{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:17c9f610-9860-4c29-9004-115ae6174af4",
  "labels": {
    "zh-CN": "闵可夫斯基内积",
    "en": "Minkowskian inner product"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "3bf879c6b64326ed868cbad83794a94d2361a48d1e979bca9253ab5e6257b846",
  "occurrences": [
    {
      "concept_id": "urn:uuid:17c9f610-9860-4c29-9004-115ae6174af4",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-05/01-real-inner-product-spaces",
      "anchor": "concept-5-minkowskian-inner-product",
      "chapter": "5",
      "section": "5.1",
      "offset": 14267,
      "range": [
        19756,
        20015
      ],
      "source_revision": "b0905ca500407f5be9e556fa6537e88d1d774fe93ee3047ac3c1ce4bc6352512",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "闵可夫斯基内积(Minkowskian inner product)",
      "context": {
        "range": [
          19349,
          20016
        ],
        "quote": "若 $r$ 是 $+$ 符号的数目，而 $s$ 是 $-$ 符号的数目，则它们的差 $r-s$ 称为 <u id=\"concept-5-index-of-an-inner-product\" class=\"concept-term\" data-concept-identity=\"urn:uuid:2ed710df-ecf3-492f-9156-7475f79446ce\" data-concept-route=\"/concept-identities#concept-2ed710df-ecf3-492f-9156-7475f79446ce\">内积的指数(index of an inner product)</u>。西尔维斯特定理表明，它是内积空间的不变量，与标准正交基的选取无关。对于欧氏内积，$r-s=n$，尽管“欧氏”一词也适用于负定情形，$r-s=-n$。若 $r-s=\\pm(n-2)$，则称该内积为 <u id=\"concept-5-minkowskian-inner-product\" class=\"concept-term\" data-concept-identity=\"urn:uuid:17c9f610-9860-4c29-9004-115ae6174af4\" data-concept-route=\"/concept-identities#concept-17c9f610-9860-4c29-9004-115ae6174af4\">闵可夫斯基内积(Minkowskian inner product)</u>。",
        "quote_sha256": "af7e471ef7c8fb993ce15bfea47d63a2b437688407bd2ff60e4dd92ec6c02554",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "en/chapter-05/01-real-inner-product-spaces",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-112b030fabefe61ab9c9f9bd"
    }
  ],
  "registered_positions": [
    {
      "route": "zh/chapter-05/01-real-inner-product-spaces",
      "lang": "zh-CN",
      "section": "5.1",
      "signal": "term-mark",
      "label": "闵可夫斯基内积",
      "english": "Minkowskian inner product",
      "offset": 11870
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-112b030fabefe61ab9c9f9bd"
  ],
  "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": "55552555a8ad62d52772a0db8b0023d1e297b0d501ece1bc6611e9c682846bff",
  "optional_enrichments": []
}