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  "component_boundaries": [
    {
      "component": "Lega source-derived translation and source-derived exercises",
      "license": "CC BY-NC-SA 4.0"
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    {
      "component": "independently authored hints, checks, support, notebooks, and bridge modules",
      "license": "CC BY-NC-SA 4.0",
      "relationship": "separately marked adaptation additions"
    },
    {
      "component": "Indonesian terminology comparison witness arXiv:2001.05854v1",
      "license": "CC BY-SA 4.0",
      "relationship": "evidence only; not relicensed into the Lega adaptation"
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      "component": "cited articles and external resources",
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      "relationship": "citations only"
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  "corrections": [
    {
      "correction_id": "O005-CORR-0001",
      "rationale": "Ordinary distance is not periodic at the index seam; silently changing the translated equation would misrepresent the source.",
      "severity": "P2",
      "source_location": "record 27, model equation and periodic-boundary prose",
      "source_text": "The text states periodic boundary conditions but writes ordinary |i-j| in the interaction term.",
      "status": "documented_implementation_choice",
      "target_correction": "The translation preserves the displayed source equation; the independent notebook explicitly uses circular distance and labels that implementation choice.",
      "unit_id": "O005-LEGA-V101-CH02"
    },
    {
      "correction_id": "O005-CORR-0002",
      "rationale": "The source does not determine a magnitude-weighted alternative.",
      "severity": "P2",
      "source_location": "record 27, enthusiasm prose versus h_i(t) equation",
      "source_text": "The prose suggests that neighbors' enthusiasm levels influence h_i(t), while the displayed sum counts only the binary condition x_j(t)>A.",
      "status": "documented_implementation_choice",
      "target_correction": "The translation preserves both source surfaces; the notebook follows the written binary kernel and discloses that choice.",
      "unit_id": "O005-LEGA-V101-CH02"
    },
    {
      "correction_id": "O005-CORR-0003",
      "rationale": "The reader otherwise could not perform the chapter's numerical modeling activity with the frozen lawful source closure.",
      "severity": "P2",
      "source_location": "record 27, Test the model",
      "source_text": "The central numerical activity depends on The_Wave.m and a MATLAB GUI that are not present in the admitted editable closure.",
      "status": "resolved_by_open_reimplementation",
      "target_correction": "A new open NumPy/Matplotlib notebook independently implements the stated pulse, thresholds, periodic lattice, and parameter experiments without importing proprietary code.",
      "unit_id": "O005-LEGA-V101-CH02"
    },
    {
      "correction_id": "O005-CORR-0004",
      "rationale": "These are reproducibility choices, not claimed corrections to the source model.",
      "severity": "P3",
      "source_location": "record 27, discrete update description",
      "source_text": "Initial seeds, synchronous versus sequential updating, index orientation, reset/re-excitation behavior, and spectator-specific timing are not fully specified.",
      "status": "documented_implementation_choice",
      "target_correction": "The notebook documents deterministic synchronous updates, fixed orientation, explicit seed/state initialization, and explicit reset/re-excitation conventions.",
      "unit_id": "O005-LEGA-V101-CH02"
    },
    {
      "correction_id": "O005-CORR-0005",
      "rationale": "Newton's second law is m times acceleration equals total force.",
      "severity": "P2",
      "source_location": "record 38, Newton's-law prose before Equation 3.3",
      "source_text": "The prose says that acceleration equals the sum of the forces, omitting the mass factor present in the displayed equation.",
      "status": "corrected_in_translation",
      "target_correction": "The translation states that mass times acceleration equals the resultant force and preserves Equation 3.3.",
      "unit_id": "O005-LEGA-V101-CH03"
    },
    {
      "correction_id": "O005-CORR-0006",
      "rationale": "The section has already changed to dimensionless time tau.",
      "severity": "P2",
      "source_location": "record 38, Equation 3.13 domain",
      "source_text": "The scaled phase-plane equation pairs d theta/d tau with a domain statement written for d theta/d t.",
      "status": "corrected_in_translation",
      "target_correction": "The target domain statement consistently uses d theta/d tau.",
      "unit_id": "O005-LEGA-V101-CH03"
    },
    {
      "correction_id": "O005-CORR-0007",
      "rationale": "Reality requires cos(theta) greater than or equal to -E; E=-1 is an equilibrium and E=1 is a separatrix, not a periodic closed orbit in the stated plane.",
      "severity": "P1",
      "source_location": "record 38, energy intervals after Equation 3.13 and Figure 3.4 labels",
      "source_text": "The allowed interval is written with arccos(E), and the E=1 endpoint and broad E<1 figure label are grouped with closed orbits.",
      "status": "corrected_in_translation",
      "target_correction": "The target uses turning points based on arccos(-E), identifies E=1 as the separatrix, and labels closed orbits with the exact interval -1<E<1 in prose and both Figure 3.4 callouts.",
      "unit_id": "O005-LEGA-V101-CH03"
    },
    {
      "correction_id": "O005-CORR-0008",
      "rationale": "For d theta/d tau=Lambda and d Lambda/d tau=-sin(theta), these are the two vector-field components.",
      "severity": "P1",
      "source_location": "record 38, direction field below Figure 3.2",
      "source_text": "The direction-field vector is stated as (1,-sin(theta)).",
      "status": "corrected_in_translation",
      "target_correction": "The target states (Lambda,-sin(theta)).",
      "unit_id": "O005-LEGA-V101-CH03"
    },
    {
      "correction_id": "O005-CORR-0009",
      "rationale": "Degenerate critical points and non-simple turning points need not have the asserted local phase portrait.",
      "severity": "P2",
      "source_location": "record 38, general potential discussion and Problem 16",
      "source_text": "Fixed points are called extrema of V and every minimum/maximum is classified as a center/saddle without qualification.",
      "status": "corrected_in_translation",
      "target_correction": "The target requires V'(x0)=0 and qualifies the prose and Problem 16 classification for nondegenerate minima/maxima, with crossings considered where V' is nonzero.",
      "unit_id": "O005-LEGA-V101-CH03"
    },
    {
      "correction_id": "O005-CORR-0010",
      "rationale": "Pointwise vanishing velocity does not make energy globally constant, and damped saddles have exceptional stable trajectories.",
      "severity": "P2",
      "source_location": "record 38, damped energy argument after Equation 3.17",
      "source_text": "The prose infers convergence to E=-1 from d theta/d tau being nonzero and does not exclude saddle stable manifolds or equilibrium initial data.",
      "status": "corrected_in_translation",
      "target_correction": "The target states monotonic energy loss when velocity is nonzero, then gives the generic convergence claim for non-equilibrium trajectories outside saddle stable manifolds.",
      "unit_id": "O005-LEGA-V101-CH03"
    },
    {
      "correction_id": "O005-CORR-0011",
      "rationale": "The repeated negative eigenvalue is the transition between spiral and distinct-real stable nodes.",
      "severity": "P2",
      "source_location": "record 38, eigenvalue classification near damped equilibria",
      "source_text": "The repeated-root boundary is not identified separately as the critically damped stable-node case.",
      "status": "clarified_in_translation",
      "target_correction": "The target and mastery layer classify alpha squared equal to 4 as a critically damped stable node.",
      "unit_id": "O005-LEGA-V101-CH03"
    },
    {
      "correction_id": "O005-CORR-0012",
      "rationale": "A non-equilibrium orbit approaches an equilibrium asymptotically; the equilibrium is not traversed at finite time.",
      "severity": "P3",
      "source_location": "record 38, stable and unstable separatrix wording",
      "source_text": "Trajectories are described as emanating from or converging to saddles without distinguishing the orbit from its limiting endpoint.",
      "status": "clarified_in_translation",
      "target_correction": "The target places saddle endpoints in the closure of the stable or unstable branch.",
      "unit_id": "O005-LEGA-V101-CH03"
    },
    {
      "correction_id": "O005-CORR-0013",
      "rationale": "The labels must match Equations 3.11 and 3.12.",
      "severity": "P2",
      "source_location": "record 38, Problem 1",
      "source_text": "The two harmonic-solution parameterizations are mislabeled when the problem asks for constants and initial conditions.",
      "status": "corrected_in_translation",
      "target_correction": "The target consistently asks first for C and phi and then for A and B in the corresponding forms.",
      "unit_id": "O005-LEGA-V101-CH03"
    },
    {
      "correction_id": "O005-CORR-0014",
      "rationale": "This removes a sign ambiguity without changing the intended oscillator family.",
      "severity": "P3",
      "source_location": "record 38, Problem 11",
      "source_text": "The oscillator parameter omega is not explicitly restricted even though the requested frequency interpretation assumes it is positive.",
      "status": "clarified_in_translation",
      "target_correction": "The target states omega greater than zero.",
      "unit_id": "O005-LEGA-V101-CH03"
    },
    {
      "correction_id": "O005-CORR-0015",
      "rationale": "Real positive changes of scale cannot change a coefficient's sign or turn zero into a nonzero value.",
      "severity": "P2",
      "source_location": "record 38, Problem 12 scaling claim",
      "source_text": "The prompt suggests that both parameters can be normalized without preserving zero and sign cases.",
      "status": "corrected_in_translation",
      "target_correction": "The target separates zero cases and states that positive scalings normalize magnitudes while parameter signs remain invariant.",
      "unit_id": "O005-LEGA-V101-CH03"
    },
    {
      "correction_id": "O005-CORR-0016",
      "rationale": "These forms are valid for all parameter orderings and bounded-set cases posed by the exercises.",
      "severity": "P2",
      "source_location": "record 38, Problems 14 and 18",
      "source_text": "The interval notation and extrema language assume ordered endpoints and attained bounds without stating the needed hypotheses.",
      "status": "corrected_in_translation",
      "target_correction": "Problem 14 uses min/max to order interval endpoints; Problem 18 uses infimum/supremum where extrema need not be attained.",
      "unit_id": "O005-LEGA-V101-CH03"
    },
    {
      "correction_id": "O005-CORR-0017",
      "rationale": "This restores the computational activity without copying unavailable or proprietary code.",
      "severity": "P2",
      "source_location": "record 38, Maple/MATLAB/PPLANE computation surfaces",
      "source_text": "The chapter relies on proprietary or externally hosted phase-plane software whose source is not part of the admitted reader closure.",
      "status": "resolved_by_open_reimplementation",
      "target_correction": "A new offline NumPy/SciPy/Matplotlib notebook independently implements the stated systems, phase portraits, and numerical energy checks.",
      "unit_id": "O005-LEGA-V101-CH03"
    },
    {
      "correction_id": "O005-CORR-0018",
      "rationale": "Using a material derivative here would double-count convection; the Eulerian Navier-Stokes form uses a partial time derivative plus (V dot nabla)V.",
      "severity": "P2",
      "source_location": "record 39, Navier-Stokes equation",
      "source_text": "The Eulerian fluid equation writes dV/dt next to the convective derivative.",
      "status": "corrected_in_translation",
      "target_correction": "The target writes the local term as partial V/partial t.",
      "unit_id": "O005-LEGA-V101-CH04"
    },
    {
      "correction_id": "O005-CORR-0019",
      "rationale": "Euler components and principal moments must share the same indexed axes, and the published TeX array is otherwise malformed.",
      "severity": "P1",
      "source_location": "record 39, Equations 4.5-4.7 and rigid-body prose",
      "source_text": "Equation 4.5 differentiates omega_y in the -y component and uses I_t in the p component; Equation 4.7 omits the array column specification; nearby prose mixes y and -y conventions.",
      "status": "corrected_in_translation",
      "target_correction": "The target uses omega_-y and I_p, restores the two-column array specification, identifies p with the in-plane tangent t, and uses the -y component consistently.",
      "unit_id": "O005-LEGA-V101-CH04"
    },
    {
      "correction_id": "O005-CORR-0020",
      "rationale": "Direct integration of the displayed omega_-y(t) requires these constants and satisfies the initial condition exactly.",
      "severity": "P1",
      "source_location": "record 39, free-flight angular solutions",
      "source_text": "Both displayed theta(t) solutions omit an integration constant; the nonzero-spin expression therefore fails theta(0) at t=0.",
      "status": "corrected_in_translation",
      "target_correction": "The zero-spin solution includes theta(0); the spinning solution uses omega_-y(0) sin(delta t)/delta + omega_p(0)(1-cos(delta t))/delta.",
      "unit_id": "O005-LEGA-V101-CH04"
    },
    {
      "correction_id": "O005-CORR-0021",
      "rationale": "The nonzero return time is positive only after upward takeoff; the potential derivative must match Equation 4.11's named force function.",
      "severity": "P2",
      "source_location": "record 39, free-flight duration and potential definition",
      "source_text": "The positive free-flight root is stated without v_z(0)>0 and U(z) is defined by integrating undefined F(s) instead of script F(s).",
      "status": "corrected_in_translation",
      "target_correction": "The target states v_z(0)>0 and defines U using the force function script F consistently.",
      "unit_id": "O005-LEGA-V101-CH04"
    },
    {
      "correction_id": "O005-CORR-0022",
      "rationale": "The degree command is typographically correct and the intended friction coefficient is the one used throughout Equations 4.2 and 4.10.",
      "severity": "P2",
      "source_location": "record 39, summary",
      "source_text": "The optimal angle uses 20^o and the final sentence invokes undefined C_n although the model defines C_l and C_f.",
      "status": "corrected_in_translation",
      "target_correction": "The target uses 20 degrees and C_f.",
      "unit_id": "O005-LEGA-V101-CH04"
    },
    {
      "correction_id": "O005-CORR-0023",
      "rationale": "These conditions follow the chapter's own coordinate convention and are required for the exercise derivations to be determinate and physically admissible.",
      "severity": "P2",
      "source_location": "record 39, Problems 1-3",
      "source_text": "Problem 1 lists y instead of -y; Problem 2 omits its initial conditions and partial-immersion domain; Problem 3 omits the geometric, kinematic, and positivity assumptions needed for the stated bound.",
      "status": "clarified_in_translation",
      "target_correction": "The target uses axes (-y,n,p), supplies z(0)=0 and zdot(0)=v_z(0)<0 on -a sin(theta)<=z<=0, and states the thin-stone immersion threshold, incidence relation, C>0, and positive-denominator domain.",
      "unit_id": "O005-LEGA-V101-CH04"
    },
    {
      "correction_id": "O005-CORR-0024",
      "rationale": "Bocquet's primary author PDF Equation 20 and appendix give the nu-squared form; dimensional analysis also requires an inverse-time-squared restoring coefficient.",
      "severity": "P1",
      "source_location": "record 39, Problem 4 and cited Bocquet Equation 20",
      "source_text": "The printed restoring coefficient lacks both Omega_0 squared and the squared inertia ratio, and the torque is described on +y despite the chapter's -y Euler component.",
      "status": "corrected_in_translation",
      "target_correction": "The target defines nu=((J0-J1)/J1)Omega_0 and uses theta double dot + nu^2(theta-theta0)=M_theta/J1 with M_theta=N_-y; mastery gives the full Euler reduction and assumptions.",
      "unit_id": "O005-LEGA-V101-CH04"
    },
    {
      "correction_id": "O005-CORR-0025",
      "rationale": "This preserves the numerical comparison while removing the implication of interval membership.",
      "severity": "P3",
      "source_location": "record 48, red-tailed-hawk fit discussion",
      "source_text": "The text says 1.025 is close to the cited 95 percent interval [1.026, 1.029] without noting that it lies outside that interval.",
      "status": "clarified_in_translation",
      "target_correction": "The target states that 1.025 is nearby but slightly below and outside the quoted interval.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0026",
      "rationale": "Birth and death rates are per-capita rates; their difference has inverse-time units, not individuals per time.",
      "severity": "P1",
      "source_location": "record 48, discrete Malthus rate units",
      "source_text": "The net per-capita rate b-d=0.025 is labeled individuals per year.",
      "status": "corrected_in_translation",
      "target_correction": "The target gives b-d=0.025 year^-1.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0027",
      "rationale": "The two quantities have different dimensions, and a negative population update is inadmissible.",
      "severity": "P2",
      "source_location": "record 48, logistic discrete model",
      "source_text": "The symbol kappa is reused for a dimensionless multiplier and an inverse-population coefficient, and the nonlinear update omits its nonnegativity domain.",
      "status": "clarified_in_translation",
      "target_correction": "The target distinguishes the second kappa's units and requires the update multiplier to remain nonnegative on the modeled state range.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0028",
      "rationale": "Unit-modulus linearization alone does not determine nonlinear stability.",
      "severity": "P1",
      "source_location": "record 48, fixed-point linear stability",
      "source_text": "A fixed point with derivative modulus one is called marginally stable.",
      "status": "corrected_in_translation",
      "target_correction": "The target calls it nonhyperbolic and states that linearization is inconclusive until nonlinear terms are examined.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0029",
      "rationale": "For f(x)=x(1-x), the quadratic term produces different behavior on the two sides of zero.",
      "severity": "P2",
      "source_location": "record 48, logistic map at a=1",
      "source_text": "The zero fixed point is called marginally stable at a=1 without specifying the physical state space.",
      "status": "clarified_in_translation",
      "target_correction": "The target states that it is nonhyperbolic, attracting from the right on [0,1], and only one-sided attracting on the real line.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0030",
      "rationale": "The linked author and publication metadata identify Feigenbaum.",
      "severity": "P3",
      "source_location": "record 48, Feigenbaum footnote",
      "source_text": "The cited author's surname is printed as Feigenbaurn.",
      "status": "corrected_in_translation",
      "target_correction": "The target spells Mitchell J. Feigenbaum correctly.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0031",
      "rationale": "A probability cannot be negative; separate birth and death event probabilities would be required for that interpretation.",
      "severity": "P1",
      "source_location": "record 48, continuous-limit interpretation",
      "source_text": "The net rate R=b-d is described as a per-capita probability of growth even though it may be negative.",
      "status": "corrected_in_translation",
      "target_correction": "The target describes R delta-t as expected net per-capita change and states that it is not a probability when negative.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0032",
      "rationale": "The printed formula is undefined at zero, which is itself an exact equilibrium solution.",
      "severity": "P1",
      "source_location": "record 48, continuous logistic solution",
      "source_text": "The displayed solution divides by M0 yet is asserted for all M0, and convergence to one is asserted for all initial values when lambda is positive.",
      "status": "corrected_in_translation",
