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F TD2000 GEO INDUSTRY B021 / weighted simplicial hodge edgeflow gradient curl harmonic decomposition

Reconstruct the complete Weighted simplicial Hodge decomposition of inconsistent pairwise edge flows artifact and compare an explicit claim.

POST https://detect.halowerk.com/v1/F-TD2000-GEO-INDUSTRY-B021/weighted-simplicial-hodge-edgeflow-gradient-curl-harmonic-decomposition

Eingaben

Felder des veröffentlichten Eingabeschemas
FeldTypPflichtBeschreibung
artifactobjectJa
Vollständiges Eingabeschema anzeigen
{
  "type": "object",
  "additionalProperties": false,
  "required": [
    "artifact"
  ],
  "properties": {
    "artifact": {
      "type": "object",
      "additionalProperties": false,
      "required": [
        "hodgeRank"
      ],
      "properties": {
        "hodgeRank": {
          "type": "object",
          "additionalProperties": false,
          "required": [
            "data",
            "claim"
          ],
          "properties": {
            "data": {
              "type": "object",
              "additionalProperties": false,
              "required": [
                "vertex_count",
                "edges",
                "triangles",
                "edge_weights",
                "edge_flow"
              ],
              "properties": {
                "vertex_count": {
                  "type": "integer",
                  "minimum": 4,
                  "maximum": 6
                },
                "edges": {
                  "type": "array",
                  "items": {
                    "type": "array",
                    "items": {
                      "type": "integer",
                      "minimum": 0,
                      "maximum": 5
                    },
                    "minItems": 2,
                    "maxItems": 2
                  },
                  "minItems": 3,
                  "maxItems": 10
                },
                "triangles": {
                  "type": "array",
                  "items": {
                    "type": "array",
                    "items": {
                      "type": "integer",
                      "minimum": 0,
                      "maximum": 5
                    },
                    "minItems": 3,
                    "maxItems": 3
                  },
                  "minItems": 0,
                  "maxItems": 6
                },
                "edge_weights": {
                  "type": "array",
                  "items": {
                    "type": "integer",
                    "minimum": 1,
                    "maximum": 4
                  },
                  "minItems": 3,
                  "maxItems": 10
                },
                "edge_flow": {
                  "type": "array",
                  "items": {
                    "type": "number",
                    "minimum": -2,
                    "maximum": 2
                  },
                  "minItems": 3,
                  "maxItems": 10
                }
              }
            },
            "claim": {}
          }
        }
      }
    }
  }
}

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