{
"schema_version": 1,
"kind": "ConceptView",
"producer": "concept-view-1",
"concept_id": "urn:uuid:6af418ab-a35e-47b5-8754-b4fbdaf3ae8e",
"labels": {
"zh-CN": "拉格朗日量",
"en": "Lagrangian"
},
"alternative_labels": [],
"scope_note": "",
"identity_status": "active",
"identity_revision": "82708770adfa10c96714c138de109d19099c7780e09e3f29cab71e3efe067043",
"occurrences": [
{
"concept_id": "urn:uuid:6af418ab-a35e-47b5-8754-b4fbdaf3ae8e",
"book_id": "woit-qtgr",
"edition_id": "2025-10-20",
"lang": "zh-CN",
"route": "books/woit-qtgr/2025-10-20/zh/chapter-35/01-lagrangian-mechanics",
"anchor": "first-70e7db28dd52224668ed-zh",
"chapter": "35",
"section": "35.1",
"offset": 375,
"range": [
7971,
8489
],
"source_revision": "48e2b265db4401373b870b6f5b8ebf70c3e2bf2b83317cf43c97995540fe4a7c",
"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-35/01-lagrangian-mechanics",
"lang": "zh-CN",
"section": "35.1",
"signal": "named-definition",
"label": "拉格朗日量",
"english": "",
"offset": 305
}
},
"label": "> [!definition] 定义 · 拉格朗日量",
"context": {
"range": [
7971,
8489
],
"quote": "\n\n> [!definition] 定义 · 拉格朗日量\n>\n> 位形空间为 $\\mathbb R^d$ 的经典系统的[拉格朗日量(Lagrangian)](../../../../../concepts/mechanics/lagrangian)是函数\n>\n> $$\n> L:(\\mathbf q,\\mathbf v)\\in\\mathbb R^d\\times\\mathbb R^d\\longmapsto L(\\mathbf q,\\mathbf v)\\in\\mathbb R.\n> $$\n",
"quote_sha256": "daae6a24c8220c4165dfc0907ca5fd6c28405866a829c4a51a1dbc1442feb749",
"environment": "definition",
"excerpt_omitted": false
},
"parallel_readings": [
{
"route": "books/woit-qtgr/2025-10-20/en/chapter-35/01-lagrangian-mechanics",
"lang": "en",
"source_category": "machine_draft",
"basis": "registered-book-edition-section-language-context; not-concept-equivalence"
}
],
"id": "occ-90e51a9b4b6bc09c85e6f9e1"
},
{
"concept_id": "urn:uuid:6af418ab-a35e-47b5-8754-b4fbdaf3ae8e",
"book_id": "woit-qtgr",
"edition_id": "2025-10-20",
"lang": "zh-CN",
"route": "books/woit-qtgr/2025-10-20/zh/chapter-35/01-lagrangian-mechanics",
"anchor": "first-cfd2d2741d204b299a6b-zh",
"chapter": "35",
"section": "35.1",
"offset": 435,
"range": [
8031,
8322
],
"source_revision": "48e2b265db4401373b870b6f5b8ebf70c3e2bf2b83317cf43c97995540fe4a7c",
"source_category": "machine_draft",
"review_status": "machine-draft-not-reviewed",
"role": "occurrence",
"role_basis": {
"kind": "explicit-source-uuid-marker"
},
"label": "拉格朗日量(Lagrangian)",
"context": {
"range": [
7971,
8489
],
"quote": "\n\n> [!definition] 定义 · 拉格朗日量\n>\n> 位形空间为 $\\mathbb R^d$ 的经典系统的[拉格朗日量(Lagrangian)](../../../../../concepts/mechanics/lagrangian)是函数\n>\n> $$\n> L:(\\mathbf q,\\mathbf v)\\in\\mathbb R^d\\times\\mathbb R^d\\longmapsto L(\\mathbf q,\\mathbf v)\\in\\mathbb R.\n> $$\n",
"quote_sha256": "daae6a24c8220c4165dfc0907ca5fd6c28405866a829c4a51a1dbc1442feb749",
"environment": "definition",
"excerpt_omitted": false
},
"parallel_readings": [
{
"route": "books/woit-qtgr/2025-10-20/en/chapter-35/01-lagrangian-mechanics",
"lang": "en",
"source_category": "machine_draft",
"basis": "registered-book-edition-section-language-context; not-concept-equivalence"
}
],
"id": "occ-12cd2ca0df1b06fdc36c8a42"
},
{
"concept_id": "urn:uuid:6af418ab-a35e-47b5-8754-b4fbdaf3ae8e",
"book_id": "woit-qtgr",
"edition_id": "2025-10-20",
"lang": "en",
"route": "books/woit-qtgr/2025-10-20/en/chapter-35/01-lagrangian-mechanics",
"anchor": "first-cfd2d2741d204b299a6b-en",
"chapter": "35",
"section": "35.1",
"offset": 514,
"range": [
7272,
7812
],
"source_revision": "3189a42e145bef0e89ec7c91298993eba1eee4ae7d40b3024fca2afa0c57535c",
"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/en/chapter-35/01-lagrangian-mechanics",