      "target_correction": "The target restricts the displayed formula and convergence statement to positive M0 and handles M0=0 separately as the zero equilibrium.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0033",
      "rationale": "Figure 5.7 analyzes the autonomous equation numbered 5.6 in this chapter.",
      "severity": "P2",
      "source_location": "record 48, Figure 5.7 caption",
      "source_text": "The caption points to nonexistent Equation 5.39.",
      "status": "corrected_in_translation",
      "target_correction": "The target points to Equation 5.6.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0034",
      "rationale": "A tangent zero can leave the sign unchanged and yields semistable or nonhyperbolic behavior.",
      "severity": "P1",
      "source_location": "record 48, one-dimensional phase-line rule",
      "source_text": "The text states that f changes sign at every fixed point.",
      "status": "corrected_in_translation",
      "target_correction": "The target instructs readers to inspect signs on both sides and notes that even-multiplicity zeros need not change sign.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0035",
      "rationale": "The diagonal entries can be negative for large time steps, and classical Leslie matrices have a more specific age-class structure.",
      "severity": "P1",
      "source_location": "record 48, age-structured projection matrix",
      "source_text": "The matrix is called a Leslie matrix and said to be nonnegative without the step-size restrictions needed for nonnegative diagonal retention terms.",
      "status": "corrected_in_translation",
      "target_correction": "The target supplies the three nonnegativity inequalities and identifies the retained-stage form as a stage-class projection matrix of Lefkovitch type rather than a classical Leslie matrix.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0036",
      "rationale": "The linked paper and its bibliographic citation are from 1998.",
      "severity": "P2",
      "source_location": "record 48, LPA review citation",
      "source_text": "The prose calls the linked Journal of Theoretical Biology paper a 2004 article.",
      "status": "corrected_in_translation",
      "target_correction": "The target gives the publication year 1998.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0037",
      "rationale": "The unqualified statement is false for broader continuous-time or nonautonomous model classes.",
      "severity": "P1",
      "source_location": "record 48, chapter summary chaos claim",
      "source_text": "The summary says one- and two-dimensional continuous models cannot exhibit chaos without the autonomous-flow and regularity qualifications.",
      "status": "clarified_in_translation",
      "target_correction": "The target limits the claim to regular one-dimensional autonomous ODEs and two-dimensional autonomous planar flows with unique solutions.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0038",
      "rationale": "Forward difference and exact flow sampling give different kappa-r relations.",
      "severity": "P2",
      "source_location": "record 48, Problems 1 and 2",
      "source_text": "The fitting interval and the intended discrete-continuous correspondence are underspecified, making the growth-factor and faster-or-slower comparisons ambiguous.",
      "status": "clarified_in_translation",
      "target_correction": "The target specifies the chapter's 1950-1995 fit interval and requires the student to distinguish forward-difference correspondence from exact sampling while using the former for the speed comparison.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0039",
      "rationale": "At the saddle-node parameter values the derivative test is inconclusive.",
      "severity": "P2",
      "source_location": "record 48, Problem 8",
      "source_text": "The stable-or-unstable binary does not cover the double equilibria at a=0 and a=4/27.",
      "status": "clarified_in_translation",
      "target_correction": "The target explicitly classifies the critical double equilibria as nonhyperbolic rather than forcing the binary labels.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0040",
      "rationale": "Both data surfaces are required to determine a solution across the age-time domain.",
      "severity": "P1",
      "source_location": "record 48, Problems 9 and 10",
      "source_text": "The McKendrick-von Foerster PDE is requested without initial age data or an age-zero birth boundary condition.",
      "status": "clarified_in_translation",
      "target_correction": "The target asks for the characteristic solution in terms of M(a,0)=M0(a) and M(0,t)=B(t).",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0041",
      "rationale": "The exponential coefficient must be positive and probability parameters must lie in the unit interval.",
      "severity": "P1",
      "source_location": "record 48, Problem 14",
      "source_text": "Parameter c is omitted from the parameter declaration, while d_J and d_A are only called positive despite appearing as per-step death probabilities.",
      "status": "corrected_in_translation",
      "target_correction": "The target declares b>0, c>0, and 0<=d_J,d_A<=1.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0042",
      "rationale": "The computational activity remains reproducible offline without proprietary software or live fetching.",
      "severity": "P2",
      "source_location": "record 48, Problem 16 computation surface",
      "source_text": "The exercise depends on MATLAB or Excel although no code or data packet is bundled in the admitted source closure.",
      "status": "resolved_by_open_reimplementation",
      "target_correction": "The target directs readers to the verified local Census packet and independently implemented open Python notebook.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0043",
      "rationale": "Unique IDs prevent ambiguous anchors, native sizing avoids avoidable blur, and localized labels make the figures readable without changing plotted geometry.",
      "severity": "P2",
      "source_location": "record 48, Figures 5.1-5.7",
      "source_text": "Captions 5.3-5.7 reuse attachment_47, Figures 5.1-5.3 upscale 300-pixel rasters to 450 pixels, and three source figures retain English-only labels.",
      "status": "corrected_and_accessibilized_in_translation",
      "target_correction": "The target assigns unique caption IDs 43-47, uses native display dimensions, preserves all seven frozen rasters, and supplies self-contained Indonesian label adaptations for Figures 5.1, 5.2, and 5.7 with long descriptions and provenance.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0044",
      "rationale": "The update multiplies N(t) by the full factor; only its excess over one is the fractional change.",
      "severity": "P1",
      "source_location": "record 48, nonlinear discrete logistic multiplier",
      "source_text": "The factor 1+kappa(N_infinity-N(t)) is called a growth rate per time step.",
      "status": "corrected_in_translation",
      "target_correction": "The target calls the full expression the one-step growth multiplier and separately identifies kappa(N_infinity-N(t)) as the fractional growth per step.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0045",
      "rationale": "The Unicode degree sign preserves the intended angle and avoids confusing the letter o with an angular unit.",
      "severity": "P3",
      "source_location": "record 48, Problem 15 quoted degree notation",
      "source_text": "Three quoted 45-degree labels use a superscript letter o.",
      "status": "corrected_typography_in_translation",
      "target_correction": "The target retains the quotations while replacing the letter with the degree sign.",
      "unit_id": "O005-LEGA-V101-CH05"
    },
    {
      "correction_id": "O005-CORR-0046",
      "rationale": "A quantity with units of time cannot also be the dimensionless independent variable in the same scaling definition.",
      "severity": "P1",
      "source_location": "record 53, predator-prey scaling paragraph",
      "source_text": "The symbol tau is first assigned the dimensional value 1/kappa as a characteristic time and then immediately redefined as the dimensionless time kappa t.",
      "status": "corrected_in_translation",
      "target_correction": "The target names the characteristic time t_0=1/kappa and reserves tau=kappa t for dimensionless time.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0047",
      "rationale": "Because b is proportional to beta, beta=0 implies b=0.",
      "severity": "P2",
      "source_location": "record 53, predator-prey dimensionless parameters",
      "source_text": "The text concludes that a and b are positive although the immediately preceding model explicitly permits beta=0 and later analyzes b=0.",
      "status": "corrected_in_translation",
      "target_correction": "The target states a>0 and b>=0.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0048",
      "rationale": "A fixed point with a zero eigenvalue is not a hyperbolic saddle.",
      "severity": "P1",
      "source_location": "record 53, equilibrium P1 at b=1",
      "source_text": "The text calls P1 a saddle for b<=1 while parenthetically noting a neutral direction at b=1; at b=1, P1 and P2 coincide and one eigenvalue is zero.",
      "status": "corrected_in_translation",
      "target_correction": "The target classifies P1 as a saddle only for 0<b<1 and treats b=1 as a coincident nonhyperbolic boundary case.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0049",
      "rationale": "Direct substitution of P2 into J(f,s) fixes the argument order while leaving the displayed matrix entries unchanged.",
      "severity": "P1",
      "source_location": "record 53, Jacobian at equilibrium P2",
      "source_text": "Three displayed evaluations reverse the coordinates of P2 and write J(1-b,1) despite the preceding definition P2=(1,1-b).",
      "status": "corrected_in_translation",
      "target_correction": "The target consistently evaluates J(1,1-b) in the matrix, determinant, and trace statements.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0050",
      "rationale": "Positive determinant and negative trace, used by the source classification, hold only for the strict interior range.",
      "severity": "P1",
      "source_location": "record 53, stability of equilibrium P2",
      "source_text": "The unconditional stable-node-or-stable-spiral statement includes the b=1 boundary where determinant zero and P2 is nonhyperbolic.",
      "status": "corrected_in_translation",
      "target_correction": "The target restricts the stable node or stable spiral classification to 0<b<1 and identifies b=1 as the degenerate boundary.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0051",
      "rationale": "The surrounding invariant-level-set argument and figure both concern closed orbits.",
      "severity": "P3",
      "source_location": "record 53, Lotka-Volterra orbit proof",
      "source_text": "The phrase existence of close trajectories is a typographic error in a discussion of closed phase-plane curves.",
      "status": "corrected_typography_in_translation",
      "target_correction": "The target says closed trajectories.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0052",
      "rationale": "Solving x(1-x-ay)=0 and y(1-y-bx)=0 yields the two axial equilibria (1,0) and (0,1).",
      "severity": "P1",
      "source_location": "record 53, competing-species fixed-point list",
      "source_text": "The list repeats P2=(1,0), even though the subsequent analysis evaluates P2 at (0,1).",
      "status": "corrected_in_translation",
      "target_correction": "The target gives P2=(0,1).",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0053",
      "rationale": "Direct expansion from the source's own T and D establishes the additional term; under the admitted same-sign conditions it is nonnegative and the real-eigenvalue conclusion still follows.",
      "severity": "P1",
      "source_location": "record 53, discriminant at equilibrium P3",
      "source_text": "The stated discriminant omits the term 4abc(a-1)(b-1)/(1-ab)^2.",
      "status": "corrected_in_translation",
      "target_correction": "The target gives T^2-4D={[(a-1)-c(b-1)]^2+4abc(a-1)(b-1)}/{(1-ab)^2}.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0054",
      "rationale": "At a=1 or b=1 the interior equilibrium meets an axial equilibrium and the strict first-quadrant condition fails.",
      "severity": "P1",
      "source_location": "record 53, coexistence condition",
      "source_text": "The text infers coexistence for a<=1 and b<=1 while the defined interior equilibrium and hyperbolic stability require strict inequalities; equality is a boundary degeneracy.",
      "status": "corrected_in_translation",
      "target_correction": "The target states a<1 and b<1 for positive stable coexistence and labels equality as a degenerate boundary case.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0055",
      "rationale": "Eigenvalues of opposite sign classify the origin as a saddle.",
      "severity": "P1",
      "source_location": "record 53, Figure 6.1 description",
      "source_text": "The long description calls the origin an unstable source although the chapter's correct Jacobian calculation gives eigenvalues a and -1.",
      "status": "corrected_accessibility_description",
      "target_correction": "The target long description calls the origin a saddle.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0056",
      "rationale": "Nearby trajectories remain on distinct invariant closed curves and do not converge to the center.",
      "severity": "P2",
      "source_location": "record 53, Figure 6.2 description",
      "source_text": "The long description calls the undamped family of closed Lotka-Volterra orbits a periodic stable system, which can imply asymptotic stability.",
      "status": "clarified_accessibility_description",
      "target_correction": "The target describes neutrally stable closed orbits without damping.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0057",
      "rationale": "Several inequivalent models satisfy the prose; declaring the closure makes the exercise assessable without pretending it was uniquely implied.",
      "severity": "P1",
      "source_location": "record 53, Problem 1",
      "source_text": "The prose does not specify a nutrient-consumption law, biomass-conversion law, or nutrient removal mechanism, so it does not determine a unique continuous-time model.",
      "status": "clarified_in_translation",
      "target_correction": "The target explicitly asks the learner to state assumptions and provides the simplest mass-action uptake and conversion closure as the reference interpretation.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0058",
      "rationale": "The mathematical activity remains reproducible offline without importing proprietary application code.",
      "severity": "P2",
      "source_location": "record 53, Problems 3 and 4 computation surface",
      "source_text": "The exercises point to the MathWorks Phase Plane App or equivalent software, while no executable computation surface is bundled with the admitted source closure.",
      "status": "resolved_by_open_reimplementation",
      "target_correction": "The target points to an independently implemented, verified local Python phase-plane notebook as the open equivalent.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0059",
      "rationale": "Trajectories started on that one-dimensional invariant manifold converge to P3 rather than either stable axial equilibrium.",
      "severity": "P1",
      "source_location": "record 53, epsilon=-1 competition dynamics",
      "source_text": "The prose and Figure 6.4 description say one species goes extinct without excluding initial conditions on the stable manifold of the interior saddle P3.",
      "status": "clarified_in_translation",
      "target_correction": "The target states the extinction outcome for generic interior initial conditions and identifies the stable manifold of P3 as the basin boundary and exact exception.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0060",
      "rationale": "The return link now lands on Figure 6.4 itself while source order and auditability remain explicit.",
      "severity": "P2",
      "source_location": "record 53, Figure 6.4 anchor",
      "source_text": "The Fig_6.4 anchor occurs after the combined Figure 6.3/6.4 caption block, so the long-description return link lands below the intended figure.",
      "status": "corrected_accessibility_navigation",
      "target_correction": "The target relocates Fig_6.4 to the second image and retains a uniquely named post-caption witness anchor for topology replay.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0061",
      "rationale": "The distinction follows directly from the algebra of the predator equation and prevents conflating a bilinear mass-action term with a linear state term.",
      "severity": "P1",
      "source_location": "record 53, predator interaction term",
      "source_text": "The product delta F S is called a linear term, although it is bilinear in the two state variables.",
      "status": "corrected_in_translation",
      "target_correction": "The target calls delta F S a bilinear interaction term and notes that its per-capita contribution is linear in prey abundance.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0062",
      "rationale": "Linearization alone controls only a neighborhood of the equilibrium; the stated basin-wide conclusion needs a global theorem.",
      "severity": "P1",
      "source_location": "record 53, global convergence to P2",
      "source_text": "The text presents convergence of every positive trajectory to P2 as a consequence of the preceding local Jacobian analysis.",
      "status": "clarified_in_translation",
      "target_correction": "The target separates local stability from the additional global argument requiring boundedness, exclusion of periodic orbits, and limit-set analysis.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0063",
      "rationale": "Both factors f exp(-f) and (s exp(-s))^a are strictly positive when f,s>0.",
      "severity": "P1",
      "source_location": "record 53, Lotka-Volterra invariant level",
      "source_text": "The integration constant zeta is called nonnegative while the claimed closed orbit lies strictly in the positive quadrant; zeta=0 is a degenerate boundary level.",
      "status": "corrected_in_translation",
      "target_correction": "The target states zeta>0 for interior trajectories and identifies the zero level as boundary-degenerate rather than a closed interior orbit.",
      "unit_id": "O005-LEGA-V101-CH06"
    },
    {
      "correction_id": "O005-CORR-0064",
      "rationale": "The cited PNAS article's author list gives Sebastian Bonhoeffer.",
      "severity": "P3",
      "source_location": "record 57, viral-infection footnote",
      "source_text": "The footnote's author list spells S. Bonhoeffer as S. Bonhoe er.",
      "status": "corrected_typography_in_translation",
      "target_correction": "The target restores the surname Bonhoeffer.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0065",
      "rationale": "Normal and uninfected are not synonymous in a viral-dynamics model; the state definition controls the later scaling discussion.",
      "severity": "P2",
      "source_location": "record 57, alternative viral-model scaling",
      "source_text": "The established state X is described as uninfected cells and then called normal cells twice, which needlessly changes the biological category.",
      "status": "clarified_in_translation",
      "target_correction": "The target consistently says uninfected cells.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0066",
      "rationale": "The stated MSEIRS topology itself includes transitions that are not caused by active disease.",
      "severity": "P2",
      "source_location": "record 57, MSEIRS ordering",
      "source_text": "The source says every rightward compartment transition occurs under the effect of the disease, although M-to-S and R-to-S are immunity-loss transitions.",
      "status": "clarified_in_translation",
      "target_correction": "The target says that the ordering represents infection progression or changes in immune status.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0067",
      "rationale": "Passive maternal immunity depends on transferred maternal antibodies rather than requiring active infection at birth.",
      "severity": "P2",
      "source_location": "record 57, passive-immunity class M",
      "source_text": "The source characterizes newborns with passive immunity as having mothers who were infected, although current maternal infection is neither necessary nor the defining condition.",
      "status": "corrected_in_translation",
      "target_correction": "The target describes mothers who have immunity and transfer antibodies through the placenta.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0068",
      "rationale": "In the MSEIR transition structure, exposure must represent infection before infectiousness; contact alone does not establish compartment membership.",
