{
  "schema": "AN02-L145-exact-figure-geometry/v1",
  "normal_cutoff": {
    "normal_dimension": "One complex coordinate w",
    "inner_radius": "1/2",
    "outer_radius": "1",
    "cutoff": "1 for r<=1/2;2(1-r) for1/2<r<1;0 forr>=1",
    "error_coefficient_over_datum": "-1/r on1/2<r<1;0 elsewhere,a.e.",
    "actual_unweighted_square_area_integral": "2*pi*log(2)",
    "coarse_bound_used": "4*pi",
    "obstruction": "Nonzero entire trace difference would force local |v|>=c/|w|",
    "obstruction_plot": "Rescaled outer radius1,relative inner radius epsilon;integral2*pi*log(1/epsilon)",
    "obstruction_is_actual_returned_solution": false,
    "proof": "Formal E4,EX11-EX18"
  },
  "codimension_iteration": {
    "steps": [
      0,
      1,
      2,
      3,
      4
    ],
    "complex_dimensions": [
      "m",
      "m+1",
      "m+2",
      "m+3",
      "m+4"
    ],
    "weight_loss_exponents": [
      0,
      3,
      6,
      9,
      12
    ],
    "fixed_C": 1,
    "universal_bounds_divided_by_initial_norm": [
      1.0,
      51.238405336041396,
      2625.3741813804754,
      134519.98646435066,
      6892589.592259201
    ],
    "normal_monotone_bounds_divided_by_initial_norm": [
      1.0,
      1.5707963267948966,
      0.4934802200544679,
      0.09228058535803517,
      0.012299127655808385
    ],
    "normal_monotone_bound_formula": "pi^j*(2j-1)!/(3j-1)! forj>=1;1 forj=0",
    "plotted_points_are_upper_bounds_not_actual_norms": true,
    "different_hypotheses_explicit": true,
    "proof": "Formal E6,EX20-EX23;E9,EX32-EX33"
  },
  "human_source": "Lars Hörmander,Analysis of Linear PDE II,Theorem15.1.3,printed274-275;1983/1990/2005",
  "original_material_license": "CC0-1.0",
  "font": "DejaVu Sans,separate license retained",
  "protected_source_media_used": false
}