{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:d18866dc-065d-461f-b2c0-269b4e51f2a9",
  "labels": {
    "zh-CN": "电场与磁场",
    "en": "Electric and magnetic fields"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "49d8916a4b3269f8024bfb61f13c17ed2d2d079cbab37dd99682198f50cb9b25",
  "occurrences": [
    {
      "concept_id": "urn:uuid:d18866dc-065d-461f-b2c0-269b4e51f2a9",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "zh-CN",
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-45/02-curvature-electric-and-magnetic-fields",
      "anchor": "first-e0fc6567bd26a488c8b0-zh",
      "chapter": "45",
      "section": "45.2",
      "offset": 720,
      "range": [
        7093,
        7424
      ],
      "source_revision": "727c64098e5125b0b051ef23f9717bf7c1f70ed4a4e04cbae9c92e8f77ad1d7f",
      "source_category": "machine_draft",
      "review_status": "machine-draft-not-reviewed",
      "role": "definition",
      "role_basis": {
        "kind": "registered-source-environment",
        "registered_position": {
          "route": "books/woit-qtgr/2025-10-20/zh/chapter-45/02-curvature-electric-and-magnetic-fields",
          "lang": "zh-CN",
          "section": "45.2",
          "signal": "named-definition",
          "label": "电场与磁场",
          "english": "",
          "offset": 579
        }
      },
      "label": "> [!definition] 定义（电场与磁场）",
      "context": {
        "range": [
          7093,
          7424
        ],
        "quote": "\n\n> [!definition] 定义（电场与磁场）\n> 电场和磁场是从 $\\mathbf R^4$ 到 $\\mathbf R^3$ 的两个函数，其分量定义如下：\n>\n> $$\n> E _ {j} = F _ {j 0} = - \\frac {\\partial A _ {j}}{\\partial t} + \\frac {\\partial A _ {0}}{\\partial x _ {j}}\n> $$\n>\n> $$\n> B _ {j} = \\frac {1}{2} \\epsilon_ {j k l} F _ {k l} = \\epsilon_ {j k l} \\frac {\\partial A _ {l}}{\\partial x _ {k}}\n> $$\n",
        "quote_sha256": "0adcb1072737aa73f4f7c50303414da0dda4b2a511454c6613f9eb2c6f8f0da4",
        "environment": "definition",
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/en/chapter-45/02-curvature-electric-and-magnetic-fields",
          "lang": "en",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-630d3a109b8156a42a8a2895"
    },
    {
      "concept_id": "urn:uuid:d18866dc-065d-461f-b2c0-269b4e51f2a9",
      "book_id": "woit-qtgr",
      "edition_id": "2025-10-20",
      "lang": "en",
      "route": "books/woit-qtgr/2025-10-20/en/chapter-45/02-curvature-electric-and-magnetic-fields",
      "anchor": "first-795b7e65a906a8446ee6-en",
      "chapter": "45",
      "section": "45.2",
      "offset": 1346,
      "range": [
        6880,
        7324
      ],
      "source_revision": "4ed6aa83bd98458877c0b7ab5bb993714ab7ff31e04c4c7f96bec76c62b66ee3",
      "source_category": "machine_draft",
      "review_status": "machine-draft-not-reviewed",
      "role": "theorem",
      "role_basis": {
        "kind": "registered-source-environment",
        "registered_position": {
          "route": "books/woit-qtgr/2025-10-20/en/chapter-45/02-curvature-electric-and-magnetic-fields",
          "lang": "en",
          "section": "45.2",
          "signal": "named-theorem",
          "label": "Electric and magnetic fields",
          "english": "Electric and magnetic fields",
          "offset": 1205
        }
      },
      "label": "> [!theorem] Definition (Electric and magnetic fields)",
      "context": {
        "range": [
          6880,
          7324
        ],
        "quote": "\n\n> [!theorem] Definition (Electric and magnetic fields)\n> The electric and magnetic fields are two functions from $\\mathbf { R } ^ { 4 }$ to $\\mathbf { R } ^ { 3 }$ , with components given $b y$\n>\n> $$\n> E _ {j} = F _ {j 0} = - \\frac {\\partial A _ {j}}{\\partial t} + \\frac {\\partial A _ {0}}{\\partial x _ {j}}\n> $$\n>\n> $$\n> B _ {j} = \\frac {1}{2} \\epsilon_ {j k l} F _ {k l} = \\epsilon_ {j k l} \\frac {\\partial A _ {l}}{\\partial x _ {k}}\n> $$\n",
        "quote_sha256": "bb4ce0bef7405a995b8ec37bceb0353855e078fb520a42775b574e9ee1cc4f0c",
        "environment": "theorem",
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "books/woit-qtgr/2025-10-20/zh/chapter-45/02-curvature-electric-and-magnetic-fields",
          "lang": "zh-CN",
          "source_category": "machine_draft",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-fe1267b2bdf868fed7bb01dd"
    }
  ],
  "registered_positions": [
    {
      "route": "books/woit-qtgr/2025-10-20/en/chapter-45/02-curvature-electric-and-magnetic-fields",
      "lang": "en",
      "section": "45.2",
      "signal": "named-theorem",
      "label": "Electric and magnetic fields",
      "english": "Electric and magnetic fields",
      "offset": 1205
    },
    {
      "route": "books/woit-qtgr/2025-10-20/zh/chapter-45/02-curvature-electric-and-magnetic-fields",
      "lang": "zh-CN",
      "section": "45.2",
      "signal": "named-definition",
      "label": "电场与磁场",
      "english": "",
      "offset": 579
    }
  ],
  "statements": [],
  "resolved_references": [],
  "reading_order": [
    "occ-630d3a109b8156a42a8a2895",
    "occ-fe1267b2bdf868fed7bb01dd"
  ],
  "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": "8df35a9ead3a3eea44b3e1dd866af653ada41b5debe5bcb3dbeee23eeb0c28dc",
  "optional_enrichments": []
}