      "severity": "P1",
      "source_location": "record 57, exposed class E",
      "source_text": "Class E is defined merely as contact with an infected person.",
      "status": "corrected_in_translation",
      "target_correction": "The target defines E as infected individuals in the latent, not-yet-infectious state.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0069",
      "rationale": "Deceased members cannot return to the susceptible living population; only an immunity-losing recovered subgroup can do so.",
      "severity": "P1",
      "source_location": "record 57, return from class R",
      "source_text": "The text allows individuals in R to become susceptible again even though its preceding definition also places deceased individuals in R.",
      "status": "corrected_in_translation",
      "target_correction": "The target restricts the R-to-S statement to recovered individuals.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0070",
      "rationale": "The subsequent scaling and finite infectious-period quantities are undefined or contradictory at beta=0.",
      "severity": "P1",
      "source_location": "record 57, classic SIR recovery rate",
      "source_text": "The source permits beta=0 immediately before defining delta=beta/alpha>0, the infectious time 1/beta, and R_0=alpha/beta.",
      "status": "corrected_in_translation",
      "target_correction": "The target requires beta>0 for this analysis.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0071",
      "rationale": "For a partially susceptible initial population the effective initial reproduction factor includes the susceptible fraction.",
      "severity": "P1",
      "source_location": "record 57, contact number and R_0",
      "source_text": "The source identifies alpha/beta with the basic reproduction number without stating the fully susceptible reference condition.",
      "status": "clarified_in_translation",
      "target_correction": "The target says the equality applies when infection is introduced into a wholly susceptible population.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0072",
      "rationale": "The invariant set is closed and includes both coordinate-axis boundaries.",
      "severity": "P2",
      "source_location": "record 57, invariant SIR triangle",
      "source_text": "The text says s and i remain positive although the defined triangle includes s=0 and i=0 and the boundary analysis preserves those zero values.",
      "status": "corrected_in_translation",
      "target_correction": "The target says nonnegative.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0073",
      "rationale": "System (7.4) is explicitly differentiated with respect to tau.",
      "severity": "P2",
      "source_location": "record 57, classic SIR long-time limit",
      "source_text": "The phase-plane discussion of the dimensionless system writes lim as t tends to infinity after defining tau as its independent variable.",
      "status": "corrected_in_translation",
      "target_correction": "The target writes the limit as tau tends to infinity.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0074",
      "rationale": "At eta=0 the asserted equilibrium structure degenerates and the later classification no longer applies as written.",
      "severity": "P1",
      "source_location": "record 57, endemic-model demographic rates",
      "source_text": "The subsequent isolated-equilibrium and stability analysis silently requires positive birth and death rates, but the source does not state this before setting mu=nu.",
      "status": "clarified_in_translation",
      "target_correction": "The target explicitly assumes the two per-capita rates are positive.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0075",
      "rationale": "Direct substitution and the displayed Jacobian establish the omitted threshold case.",
      "severity": "P1",
      "source_location": "record 57, endemic threshold boundary",
      "source_text": "The source gives P_2 in T for eta+delta<=1 but analyzes only the strict greater-than and less-than cases.",
      "status": "corrected_in_translation",
      "target_correction": "The target states that at eta+delta=1, P_2=P_1=(1,0) and the coincident equilibrium is nonhyperbolic with a zero eigenvalue.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0076",
      "rationale": "Linearization is local; the displayed planar system admits the added comparison and Dulac calculations needed for the stated global conclusions.",
      "severity": "P1",
      "source_location": "record 57, global endemic-model convergence",
      "source_text": "Basin-wide convergence is asserted from local Jacobian classifications alone, and the source does not distinguish the invariant disease-free boundary in the endemic case.",
      "status": "clarified_in_translation",
      "target_correction": "The target separates local stability from global arguments: a comparison inequality proves convergence when eta+delta>1, while invariance plus a Bendixson-Dulac exclusion proves interior convergence to P_2 when eta+delta<1; the disease-free boundary is stated separately.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0077",
      "rationale": "The plotted point is P_2=(0.3,0.1(0.7)/0.3), matching the caption rather than the swapped prose values.",
      "severity": "P1",
      "source_location": "record 57, Figure 7.3 parameters",
      "source_text": "The prose gives eta=0.2 and delta=0.1, while the caption and plotted interior equilibrium correspond to eta=0.1 and delta=0.2.",
      "status": "corrected_in_translation",
      "target_correction": "The target prose uses eta=0.1 and delta=0.2 consistently with the caption and frozen image.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0078",
      "rationale": "The neighboring Figure 7.1 description uses the correct $latex form for the same inequality.",
      "severity": "P2",
      "source_location": "record 57, Figure 7.2 and 7.3 descriptions",
      "source_text": "Two phase-space inequalities are written as plain dollar-delimited strings rather than Pressbooks TeX and would remain raw reader text.",
      "status": "corrected_accessibility_math",
      "target_correction": "The target encodes both as Pressbooks TeX expressions.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0079",
      "rationale": "Distinct alternatives make the purpose of each linked image identifiable without changing the frozen rasters.",
      "severity": "P2",
      "source_location": "record 57, Figures 7.1-7.3 alternative text",
      "source_text": "All three figures use the same generic alternative text 'Phase portrait. Long description available.'",
      "status": "accessibilized_in_translation",
      "target_correction": "The target supplies distinct concise Indonesian alternatives identifying the classic SIR, stable disease-free endemic, and stable endemic portraits while retaining the long descriptions.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0080",
      "rationale": "Multiple inequivalent MSEIR systems satisfy the original prose, so an assessable solution must declare a closure rather than silently attribute one to the source.",
      "severity": "P1",
      "source_location": "record 57, Problem 5",
      "source_text": "The prompt requests an MSEIR system without specifying maternal-immunity loss, infection incidence, latent progression, recovery, or how births enter M and S, so no unique system follows.",
      "status": "clarified_in_translation",
      "target_correction": "The target requires learners to state assumptions and define every transition rate; the mastery and notebook give one explicitly labeled reference closure with a passively immune newborn fraction.",
      "unit_id": "O005-LEGA-V101-CH07"
    },
    {
      "correction_id": "O005-CORR-0081",
      "rationale": "The source prose and the cited book's authorship identify Paul Glansdorff.",
      "severity": "P3",
      "source_location": "record 62, Brusselator historical footnote",
      "source_text": "The bibliography spells physicist Paul Glansdorff's surname as Glansdor.",
      "status": "corrected_typography_in_translation",
      "target_correction": "The target restores Glansdorff, consistently with the chapter's adjacent citation.",
      "unit_id": "O005-LEGA-V101-CH08"
    },
    {
      "correction_id": "O005-CORR-0082",
      "rationale": "The accompanying primary-article citation establishes the singular surname.",
      "severity": "P3",
      "source_location": "record 62, Oregonator attribution",
      "source_text": "The prose names R.J. Fields, while the chapter's own citation and cited 1974 article name R.J. Field.",
      "status": "corrected_typography_in_translation",
      "target_correction": "The target uses R.J. Field.",
      "unit_id": "O005-LEGA-V101-CH08"
    },
    {
      "correction_id": "O005-CORR-0083",
      "rationale": "Distinct accurate alternatives expose each figure's purpose without changing any frozen raster.",
      "severity": "P2",
      "source_location": "record 62, Figures 8.1-8.3 alternative text",
      "source_text": "The three figures use generic phase-portrait alternatives, including Figure 8.2 even though it is a time-series graph.",
      "status": "accessibilized_in_translation",
      "target_correction": "The target supplies distinct concise alternatives identifying the Brusselator phase portrait, the X/Y time series, and the reduced-Oregonator phase portrait, while retaining every long description.",
      "unit_id": "O005-LEGA-V101-CH08"
    },
    {
      "correction_id": "O005-CORR-0084",
      "rationale": "The chapter's own Figure 8.3 long description states that the trajectory starts close to the fixed point, and uniqueness of ODE solutions rules out departure from an exact equilibrium.",
      "severity": "P1",
      "source_location": "record 62, Oregonator limit-cycle prose",
      "source_text": "The prose says trajectories starting from the fixed point converge to a limit cycle; a solution initialized exactly at a fixed point remains there.",
      "status": "corrected_in_translation",
      "target_correction": "The target says trajectories starting near the fixed point, with y and z nonzero, converge toward the displayed limit cycle.",
      "unit_id": "O005-LEGA-V101-CH08"
    },
    {
      "correction_id": "O005-CORR-0085",
      "rationale": "The activities become reproducible offline without importing or imitating proprietary program code.",
      "severity": "P2",
      "source_location": "record 62, Problems 6, 7, 10, and 11 computation surfaces",
      "source_text": "The exercises rely on PPLANE, MAPLE, or MATHEMATICA, while no executable computation surface is bundled with the admitted source closure.",
      "status": "resolved_by_open_reimplementation",
      "target_correction": "The translated prompts remain auditable and the reader adds one independently implemented, verified local Python companion covering the same phase-plane, time-series, equilibrium, and stability investigations.",
      "unit_id": "O005-LEGA-V101-CH08"
    },
    {
      "correction_id": "O005-CORR-0086",
      "rationale": "An unstable equilibrium is not an attractor, ODE uniqueness preserves the exact equilibrium trajectory, and no local Jacobian calculation alone proves an unqualified global basin statement.",
      "severity": "P1",
      "source_location": "record 62, Brusselator attractor prose",
      "source_text": "After classifying P as unstable, the text calls the limit cycle the second attractor and says all trajectories converge to it, even though the equilibrium solution initialized exactly at P remains there and attraction is a basin-qualified property.",
      "status": "clarified_in_translation",
      "target_correction": "The target calls the cycle the other attractor and states convergence for trajectories in its basin except the solution initialized exactly at P.",
      "unit_id": "O005-LEGA-V101-CH08"
    },
    {
      "correction_id": "O005-CORR-0087",
      "rationale": "N_i is the region-wide integral, whereas F is the local density in the derivation.",
      "severity": "P2",
      "source_location": "record 196, continuity derivation before Equation 9.2",
      "source_text": "The prose says the change in N_i reflects local variations of N_i, although the local field under the volume integral is F.",
      "status": "corrected_in_translation",
      "target_correction": "The target says that the change in N_i reflects local changes in F.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0088",
      "rationale": "A surface-flux integral requires the unit normal to the integration surface.",
      "severity": "P2",
      "source_location": "record 196, outward normal after Equation 9.2",
      "source_text": "The normal vector is described as normal to the volume Omega rather than to its boundary.",
      "status": "corrected_in_translation",
      "target_correction": "The target defines the outward normal on the boundary partial Omega.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0089",
      "rationale": "The adjacent equations and the stated reaction dependence establish the missing argument.",
      "severity": "P1",
      "source_location": "record 196, integral preceding Equation 9.4",
      "source_text": "R(x,y,z,t) drops the field argument F used in Equations 9.2 and 9.4.",
      "status": "corrected_in_translation",
      "target_correction": "The target restores R(x,y,z,t,F).",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0090",
      "rationale": "A nonzero source changes the domain integral even with zero boundary flux.",
      "severity": "P1",
      "source_location": "record 196, Equation 9.4 interpretation",
      "source_text": "The reaction-source continuity equation is called conservation of F without qualifying the nonzero source R.",
      "status": "clarified_in_translation",
      "target_correction": "The target calls it a local balance law and states that strict conservation requires the net source to vanish.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0091",
      "rationale": "The integration variables uniquely determine the omitted vector definition.",
      "severity": "P2",
      "source_location": "record 196, heat-kernel solution",
      "source_text": "The vector mu appears in the Green-function formula without definition.",
      "status": "clarified_in_translation",
      "target_correction": "The target defines vector mu=(xi,zeta,eta) before its squared-distance formula.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0092",
      "rationale": "Conditional expectation supplies the required justification while preserving the mean-square-displacement result.",
      "severity": "P1",
      "source_location": "record 196, random-walk induction",
      "source_text": "The zero cross term treats the random position r_n as if it were fixed and does not state independence of the next step.",
      "status": "corrected_in_translation",
      "target_correction": "The target conditions on the current position, invokes independence of the next uniformly distributed direction, and then applies total expectation.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0093",
      "rationale": "Pixel inspection and the chapter's equation and caption establish the two mismatches.",
      "severity": "P2",
      "source_location": "record 196, Figure 9.1 prose and description",
      "source_text": "The prose says one particle is blue, but the frozen scatter panel contains red particle marks only; its graph title also says square of average distance rather than mean squared distance.",
      "status": "corrected_accessibility_description",
      "target_correction": "The target describes the visible red marks and identifies the plotted statistic as mean squared distance while retaining the frozen raster.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0094",
      "rationale": "The notation is reader-facing and native-size display avoids preventable resampling blur.",
      "severity": "P3",
      "source_location": "record 196, Figure 9.1 caption",
      "source_text": "The caption uses deprecated U+2329/U+232A angle brackets and enlarges a 300 by 261 source raster to 400 by 349.",
      "status": "accessibilized_in_translation",
      "target_correction": "The target uses modern mathematical angle brackets and displays the raster at its native 300 by 261 pixels.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0095",
      "rationale": "The DOI record and article pagination establish 355–369; the duplicated words do not alter the warning's intended meaning.",
      "severity": "P2",
      "source_location": "record 196, Fisher citation and publisher statement",
      "source_text": "The Fisher page range is printed as 255-369 and the quoted publisher statement contains a duplicated grammatical fragment.",
      "status": "corrected_bibliography_in_translation",
      "target_correction": "The target gives Annals of Eugenics 7, 355–369 and renders the statement coherently in Indonesian.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0096",
      "rationale": "The model and transformed PDE are explicitly one-dimensional.",
      "severity": "P1",
      "source_location": "record 196, Fisher-KPP nondimensionalization",
      "source_text": "The one-dimensional scaling introduces an unused y=Y sqrt(r/D).",
      "status": "corrected_in_translation",
      "target_correction": "The target removes the extraneous y scaling and retains n, x, and tau.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0097",
      "rationale": "The preceding nondimensionalization and Equation 9.8 use tau.",
      "severity": "P1",
      "source_location": "record 196, traveling-wave substitution",
      "source_text": "After defining dimensionless time tau, the substitution and time derivative revert to t without declaring a rename.",
      "status": "corrected_in_translation",
      "target_correction": "The target consistently uses n(x,tau), xi=x-c tau, and partial n/partial tau.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0098",
      "rationale": "A heteroclinic connection is a global property not implied by the eigenvalue types alone.",
      "severity": "P1",
      "source_location": "record 196, heteroclinic-existence claim",
      "source_text": "Local saddle and node-or-spiral classifications are presented as proof of a global connecting trajectory for every positive c.",
      "status": "corrected_in_translation",
      "target_correction": "The target states that local classification alone is insufficient and makes the physical front depend on the global unstable-manifold branch.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0099",
      "rationale": "The Fisher-KPP threshold is c at least 2; asymptotic speed selection depends on the leading-edge decay of the initial data.",
      "severity": "P1",
      "source_location": "record 196, Fisher-KPP admissible and selected speeds",
      "source_text": "The text excludes the critical speed c=2 and says one front is selected without an initial-data hypothesis.",
      "status": "corrected_in_translation",
      "target_correction": "The target includes the degenerate critical front at c=2 and states the steep/compact-support versus shallow-tail selection qualification.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0100",
      "rationale": "Balanced nesting is required for deterministic accessible HTML conversion.",
      "severity": "P2",
      "source_location": "record 196, review footnote markup",
      "source_text": "A span begins outside footnote 3 and closes inside it, producing crossed markup and an orphaned span in rendered HTML.",
      "status": "corrected_markup_in_translation",
      "target_correction": "The target closes each styled span within the footnote boundary before resuming the surrounding sentence.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0101",
      "rationale": "The density-weighted Keller-Segel flux vanishes with b and is dimensionally consistent with bacterial transport.",
      "severity": "P1",
      "source_location": "record 196, Problem 3 bacterial flux",
      "source_text": "The printed chemotactic term chi grad(n) permits nonzero bacterial flux where bacterial density b is zero.",
      "status": "corrected_in_translation",
      "target_correction": "The target uses chi b grad(n)-D grad(b).",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0102",
      "rationale": "Without those distinctions, 'how far' is ambiguous between expectation, absolute distance, and standard deviation.",
      "severity": "P2",
      "source_location": "record 196, Problem 5",
      "source_text": "The prompt omits a step length and does not distinguish mean signed displacement from typical spread.",
      "status": "clarified_in_translation",
      "target_correction": "The target declares unit steps and separately asks for N(2p-1) and the fluctuation scale about that mean.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0103",
      "rationale": "These are unambiguous agreement, duplication, or word-choice errors and do not change mathematical content.",
