{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:24c541a9-58f0-4e62-b38e-b7b1496c08ce",
  "labels": {
    "zh-CN": "胞腔",
    "en": "cell"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "3690422fff5841bd515673babf4fc42e43903c242975e83baa235317311027c8",
  "occurrences": [
    {
      "concept_id": "urn:uuid:24c541a9-58f0-4e62-b38e-b7b1496c08ce",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-17/03-stokes-theorem",
      "anchor": "first-31fa70610c94c9d9a446-zh",
      "chapter": "17",
      "section": "17.3",
      "offset": 884,
      "range": [
        5149,
        5376
      ],
      "source_revision": "8106886fa25dc64b6ef3cd88e17b299a5dc48af6933e24a846386f26821d7ae2",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "胞腔(cell)",
      "context": {
        "range": [
          5067,
          5775
        ],
        "quote": "单位 0-立方体取为单元素集 ${ \\Gamma _ { 0 } = \\{ 0 \\} \\subset \\mathbb { R } }$。流形 $M$ 中的 $k$-<u class=\"concept-term\" data-concept-identity=\"urn:uuid:24c541a9-58f0-4e62-b38e-b7b1496c08ce\" data-concept-route=\"/concept-identities#concept-24c541a9-58f0-4e62-b38e-b7b1496c08ce\" id=\"first-31fa70610c94c9d9a446-zh\">胞腔(cell)</u> 是光滑映射 $\\sigma : U \\to M$，其中 $U$ 是 $\\Gamma _ { k }$ 在 $\\mathbb { R } ^ { k }$ 中的开邻域 $U$（见图 17.2），其支集定义为标准 $k$-立方体的像 $\\sigma ( \\Gamma _ { k } )$。$M$ 中的 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:10ef9d40-5020-4092-b70f-6d91f54ca82c\" data-concept-route=\"/concept-identities#concept-10ef9d40-5020-4092-b70f-6d91f54ca82c\" id=\"first-0851303442da353fac20-zh\">立方链(cubical chain)</u> $k$-链由形式和第",
        "quote_sha256": "c908d73e1198547f280d95caaa8d6e4a820a6c59ac7dc1355ab5134eb7f60a9f",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "en/chapter-17/03-stokes-theorem",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-765a943cb9d1c1f4a3dcb902"
    },
    {
      "concept_id": "urn:uuid:24c541a9-58f0-4e62-b38e-b7b1496c08ce",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "en",
      "route": "en/chapter-17/03-stokes-theorem",
      "anchor": "first-31fa70610c94c9d9a446-en",
      "chapter": "17",
      "section": "17.3",
      "offset": 1073,
      "range": [
        4866,
        5089
      ],
      "source_revision": "89e328aa625ac31a097a870b7d570f879bf72c427e5a34ed8eac8460efde855a",
      "source_category": "original_transcription",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "cell",
      "context": {
        "range": [
          4760,
          5612
        ],
        "quote": "The unit 0-cube is taken to be the singleton ${ \\Gamma _ { 0 } = \\{ 0 \\} \\subset \\mathbb { R } }$ . A $k$-<u class=\"concept-term\" data-concept-identity=\"urn:uuid:24c541a9-58f0-4e62-b38e-b7b1496c08ce\" data-concept-route=\"/concept-identities#concept-24c541a9-58f0-4e62-b38e-b7b1496c08ce\" id=\"first-31fa70610c94c9d9a446-en\">cell</u> in a manifold $M$ is a smooth map $\\sigma : U \\to M$ where $U$ is an open neighbourhood $U$ of $\\Gamma _ { k }$ in $\\mathbb { R } ^ { k }$ (see Fig. 17.2), and its support is defined as the image of the standard $k$-cube, $\\sigma ( \\Gamma _ { k } )$ . A <u class=\"concept-term\" data-concept-identity=\"urn:uuid:79a53fad-e8c8-467b-a88d-cf89e34cad2c\" data-concept-route=\"/concept-identities#concept-79a53fad-e8c8-467b-a88d-cf89e34cad2c\" id=\"first-dd07603497d0997588fd-en\">cubical</u> $k$-chain in $M$ consists of a formal sum",
        "quote_sha256": "1dfc2755bc1693ce3376925233bacc99db6fe094f1a938710dc3b03daeb9a29d",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "zh/chapter-17/03-stokes-theorem",
          "lang": "zh-CN",
          "source_category": "translation",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-e72465d51fb1ab10a879cc83"
    }
  ],
  "registered_positions": [
    {
      "route": "en/chapter-17/03-stokes-theorem",
      "lang": "en",
      "section": "17.3",
      "signal": "term-mark",
      "label": "cell",
      "english": "cell",
      "offset": 882
    },
    {
      "route": "zh/chapter-17/03-stokes-theorem",
      "lang": "zh-CN",
      "section": "17.3",
      "signal": "term-mark",
      "label": "胞腔",
      "english": "cell",
      "offset": 693
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-765a943cb9d1c1f4a3dcb902",
    "occ-e72465d51fb1ab10a879cc83"
  ],
  "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": "e653b5c97294c8b983955e0d8a195d403b47a9ed20a7ac7733c3751d1e28adf6",
  "optional_enrichments": []
}