{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:88770359-f6f1-49c9-a368-973cc82bb90f",
  "labels": {
    "zh-CN": "余向量",
    "en": "covector"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "25cf8b037acb001e795a064ceec038ba381225754920160d6bc1ccd4f3de5974",
  "occurrences": [
    {
      "concept_id": "urn:uuid:88770359-f6f1-49c9-a368-973cc82bb90f",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-03/07-dual-spaces",
      "anchor": "concept-3-covector",
      "chapter": "3",
      "section": "3.7",
      "offset": 4995,
      "range": [
        12334,
        12555
      ],
      "source_revision": "938dfcbbffde5cbdbd7e55327dc24b68109b332b4f17d94eeedfe4be90a42e74",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "余向量(covector)",
      "context": {
        "range": [
          11941,
          12578
        ],
        "quote": "相对于这些运算，$V$ 上的线性泛函集合构成 $\\mathbb{K}$ 上的一个向量空间，称为 $V _ { ; }$ 的<u id=\"concept-3-dual-space\" class=\"concept-term\" data-concept-identity=\"urn:uuid:1212910c-fd6e-468e-8315-db95c69ef22e\" data-concept-route=\"/concept-identities#concept-1212910c-fd6e-468e-8315-db95c69ef22e\">对偶空间(dual space)</u>，通常记作 $V ^ { * }$。按照先前的约定，该空间的其他可能记号有 $L ( V , \\mathbb { K } )$ 或 $\\operatorname{Hom}(V,K)$。$V$ 上的线性泛函常被称为<u id=\"concept-3-covector\" class=\"concept-term\" data-concept-identity=\"urn:uuid:88770359-f6f1-49c9-a368-973cc82bb90f\" data-concept-route=\"/concept-identities#concept-88770359-f6f1-49c9-a368-973cc82bb90f\">余向量(covector)</u>，在后续章节中我们还有理由将其称为 1-形式。",
        "quote_sha256": "9c0c5a1ad7a3d64f52dfd5f8f28731b709687a5f48cd2f30f29a5c49d21b95fa",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "en/chapter-03/07-dual-spaces",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-d465ae8b2699151ce68a1c4b"
    }
  ],
  "registered_positions": [
    {
      "route": "zh/chapter-03/07-dual-spaces",
      "lang": "zh-CN",
      "section": "3.7",
      "signal": "term-mark",
      "label": "余向量",
      "english": "covector",
      "offset": 4612
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-d465ae8b2699151ce68a1c4b"
  ],
  "recorded_dependencies": [],
  "reading_paths": [],
  "coverage": {
    "registered_positions": 1,
    "located_occurrences": 1,
    "whole_book_search_complete": false,
    "registered_positions_truncated": false,
    "independent_human_review_implied": false
  },
  "unresolved": [],
  "base_revision": "6b0bb4a377b91fed5182fb86614706c00ebcf7335de2dc57a29871d36cd8cbec",
  "optional_enrichments": []
}