      "severity": "P3",
      "source_location": "record 196, definite copy errors",
      "source_text": "The source contains 'n point outwards', 'me make', 'regions regions', 'of equivalently', 'particle are', 'particles star', 'are are', and 'diffusion describe'.",
      "status": "corrected_typography_in_translation",
      "target_correction": "The target supplies grammatically correct Indonesian at all eight locations.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0104",
      "rationale": "The open companion restores reproducible computation without importing or imitating proprietary source code.",
      "severity": "P2",
      "source_location": "record 196, MATLAB and PPLANE surfaces",
      "source_text": "The chapter refers to an unavailable MATLAB diffusion GUI and two PPLANE plots but freezes no executable code, seed, initial conditions, or numerical settings.",
      "status": "resolved_by_open_reimplementation",
      "target_correction": "The edition adds one independently authored deterministic NumPy/SciPy/Matplotlib companion for the random walk and Fisher-KPP phase-plane investigations.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0105",
      "rationale": "The statement is modern publisher context reproduced by the living chapter author, not language attributable to Fisher.",
      "severity": "P2",
      "source_location": "record 196, Fisher publisher-statement attribution",
      "source_text": "The phrase 'with which this author agrees' follows a Fisher citation and can be misread as attributing the modern publisher statement to Fisher.",
      "status": "clarified_in_translation",
      "target_correction": "The target explicitly identifies the agreeing party as the author of this chapter.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0106",
      "rationale": "Descriptive link text makes the citation destination intelligible to screen-reader and keyboard users.",
      "severity": "P2",
      "source_location": "record 196, Müller bibliography link text",
      "source_text": "The DOI anchor covers only the word 'The' in the cited article title.",
      "status": "accessibilized_in_translation",
      "target_correction": "The target places the complete article title inside the unchanged DOI anchor.",
      "unit_id": "O005-LEGA-V101-CH09"
    },
    {
      "correction_id": "O005-CORR-0107",
      "rationale": "The extra e is a definite transcription error and the displayed equality requires the real part.",
      "severity": "P1",
      "source_location": "record 194, growth-rate formula",
      "source_text": "The real-part operator is printed as Re e(lambda_k).",
      "status": "corrected_in_translation",
      "target_correction": "The target uses operatorname{Re}(lambda_k).",
      "unit_id": "O005-LEGA-V101-CH10"
    },
    {
      "correction_id": "O005-CORR-0108",
      "rationale": "The equation and exponential are explicitly two-dimensional.",
      "severity": "P1",
      "source_location": "record 194, Problems 1-3 plane-wave ansatz",
      "source_text": "The dependent variable is written psi(x,t) although every ansatz also contains p y.",
      "status": "corrected_in_translation",
      "target_correction": "The three target ansatzes use psi(x,y,t).",
      "unit_id": "O005-LEGA-V101-CH10"
    },
    {
      "correction_id": "O005-CORR-0109",
      "rationale": "For allowed parameter values some purely oscillatory modes do not exist; the general ansatz is not solved unless lambda is determined.",
      "severity": "P1",
      "source_location": "record 194, Problems 1-3 requested outputs",
      "source_text": "Problems 1 and 2 omit existence conditions and Problem 3 asks for omega q and p but not the displayed growth exponent lambda.",
      "status": "clarified_in_translation",
      "target_correction": "The target asks for the existence conditions in Problems 1 and 2 and includes lambda among the outputs in Problem 3.",
      "unit_id": "O005-LEGA-V101-CH10"
    },
    {
      "correction_id": "O005-CORR-0110",
      "rationale": "It is an unambiguous markup typo outside a TeX shortcode.",
      "severity": "P3",
      "source_location": "record 194, Figure 10.3 caption",
      "source_text": "The prose caption ends Omega greater than 0 with an unmatched dollar sign.",
      "status": "corrected_typography_in_translation",
      "target_correction": "The target removes the stray dollar sign.",
      "unit_id": "O005-LEGA-V101-CH10"
    },
    {
      "correction_id": "O005-CORR-0111",
      "rationale": "The imaginary-part parameters determine whether the resulting coefficients are real or complex.",
      "severity": "P2",
      "source_location": "record 194, Figure 10.2 introduction",
      "source_text": "The prose says the model parameters may be real or complex although the next sentence declares all parameters real.",
      "status": "clarified_in_translation",
      "target_correction": "The target states that the coefficients may be real or complex.",
      "unit_id": "O005-LEGA-V101-CH10"
    },
    {
      "correction_id": "O005-CORR-0112",
      "rationale": "A time derivative requires a time-dependent amplitude; the eigenfunction statement yields the same dispersion relation without that missing dependence.",
      "severity": "P2",
      "source_location": "record 194, Fourier-mode derivation",
      "source_text": "A time-independent Fourier mode is said to have time derivative lambda_k u_k.",
      "status": "clarified_in_translation",
      "target_correction": "The target states that the spatial Fourier mode is an eigenfunction of the linear operator with eigenvalue lambda_k.",
      "unit_id": "O005-LEGA-V101-CH10"
    },
    {
      "correction_id": "O005-CORR-0113",
      "rationale": "This is an unambiguous number-agreement error.",
      "severity": "P3",
      "source_location": "record 194, Figure 10.2 long description",
      "source_text": "The source reads 'Defect of the hexagonal pattern take'.",
      "status": "corrected_typography_in_translation",
      "target_correction": "The target supplies grammatical plural agreement in Indonesian.",
      "unit_id": "O005-LEGA-V101-CH10"
    },
    {
      "correction_id": "O005-CORR-0114",
      "rationale": "The semantic reference remains correct if footnotes are renumbered and is intelligible without a fragile counter.",
      "severity": "P2",
      "source_location": "record 194, nonlinear-theory footnote",
      "source_text": "The footnote hard-codes 'Footnote #7' without a semantic target.",
      "status": "accessibilized_in_translation",
      "target_correction": "The target refers to the two review articles cited above.",
      "unit_id": "O005-LEGA-V101-CH10"
    },
    {
      "correction_id": "O005-CORR-0115",
      "rationale": "Descriptive link text exposes the destination to assistive technology.",
      "severity": "P2",
      "source_location": "record 194, laser-equation bibliography link",
      "source_text": "The DOI anchor covers only 'Swift-Hohenberg' inside the longer article title.",
      "status": "accessibilized_in_translation",
      "target_correction": "The target places the complete article title inside the unchanged DOI anchor.",
      "unit_id": "O005-LEGA-V101-CH10"
    },
    {
      "correction_id": "O005-CORR-0116",
      "rationale": "This avoids blur and an unresolved component-rights dependency without copying source pixels.",
      "severity": "P2",
      "source_location": "record 194, three source figures",
      "source_text": "All three figures are displayed above intrinsic resolution and Figure 10.1 is a mixed-photo collage without component-level credit in the record.",
      "status": "resolved_by_asset_adaptation",
      "target_correction": "The reader displays Figures 10.2 and 10.3 at intrinsic size and replaces Figure 10.1 with a separately provenanced independent accessible SVG while retaining the exact source witness.",
      "unit_id": "O005-LEGA-V101-CH10"
    },
    {
      "correction_id": "O005-CORR-0117",
      "rationale": "The open companion restores reproducible computation without importing or imitating unavailable MATLAB code.",
      "severity": "P2",
      "source_location": "record 194, MATLAB Patterns surface",
      "source_text": "The proprietary GUI is named but no URL code binary data parameters grid timestep or seed is supplied.",
      "status": "resolved_by_open_reimplementation",
      "target_correction": "The edition adds one independently authored deterministic NumPy/SciPy/Matplotlib companion for growth rates spectral pattern formation and Klausmeier checks.",
      "unit_id": "O005-LEGA-V101-CH10"
    },
    {
      "correction_id": "O005-CORR-0118",
      "rationale": "Closure alone does not supply the field operations and axioms for an arbitrary set; nonemptiness plus inherited operations is required for the subspace test.",
      "severity": "P1",
      "source_location": "record 410, vector-space criterion",
      "source_text": "The source calls an unspecified set a vector space if and only if it is closed under addition and scalar multiplication.",
      "status": "corrected_in_translation",
      "target_correction": "The target states the valid subspace criterion for a nonempty subset of an ambient real or complex vector space.",
      "unit_id": "O005-LEGA-V101-CH11"
    },
    {
      "correction_id": "O005-CORR-0119",
      "rationale": "The revised notation states the definition of linear independence unambiguously without changing its content.",
      "severity": "P2",
      "source_location": "record 410, independent-vector notation",
      "source_text": "The set is written with plain S and the coefficient quantifier is malformed as a subset relation.",
      "status": "corrected_in_translation",
      "target_correction": "The target uses mathematical S consistently and quantifies alpha_1 through alpha_n over the relevant scalar field.",
      "unit_id": "O005-LEGA-V101-CH11"
    },
    {
      "correction_id": "O005-CORR-0120",
      "rationale": "Reader-facing mathematical text should be natural Indonesian while symbols and meaning remain unchanged.",
      "severity": "P3",
      "source_location": "record 410, embedded English in formulas",
      "source_text": "The TeX contains resp. or where and English ordinal suffixes inside Indonesian mathematical prose.",
      "status": "localized_in_translation",
      "target_correction": "The target localizes formula text to atau and dengan and removes the redundant th suffixes after Indonesian ke-.",
      "unit_id": "O005-LEGA-V101-CH11"
    },
    {
      "correction_id": "O005-CORR-0121",
      "rationale": "An n-dimensional complex vector space is isomorphic to complex n-space rather than real n-space as a vector space over the stated field.",
      "severity": "P1",
      "source_location": "record 410, finite-dimensional isomorphism",
      "source_text": "The source says every n-dimensional vector space is isomorphic to real n-space without specifying the scalar field.",
      "status": "corrected_in_translation",
      "target_correction": "The target restricts the statement to real vector spaces.",
      "unit_id": "O005-LEGA-V101-CH11"
    },
    {
      "correction_id": "O005-CORR-0122",
      "rationale": "The corrected notation states the entrywise definition of transpose.",
      "severity": "P2",
      "source_location": "record 410, transpose entry notation",
      "source_text": "The source writes (A^T_ij)=(A_ji), which ambiguously puts the indices inside the superscripted matrix symbol and wraps scalar entries as matrices.",
      "status": "corrected_in_translation",
      "target_correction": "The target writes (A^T)_ij=A_ji.",
      "unit_id": "O005-LEGA-V101-CH11"
    },
    {
      "correction_id": "O005-CORR-0123",
      "rationale": "Laplace expansion fixes an index and sums over the complementary index; i is an index, not a row object.",
      "severity": "P2",
      "source_location": "record 410, cofactor expansion",
      "source_text": "The source says i is one row of A.",
      "status": "clarified_in_translation",
      "target_correction": "The target says i is a fixed row index of A.",
      "unit_id": "O005-LEGA-V101-CH11"
    },
    {
      "correction_id": "O005-CORR-0124",
      "rationale": "Unique solvability for one particular b is not equivalent to invertibility; the assertion requires every b.",
      "severity": "P1",
      "source_location": "record 410, invertibility equivalence",
      "source_text": "The equivalence list says AX=b has exactly one solution without quantifying b and changes the unknown from lowercase x used immediately above.",
      "status": "corrected_in_translation",
      "target_correction": "The target states that Ax=b has exactly one solution for every right-hand side.",
      "unit_id": "O005-LEGA-V101-CH11"
    },
    {
      "correction_id": "O005-CORR-0125",
      "rationale": "A real matrix can have nonreal eigenpairs only after extending scalars to the complex numbers.",
      "severity": "P1",
      "source_location": "record 410, complex eigenpairs",
      "source_text": "A is declared real while eigenvalues may be nonreal but the scalar extension for the eigenvectors is left unstated.",
      "status": "clarified_in_translation",
      "target_correction": "The target explicitly says the vector space is complexified when a nonreal eigenvalue is considered.",
      "unit_id": "O005-LEGA-V101-CH11"
    },
    {
      "correction_id": "O005-CORR-0126",
      "rationale": "This is the standard exact-rank definition and includes ordinary eigenvectors as rank-one generalized eigenvectors.",
      "severity": "P1",
      "source_location": "record 410, generalized-eigenvector definition",
      "source_text": "The source requires m not equal to 1 and only (A-aI)f nonzero, which excludes ordinary eigenvectors and does not define the exact rank of a Jordan chain.",
      "status": "corrected_in_translation",
      "target_correction": "The target permits positive m and requires (A-aI)^(m-1)f nonzero together with (A-aI)^m f=0.",
      "unit_id": "O005-LEGA-V101-CH11"
    },
    {
      "correction_id": "O005-CORR-0127",
      "rationale": "The subscript preserves the declared matrix dimension and removes a harmless but definite notation inconsistency.",
      "severity": "P3",
      "source_location": "record 410, identity-matrix notation",
      "source_text": "Equation (A1.2) uses I after the preceding sentence defines I_n.",
      "status": "corrected_in_translation",
      "target_correction": "The target uses I_n in (A1.2).",
      "unit_id": "O005-LEGA-V101-CH11"
    },
    {
      "correction_id": "O005-CORR-0128",
      "rationale": "Without multiplicity the three standard identities are incomplete for repeated eigenvalues.",
      "severity": "P1",
      "source_location": "record 410, eigenvalue counting",
      "source_text": "The source states the root count trace sum and determinant product without saying repeated eigenvalues are counted with algebraic multiplicity.",
      "status": "clarified_in_translation",
      "target_correction": "The target adds the algebraic-multiplicity qualification to all three statements.",
      "unit_id": "O005-LEGA-V101-CH11"
    },
    {
      "correction_id": "O005-CORR-0129",
      "rationale": "Eigenvectors alone omit zero and are not a subspace; a defective matrix does not have a basis of ordinary eigenvectors.",
      "severity": "P1",
      "source_location": "record 410, eigenspaces and decomposition",
      "source_text": "The source says eigenvectors form a subspace and every vector space is the sum of ordinary eigenspaces.",
      "status": "corrected_in_translation",
      "target_correction": "The target distinguishes the eigenspace including zero from its nonzero eigenvectors and restricts direct-sum decomposition into ordinary eigenspaces to diagonalizable matrices while noting the general alternatives.",
      "unit_id": "O005-LEGA-V101-CH11"
    },
    {
      "correction_id": "O005-CORR-0130",
      "rationale": "The source environment specification conflicts with the displayed column-vector entries and can produce excess spacing or malformed rendering.",
      "severity": "P2",
      "source_location": "record 410, Problem 7 vector arrays",
      "source_text": "Each four-entry column vector is declared with an array of four columns.",
      "status": "corrected_markup_in_translation",
      "target_correction": "The target declares all five vectors with one-column arrays.",
      "unit_id": "O005-LEGA-V101-CH11"
    },
    {
      "correction_id": "O005-CORR-0131",
      "rationale": "At a critical point the gradient has no direction and the corresponding level set need not be a regular surface.",
      "severity": "P1",
      "source_location": "record 413, gradient properties",
      "source_text": "The source states a unique fastest-increase direction and normal-to-level-surface property without excluding critical points.",
      "status": "corrected_in_translation",
      "target_correction": "The target restricts those direction and regular-level-surface statements to points where the gradient is nonzero and identifies the maximum over unit directions.",
      "unit_id": "O005-LEGA-V101-CH12"
    },
    {
      "correction_id": "O005-CORR-0132",
      "rationale": "A regular set g(x,y,z)=C is generally a surface and the multiplier condition requires a nonzero constraint gradient.",
      "severity": "P1",
      "source_location": "record 413, Lagrange-multiplier criterion",
      "source_text": "The source calls the one-equation constraint in three variables a curve and omits the regularity and local-necessity qualifications.",
      "status": "corrected_in_translation",
      "target_correction": "The target states the necessary parallel-gradient condition for a local extremum at a regular point of the constraint surface.",
      "unit_id": "O005-LEGA-V101-CH12"
    },
    {
      "correction_id": "O005-CORR-0133",
      "rationale": "Kinetic energy is one half m times speed squared; a bare vector square is undefined in this context.",
      "severity": "P2",
      "source_location": "record 413, work-energy formula",
      "source_text": "The source squares the vector derivative dr/dt without a norm and introduces v without identifying it as speed.",
      "status": "corrected_in_translation",
      "target_correction": "The target uses the squared Euclidean norm of dr/dt and identifies v as the speed.",
      "unit_id": "O005-LEGA-V101-CH12"
    },
    {
      "correction_id": "O005-CORR-0134",
      "rationale": "The force is the gradient of a potential on position space; the unannounced scalar argument is inconsistent.",
      "severity": "P2",
      "source_location": "record 413, potential-function argument",
      "source_text": "The source writes V(r) but subsequently evaluates V at the vector r without defining scalar r as a radial coordinate.",
      "status": "corrected_in_translation",
      "target_correction": "The target writes V(vector r) consistently.",
      "unit_id": "O005-LEGA-V101-CH12"
    },
    {
      "correction_id": "O005-CORR-0135",
      "rationale": "The source wording is nonstandard and can miss loop obstructions to a global potential.",
      "severity": "P1",
      "source_location": "record 413, curl-test topology",
      "source_text": "The source invokes a domain with no codimension-one holes as the sufficient topological hypothesis.",
      "status": "corrected_in_translation",
      "target_correction": "The target uses the standard sufficient condition of an open simply connected domain.",
      "unit_id": "O005-LEGA-V101-CH12"
    },
    {
      "correction_id": "O005-CORR-0136",
      "rationale": "The displayed vector (-f_x,-f_y,1) is the upward-oriented area vector for the named graph.",
      "severity": "P1",
      "source_location": "record 413, flux through a graph",
      "source_text": "The source names the graph z=f(x,y) but evaluates F at an undefined z(x,y) and does not state the orientation represented by the displayed normal.",
      "status": "corrected_in_translation",
      "target_correction": "The target evaluates F at (x,y,f(x,y)) and states that the formula uses the upward orientation.",
      "unit_id": "O005-LEGA-V101-CH12"
    },
    {
      "correction_id": "O005-CORR-0137",
      "rationale": "A local limit needs an explicit family of regions shrinking to the evaluation point.",
      "severity": "P1",
      "source_location": "record 413, local definition of divergence",
      "source_text": "The source writes the undefined limit W to 0 and divides by a prose volume expression.",
      "status": "corrected_in_translation",
      "target_correction": "The target gives the flux-per-volume limit over shrinking balls centered at P.",
      "unit_id": "O005-LEGA-V101-CH12"
    },
    {
      "correction_id": "O005-CORR-0138",
      "rationale": "Closed is not the relevant domain property and no holes is not a precise cohomological condition; star-shaped is a clear sufficient hypothesis.",
      "severity": "P1",
      "source_location": "record 413, divergence-test topology",
