Istilah matematika · Keluarga Lebl
827 rekaman istilah yang dipilih pembuat buku: padanan utama, alternatif, bentuk yang ditolak, dan cakupan. Rekaman berbeda tidak digabung hanya karena ejaannya sama. Ini register keluarga buku, bukan keputusan istilah universal.
| Istilah sumber | Pilihan utama | Alternatif | Ditolak dalam register ini | Cakupan dan bukti |
|---|---|---|---|---|
| discriminant | diskriminan | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:00417372-8600-5ab9-a65b-09911bcf4e58 |
| direct image | citra langsung | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:00584d1e-7e6f-5dfe-a6ec-c5eba197a0dd |
| proper map | proper | pemetaan proper | — | R006Alasan dan buktiTechnical loan retained in the indexed exercise term. R006 ch-metric.tex urn:uuid:006a77f9-3182-517f-b459-ff6e437d9ac9 |
| parametric curve | kurva parametrik | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:01abb09b-0f15-5972-8174-785d9ea3967a |
| inner product | hasil kali dalam | produk dalam | — | R006Alasan dan buktiPrefer hasil kali dalam throughout reader prose and index entries R006 ch-approximate.tex raw lines 4612-4711; standard Indonesian linear-algebra terminology for the integral pairing urn:uuid:01ca56e9-81e7-509a-a36c-f259843aa3f5 |
| logarithm | logaritma | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:021e00f3-4115-5a64-b89b-df7a1aa20354 |
| Poincaré section | penampang Poincaré | irisan Poincaré | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 2304-2354 urn:uuid:02538122-bf62-51ef-8454-f50fcdb656ce |
| set of discontinuities | himpunan titik diskontinuitas | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:03347592-e0ee-5dae-8d47-351df155a0d4 |
| nth root | akar pangkat n | akar ke-n | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:034c7159-a6b5-5260-9a44-e6168f5e43f6 |
| diameter | diameter | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:03568127-f5b7-5465-829d-0ef42eb45dae |
| unknown | peubah tak diketahui | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:04315779-ab7a-500f-9397-39cb8471058d |
| without loss of generality | tanpa mengurangi keumuman | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1505-1507 urn:uuid:047e7fd8-c053-5aec-abd6-efa98dfcf046 |
| critical point | titik kritis | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:04e5ff9f-3af1-54e4-9908-96de6922d761 |
| generalized Stokes' theorem | teorema Stokes umum | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:04fb568f-e962-5441-afba-d989f0ccbfe5 |
| vector-valued function | fungsi bernilai vektor | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:05203f93-17f5-5b02-8fc2-b8c0f84396d5 |
| subsequence | subbarisan | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:052a5c7d-fbc7-530b-9fb1-a898cd93c873 |
| strict local minimum | minimum lokal ketat | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:0547d43e-3e61-5590-9708-afa6427f69ab |
| level curve | kurva level | kurva aras | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:05d41639-6f25-521e-81a5-9e48684baf69 |
| common refinement | penghalusan bersama | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:05e0021b-c1a9-566b-aa40-e8804f80b3a5 |
| peak | puncak | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:05f2a87d-0c28-55c0-8d68-55afc01b89ad |
| chaos | chaos | kekacauan | kaos | R007Alasan dan buktiUse chaos as the technical noun; ordinary prose may use kekacauan contextually R007 ch-nonlin-systems.tex raw lines 2155-2174 urn:uuid:0623f289-c5c4-5464-8454-da3b0f772a3f |
| hyperbolic sine | sinus hiperbolik | fungsi sinus hiperbolik | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2192-2221 urn:uuid:062953b0-cf62-5af1-80b2-4c4e067a77fc |
| unimodular | bermodulus satu | unimodular | — | R006Alasan dan buktiReader-facing Indonesian term follows the mathematical meaning; source term retained only as a search variant R006 ch-approximate.tex raw lines 1976-1982 urn:uuid:062f4772-80b6-5172-9f4e-c41ed1ce719e |
| bounded set | himpunan terbatas | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:06d19307-2210-5607-9cdd-83d85c6efda7 |
| clockwise | searah jarum jam | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:07135d06-6d93-5d71-a7ad-13b40076b801 |
| Fubini for sums | Fubini untuk penjumlahan | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:07627480-c836-5e11-8b0c-73f33f666e86 |
| Leibniz integral rule | aturan integral Leibniz | aturan Leibniz | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:07ac1a33-cb26-59c6-8902-a9f88cbe2579 |
| normed vector space | ruang vektor bernorma | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:07eea9eb-33f5-56ef-841a-5680868459df |
| induction step | langkah induksi | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:09f42525-1112-52b8-b79d-ceeb4f3b9838 |
| trigonometric functions | fungsi trigonometri | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1864-2096 urn:uuid:09fc7c0d-0df5-5d20-a27a-e6f68e61d77c |
| indicator function | fungsi indikator | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:0a4c0a2d-144b-5a2f-b479-3521058ff152 |
| counterclockwise | berlawanan arah jarum jam | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:0ab22ea1-bee5-54a2-b31f-3ce59da67e0b |
| path integral | integral lintasan | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:0b42a347-1c47-5d54-bee0-326a759f9d2b |
| maximum modulus principle | prinsip modulus maksimum | prinsip maksimum modulus | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2347-2357 urn:uuid:0b5ad148-f85c-5182-97b9-33dc722139b1 |
| compactly supported | berdukungan kompak | mempunyai dukungan kompak | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:0b5b13fa-3b32-5e47-83a2-5521d625bc28 |
| harmonic series | deret harmonik | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:0ba19e7c-f08b-5446-8368-3d76156d19c2 |
| truncation | pemotongan | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:0ba7b197-cac8-5766-b5dc-d936c3121e28 |
| approximate delta function | fungsi delta hampiran | fungsi delta aproksimasi; hampiran fungsi delta Dirac | — | R006Alasan dan buktiTransparent compositional term preserves the defined mathematical role without overstating external attestation R006 ch-approximate.tex raw lines 3137-3390; the source defines the approximate identity explicitly; compositional binding uses the established lane terms fungsi delta and hampiran urn:uuid:0c35d4fa-8a84-5823-b9b1-a6e4aa982f12 |
| continuity | kekontinuan | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:0cc23b12-c899-50bd-8af5-e1f88d2b0b40 |
| general linear group | grup linear umum | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:0cdcca87-80b3-50de-aaf9-fc1dcdde862d |
| Devil's staircase | tangga Iblis | tangga Setan | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:0d40df9e-eb3c-56ff-9a63-2a3bfe7b3894 |
| infinite sequence of digits | barisan digit tak berhingga | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:0d9ea3c7-c888-5106-a1a1-db602a412bc9 |
| inverse function | fungsi invers | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:0dbf8220-2fcf-5bcd-8e35-0e6f158ca55f |
| k-times continuously differentiable | diferensiabel secara kontinu hingga orde k | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:0eb9e733-9b1e-5e81-aa91-27481fee77f3 |
| orthonormal system | sistem ortonormal | — | — | R006Alasan dan buktiKeep system wording because the source uses a sequence indexed by positive integers R006 ch-approximate.tex raw lines 4612-4711; the source requires unit norm and pairwise orthogonality urn:uuid:0edae117-b42a-52c3-912d-722756affb54 |
| nonnegativity of a metric | sifat taknegatif metrik | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:0ee0b303-2c83-5c0b-9238-c6d5278ba9cd |
| empty set | himpunan kosong | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 p. 2 urn:uuid:0f050465-06b3-5262-abea-44ce268fa841 |
| natural numbers | bilangan asli | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:0f054e97-5998-579b-b506-fd33896c49e9 |
| zero set | himpunan nol | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:0f8f844e-ed87-5ef7-a3bf-14f88dcd71d4 |
| uniformly bounded | terbatas seragam | terbatas secara seragam | — | R006Alasan dan buktiUse terbatas seragam in running mathematical prose; retain the adverbial variant for grammatical contexts R006 ch-approximate.tex raw lines 2556-2617; Sufri Cara Lain Pembuktian Teorema Arzela-Ascoli Jurnal Sainmatika UNJA urn:uuid:0fda1b14-f5bf-5af7-af7a-2333e93ec861 |
| principle of induction | prinsip induksi | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:0fffdb4b-ac31-5b11-b0ef-e0cff33dce5e |
| zero series | deret nol | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1329-1332 urn:uuid:10135273-f834-5012-858e-e435c2936e96 |
| scalar | skalar | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:107e0149-6095-5941-91fb-65473992318b |
| transpose | transpos | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:107efdd7-ac5e-59dd-bd12-ac00236a367f |
| strong induction | induksi kuat | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:10b79e3e-377d-584d-8f2e-873a743659b5 |
| composition of functions | komposisi fungsi | fungsi komposisi | — | R006Alasan dan buktiRetain the established lane preference; fungsi komposisi is an attested variant. R006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 p. 1 urn:uuid:10c1746d-e55f-52fa-83e9-fb0c97a51074 |
| repeating digit period | periode digit berulang | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:10cedf9b-66b7-59ba-a96a-915ec11a50a9 |
| periodic orbit | orbit periodik | — | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 1753-1828 urn:uuid:110caff7-86be-5f22-8ea3-19fdb94324f3 |
| imaginary axis | sumbu imajiner | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 30-32 urn:uuid:113416b5-d76a-5c6c-b0f0-0f726228154c |
| symmetric | simetris | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:1167e56d-02f0-50a9-9378-a6e9227b6b16 |
| codomain | kodomain | daerah kawan | — | R006Alasan dan buktiRetain the concise established loanword; daerah kawan is an attested explanatory variant. R006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 p. 10 urn:uuid:11b2d4bd-c222-5cd7-9eca-999066119158 |
| discontinuous | diskontinu | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:11f783d3-0803-55af-abe0-036446dc7e72 |
| relative open set | himpunan terbuka relatif | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:1218c455-125b-546f-80ab-5ba49c2ab5fc |
| one-sided approximation error | galat aproksimasi satu-sisi | galat satu-sisi | — | R006Alasan dan buktiUse when only an upper or lower error bound is asserted rather than an absolute-error bound R006 ch-approximate.tex raw lines 3809-3815; the source describes approximation within epsilon from at least one side urn:uuid:12589899-8dfb-559d-a4e7-ccc25d58e2d1 |
| bijective | bijektif | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:12c10861-7fcb-5f49-a869-8978cff77852 |
| angle in radians | sudut dalam radian | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2113-2116 urn:uuid:132eec35-05db-5910-a3b2-7c30beae7501 |
| Peano surface | permukaan Peano | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:136ea3c2-ea6b-528b-b837-c9ef0248379d |
| vector space | ruang vektor | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:1380a46e-af5b-5a3f-a806-1fe3948ac028 |
| constant sequence | barisan konstan | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:140aabe4-0db2-53b4-ae60-757ae891bf96 |
| mapping | pemetaan | peta | — | R006Alasan dan buktiUse pemetaan for the object/process and peta where the shorter noun is idiomatic. R006 ch-vol1-intro.tex urn:uuid:142ba2a5-cb97-5fa5-be7b-23fad32bcd8d |
| quotient | hasil bagi | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:143b7115-be9d-50b8-b543-1d80360101b3 |
| trigonometric polynomial | polinom trigonometri | — | — | R006Alasan dan buktiFinite trigonometric sum; on the unit circle it is a finite Laurent polynomial in z R006 ch-approximate.tex raw lines 4218-4237; the frozen source gives equivalent sine-cosine and finite complex-exponential forms urn:uuid:14414dc8-c5c9-5d69-bacd-374b5ce4ab37 |
| half-open interval | interval setengah terbuka | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:15446605-c33e-5c2d-a158-4bbbd5cadc82 |
| identically one | identik satu | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:157e63bb-d2b0-5d92-b82f-b56ae78c4feb |
| standard basis vector | vektor basis standar | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:15b6c727-3afc-5e42-9830-456468b3cb7d |
| phase portrait | potret fase | — | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 70-104 urn:uuid:16311f09-dc22-533f-bdc2-eacd541fc6d9 |
| closed interval | interval tertutup | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:174d95b3-0c64-5f32-8461-c2022dcfdeee |
| connected space | ruang terhubung | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:177dde95-f6ef-5220-943a-9666bb22fa65 |
| trichotomy | trikotomi | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:17937ee8-ada7-5fd2-af91-ef8673e4e744 |
| upper Darboux integral | integral Darboux atas | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:1887752f-15ac-5367-a41b-b9971d1b3c66 |
| best approximation | aproksimasi terbaik | — | — | R006Alasan dan buktiUse aproksimasi terbaik for minimization of L2 error over coefficients in the same finite orthonormal span R006 ch-approximate.tex raw lines 4713-4803; the theorem characterizes partial Fourier sums as L2-best approximants in the same finite orthonormal span urn:uuid:19529eb0-c2d2-516c-8cdd-a542fa5caa29 |
| unit disc | cakram satuan | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1760-1766 urn:uuid:19bc4a8f-b400-52e4-ae04-03e3d0f8cce5 |
| upper triangular matrix | matriks segitiga atas | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:1a1d5f41-ecc2-50b0-8fb6-b16125bc9e43 |
| vector subspace | subruang vektor | subruang | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:1a51b0eb-9227-5e86-a673-c55b058f318e |
| Riemann integral | integral Riemann | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:1a6b5c3a-9f20-53a5-a76a-062bae76d628 |
| open mapping | pemetaan terbuka | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:1a740df4-08fe-57b2-acd9-57f61d34f2a4 |
| base case | kasus dasar | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:1af9c7a3-04a4-5896-b423-2fd86c2847e8 |
| complex algebra | aljabar kompleks | aljabar atas $\C$ | — | R006Alasan dan buktiKeep the field-explicit variant when the scalar field matters in a claim R006 ch-approximate.tex raw lines 3541-3555; source defines the scalar field explicitly urn:uuid:1b89669f-fa11-5dad-8394-3b6f8051547c |
| tangent function | fungsi tangen | tangen | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2225-2238 urn:uuid:1bca03eb-ef6e-5de2-bf17-92a74ba057d3 |
| closed relative to | tertutup relatif terhadap | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1598-1626; explicit rigor clarification LEBL-ID-ADV-0227 urn:uuid:1bf11379-db12-5214-aac8-76bd8f08e5a7 |
| chain rule | aturan rantai | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:1c3f902c-afff-5dc1-85ca-eb4283824239 |
| recursively defined sequence | barisan yang didefinisikan secara rekursif | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:1c71e50a-da29-50ad-86de-c2eed1fe0388 |
| corner | sudut | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:1c9eed17-68f7-56ec-8649-890778794810 |
| permutation | permutasi | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:1cbd0b5c-f479-5f99-814b-01da0b478871 |
| reverse orientation | membalik orientasi | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:1cdc80e2-ab76-57c5-b351-07c8d4937f72 |
| bounded interval | interval terbatas | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:1cf89d4a-8714-5261-8bf6-2128d93b5033 |
| source | sumber | — | pemancar | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 550-654 urn:uuid:1d28a381-6060-5196-9c4f-f97e083c6254 |
| one-to-one | injektif | satu-ke-satu | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:1d859d1c-1c9a-5ed0-b217-18d84ab9d31c |
| real analysis | analisis real | — | — | R006Alasan dan buktiR006 realanal.tex and ch-vol1-intro.tex urn:uuid:1db73992-5b59-5bf0-a104-a65210ba182f |
| circumference | keliling lingkaran | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2104-2111 urn:uuid:1e014bec-be29-579e-aec4-0f6ec91d0ada |
| complex polynomial | polinom kompleks | polinom dalam variabel kompleks | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2273-2279 urn:uuid:1eb3c228-786a-5940-9cc9-87a370f3b603 |
| Lipschitz condition | syarat Lipschitz | kondisi Lipschitz | — | R006Alasan dan buktiUse syarat for the stated sufficient hypothesis and retain the proper name Lipschitz R006 ch-approximate.tex raw lines 4982-4998; the pointwise bound controls the Fourier partial sums at the fixed point urn:uuid:1ebb4e61-fa03-5162-ac1c-5a456370e05d |
| polygonal chain | rantai poligonal | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:1f5b8bc6-04f7-5583-9261-7dbda2091142 |
| bijective mapping | pemetaan bijektif | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:1f8026c8-a15e-5552-a574-999b4229d431 |
| connected interval | interval terhubung | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:1fb87f24-984e-5dca-b23c-aa7830e1c68a |
