{
  "handle": "EquationReduction",
  "ref": "EquationReduction#c553",
  "stub": "c553",
  "semaId": "sema:EquationReduction#mh:SHA-256:c553290bf7a727da9177f5fea9ede2cf4827bd253e57e237cf7d44d8a83e833f",
  "layer": "Physics",
  "category": "Dynamics",
  "gloss": "Compress a complex phenomenon into a short interpretable equation",
  "mechanism": "Collect data across many instances, search by analysis for an invariant relation, and express it as a compact equation in which each parameter and interaction has a known meaning. The classic example relates heartbeat rate, body size, and lifespan, yielding a near-constant number of heartbeats per life across species.",
  "invariants": [
    "Every parameter in the result has a stated meaning",
    "The equation fits data across instances, not one case"
  ],
  "failureModes": [
    "Fit that captures a correlation and not a mechanism",
    "Complexity that resists compact form"
  ],
  "ring": 2,
  "tier": 2,
  "aliases": {},
  "buildsOn": [],
  "usedBy": [
    {
      "handle": "ModelAsCompression",
      "type": "composes_with",
      "alias": "equation_reduction",
      "url": "/knowledge-graph/ModelAsCompression/",
      "json": "/knowledge-graph/ModelAsCompression.json"
    }
  ],
  "sources": {
    "research": [],
    "works": [],
    "homePage": false
  },
  "url": "/knowledge-graph/EquationReduction/",
  "graphUrl": "/knowledge-graph#EquationReduction",
  "directory": "/knowledge-graph/patterns.json"
}