      "source_text": "The source says the domain is closed and has no holes as a sufficient hypothesis for a vector potential.",
      "status": "corrected_in_translation",
      "target_correction": "The target states the sound sufficient condition of an open star-shaped domain.",
      "unit_id": "O005-LEGA-V101-CH12"
    },
    {
      "correction_id": "O005-CORR-0139",
      "rationale": "The zero vector has no direction; the norm is the maximum projection over unit vectors.",
      "severity": "P1",
      "source_location": "record 413, curl direction and maximum circulation density",
      "source_text": "The source assigns a direction to curl at every point and refers to that direction when describing its magnitude.",
      "status": "corrected_in_translation",
      "target_correction": "The target restricts the directional statement to nonzero curl and identifies its magnitude as the maximum circulation density over unit directions.",
      "unit_id": "O005-LEGA-V101-CH12"
    },
    {
      "correction_id": "O005-CORR-0140",
      "rationale": "The standard line-integral form of Green's theorem requires a sufficiently regular boundary such as a piecewise-smooth simple closed curve.",
      "severity": "P1",
      "source_location": "record 413, Green theorem boundary regularity",
      "source_text": "The source specifies a simple closed curve but omits a boundary-regularity hypothesis.",
      "status": "clarified_in_translation",
      "target_correction": "The target requires the simple closed curve to be piecewise smooth while preserving the positive-orientation and domain hypotheses.",
      "unit_id": "O005-LEGA-V101-CH12"
    },
    {
      "correction_id": "O005-CORR-0141",
      "rationale": "A first-order state reduction must contain the successive derivatives y, y', y'', and so on; d^2y/dx is not the second derivative.",
      "severity": "P1",
      "source_location": "record 445, lines 19-21, first-order state-vector reduction",
      "source_text": "The displayed state vector writes its third entry as d^2y/dx instead of d^2y/dx^2.",
      "status": "corrected_in_translation",
      "target_correction": "The target writes the third entry as d^2y/dx^2 while retaining the ordered reduction through d^(n-1)y/dx^(n-1).",
      "unit_id": "O005-LEGA-V101-CH13"
    },
    {
      "correction_id": "O005-CORR-0142",
      "rationale": "Projected trajectories of a nonautonomous system can pass through the same state at different values of x; uniqueness applies at a common x, or equivalently in the extended (x,Y) space.",
      "severity": "P1",
      "source_location": "record 445, line 31, no-crossing consequence",
      "source_text": "The source says trajectories in phase space cannot cross for the generally nonautonomous system dY/dx=f(x,Y), without qualification.",
      "status": "clarified_in_translation",
      "target_correction": "The target states that uniqueness forbids two solution graphs from meeting at the same independent-variable value and reserves unqualified no-crossing in state space for autonomous systems.",
      "unit_id": "O005-LEGA-V101-CH13"
    },
    {
      "correction_id": "O005-CORR-0143",
      "rationale": "Exactness requires rho'/rho=(M_y-N_x)/N for an x-only factor and rho'/rho=(N_x-M_y)/M for a y-only factor; the ratio itself is not generally the integrating factor.",
      "severity": "P1",
      "source_location": "record 445, lines 58-65, integrating-factor tests",
      "source_text": "The two one-variable tests say to use rho=f(x) or rho=f(y), rather than integrating the stated logarithmic derivatives of rho.",
      "status": "corrected_in_translation",
      "target_correction": "The target gives rho(x)=exp(integral[(M_y-N_x)/N] dx) and rho(y)=exp(integral[(N_x-M_y)/M] dy), up to nonzero constant factors.",
      "unit_id": "O005-LEGA-V101-CH13"
    },
    {
      "correction_id": "O005-CORR-0144",
      "rationale": "The substitutions divide by v(v+1), use y^(1-n), set w=1/(y-y_1), or divide by the reduced derivative; zero factors must be checked separately and each listed branch satisfies its source equation.",
      "severity": "P1",
      "source_location": "record 445, lines 44-47, 82-99, and 109-114, four exceptional solution families",
      "source_text": "Four displayed general-solution procedures omit branches discarded by division or reciprocal substitutions: y=-x in the homogeneous first-order example, y=0 in the Bernoulli example, y=x in the Riccati example, and the constant family y=C in the second-order example without y.",
      "status": "corrected_in_translation",
      "target_correction": "The target lists each exceptional family alongside the corresponding parameterized family and avoids calling an incomplete family the entire general solution.",
      "unit_id": "O005-LEGA-V101-CH13"
    },
    {
      "correction_id": "O005-CORR-0145",
      "rationale": "Initial data are values at the stated initial time t_0, not identities over the whole interval.",
      "severity": "P1",
      "source_location": "record 445, line 307, linear-system initial data",
      "source_text": "The existence statement introduces t_0 but prescribes x_i(t)=alpha_i, which would constrain each component for every t.",
      "status": "corrected_in_translation",
      "target_correction": "The target prescribes x_i(t_0)=alpha_i for i=1,...,n.",
      "unit_id": "O005-LEGA-V101-CH13"
    },
    {
      "correction_id": "O005-CORR-0146",
      "rationale": "A homogeneous mode is exp(lambda t)xi; omitting t gives no time-dependent solution, while the split operator names are malformed notation.",
      "severity": "P1",
      "source_location": "record 445, lines 337-338 and 346, complex linear-system modes",
      "source_text": "The real-mode formulas omit t from exp(alpha+i beta), and the source uses broken Re e and Im m operator spellings both there and in the superposition note.",
      "status": "corrected_in_translation",
      "target_correction": "The target uses Re[exp((alpha+i beta)t) xi] and Im[exp((alpha+i beta)t) xi], with correctly formed real- and imaginary-part operators throughout.",
      "unit_id": "O005-LEGA-V101-CH13"
    },
    {
      "correction_id": "O005-CORR-0147",
      "rationale": "Using Y keeps the vector-field argument consistent with dY/dt=F(Y) and avoids confusing the perturbation X with the original state.",
      "severity": "P2",
      "source_location": "record 445, line 365, phase-plane notation",
      "source_text": "The notation display defines the vector field components with F(X) even though the state vector in that display and Equation 13.4 is Y.",
      "status": "corrected_in_translation",
      "target_correction": "The target writes F(Y)=(F_1(x,y),F_2(x,y))^T.",
      "unit_id": "O005-LEGA-V101-CH13"
    },
    {
      "correction_id": "O005-CORR-0148",
      "rationale": "Nonzero imaginary parts determine rotation, not stability; the sign of the common real part determines decay or growth.",
      "severity": "P1",
      "source_location": "record 445, line 382, stable-spiral classification",
      "source_text": "The source says nonzero imaginary parts alone make the fixed point a stable spiral.",
      "status": "corrected_in_translation",
      "target_correction": "The target requires a complex-conjugate eigenvalue pair with negative real part for a stable spiral and identifies positive real part as unstable.",
      "unit_id": "O005-LEGA-V101-CH13"
    },
    {
      "correction_id": "O005-CORR-0149",
      "rationale": "For a real two-by-two matrix with determinant zero and positive trace, the eigenvalues are 0 and Tr(A), so perturbations in the positive-eigenvalue direction grow.",
      "severity": "P1",
      "source_location": "record 445, lines 384 and 388, unstable zero-determinant case",
      "source_text": "The stated instability alternatives cover det(A)<0 or det(A)>0 with positive trace but omit det(A)=0 with Tr(A)>0.",
      "status": "corrected_in_translation",
      "target_correction": "The target adds the zero-determinant positive-trace case and notes its zero and positive eigenvalues and line of fixed points in the linearized system.",
      "unit_id": "O005-LEGA-V101-CH13"
    },
    {
      "correction_id": "O005-CORR-0150",
      "rationale": "A nonzero nilpotent matrix can have two zero eigenvalues and exp(At)=I+tA, producing linear growth rather than marginal stability.",
      "severity": "P1",
      "source_location": "record 445, line 392, zero-real-part and nilpotent case",
      "source_text": "After excluding only A=0, the source says eigenvalues with zero real parts imply a purely imaginary conjugate pair and marginal stability.",
      "status": "corrected_in_translation",
      "target_correction": "The target restricts the center statement to a nonzero purely imaginary pair and separately flags the repeated-zero case, including nonzero nilpotent matrices, for further analysis.",
      "unit_id": "O005-LEGA-V101-CH13"
    },
    {
      "correction_id": "O005-CORR-0151",
      "rationale": "The requested uniqueness conclusion and its Picard-Lindelof justification are absent from the source answer.",
      "severity": "P2",
      "source_location": "record 445, lines 442-443 and 526-527, Problem 3 and source answer",
      "source_text": "Problem 3 asks whether the initial-value problem has a unique solution and why, but the source answer supplies only the implicit solution with its fitted constant.",
      "status": "clarified_in_translation",
      "target_correction": "The Indonesian edition adds that the solution is locally unique because the solved right-hand side is continuously differentiable near (0,3), away from y=-1.",
      "unit_id": "O005-LEGA-V101-CH13"
    },
    {
      "correction_id": "O005-CORR-0152",
      "rationale": "The differential equation is singular at x=0 and a classical logarithmic solution cannot be continued through that point.",
      "severity": "P2",
      "source_location": "record 445, lines 465 and 547-548, Problem 6 and source answer",
      "source_text": "The equation x y''+y'=0 and the logarithmic answer are stated without a domain restriction.",
      "status": "clarified_in_translation",
      "target_correction": "The target states that y=K_1 ln|x|+K_2 holds on any interval contained in x>0 or x<0.",
      "unit_id": "O005-LEGA-V101-CH13"
    },
    {
      "correction_id": "O005-CORR-0153",
      "rationale": "Substitution at t=0 gives x(0)=C_1-2 and y(0)=C_2-1, so the stated initial data uniquely determine both constants.",
      "severity": "P1",
      "source_location": "record 445, lines 477-478 and 559-560, Problem 8 and source answer",
      "source_text": "The problem prescribes x(0)=0 and y(0)=1, but the source answer leaves C_1 and C_2 arbitrary.",
      "status": "corrected_in_translation",
      "target_correction": "The target specializes the displayed family to C_1=2 and C_2=2, equivalently x=2e^(2t)(cos t+sin t)-2e^t and y=2e^(2t)(cos t-sin t)-e^t.",
      "unit_id": "O005-LEGA-V101-CH13"
    },
    {
      "correction_id": "O005-CORR-0154",
      "rationale": "The English sentence omits the preposition of.",
      "severity": "P3",
      "source_location": "record 555, Project 1 expectation 2",
      "source_text": "Develop a code to reproduce the authors' results on the performance of each approach as a function group size.",
      "status": "corrected_in_translation",
      "target_correction": "The target states that performance is studied as a function of group size.",
      "unit_id": "O005-LEGA-V101-CH14"
    },
    {
      "correction_id": "O005-CORR-0155",
      "rationale": "The English sentence omits the article the.",
      "severity": "P3",
      "source_location": "record 555, Project 4 final expectation",
      "source_text": "Synthesize the modeling approach and evaluate the contributions of model.",
      "status": "corrected_in_translation",
      "target_correction": "The target evaluates the contributions of the model.",
      "unit_id": "O005-LEGA-V101-CH14"
    },
    {
      "correction_id": "O005-CORR-0156",
      "rationale": "The conjunction and is a typographical error before agent-based models.",
      "severity": "P3",
      "source_location": "record 555, Project 6 textbox",
      "source_text": "Develop and agent-based models to explain how visual cues can lead to the emergence of collective behaviors in crowds.",
      "status": "corrected_in_translation",
      "target_correction": "The target says to develop agent-based models.",
      "unit_id": "O005-LEGA-V101-CH14"
    },
    {
      "correction_id": "O005-CORR-0157",
      "rationale": "The English sentence omits the preposition in.",
      "severity": "P3",
      "source_location": "record 555, Project 8 context-article description",
      "source_text": "The context article describes recent experimental results on the persistence of cyclic dynamics a predator-prey system.",
      "status": "corrected_in_translation",
      "target_correction": "The target describes cyclic dynamics in a predator-prey system.",
      "unit_id": "O005-LEGA-V101-CH14"
    },
    {
      "correction_id": "O005-CORR-0158",
      "rationale": "The same project information identifies Two-Species Models as Chapter 6, while canonical Chapter 7 is Epidemiology; the predator-prey discussion is in Chapter 6.",
      "severity": "P2",
      "source_location": "record 555, Project 8 expectation 5",
      "source_text": "Compare the results to the discussion in Chapter 7 of this text.",
      "status": "corrected_in_translation",
      "target_correction": "The target cross-references Chapter 6, Two-Species Models.",
      "unit_id": "O005-LEGA-V101-CH14"
    },
    {
      "correction_id": "O005-CORR-0159",
      "rationale": "The English sentence omits the article the.",
      "severity": "P3",
      "source_location": "record 555, Project 10 final expectation",
      "source_text": "Appraise the contributions of model.",
      "status": "corrected_in_translation",
      "target_correction": "The target appraises the contributions of the model.",
      "unit_id": "O005-LEGA-V101-CH14"
    },
    {
      "correction_id": "O005-CORR-0160",
      "rationale": "The four omitted classes are a presentational inconsistency rather than a semantic distinction.",
      "severity": "P3",
      "source_location": "record 555, Project 9-12 h2 attributes",
      "source_text": "Projects 1-8 use the uacm-text-center heading class, whereas Projects 9-12 omit it.",
      "status": "corrected_in_reader_presentation",
      "target_correction": "The independent reader centers all twelve peer project headings consistently.",
      "unit_id": "O005-LEGA-V101-CH14"
    }
  ],
  "course_id": "C120",
  "rights_authority": {
    "bytes": 21619,
    "path": "00_control/RIGHTS_AND_PROVENANCE.md",
    "sha256": "e60a44718b75b18a6a6fbcba1c8fa8ab6c9d9b53cb1dee65452ea4023fd8d512"
  },
  "schema": "c120-rights-and-terms/1",
  "terminology": [
    {
      "id_ID_preferred": "pemodelan matematika",
      "note": "Use for the discipline and process; independently attested as Pemodelan Matematika in arXiv:2001.05854v1 Indonesian TeX.",
      "source_term": "mathematical modeling",
      "status": "admitted",
      "term_id": "O005-TERM-0001"
    },
    {
      "id_ID_preferred": "model",
      "note": "Established Indonesian technical loanword.",
      "source_term": "model",
      "status": "admitted",
      "term_id": "O005-TERM-0002"
    },
    {
      "id_ID_preferred": "pemodel",
      "note": "Person who constructs or analyzes models.",
      "source_term": "modeler",
      "status": "admitted",
      "term_id": "O005-TERM-0003"
    },
    {
      "id_ID_preferred": "variabel terikat",
      "note": "",
      "source_term": "dependent variable",
      "status": "admitted",
      "term_id": "O005-TERM-0004"
    },
    {
      "id_ID_preferred": "variabel bebas",
      "note": "",
      "source_term": "independent variable",
      "status": "admitted",
      "term_id": "O005-TERM-0005"
    },
    {
      "id_ID_preferred": "parameter",
      "note": "",
      "source_term": "parameter",
      "status": "admitted",
      "term_id": "O005-TERM-0006"
    },
    {
      "id_ID_preferred": "siklus pemodelan",
      "note": "",
      "source_term": "modeling cycle",
      "status": "admitted",
      "term_id": "O005-TERM-0007"
    },
    {
      "id_ID_preferred": "hipotesis",
      "note": "",
      "source_term": "hypothesis",
      "status": "admitted",
      "term_id": "O005-TERM-0008"
    },
    {
      "id_ID_preferred": "validasi",
      "note": "Use carefully; distinguish validating implementation from evidential support for a model.",
      "source_term": "validation",
      "status": "admitted",
      "term_id": "O005-TERM-0009"
    },
    {
      "id_ID_preferred": "asumsi",
      "note": "Attested repeatedly in arXiv:2001.05854v1 Indonesian TeX; anggapan dasar is acceptable as a section label but not the default running-text term.",
      "source_term": "assumption",
      "status": "admitted",
      "term_id": "O005-TERM-0010"
    },
    {
      "id_ID_preferred": "prediksi",
      "note": "",
      "source_term": "prediction",
      "status": "admitted",
      "term_id": "O005-TERM-0011"
    },
    {
      "id_ID_preferred": "pencocokan kurva",
      "note": "",
      "source_term": "curve fitting",
      "status": "admitted",
      "term_id": "O005-TERM-0012"
    },
    {
      "id_ID_preferred": "kuadrat terkecil",
      "note": "",
      "source_term": "least squares",
      "status": "admitted",
      "term_id": "O005-TERM-0013"
    },
    {
      "id_ID_preferred": "mikroskopis",
      "note": "",
      "source_term": "microscopic",
      "status": "admitted",
      "term_id": "O005-TERM-0014"
    },
    {
      "id_ID_preferred": "makroskopis",
      "note": "",
      "source_term": "macroscopic",
      "status": "admitted",
      "term_id": "O005-TERM-0015"
    },
    {
      "id_ID_preferred": "ketahanan",
      "note": "Review in context; may use robustness in statistical bridge where precision requires.",
      "source_term": "robustness",
      "status": "provisional",
      "term_id": "O005-TERM-0016"
    },
    {
      "id_ID_preferred": "gelombang manusia",
      "note": "Introduce in the stadium context.",
      "source_term": "human wave",
      "status": "admitted",
      "term_id": "O005-TERM-0017"
    },
    {
      "id_ID_preferred": "Gelombang Meksiko (La Ola)",
      "note": "Retain the established proper name and Spanish name once.",
      "source_term": "Mexican Wave",
      "status": "admitted",
      "term_id": "O005-TERM-0018"
    },
    {
      "id_ID_preferred": "syarat batas periodik",
      "note": "",
      "source_term": "periodic boundary conditions",
      "status": "admitted",
      "term_id": "O005-TERM-0019"
    },
    {
      "id_ID_preferred": "ambang antusiasme",
      "note": "",
      "source_term": "threshold of enthusiasm",
      "status": "admitted",
      "term_id": "O005-TERM-0020"
    },
    {
      "id_ID_preferred": "tingkat antusiasme",
      "note": "",
      "source_term": "level of enthusiasm",
      "status": "admitted",
      "term_id": "O005-TERM-0021"
    },
    {
      "id_ID_preferred": "ambang aktivitas",
      "note": "",
      "source_term": "activity threshold",
      "status": "admitted",
      "term_id": "O005-TERM-0022"
    },
    {
      "id_ID_preferred": "waktu reaksi",
      "note": "",
      "source_term": "reaction time",
      "status": "admitted",
      "term_id": "O005-TERM-0023"
    },
    {
      "id_ID_preferred": "langkah waktu",
      "note": "",
      "source_term": "time step",
      "status": "admitted",
      "term_id": "O005-TERM-0024"
    },
    {
      "id_ID_preferred": "medium eksitabel",
      "note": "Gloss once as a medium that can be excited; do not use tereksitasi for the dispositional meaning.",
      "source_term": "excitable medium",
      "status": "admitted",
      "term_id": "O005-TERM-0025"
    },
    {
      "id_ID_preferred": "parameter tak berdimensi",
      "note": "",
      "source_term": "dimensionless parameter",
      "status": "admitted",
      "term_id": "O005-TERM-0026"
    },
    {
      "id_ID_preferred": "penskalaan",
      "note": "",
      "source_term": "scaling",
      "status": "admitted",
      "term_id": "O005-TERM-0027"
    },
    {
      "id_ID_preferred": "searah jarum jam",
      "note": "",
      "source_term": "clockwise",
      "status": "admitted",
      "term_id": "O005-TERM-0028"
    },
    {
      "id_ID_preferred": "gelombang padam",
      "note": "Use for loss of propagation rather than ordinary decay of a pulse.",
      "source_term": "wave dies",
      "status": "admitted",
      "term_id": "O005-TERM-0029"
    },
    {
      "id_ID_preferred": "daya tanggap",
      "note": "",
      "source_term": "responsiveness",
      "status": "admitted",
      "term_id": "O005-TERM-0030"
    },
    {
      "id_ID_preferred": "monoton",
      "note": "Use monoton naik or monoton turun when direction matters.",
      "source_term": "monotone",
      "status": "admitted",
      "term_id": "O005-TERM-0031"
    },
    {
      "id_ID_preferred": "persamaan diferensial",
      "note": "",
