{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:a7683258-d9d8-48c2-a1c7-5a4a489c7aea",
  "labels": {
    "en": "antisymmetric"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "98dcf10e6172308cec9c616fefd6a90da354a47882189431044bf747b697ea25",
  "occurrences": [
    {
      "concept_id": "urn:uuid:a7683258-d9d8-48c2-a1c7-5a4a489c7aea",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "en",
      "route": "en/chapter-07/04-operations-on-tensors",
      "anchor": "first-aeb2d833b7edb5357ab1-en",
      "chapter": "7",
      "section": "7.4",
      "offset": 12664,
      "range": [
        16747,
        16979
      ],
      "source_revision": "cef32211705bd378e7fbf3612ba4e50aedfdca21a7ffe40fb9609a51ecb5fefd",
      "source_category": "original_transcription",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "antisymmetric",
      "context": {
        "range": [
          16296,
          17012
        ],
        "quote": "A tensor $S$ of type (0, 2) is called <span id=\"first-760eb7e9150caa9c7ef3-en\" class=\"block-anchor\"></span><u class=\"concept-term\" data-concept-identity=\"urn:uuid:3a5b55ef-0814-48af-910a-8879b536855b\" data-concept-route=\"/concept-identities#concept-3a5b55ef-0814-48af-910a-8879b536855b\" id=\"first-760eb7e9150caa9c7ef3-tensor-en\">symmetric</u> if $S ( u , v ) = S ( v , u )$ for all vectors $u$, $v$ in $V $ while a tensor $A$ of type (0, 2) is called <u class=\"concept-term\" data-concept-identity=\"urn:uuid:a7683258-d9d8-48c2-a1c7-5a4a489c7aea\" data-concept-route=\"/concept-identities#concept-a7683258-d9d8-48c2-a1c7-5a4a489c7aea\" id=\"first-aeb2d833b7edb5357ab1-en\">antisymmetric</u> if $A ( u , v ) = - A ( v , u )$",
        "quote_sha256": "ec1fc9faf3ee4f5a1b32a55d9717e9a9969c4a9976a71e7f670c0ae7888b69d1",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "zh/chapter-07/04-operations-on-tensors",
          "lang": "zh-CN",
          "source_category": "translation",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-ad27676bc844fb59c9191a36"
    },
    {
      "concept_id": "urn:uuid:a7683258-d9d8-48c2-a1c7-5a4a489c7aea",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "en",
      "route": "en/chapter-08/01-r-vectors-and-r-forms",
      "anchor": "section-8-1",
      "chapter": "8",
      "section": "8.1",
      "offset": 371,
      "range": [
        3448,
        3645
      ],
      "source_revision": "bffedc9497fe025d48b0a0a4235a1bfbb1d4f72310bdab5a195eb60dbb544e8e",
      "source_category": "original_transcription",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "antisymmetric",
      "context": {
        "range": [
          3405,
          3765
        ],
        "quote": "A tensor of type $( r , 0 )$ is said to be <u class=\"concept-term\" data-concept-identity=\"urn:uuid:a7683258-d9d8-48c2-a1c7-5a4a489c7aea\" data-concept-route=\"/concept-identities#concept-a7683258-d9d8-48c2-a1c7-5a4a489c7aea\">antisymmetric</u> ${ \\mathrm { i f } } ,$ as a multilinear function, it changes sign whenever any pair of its arguments are interchanged,",
        "quote_sha256": "be396858a77368c8e595f4572eb9d85c5e73deacaf1e42736a396c62443cb4d7",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "zh/chapter-08/01-r-vectors-and-r-forms",
          "lang": "zh-CN",
          "source_category": "translation",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-93b615e5cdd91a3189bab2bf"
    }
  ],
  "registered_positions": [
    {
      "route": "en/chapter-07/04-operations-on-tensors",
      "lang": "en",
      "section": "7.4",
      "signal": "term-mark",
      "label": "antisymmetric",
      "english": "antisymmetric",
      "offset": 11633
    },
    {
      "route": "en/chapter-08/01-r-vectors-and-r-forms",
      "lang": "en",
      "section": "8.1",
      "signal": "term-mark",
      "label": "antisymmetric",
      "english": "antisymmetric",
      "offset": 371
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-ad27676bc844fb59c9191a36",
    "occ-93b615e5cdd91a3189bab2bf"
  ],
  "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": "e605403eab558ff8755aeceea23fd8c82ff317d5ee09549579b307b98092bd30",
  "optional_enrichments": []
}