| triangle inequality | ketaksamaan segitiga | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:1fbec07c-be1e-538b-9497-e42ac22da08c |
| matrix-valued function | fungsi bernilai matriks | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:203b1193-8f85-57bd-8800-a897abb77271 |
| integral test for series | uji integral untuk deret | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:20dfb735-e042-5b88-ac08-60804fa1a2a9 |
| bounded function | fungsi terbatas | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:21a1ee39-2065-513e-832f-e41d722fe007 |
| Dini theorem | teorema Dini | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:21c30823-9a50-5da1-ae5b-c4c5dbd1ade1 |
| oscillate | berosilasi | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:222f48e5-a7e6-5a98-961f-ae96bb25a0b8 |
| uniform equicontinuity | ekuikontinuitas seragam | — | — | R006Alasan dan buktiCompositional specialization of field-attested ekuikontinuitas and established seragam register R006 ch-approximate.tex raw lines 2661-2738; Indonesian field sources attest ekuikontinu and the lane consistently uses seragam for uniform notions urn:uuid:2244daaf-dc6d-549a-abce-3574bb6219bb |
| open neighborhood | lingkungan terbuka | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:22545a3e-91f1-53d4-bda1-dfe8c8ea9275 |
| decimal representation | representasi desimal | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:227affdf-a99f-5281-8561-89bd1d2cad62 |
| gradient | gradien | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:22f9ddff-4033-5336-91da-7c5a52741453 |
| alternating series | deret berselang-seling | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:2308bf3a-a3a5-5b16-b43b-48fa914b3503 |
| star-shaped domain | domain berbentuk bintang | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:230d0e16-8d30-5aef-a449-5b1f36767ac5 |
| column | kolom | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:2329aaa4-fa2f-5272-9a96-8d6ff11fe543 |
| second derivative | turunan kedua | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:23863771-113d-5083-8099-454558da4e88 |
| convergent | konvergen | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:247a24c8-087c-56c9-82d1-0dc74d41472e |
| element | elemen | anggota | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:24a03373-086f-53a7-b065-96e941d46a51 |
| Peano existence theorem | teorema eksistensi Peano | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:24d8d18b-4166-5373-9917-98d243c08e76 |
| almost linear | hampir linear | — | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 550-654 urn:uuid:24f83ccb-cbe8-5e12-b0df-29b501b5138a |
| subset | himpunan bagian | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:253f5c13-a415-5c99-8632-e9df11a15e92 |
| differential operator | operator diferensial | — | — | R006Alasan dan buktiOperator constructed from differentiation; keep distinct from a differential equation R006 ch-approximate.tex raw lines 4245-4258; standard Indonesian operator terminology and the displayed first and second derivatives urn:uuid:2593944e-5f71-56d6-a588-25fbd7a74701 |
| invertible linear transformation | transformasi linear invertibel | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:25f0b1cf-8bba-5e7b-954b-bab2c5082b52 |
| continuous extension | perluasan kontinu | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:25fb903b-2a2d-59bf-aaa9-3ea83e6cc031 |
| piecewise smooth reparametrization | reparametrisasi mulus sepotong-sepotong | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:2633b637-bc16-5725-a3b0-39c9b249d90f |
| path connected | terhubung lintasan | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:26a490cd-a439-5b8d-b809-ce84c7573e46 |
| Bernoulli's inequality | ketaksamaan Bernoulli | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:2751b4d4-50b3-572d-9476-39b5d268c0d8 |
| symmetric group | grup simetris | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:27d51352-baf7-51c1-becf-3a4f2e30396a |
| Jacobian | Jacobian | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:28d71dda-9c2e-5b76-812f-77e653321a1c |
| zero function | fungsi nol | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1686-1720 urn:uuid:28ee8856-0f6f-58dc-95a4-03493483657f |
| integrating factor | faktor integrasi | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:2936d55d-1bca-5913-ab8a-ef11dda87ed3 |
| great circle distance | jarak lingkaran besar | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:29c3f791-ab72-5e5d-abb9-d59ba36902fd |
| several variables | beberapa variabel | multivariabel | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:29d68eca-ddc8-54a6-8fcb-81159eeee8e3 |
| independent variable | variabel independen | peubah bebas | — | R007Alasan dan buktiUse variabel independen consistently in the engineering ODE register R007 ch-first-order-ode.tex raw lines 121-148; the warning concerns informal differential manipulation when more than one independent variable occurs urn:uuid:29e2fc0f-b3c5-5203-a4ca-bb640fe75657 |
| piecewise smooth boundary | batas mulus sepotong-sepotong | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:29f5280a-b2a5-5b9f-a40c-130827eedf12 |
| continuous piecewise smooth | kontinu dan mulus sepotong-sepotong | mulus bagian demi bagian yang kontinu | — | R006Alasan dan buktiKeep both requirements explicit because piecewise smooth alone does not necessarily imply continuity across breakpoints R006 ch-approximate.tex raw lines 5000-5023; the source requires global continuity and continuous differentiability on each closed subinterval up to endpoints urn:uuid:29f9e144-58b1-5b91-b409-3643ef1646e1 |
| Fourier sine transform | transformasi sinus Fourier | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:2a321e55-b63d-5ca5-ba6d-d573a9ce09e6 |
| totally bounded | terbatas total | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:2aa6ee9f-37c8-52fd-a226-70d8827bc7d1 |
| injective | injektif | satu-ke-satu | — | R006Alasan dan buktiR006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 pp. 10-11 urn:uuid:2ac05db9-f6f0-514e-9bf0-a14b097ef2b8 |
| affine function | fungsi afin | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:2ad2c66c-1410-5454-80d6-39eb3475f863 |
| rate of convergence | laju konvergensi | kecepatan konvergensi | — | R006Alasan dan buktiUse laju konvergensi for the mathematical rate and keep it distinct from the fact of convergence itself R006 ch-approximate.tex raw lines 5098-5130; the locality discussion contrasts pointwise dependence on nearby values with globally controlled convergence speed urn:uuid:2aec874a-d4bb-58ca-a3f7-c8d38a4a4907 |
| subsequential limit | limit subbarisan | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:2b2d73ae-2378-5325-90b7-c16685cb2d37 |
| transitive | transitif | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:2be63f1c-0f68-56cf-be11-a16455447e88 |
| finite set | himpunan berhingga | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:2c229033-b310-5d59-a301-833bc4720352 |
| subrectangle | subpersegi panjang | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:2c2b2954-4f1b-57d4-a87b-212462bcf137 |
| Cartesian product | hasil kali Kartesius | produk Kartesius | hasil kali silang | R006Alasan dan buktiField usage favors hasil kali Kartesius; hasil kali silang is attested but rejected here because it collides with vector cross product. R006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 p. 6; Soffi Widyanesti Priwantoro Dasar-dasar Matematika Diskrit dan Graf UAD Press 2020 Definisi 3.D.1 printed p. 30 / PDF p. 39 urn:uuid:2cac5422-578a-500c-98f4-8d6d8c10c230 |
| equilibrium | kesetimbangan | titik kesetimbangan | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 160-248 urn:uuid:2cce3524-8f17-5969-b107-c4a09e8e09f5 |
| image | citra | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:2cf113f7-4d05-59ad-9812-9e5fdf00038d |
| trigonometric identity | identitas trigonometri | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2171-2183 urn:uuid:2cf5ebfd-1a86-579b-8920-567baa675eaa |
| subscript notation | notasi subskrip | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:2cfcadee-9ae6-53f7-9bef-72ae31f9d5ec |
| Arzela--Ascoli theorem | teorema Arzelà--Ascoli | — | — | R006Alasan dan buktiPreserve the source TeX accent spelling in TeX identifiers while using the Unicode form in metadata R006 ch-approximate.tex raw lines 2764-2872; Sufri Cara Lain Pembuktian Teorema Arzela-Ascoli Jurnal Sainmatika UNJA urn:uuid:2d007b1c-cd62-5f2f-aad8-6850118b112e |
| level set | himpunan level | himpunan aras | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:2d188481-e54c-5207-8b05-68e321594c6c |
| differentiation under the integral sign | diferensiasi di bawah tanda integral | mendiferensialkan di bawah tanda integral | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:2d2f9e71-a69f-5313-a56d-61e6a494993f |
| one-sided limit | limit sepihak | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:2d8d942e-3440-5fa5-b333-f1a457f3ac02 |
| simple path | lintasan sederhana | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:2dac7cfe-2165-5e06-8afa-c0e1683b2a4a |
| Kronecker density theorem | teorema kepadatan Kronecker | teorema kerapatan Kronecker | — | R006Alasan dan buktiUse kepadatan in the theorem name while retaining the lane predicate rapat for dense R006 ch-approximate.tex raw lines 2947-3064; Indonesian real-analysis teaching sources attest teorema kepadatan and the source supplies the exact dense-circle statement urn:uuid:2dd024b8-2474-559f-b2a4-ef70deb800ee |
| block matrix form | bentuk matriks blok | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:2dd49820-28f2-5651-bbaa-46f33305fd99 |
| type III domain | domain tipe III | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:2e8b492d-2df1-5de7-9abe-b4f4a9a4c8dd |
| bounded above | terbatas di atas | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:2ea96b6a-0d95-5c32-a119-911c7042fa96 |
| Cauchy principal value | nilai utama Cauchy | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:2eb80822-941e-5246-a8eb-84daf71d50ea |
| Picard iteration | iterasi Picard | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:2ee2d34a-3b41-5f58-a1e5-5138104d38c8 |
| lower Darboux integral | integral Darboux bawah | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:2f7eac1a-4820-5871-9f3c-f0207079dc4b |
| partial derivative | turunan parsial | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:2fe76229-57ca-5746-8ee0-8ec04a45d999 |
| open set | himpunan terbuka | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:300777a9-e65c-559d-9403-8e0dbabfe098 |
| oscillate | berosilasi | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1802-1813 urn:uuid:30f3ba8d-c75e-52c4-91c0-aa328bf92607 |
| step function | fungsi tangga | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:31164515-f75f-5c11-93e6-9019328ea71d |
| spiral source | sumber spiral | — | spiral pemancar | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 550-654 urn:uuid:31a275c6-eae2-51ea-961c-e6e2298aa7a1 |
| Lagrange form | bentuk Lagrange | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:31b1c3e7-5e92-56cd-8d9f-3ee24719a3c1 |
| inequality | ketaksamaan | pertidaksamaan | — | R006;R008Alasan dan buktiUse ketaksamaan for named inequalities and the abstract relation; pertidaksamaan remains acceptable when referring contextually to a displayed comparison or a problem to solve. R006/R008 translated corpus; Usmadi, Analisis Real (Bahan Ajar), Universitas Muhammadiyah Sumatera Barat, 2020, PDF pp. 5-12 and 40 urn:uuid:324a7a43-7e35-50d2-a410-600fb98ae27c |
| Picard iterate | iterat Picard | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:32927c38-e5d0-501f-a5c8-130c9dfa92b9 |
| inner integral | integral bagian dalam | integral dalam | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:32b10ebb-13c7-5c4b-8acc-f6e7141238b6 |
| quotient rule | aturan hasil bagi | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:33033851-f7e6-5497-b1fc-da7157c6cc30 |
| linearity of the integral | linearitas integral | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:33238e7a-5a06-5a8c-bdc2-792d81970ffc |
| sequential limit | limit sekuensial | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:33644870-eebf-5fdb-82db-5cb56684d9ce |
| Euclidean norm | norma Euklides | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:336568ed-4c35-520a-abeb-12c044735254 |
| limit superior | limit superior | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:3382ace7-267c-5c23-a42a-778908dd7757 |
| common denominator | penyebut bersama | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:33872702-4843-5b55-b3ee-1b832601f193 |
| ordered field | lapangan terurut | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:338bbd3c-a6f1-521c-aa10-5b823eb620c1 |
| distance function | fungsi jarak | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:338da77c-ac41-5893-8930-18a144475a4b |
| absolute value | nilai mutlak | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:342bde32-d599-53b4-9454-897e41ffe2d1 |
| critical point | titik kritis | — | — | R006;R007Alasan dan buktiR006 ch-several-vars-ders.tex; R007 ch-nonlin-systems.tex raw lines 160-248 urn:uuid:34490a42-90b1-530f-832e-fd2d1ab1c285 |
| Lebesgue--Vitali theorem | teorema Lebesgue--Vitali | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:34568a29-44c7-54c8-bc59-9931a9774e69 |
| partial differential equation | persamaan diferensial parsial | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:35001756-0900-524e-92db-4bd8d5123706 |
| horizontal line | garis horizontal | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:35057ae3-b592-50a0-968e-53bdcafb1d3b |
| relative minimum | minimum relatif | minimum lokal | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:35124fd3-6925-5e12-8f98-f1e0caa84a7b |
| polynomial growth at infinity | pertumbuhan polinom di tak hingga | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2376-2431 urn:uuid:351d76c7-16a0-5f29-9508-c2ddeefee4c9 |
| pointwise convergence | konvergensi titik demi titik | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:351dd54c-b843-5ae6-bad5-5bd787ea516b |
| arithmetic-geometric mean inequality | ketaksamaan rata-rata aritmetika-geometrik | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:356f28ae-35dc-54c6-a812-ded643af01e8 |
| Riemann integrable on S | terintegralkan secara Riemann pada $S$ | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:356f6add-cfb8-5761-b084-f118b5f14030 |
| axiom | aksioma | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:3632bbab-7269-57e9-a6be-ccba771b2013 |
| polar coordinates | koordinat polar | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:37c8581b-ae88-52c8-8863-91a7a5767dfa |
| open ball | bola terbuka | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:381970aa-4718-5247-936e-d66ed3c29428 |
| even function | fungsi genap | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:3832a451-ef84-513c-b9ec-ab2fe6b5ed9b |
| piecewise continuously differentiable path | lintasan diferensiabel secara kontinu sepotong-sepotong | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:3844ab43-01c6-5c29-91a9-e7d54e49becf |
| outer measure | ukuran luar | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex; standard Indonesian measure-theory usage urn:uuid:38d1e7ec-8f66-5301-8427-b4247bfa8ee6 |
| closed rectangle | persegi panjang tertutup | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:38e68ab5-40d1-5c3c-9d21-a725576302d7 |
| infinite limit | limit tak hingga | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:38f1a4f3-ac80-5269-b791-a3c060035cc1 |
| eigenvalue | nilai eigen | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:390fb8a0-a5a9-5b34-8b3e-52ae4b351275 |
| complex modulus | modulus kompleks | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:39385c61-31b6-5651-99c7-bf73d1ed728b |
| solve for y in terms of x | menyelesaikan terhadap y sebagai fungsi dari x | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:39980d53-ddec-5511-bef9-6bf1b497dd54 |
| mean value theorem | teorema nilai rata-rata | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:3a9f6271-7f7b-546e-aa2d-19ae9e77e604 |
| pointwise maximum | maksimum titik demi titik | maksimum fungsi secara titik demi titik | — | R006Alasan dan buktiUse for the function obtained by taking the maximum of finitely many function values at every point R006 ch-approximate.tex raw lines 3715-3736; the source defines the binary maximum function by evaluation at each x urn:uuid:3aa46669-fd08-594b-886b-52724f232a2b |
| root test | uji akar | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:3c519971-27cc-5549-b5ba-587df320b767 |
| absolute maximum | maksimum mutlak | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:3c54038f-cb48-570e-9142-88a8ee06621c |
| vector | vektor | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:3cde77b1-0310-593a-9057-c307d9b86497 |
| Fourier coefficient | koefisien Fourier | — | — | R006Alasan dan buktiCoefficient indexed over all integers; its integral recovery formula begins in the next source unit R006 ch-approximate.tex raw lines 4363-4396; the source names c_n as coefficients of the complex-exponential Fourier series urn:uuid:3dd27aa6-1c19-56c3-82a4-06559f215fe1 |
| odd function | fungsi ganjil | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:3e4a049c-01d1-5987-b4e0-2d3c451a58ec |