      "source_term": "differential equation",
      "status": "admitted",
      "term_id": "O005-TERM-0032"
    },
    {
      "id_ID_preferred": "analisis dimensi",
      "note": "Distinguish from checking the physical dimension of an individual term.",
      "source_term": "dimensional analysis",
      "status": "admitted",
      "term_id": "O005-TERM-0033"
    },
    {
      "id_ID_preferred": "bidang fase",
      "note": "",
      "source_term": "phase plane",
      "status": "admitted",
      "term_id": "O005-TERM-0034"
    },
    {
      "id_ID_preferred": "pendulum nonlinear",
      "note": "Use consistently in the part introduction and Chapter 3.",
      "source_term": "nonlinear pendulum",
      "status": "admitted",
      "term_id": "O005-TERM-0035"
    },
    {
      "id_ID_preferred": "benda tegar",
      "note": "",
      "source_term": "rigid body",
      "status": "admitted",
      "term_id": "O005-TERM-0036"
    },
    {
      "id_ID_preferred": "pemantulan batu di permukaan air",
      "note": "Use for the practice of skipping stones across a water surface.",
      "source_term": "stone-skipping",
      "status": "admitted",
      "term_id": "O005-TERM-0037"
    },
    {
      "id_ID_preferred": "massa titik",
      "note": "",
      "source_term": "point mass",
      "status": "admitted",
      "term_id": "O005-TERM-0038"
    },
    {
      "id_ID_preferred": "waktu karakteristik",
      "note": "",
      "source_term": "characteristic time",
      "status": "admitted",
      "term_id": "O005-TERM-0039"
    },
    {
      "id_ID_preferred": "osilator harmonik",
      "note": "",
      "source_term": "harmonic oscillator",
      "status": "admitted",
      "term_id": "O005-TERM-0040"
    },
    {
      "id_ID_preferred": "ruang fase",
      "note": "Distinguish the state space from the two-dimensional phase plane.",
      "source_term": "phase space",
      "status": "admitted",
      "term_id": "O005-TERM-0041"
    },
    {
      "id_ID_preferred": "potret fase",
      "note": "Distinguish the plotted family of trajectories from the phase plane itself.",
      "source_term": "phase portrait",
      "status": "admitted",
      "term_id": "O005-TERM-0042"
    },
    {
      "id_ID_preferred": "medan arah",
      "note": "",
      "source_term": "direction field",
      "status": "admitted",
      "term_id": "O005-TERM-0043"
    },
    {
      "id_ID_preferred": "titik tetap",
      "note": "",
      "source_term": "fixed point",
      "status": "admitted",
      "term_id": "O005-TERM-0044"
    },
    {
      "id_ID_preferred": "titik pelana",
      "note": "",
      "source_term": "saddle point",
      "status": "admitted",
      "term_id": "O005-TERM-0045"
    },
    {
      "id_ID_preferred": "linearisasi",
      "note": "Attested as proses linearisasi in arXiv:2001.05854v1 Indonesian TeX.",
      "source_term": "linearization",
      "status": "admitted",
      "term_id": "O005-TERM-0046"
    },
    {
      "id_ID_preferred": "matriks Jacobi",
      "note": "Use matriks Jacobi in reader-facing prose; lowercase jacobian may remain only as a code identifier.",
      "source_term": "Jacobian matrix",
      "status": "admitted",
      "term_id": "O005-TERM-0047"
    },
    {
      "id_ID_preferred": "separatriks",
      "note": "",
      "source_term": "separatrix",
      "status": "admitted",
      "term_id": "O005-TERM-0048"
    },
    {
      "id_ID_preferred": "manifold stabil",
      "note": "",
      "source_term": "stable manifold",
      "status": "admitted",
      "term_id": "O005-TERM-0049"
    },
    {
      "id_ID_preferred": "manifold tak stabil",
      "note": "",
      "source_term": "unstable manifold",
      "status": "admitted",
      "term_id": "O005-TERM-0050"
    },
    {
      "id_ID_preferred": "orbit heteroklinik",
      "note": "",
      "source_term": "heteroclinic orbit",
      "status": "admitted",
      "term_id": "O005-TERM-0051"
    },
    {
      "id_ID_preferred": "koefisien redaman",
      "note": "",
      "source_term": "damping coefficient",
      "status": "admitted",
      "term_id": "O005-TERM-0052"
    },
    {
      "id_ID_preferred": "himpunan aras",
      "note": "",
      "source_term": "level set",
      "status": "admitted",
      "term_id": "O005-TERM-0053"
    },
    {
      "id_ID_preferred": "sistem konservatif",
      "note": "",
      "source_term": "conservative system",
      "status": "admitted",
      "term_id": "O005-TERM-0054"
    },
    {
      "id_ID_preferred": "simpul stabil",
      "note": "",
      "source_term": "stable node",
      "status": "admitted",
      "term_id": "O005-TERM-0055"
    },
    {
      "id_ID_preferred": "spiral stabil",
      "note": "",
      "source_term": "stable spiral",
      "status": "admitted",
      "term_id": "O005-TERM-0056"
    },
    {
      "id_ID_preferred": "tak berdimensi",
      "note": "",
      "source_term": "dimensionless",
      "status": "admitted",
      "term_id": "O005-TERM-0057"
    },
    {
      "id_ID_preferred": "gaya pemulih",
      "note": "",
      "source_term": "restoring force",
      "status": "admitted",
      "term_id": "O005-TERM-0058"
    },
    {
      "id_ID_preferred": "fase terbang bebas",
      "note": "Use for the ballistic interval between water contacts.",
      "source_term": "free-flight phase",
      "status": "admitted",
      "term_id": "O005-TERM-0059"
    },
    {
      "id_ID_preferred": "fase tumbukan",
      "note": "Use for the water-contact interval; do not alternate with fase benturan.",
      "source_term": "collision phase",
      "status": "admitted",
      "term_id": "O005-TERM-0060"
    },
    {
      "id_ID_preferred": "gaya angkat",
      "note": "",
      "source_term": "lift force",
      "status": "admitted",
      "term_id": "O005-TERM-0061"
    },
    {
      "id_ID_preferred": "gaya gesek",
      "note": "",
      "source_term": "friction force",
      "status": "admitted",
      "term_id": "O005-TERM-0062"
    },
    {
      "id_ID_preferred": "luas permukaan yang terendam",
      "note": "Shorten to luas terendam when the referent is already explicit.",
      "source_term": "submerged area",
      "status": "admitted",
      "term_id": "O005-TERM-0063"
    },
    {
      "id_ID_preferred": "efek giroskopik",
      "note": "",
      "source_term": "gyroscopic effect",
      "status": "admitted",
      "term_id": "O005-TERM-0064"
    },
    {
      "id_ID_preferred": "kecepatan sudut",
      "note": "Do not translate as frekuensi sudut unless the quantity is explicitly an oscillation frequency.",
      "source_term": "angular velocity",
      "status": "admitted",
      "term_id": "O005-TERM-0065"
    },
    {
      "id_ID_preferred": "momen gaya",
      "note": "Use torsi only inside direct discussion of terminology or when needed to avoid ambiguity.",
      "source_term": "torque",
      "status": "admitted",
      "term_id": "O005-TERM-0066"
    },
    {
      "id_ID_preferred": "dinamika populasi",
      "note": "",
      "source_term": "population dynamics",
      "status": "admitted",
      "term_id": "O005-TERM-0067"
    },
    {
      "id_ID_preferred": "epidemiologi",
      "note": "Use epidemi for an outbreak and epidemiologi for the field.",
      "source_term": "epidemiology",
      "status": "admitted",
      "term_id": "O005-TERM-0068"
    },
    {
      "id_ID_preferred": "persamaan beda",
      "note": "Distinguish from persamaan diferensial.",
      "source_term": "difference equation",
      "status": "admitted",
      "term_id": "O005-TERM-0069"
    },
    {
      "id_ID_preferred": "kekacauan",
      "note": "Use perilaku kacau or dinamika kacau adjectivally.",
      "source_term": "chaos",
      "status": "admitted",
      "term_id": "O005-TERM-0070"
    },
    {
      "id_ID_preferred": "dinamika osilatori",
      "note": "",
      "source_term": "oscillatory dynamics",
      "status": "admitted",
      "term_id": "O005-TERM-0071"
    },
    {
      "id_ID_preferred": "variabel perancu",
      "note": "",
      "source_term": "confounding variable",
      "status": "admitted",
      "term_id": "O005-TERM-0072"
    },
    {
      "id_ID_preferred": "model populasi satu spesies",
      "note": "Use the explicit population qualifier in titles and navigation.",
      "source_term": "single-species model",
      "status": "admitted",
      "term_id": "O005-TERM-0073"
    },
    {
      "id_ID_preferred": "laju perubahan per kapita",
      "note": "",
      "source_term": "per capita rate of change",
      "status": "admitted",
      "term_id": "O005-TERM-0074"
    },
    {
      "id_ID_preferred": "laju perubahan ternormalisasi",
      "note": "",
      "source_term": "normalized rate of change",
      "status": "admitted",
      "term_id": "O005-TERM-0075"
    },
    {
      "id_ID_preferred": "daya dukung",
      "note": "The population or environment referent should remain explicit in nearby prose.",
      "source_term": "carrying capacity",
      "status": "admitted",
      "term_id": "O005-TERM-0076"
    },
    {
      "id_ID_preferred": "persamaan beda orde pertama",
      "note": "",
      "source_term": "first-order difference equation",
      "status": "admitted",
      "term_id": "O005-TERM-0077"
    },
    {
      "id_ID_preferred": "peta logistik",
      "note": "Do not alternate with pemetaan logistik.",
      "source_term": "logistic map",
      "status": "admitted",
      "term_id": "O005-TERM-0078"
    },
    {
      "id_ID_preferred": "penggandaan periode",
      "note": "",
      "source_term": "period doubling",
      "status": "admitted",
      "term_id": "O005-TERM-0079"
    },
    {
      "id_ID_preferred": "diagram bifurkasi",
      "note": "",
      "source_term": "bifurcation diagram",
      "status": "admitted",
      "term_id": "O005-TERM-0080"
    },
    {
      "id_ID_preferred": "pendekatan kontinu",
      "note": "",
      "source_term": "continuous approximation",
      "status": "admitted",
      "term_id": "O005-TERM-0081"
    },
    {
      "id_ID_preferred": "distribusi umur",
      "note": "",
      "source_term": "age distribution",
      "status": "admitted",
      "term_id": "O005-TERM-0082"
    },
    {
      "id_ID_preferred": "matriks proyeksi kelas tahap",
      "note": "Use tipe Lefkovitch when distinguishing it from a classical Leslie matrix.",
      "source_term": "stage-class projection matrix",
      "status": "admitted",
      "term_id": "O005-TERM-0083"
    },
    {
      "id_ID_preferred": "diagram jaring laba-laba",
      "note": "",
      "source_term": "cobweb plot",
      "status": "admitted",
      "term_id": "O005-TERM-0084"
    },
    {
      "id_ID_preferred": "peta balik",
      "note": "",
      "source_term": "return map",
      "status": "admitted",
      "term_id": "O005-TERM-0085"
    },
    {
      "id_ID_preferred": "nonhiperbolik",
      "note": "",
      "source_term": "nonhyperbolic",
      "status": "admitted",
      "term_id": "O005-TERM-0086"
    },
    {
      "id_ID_preferred": "eksponen Lyapunov",
      "note": "",
      "source_term": "Lyapunov exponent",
      "status": "admitted",
      "term_id": "O005-TERM-0087"
    },
    {
      "id_ID_preferred": "model populasi dua spesies",
      "note": "Use the explicit population qualifier in titles and navigation.",
      "source_term": "two-species model",
      "status": "admitted",
      "term_id": "O005-TERM-0088"
    },
    {
      "id_ID_preferred": "sistem pemangsa–mangsa",
      "note": "Use pemangsa and mangsa consistently in natural reader prose.",
      "source_term": "predator-prey system",
      "status": "admitted",
      "term_id": "O005-TERM-0089"
    },
    {
      "id_ID_preferred": "spesies yang bersaing",
      "note": "",
      "source_term": "competing species",
      "status": "admitted",
      "term_id": "O005-TERM-0090"
    },
    {
      "id_ID_preferred": "analisis bidang fase",
      "note": "Keep consistent with phase plane = bidang fase and phase portrait = potret fase.",
      "source_term": "phase-plane analysis",
      "status": "admitted",
      "term_id": "O005-TERM-0091"
    },
    {
      "id_ID_preferred": "dirumuskan dengan baik secara biologis",
      "note": "Explain this as invariance of the nonnegative state region on first use.",
      "source_term": "biologically well-posed",
      "status": "admitted",
      "term_id": "O005-TERM-0092"
    },
    {
      "id_ID_preferred": "orbit tertutup",
      "note": "",
      "source_term": "closed orbit",
      "status": "admitted",
      "term_id": "O005-TERM-0093"
    },
    {
      "id_ID_preferred": "hidup berdampingan",
      "note": "Koeksistensi may be used only in compact technical labels or alt text.",
      "source_term": "coexistence",
      "status": "admitted",
      "term_id": "O005-TERM-0094"
    },
    {
      "id_ID_preferred": "eksklusi kompetitif",
      "note": "In natural prose also explain that one species drives the other to extinction.",
      "source_term": "competitive exclusion",
      "status": "admitted",
      "term_id": "O005-TERM-0095"
    },
    {
      "id_ID_preferred": "daerah tarikan",
      "note": "",
      "source_term": "basin of attraction",
      "status": "admitted",
      "term_id": "O005-TERM-0096"
    },
    {
      "id_ID_preferred": "stabil netral",
      "note": "Do not imply asymptotic attraction.",
      "source_term": "neutrally stable",
      "status": "admitted",
      "term_id": "O005-TERM-0097"
    },
    {
      "id_ID_preferred": "suku interaksi bilinear",
      "note": "",
      "source_term": "bilinear interaction term",
      "status": "admitted",
      "term_id": "O005-TERM-0098"
    },
    {
      "id_ID_preferred": "nutrien",
      "note": "",
      "source_term": "nutrient",
      "status": "admitted",
      "term_id": "O005-TERM-0099"
    },
    {
      "id_ID_preferred": "model kompartemen",
      "note": "Use model berkompartemen only when emphasizing the act of partitioning.",
      "source_term": "compartmental model",
      "status": "admitted",
      "term_id": "O005-TERM-0100"
    },
    {
      "id_ID_preferred": "kompartemen",
      "note": "Keep the epidemiological class letter immediately visible.",
      "source_term": "compartment",
      "status": "admitted",
      "term_id": "O005-TERM-0101"
    },
    {
      "id_ID_preferred": "beban virus",
      "note": "",
      "source_term": "viral load",
      "status": "admitted",
      "term_id": "O005-TERM-0102"
    },
    {
      "id_ID_preferred": "rentan",
      "note": "Use individu rentan for people and kompartemen rentan for S.",
      "source_term": "susceptible",
      "status": "admitted",
      "term_id": "O005-TERM-0103"
    },
    {
      "id_ID_preferred": "terpapar",
      "note": "In an SEIR model this means infected but not yet infectious when the model assumptions say so.",
      "source_term": "exposed",
      "status": "admitted",
      "term_id": "O005-TERM-0104"
    },
    {
      "id_ID_preferred": "infeksius",
      "note": "Use dapat menularkan in explanatory prose where clearer.",
      "source_term": "infectious",
      "status": "admitted",
      "term_id": "O005-TERM-0105"
    },
    {
      "id_ID_preferred": "pulih",
      "note": "Do not conflate recovery with every possible removed-state mechanism.",
      "source_term": "recovered",
      "status": "admitted",
      "term_id": "O005-TERM-0106"
    },
    {
      "id_ID_preferred": "kompartemen keluar",
      "note": "Explain whether removal means recovery isolation or death in the particular model.",
      "source_term": "removed compartment",
      "status": "admitted",
      "term_id": "O005-TERM-0107"
    },
    {
      "id_ID_preferred": "kekebalan pasif",
      "note": "",
      "source_term": "passive immunity",
      "status": "admitted",
      "term_id": "O005-TERM-0108"
    },
    {
      "id_ID_preferred": "angka reproduksi dasar",
      "note": "Retain the symbol R_0 and state the fully susceptible reference condition.",
      "source_term": "basic reproduction number",
      "status": "admitted",
      "term_id": "O005-TERM-0109"
    },
    {
      "id_ID_preferred": "bilangan kontak",
      "note": "Do not silently treat it as R_0 outside the source model assumptions.",
      "source_term": "contact number",
      "status": "admitted",
      "term_id": "O005-TERM-0110"
    },
    {
      "id_ID_preferred": "kesetimbangan bebas penyakit",
      "note": "",
      "source_term": "disease-free equilibrium",
      "status": "admitted",
      "term_id": "O005-TERM-0111"
    },
    {
      "id_ID_preferred": "kesetimbangan endemik",
      "note": "",
      "source_term": "endemic equilibrium",
      "status": "admitted",
      "term_id": "O005-TERM-0112"
    },
    {
      "id_ID_preferred": "insidensi",
      "note": "Use suku insidensi for the model flow term.",
      "source_term": "incidence",
      "status": "admitted",
      "term_id": "O005-TERM-0113"
    },
    {
      "id_ID_preferred": "wabah",
      "note": "Use epidemi for a broad population-level outbreak only where idiomatic.",
      "source_term": "outbreak",
      "status": "admitted",
      "term_id": "O005-TERM-0114"
    },
    {
      "id_ID_preferred": "kontak efektif",
      "note": "Means a contact that produces transmission under the model.",
      "source_term": "effective contact",
      "status": "admitted",
      "term_id": "O005-TERM-0115"
    },
    {
      "id_ID_preferred": "efek spasial",
      "note": "",
      "source_term": "spatial effect",
      "status": "admitted",
      "term_id": "O005-TERM-0116"
    },
    {
      "id_ID_preferred": "hukum aksi massa",
      "note": "",
      "source_term": "law of mass action",
      "status": "admitted",
      "term_id": "O005-TERM-0117"
    },
    {
      "id_ID_preferred": "persamaan laju",
      "note": "Use persamaan laju reaksi when the chemical context is not already explicit.",
      "source_term": "rate equation",
      "status": "admitted",
      "term_id": "O005-TERM-0118"
    },
    {
      "id_ID_preferred": "reaksi kimia osilatori",
      "note": "Reaksi kimia berosilasi is acceptable in explanatory prose.",
      "source_term": "oscillatory chemical reaction",
      "status": "admitted",
      "term_id": "O005-TERM-0119"
    },
    {
      "id_ID_preferred": "model lokal",
      "note": "Means spatial interactions depend on local state rather than a spatial average.",
      "source_term": "local model",
      "status": "admitted",
      "term_id": "O005-TERM-0120"
    },
    {
      "id_ID_preferred": "difusi",
      "note": "",
      "source_term": "diffusion",
      "status": "admitted",
      "term_id": "O005-TERM-0121"
    },
    {
      "id_ID_preferred": "persamaan reaksi-difusi",
      "note": "",
      "source_term": "reaction-diffusion equation",
      "status": "admitted",
      "term_id": "O005-TERM-0122"
    },
    {
      "id_ID_preferred": "persamaan diferensial parsial",
      "note": "Exact field form attested in arXiv:2001.05854v1 Indonesian TeX.",
      "source_term": "partial differential equation",
      "status": "admitted",
      "term_id": "O005-TERM-0123"
    },
    {
      "id_ID_preferred": "suku transpor",
      "note": "",
      "source_term": "transport term",
      "status": "admitted",
      "term_id": "O005-TERM-0124"
    },
    {
      "id_ID_preferred": "reaksi kimia pada permukaan",
      "note": "",
      "source_term": "surface chemical reaction",
      "status": "admitted",
      "term_id": "O005-TERM-0125"
    },
    {
      "id_ID_preferred": "gelombang kimia",
      "note": "",
      "source_term": "chemical wave",
      "status": "admitted",
      "term_id": "O005-TERM-0126"
    },
    {
      "id_ID_preferred": "pembentukan pola",
      "note": "",
      "source_term": "pattern formation",
      "status": "admitted",
      "term_id": "O005-TERM-0127"
    },
    {
      "id_ID_preferred": "model pembentuk pola",
      "note": "",
      "source_term": "pattern-forming model",
      "status": "admitted",
      "term_id": "O005-TERM-0128"
    },
    {
      "id_ID_preferred": "jauh dari kesetimbangan",
      "note": "",
      "source_term": "far from equilibrium",
      "status": "admitted",
      "term_id": "O005-TERM-0129"
    },
    {
      "id_ID_preferred": "konstanta laju",
      "note": "Use konstanta laju reaksi on first use when the chemical context is not yet explicit.",
      "source_term": "rate constant",
      "status": "admitted",
      "term_id": "O005-TERM-0130"
    },
    {
      "id_ID_preferred": "reaktan",
      "note": "",
      "source_term": "reactant",
      "status": "admitted",
      "term_id": "O005-TERM-0131"
    },
    {
      "id_ID_preferred": "produk",
      "note": "In reaction prose this means the chemical product rather than a multiplication operation.",
      "source_term": "product",
      "status": "admitted",
      "term_id": "O005-TERM-0132"
    },
    {
      "id_ID_preferred": "energi aktivasi",
      "note": "",
      "source_term": "activation energy",
      "status": "admitted",
      "term_id": "O005-TERM-0133"
    },
    {
      "id_ID_preferred": "faktor stoikiometri",
      "note": "",
      "source_term": "stoichiometric factor",
      "status": "admitted",
