{
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "$id": "https://www.calculatorx.com/schemas/math.vector.input.json",
  "title": "Vector — input",
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    },
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    },
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      ],
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    },
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        },
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        }
      ],
      "description": "Finite decimal; zero or normal binary64. Decimal text preserves underflow detection."
    },
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        },
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      ],
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    },
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      ],
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    }
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  "additionalProperties": false,
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    "capability_id": "math.vector",
    "registry_version": "0.3.0-preview.3",
    "declaration_scope": "Field/branch declarations only; inactive fields are not asserted to exist. No conversion-engine migration or new numerical certification.",
    "path_format": "Paths relative to inputs or result_detail.value; dot separates properties, * denotes array items, $ denotes a scalar result.",
    "inputs": {},
    "outputs": {
      "angle_deg": {
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        "reference": {
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          "revision": "1.0.0",
          "content_digest": "ebb31e3abee53f3bf57339c87949e1018d141739fba8a07f54c42ebfd219262b",
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          "dimension": [
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            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "angle_rad": {
        "unit": "rad",
        "reference": {
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          "revision": "1.0.0",
          "content_digest": "842467a958d28ac79bf34e796043449f6af24819d77b2b67f540dbabdecc8e3e",
          "dependency_digest": "9c07023393c6212aab52719f503df1bdc9456559b5c4719ff1fec47d0623e0ad",
          "quantity_kind": "plane_angle",
          "dimension": [
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            0,
            0,
            0,
            0,
            0,
            0
          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "cosine": {
        "unit": "1",
        "reference": {
          "unit_id": "cx:one",
          "revision": "1.0.0",
          "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599",
          "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5",
          "quantity_kind": "ratio",
          "dimension": [
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          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "nx": {
        "unit": "1",
        "reference": {
          "unit_id": "cx:one",
          "revision": "1.0.0",
          "content_digest": "98cc3ffc58d8733c483b60c4d7e238fe8ad43a6aadcced9496b74f33a01ef599",
          "dependency_digest": "b1c9aa4d586949ee881925298442091ba11dda29f57de0867e43da1cd59e06e5",
          "quantity_kind": "ratio",
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          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
          "definition_lifecycle": "candidate",
          "role": "scalar"
        }
      },
      "ny": {
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          "revision": "1.0.0",
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          ],
          "registry_version": "0.3.0-preview.3",
          "digest_contract": "calculatorx-unit-definition-digests-v2",
          "registry_status": "preview",
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        }
      },
      "nz": {
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        }
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    },
    "quantity_policy": {
      "physical_unit_id": null,
      "input_policy": "Components within each vector use a consistent arbitrary operand unit.",
      "derived_policy": "Magnitude inherits its operand unit; dot/cross products combine operand units, triple products combine three. Normalized direction components and cosine are ratios."
    }
  }
}