| linear differential equation | persamaan diferensial linear | persamaan diferensial linier | — | R006;R007Alasan dan buktiPrefer linear consistently with the lane and qualify homogeneous constant-coefficient cases where the mathematical claim requires it R006 ch-approximate.tex raw lines 3392-3397; existing R006 and R007 differential-equation register urn:uuid:3ed92320-9b19-584b-9f4b-adb02d78014e |
| extreme value theorem | teorema nilai ekstrem | teorema minimum-maksimum; teorema maksimum-minimum | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:3ee4e936-68f9-525b-83cb-fcbf768f76aa |
| order of integration | urutan pengintegralan | urutan integrasi | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:3fb30087-2f62-567e-84e8-9c3003097ba5 |
| monotone function | fungsi monoton | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:4044c440-0f49-5a2d-a8ae-62d2e93b4792 |
| derivative | turunan | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:407a57dd-145c-5bb1-8268-7d54a76ee757 |
| equivalence relation | relasi ekuivalensi | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:40a69357-b406-5378-a490-c0b9a745eb09 |
| radial mapping | pemetaan radial | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:40c0016e-d56e-55bc-87d2-74bc1eb9082a |
| arc-length parametrization | parametrisasi panjang busur | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:410dd29c-84d7-5c49-bdc7-7c8440b51e1c |
| composition of functions | komposisi fungsi | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:413c133b-b604-544d-b484-c4afc9bcbb8e |
| trajectory | lintasan | — | trajektori | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 70-104 urn:uuid:41ed8754-80fb-5e06-a034-582bb914cc6b |
| difference quotient | hasil bagi selisih | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:42275bcd-6310-5480-915d-7ccc19df729f |
| divergent | divergen | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:427a69ac-bb28-5331-8fb2-ce443a6deddb |
| monotone convergence theorem | teorema konvergensi monoton | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:42f565fc-b8cb-51fa-abbe-f90b5e4cda2c |
| Bolzano intermediate value theorem | teorema nilai antara Bolzano | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:438010de-55a1-5a30-8c81-3633af404f34 |
| integral p-test | uji-$p$ untuk integral | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:4433618c-ae7f-5463-b9e2-95794951a84c |
| Cesaro summability | keterjumlahan Cesaro | — | — | R006Alasan dan buktiTeX source retains the grave-accented proper name form in index markup R006 ch-seq-ser.tex urn:uuid:447c6c5d-b560-5426-a2f6-8dd5e9ef2d1b |
| monotone increasing sequence | barisan monoton naik | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:44875d0a-c1a3-5dde-8472-a69f222c41a4 |
| length | panjang | panjang kurva | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:46684ed1-954f-5308-9be0-d6b68a6c19e0 |
| span | rentang | merentang | — | R006Alasan dan buktiUse rentang as the noun and merentang as the verb; distinguish from function range. R006 ch-several-vars-ders.tex urn:uuid:46d2f16d-8fbc-5cd2-b525-e3812c9203ec |
| p-series | deret-p | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:4702709c-2c5a-5a7b-87cf-43ac32fc238e |
| higher-order derivative | turunan berorde lebih tinggi | turunan tingkat tinggi | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:4735180b-cc85-501d-bad6-809c289fa400 |
| continuity of algebraic operations | kekontinuan operasi aljabar | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:47b77fc3-a70e-596c-ae2c-39325fbd785e |
| contraction mapping principle | prinsip pemetaan kontraksi | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:48327155-473c-525c-8eea-ad3cc3fc6ea8 |
| second derivative test | uji turunan kedua | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:48c8630e-bd10-5adc-9b05-b70702194cf7 |
| constant mapping | pemetaan konstan | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:48c9fb5f-3a91-5d56-b936-8ec99907a840 |
| complex Stone--Weierstrass theorem | teorema Stone--Weierstrass versi kompleks | teorema Stone--Weierstrass kompleks | — | R006Alasan dan buktiKeep distinct from the real version in LEBL-TERM-0749 R006 ch-approximate.tex raw lines 3919-3963; theorem title and complex-valued self-adjoint hypotheses in the frozen source urn:uuid:48d46747-c938-56ff-9167-9b388efba472 |
| dimension | dimensi | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:4958af93-562d-5c3f-8461-ccff28e34239 |
| interchange the order of partial differentiation | menukar urutan diferensiasi parsial | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:4a2be7ac-dd44-5bc5-b2bd-9060b50791ad |
| coefficient | koefisien | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1303-1309 urn:uuid:4a896ece-97e8-5ab7-b770-557f84f1cd4e |
| isolated singularity | singularitas terisolasi | titik singular terisolasi | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2476-2535 urn:uuid:4a97e97e-1238-564d-ab5d-529fb610c147 |
| evaluation function | fungsi evaluasi | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:4b6386c7-faa4-5e64-a24a-167e1e45647a |
| generalized binomial coefficient | koefisien binomial umum | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1730-1752 urn:uuid:4bd26779-34f3-55a6-8412-af3773f23ef7 |
| closed ball | bola tertutup | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:4c0a5a8b-7b59-5177-8434-b16689f11fc1 |
| Cauchy product | hasil kali Cauchy | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:4c0c1a2c-685c-5bc7-aa66-2435f2726c77 |
| extended real numbers | bilangan real diperluas | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:4c86ab43-3d2f-593a-978f-550850e07842 |
| countable union | gabungan terhitung | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:4cfce4a7-4d8b-5bdc-b698-1755fbe4e5e7 |
| greatest lower bound | batas bawah terbesar | infimum | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:4d1b8e0c-9189-5b93-a52b-7d06ca2e5db5 |
| local inverse | invers lokal | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:4d57811b-a34e-5e7d-9376-5e3a8a714ad2 |
| determinant | determinan | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:4d9e7323-db40-5b1c-bb4b-a5cc5f7b5964 |
| surjection | surjeksi | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:4dc10eb5-39ad-50cf-a5d3-531093d7d88c |
| strictly increasing | naik tegas | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:4dc268f5-8200-5b65-bcf9-f45cf33f1e56 |
| Cauchy sequence | barisan Cauchy | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:4e122a75-fe96-57cb-a3a4-7d0db53f4d43 |
| finitely many discontinuities | berhingga banyak diskontinuitas | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:4e8d9c54-3aab-5109-be85-4c0199179a13 |
| Jacobian conjecture | konjektur Jacobian | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:4f4ad4e5-1aad-5860-be6e-5a8594e1baf3 |
| strictly monotone function | fungsi monoton tegas | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:4f557f41-6652-54a0-bcba-084276a53de8 |
| series | deret | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:4f5d04fe-17c6-5e1c-8aa3-5c8beae41316 |
| real exponential | eksponensial real | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1801-1825 urn:uuid:4f72407e-cd46-5059-8a80-e43f30169558 |
| regular curve | kurva reguler | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:4fd4f156-0d6a-53b1-9a36-6cd1bb2eb2ce |
| algebra | aljabar | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:4fe98911-a101-5572-8f1c-d3981338d7dc |
| singleton | himpunan beranggota tunggal | himpunan satu elemen | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:501b121b-76f9-56e1-bcb0-8b81c743198d |
| rotation | rotasi | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1505-1508 urn:uuid:508e1c67-5ca2-5abb-9b0f-a625f004aa84 |
| relative maximum | maksimum relatif | maksimum lokal | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:50e4855b-ea23-5300-b07c-9d2de8cac6ce |
| arctan | fungsi invers tangen | arktangen; arctan | tangen resiprokal | R006Alasan dan buktiPreferred prose makes the inverse-function meaning explicit while retaining the standard operator as a search variant R006 ch-approximate.tex raw lines 2229-2255 urn:uuid:519ff499-5266-5426-963e-55ce1e1e4bdc |
| Jordan measurable | terukur Jordan | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:51a022cb-a576-531b-8e35-48e5b1b22820 |
| Picard theorem | teorema Picard | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:520172e7-8292-5cf7-a666-c9c9168f03a3 |
| uniformly continuous | kontinu seragam | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:52336178-5bb5-58e8-8b81-df9079f05b4a |
| infinitely differentiable | diferensiabel tak berhingga kali | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:5290553f-ec9e-5a62-ada9-296260d682f5 |
| sink | serapan | — | penyerap | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 550-654 urn:uuid:52a151ab-e2fb-5898-bc67-e702bf787a40 |
| orientation of traversal | orientasi penelusuran | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:53a37366-192d-5de5-b585-3c0b08587fd2 |
| Bolzano--Weierstrass theorem | teorema Bolzano--Weierstrass | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:53e46372-4d05-5246-bc71-2dbaf4b2c6d7 |
| weighted average | rata-rata berbobot | rata-rata tertimbang | — | R006Alasan dan buktiPrefer the directly attested compact mathematical phrase R006 ch-approximate.tex raw lines 3137-3390; Universitas Katolik Parahyangan mathematics repository repeatedly attests rata-rata berbobot urn:uuid:53fa2c4c-1ce4-5aab-bb6e-e4068cb5d88f |
| neighborhood | lingkungan | persekitaran; kitaran | — | R006;R008Alasan dan buktiThe field source explicitly defines persekitaran-epsilon and notes kitaran as a synonym; lingkungan remains preferred for internal consistency and broad Indonesian mathematical usage. R006/R008 translated corpus; Usmadi, Analisis Real (Bahan Ajar), Universitas Muhammadiyah Sumatera Barat, 2020, PDF p. 13 urn:uuid:54d1a801-48c2-5b7c-862d-8d33eaef0b8e |
| popcorn function | fungsi popcorn | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:54e21443-8d6f-5e01-9497-65e4f24716d4 |
| disconnected set | himpunan tak terhubung | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:557199ac-b3b1-5a39-a0f4-6a5470bc1c90 |
| convolution | konvolusi | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:55bb9e4a-094b-5b93-bbd6-ccb69cfcb3d0 |
| tangent line | garis singgung | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:560aa0e0-591e-5bc1-a91c-8b98b7ff0dbf |
| complex conjugate | konjugat kompleks | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 83-88 urn:uuid:56a5df91-ba0a-50ef-a201-fbf0d5cdaf97 |
| interpolate | menginterpolasi | melakukan interpolasi | — | R006Alasan dan buktiUse for exact matching of prescribed function values at selected points R006 ch-approximate.tex raw lines 3632-3670; established Indonesian numerical-analysis register urn:uuid:5707abf2-1091-5501-8768-4d4eab4d3734 |
| integers | bilangan bulat | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:572e66a0-e8b1-53fa-9846-96ce12f2c6ea |
| base b | basis b | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:572eb03d-9b1c-5d24-948c-6965f89d6569 |
| bijective | bijektif | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 p. 11 urn:uuid:57421292-d439-5eca-a06a-b2d3c8fd5891 |
| spiral sink | serapan spiral | — | spiral penyerap | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 550-654 urn:uuid:576ed7d0-941f-5513-bcc0-ca462487da25 |
| partial derivative of order k | turunan parsial orde k | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:58470e5c-27ed-54c4-98b9-5ec1974d95a4 |
| vertical line | garis vertikal | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:59bf5d58-ef12-5705-9723-80601265a59d |
| term-by-term differentiation | diferensiasi suku demi suku | mendiferensialkan suku demi suku | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1258-1273 urn:uuid:59f04615-9599-5f1c-bfd6-92d4b949c992 |
| relatively compact | relatif kompak | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:5a053af9-277c-56fb-a783-585f69c257b5 |
| lemma | lema | — | — | R006Alasan dan buktiR006 realanal.tex and ch-vol1-intro.tex urn:uuid:5a0a3582-89fa-5dfe-8733-b990bc1e911f |
| real part | bagian real | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 72-81 urn:uuid:5a19974c-49f4-5e5e-aa88-5ece6e85b92b |
| open rectangle | persegi panjang terbuka | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:5a284a8c-4f7e-57d4-8367-c26524226e96 |
| equicontinuity | ekuikontinuitas | ekikontinuitas | — | R006Alasan dan buktiUse ekuikontinuitas as the noun and ekuikontinu as the adjective; Indonesian field usage directly attests ekuikontinu R006 ch-approximate.tex raw lines 2543-2617; Sufri Cara Lain Pembuktian Teorema Arzela-Ascoli Jurnal Sainmatika UNJA urn:uuid:5a8d3fa6-d909-554e-add6-feb563137bc9 |
| basis | basis | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:5ab8c8e3-f1ac-5186-bdc2-59c68d9f692b |
| continuously differentiable | diferensiabel secara kontinu | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:5acf1744-e791-5f29-b7d6-444e9b676a14 |
| real vector space | ruang vektor real | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:5b477002-9884-55c4-9b09-7db80c17dd77 |
| intersection | irisan | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:5b5ab1c2-74dc-57ac-a92c-a0a6df07a427 |
| irrational | irasional | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:5bb3c627-186f-577c-a10c-1c8522df5c18 |
| path integral of a one-form | integral lintasan bentuk-1 | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:5c4d483a-04ca-512b-945e-264315c4d0f6 |
| differentiable | diferensiabel | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:5d802a87-1a2a-527e-b8fb-7694fa061032 |
| power series representation | representasi deret pangkat | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1223-1234 urn:uuid:5e932559-ced8-55a1-8840-95736ab5b853 |
| algebraic operations | operasi aljabar | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:5fb497e9-e140-5b82-9ebb-15905abc620a |
| conservative vector field | medan vektor konservatif | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:5fc85e38-59e6-5edf-8074-73835fe7beb3 |
| real direction | arah real | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1802-1805 urn:uuid:5ffbca74-0cd3-5d34-b617-48bb48e10542 |
| joint limit | limit bersama | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:606e9ddf-d727-5ef8-a040-503fb08c40b4 |
| cluster point | titik akumulasi | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:60e458d5-1c66-5f43-a7a1-0546a1a9b40f |
| proposition | proposisi | — | — | R006Alasan dan buktiR006 realanal.tex and ch-vol1-intro.tex urn:uuid:6106e5e9-a2e4-5ca5-906a-ac8b45699d68 |
| convex | konveks | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:6109a363-4e80-5718-afa1-d649701a315f |
| Leibniz rule | aturan Leibniz | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:6146104e-66b8-5fff-bd63-862ef905ff72 |
| real algebra | aljabar atas $\R$ | aljabar real | — | R006Alasan dan buktiPreferred wording makes the scalar field explicit. R006 ch-multivar-int.tex urn:uuid:61b23d02-2455-511c-b0c7-a820cc618fba |
| arc-length measure | ukuran panjang busur | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:61d60fa3-676e-59e5-b2fb-3bba1eb15fcb |
| first-order ordinary differential equation | persamaan diferensial biasa orde satu | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:62a96b85-bdf8-5c82-96cd-67c78e18dd81 |
| continuous function | fungsi kontinu | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:6316df19-afe2-5dee-a1e4-608e9653a766 |
| dense set | himpunan rapat | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:6342bd04-b9f9-52bd-beed-48e23c26f770 |
| arc length | panjang busur | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2099-2115 urn:uuid:634c201f-e20f-5d51-9399-c770c2b2fde1 |
| product rule | aturan hasil kali | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:637f2ab5-cfb6-5056-aa95-06eee711c04a |
| differentiation operator | operator diferensiasi | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:6385995b-d311-5eab-90d1-502f2f827798 |
| rational function | fungsi rasional | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:63d165d3-211e-5831-a9eb-49f41fe6ad32 |
| well-defined | terdefinisi dengan baik | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:641fe4d6-264c-515b-9dec-fe2121fef720 |
| generate an algebra | membangkitkan aljabar | aljabar yang dibangkitkan oleh fungsi-fungsi | — | R006Alasan dan buktiGenerated nonunital algebra here consists of real polynomials in the generators with no constant term R006 ch-approximate.tex raw lines 3876-3884; the source index entry names the construction and the surrounding paragraph defines it by finite products and linear combinations urn:uuid:64991942-03f9-5406-bfc8-f97bfd35de6e |
| set difference | selisih himpunan | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:6534b57d-507e-5a10-b07d-33cd3c88b79c |
| local inverse branch | cabang invers lokal | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:663454aa-f9ae-5037-ad3c-2a80c4e5b87c |
| orientation preserving reparametrization | reparametrisasi yang mempertahankan orientasi | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:663fe446-acc2-5ca1-97fb-0cb8b2103054 |