      "term_id": "O005-TERM-0134"
    },
    {
      "id_ID_preferred": "siklus limit",
      "note": "Do not use siklus batas; distinguish an attracting limit cycle from a neutrally stable family of periodic orbits.",
      "source_term": "limit cycle",
      "status": "admitted",
      "term_id": "O005-TERM-0135"
    },
    {
      "id_ID_preferred": "osilasi relaksasi",
      "note": "",
      "source_term": "relaxation oscillation",
      "status": "admitted",
      "term_id": "O005-TERM-0136"
    },
    {
      "id_ID_preferred": "sistem eksitabel",
      "note": "",
      "source_term": "excitable system",
      "status": "admitted",
      "term_id": "O005-TERM-0137"
    },
    {
      "id_ID_preferred": "muka gelombang",
      "note": "",
      "source_term": "wave front",
      "status": "admitted",
      "term_id": "O005-TERM-0138"
    },
    {
      "id_ID_preferred": "gelombang spiral",
      "note": "",
      "source_term": "spiral wave",
      "status": "admitted",
      "term_id": "O005-TERM-0139"
    },
    {
      "id_ID_preferred": "pergeseran fase",
      "note": "",
      "source_term": "phase shift",
      "status": "admitted",
      "term_id": "O005-TERM-0140"
    },
    {
      "id_ID_preferred": "masalah kaku",
      "note": "Explain this as the coexistence of very short and very long characteristic time scales on first use.",
      "source_term": "stiff problem",
      "status": "admitted",
      "term_id": "O005-TERM-0141"
    },
    {
      "id_ID_preferred": "reaksi reversibel",
      "note": "",
      "source_term": "reversible reaction",
      "status": "admitted",
      "term_id": "O005-TERM-0142"
    },
    {
      "id_ID_preferred": "persamaan kontinuitas",
      "note": "Exact field form attested in arXiv:2001.05854v1 Indonesian TeX; use hukum neraca lokal when explaining the equation with a nonzero source term.",
      "source_term": "continuity equation",
      "status": "admitted",
      "term_id": "O005-TERM-0143"
    },
    {
      "id_ID_preferred": "fluks",
      "note": "Use rapat fluks when the vector denotes transported amount per area per time.",
      "source_term": "flux",
      "status": "admitted",
      "term_id": "O005-TERM-0144"
    },
    {
      "id_ID_preferred": "hukum Fick",
      "note": "",
      "source_term": "Fick's law",
      "status": "admitted",
      "term_id": "O005-TERM-0145"
    },
    {
      "id_ID_preferred": "tensor difusi",
      "note": "",
      "source_term": "diffusion tensor",
      "status": "admitted",
      "term_id": "O005-TERM-0146"
    },
    {
      "id_ID_preferred": "persamaan panas",
      "note": "",
      "source_term": "heat equation",
      "status": "admitted",
      "term_id": "O005-TERM-0147"
    },
    {
      "id_ID_preferred": "gerak Brown",
      "note": "",
      "source_term": "Brownian motion",
      "status": "admitted",
      "term_id": "O005-TERM-0148"
    },
    {
      "id_ID_preferred": "gerak acak",
      "note": "Prefer gerak acak over jalan acak in this edition.",
      "source_term": "random walk",
      "status": "admitted",
      "term_id": "O005-TERM-0149"
    },
    {
      "id_ID_preferred": "rata-rata kuadrat jarak",
      "note": "Do not use kuadrat jarak rata-rata because that can mean the square of the mean distance.",
      "source_term": "mean squared distance",
      "status": "admitted",
      "term_id": "O005-TERM-0150"
    },
    {
      "id_ID_preferred": "persamaan Fisher-KPP",
      "note": "Expand the four surnames on first use.",
      "source_term": "Fisher-KPP equation",
      "status": "admitted",
      "term_id": "O005-TERM-0151"
    },
    {
      "id_ID_preferred": "gelombang berjalan",
      "note": "",
      "source_term": "traveling wave",
      "status": "admitted",
      "term_id": "O005-TERM-0152"
    },
    {
      "id_ID_preferred": "laju gelombang",
      "note": "Use laju rambat when emphasizing propagation through space.",
      "source_term": "wave speed",
      "status": "admitted",
      "term_id": "O005-TERM-0153"
    },
    {
      "id_ID_preferred": "kemotaksis",
      "note": "",
      "source_term": "chemotaxis",
      "status": "admitted",
      "term_id": "O005-TERM-0154"
    },
    {
      "id_ID_preferred": "kemotaktik",
      "note": "",
      "source_term": "chemotactic",
      "status": "admitted",
      "term_id": "O005-TERM-0155"
    },
    {
      "id_ID_preferred": "simpul stabil degenerat",
      "note": "",
      "source_term": "degenerate stable node",
      "status": "admitted",
      "term_id": "O005-TERM-0156"
    },
    {
      "id_ID_preferred": "pola Turing",
      "note": "",
      "source_term": "Turing pattern",
      "status": "admitted",
      "term_id": "O005-TERM-0157"
    },
    {
      "id_ID_preferred": "solusi homogen",
      "note": "Use keadaan homogen when the source says homogeneous state.",
      "source_term": "homogeneous solution",
      "status": "admitted",
      "term_id": "O005-TERM-0158"
    },
    {
      "id_ID_preferred": "ketakstabilan pemecah simetri",
      "note": "Natural prose may use ketakstabilan yang memecahkan simetri.",
      "source_term": "symmetry-breaking instability",
      "status": "admitted",
      "term_id": "O005-TERM-0159"
    },
    {
      "id_ID_preferred": "invariansi translasi",
      "note": "",
      "source_term": "translational invariance",
      "status": "admitted",
      "term_id": "O005-TERM-0160"
    },
    {
      "id_ID_preferred": "mode Fourier",
      "note": "",
      "source_term": "Fourier mode",
      "status": "admitted",
      "term_id": "O005-TERM-0161"
    },
    {
      "id_ID_preferred": "vektor gelombang",
      "note": "",
      "source_term": "wave vector",
      "status": "admitted",
      "term_id": "O005-TERM-0162"
    },
    {
      "id_ID_preferred": "bilangan gelombang",
      "note": "",
      "source_term": "wavenumber",
      "status": "admitted",
      "term_id": "O005-TERM-0163"
    },
    {
      "id_ID_preferred": "laju pertumbuhan",
      "note": "",
      "source_term": "growth rate",
      "status": "admitted",
      "term_id": "O005-TERM-0164"
    },
    {
      "id_ID_preferred": "analisis kestabilan linear",
      "note": "",
      "source_term": "linear stability analysis",
      "status": "admitted",
      "term_id": "O005-TERM-0165"
    },
    {
      "id_ID_preferred": "parameter kendali",
      "note": "",
      "source_term": "control parameter",
      "status": "admitted",
      "term_id": "O005-TERM-0166"
    },
    {
      "id_ID_preferred": "panjang karakteristik",
      "note": "",
      "source_term": "characteristic length",
      "status": "admitted",
      "term_id": "O005-TERM-0167"
    },
    {
      "id_ID_preferred": "di atas ambang",
      "note": "",
      "source_term": "above threshold",
      "status": "admitted",
      "term_id": "O005-TERM-0168"
    },
    {
      "id_ID_preferred": "pola stasioner",
      "note": "",
      "source_term": "stationary pattern",
      "status": "admitted",
      "term_id": "O005-TERM-0169"
    },
    {
      "id_ID_preferred": "pola yang merambat",
      "note": "Distinguish from traveling wave = gelombang berjalan.",
      "source_term": "traveling pattern",
      "status": "admitted",
      "term_id": "O005-TERM-0170"
    },
    {
      "id_ID_preferred": "pola vegetasi",
      "note": "",
      "source_term": "vegetation pattern",
      "status": "admitted",
      "term_id": "O005-TERM-0171"
    },
    {
      "id_ID_preferred": "ketakteraturan ruang-waktu",
      "note": "",
      "source_term": "spatiotemporal disorder",
      "status": "admitted",
      "term_id": "O005-TERM-0172"
    },
    {
      "id_ID_preferred": "biomassa",
      "note": "",
      "source_term": "biomass",
      "status": "admitted",
      "term_id": "O005-TERM-0173"
    },
    {
      "id_ID_preferred": "semiarid",
      "note": "",
      "source_term": "semiarid",
      "status": "admitted",
      "term_id": "O005-TERM-0174"
    },
    {
      "id_ID_preferred": "ruang vektor",
      "note": "",
      "source_term": "vector space",
      "status": "admitted",
      "term_id": "O005-TERM-0175"
    },
    {
      "id_ID_preferred": "subruang linear",
      "note": "",
      "source_term": "linear subspace",
      "status": "admitted",
      "term_id": "O005-TERM-0176"
    },
    {
      "id_ID_preferred": "bebas linear",
      "note": "",
      "source_term": "linearly independent",
      "status": "admitted",
      "term_id": "O005-TERM-0177"
    },
    {
      "id_ID_preferred": "merentang",
      "note": "Use as a verb; use rentang linear for the resulting span when needed.",
      "source_term": "span",
      "status": "admitted",
      "term_id": "O005-TERM-0178"
    },
    {
      "id_ID_preferred": "berdimensi hingga",
      "note": "",
      "source_term": "finite-dimensional",
      "status": "admitted",
      "term_id": "O005-TERM-0179"
    },
    {
      "id_ID_preferred": "pemetaan linear",
      "note": "Use transformasi linear when the source explicitly says transformation.",
      "source_term": "linear mapping",
      "status": "admitted",
      "term_id": "O005-TERM-0180"
    },
    {
      "id_ID_preferred": "ruang hasil",
      "note": "For the image of a linear mapping.",
      "source_term": "range",
      "status": "admitted",
      "term_id": "O005-TERM-0181"
    },
    {
      "id_ID_preferred": "ruang nol",
      "note": "",
      "source_term": "nullspace",
      "status": "admitted",
      "term_id": "O005-TERM-0182"
    },
    {
      "id_ID_preferred": "kernel",
      "note": "",
      "source_term": "kernel",
      "status": "admitted",
      "term_id": "O005-TERM-0183"
    },
    {
      "id_ID_preferred": "transpos",
      "note": "",
      "source_term": "transpose",
      "status": "admitted",
      "term_id": "O005-TERM-0184"
    },
    {
      "id_ID_preferred": "rank",
      "note": "Peringkat may be supplied parenthetically for readers but rank is retained in formulas and chapter prose.",
      "source_term": "rank",
      "status": "admitted",
      "term_id": "O005-TERM-0185"
    },
    {
      "id_ID_preferred": "determinan",
      "note": "",
      "source_term": "determinant",
      "status": "admitted",
      "term_id": "O005-TERM-0186"
    },
    {
      "id_ID_preferred": "jejak",
      "note": "",
      "source_term": "trace",
      "status": "admitted",
      "term_id": "O005-TERM-0187"
    },
    {
      "id_ID_preferred": "invertibel",
      "note": "",
      "source_term": "invertible",
      "status": "admitted",
      "term_id": "O005-TERM-0188"
    },
    {
      "id_ID_preferred": "nilai eigen",
      "note": "",
      "source_term": "eigenvalue",
      "status": "admitted",
      "term_id": "O005-TERM-0189"
    },
    {
      "id_ID_preferred": "vektor eigen",
      "note": "",
      "source_term": "eigenvector",
      "status": "admitted",
      "term_id": "O005-TERM-0190"
    },
    {
      "id_ID_preferred": "vektor eigen tergeneralisasi",
      "note": "",
      "source_term": "generalized eigenvector",
      "status": "admitted",
      "term_id": "O005-TERM-0191"
    },
    {
      "id_ID_preferred": "polinom karakteristik",
      "note": "",
      "source_term": "characteristic polynomial",
      "status": "admitted",
      "term_id": "O005-TERM-0192"
    },
    {
      "id_ID_preferred": "ruang eigen",
      "note": "",
      "source_term": "eigenspace",
      "status": "admitted",
      "term_id": "O005-TERM-0193"
    },
    {
      "id_ID_preferred": "subruang invarian",
      "note": "",
      "source_term": "invariant subspace",
      "status": "admitted",
      "term_id": "O005-TERM-0194"
    },
    {
      "id_ID_preferred": "multiplisitas aljabar",
      "note": "",
      "source_term": "algebraic multiplicity",
      "status": "admitted",
      "term_id": "O005-TERM-0195"
    },
    {
      "id_ID_preferred": "jumlah langsung",
      "note": "",
      "source_term": "direct sum",
      "status": "admitted",
      "term_id": "O005-TERM-0196"
    },
    {
      "id_ID_preferred": "dapat didiagonalkan",
      "note": "",
      "source_term": "diagonalizable",
      "status": "admitted",
      "term_id": "O005-TERM-0197"
    },
    {
      "id_ID_preferred": "gradien",
      "note": "",
      "source_term": "gradient",
      "status": "admitted",
      "term_id": "O005-TERM-0198"
    },
    {
      "id_ID_preferred": "turunan berarah",
      "note": "",
      "source_term": "directional derivative",
      "status": "admitted",
      "term_id": "O005-TERM-0199"
    },
    {
      "id_ID_preferred": "permukaan aras",
      "note": "Use permukaan aras reguler when the nonzero-gradient hypothesis matters.",
      "source_term": "level surface",
      "status": "admitted",
      "term_id": "O005-TERM-0200"
    },
    {
      "id_ID_preferred": "pengali Lagrange",
      "note": "",
      "source_term": "Lagrange multiplier",
      "status": "admitted",
      "term_id": "O005-TERM-0201"
    },
    {
      "id_ID_preferred": "integral garis",
      "note": "",
      "source_term": "line integral",
      "status": "admitted",
      "term_id": "O005-TERM-0202"
    },
    {
      "id_ID_preferred": "medan gradien",
      "note": "",
      "source_term": "gradient field",
      "status": "admitted",
      "term_id": "O005-TERM-0203"
    },
    {
      "id_ID_preferred": "tidak bergantung pada lintasan",
      "note": "",
      "source_term": "path-independent",
      "status": "admitted",
      "term_id": "O005-TERM-0204"
    },
    {
      "id_ID_preferred": "sirkulasi",
      "note": "",
      "source_term": "circulation",
      "status": "admitted",
      "term_id": "O005-TERM-0205"
    },
    {
      "id_ID_preferred": "bebas sirkulasi",
      "note": "",
      "source_term": "circulation-free",
      "status": "admitted",
      "term_id": "O005-TERM-0206"
    },
    {
      "id_ID_preferred": "rotasi (curl)",
      "note": "Give both at first mention; use rotasi in surrounding prose while retaining curl in formulas.",
      "source_term": "curl",
      "status": "admitted",
      "term_id": "O005-TERM-0207"
    },
    {
      "id_ID_preferred": "rapat sirkulasi",
      "note": "",
      "source_term": "circulation density",
      "status": "admitted",
      "term_id": "O005-TERM-0208"
    },
    {
      "id_ID_preferred": "terhubung sederhana",
      "note": "",
      "source_term": "simply connected",
      "status": "admitted",
      "term_id": "O005-TERM-0209"
    },
    {
      "id_ID_preferred": "kaidah tangan kanan",
      "note": "",
      "source_term": "right-hand rule",
      "status": "admitted",
      "term_id": "O005-TERM-0210"
    },
    {
      "id_ID_preferred": "divergensi",
      "note": "",
      "source_term": "divergence",
      "status": "admitted",
      "term_id": "O005-TERM-0211"
    },
    {
      "id_ID_preferred": "besaran skalar",
      "note": "",
      "source_term": "scalar quantity",
      "status": "admitted",
      "term_id": "O005-TERM-0212"
    },
    {
      "id_ID_preferred": "potensial vektor",
      "note": "",
      "source_term": "vector potential",
      "status": "admitted",
      "term_id": "O005-TERM-0213"
    },
    {
      "id_ID_preferred": "domain berbentuk bintang",
      "note": "",
      "source_term": "star-shaped domain",
      "status": "admitted",
      "term_id": "O005-TERM-0214"
    },
    {
      "id_ID_preferred": "persamaan kontinuitas",
      "note": "",
      "source_term": "continuity equation",
      "status": "admitted",
      "term_id": "O005-TERM-0215"
    },
    {
      "id_ID_preferred": "mulus sepotong demi sepotong",
      "note": "",
      "source_term": "piecewise smooth",
      "status": "admitted",
      "term_id": "O005-TERM-0216"
    },
    {
      "id_ID_preferred": "persamaan diferensial biasa (PDB)",
      "note": "Introduce the abbreviation PDB at first substantive use.",
      "source_term": "ordinary differential equation",
      "status": "admitted",
      "term_id": "O005-TERM-0217"
    },
    {
      "id_ID_preferred": "kondisi awal",
      "note": "Preferred in continuous reader prose and already dominant in this edition; syarat awal remains acceptable when the sentence emphasizes a mathematical constraint. Keep masalah nilai awal for initial-value problem.",
      "source_term": "initial condition",
      "status": "admitted",
      "term_id": "O005-TERM-0218"
    },
    {
      "id_ID_preferred": "syarat batas",
      "note": "Strongly attested throughout arXiv:2001.05854v1 Indonesian TeX; use consistently for mathematical boundary conditions rather than kondisi batas.",
      "source_term": "boundary condition",
      "status": "admitted",
      "term_id": "O005-TERM-0219"
    },
    {
      "id_ID_preferred": "faktor integrasi",
      "note": "",
      "source_term": "integrating factor",
      "status": "admitted",
      "term_id": "O005-TERM-0220"
    },
    {
      "id_ID_preferred": "persamaan terpisahkan",
      "note": "",
      "source_term": "separable equation",
      "status": "admitted",
      "term_id": "O005-TERM-0221"
    },
    {
      "id_ID_preferred": "persamaan diferensial eksak",
      "note": "",
      "source_term": "exact differential equation",
      "status": "admitted",
      "term_id": "O005-TERM-0222"
    },
    {
      "id_ID_preferred": "persamaan Bernoulli",
      "note": "",
      "source_term": "Bernoulli equation",
      "status": "admitted",
      "term_id": "O005-TERM-0223"
    },
    {
      "id_ID_preferred": "persamaan Riccati",
      "note": "",
      "source_term": "Riccati equation",
      "status": "admitted",
      "term_id": "O005-TERM-0224"
    },
    {
      "id_ID_preferred": "persamaan Clairaut",
      "note": "",
      "source_term": "Clairaut equation",
      "status": "admitted",
      "term_id": "O005-TERM-0225"
    },
    {
      "id_ID_preferred": "persamaan Cauchy–Euler",
      "note": "",
      "source_term": "Cauchy–Euler equation",
      "status": "admitted",
      "term_id": "O005-TERM-0226"
    },
    {
      "id_ID_preferred": "matriks fundamental",
      "note": "",
      "source_term": "fundamental matrix",
      "status": "admitted",
      "term_id": "O005-TERM-0227"
    },
    {
      "id_ID_preferred": "variasi konstanta",
      "note": "",
      "source_term": "variation of constants",
      "status": "admitted",
      "term_id": "O005-TERM-0228"
    },
    {
      "id_ID_preferred": "ruang fase",
      "note": "",
      "source_term": "phase space",
      "status": "admitted",
      "term_id": "O005-TERM-0229"
    },
    {
      "id_ID_preferred": "titik tetap",
      "note": "",
      "source_term": "fixed point",
      "status": "admitted",
      "term_id": "O005-TERM-0230"
    },
    {
      "id_ID_preferred": "linearisasi",
      "note": "",
      "source_term": "linearization",
      "status": "admitted",
      "term_id": "O005-TERM-0231"
    },
    {
      "id_ID_preferred": "simpul stabil",
      "note": "",
      "source_term": "stable node",
      "status": "admitted",
      "term_id": "O005-TERM-0232"
    },
    {
      "id_ID_preferred": "spiral stabil",
      "note": "",
      "source_term": "stable spiral",
      "status": "admitted",
      "term_id": "O005-TERM-0233"
    },
    {
      "id_ID_preferred": "titik pelana",
      "note": "",
      "source_term": "saddle point",
      "status": "admitted",
      "term_id": "O005-TERM-0234"
    },
    {
      "id_ID_preferred": "pusat linear",
      "note": "",
      "source_term": "linear center",
      "status": "admitted",
      "term_id": "O005-TERM-0235"
    },
    {
      "id_ID_preferred": "stabil marginal",
      "note": "",
      "source_term": "marginally stable",
      "status": "admitted",
      "term_id": "O005-TERM-0236"
    },
    {
      "id_ID_preferred": "Wronskian",
      "note": "",
      "source_term": "Wronskian",
      "status": "admitted",
      "term_id": "O005-TERM-0237"
    },
    {
      "id_ID_preferred": "proyek pemodelan",
      "note": "Use as the Chapter 14 display title and generic project type.",
      "source_term": "modeling project",
      "status": "admitted",
      "term_id": "O005-TERM-0238"
    },
    {
      "id_ID_preferred": "capaian proyek",
      "note": "Use for the actionable outcome list rather than the literal loanword ekspektasi.",
      "source_term": "project expectations",
      "status": "admitted",
      "term_id": "O005-TERM-0239"
    },
    {
      "id_ID_preferred": "model berbasis agen",
      "note": "",
      "source_term": "agent-based model",
      "status": "admitted",
      "term_id": "O005-TERM-0240"
    },
    {
      "id_ID_preferred": "model berbasis individu",
      "note": "Distinguish from a generic agent-based model when the source does.",
      "source_term": "individual-based model",
      "status": "admitted",
      "term_id": "O005-TERM-0241"
    },
    {
      "id_ID_preferred": "kecerdasan kolektif",
      "note": "",
      "source_term": "collective intelligence",
      "status": "admitted",
      "term_id": "O005-TERM-0242"
    },
    {
      "id_ID_preferred": "intervensi nonfarmasi",
      "note": "",
      "source_term": "non-pharmaceutical intervention",
      "status": "admitted",
      "term_id": "O005-TERM-0243"
    },
    {
      "id_ID_preferred": "penularan zoonotik",
