{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:678d826e-ad2c-493f-8187-25c5734f0232",
  "labels": {
    "zh-CN": "施密特正交归一化",
    "en": "Schmidt orthonormalization"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "7f8e2b8684ebebef728ba2a3feb34b9cc9e61284c2f1163291d3be95333937b6",
  "occurrences": [
    {
      "concept_id": "urn:uuid:678d826e-ad2c-493f-8187-25c5734f0232",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-05/02-complex-inner-product-spaces",
      "anchor": "concept-5-schmidt-orthonormalization",
      "chapter": "5",
      "section": "5.2",
      "offset": 13927,
      "range": [
        21172,
        21434
      ],
      "source_revision": "130978731f44c1f1399a4088c5e4ff3a50730c13937bd888ca64abf512d0946a",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "施密特正交归一化(Schmidt orthonormalization)",
      "context": {
        "range": [
          21105,
          21641
        ],
        "quote": "从任意基 $\\{ u _ { 1 } , u _ { 2 } , \\ldots , u _ { n } \\}$ 出发，总可以通过称为 <u id=\"concept-5-schmidt-orthonormalization\" class=\"concept-term\" data-concept-identity=\"urn:uuid:678d826e-ad2c-493f-8187-25c5734f0232\" data-concept-route=\"/concept-identities#concept-678d826e-ad2c-493f-8187-25c5734f0232\">施密特正交归一化(Schmidt orthonormalization)</u> 的过程构造一组标准正交基，该过程与<a href=\"01-real-inner-product-spaces#example-5-2\" class=\"cross-reference\" id=\"xref-02-complex-inner-product-spaces-11\" data-reference=\"example-5-2\">例 5.2</a> 中概述的欧氏内积的格拉姆–施密特过程密切相关。其步骤依次为：",
        "quote_sha256": "27de2b17f57bc31eaa1102008b07d1b1e518d5ced881f48b0e98c97acec6e5f1",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "en/chapter-05/02-complex-inner-product-spaces",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-a826ad43970505cb6019a1d9"
    }
  ],
  "registered_positions": [
    {
      "route": "zh/chapter-05/02-complex-inner-product-spaces",
      "lang": "zh-CN",
      "section": "5.2",
      "signal": "term-mark",
      "label": "施密特正交归一化",
      "english": "Schmidt orthonormalization",
      "offset": 12466
    }
  ],
  "statements": [],
  "resolved_references": [
    {
      "raw": "href=\"01-real-inner-product-spaces#example-5-2\"",
      "href": "01-real-inner-product-spaces#example-5-2",
      "range": [
        21455,
        21502
      ],
      "relation": "references",
      "target_route": "zh/chapter-05/01-real-inner-product-spaces",
      "target_anchor": "example-5-2",
      "resolved": true,
      "reason": null,
      "source_revision": "130978731f44c1f1399a4088c5e4ff3a50730c13937bd888ca64abf512d0946a",
      "source_route": "zh/chapter-05/02-complex-inner-product-spaces",
      "occurrence_id": "occ-a826ad43970505cb6019a1d9"
    }
  ],
  "reading_order": [
    "occ-a826ad43970505cb6019a1d9"
  ],
  "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": "87eb9ae73733e959818f32b4049416303e66fbc2dd37e1a7746a557339533f0d",
  "optional_enrichments": []
}