| Fourier transform | transformasi Fourier | — | — | R006Alasan dan buktiStandard proper-name modifier order; keep the transform concept distinct from the Fourier series itself R006 ch-approximate.tex raw lines 4400-4422; the source explicitly identifies the coefficient map as a type of Fourier transform urn:uuid:66828039-e22b-52b8-9eb1-e364c9f8ffd8 |
| nonpositive | nonpositif | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:66c32daa-2858-5093-9a87-59d8e84ac5a3 |
| power series | deret pangkat | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:66f5e2bc-8180-59d1-89e2-278aa4b0ffc7 |
| smooth curve | kurva mulus | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:671ee46b-8367-5906-8cd3-4e949172ff6b |
| column vector | vektor kolom | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:673291a9-360f-595f-b21d-b79632e4c451 |
| decimal digit | digit desimal | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:6753810b-dd0a-5891-9b04-7e642703c43a |
| comparison test | uji perbandingan | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:676ebcfd-142d-519a-9a28-f86fc6d6086d |
| jump discontinuity | diskontinuitas lompatan | diskontinuitas loncat | diskontinuitas lompat | R006Alasan dan buktiKeep distinct from a removable discontinuity; reuse the established limit sepihak term for the two lateral limits R006 ch-approximate.tex raw lines 4424-4537; diskontinuitas lompatan is attested in Indonesian university calculus texts while diskontinuitas loncat is an established variant urn:uuid:678b32fe-c3f0-5a36-a65b-035ee65f2b13 |
| commutative diagram | diagram komutatif | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:67b0e3a7-29be-5a6f-bb6e-8bd67164d3ce |
| Newton's method | metode Newton | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:67b55e59-986a-56b9-8b4b-1f649eba5392 |
| topology | topologi | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:67dcef05-e113-50c0-ad48-6cb732154d63 |
| integrability | keterintegralan | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:68190aa4-467b-5d06-ae94-dafe80f9243f |
| least upper bound | batas atas terkecil | supremum | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:6849a90b-2e82-5566-afdc-8161f5e65674 |
| open neighborhood | lingkungan terbuka | persekitaran terbuka | — | R006Alasan dan buktiRetain lingkungan for cross-volume consistency; persekitaran is strongly attested and recorded as a variant. R006 ch-metric.tex; Usmadi, Analisis Real (Bahan Ajar), Universitas Muhammadiyah Sumatera Barat, 2020, PDF pp. 13 and 23 urn:uuid:68a284ed-034f-51fd-91cd-b2c1366f3d83 |
| invertible operator | operator invertibel | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:68a95cbf-ba8b-510f-92aa-60ee810ebe97 |
| Riemann--Lebesgue theorem | teorema Riemann--Lebesgue | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:68d0572b-1e42-5591-8e7d-e74618199ed3 |
| unique representation | representasi unik | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:68d2615b-6846-5bfa-b3f5-fb656ce7a243 |
| Green's theorem | teorema Green | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:6a121dfd-b40e-5345-ab90-1c56fc20b5fc |
| union | gabungan | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:6c5437a0-735f-5ec6-840d-c0d2f2b6acc7 |
| Lipschitz continuous | kontinu Lipschitz | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:6d2afc83-ce1c-53d6-803d-13237543d4df |
| bisection method | metode biseksi | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:6d4e0460-ca2a-50cf-99ef-d780f48948aa |
| completeness property | sifat kelengkapan | sifat kelengkapan Dedekind | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:6d64501a-4a00-5f4f-af5f-7570607c997b |
| compact support | tumpuan kompak | dukungan kompak; bertumpuan kompak; berdukungan kompak | — | R006Alasan dan buktiThe adjective in current prose is bertumpuan kompak; the earlier admitted berdukungan kompak remains a valid variant R006 ch-multivar-int.tex and ch-one-dim-ints-sv.tex urn:uuid:6d739884-45d8-581c-ae40-5d480d1a4b7f |
| discontinuity | diskontinuitas | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:6e5a6775-21e4-5cd1-bcf9-bac5cdee1d53 |
| refinement of a partition | penghalusan partisi | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:6f297cbb-6279-5ffa-bd85-e43403983a59 |
| initial condition | syarat awal | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:6f93c5c8-10ce-557f-8709-6885e2174f58 |
| partial sum | jumlah parsial | jumlah-jumlah parsial | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:6fbd625c-b766-59c0-9535-8db6a7e9d9dd |
| element | elemen | anggota | — | R006Alasan dan buktiR006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 p. 2 urn:uuid:7014d2c3-bf11-532f-b853-186d2679fcc6 |
| restriction | pembatasan | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:7039911a-973e-514a-a519-b7a216940b1e |
| multiplication of series | perkalian deret | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:709b8784-49e7-5e13-bec1-d3f7aee7f6d8 |
| positively oriented | berorientasi positif | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:70f5971e-0c98-591f-9e26-1dc3b7e1c52c |
| directional derivative | turunan arah | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:718635bb-6f37-5941-bb26-b717b290ee31 |
| ordered set | himpunan terurut | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:71907072-1fd8-5e17-b52f-29f65b784ac9 |
| discrete metric | metrik diskret | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:71abf4e1-cd23-557a-aa95-81d38af69e18 |
| Leibniz notation | notasi Leibniz | notasi diferensial Leibniz | — | R007Alasan dan buktiRetain the proper name Leibniz and distinguish the notation from the Leibniz rule R007 ch-first-order-ode.tex raw lines 121-148; the indexed term introduces dy/dx notation before the inverse-function manipulation urn:uuid:731bae52-456a-532f-afbc-11b3b3820d3c |
| ternary expansion | ekspansi terner | representasi terner | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:732e9d42-1cd1-5b58-b865-b07bb424d7ea |
| unit sphere | permukaan bola satuan | bola satuan | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:73950d71-0858-5db5-bd16-4fb7c63c5dbc |
| Jacobian matrix | matriks Jacobian | — | — | R006;R007Alasan dan buktiR006 ch-several-vars-ders.tex; R007 ch-nonlin-systems.tex raw lines 160-248 urn:uuid:73b96317-6dc5-55f0-bc53-c4ef94cd1cfb |
| fundamental theorem of calculus | teorema dasar kalkulus | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:73fb7999-31c4-5d46-a686-a579eb672d34 |
| strange attractor | atraktor aneh | — | atraktor asing | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 2304-2354 urn:uuid:740162c3-c5e5-5720-a7b2-350e6adae24a |
| connected set | himpunan terhubung | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:742523f9-d320-50da-9a7c-9d5757f627e3 |
| real number | bilangan real | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:743b628c-74e3-59f2-9ba0-aa3de68bc57f |
| norm | norma | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:746acd25-7e97-5e85-b109-bbf9edd60e4c |
| decreasing | monoton turun | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:749a845d-d732-536d-94f8-685509736d14 |
| triangle inequality | ketaksamaan segitiga | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:74b47f8c-8fc3-5f74-86f3-08b9b974a4dd |
| orientation | orientasi | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:74dfdcc9-64c6-5bd4-a865-3a4cb1f2b517 |
| limit point | titik limit | titik akumulasi | — | R006Alasan dan buktiAlternate source name for cluster point; titik akumulasi remains the preferred main term R006 ch-approximate.tex raw lines 1581-1585 urn:uuid:74f8792b-f28a-5d38-8477-d8c7ecf498ab |
| ratio test for sequences | uji rasio untuk barisan | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:752c6954-a8f4-5291-88b7-e960fbd0a462 |
| analysis | analisis | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:75357f76-02d5-5f2e-9e97-dc9c65eaf5c3 |
| codomain | kodomain | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:757bfd20-2f62-5a82-9fe8-0d9df72921c7 |
| bounded above | terbatas di atas | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:759c6f9a-1890-57f3-b996-484f9e77738a |
| limit | limit | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:75d6df61-bb1b-53d0-81e0-5750927408ef |
| empty set | himpunan kosong | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:75e2a3eb-2262-5943-88de-36fcd9bac079 |
| complex root | akar kompleks | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw line 2272 urn:uuid:7635cb40-8f3d-51ae-b415-65e962822694 |
| zero extension | perluasan nol | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:76450f60-9905-574b-aec9-72ff4ed9c397 |
| real-valued | bernilai real | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1754-1758 urn:uuid:76461603-d504-5d48-aa92-24a09b71c261 |
| countable | terhitung | — | tercacah | R006Alasan dan buktiCanonicalized by LEBL-ID-DEC-0016 and reconfirmed by the 2026-08-22 field-usage QA. R006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 p. 1 and Definisi 1.10.1(ii) printed p. 1.42 / PDF p. 42; Indonesian university analysis sources urn:uuid:76b78193-9fda-5fd3-bb98-ac98e1c0f56b |
| basis statement | pernyataan dasar | kasus dasar | — | R006Alasan dan buktiSource specifically calls this a statement rather than a case. R006 ch-vol1-intro.tex urn:uuid:76c28612-bdf2-53a3-b243-6e49e0cacf71 |
| vanishes at no point | tidak nol di setiap titik | tidak pernah nol; tidak lenyap di titik mana pun | — | R006Alasan dan buktiQuantified family property: at each point some family member has nonzero value R006 ch-approximate.tex raw lines 3582-3626; Arta Ekayanti Generalisasi Teorema Aproksimasi Weierstrass in Fibonacci 4(2) directly attests tidak nol di setiap titik urn:uuid:77153e79-a40a-5182-9053-85de8dd5aa64 |
| complex plane | bidang kompleks | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 16-34 urn:uuid:7749497b-391f-5fb9-87c1-c77a48a97390 |
| Ck function | fungsi berkelas Ck | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:7757319b-2821-5daf-92c1-a9e604ab31d3 |
| range of a sequence | daerah hasil barisan | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:78058517-87d7-52a9-8892-4f404a14a5b8 |
| characteristic function | fungsi karakteristik | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:789fcdf9-41d1-59f6-bc2d-040adb293d96 |
| Taylor series | deret Taylor | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:791b2332-e520-55b1-a940-e2f259224d04 |
| phase diagram | diagram fase | — | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 70-104 urn:uuid:794f746e-06b6-5c17-b4a7-49d26ecdc691 |
| in lowest terms | dalam bentuk pecahan paling sederhana | bentuk paling sederhana | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:795d2bcf-7131-5850-9c44-12dc75f61c81 |
| symmetric partial sum | jumlah parsial simetris | — | — | R006Alasan dan buktiPreserve the symmetric index bounds; this is not an arbitrary one-sided partial sum R006 ch-approximate.tex raw lines 4363-4396; the source defines s_N by truncating the bilateral Fourier series from -N through N urn:uuid:79a189f5-8f60-5417-8707-7a63137e8d9c |
| nonpositive x-axis ray | sinar sumbu-x nonpositif | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:79a2650f-c2bd-544f-af5c-59bb4542bb2f |
| unit-speed parametrization | parametrisasi berkelajuan satu | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:79c602dc-414e-5c3e-b9bc-e28d145b4663 |
| strict relative minimum | minimum relatif ketat | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:7a795318-ceb6-550b-83bf-2dea470fdb0c |
| closed set | himpunan tertutup | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:7aab8c2a-5da2-542d-9796-56798067e8ac |
| locally invertible | invertibel secara lokal | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:7adcc827-c625-52e9-b187-0eab08301140 |
| nowhere continuous | tidak kontinu di setiap titik | tak kontinu di mana pun | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:7b1ae7a8-6938-5215-88d7-398e1b5b6f10 |
| eigenvector | vektor eigen | — | — | R006Alasan dan buktiMatrix or linear-operator vector associated with an eigenvalue R006 ch-approximate.tex raw lines 4245-4258; modifier order follows the admitted nilai eigen terminology urn:uuid:7b2c600a-c970-5b30-bd9c-d106b5dceaf8 |
| remainder | sisa | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:7b555cb9-17f6-55fa-a1de-e726eaabca37 |
| piecewise smooth curve | kurva mulus sepotong-sepotong | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2099-2102 urn:uuid:7be8f21f-c19e-5298-a613-24fc55df1e72 |
| cardinality | kardinalitas | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:7c119883-35c7-52ca-beba-9baa8da74d66 |
| formal series | deret formal | — | — | R006Alasan dan buktiDo not interpret the formal-series relation as approximate equality or as a convergence claim R006 ch-approximate.tex raw lines 4400-4422; the source stresses that the tilde creates a formal series without asserting equality or convergence urn:uuid:7ca3c67f-0493-5bb3-8222-487648f7b773 |
| odd permutation | permutasi ganjil | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:7cb84a41-5343-5e6f-9cfd-918a318eb4de |
| domain | domain | daerah asal; daerah definisi | — | R006Alasan dan buktiRetain the concise established loanword; record both attested explanatory variants. R006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 p. 10 urn:uuid:7cbc0d38-2e90-5447-9a8b-5dc3784889ef |
| pointwise bounded | terbatas titik demi titik | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2556-2617; Sufri Cara Lain Pembuktian Teorema Arzela-Ascoli Jurnal Sainmatika UNJA urn:uuid:7cdfda26-42a6-502d-996f-a5b04d5d98fd |
| infimum | infimum | batas bawah terbesar | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:7d2e684a-f490-55ed-a1b0-3703c22aba26 |
| piecewise smooth path | lintasan mulus sepotong-sepotong | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:7d48b95b-d9ab-5983-b710-d0d789a105f6 |
| orientation reversing reparametrization | reparametrisasi yang membalik orientasi | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:7db9a605-753b-551b-b8b7-8af1ce8a685a |
| increasing | monoton naik | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:7e2595bb-73d8-589b-b8cd-41b3a9400223 |
| middle third | sepertiga tengah | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:7e3d9450-6cf3-5d45-b8b5-6435cca3f5fb |
| subspace | subruang | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:7ed577fa-cfca-5e03-938c-ba0c9e924312 |
| regularity | regularitas | keteraturan | — | R006Alasan dan buktiUse regularitas for differentiability and smoothness properties rather than everyday keteraturan R006 ch-approximate.tex raw lines 4539-4566; the source relates function regularity to Fourier-coefficient decay urn:uuid:7f2331f0-aee1-5ae3-b725-2e4e894853f7 |
| uniform continuity | kekontinuan seragam | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:7f3390f3-48a1-5528-a3d9-8844bcf2858c |
| smooth reparametrization | reparametrisasi mulus | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:800835f8-34f5-5696-8e6b-720f195e4283 |
| lower Darboux sum | jumlah Darboux bawah | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:80197d86-5482-5a0b-94d2-15ee46b18b02 |
| sequence | barisan | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:8032b5e6-a2a5-5c8f-b960-c958488cade2 |
| polynomial mapping | pemetaan polinomial | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:80b0a9d4-3e64-5c27-84d3-21ce64871a05 |
| weak solution | solusi lemah | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:80e54e3d-96ce-5af0-8536-d77862a2ab63 |
| self-adjoint | self-adjoint | adjoint-diri | — | R006Alasan dan buktiFor a function algebra this means closure under pointwise complex conjugation R006 ch-approximate.tex raw lines 3910-3966; Indonesian mathematics publications from Universitas Terbuka UNY UNAND and ULM retain self-adjoint as the field term urn:uuid:82249211-48be-52de-ab38-1dc14b75db2f |
| zero map | pemetaan nol | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:823d8ace-a4a0-5de8-b125-e86d9d94dff2 |
| complex conjugation map | pemetaan konjugasi kompleks | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1959-1966; distinct from the value term LEBL-TERM-0623 urn:uuid:82619cad-77b3-5704-a945-9674e8c39c44 |
| seminorm | seminorma | — | — | R006Alasan dan buktiA nonzero function supported at one point has seminorm zero; the quotient carries the genuine L2 norm R006 ch-approximate.tex raw lines 4612-4711; ADV-0259 distinguishes the degenerate Riemann-function pairing from a genuine norm before quotienting by equality almost everywhere urn:uuid:826239eb-d7c4-55ba-b3d6-6baf917a9841 |
| unit ball | bola satuan | — | — | R006Alasan dan buktiDistinct from the unit sphere; the defining inequality is strict. R006 ch-several-vars-ders.tex urn:uuid:8279e179-b577-5caf-9cb5-c48010ce06ac |
| lower integral | integral bawah | integral Darboux bawah | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:82a016ec-1e02-5406-b51c-3a598189266c |
| period | periode | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1938-1945 and 2049-2072 urn:uuid:82b8bbe7-e98d-5b00-bc23-1484006939d8 |
| inverse function theorem | teorema fungsi invers | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:82c4c881-236d-5190-b866-07d7e551840e |
| function of class C1 | fungsi berkelas C1 | fungsi C1 | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:82cb4bb4-2f52-5dfe-b583-bc114b7775e1 |
