{
  "id": "lib-process:mathematics--symbolic-integration-differentiation",
  "_kind": "LibraryProcess",
  "_file": "generated-library/processes.yaml",
  "_cluster": "generated-library",
  "attributes": {
    "displayName": "specializations/domains/science/mathematics/symbolic-integration-differentiation",
    "description": "Perform symbolic integration and differentiation with verification.\nHandles special functions, definite integrals, and generates step-by-step solutions.",
    "libraryPath": "library/specializations/domains/science/mathematics/symbolic-integration-differentiation.js",
    "specialization": "mathematics",
    "references": [
      "- Bronstein, Symbolic Integration I",
      "- Geddes et al., Algorithms for Computer Algebra",
      "- Risch Algorithm: https://en.wikipedia.org/wiki/Risch_algorithm",
      [
        "NIST Digital Library of Mathematical Functions"
      ]
    ],
    "example": "const result = await orchestrate('specializations/domains/science/mathematics/symbolic-integration-differentiation', {\n  expression: 'x^2 * exp(-x)',\n  operation: 'integrate',\n  variable: 'x',\n  limits: { lower: 0, upper: 'infinity' },\n  assumptions: ['x > 0']\n});",
    "usesAgents": [
      "symbolic-computation-expert"
    ]
  },
  "outgoingEdges": [
    {
      "from": "lib-process:mathematics--symbolic-integration-differentiation",
      "to": "skill-area:statistical-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--symbolic-integration-differentiation",
      "to": "skill-area:mathematical-reasoning",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--symbolic-integration-differentiation",
      "to": "skill-area:data-analysis",
      "kind": "lib_requires_skill_area",
      "attributes": {
        "weight": 0.5
      }
    },
    {
      "from": "lib-process:mathematics--symbolic-integration-differentiation",
      "to": "domain:mathematics",
      "kind": "lib_applies_to_domain",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--symbolic-integration-differentiation",
      "to": "role:research-engineer",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--symbolic-integration-differentiation",
      "to": "role:computational-scientist",
      "kind": "lib_involves_role",
      "attributes": {
        "weight": 0.7
      }
    },
    {
      "from": "lib-process:mathematics--symbolic-integration-differentiation",
      "to": "workflow:experiment-design",
      "kind": "lib_implements_workflow",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--symbolic-integration-differentiation",
      "to": "specialization:computational-mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
        "weight": 1
      }
    },
    {
      "from": "lib-process:mathematics--symbolic-integration-differentiation",
      "to": "specialization:mathematics",
      "kind": "lib_belongs_to_specialization",
      "attributes": {
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      }
    },
    {
      "from": "lib-process:mathematics--symbolic-integration-differentiation",
      "to": "lib-agent:mathematics--symbolic-computation-expert",
      "kind": "uses_agent",
      "attributes": {
        "weight": 0.8
      }
    }
  ],
  "incomingEdges": []
}