"The Calculus of Change" Presentation

“The Calculus of Change” demonstrates how Elucim scenes can explain math concepts with function plots, vector fields, matrix displays, and LaTeX equations.

Preview: Title Slide

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Structure

Author reusable math explanations as normalized documents: a single scene, an elements registry, and timelines/state machines that describe motion explicitly.

Example Document

Here’s the structure of a representative normalized scene:

{
  "version": "2.0",
  "scene": {
    "type": "player",
    "width": 900,
    "height": 650,
    "fps": 30,
    "background": "$background",
    "children": ["title"]
  },
  "elements": {
    "title": {
      "id": "title",
      "type": "text",
      "props": {
        "type": "text",
        "x": 450,
        "y": 220,
        "content": "The Calculus of Change",
        "fill": "#e0e7ff",
        "fontSize": 46,
        "fontWeight": 700,
        "textAnchor": "middle",
        "opacity": 0
      }
    }
  },
  "timelines": {
    "intro": {
      "id": "intro",
      "duration": 40,
      "tracks": [
        {
          "target": "title",
          "property": "opacity",
          "keyframes": [
            { "frame": 0, "value": 0 },
            { "frame": 40, "value": 1, "easing": "easeOutCubic" }
          ]
        }
      ]
    }
  }
}