{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:60d65a35-60d7-43a2-8535-99cfced50031",
  "labels": {
    "zh-CN": "零模向量",
    "en": "null vector"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "48befb706d08b6915e061f28986de06d629421a4d806558a34c8194da88b53fe",
  "occurrences": [
    {
      "concept_id": "urn:uuid:60d65a35-60d7-43a2-8535-99cfced50031",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-05/01-real-inner-product-spaces",
      "anchor": "concept-5-null-vector",
      "chapter": "5",
      "section": "5.1",
      "offset": 4610,
      "range": [
        10099,
        10327
      ],
      "source_revision": "b0905ca500407f5be9e556fa6537e88d1d774fe93ee3047ac3c1ce4bc6352512",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "零模向量(null vector)",
      "context": {
        "range": [
          9784,
          10387
        ],
        "quote": "两个向量 $u$ 与 $v$ 称为 <u id=\"concept-5-orthogonal\" class=\"concept-term\" data-concept-identity=\"urn:uuid:4843528b-7c62-4895-8f6c-b663cf7ccb91\" data-concept-route=\"/concept-identities#concept-4843528b-7c62-4895-8f6c-b663cf7ccb91\">正交(orthogonal)</u>，如果 $u \\cdot v = 0$。由要求 (RIP3)，不存在非零向量 $u$ 与 $V$ 中的每个向量都正交。伪欧氏内积可能允许自正交或 <u id=\"concept-5-null-vector\" class=\"concept-term\" data-concept-identity=\"urn:uuid:60d65a35-60d7-43a2-8535-99cfced50031\" data-concept-route=\"/concept-identities#concept-60d65a35-60d7-43a2-8535-99cfced50031\">零模向量(null vector)</u> $u \\neq 0$ 具有零量值 $u \\cdot u = 0$ 的情形存在，但在欧氏向量空间中这一可能性显然被排除。",
        "quote_sha256": "c385331cf962eb9a6c63220bc98cdf5bcc4db7074c49b3809a772e47bd5d7d2b",
        "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-162a8e76caae689adf6d15b0"
    }
  ],
  "registered_positions": [
    {
      "route": "zh/chapter-05/01-real-inner-product-spaces",
      "lang": "zh-CN",
      "section": "5.1",
      "signal": "term-mark",
      "label": "零模向量",
      "english": "null vector",
      "offset": 3050
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-162a8e76caae689adf6d15b0"
  ],
  "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": "de2237fe8c1387fb79b23ec839e2a436726e528f4035cf63fccbbf8f6a60a426",
  "optional_enrichments": []
}