| enumeration | enumerasi | — | — | R006Alasan dan buktiDirect formal definitional attestation. R006 ch-multivar-int.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 Definisi 1.10.1(i) printed p. 1.42 / PDF p. 42 urn:uuid:831b9f09-46f3-5873-a433-6da0c28310bf |
| nowhere differentiable | tidak diferensiabel di mana pun | tak diferensiabel di mana pun | tidak terdiferensialkan di mana pun | R006Alasan dan buktiUse the established adjective diferensiabel with an explicit global pointwise negation and keep it distinct from nowhere continuous R006 ch-approximate.tex raw lines 5292-5315; the exercise identifies the function as nowhere differentiable while explicitly excluding that assertion from the required proof urn:uuid:831e92c5-a19a-58bc-8ba0-9aff677c21a5 |
| infinite | tak berhingga | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:8374ca1c-59a3-5503-9e76-c4fd80d81f36 |
| euclidean space | ruang Euklides | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:83875123-ce4c-5797-8146-385e4f33f947 |
| periodic extension | perluasan periodik | — | — | R006Alasan dan buktiEndpoint values matter for continuity of the periodic extension even though changing one point does not affect the Fourier coefficients R006 ch-approximate.tex raw lines 4424-4537; the example explicitly includes endpoint continuity when extending functions from the base interval urn:uuid:83c397f5-88ff-55bd-91f3-9b8b41aa30fd |
| symmetric interval | interval simetris | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1444-1446 urn:uuid:83fc5d8e-be06-56a0-b181-7067977c2997 |
| localization | lokalisasi | — | — | R006Alasan dan buktiUse the established Indonesian mathematical loanword lokalisasi and preserve its pointwise analytic meaning R006 ch-approximate.tex raw lines 4982-5115; the subsection proves that Fourier-series convergence at a point depends only on local behavior near that point urn:uuid:848cf556-a09c-55b8-85a0-ff2e367c5e59 |
| swapping limits of series | pertukaran limit deret | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1350-1354 urn:uuid:84e72a55-8629-5649-8f11-ad3d46de0052 |
| sequence | barisan | — | — | R006;R007Alasan dan buktiR006 ch-seq-ser.tex; R007 ch-nonlin-systems.tex raw lines 2304-2354 urn:uuid:85959484-9806-5686-b82d-e3333ac35592 |
| center | pusat | — | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 767-878 urn:uuid:85b8f76a-18d1-5be4-8a46-beeff07218b4 |
| Banach fixed point theorem | teorema titik tetap Banach | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:86307d2f-2f63-5923-9aa4-d34ae7d61857 |
| open middle third | sepertiga tengah terbuka | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:865fd911-b653-5b4a-abe6-6cf8cfc296ab |
| negative | negatif | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:86e9e8da-7637-56fa-929e-2576fad505cc |
| matrix | matriks | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:876e27e5-eae8-52df-8fb4-d5db01f34dd1 |
| polynomial in several variables | polinom beberapa variabel | polinom multivariabel | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:877f29c8-7029-5ac2-803d-270e0ab23cdf |
| negatively oriented | berorientasi negatif | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:87f3ed4c-7716-55dd-92fb-5a311d234719 |
| almost everywhere | hampir di mana-mana | hampir di setiap titik | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:881d78bd-f234-5ad1-a97a-e80f845235a7 |
| disjoint | saling lepas | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:8829d3a6-118f-5270-a15f-9702fd4a3c49 |
| remainder term | suku sisa | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:8865990a-eacb-5ac5-8c42-585605d374a5 |
| reverse triangle inequality | ketaksamaan segitiga terbalik | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:887bb2ec-0740-54ea-a88f-2695b6de3b7d |
| differential equation | persamaan diferensial | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:88bab9b1-b43b-57e7-bc49-bb32aaf627b2 |
| sine | fungsi sinus | sinus | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1864-2096 urn:uuid:89388a32-b771-5133-9dbb-93e8000f4958 |
| uniform convergence | konvergensi seragam | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:8975e3c3-2b61-58e9-af3e-77a02b66acff |
| bounded below | terbatas di bawah | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:89c71989-db49-51bc-9102-fbbdf49fc556 |
| conservative equation | persamaan konservatif | — | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 767-878 urn:uuid:89de1c0e-9834-563d-a068-9f588db6e2e1 |
| integration by parts | integrasi parsial | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:8c54d4c4-749b-52f4-a2ff-8b7eeffd5708 |
| arcsin | fungsi invers sinus | arksinus; arcsin | sinus resiprokal | R006Alasan dan buktiPreferred prose makes the inverse-function meaning explicit while retaining the standard operator as a search variant R006 ch-approximate.tex raw lines 2229-2238 urn:uuid:8c5709bd-c70f-582d-a6fa-d45eee84f225 |
| bijection | bijeksi | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:8c7bec6d-ebdd-5c24-bf7c-3084c55f3bc2 |
| null set | himpunan nol | himpunan berukuran nol | — | R006Alasan dan buktiR006 ch-multivar-int.tex; standard Indonesian measure-theory usage urn:uuid:8ca38263-a267-52f8-87b9-85023ae3fa2d |
| intermediate function | fungsi perantara | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:8ca61d1b-ec6f-519c-829f-076bce961524 |
| Fubini theorem | teorema Fubini | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex; Indonesian university calculus materials urn:uuid:8d56703f-682f-55fc-be9d-e4fbb7502f34 |
| monotone sequence | barisan monoton | barisan monotonik | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:8e281877-bb42-5266-a3f1-55af6b0f2dde |
| injection | injeksi | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:8e45d469-6799-510b-8c08-acd8adc56e76 |
| counterexample | contoh tandingan | — | — | R006Alasan dan buktiUse for an example disproving a proposed implication or claim R006 ch-approximate.tex raw lines 3464-3468; established Indonesian mathematical register urn:uuid:8ea52a70-9b88-5664-855b-e4ee66f73e17 |
| linear combination | kombinasi linear | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:8f255716-483e-5e4c-a41d-2cf62a3eb128 |
| nth derivative | turunan ke-n | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:8f3e474e-fc4a-5db2-922e-b088a6583d91 |
| triangle inequality | ketaksamaan segitiga | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:8f85fa5a-b960-5b17-838c-0cb9dbff8346 |
| linearly dependent | bergantung linear | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:8fc3fc50-19d3-55cd-b2ee-8e80d508bafd |
| solve for y | menyelesaikan terhadap y | mencari y | — | R007Alasan dan buktiGeneralizes the compatible R006 phrase in LEBL-TERM-0458 while preserving the requested variable R007 ch-first-order-ode.tex raw lines 121-148; the final step algebraically inverts x(y) to recover y as the dependent variable urn:uuid:8ff277e9-7f8f-5482-8823-06d1977b071c |
| p-test | uji-p | uji deret-p | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:9042fa3c-150a-54ad-870f-f9c63483ebfb |
| maximum principle | prinsip maksimum | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:90700e58-92b5-5389-b4db-12e7a84a5647 |
| real polynomial | polinom real | polinom berkoefisien real; polinom dengan koefisien real | — | R006Alasan dan buktiIn this proof real polynomial means a polynomial with real coefficients R006 ch-approximate.tex raw lines 3392-3450; Indonesian mathematics texts directly attest polinom and polinomial dengan koefisien real urn:uuid:90adc7f3-ebfc-548d-b78a-63a98bb1ec66 |
| projection | proyeksi | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:90b8aa26-2eec-5480-a866-53e26ea9cfdc |
| pointwise minimum | minimum titik demi titik | minimum fungsi secara titik demi titik | — | R006Alasan dan buktiUse for the function obtained by taking the minimum of finitely many function values at every point R006 ch-approximate.tex raw lines 3715-3736; the source defines the binary minimum function by evaluation at each x urn:uuid:91c57ebb-5f1d-59bd-9e27-f1e3b3fb992c |
| limit comparison test | uji perbandingan limit | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:91f20e5b-f5b7-557a-a81d-03c19777b556 |
| countably infinite | tak berhingga terhitung | — | tak hingga tercacah | R006Alasan dan buktiCanonicalized by LEBL-ID-DEC-0016. R006 ch-vol1-intro.tex and Indonesian university analysis sources urn:uuid:921a3054-881b-59b3-b59b-601f0ae78b5d |
| winding number | bilangan putar | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:922a6373-9871-5d09-a1d1-7dd070f36e87 |
| preimage | prapeta | himpunan prapeta | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:922edab6-ff29-5c80-8a07-3c4bc95e7f81 |
| double sum | jumlah ganda | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1457-1472 urn:uuid:929d08c3-5c54-5f47-92e6-9ab1319bf26a |
| change of basis | perubahan basis | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:93e0b5cf-4d02-59da-a380-309dc07af62d |
| potential | potensial | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:9450e938-16d3-5008-83b3-537817f32ee5 |
| equivalence class | kelas ekuivalensi | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:95223dd1-700c-52ba-98cb-c5eff15b2971 |
| symmetric difference quotient | hasil bagi selisih simetris | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:95725dd0-ab7b-5da3-9c0e-158156a02bc4 |
| finite geometric sum formula | rumus jumlah geometri berhingga | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2240-2247 urn:uuid:9588cfa9-5ba8-50ef-a5bf-c00100f99ef2 |
| identity of indiscernibles | identitas unsur yang tak terbedakan | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:95c307e0-24dc-5e6c-b240-5d7185fcb0a8 |
| subspace metric | metrik subruang | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:9684d87b-4e81-53e4-8a68-379b668c0599 |
| smooth path | lintasan mulus | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:96a628c3-6998-5b6e-bd42-443134a3b607 |
| Bessel's inequality | ketaksamaan Bessel | pertidaksamaan Bessel | — | R006Alasan dan buktiFollow TERM-0626 and use ketaksamaan for named inequalities; retain the proper name Bessel R006 ch-approximate.tex raw lines 4805-4850; the finite orthonormal expansion yields the named square-summability bound urn:uuid:96e1e7d9-0a63-51b6-bfe2-d3a162ad31b1 |
| upper Darboux sum | jumlah Darboux atas | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:9710b115-bd1e-5546-93e2-f30c788f8e5c |
| radius of convergence | jari-jari konvergensi | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:971574c5-32b6-5cad-b8c0-2ac74b766632 |
| linear first-order differential equation | persamaan diferensial linear orde satu | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:9728b67a-3d69-58e4-a270-1f87a3f7d5a1 |
| natural logarithm | logaritma alami | logaritma natural | — | R006Alasan dan buktiR006 ch-riemann.tex and notations.tex urn:uuid:984f6308-e945-5774-b413-d71585fa42de |
| concatenate paths | menyambungkan lintasan | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:992366d2-c36f-55c1-8bbf-631763e4ec12 |
| fiber | serat | prapeta titik | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:993daa41-54df-58a8-91e0-3baa2c8fc9d2 |
| compact set | himpunan kompak | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:9977c455-dc88-53e6-b0ac-02a2d5a721ad |
| maximum | maksimum | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:99e177b4-ef32-5546-bdc7-7b4e75a2215d |
| subcover | subselimut | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:99f13aaa-c29b-5063-9d5f-56b3fb980a38 |
| Cartesian product | produk Kartesius | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:9b738c22-5577-5d8e-84c2-91a7528f786b |
| cosine | fungsi kosinus | kosinus | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1864-2096 urn:uuid:9ba15aea-cdfc-5952-8583-1728e9bfc495 |
| signed integral | integral bertanda | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:9bb52b2a-ca7a-5258-ba36-964432ff3e32 |
| Laurent series | deret Laurent | — | — | R006Alasan dan buktiAllows negative powers unlike an ordinary power series R006 ch-approximate.tex raw lines 4235-4241; standard proper-name modifier order consistent with Indonesian mathematical register urn:uuid:9bd186a3-838f-56e8-87be-8199599e86e7 |
| convergence test | uji konvergensi | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:9bef8395-8b41-5348-8218-c30b26a53a39 |
| n-dimensional volume | volume berdimensi n | volume n dimensi | — | R006Alasan dan buktiR006 ch-multivar-int.tex and notations.tex urn:uuid:9c0ebedd-42b2-5ace-9544-36efc4dd6af5 |
| onto | surjektif | memetakan pada | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:9c558521-85f6-5273-aeaf-bf3e82984c44 |
| smoothing | penghalusan | pelicinan | — | R006Alasan dan buktiSemantic ID distinguishes approximation smoothing from partition refinement R006 ch-approximate.tex raw lines 3137-3390; UNESA numerical-methods curriculum pairs aproksimasi dan penghalusan with smoothing urn:uuid:9c6bf7ad-e41a-511e-bf84-f85326304331 |
| isolated zero | titik nol terisolasi | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2466-2487 urn:uuid:9c6f4b92-de16-5a53-86d7-179f91e59f29 |
| iterated integral | integral berulang | integral iterasi | — | R006Alasan dan buktiR006 ch-multivar-int.tex; Indonesian university calculus materials urn:uuid:9d18f654-0e8b-59bb-939c-b99cc19d885a |
| convex combination | kombinasi konveks | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:9e15d01f-a36c-55ca-8056-a65965ff25f3 |
| work | usaha | kerja | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:9e301f4f-e9b4-537b-a521-c7f4ca4a3fc5 |
| Parseval's theorem | teorema Parseval | — | — | R006Alasan dan buktiRetain the proper name Parseval and use lowercase teorema in index entries R006 ch-approximate.tex raw lines 5132-5185; the theorem states L2 convergence and the Fourier coefficient inner-product identities urn:uuid:9e6b7d7d-1e53-53a1-9d42-36fd5256b3c7 |
| Cauchy series | deret Cauchy | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:9eb12450-8f8b-506c-9c36-7fd605b51cf8 |
| row | baris | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:9f10435e-1300-5a26-8247-67186ab1602a |
| force field | medan gaya | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:9f43f0ac-b217-5862-8afe-53a7ac163e53 |
| supremum norm | norma supremum | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:9f57c875-e008-5579-b622-c4df0caab871 |
| path integral of a function | integral lintasan suatu fungsi | integral lintasan skalar | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:9fb3df3b-5e3a-5704-a4d9-d372c8b83385 |
| two-sided approximation error | galat aproksimasi dua-sisi | galat dua-sisi | — | R006Alasan dan buktiUse when both upper and lower error bounds hold equivalently to an absolute-error estimate R006 ch-approximate.tex raw lines 3813-3861; Claim 4 combines upper and lower bounds into uniform absolute error urn:uuid:9ff7839c-018d-55b6-872f-41d7ccd8db75 |
| open cover | selimut terbuka | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:a0356dc5-d581-5be9-84f4-9616e63a68a7 |
| integrate with respect to | mengintegralkan terhadap | melakukan integrasi terhadap | — | R007Alasan dan buktiKeep the integration variable explicit and do not render with respect to as a spatial relation R007 ch-first-order-ode.tex raw lines 121-148; the method integrates 1/f(y) with y as the integration variable urn:uuid:a0461dcd-2d07-59d7-9828-b775abb02c51 |
| identically zero | identik nol | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:a05b19f9-ebf1-56cb-ae79-c9c630a016ae |
| periodic | periodik | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1938-1945 and 2041-2072 urn:uuid:a0fd9c0d-9bfe-5ac1-8c5f-8f73027608e3 |
| endpoint | titik ujung | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2240-2247 urn:uuid:a11c6012-921d-5d81-8ac1-995f6d49f5a3 |
| locally Lipschitz | Lipschitz lokal | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:a167a3f5-77eb-52b3-aa2c-9c71f6372ec1 |
| formal solution | solusi formal | penyelesaian formal | — | R006Alasan dan buktiUse solusi formal for an algebraic coefficientwise candidate and do not imply that convergence or the differential equation has already been justified R006 ch-approximate.tex raw lines 5358-5385; the exercise first derives a coefficientwise solution before convergence and termwise differentiation are justified urn:uuid:a1917ee0-27b9-53d3-bf58-7c1c86d27e1a |
| asymptotically stable | stabil asimtotik | stabil secara asimtotik | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 550-654 urn:uuid:a2189453-d42c-5cd0-b497-52414ca95381 |
| polynomial with rational coefficients | polinom berkoefisien rasional | polinom dengan koefisien rasional | — | R006Alasan dan buktiConcise attributive form in running proof prose R006 ch-approximate.tex raw lines 3392-3450; Indonesian university mathematics materials directly attest polinomial dengan koefisien rasional urn:uuid:a2ec3158-2693-522a-9bc8-248a823823e6 |
| symmetric set | himpunan simetris | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:a385d19b-9f21-5ee4-8ae7-b1088396558e |
| nonincreasing | tak menaik | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:a3bda879-5688-59cc-ae50-414c2854d1af |
| absolute value function | fungsi nilai mutlak | — | — | R006Alasan dan buktiDistinguish the function concept from the scalar absolute-value operation R006 ch-approximate.tex raw lines 3478-3485; compositional binding from established nilai mutlak and fungsi urn:uuid:a48b1247-d3a0-515d-ac81-dd1d6a2cf0cb |
