{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:0e4afba4-5ba4-439a-b77b-cd49f88c44f3",
  "labels": {
    "zh-CN": "符号差",
    "en": "signature"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "d1ab84576aa638723638909817e0cce1390f77162d1ad7d0a9624a846470b114",
  "occurrences": [
    {
      "concept_id": "urn:uuid:0e4afba4-5ba4-439a-b77b-cd49f88c44f3",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "zh-CN",
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-28/05-real-cliford-algebras",
      "anchor": "first-9f35a1c74678f1509bb6-zh",
      "chapter": "28",
      "section": "28.2",
      "offset": 926,
      "range": [
        7711,
        8003
      ],
      "source_revision": "0dc0c1bd23025c774c4a68979991f28351ea92df3276584446b85a848929b601",
      "source_category": "machine_draft",
      "review_status": "machine-draft-not-reviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "符号差(signature)",
      "context": {
        "range": [
          7635,
          8056
        ],
        "quote": "下一章将说明为什么更一般的定义很有用。令变量个数 $n=r+s$，其中 $r,s$ 为非负整数。除了改变 $r+s$，还可改变 $r-s$，后者称为“[<u class=\"concept-term\" data-concept-reference=\"concepts/linear-algebra/signature\" data-concept-identity=\"urn:uuid:0e4afba4-5ba4-439a-b77b-cd49f88c44f3\" data-concept-route=\"/concept-identities#concept-0e4afba4-5ba4-439a-b77b-cd49f88c44f3\" id=\"first-9f35a1c74678f1509bb6-zh\">符号差(signature)</u>](../../../../../concepts/linear-algebra/signature)”：",
        "quote_sha256": "42b3e73cc86cace5c3196a4b91ff6d25522163bf3debb988defa3395c30eb2ec",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/en/chapter-28/05-real-cliford-algebras",
          "lang": "en",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-21a7d9ae72d2dd35e06a13b3"
    },
    {
      "concept_id": "urn:uuid:0e4afba4-5ba4-439a-b77b-cd49f88c44f3",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "en",
      "route": "books/woit-qtgr/2025-10-20/en/chapter-28/05-real-cliford-algebras",
      "anchor": "first-9f35a1c74678f1509bb6-en",
      "chapter": "28",
      "section": "28.2",
      "offset": 1145,
      "range": [
        7057,
        7344
      ],
      "source_revision": "4fd8f100b1b83a3329749162828984d15f4d0e1bca33f32b5a0beca78ae5927a",
      "source_category": "machine_draft",
      "review_status": "machine-draft-not-reviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "signature",
      "context": {
        "range": [
          6892,
          7397
        ],
        "quote": "A more general definition will be useful for reasons explained in the next chapter. Write $n=r+s$ with $r,s$ nonnegative. Besides $r+s$, we vary $r-s$, called the “[<u class=\"concept-term\" data-concept-reference=\"concepts/linear-algebra/signature\" data-concept-identity=\"urn:uuid:0e4afba4-5ba4-439a-b77b-cd49f88c44f3\" data-concept-route=\"/concept-identities#concept-0e4afba4-5ba4-439a-b77b-cd49f88c44f3\" id=\"first-9f35a1c74678f1509bb6-en\">signature</u>](../../../../../concepts/linear-algebra/signature)”:",
        "quote_sha256": "3bd1ddf93b0eee0540eadb15d3800049a4163435dfc0642488a3af7725cdd79e",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/zh/chapter-28/05-real-cliford-algebras",
          "lang": "zh-CN",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-8a5946c3c23dfdb1683ed8e1"
    }
  ],
  "registered_positions": [
    {
      "route": "books/woit-qtgr/2025-10-20/en/chapter-28/05-real-cliford-algebras",
      "lang": "en",
      "section": "28.2",
      "signal": "term-mark",
      "label": "signature",
      "english": "signature",
      "offset": 954
    },
    {
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-28/05-real-cliford-algebras",
      "lang": "zh-CN",
      "section": "28.2",
      "signal": "term-mark",
      "label": "符号差",
      "english": "signature",
      "offset": 735
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-21a7d9ae72d2dd35e06a13b3",
    "occ-8a5946c3c23dfdb1683ed8e1"
  ],
  "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": "c733ffe80ef9985949434e0b7b215a20e6e77404f6eac204a93460dc16ca6b56",
  "optional_enrichments": []
}