{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:1343270b-b407-4d8c-bb65-0292de19ed56",
  "labels": {
    "zh-CN": "单位分解",
    "en": "partition of unity"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "292624eea9c708fef4cc0c604e5ab2fa826ec2621a97da6d0ac4ed54cf4869b4",
  "occurrences": [
    {
      "concept_id": "urn:uuid:1343270b-b407-4d8c-bb65-0292de19ed56",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-17/01-partitions-of-unity",
      "anchor": "first-7ce7e75d69be1587295d-zh",
      "chapter": "17",
      "section": "17.1",
      "offset": 1456,
      "range": [
        4785,
        5028
      ],
      "source_revision": "ac4949a5290e2d242874f181575e639623b84e0d6867c49e0b4130c31d8a7763",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "单位分解(partition of unity)",
      "context": {
        "range": [
          4719,
          5066
        ],
        "quote": "给定流形 $M$ 的一个局部有限开覆盖 $\\{ V _ { a } \\}$，从属于覆盖 $\\{ V _ { a } \\}$ 的一个 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:1343270b-b407-4d8c-bb65-0292de19ed56\" data-concept-route=\"/concept-identities#concept-1343270b-b407-4d8c-bb65-0292de19ed56\" id=\"first-7ce7e75d69be1587295d-zh\">单位分解(partition of unity)</u> 由一族可微函数 $g _ { a } : M \\to$ $R$ 组成，使得",
        "quote_sha256": "973cb76a70eb5fb5ab46d559ded2d903d9aa450ea6c5760ed465fdee2a5d1255",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "en/chapter-17/01-partitions-of-unity",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-9a0733b313c9f84e9a61da9b"
    },
    {
      "concept_id": "urn:uuid:1343270b-b407-4d8c-bb65-0292de19ed56",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "en",
      "route": "en/chapter-17/01-partitions-of-unity",
      "anchor": "first-7ce7e75d69be1587295d-en",
      "chapter": "17",
      "section": "17.1",
      "offset": 1780,
      "range": [
        4638,
        4875
      ],
      "source_revision": "7b9b5ac2d16a43bad55f3768f5df24ebc80a279e681dc057d54869725dff60c3",
      "source_category": "original_transcription",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "partition of unity",
      "context": {
        "range": [
          4562,
          5004
        ],
        "quote": "Given a locally finite open covering $\\{ V _ { a } \\}$ of a manifold $M$, a <u class=\"concept-term\" data-concept-identity=\"urn:uuid:1343270b-b407-4d8c-bb65-0292de19ed56\" data-concept-route=\"/concept-identities#concept-1343270b-b407-4d8c-bb65-0292de19ed56\" id=\"first-7ce7e75d69be1587295d-en\">partition of unity</u> subordinate to the covering $\\{ V _ { a } \\}$ consists of a family of differentiable functions $g _ { a } : M \\to$ $R$ such that",
        "quote_sha256": "e35d0577fdcfe3a8d63f5093ff2678b78420478ff9771d8e37438b48c8a0bb3e",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "zh/chapter-17/01-partitions-of-unity",
          "lang": "zh-CN",
          "source_category": "translation",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-3796ab1e88581a60f2b27093"
    }
  ],
  "registered_positions": [
    {
      "route": "en/chapter-17/01-partitions-of-unity",
      "lang": "en",
      "section": "17.1",
      "signal": "term-mark",
      "label": "partition of unity",
      "english": "partition of unity",
      "offset": 1207
    },
    {
      "route": "zh/chapter-17/01-partitions-of-unity",
      "lang": "zh-CN",
      "section": "17.1",
      "signal": "term-mark",
      "label": "单位分解",
      "english": "partition of unity",
      "offset": 883
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-9a0733b313c9f84e9a61da9b",
    "occ-3796ab1e88581a60f2b27093"
  ],
  "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": "348e69d233cccf4a210c606b94a4557dc39cfd350a0e5270d8975910a51b0895",
  "optional_enrichments": []
}