| contraction mapping | pemetaan kontraksi | kontraksi; pemetaan kontraktif | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:a4e2f50d-2619-5f1e-8d58-dde30b853a80 |
| reverse triangle inequality | ketaksamaan segitiga terbalik | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:a4fb6cac-df52-5a17-95ce-87a13016870f |
| surface graph | grafik permukaan | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1807-1818 urn:uuid:a538b9ce-f61f-529c-9719-3b16f0d41685 |
| countably infinite | terhitung tak hingga | denumerabel; tak berhingga terhitung | tak hingga tercacah | R006Alasan dan buktiDirect bilingual definition supersedes the earlier word order; canonicalized by LEBL-ID-DEC-0028. R006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 Definisi 1.10.1(i) printed p. 1.42 / PDF p. 42 urn:uuid:a5a4f6a8-a5b3-56e4-88cb-f8b108a361cc |
| tangent vector | vektor singgung | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:a5a8a5ee-d1e4-5bfd-864e-1422d8a62023 |
| uniformly equicontinuous | ekuikontinu seragam | ekuikontinu secara seragam | — | R006Alasan dan buktiPrefer concise adjective phrase ekuikontinu seragam in running prose R006 ch-approximate.tex raw lines 2661-2738; Sufri Arzela-Ascoli field paper attests ekuikontinu; lane terminology uses kontinu seragam and konvergen seragam urn:uuid:a5bed436-6db3-564c-84b8-610dd492228a |
| complex number | bilangan kompleks | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 5-54 urn:uuid:a64959da-05df-59d9-b0cd-8f7c9860bb80 |
| diverges to infinity | divergen ke tak hingga | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:a6927635-ffc8-58d5-b263-2db819574ccf |
| induction hypothesis | hipotesis induksi | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:a6a66bae-6324-5b48-b045-5f12b923fbe4 |
| fundamental theorem of algebra | teorema dasar aljabar | teorema fundamental aljabar | — | R006Alasan dan buktiPreferred dasar follows the established R006 rendering teorema dasar kalkulus R006 ch-approximate.tex raw lines 2263-2272 urn:uuid:a7506976-8443-5632-b8e6-883fe73046a1 |
| non-strict inequality | ketaksamaan tak ketat | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:a7ce8cd2-5dbf-5b94-aa96-e27b7990f8f7 |
| proof | pembuktian | bukti | — | R006Alasan dan buktiUse pembuktian for the process and bukti for the resulting argument where context requires. R006 ch-vol1-intro.tex urn:uuid:a8785412-139f-5096-90c0-7b4405e4ec3c |
| sequence of functions | barisan fungsi | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1379-1380 urn:uuid:a8cced32-4282-5a26-a5ef-876778cd3fe6 |
| attractor | atraktor | — | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 2304-2354 urn:uuid:a8f812b2-3631-564c-8eaf-fd24eced36fe |
| disc | cakram | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:a915f692-a326-5e96-a8dd-e0925bf0b8eb |
| algebraic geometry | geometri aljabar | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:a95c40ab-45cf-5dcd-89fa-b253b616268c |
| mapping | pemetaan | peta | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:a9830a3d-9400-5dcf-b158-d12eef39f87e |
| spectral radius | radius spektral | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:a98cb44d-9deb-5223-94a5-0f2874610652 |
| double sequence | barisan ganda | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1357-1359 urn:uuid:a9b33767-26df-5484-bf5a-cf1d3d16f6a2 |
| minimum modulus principle | prinsip modulus minimum | prinsip minimum modulus | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2343-2349 urn:uuid:a9c1d462-2868-5be7-84f9-72b99c299628 |
| imaginary part | bagian imajiner | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 72-81 urn:uuid:a9de86e7-825b-5ccd-98f5-99847fe19121 |
| standard basis | basis standar | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:a9f9d98e-3e34-5f10-bb98-a462301e39a2 |
| Riemann integral over rectangles | integral Riemann pada persegi panjang | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:aa07f7aa-e4a0-599e-a481-82c09fe29f17 |
| existence and uniqueness theorem | teorema eksistensi dan ketunggalan | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:aa28376c-62a2-511f-b565-b7763dd42962 |
| measure zero | berukuran nol | ukuran nol | — | R006Alasan dan buktiR006 ch-multivar-int.tex; standard Indonesian measure-theory usage urn:uuid:ab131bb4-8329-57e5-a9a4-a51c0a1d48d2 |
| common partition | partisi bersama | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:ab14c2a6-392b-52e8-b32e-4b57bd906acd |
| region of convergence | daerah konvergensi | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1221-1227 urn:uuid:abe2fd9e-a300-5b5e-85f1-6c24fccc330e |
| Weierstrass approximation theorem | teorema aproksimasi Weierstrass | teorema pendekatan Weierstrass; teorema hampiran Weierstrass | — | R006Alasan dan buktiPrefer the field-attested aproksimasi name while retaining established Indonesian variants R006 ch-approximate.tex raw lines 3137-3390; ITB MA4031 bilingual curriculum maps the exact Indonesian phrase to Weierstrass Approximation Theorem; Aris et al. DOI 10.20956/jmsk.v11i2.3439 uses the same phrase urn:uuid:abe690b3-bd87-50ef-a9ac-3c21f1c7e27c |
| real numbers | bilangan real | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:ac2d74bd-26d9-5161-9c85-0c004e3d2759 |
| linearly independent | bebas linear | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:ac6f1c21-915f-5936-84f4-6ae0dd0029cd |
| inverse image | prapeta | citra invers | — | R006Alasan dan buktiDo not confuse the inverse image set with an inverse-function value. R006 ch-vol1-intro.tex urn:uuid:ac93c665-a826-5b7f-924c-d4d63e5092fe |
| periodicity | periodisitas | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2088-2091 urn:uuid:ac9cab1c-279d-549b-8202-4fdc0a609d47 |
| convex hull | selubung konveks | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:acb7239d-3871-5c98-b89b-340f10bf7869 |
| intermediate value property | sifat nilai antara | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:acfc9fe4-42f5-5e53-ad93-af0ca4eb018e |
| surjective | surjektif | memetakan pada | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:ad768599-5cc4-50f7-b363-45e13d15b90d |
| uniformly bounded derivative | turunan yang terbatas secara seragam | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:adc8a418-61f0-5b6d-a5b3-e0c305bc0ab5 |
| decimal expansion | ekspansi desimal | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:ade3d68e-bced-5d90-a688-20fde4030fbe |
| Cantor diagonalization | diagonalisasi Cantor | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:adf72811-bb77-5680-9254-95b73b92e860 |
| convex function | fungsi konveks | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:ae35a174-2524-5443-bffb-86b04ef9ed59 |
| simply connected | terhubung sederhana | — | — | R006;R007Alasan dan buktiR006 ch-one-dim-ints-sv.tex; R007 ch-nonlin-systems.tex raw lines 1950-1985 urn:uuid:ae546d23-506e-54ab-b9cf-4655fc68cfa7 |
| speed | kelajuan | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:ae8a8fe0-65a9-5dcb-93c9-81d1b6fb6f1b |
| chaotic system | sistem kaotik | — | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 2155-2174 urn:uuid:af9c1bc0-f572-5cba-9eb4-90315890fe41 |
| regular arc | busur reguler | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:afe38ab4-9679-587c-b392-55750e6b5a7d |
| curve of length zero | kurva dengan panjang nol | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:b01c5195-5191-5a84-a670-5a8f113ba1dc |
| origin | titik asal | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2153-2159 urn:uuid:b058b5b4-8ede-5929-bc04-89088211b0e4 |
| Cauchy criterion | kriteria Cauchy | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:b0ccd608-94f8-5cf2-aa5e-dff1c9355e30 |
| eigenfunction | fungsi eigen | — | — | R006Alasan dan buktiUse for an eigenvector-like element in a vector space of functions R006 ch-approximate.tex raw lines 4245-4258; source defines the function-space analogue of an eigenvector through scalar multiplication under differentiation urn:uuid:b18b43ae-c04d-50e0-aad5-7e116ef6a10f |
| locally straighten | diluruskan secara lokal | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:b1e1eadc-0351-5f85-b31b-6ecbe2127fa5 |
| traverse twice | menelusuri dua kali | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:b1efd100-428d-5b4d-94c6-cc2862852813 |
| matrix entry | entri matriks | unsur matriks | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:b20380de-6bf8-551e-b3c9-5bf691e3214d |
| least element | elemen terkecil | minimum | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:b3a03aeb-34a1-5774-8187-f2dd501fa4cd |
| Tonelli for sums | Tonelli untuk penjumlahan | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:b3b2ea04-3b35-564e-9c01-ae432ebd9de9 |
| inherited metric | metrik yang diwarisi | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1377-1379 urn:uuid:b40b5578-7c66-51a5-9726-9778148ce771 |
| entire function | fungsi penuh | fungsi entire; fungsi menyeluruh; fungsi holomorfik pada seluruh C | — | R008Alasan dan buktiDefine once with the English source term in parentheses and use fungsi penuh thereafter R008 ca.tex; UNEJ Analisis Kompleks physical pages 97 108 148 149 162 163 166 171 182 and 199 urn:uuid:b412e0b3-f5fd-5349-87af-4e8a838f8634 |
| countably infinite | tak berhingga yang terhitung | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:b418b08e-020a-5513-99dc-796a925d5de1 |
| metric | metrik | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:b48442e9-d077-5705-8489-116977642a2c |
| continuous linear functional | fungsional linear kontinu | fungsional kontinu linear | — | R006Alasan dan buktiSource says linear continuous function but the typed map from a function space to the scalar field is a functional R006 ch-approximate.tex raw lines 4030-4036; standard Indonesian functional-analysis register urn:uuid:b535dc41-7e1f-5a80-860d-e34a4d80f414 |
| additivity of the integral | aditivitas integral | sifat aditif integral | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:b55a9bd4-617c-5c8b-948d-f17617cf22c8 |
| for almost every | untuk hampir setiap | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:b5925ea8-4c12-56b6-ba94-ac8323a7da4c |
| Cauchy--Schwarz inequality | ketaksamaan Cauchy--Schwarz | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:b5eaea43-cc9f-5e66-81b9-bb1070abe1f9 |
| strictly decreasing | turun tegas | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:b64ca165-27c4-5166-88b4-3201801f1f82 |
| diagonal argument | argumen diagonal | — | — | R006Alasan dan buktiKeep distinct from Cantor diagonalization (diagonalisasi Cantor) R006 ch-approximate.tex raw lines 2619-2659 urn:uuid:b64f20e9-095b-5afe-9b99-11974d53c58c |
| open interval | interval terbuka | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:b6a01761-693b-5856-b021-4dbb0f3047d7 |
| Cantor function | fungsi Cantor | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:b6af38e4-15ed-54d9-afa6-b90d75c65063 |
| hyperbolic cosine | kosinus hiperbolik | fungsi kosinus hiperbolik | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2192-2221 urn:uuid:b6c49db4-063a-5913-bdb8-66c35543edae |
| sinc function | fungsi sinc | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:b7111016-aee6-5bea-9b58-35c20fae0dd5 |
| oscillation | osilasi | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:b7ad77d1-9f3a-5585-ac42-f4fd0fbd08cd |
| unbounded interval | interval tak terbatas | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:b7f12eff-2916-5458-88e8-3d7060d9d693 |
| sequences and series | barisan dan deret | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:b7f2d6fc-fc08-5ca5-8272-acb9f84cd012 |
| Weierstrass M-test | uji M Weierstrass | uji-M Weierstrass | — | R006Alasan dan buktiRetain the proper name and uppercase M; link to the established theorem reference thm:weiermtest R006 ch-approximate.tex raw lines 4539-4566; the source invokes the named test for absolute and uniform convergence of the Fourier series urn:uuid:b88c10d8-0333-5f2d-94e8-4eab2abfba49 |
| Dirichlet function | fungsi Dirichlet | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:b8e81c21-2fe3-50f4-97d1-b49c9d9a1b4c |
| direct image | citra langsung | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:b91fc043-fe80-53a0-9e9f-ad0cd86db4ed |
| intermediate value theorem | teorema nilai antara | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2080-2084; consistent with LEBL-TERM-0207 urn:uuid:b94fd178-0c70-51ed-99a0-4e044da1cfcb |
| Heaviside function | fungsi Heaviside | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:b9bb7da8-269d-59a1-9f17-d0cac57cffbd |
| supremum | supremum | batas atas terkecil | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:b9e4123d-a809-5e8e-b3a2-83c9728d0170 |
| complex exponential | eksponensial kompleks | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1771-1861; QA terminologi Analisis Kompleks 2026-08-24 urn:uuid:b9e8a126-7fd9-5b1c-9767-330acd6a247d |
| exponential function | fungsi eksponensial | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:b9f68c56-ce05-5db7-b311-492e8a8b4d2c |
| algebraic number | bilangan aljabar | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:baa09916-ff17-5cac-9204-49692daf7d7b |
| finite-dimensional | berdimensi hingga | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:bb45275b-fa32-51ea-be5b-5ac3068be40a |
| function space | ruang fungsi | — | — | R006Alasan dan buktiUse for a space whose elements are functions; keep distinct from the codomain of a single function R006 ch-approximate.tex raw lines 4612-4711; the subsection treats integrable functions as vectors carrying an inner product urn:uuid:bb63bbde-6cfc-5319-9965-eb4163e01504 |
| pole | kutub | pole; titik kutub | — | R006Alasan dan buktiField evidence also uses pole and titik kutub; prefer concise Indonesian kutub R006 ch-approximate.tex raw lines 2488-2535 urn:uuid:bba4855c-6833-5519-9d26-ceeca6cd4999 |
| complement | komplemen | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:bc48b1fd-2b09-5a74-bfc2-f9bc9cc0805d |
| Hermitian inner product | hasil kali dalam Hermitian | — | — | R006Alasan dan buktiPreserve conjugation and the proper name Hermitian R006 ch-approximate.tex raw lines 4612-4711; the complex-valued pairing explicitly conjugates the second argument urn:uuid:bc541d30-5567-5233-923a-14f57cfbc069 |
| Abel's theorem | teorema Abel | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:bc81fe4b-57b7-5efc-a8c3-8695bcea7fc2 |
| interior | bagian dalam | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:bcd59507-dfb1-5c98-b17c-f9d481a24949 |
| curve | kurva | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:bd84730f-da6e-5e00-a3b2-44010f3c30d4 |
| Jacobian determinant | determinan Jacobian | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:bde83178-8af0-593e-bee3-3cf5b40ff562 |
| Laplace equation | persamaan Laplace | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:be1e42ff-7946-5df0-8cb0-049a2d4aa207 |
| first derivative | turunan pertama | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:be2ebf40-7007-5395-88a8-f02d83792c6d |
| closure | penutupan | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:be384ac0-ebb6-5c60-a314-3b37483758e0 |
| orthogonal projection | proyeksi ortogonal | — | — | R006Alasan dan buktiPreserve the geometric linear-algebra meaning in the function space R006 ch-approximate.tex raw lines 4612-4711; Fourier coefficients are motivated by the finite-dimensional projection formula urn:uuid:bf374298-baf5-5a88-9ac3-80dba9653552 |
| clopen set | himpunan terbuka-tertutup | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:c09e7ba0-68ef-5da0-8aa7-c316765db63c |
| monic polynomial | polinom monik | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:c1c13935-c1bf-5735-b94f-c4e327d84a76 |
| closed path | lintasan tertutup | closed trajectory | — | R006;R007Alasan dan buktiThe R007 contextual source phrase closed trajectory maps to the same concept R006 ch-one-dim-ints-sv.tex; R007 ch-nonlin-systems.tex urn:uuid:c235f6b1-4879-5f66-9a0e-b957d374b607 |
| field | lapangan | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:c259d78d-0b93-5061-af07-7e3c245639a2 |
| affine transformation | transformasi afin | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1336-1346 urn:uuid:c264ecab-ee88-503d-8338-0ab87ffc87ed |
| analytic function | fungsi analitik | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:c286de02-ac03-5eee-9844-a59c938f1a9b |
| order of summation | urutan penjumlahan | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1477-1487 urn:uuid:c32ca9d1-69e5-52cd-b7d1-468d2cf1a64a |
| completeness | kelengkapan | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:c3398e90-d3a5-5306-aafa-105483a35696 |
| absolute minimum | minimum mutlak | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:c3a94a17-a149-5e32-8c57-d2f41b4c7663 |
| range | daerah hasil | jangkauan | — | R006Alasan dan buktiDistinguish from codomain. R006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 p. 10 urn:uuid:c44d7e50-bf63-5584-8f22-8179fc7989ee |
| line segment | ruas garis | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:c462971b-49c5-57b5-88ec-78350e32edd3 |
| corollary | akibat | korolari | — | R006Alasan dan buktiR006 realanal.tex and ch-vol1-intro.tex urn:uuid:c4cd9ba2-4d72-5f96-bf0f-317d3e9a82e9 |
