{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:46781123-db78-4492-b540-4ea28f03f02b",
  "labels": {
    "zh-CN": "可分的",
    "en": "separable"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "06ee95f2a0eac26ea722da4d59a6a3b3a47ab7152317963a112f3afcf79652f7",
  "occurrences": [
    {
      "concept_id": "urn:uuid:46781123-db78-4492-b540-4ea28f03f02b",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-13/02-expansion-theorems",
      "anchor": "concept-13-separable",
      "chapter": "13",
      "section": "13.2",
      "offset": 1591,
      "range": [
        7311,
        7535
      ],
      "source_revision": "2913b8cf4fc112622678a915c6e45b573f91ff3af20f5fd0ef42212378b2f439",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "可分的(separable)",
      "context": {
        "range": [
          7297,
          7535
        ],
        "quote": "那我们称这个希尔伯特空间称为<u id=\"concept-13-separable\" class=\"concept-term\" data-concept-identity=\"urn:uuid:46781123-db78-4492-b540-4ea28f03f02b\" data-concept-route=\"/concept-identities#concept-46781123-db78-4492-b540-4ea28f03f02b\">可分的(separable)</u>",
        "quote_sha256": "ea875eef06be5e578abd7b170fee501aacc25f3fb8178ba99040eacfd1fda38e",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "en/chapter-13/02-expansion-theorems",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-1035c96fff45eed5ada66835"
    },
    {
      "concept_id": "urn:uuid:46781123-db78-4492-b540-4ea28f03f02b",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "en",
      "route": "en/chapter-13/02-expansion-theorems",
      "anchor": "first-2c7109926df0c442b1b2-en",
      "chapter": "13",
      "section": "13.2",
      "offset": 1885,
      "range": [
        7098,
        7326
      ],
      "source_revision": "3dbb5308b938bd923b727ef0043c3d4d7fabaad7a1e15ef399f165be13cf79be",
      "source_category": "original_transcription",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "separable",
      "context": {
        "range": [
          6732,
          7440
        ],
        "quote": "but the <u class=\"concept-term\" data-concept-identity=\"urn:uuid:bbb8c33f-05dd-4f24-a5c7-cc7a839194f8\" data-concept-route=\"/concept-identities#concept-bbb8c33f-05dd-4f24-a5c7-cc7a839194f8\" id=\"first-b6544f07eac0124ae411-en\">subspace generated by</u> $K$ will always refer to the closed subspace $\\overline { { L ( K ) } }$ generated by $K$. A Hilbert space is called <u class=\"concept-term\" data-concept-identity=\"urn:uuid:46781123-db78-4492-b540-4ea28f03f02b\" data-concept-route=\"/concept-identities#concept-46781123-db78-4492-b540-4ea28f03f02b\" id=\"first-2c7109926df0c442b1b2-en\">separable</u> if there is a countable set $K = \\{ u _ { 1 } , u _ { 2 } , . . . \\}$ such that $\\mathcal H$ is generated by $K$,",
        "quote_sha256": "140c384da0a7b0abe09fb4322d0186a68113232446452d9e381e262f37034817",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "zh/chapter-13/02-expansion-theorems",
          "lang": "zh-CN",
          "source_category": "translation",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-507644d3efcd70522ced2438"
    }
  ],
  "registered_positions": [
    {
      "route": "en/chapter-13/02-expansion-theorems",
      "lang": "en",
      "section": "13.2",
      "signal": "term-mark",
      "label": "separable",
      "english": "separable",
      "offset": 1312
    },
    {
      "route": "zh/chapter-13/02-expansion-theorems",
      "lang": "zh-CN",
      "section": "13.2",
      "signal": "term-mark",
      "label": "可分的",
      "english": "separable",
      "offset": 1123
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-1035c96fff45eed5ada66835",
    "occ-507644d3efcd70522ced2438"
  ],
  "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": "74a8995066fe00e8793ea84abf50b76d1745d6844420b89c6d2f611ce59f4087",
  "optional_enrichments": []
}