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mathburst.fireheartjerry.chatgpt.site

mathburst.fireheartjerry.chatgpt.site

live Unverified (seed import) Health & Education 48 tools imperative implementation

A live mathematical canvas for reasoning, visualization, and WebMCP-native tutoring.

First seen 2026-11-05 · Last seen 2026-11-05 · Source: webmcp.com

Answer 9 · Act 37 · Transact 2 · Score: Not yet scored

Tool inspector

set_graph

act imperative

Update one existing graph: latex (rewrites its linked equation), xDomain, yDomain, color, parameters (merged into the existing ones), showTangentAt or shadeIntegral (null clears), visualization, binEdges. With latex, typewriter: true types it live. Returns the resulting parameters and value at the tangent. Use graph_expression to create a graph.

Input schema

PropertyTypeRequiredDescription
objectId string yes Id of the graph object.
latex string no New LaTeX in x for the linked equation, e.g. "a x^2".
xDomain array no [min, max] of x, e.g. [-4, 4].
yDomain array no [min, max] of y, e.g. [-5, 10].
color string no CSS curve color, e.g. "#7c5cff".
parameters object no Named constants merged into the existing parameters, e.g. {"a": 2}.
showTangentAt number,null no x at which to draw the tangent; null removes it.
shadeIntegral array,null no [from, to] in x to shade; null removes the shading.
visualization string no "standard" or "gamma-density" (normalised density with mass bins).
binEdges array no Four ascending x edges for the gamma-density bins, e.g. [0, 2.5, 5, 12].
typewriter boolean no true: type the new value live, character by character, before committing it. Default false.
typewriterMs number no Typing duration in ms, 200..6000. Default 1400.
Raw JSON schema
{
  "type": "object",
  "properties": {
    "objectId": {
      "type": "string",
      "minLength": 1,
      "description": "Id of the graph object."
    },
    "latex": {
      "type": "string",
      "minLength": 1,
      "description": "New LaTeX in x for the linked equation, e.g. \"a x^2\"."
    },
    "xDomain": {
      "type": "array",
      "minItems": 2,
      "maxItems": 2,
      "items": {
        "type": "number",
        "description": "x bound."
      },
      "description": "[min, max] of x, e.g. [-4, 4]."
    },
    "yDomain": {
      "type": "array",
      "minItems": 2,
      "maxItems": 2,
      "items": {
        "type": "number",
        "description": "y bound."
      },
      "description": "[min, max] of y, e.g. [-5, 10]."
    },
    "color": {
      "type": "string",
      "description": "CSS curve color, e.g. \"#7c5cff\"."
    },
    "parameters": {
      "type": "object",
      "additionalProperties": {
        "type": "number",
        "description": "Parameter value."
      },
      "description": "Named constants merged into the existing parameters, e.g. {\"a\": 2}."
    },
    "showTangentAt": {
      "type": [
        "number",
        "null"
      ],
      "description": "x at which to draw the tangent; null removes it."
    },
    "shadeIntegral": {
      "type": [
        "array",
        "null"
      ],
      "minItems": 2,
      "maxItems": 2,
      "items": {
        "type": "number",
        "description": "x bound."
      },
      "description": "[from, to] in x to shade; null removes the shading."
    },
    "visualization": {
      "type": "string",
      "enum": [
        "standard",
        "gamma-density"
      ],
      "description": "\"standard\" or \"gamma-density\" (normalised density with mass bins)."
    },
    "binEdges": {
      "type": "array",
      "minItems": 4,
      "maxItems": 4,
      "items": {
        "type": "number",
        "description": "x edge."
      },
      "description": "Four ascending x edges for the gamma-density bins, e.g. [0, 2.5, 5, 12]."
    },
    "typewriter": {
      "type": "boolean",
      "description": "true: type the new value live, character by character, before committing it. Default false."
    },
    "typewriterMs": {
      "type": "number",
      "minimum": 200,
      "maximum": 6000,
      "description": "Typing duration in ms, 200..6000. Default 1400."
    }
  },
  "required": [
    "objectId"
  ],
  "additionalProperties": false,
  "examples": [
    {
      "objectId": "graph-1",
      "parameters": {
        "a": 2
      }
    },
    {
      "objectId": "graph-1",
      "xDomain": [
        -6,
        6
      ],
      "showTangentAt": 1.5
    },
    {
      "objectId": "graph-1",
      "latex": "x^3-3x",
      "typewriter": true,
      "shadeIntegral": null
    }
  ]
}

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