mathburst.fireheartjerry.chatgpt.site

{
  "type": "object",
  "properties": {
    "latex": {
      "type": "string",
      "description": "LaTeX in x, e.g. \"x^2-2x-1\" or \"a x e^{x}\". Give this or equationId, not both."
    },
    "equationId": {
      "type": "string",
      "description": "Id of an existing equation object to plot instead of latex."
    },
    "bounds": {
      "type": "object",
      "description": "Graph box in world px. Default {x: 730, y: 150, width: 460, height: 330}.",
      "properties": {
        "x": {
          "type": "number",
          "description": "Left edge in world px."
        },
        "y": {
          "type": "number",
          "description": "Top edge in world px."
        },
        "width": {
          "type": "number",
          "exclusiveMinimum": 0,
          "description": "Width in world px, > 0."
        },
        "height": {
          "type": "number",
          "exclusiveMinimum": 0,
          "description": "Height in world px, > 0."
        }
      },
      "required": [
        "x",
        "y",
        "width",
        "height"
      ],
      "additionalProperties": false
    },
    "parameters": {
      "type": "object",
      "additionalProperties": {
        "type": "number",
        "description": "Parameter value."
      },
      "description": "Named constants used by the LaTeX, e.g. {\"a\": 1.5}."
    },
    "showTangentAt": {
      "type": "number",
      "description": "x value at which to draw the tangent line. Optional."
    },
    "shadeIntegral": {
      "type": "array",
      "minItems": 2,
      "maxItems": 2,
      "items": {
        "type": "number",
        "description": "x bound."
      },
      "description": "[from, to] in x to shade the area under the curve, e.g. [0, 1]."
    },
    "visualization": {
      "type": "string",
      "enum": [
        "standard",
        "gamma-density"
      ],
      "description": "\"standard\" (default) or \"gamma-density\" for the normalised Gamma density view with mass bins."
    },
    "binEdges": {
      "type": "array",
      "minItems": 4,
      "maxItems": 4,
      "items": {
        "type": "number",
        "description": "x edge."
      },
      "description": "Four ascending x edges splitting the density into three masses, e.g. [0, 2.5, 5, 12]. gamma-density only."
    },
    "construct": {
      "type": "boolean",
      "description": "true: create it unbuilt (drawProgress 0), then animate drawProgress 0 to 1 on a timeline to build it on screen. Ink draws stroke by stroke."
    }
  },
  "additionalProperties": false,
  "examples": [
    {
      "latex": "x^2-2x-1"
    },
    {
      "latex": "a x e^{x}",
      "parameters": {
        "a": 1
      },
      "shadeIntegral": [
        0,
        1
      ],
      "bounds": {
        "x": 700,
        "y": 160,
        "width": 460,
        "height": 330
      }
    },
    {
      "equationId": "eq-1",
      "showTangentAt": 1.5
    }
  ]
}