      "note": "",
      "source_term": "zoonotic transmission",
      "status": "admitted",
      "term_id": "O005-TERM-0244"
    },
    {
      "id_ID_preferred": "kompromi",
      "note": "Use when one modeling objective improves only at the cost of another.",
      "source_term": "trade-off",
      "status": "admitted",
      "term_id": "O005-TERM-0245"
    },
    {
      "id_ID_preferred": "identifikasi parameter",
      "note": "Use estimasi parameter only for the numerical estimation procedure itself.",
      "source_term": "parameter identification",
      "status": "admitted",
      "term_id": "O005-TERM-0246"
    },
    {
      "id_ID_preferred": "pemaksaan musiman",
      "note": "",
      "source_term": "seasonal forcing",
      "status": "admitted",
      "term_id": "O005-TERM-0247"
    },
    {
      "id_ID_preferred": "sistem layanan kesehatan",
      "note": "",
      "source_term": "health-care system",
      "status": "admitted",
      "term_id": "O005-TERM-0248"
    },
    {
      "id_ID_preferred": "kolam lelehan",
      "note": "Arctic sea-ice context.",
      "source_term": "melt pond",
      "status": "admitted",
      "term_id": "O005-TERM-0249"
    },
    {
      "id_ID_preferred": "paket proyek",
      "note": "Independent executable companion bundle rather than source-provided material.",
      "source_term": "project packet",
      "status": "admitted",
      "term_id": "O005-TERM-0250"
    },
    {
      "id_ID_preferred": "sistem dinamik",
      "note": "Use consistently for the mathematical field and system class; do not alternate with sistem dinamis or sistem dinamika in reader-facing prose.",
      "source_term": "dynamical system",
      "status": "admitted",
      "term_id": "O005-TERM-0251"
    },
    {
      "id_ID_preferred": "persamaan diferensial pengatur",
      "note": "Exact field form attested in arXiv:2001.05854v1 Indonesian TeX.",
      "source_term": "governing differential equation",
      "status": "admitted",
      "term_id": "O005-TERM-0252"
    },
    {
      "id_ID_preferred": "masalah nilai batas",
      "note": "Exact field form attested in arXiv:2001.05854v1 Indonesian TeX and already used in Chapter 13.",
      "source_term": "boundary-value problem",
      "status": "admitted",
      "term_id": "O005-TERM-0253"
    },
    {
      "id_ID_preferred": "metode numerik",
      "note": "Exact field form attested in arXiv:2001.05854v1 Indonesian TeX.",
      "source_term": "numerical method",
      "status": "admitted",
      "term_id": "O005-TERM-0254"
    },
    {
      "id_ID_preferred": "tebakan awal",
      "note": "Exact field form attested in arXiv:2001.05854v1 Indonesian TeX and already used in the Chapter 1 notebook.",
      "source_term": "initial guess",
      "status": "admitted",
      "term_id": "O005-TERM-0255"
    },
    {
      "id_ID_preferred": "galat numerik",
      "note": "The headword galat is attested repeatedly in arXiv:2001.05854v1 Indonesian TeX; qualify it where needed to distinguish numerical error from model discrepancy.",
      "source_term": "numerical error",
      "status": "admitted",
      "term_id": "O005-TERM-0256"
    },
    {
      "id_ID_preferred": "konvergensi",
      "note": "Retain the modern established form; arXiv:2001.05854v1 uses the older derivative kekonvergenan once and does not justify replacing current usage.",
      "source_term": "convergence",
      "status": "admitted",
      "term_id": "O005-TERM-0257"
    },
    {
      "id_ID_preferred": "relasi dispersi",
      "note": "Exact field form attested repeatedly in arXiv:2001.05854v1 Indonesian TeX and already used in Chapter 10.",
      "source_term": "dispersion relation",
      "status": "admitted",
      "term_id": "O005-TERM-0258"
    },
    {
      "id_ID_preferred": "keadaan kesetimbangan",
      "note": "Use for a physical or epidemiological equilibrium state; use titik kesetimbangan when the state is represented as a point and titik tetap for the fixed point of a map or flow. These are related concepts rather than mechanically interchangeable labels.",
      "source_term": "equilibrium",
      "status": "admitted",
      "term_id": "O005-TERM-0259"
    },
    {
      "id_ID_preferred": "model matematika",
      "note": "Use for an individual model; mathematical modeling remains pemodelan matematika.",
      "source_term": "mathematical model",
      "status": "admitted",
      "term_id": "O005-TERM-0260"
    },
    {
      "id_ID_preferred": "ilmu hayati",
      "note": "Preferred broad field label in the Preface.",
      "source_term": "life sciences",
      "status": "admitted",
      "term_id": "O005-TERM-0261"
    },
    {
      "id_ID_preferred": "pemetaan kacau",
      "note": "Map in a discrete dynamical-system context.",
      "source_term": "chaotic map",
      "status": "admitted",
      "term_id": "O005-TERM-0262"
    },
    {
      "id_ID_preferred": "sistem yang terbentang secara spasial",
      "note": "Use for systems whose state varies over an extended spatial domain; terbentang describes spatial extent without implying active expansion.",
      "source_term": "spatially extended system",
      "status": "admitted",
      "term_id": "O005-TERM-0263"
    },
    {
      "id_ID_preferred": "teori titik tetap",
      "note": "Keep distinct from physical equilibrium terminology.",
      "source_term": "fixed-point theory",
      "status": "admitted",
      "term_id": "O005-TERM-0264"
    },
    {
      "id_ID_preferred": "eksplorasi numerik",
      "note": "Exploratory use of numerical computation rather than a specific algorithm.",
      "source_term": "numerical exploration",
      "status": "admitted",
      "term_id": "O005-TERM-0265"
    },
    {
      "id_ID_preferred": "model deterministik",
      "note": "Contrasted with models involving randomness.",
      "source_term": "deterministic model",
      "status": "admitted",
      "term_id": "O005-TERM-0266"
    },
    {
      "id_ID_preferred": "kemahiran bermatematika",
      "note": "Means flexible mathematical command beyond expertise in one subject.",
      "source_term": "mathematical fluency",
      "status": "admitted",
      "term_id": "O005-TERM-0267"
    },
    {
      "id_ID_preferred": "antarmuka pengguna grafis",
      "note": "Spell out before the abbreviation GUI where needed.",
      "source_term": "graphical user interface",
      "status": "admitted",
      "term_id": "O005-TERM-0268"
    },
    {
      "id_ID_preferred": "mata kuliah integratif tingkat akhir",
      "note": "Functional Indonesian rendering; retain capstone parenthetically only where curricular comparison requires it.",
      "source_term": "capstone course",
      "status": "admitted",
      "term_id": "O005-TERM-0269"
    },
    {
      "id_ID_preferred": "artikel penelitian",
      "note": "Use for a scholarly research paper in running prose.",
      "source_term": "research article",
      "status": "admitted",
      "term_id": "O005-TERM-0270"
    },
    {
      "_adapter_csv_normalization": "joined_unquoted_comma_into_final_field",
      "id_ID_preferred": "data uji yang disisihkan",
      "note": "Introduce once as data uji yang disisihkan (holdout) and then use data uji; Indonesian research and instructional usage consistently pairs data latih with data uji, so avoid the unnatural calque data tahan.",
      "source_term": "holdout data",
      "status": "admitted",
      "term_id": "O005-TERM-0271"
    },
    {
      "id_ID_preferred": "data latih",
      "note": "Established Indonesian pairing with data uji; prefer over the more literal data pelatihan in reader-facing prose.",
      "source_term": "training data",
      "status": "admitted",
      "term_id": "O005-TERM-0272"
    },
    {
      "id_ID_preferred": "algoritma",
      "note": "Use the form attested in the Indonesian arXiv TeX and Badan Bahasa technical terminology; normalize the variant algoritme in this edition.",
      "source_term": "algorithm",
      "status": "admitted",
      "term_id": "O005-TERM-0273"
    },
    {
      "id_ID_preferred": "asal-usul data",
      "note": "Use the natural reader-facing explanation; retain provenance only in locale-neutral machine keys or when defining the English technical label.",
      "source_term": "data provenance",
      "status": "admitted",
      "term_id": "O005-TERM-0274"
    },
    {
      "id_ID_preferred": "estimasi parameter",
      "note": "Use for numerical estimation procedures; avoid pencocokan parameter when the operation is explicitly estimation by least squares.",
      "source_term": "parameter estimation",
      "status": "admitted",
      "term_id": "O005-TERM-0275"
    },
    {
      "id_ID_preferred": "bifurkasi",
      "note": "Established Indonesian mathematical term.",
      "source_term": "bifurcation",
      "status": "admitted",
      "term_id": "O005-TERM-0276"
    },
    {
      "id_ID_preferred": "bifurkasi lokal",
      "note": "Use for a qualitative change analyzed near a critical equilibrium or orbit.",
      "source_term": "local bifurcation",
      "status": "admitted",
      "term_id": "O005-TERM-0277"
    },
    {
      "id_ID_preferred": "cabang kesetimbangan",
      "note": "Use for a parameterized branch of equilibria; retain the equilibrium and fixed-point distinction recorded in O005-TERM-0259.",
      "source_term": "equilibrium branch",
      "status": "admitted",
      "term_id": "O005-TERM-0278"
    },
    {
      "id_ID_preferred": "pertukaran kestabilan",
      "note": "Use when intersecting solution branches swap their stable and unstable character.",
      "source_term": "exchange of stability",
      "status": "admitted",
      "term_id": "O005-TERM-0279"
    },
    {
      "id_ID_preferred": "bentuk normal",
      "note": "Standard mathematical term for the reduced local equation near a bifurcation.",
      "source_term": "normal form",
      "status": "admitted",
      "term_id": "O005-TERM-0280"
    },
    {
      "id_ID_preferred": "superkritis",
      "note": "Preferred Indonesian form in bifurcation context.",
      "source_term": "supercritical",
      "status": "admitted",
      "term_id": "O005-TERM-0281"
    },
    {
      "id_ID_preferred": "subkritis",
      "note": "Preferred Indonesian form in bifurcation context.",
      "source_term": "subcritical",
      "status": "admitted",
      "term_id": "O005-TERM-0282"
    },
    {
      "id_ID_preferred": "bifurkasi Hopf",
      "note": "Indonesian mathematical publications retain the proper name Hopf.",
      "source_term": "Hopf bifurcation",
      "status": "admitted",
      "term_id": "O005-TERM-0283"
    },
    {
      "id_ID_preferred": "bifurkasi transkritis",
      "note": "Use the established Indonesian adjective transkritis in reader prose; source titles also attest transkritikal as a variant.",
      "source_term": "transcritical bifurcation",
      "status": "admitted",
      "term_id": "O005-TERM-0284"
    },
    {
      "id_ID_preferred": "bifurkasi pitchfork",
      "note": "Indonesian university mathematical writing retains pitchfork as the established type name; do not promote the explanatory shape phrase garpu tala to the head term.",
      "source_term": "pitchfork bifurcation",
      "status": "admitted",
      "term_id": "O005-TERM-0285"
    },
    {
      "id_ID_preferred": "bifurkasi saddle-node",
      "note": "Indonesian university mathematical writing retains saddle-node as the established type name; do not use the unsupported literal coinage pelana-simpul as the head term.",
      "source_term": "saddle-node bifurcation",
      "status": "admitted",
      "term_id": "O005-TERM-0286"
    },
    {
      "id_ID_preferred": "transversalitas",
      "note": "Use for the nonzero-crossing condition at a local bifurcation.",
      "source_term": "transversality",
      "status": "admitted",
      "term_id": "O005-TERM-0287"
    },
    {
      "id_ID_preferred": "nonhiperbolisitas",
      "note": "Use for the property of a nonhyperbolic equilibrium; keep the adjective nonhiperbolik.",
      "source_term": "nonhyperbolicity",
      "status": "admitted",
      "term_id": "O005-TERM-0288"
    },
    {
      "id_ID_preferred": "semistabil",
      "note": "Use when an equilibrium attracts from one side and repels from the other.",
      "source_term": "semistable",
      "status": "admitted",
      "term_id": "O005-TERM-0289"
    },
    {
      "id_ID_preferred": "penampang Poincaré",
      "note": "Use the accented proper name in reader prose and state the crossing orientation explicitly.",
      "source_term": "Poincare section",
      "status": "admitted",
      "term_id": "O005-TERM-0290"
    },
    {
      "id_ID_preferred": "peta Poincaré",
      "note": "Use for the full map from one oriented section crossing to the next; keep distinct from a one-coordinate return-map projection.",
      "source_term": "Poincare map",
      "status": "admitted",
      "term_id": "O005-TERM-0291"
    },
    {
      "id_ID_preferred": "pengali",
      "note": "Use for the derivative of an iterated map or the product around a periodic orbit; do not confuse it with a Lagrange multiplier.",
      "source_term": "multiplier",
      "status": "admitted",
      "term_id": "O005-TERM-0292"
    },
    {
      "id_ID_preferred": "periode prima",
      "note": "The smallest positive iterate count that returns a point to itself.",
      "source_term": "prime period",
      "status": "admitted",
      "term_id": "O005-TERM-0293"
    },
    {
      "id_ID_preferred": "transien",
      "note": "Use for the initial iterations or integration interval discarded before asymptotic analysis.",
      "source_term": "transient",
      "status": "admitted",
      "term_id": "O005-TERM-0294"
    },
    {
      "id_ID_preferred": "interval invarian",
      "note": "An interval mapped into itself by the dynamical rule.",
      "source_term": "invariant interval",
      "status": "admitted",
      "term_id": "O005-TERM-0295"
    },
    {
      "id_ID_preferred": "kepekaan terhadap kondisi awal",
      "note": "Use for dynamical separation of nearby initial states after numerical convergence has been checked.",
      "source_term": "sensitive dependence on initial conditions",
      "status": "admitted",
      "term_id": "O005-TERM-0296"
    },
    {
      "id_ID_preferred": "orbit periodik",
      "note": "Use for an orbit with a finite prime period.",
      "source_term": "periodic orbit",
      "status": "admitted",
      "term_id": "O005-TERM-0297"
    },
    {
      "id_ID_preferred": "proyeksi peta balik",
      "note": "Use when a lower-dimensional coordinate plot discards information from the full Poincare map.",
      "source_term": "projected return map",
      "status": "admitted",
      "term_id": "O005-TERM-0298"
    },
    {
      "id_ID_preferred": "atraktor kacau",
      "note": "Use only when the attracting and chaotic qualifications are both justified; do not infer it from visual complexity alone.",
      "source_term": "chaotic attractor",
      "status": "admitted",
      "term_id": "O005-TERM-0299"
    },
    {
      "id_ID_preferred": "sistem Lorenz",
      "note": "Retain the proper name Lorenz.",
      "source_term": "Lorenz system",
      "status": "admitted",
      "term_id": "O005-TERM-0300"
    },
    {
      "id_ID_preferred": "sistem waktu diskret",
      "note": "Use for an iterated map indexed by integer time steps.",
      "source_term": "discrete-time system",
      "status": "admitted",
      "term_id": "O005-TERM-0301"
    },
    {
      "id_ID_preferred": "kalibrasi",
      "note": "Use for estimating model parameters from the declared calibration data; do not imply validation.",
      "source_term": "calibration",
      "status": "admitted",
      "term_id": "O005-TERM-0302"
    },
    {
      "id_ID_preferred": "identifiabilitas struktural",
      "note": "Use for uniqueness in the idealized noise-free model and observation structure.",
      "source_term": "structural identifiability",
      "status": "admitted",
      "term_id": "O005-TERM-0303"
    },
    {
      "id_ID_preferred": "identifiabilitas praktis",
      "note": "Use for estimability under the actual finite noisy data and observation design.",
      "source_term": "practical identifiability",
      "status": "admitted",
      "term_id": "O005-TERM-0304"
    },
    {
      "id_ID_preferred": "sensitivitas terskala",
      "note": "Use when parameter scaling has been included explicitly; keep distinct from an unscaled derivative.",
      "source_term": "scaled sensitivity",
      "status": "admitted",
      "term_id": "O005-TERM-0305"
    },
    {
      "id_ID_preferred": "bilangan kondisi",
      "note": "Use with the norm or matrix stated; it is a diagnostic and not a universal identifiability threshold.",
      "source_term": "condition number",
      "status": "admitted",
      "term_id": "O005-TERM-0306"
    },
    {
      "id_ID_preferred": "residu",
      "note": "Define the sign convention explicitly; C4 uses observation minus fitted prediction.",
      "source_term": "residual",
      "status": "admitted",
      "term_id": "O005-TERM-0307"
    },
    {
      "id_ID_preferred": "kriteria informasi Akaike terkoreksi (AICc)",
      "note": "Introduce the expansion once where space permits and retain AICc for tables and calculations.",
      "source_term": "corrected Akaike information criterion",
      "status": "admitted",
      "term_id": "O005-TERM-0308"
    },
    {
      "id_ID_preferred": "bootstrap parametrik",
      "note": "Use when pseudo-data are generated from the fitted parametric model and observation-error assumption.",
      "source_term": "parametric bootstrap",
      "status": "admitted",
      "term_id": "O005-TERM-0309"
    },
    {
      "id_ID_preferred": "respons laten",
      "note": "The model response before a new observation error is added.",
      "source_term": "latent response",
      "status": "admitted",
      "term_id": "O005-TERM-0310"
    },
    {
      "id_ID_preferred": "interval prediksi",
      "note": "State whether the interval is for a latent response or a future observation.",
      "source_term": "prediction interval",
      "status": "admitted",
      "term_id": "O005-TERM-0311"
    },
    {
      "id_ID_preferred": "ketidakpastian parameter",
      "note": "Keep distinct from observation error and model discrepancy.",
      "source_term": "parameter uncertainty",
      "status": "admitted",
      "term_id": "O005-TERM-0312"
    },
    {
      "id_ID_preferred": "ketaksesuaian model",
      "note": "Use for mismatch caused by model form rather than numerical error or observation noise.",
      "source_term": "model discrepancy",
      "status": "admitted",
      "term_id": "O005-TERM-0313"
    },
    {
      "id_ID_preferred": "validasi eksternal",
      "note": "Evaluation against genuinely external evidence not used to develop or revise the model.",
      "source_term": "external validation",
      "status": "admitted",
      "term_id": "O005-TERM-0314"
    },
    {
      "id_ID_preferred": "bias",
      "note": "Retain the established technical term and state the residual sign convention before interpreting its sign.",
      "source_term": "bias",
      "status": "admitted",
      "term_id": "O005-TERM-0315"
    },
    {
      "id_ID_preferred": "akar rerata kuadrat galat (RMSE)",
      "note": "Expand once in explanatory prose; retain RMSE in compact tables and formulas.",
      "source_term": "root mean square error",
      "status": "admitted",
      "term_id": "O005-TERM-0316"
    },
    {
      "id_ID_preferred": "rerata galat absolut (MAE)",
      "note": "Expand once in explanatory prose; retain MAE in compact tables and formulas.",
      "source_term": "mean absolute error",
      "status": "admitted",
      "term_id": "O005-TERM-0317"
    },
    {
      "id_ID_preferred": "jendela kalibrasi",
      "note": "Use for the predetermined time range used to estimate parameters.",
      "source_term": "calibration window",
      "status": "admitted",
      "term_id": "O005-TERM-0318"
    },
    {
      "id_ID_preferred": "model pengamatan",
      "note": "Use for the probabilistic relation between a latent model response and measured data.",
      "source_term": "observation model",
      "status": "admitted",
      "term_id": "O005-TERM-0319"
    },
    {
      "id_ID_preferred": "model kandidat",
      "note": "One model in the explicitly bounded comparison set; selection among candidates is not universal truth.",
      "source_term": "candidate model",
      "status": "admitted",
      "term_id": "O005-TERM-0320"
    },
    {
      "id_ID_preferred": "interval prediksi titik-demi-titik",
      "note": "Keep distinct from a simultaneous band for an entire trajectory.",
      "source_term": "pointwise prediction interval",
      "status": "admitted",
      "term_id": "O005-TERM-0321"
    }
  ],
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    "bytes": 31387,
    "path": "00_control/TERMINOLOGY.csv",
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  "terminology_csv_normalizations": [
    {
      "action": "joined_unquoted_comma_into_final_field",
      "term_id": "O005-TERM-0271"
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