| converges to infinity | konvergen ke tak hingga | — | — | R006Alasan dan buktiThe source explicitly identifies this wording as slightly incorrect in the present context R006 ch-contfunc.tex urn:uuid:c58e7c8d-d99f-5d57-b78c-4fadc4ef5d47 |
| ratio test for series | uji rasio untuk deret | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:c67e66a7-f9f4-5618-beb9-3eb13f2ac65c |
| bounded below | terbatas di bawah | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:c6a210aa-59bb-5a18-b969-98f41294cadb |
| tail of a sequence | ekor barisan | ekor-K | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:c700e57f-a1de-50a2-9109-4e5c5100ace8 |
| law of exponents | hukum eksponen | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1828-1855 urn:uuid:c748d8b6-d3c2-57c0-998d-92d2d69eecd6 |
| differentiable curve | kurva diferensiabel | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:c7696154-d63e-5ba9-91e4-caffe532a8c9 |
| domain | domain | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:c79b9456-735a-5d1f-9c0f-8be90f2011a0 |
| rearrangement of a series | penyusunan ulang deret | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:c7fdae53-2c8f-5499-914a-3899105c5820 |
| Lebesgue number | bilangan Lebesgue | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:c8010a22-9f9e-56a2-9dad-a8a51d52c6f9 |
| simple closed path | lintasan tertutup sederhana | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:c8ce2c6c-b55d-5440-8848-b5f3d165c8e1 |
| C^k norm | norma C^k | — | — | R006Alasan dan buktiParameterized norm controlling a function and its derivatives through order k; C^1 is the k equals 1 instance R006 ch-approximate.tex raw lines 4141-4161; source names the C^1 and C^k norms and displays the derivative-sum criterion urn:uuid:c94af28e-c85f-558c-94b1-04927997698a |
| nonnegative | nonnegatif | taknegatif | — | R006Alasan dan buktiR006 ch-real-nums.tex and ch-metric.tex urn:uuid:c9788435-eb07-55b8-8a3f-94ec3b2dd88b |
| harmonic function | fungsi harmonik | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:c986f770-7f08-5622-9289-1279379e1d2e |
| limit inferior | limit inferior | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:ca08308c-7fed-5c57-a4e9-cdaa078d8204 |
| imaginary direction | arah imajiner | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1802-1805 urn:uuid:cafd9472-7be6-52fd-9c22-862ab1f70e62 |
| constant of motion | konstanta gerak | — | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 1479-1480 urn:uuid:cb2face0-2ea8-5efc-a912-8b46137af4d2 |
| euclidean distance | jarak Euklides | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:cb3bbb37-8997-5c4e-b131-62c07406e498 |
| inverse function | fungsi invers | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 pp. 1 and 11-13 urn:uuid:cb8f98c7-2e82-52c5-91b2-2ed81d3ee310 |
| limit of a function | limit fungsi | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:cc118cdd-9e0c-546d-bb27-bdc190508383 |
| constructive proof | bukti konstruktif | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:cd88d200-50c9-526b-a17d-4377eaa9f6f7 |
| local behavior | perilaku lokal | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2268-2270 urn:uuid:cdb00097-6b60-563d-8292-2aa9c96f9ac4 |
| cardinality | kardinalitas | kardinal | — | R006Alasan dan buktiUse kardinalitas for the property and kardinal when context denotes the cardinal number itself. R006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 p. 1; Universitas Andalas mathematics notes urn:uuid:cdc35435-579a-5c2a-9a32-6d897938460a |
| Fourier series | deret Fourier | — | — | R006Alasan dan buktiGeneral term for an expansion in trigonometric or complex-exponential modes; keep distinct from the cosine-only series in LEBL-TERM-0755 R006 ch-approximate.tex raw lines 4201-4241; established Indonesian modifier order already used in the admitted R006 reader and notation list urn:uuid:ce2b814f-ff4e-5717-800d-517bdc20e518 |
| proper subset | himpunan bagian sejati | subhimpunan sejati | — | R006Alasan dan buktiR006 ch-vol1-intro.tex and ch-real-nums.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 pp. 49 and 51 urn:uuid:ce398520-df1c-5fd9-99d7-90f40ee6353e |
| subsequence | subbarisan | sub barisan; barisan bagian | — | R006Alasan dan buktiRetain the standardized closed form subbarisan; the field source attests both spaced sub barisan and barisan bagian as contextual variants. R006 ch-seq-ser.tex; Usmadi, Analisis Real (Bahan Ajar), Universitas Muhammadiyah Sumatera Barat, 2020, PDF pp. 40 and 45 urn:uuid:cea6f57e-a1a3-563f-8271-74dd6f411071 |
| strict relative maximum | maksimum relatif ketat | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:cf43c711-acf1-511d-94be-d6167973cd34 |
| real-analytic | analitik real | — | — | R006Alasan dan buktiUse for a function represented locally by a real power series. R006 ch-approximate.tex raw lines 1066-1071 urn:uuid:d0065df6-8bfc-5fb3-b10a-93d72f542fbd |
| type II domain | domain tipe II | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:d00b2f50-c662-52f7-af67-2573f804ad06 |
| range | daerah hasil | jangkauan | — | R006Alasan dan buktiDistinguish from codomain. R006 ch-vol1-intro.tex urn:uuid:d010bd95-df75-576d-99d6-d81fb4cb33eb |
| change of variables | penggantian variabel | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:d05204ed-0928-5fac-8ae1-982d0f606d0e |
| lower bound | batas bawah | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:d0ae91ae-db10-5e82-b920-3d417f9b6609 |
| open cube | kubus terbuka | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:d0c2709f-054f-57fc-a0a9-feb7f4a1fe0e |
| path integral of a vector field | integral lintasan medan vektor | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:d19b921e-cb48-52c5-b5a1-3ba18f709352 |
| normalization | normalisasi | menormalisasi; dinormalisasi | — | R006Alasan dan buktiUse normalisasi for the unit-norm rescaling and retain the distinction between orthogonal and orthonormal systems R006 ch-approximate.tex raw lines 5025-5096; the proof rescales the orthogonal sine and cosine systems to unit norm before applying Bessel urn:uuid:d1aaa997-391a-55e6-b938-fd829c445210 |
| Taylor polynomial | polinom Taylor | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:d23de1fd-2c42-5bb7-ade8-aa3d4fab3e6b |
| least-upper-bound property | sifat batas atas terkecil | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:d269167a-929b-53a0-a14e-721075d19470 |
| Rolle's theorem | teorema Rolle | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:d3a9d861-cbd8-5c82-9bd3-67fde5796d39 |
| Poincare lemma | Lema Poincare | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:d3ecd176-43b7-5768-82e4-9f88bfa15f1f |
| radius | jari-jari | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2113-2116 urn:uuid:d51223f7-dbee-577f-9436-50f01c12b326 |
| infinite limit | limit tak hingga | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:d5138530-0f45-5092-8a28-6d3c620a8668 |
| alternating series test | uji deret berselang-seling | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:d59d77a6-f3b5-5769-8074-c13aac1499d1 |
| binary relation | relasi biner | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:d59e6059-f5c1-58a1-94f6-dd2f20624711 |
| limit cycle | siklus limit | siklus batas | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 1753-1828 urn:uuid:d5a2db4c-773e-5277-9e58-0daf33bed7e0 |
| separates points | memisah titik | memisahkan titik-titik | — | R006Alasan dan buktiQuantified family property: each distinct pair is distinguished by some family member R006 ch-approximate.tex raw lines 3582-3600; Arta Ekayanti Generalisasi Teorema Aproksimasi Weierstrass in Fibonacci 4(2) directly attests memisah titik urn:uuid:d5b870c4-c741-5462-8e8a-a713fe6cda04 |
| linearity of the derivative | linearitas turunan | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:d5e3b366-71d1-58ce-ad5c-2d22cf6f20e0 |
| power set | himpunan kuasa | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:d62d4732-de97-5c5c-9d8b-9e25887c7843 |
| binary | biner | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:d642d6bd-2bc0-5ba5-a73d-b39b192c1d0e |
| first form of the fundamental theorem | bentuk pertama teorema dasar kalkulus | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:d64ca32a-58a9-59c4-ab89-7a305ec9c94c |
| graph | grafik | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:d657d74c-cbcf-5244-b5d8-46639ced0d19 |
| differentiability | keterdiferensialan | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:d6cba0c2-6dc0-5f35-816a-77608dd6ff3b |
| totally separated | terpisah total | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:d72eeb04-a0f9-5bac-a65f-0919aa4105f6 |
| antiderivative | antiturunan | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:d75b3481-153b-5481-9b2d-156a20d405ff |
| even permutation | permutasi genap | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:d77b6015-ecd1-5170-8626-cd655d8ce5db |
| modulus | modulus | modulus kompleks | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 89-92 urn:uuid:d7966418-d2ac-5346-b390-cb2cf2de9e87 |
| powers | perpangkatan | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2129-2138 urn:uuid:d7fb028a-8588-5d41-b3aa-3366a67a8b8b |
| smallest positive period | periode positif terkecil | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1938-1945 urn:uuid:d81f7b8f-847e-5d73-9b17-7a243da3ee39 |
| nullspace | ruang nol | kernel | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:d868d878-fedd-54ad-9750-ed89942a266f |
| rational numbers | bilangan rasional | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:d88ccbd9-18a3-54bc-bc80-634b37d7c320 |
| u-substitution | substitusi u | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:d8aa1a0b-4605-5287-8343-670630f376c5 |
| telescoping sum | jumlah teleskopik | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:d8ada5c4-29d1-5086-b90d-a5a49ed829fe |
| injective | injektif | satu-ke-satu | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:d8bee69e-2232-5326-b3a2-fcb197e3c814 |
| coordinate block | blok koordinat | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:d90f2a22-283f-57d8-bacb-4fb63823305a |
| path-independent integral | integral bebas lintasan | integral yang tidak bergantung pada lintasan | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:d91037ba-8274-567f-8d5c-1872d073fbc5 |
| continuously differentiable path | lintasan yang diferensiabel secara kontinu | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:d967dcf4-17f8-5748-a1b9-4828241c7481 |
| infinity norm | norma tak hingga | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:da17ab24-5670-5b5b-b85b-f4d531e48814 |
| compact rectangle | persegi panjang kompak | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:da518910-eef9-5e72-a45c-0537c5296b39 |
| harmonic polynomial | polinom harmonik | — | — | R006Alasan dan buktiPolynomial in z and conjugate z on S^1; keep distinct from harmonic function R006 ch-approximate.tex raw lines 4056-4081; indexed source term for the unit-circle approximation exercise urn:uuid:da55551f-014a-5a97-96b5-7b77ab740036 |
| constant term | suku konstan | — | — | R006Alasan dan buktiUse for the degree-zero term of a polynomial or power series R006 ch-approximate.tex raw lines 3478-3480; established Indonesian algebra register urn:uuid:da57bbd1-54b0-5c72-9f85-a7ad5a05affa |
| sequentially compact | kompak secara sekuensial | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:db69dc55-9e8f-5da5-85b6-1abf3eff388b |
| real Stone--Weierstrass theorem | teorema Stone--Weierstrass versi real | teorema Stone--Weierstrass real | — | R006Alasan dan buktiKeep distinct from the later complex version that requires conjugation closure R006 ch-approximate.tex raw lines 3672-3710; theorem title and real-valued hypotheses in the frozen source urn:uuid:dc105c12-8a3a-5c26-8356-43d5312d44af |
| removable discontinuity | diskontinuitas yang dapat dihilangkan | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:dc28c73e-c31f-5d8b-9306-4642b3cdba49 |
| zero of a function | titik nol fungsi | nol fungsi | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1686-1691 urn:uuid:dc510bc4-31d3-50aa-aa51-556c5d811235 |
| Laplace transform | transformasi Laplace | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:dc834ae2-abbe-52bf-ab24-ba47706e56cf |
| second form of the fundamental theorem | bentuk kedua teorema dasar kalkulus | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:dc91cf5c-8093-56ac-83aa-ff9410b0e976 |
| Cauchy condensation principle | prinsip kondensasi Cauchy | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:dce1451f-1e8d-5ab7-871a-30a00e858c1f |
| separable equation | persamaan diferensial separabel | persamaan separabel; persamaan diferensial peubah terpisah | persamaan terpisahkan | R007Alasan dan buktiUse the full term in headings and persamaan separabel in compact prose R007 ch-first-order-ode.tex; UNEJ PDB physical pages 32 and 37; SPADA course 3062 module 65517 urn:uuid:dd01d77b-d8e2-5e21-86bc-bc52ba03df8f |
| annulus | anulus | gelang | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:dd0910d0-8493-555c-b130-a296b93e0f41 |
| L2 convergence | konvergensi L^2 | konvergen dalam pengertian L^2 | — | R006Alasan dan buktiUse dalam pengertian L^2 in reader prose and do not imply pointwise or uniform convergence R006 ch-approximate.tex raw lines 5132-5185; convergence is measured by the integral squared-modulus seminorm quantity urn:uuid:dd6ce676-c2b3-5f0c-8ca2-739b1ae3bb95 |
| globally invertible | invertibel secara global | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:dd876fda-617c-5c73-98b1-b41117fdb895 |
| minimum | minimum | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:de2b62cb-8d55-5d21-8d8d-9be765faeab0 |
| out-and-back path | lintasan pergi-pulang | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:de8d087b-eb8d-5a68-80f6-81ab10749e88 |
| geometric series | deret geometri | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:ded45a68-f285-5b60-a22c-5fb7b60dd890 |
| infinite-dimensional | berdimensi tak hingga | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:df07d93c-9a9b-53e9-9873-d04233420181 |
| Fourier cosine series | deret kosinus Fourier | — | — | R006Alasan dan buktiDistinguish the function's own Fourier cosine series from arbitrary finite cosine-polynomial approximants R006 ch-approximate.tex raw lines 3886-3908; standard Indonesian modifier order consistent with the admitted Fourier cosine transform term urn:uuid:df2e4cc5-fa3f-59c6-a3e1-51c9cb053926 |
| bilinear | bilinear | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:df94c782-e62f-58cd-b928-91f4738cc655 |
| compactness | kekompakan | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:e0063d3c-6672-52aa-a930-dd102a4e8963 |
| surjective | surjektif | memetakan pada | — | R006Alasan dan buktiR006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 p. 11 urn:uuid:e0426dcc-f406-58f3-958e-dc8849f8138f |
| real axis | sumbu real | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 30-32 urn:uuid:e0c7c628-4301-5232-96dd-20e3f550837c |
| strictly increasing sequence of natural numbers | barisan bilangan asli yang naik secara ketat | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:e202d43a-2ccf-5147-8a65-f53201f191f7 |
| theorem | teorema | — | — | R006Alasan dan buktiR006 realanal.tex and ch-vol1-intro.tex urn:uuid:e206e8b5-126b-5ab6-8d9d-ae609b5ca152 |
| closed form | bentuk tertutup | ekspresi bentuk tertutup | — | R007Alasan dan buktiUse bentuk tertutup; preserve the source-local definition and do not imply a universal formal boundary for allowable functions R007 ch-first-order-ode.tex raw lines 89-98; the source defines it locally as a formula in known functions with no integrals or limits and the wording matches established R006 and R007 usage urn:uuid:e20fe1db-bc51-51ff-a746-45f3da82e819 |
| closed cube | kubus tertutup | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:e2386e59-014d-5641-a02e-24f6ff6f25a2 |
| Euler's method | metode Euler | — | — | R006;R007Alasan dan buktiField-attested numerical ordinary-differential-equation term R006 ch-approximate.tex raw lines 3066-3132; ITB numerical differential-equation course MA3232 and Indonesian mathematics sources attest Metode Euler urn:uuid:e29da13b-ab87-5401-ab34-44248ee64128 |
| proper subset | himpunan bagian sejati | subhimpunan sejati | — | R006Alasan dan buktiR006 ch-vol1-intro.tex and ch-real-nums.tex urn:uuid:e2c16edf-f5f6-51aa-8f64-bc674428af90 |
| countable intersection | irisan terhitung | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:e3dd92bf-036a-5c59-957a-24d8f3533c47 |
| rate of decay | laju peluruhan | laju penurunan | — | R006Alasan dan buktiHere decay refers to coefficient magnitude as the integer frequency tends to infinity R006 ch-approximate.tex raw lines 4539-4566; the source measures how rapidly Fourier coefficients approach zero urn:uuid:e3e6c427-93f9-5fc5-a634-7a9d3f396699 |
| well ordering property | sifat urutan baik | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:e43077d8-2ed2-566b-8506-9802c0318b67 |
| ordinary differential equation | persamaan diferensial biasa | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:e4c11169-e747-50f7-a84e-f28df16cee7b |
| degree of a polynomial | derajat polinom | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2383-2431 urn:uuid:e4e49d4d-35c0-553d-8760-a0a18136c976 |
| vector field | medan vektor | — | — | R006;R007Alasan dan buktiR006 ch-one-dim-ints-sv.tex; R007 ch-nonlin-systems.tex raw lines 70-104 urn:uuid:e4fcd84c-198f-5bb3-b200-8b04f6fdf3d5 |
