{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:605a5909-d1a3-4540-a329-5ee89aa7b684",
  "labels": {
    "zh-CN": "实数乘法群",
    "en": "multiplicative group of reals"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "2c363892a647f0621473b05315acf11982a682c5ecb1585c9af2b3a54b1e547d",
  "occurrences": [
    {
      "concept_id": "urn:uuid:605a5909-d1a3-4540-a329-5ee89aa7b684",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-02/01-elements-of-group-theory",
      "anchor": "concept-2-multiplicative-group-of-reals",
      "chapter": "2",
      "section": "2.1",
      "offset": 4244,
      "range": [
        8775,
        9040
      ],
      "source_revision": "ad9d6c5a6bcd992ad92802c42b86c6bf56d20c316c26e232554fab59e18fbd9d",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "实数乘法群(multiplicative group of reals)",
      "context": {
        "range": [
          8652,
          9190
        ],
        "quote": "> [!example] <a class=\"object-permalink\" href=\"#example-2-3\">例 2.3</a> \n>\n> 非零实数$\\dot{\\mathbb{R}}=\\mathbb{R}-\\{0\\}$形成一个群，称作<u id=\"concept-2-multiplicative-group-of-reals\" class=\"concept-term\" data-concept-identity=\"urn:uuid:605a5909-d1a3-4540-a329-5ee89aa7b684\" data-concept-route=\"/concept-identities#concept-605a5909-d1a3-4540-a329-5ee89aa7b684\">实数乘法群(multiplicative group of reals)</u>，群乘法是普通乘法，恒等元$e=1$。$x$ 的逆是 $x^{-1}=1 /x$。0 除外，因为它没有倒数。\n> 类似的，$\\mathbb{\\dot{Q}}$也是$\\mathbb{\\dot{R}}$的子群\n> $\\mathbb{C}$上同样有加法群，$\\mathbb{\\dot{C}}$上同样有乘法群",
        "quote_sha256": "88d586b093e03680e0af7d4f2bee699ede071cb42de042dc04147b94ec190bc5",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "en/chapter-02/01-elements-of-group-theory",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-38acd8d682cf6c8402d6c060"
    }
  ],
  "registered_positions": [
    {
      "route": "zh/chapter-02/01-elements-of-group-theory",
      "lang": "zh-CN",
      "section": "2.1",
      "signal": "term-mark",
      "label": "实数乘法群",
      "english": "multiplicative group of reals",
      "offset": 2684
    }
  ],
  "statements": [],
  "resolved_references": [
    {
      "raw": "href=\"#example-2-3\"",
      "href": "#example-2-3",
      "range": [
        8693,
        8712
      ],
      "relation": "references",
      "target_route": "zh/chapter-02/01-elements-of-group-theory",
      "target_anchor": "example-2-3",
      "resolved": true,
      "reason": null,
      "source_revision": "ad9d6c5a6bcd992ad92802c42b86c6bf56d20c316c26e232554fab59e18fbd9d",
      "source_route": "zh/chapter-02/01-elements-of-group-theory",
      "occurrence_id": "occ-38acd8d682cf6c8402d6c060"
    }
  ],
  "reading_order": [
    "occ-38acd8d682cf6c8402d6c060"
  ],
  "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": "83b5718c64fa94a9d13a0e27c969697d347e10d2fa36e83a4db96f582200be88",
  "optional_enrichments": []
}
