{
  "first_figure": {
    "kind": "Exact support-set diagram;vertical placement is schematic",
    "singular_atom": "1/3",
    "smooth_tail_support": [
      "11/4",
      "13/4"
    ],
    "output_point": 0,
    "solution_interval_open": [
      -1,
      1
    ],
    "equation_interval_open": [
      "-2/3",
      "4/3"
    ],
    "singular_sample": "-1/3",
    "unavailable_tail_sampling_band": [
      "-13/4",
      "-11/4"
    ],
    "open_circles_are_excluded_domain_endpoints": true,
    "tail_band_is_support_not_function_height": true
  },
  "second_figure": {
    "formula": "x_j=1-2^(-j)",
    "distributional_derivative_order": "j",
    "equation_domain": [
      -1,
      1
    ],
    "solution_domain": [
      -2,
      2
    ],
    "accumulation_point_excluded_from_equation_domain": 1,
    "input_singular_distance": "2^(-j)",
    "image_singular_distance": "1+2^(-j)",
    "point_samples": [
      1,
      5
    ],
    "distance_samples": [
      1,
      12
    ],
    "sampled_curves_do_not_replace_the_infinite_datum_proof": true
  }
}