{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:f6bfef51-6914-4e59-85f0-6ef326bbef9d",
  "labels": {
    "zh-CN": "逆变张量",
    "en": "contravariant tensor"
  },
  "alternative_labels": [
    {
      "lang": "en",
      "value": "contravariant tensors"
    }
  ],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "3a9035679823499df9b9a165f3d6f032576b4ba6781a924d201abb3fd09f4a58",
  "occurrences": [
    {
      "concept_id": "urn:uuid:f6bfef51-6914-4e59-85f0-6ef326bbef9d",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-07/01-free-vector-spaces-and-tensor-spaces",
      "anchor": "first-8b5a95404e6afec200fa-zh",
      "chapter": "7",
      "section": "7.1",
      "offset": 6535,
      "range": [
        12336,
        12581
      ],
      "source_revision": "724009ba3be50eb7848a22be25a944d8dcc36fc25a0a8a39f383d373f899b86b",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "逆变张量(contravariant tensor)",
      "context": {
        "range": [
          12293,
          12622
        ],
        "quote": "令 $V = W$，则 $V \\otimes V$ 的元素称为 $V$ 上的 2 次 <u class=\"concept-term\" data-concept-identity=\"urn:uuid:f6bfef51-6914-4e59-85f0-6ef326bbef9d\" data-concept-route=\"/concept-identities#concept-f6bfef51-6914-4e59-85f0-6ef326bbef9d\" id=\"first-8b5a95404e6afec200fa-zh\">逆变张量(contravariant tensor)</u>。若 $\\{e_i\\}$ 是 $V$ 的基，则每个 2 次逆变张量都有唯一的展开式",
        "quote_sha256": "30dc7d0bdb73de01ecadf1024af0deff6958853ff51030fd5c4514ed5c47a08d",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "en/chapter-07/01-free-vector-spaces-and-tensor-spaces",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-c319a0b959f8a28a3f918494"
    },
    {
      "concept_id": "urn:uuid:f6bfef51-6914-4e59-85f0-6ef326bbef9d",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "en",
      "route": "en/chapter-07/01-free-vector-spaces-and-tensor-spaces",
      "anchor": "first-cfa6026f59f7138bd267-en",
      "chapter": "7",
      "section": "7.1",
      "offset": 8530,
      "range": [
        13854,
        14094
      ],
      "source_revision": "5975ff488ab3c30cf5496df825f7f213a867478d71c61476831ea0a9e7b76c64",
      "source_category": "original_transcription",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "contravariant tensors",
      "context": {
        "range": [
          13795,
          14207
        ],
        "quote": "Setting $V = W$ , the elements of $V \\otimes V$ are called <u class=\"concept-term\" data-concept-identity=\"urn:uuid:f6bfef51-6914-4e59-85f0-6ef326bbef9d\" data-concept-route=\"/concept-identities#concept-f6bfef51-6914-4e59-85f0-6ef326bbef9d\" id=\"first-cfa6026f59f7138bd267-en\">contravariant tensors</u> of degree 2 on $V$. If $\\{e_i\\}$ is a basis of $V$ every contravariant tensor of degree 2 has a unique expansion",
        "quote_sha256": "f82c0dc8364b659bbf6b31f16e144081b61da6f1a2620dd77fcf3fea2c45f517",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "zh/chapter-07/01-free-vector-spaces-and-tensor-spaces",
          "lang": "zh-CN",
          "source_category": "translation",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-8608837e083b959b4517e1eb"
    }
  ],
  "registered_positions": [
    {
      "route": "en/chapter-07/01-free-vector-spaces-and-tensor-spaces",
      "lang": "en",
      "section": "7.1",
      "signal": "term-mark",
      "label": "contravariant tensors",
      "english": "contravariant tensors",
      "offset": 7801
    },
    {
      "route": "zh/chapter-07/01-free-vector-spaces-and-tensor-spaces",
      "lang": "zh-CN",
      "section": "7.1",
      "signal": "term-mark",
      "label": "逆变张量",
      "english": "contravariant tensor",
      "offset": 5771
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-c319a0b959f8a28a3f918494",
    "occ-8608837e083b959b4517e1eb"
  ],
  "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": "26f0445773eaccbab3b06f8dc31f3494bb43438e0ebd991772d52ae7e7861973",
  "optional_enrichments": []
}
