{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:1e3de021-b956-44d2-baf0-fb310e41bc05",
  "labels": {
    "zh-CN": "积分流形",
    "en": "integral manifold"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "e359b10efdcd39b5e9f05b696a09712b720f874af76d02a83354c6f6b3ab0549",
  "occurrences": [
    {
      "concept_id": "urn:uuid:1e3de021-b956-44d2-baf0-fb310e41bc05",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-15/06-distributions-and-frobenius-theorem",
      "anchor": "concept-15-integral-manifold",
      "chapter": "15",
      "section": "15.6",
      "offset": 968,
      "range": [
        6447,
        6688
      ],
      "source_revision": "225aab8a17b4738fe4c2c90a0fbd4d1303e79044e70ca9d93a75b916d5200722",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "积分流形(integral manifold)",
      "context": {
        "range": [
          6428,
          6753
        ],
        "quote": "分布 $D ^ { k }$ 的一个 <u id=\"concept-15-integral-manifold\" class=\"concept-term\" data-concept-identity=\"urn:uuid:1e3de021-b956-44d2-baf0-fb310e41bc05\" data-concept-route=\"/concept-identities#concept-1e3de021-b956-44d2-baf0-fb310e41bc05\">积分流形(integral manifold)</u> 是 $M$ 的一个 $k$ 维子流形 $( K , \\psi )$，使得所有与该子流形相切的向量场都属于 $D ^ { k }$",
        "quote_sha256": "1f797c45b640732163681dbff0738123dc7f943e9c8ea6a5392cb07310c23ad5",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "en/chapter-15/06-distributions-and-frobenius-theorem",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-8c026148a85d61eff3cdde37"
    },
    {
      "concept_id": "urn:uuid:1e3de021-b956-44d2-baf0-fb310e41bc05",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "en",
      "route": "en/chapter-15/06-distributions-and-frobenius-theorem",
      "anchor": "first-5407589057aa2384f435-en",
      "chapter": "15",
      "section": "15.6",
      "offset": 1302,
      "range": [
        6267,
        6503
      ],
      "source_revision": "9dc392eaf382187323a5ca1c4e44f8254de3aca53722f1a557d9dcc93bf1b795",
      "source_category": "original_transcription",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "integral manifold",
      "context": {
        "range": [
          6264,
          6665
        ],
        "quote": "An <u class=\"concept-term\" data-concept-identity=\"urn:uuid:1e3de021-b956-44d2-baf0-fb310e41bc05\" data-concept-route=\"/concept-identities#concept-1e3de021-b956-44d2-baf0-fb310e41bc05\" id=\"first-5407589057aa2384f435-en\">integral manifold</u> of a distribution $D ^ { k }$ is a $k$-dimensional submanifold $( K , \\psi )$ of $M$ such that all vector fields tangent to the submanifold belong to $D ^ { k }$",
        "quote_sha256": "d17a6c77efe8d081c0150b2bf9a66817ae66c9d7dabcb5ae155e07e2cba2bd25",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "zh/chapter-15/06-distributions-and-frobenius-theorem",
          "lang": "zh-CN",
          "source_category": "translation",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-81c5e6306d3ae1920c30ced0"
    }
  ],
  "registered_positions": [
    {
      "route": "en/chapter-15/06-distributions-and-frobenius-theorem",
      "lang": "en",
      "section": "15.6",
      "signal": "term-mark",
      "label": "integral manifold",
      "english": "integral manifold",
      "offset": 1111
    },
    {
      "route": "zh/chapter-15/06-distributions-and-frobenius-theorem",
      "lang": "zh-CN",
      "section": "15.6",
      "signal": "term-mark",
      "label": "积分流形",
      "english": "integral manifold",
      "offset": 812
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-8c026148a85d61eff3cdde37",
    "occ-81c5e6306d3ae1920c30ced0"
  ],
  "recorded_dependencies": [],
  "reading_paths": [],
  "coverage": {
    "registered_positions": 2,
    "located_occurrences": 2,
    "whole_book_search_complete": false,
    "registered_positions_truncated": false,
    "independent_human_review_implied": false
  },
  "unresolved": [],
  "base_revision": "35cbf9f536c505b3814d4a0ee4df6d4aa481c3c17025989b9ec2d74b96bc55ca",
  "optional_enrichments": []
}