| linear transformation | transformasi linear | pemetaan linear | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:e5087044-e311-58a9-9518-e6260d08f6d2 |
| upper bound | batas atas | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:e65809ab-3aa5-56c5-ac89-45ff1ba2e020 |
| transposition | transposisi | pertukaran dua unsur | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:e689d7fb-5d95-563f-97df-47a0c760070f |
| upper integral | integral atas | integral Darboux atas | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:e6abf695-59af-5fec-97cc-da3315819818 |
| bounded domain with piecewise smooth boundary | domain terbatas dengan batas mulus sepotong-sepotong | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:e6b2cdc7-6223-59e8-85f9-626378c996de |
| diagonalizable matrix | matriks yang dapat didiagonalisasi | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:e7119ce5-3f28-57ce-a720-768aeda10771 |
| uniform convergence on compact subsets | konvergensi seragam pada subhimpunan kompak | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:e7324109-cba3-5439-b151-f70145bec42c |
| nondecreasing | tak menurun | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:e758b407-815a-5379-a57a-dd0afd8ce4f5 |
| scalar multiplication | perkalian skalar | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:e7c1c39a-194d-5331-8593-3fe3d2bddff1 |
| multivariable integral | integral multivariabel | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:e7cb203a-955e-5759-97b6-82fe0522656e |
| Darboux integral | integral Darboux | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:e7ed287f-ba7e-5b9f-9c90-cb4c2d7e5294 |
| type I domain | domain tipe I | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:e7f2cde4-22f6-57d0-ae9a-cedf70e99ab0 |
| improper integral | integral tak wajar | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:e87ae62e-301f-5e1e-a6a3-70dec0f1c4e8 |
| integrating factor | faktor integrasi | faktor integral | faktor pengintegrasi | R006;R007Alasan dan buktiUse faktor integrasi consistently across analysis and ODE R006 ch-seq-funcs.tex; R007 ch-first-order-ode.tex; UNEJ PDB physical pages 32 and 39 urn:uuid:e888ec21-56e8-5011-beec-7992c5ca0450 |
| highest-degree term | suku berderajat tertinggi | suku pangkat tertinggi | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2420-2431 urn:uuid:e89d67cf-a378-5bcb-b667-9d5cd2bd4525 |
| Taylor's theorem for real-analytic functions | Teorema Taylor untuk fungsi analitik real | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1428-1442 urn:uuid:e8a30369-75bc-5d21-beaf-8f18d110420b |
| L2 norm | norma L^2 | norma-2 | — | R006Alasan dan buktiPrefer norma L^2 in this functional-analysis context; do not collapse it into the finite-dimensional norma-2 variant R006 ch-approximate.tex raw lines 4612-4711; defined by the integral of the squared complex modulus urn:uuid:e9aa65da-21aa-58ed-b838-72a669710d84 |
| 1-norm | norma-1 | norma L1 | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:e9c85d27-cd9c-5926-9ec8-de58c4e2555e |
| Euler's formula | rumus Euler | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1883-1950 urn:uuid:ea2e9871-4d74-567e-85c0-471ae39ad892 |
| absolute convergence | konvergensi mutlak | konvergen mutlak | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:ea88b33d-4fea-5904-a410-11728846337d |
| implicit function theorem | teorema fungsi implisit | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:eab56957-f5bf-54c3-922f-e07de9cafd31 |
| elementary matrix | matriks elementer | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:eae52a1b-c601-5ce1-a2fa-be9ef79a3623 |
| function | fungsi | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:eb13bce5-ecb6-5466-ba64-550131802180 |
| Mertens' theorem | teorema Mertens | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:eb4b91a8-38a6-56f0-aff1-aa2f2e7df284 |
| Darboux's theorem | teorema Darboux | — | — | R006Alasan dan buktiR006 ch-der.tex urn:uuid:eb840cd5-2861-5497-80b8-25c70685c950 |
| diagonal matrix | matriks diagonal | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:eb8a3b33-588a-5145-a090-52d5c6c8af5b |
| vortex vector field | medan vektor pusaran | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:eba720bc-ae0d-5ab8-a2dc-16fee5f63d31 |
| Cantor set | himpunan Cantor | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:ebab70a7-298b-553f-b7c8-f4e9813ea745 |
| Riemann zeta function | fungsi zeta Riemann | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:ec0e8dde-a4a7-577c-b770-f68cc1d685da |
| Archimedean property | Sifat Archimedes | sifat Archimedean | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:ec769dfb-c336-5f39-b5f7-f12da62d878f |
| mixed partial derivative | turunan parsial campuran | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:eca618fa-c86f-5773-8717-f04e4acb97dc |
| squeeze lemma | lemma apit | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:ecbf6e3b-d2a4-516b-a192-4a586d31f09c |
| monotone decreasing sequence | barisan monoton turun | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:ecee1044-cd72-568a-9beb-0644abd1adef |
| taxicab distance | jarak taksi | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:ed1d3fb2-4783-5ea8-a5d2-ea13c2956306 |
| term | suku | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:ed1d652c-0d2c-555a-adb5-5fa817417dab |
| unit circle | lingkaran satuan | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:edd988c1-bffd-5f83-9bb1-c1331df26869 |
| scalar-valued function | fungsi bernilai skalar | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:ee2432d4-9ad7-50bb-8b5a-6005569316e1 |
| punctured plane | bidang berlubang | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:ee6e8aa2-9078-588a-885a-5cfc5d76af41 |
| set | himpunan | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:eede27e8-e1bb-5b54-83b1-2239bd102307 |
| boundary | batas | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:ef686a49-e6ca-51b6-ba8b-bc518284c95a |
| parametrization | parametrisasi | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:ef9db7ee-2c3d-579a-9bae-cd1584017082 |
| total derivative | turunan total | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:f0ade7e7-cb84-50f1-b1a8-f4a965fc54bc |
| identity theorem | teorema identitas | — | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 1587-1594; established translation usage in ch-seq-funcs.tex urn:uuid:f0fe386a-2c5b-58db-9467-e95ed6a15eb9 |
| Stone--Weierstrass theorem | teorema Stone--Weierstrass | teorema Stone Weierstrass | — | R006Alasan dan buktiRetain the source double-hyphen spelling in TeX and use the en-dash form in prose metadata where supported R006 ch-approximate.tex raw lines 3137-3390; UNY Teorema Stone-Weierstrass thesis and research report directly attest the Indonesian theorem name urn:uuid:f11761b6-2676-52d0-a75e-5806e967c503 |
| dot product | hasil kali titik | produk titik | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:f1281f63-da28-50c3-a446-7e461e09bfba |
| support | tumpuan | dukungan | — | R006Alasan dan buktiUse tumpuan in the current multivariable chapter; dukungan remains an attested variant R006 ch-multivar-int.tex; Indonesian mathematical usage surveyed in university publications urn:uuid:f15cfccb-0b97-517e-8c68-d7b801997318 |
| reflexive | refleksif | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:f176a00d-5f04-55b6-bc82-81c682afe251 |
| linearization | linearisasi | — | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 160-248 urn:uuid:f178406d-45a7-5e1e-a4b4-2a95851bc4b6 |
| bounded sequence | barisan terbatas | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:f1d48312-ddd4-5e6c-ad0a-aaeac4a96fa1 |
| transcendental number | bilangan transenden | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:f2111e98-bc6e-5aa3-9ee5-cfa374655276 |
| Dedekind cut | potongan Dedekind | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:f22b414a-ac31-5713-8d6a-c137871a9148 |
| delta function | fungsi delta | delta Dirac; fungsi delta Dirac | — | R006Alasan dan buktiPreserve the source's informal scope and do not imply that delta is an ordinary function R006 ch-approximate.tex raw lines 4946-4980; the source explicitly treats delta only heuristically and does not define distributions urn:uuid:f23348ae-6156-5505-89a5-0eeb0a1f619e |
| fixed point | titik tetap | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:f265e996-6c1f-55c8-8182-ff495125732b |
| longest side | sisi terpanjang | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:f28b5648-cb52-5ea8-b504-247b8d975002 |
| Cauchy--Schwarz inequality | ketaksamaan Cauchy--Schwarz | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:f2f7f88b-df96-5c80-bba1-e3dad387a798 |
| continuously differentiable | diferensiabel secara kontinu | — | — | R006;R007Alasan dan buktiR006 ch-der.tex; R007 ch-nonlin-systems.tex raw lines 1950-1985 urn:uuid:f358af92-b698-52ab-a9bc-9b49cb307142 |
| mean value property | sifat nilai rata-rata | — | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:f39d4dc7-da46-50d0-8a85-560abf6eb1be |
| metric space | ruang metrik | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:f3f961f7-7678-5471-afd3-2ca25a47ebc6 |
| secant line | garis sekan | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:f41acb51-384e-5485-8787-726bd43dcbdd |
| vertical tangency | titik tempat garis singgungnya vertikal | garis singgung vertikal | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:f42e619f-982e-5229-8e65-c50a44c632e2 |
| figure-eight curve | kurva berbentuk angka delapan | kurva angka delapan | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:f4440941-9edd-51b4-8438-8c326b3a0b2c |
| operator norm | norma operator | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:f4d012d6-0e83-5857-86e4-66a62d79af28 |
| initial condition | kondisi awal | — | syarat awal | R007Alasan dan buktiR007 lane convention aligned with the admitted first-order chapter; this is not a general rejection outside R007 R007 ch-nonlin-systems.tex raw lines 550-654 and 2155-2174 urn:uuid:f4d53504-6691-5fcc-8bab-f6f3811eb809 |
| Riemann integrable | terintegralkan secara Riemann | terintegralkan Riemann | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:f526bd6f-c422-5dd3-a70d-68d6c5082964 |
| Dirichlet kernel | kernel Dirichlet | inti Dirichlet | — | R006Alasan dan buktiUse the attested loanword kernel for this named convolution kernel; keep it distinct from ruang nol for a linear-map kernel R006 ch-approximate.tex raw lines 4852-4980; Indonesian Fourier-analysis theses and teaching texts attest kernel Dirichlet as the field-facing form urn:uuid:f5326335-f887-5404-8c81-011dfca00be6 |
| path independence | ketaktergantungan pada lintasan | integral tidak bergantung pada lintasan | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:f54ab88f-ed1b-5208-adb7-2e0621391d09 |
| slope field | medan kemiringan | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:f5f08ad9-8884-577a-94a9-e723a9c610cd |
| pole at infinity | kutub di tak hingga | kutub pada tak hingga | — | R006Alasan dan buktiR006 ch-approximate.tex raw lines 2493-2535 urn:uuid:f63006d2-2ae8-5051-a0bf-2dcb4d3403ba |
| trigonometric Fourier series | deret Fourier trigonometri | deret Fourier trigonometrik | — | R006Alasan dan buktiUse natural Indonesian modifier order and keep this general trigonometric family distinct from the cosine-only series R006 ch-approximate.tex raw lines 4852-4897; the subsection returns from abstract orthonormal systems to the complex-exponential trigonometric Fourier family urn:uuid:f66d1b94-28e5-5ddf-9ec6-2ea066c9d3e1 |
| linear operator | operator linear | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:f67786ad-a4a0-5cd0-8e01-cde1cede36f8 |
| removable singularity | singularitas yang dapat dihilangkan | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:f6e2ce03-8d07-52a6-bb9d-faccb9496967 |
| integrand | integran | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:f75708d6-eb0e-5fa7-81d7-44d809af6d40 |
| Cauchy complete | lengkap secara Cauchy | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:f768cfd5-2580-5cbc-b11c-2762f92aa1ee |
| divergence | divergensi | — | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 1950-1985 urn:uuid:f7a7ed52-52ac-50a3-9c98-5cc8f1894805 |
| tail of a series | ekor deret | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:f7e1031b-500a-52b7-8d1e-be5ac81b9d8b |
| minimal partition | partisi minimal | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:f807c9da-a0bf-500a-b744-1c65489aec2a |
| finite | berhingga | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:f84051bd-74d3-5487-ac06-94d17e742c22 |
| conditional convergence | konvergensi bersyarat | konvergen bersyarat | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:f84f6d32-2d81-59c3-8b11-5fa306720847 |
| phase plane | bidang fase | — | — | R007Alasan dan buktiR007 ch-nonlin-systems.tex raw lines 70-104 urn:uuid:f8a90e2d-d647-5876-b3e5-f5b4a3cb5f82 |
| countable | terhitung | — | tercacah | R006Alasan dan buktiCanonicalized by LEBL-ID-DEC-0016. R006 ch-vol1-intro.tex and Indonesian university analysis sources urn:uuid:f95e81cb-5dbd-5b5a-8db0-76ace7358a9b |
| positive | positif | — | — | R006Alasan dan buktiR006 ch-real-nums.tex urn:uuid:f9c77ee3-846d-5d96-830b-699d354700ac |
| minimal subcover | subselimut minimal | subselimut hingga minimal | — | R006Alasan dan buktiR006 ch-multivar-int.tex urn:uuid:f9ff7840-e78c-50bf-b639-097833e3a1c3 |
| subspace topology | topologi subruang | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:fa015717-fef7-5e17-b2a1-49b640b7fa7f |
| limit of a function at infinity | limit fungsi di tak hingga | limit di tak hingga | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:fa3bc3d0-5e23-5a82-87d8-1e0a82310b4d |
| uniform norm | norma seragam | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:fa936be9-fc39-5532-b98d-7787fa9b8196 |
| linearity of series | linearitas deret | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:fb381a4a-e1c9-5814-ba76-908a4655b52a |
| standard metric | metrik standar | — | — | R006Alasan dan buktiR006 ch-metric.tex urn:uuid:fb42279e-b613-59ef-ac7a-1563e6f7bb40 |
| maximum principle | prinsip maksimum | — | — | R006Alasan dan buktiScope is analytic functions; keep distinct from the harmonic maximum-principle concept R006 ch-approximate.tex raw lines 2347-2367 urn:uuid:fb6ea038-6ef1-54c2-9fda-7f115f1abff5 |
| Fourier cosine transform | transformasi kosinus Fourier | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:fc7f9acc-8f6e-5c7b-b885-7fc795504abc |
| one-form | bentuk-1 | bentuk diferensial derajat satu | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:fce5534e-775e-57b4-8661-6c8ca319a7de |
| uncountable | tak terhitung | — | tak tercacah | R006Alasan dan buktiCanonicalized by LEBL-ID-DEC-0016. R006 ch-vol1-intro.tex and Indonesian university analysis sources urn:uuid:fcf2e275-f1b6-58d9-aee6-6cde2fee0613 |
| partition | partisi | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:fd147966-89ed-50a9-8570-ce776273ebcb |
| monotonicity of the integral | kemonotonan integral | — | — | R006Alasan dan buktiR006 ch-riemann.tex urn:uuid:fd90bd0b-063d-5b3c-9639-a90ac7c10deb |
| preserve orientation | mempertahankan orientasi | — | — | R006Alasan dan buktiR006 ch-one-dim-ints-sv.tex urn:uuid:fd9e73c5-8616-5b77-93e2-3a790d1599ac |
| strict inequality | ketaksamaan ketat | — | — | R006Alasan dan buktiR006 ch-seq-ser.tex urn:uuid:fe46ff56-bf4f-54ae-8efc-8bac343054cf |
| uncountable | tak terhitung | — | tak tercacah | R006Alasan dan buktiCanonicalized by LEBL-ID-DEC-0016 and reconfirmed by the 2026-08-22 field-usage QA. R006 ch-vol1-intro.tex; Universitas Terbuka MATA4217 Edisi 2 Modul 1 p. 1; Indonesian university analysis sources urn:uuid:fed35757-0f71-5567-aed1-af63d61e9243 |
| Thomae function | fungsi Thomae | — | — | R006Alasan dan buktiR006 ch-contfunc.tex urn:uuid:fed53c64-e26d-591f-9d9f-5b4d97f6bffa |
| orthogonal system | sistem ortogonal | — | — | R006Alasan dan buktiUnlike an orthonormal system the individual norms need not equal one R006 ch-approximate.tex raw lines 4612-4711; the relaxed definition requires only zero cross-inner-products urn:uuid:ff609161-6a95-5488-901c-433d6953cd83 |
| countable dense subset | subhimpunan rapat yang terhitung | himpunan bagian rapat yang terhitung; himpunan padat terhitung | — | R006Alasan dan buktiPrefer the existing R006 topological register rapat over the attested padat variant R006 ch-approximate.tex raw lines 2740-2762; existing R006 ch-metric.tex exercise usage urn:uuid:ff6f561d-3e34-56fb-ae24-83a441d11b2c |
| set-theoretic function | fungsi dalam teori himpunan | — | — | R006Alasan dan buktiR006 ch-vol1-intro.tex urn:uuid:ff87641e-6833-55f6-bf32-9b4a81e92b47 |
| Jacobian matrix | matriks Jacobian | — | — | R006Alasan dan buktiR006 ch-several-vars-ders.tex urn:uuid:ff921163-a50f-5687-96cb-aac7c3fe6c99 |
| uniformly Cauchy | Cauchy secara seragam | — | — | R006Alasan dan buktiR006 ch-seq-funcs.tex urn:uuid:ffac3ea6-1564-51f3-b6c9-ebb88ecf6310 |
| compact operator | operator kompak | — | — | R006Alasan dan buktiField-attested canonical Indonesian functional-analysis term R006 ch-approximate.tex raw lines 2915-2945; ITB MA6131 bilingual course maps Compact Operator to Operator Kompak and Indonesian mathematical journals use the same term urn:uuid:ffbfa60f-13cc-5d11-ad65-504d75577630 |