"lang": "en",
"section": "35.1",
"signal": "named-definition",
"label": "Lagrangian",
"english": "Lagrangian",
"offset": 444
}
},
"label": "> [!definition] Definition · Lagrangian",
"context": {
"range": [
7272,
7812
],
"quote": "\n\n> [!definition] Definition · Lagrangian\n>\n> The [Lagrangian](../../../../../concepts/mechanics/lagrangian) for a classical system with configuration space $\\mathbb R^d$ is a function\n>\n> $$\n> L:(\\mathbf q,\\mathbf v)\\in\\mathbb R^d\\times\\mathbb R^d\\longmapsto L(\\mathbf q,\\mathbf v)\\in\\mathbb R.\n> $$\n",
"quote_sha256": "74adab775f5ac59b96ff89dcfdd3a12d8813be849489a126dcedcc24ef7cce4c",
"environment": "definition",
"excerpt_omitted": false
},
"parallel_readings": [
{
"route": "books/woit-qtgr/2025-10-20/zh/chapter-35/01-lagrangian-mechanics",
"lang": "zh-CN",
"source_category": "machine_draft",
"basis": "registered-book-edition-section-language-context; not-concept-equivalence"
}
],
"id": "occ-54f92f3654d5935c3e11c2b1"
},
{
"concept_id": "urn:uuid:6af418ab-a35e-47b5-8754-b4fbdaf3ae8e",
"book_id": "woit-qtgr",
"edition_id": "2025-10-20",
"lang": "en",
"route": "books/woit-qtgr/2025-10-20/en/chapter-35/01-lagrangian-mechanics",
"anchor": "first-cfd2d2741d204b299a6b-en",
"chapter": "35",
"section": "35.1",
"offset": 565,
"range": [
7323,
7572
],
"source_revision": "3189a42e145bef0e89ec7c91298993eba1eee4ae7d40b3024fca2afa0c57535c",
"source_category": "machine_draft",
"review_status": "machine-draft-not-reviewed",
"role": "occurrence",
"role_basis": {
"kind": "explicit-source-uuid-marker"
},
"label": "Lagrangian",
"context": {
"range": [
7272,
7812
],
"quote": "\n\n> [!definition] Definition · Lagrangian\n>\n> The [Lagrangian](../../../../../concepts/mechanics/lagrangian) for a classical system with configuration space $\\mathbb R^d$ is a function\n>\n> $$\n> L:(\\mathbf q,\\mathbf v)\\in\\mathbb R^d\\times\\mathbb R^d\\longmapsto L(\\mathbf q,\\mathbf v)\\in\\mathbb R.\n> $$\n",
"quote_sha256": "74adab775f5ac59b96ff89dcfdd3a12d8813be849489a126dcedcc24ef7cce4c",
"environment": "definition",
"excerpt_omitted": false
},
"parallel_readings": [
{
"route": "books/woit-qtgr/2025-10-20/zh/chapter-35/01-lagrangian-mechanics",
"lang": "zh-CN",
"source_category": "machine_draft",
"basis": "registered-book-edition-section-language-context; not-concept-equivalence"
}
],
"id": "occ-4679b4a0454de3208b02ed4a"
}
],
"registered_positions": [
{
"route": "books/woit-qtgr/2025-10-20/en/chapter-35/01-lagrangian-mechanics",
"lang": "en",
"section": "35.1",
"signal": "named-definition",
"label": "Lagrangian",
"english": "Lagrangian",
"offset": 444
},
{
"route": "books/woit-qtgr/2025-10-20/en/chapter-35/01-lagrangian-mechanics",
"lang": "en",
"section": "35.1",
"signal": "term-mark",
"label": "Lagrangian",
"english": "Lagrangian",
"offset": 494
},
{
"route": "books/woit-qtgr/2025-10-20/zh/chapter-35/01-lagrangian-mechanics",
"lang": "zh-CN",
"section": "35.1",
"signal": "term-mark",
"label": "拉格朗日量",
"english": "Lagrangian",
"offset": 364
},
{
"route": "books/woit-qtgr/2025-10-20/zh/chapter-35/01-lagrangian-mechanics",
"lang": "zh-CN",
"section": "35.1",
"signal": "named-definition",
"label": "拉格朗日量",
"english": "",
"offset": 305
}
],
"statements": [],
"resolved_references": [],
"reading_order": [
"occ-90e51a9b4b6bc09c85e6f9e1",
"occ-12cd2ca0df1b06fdc36c8a42",
"occ-54f92f3654d5935c3e11c2b1",
"occ-4679b4a0454de3208b02ed4a"
],
"recorded_dependencies": [],
"reading_paths": [],
"coverage": {
"registered_positions": 4,
"located_occurrences": 4,
"whole_book_search_complete": false,
"registered_positions_truncated": false,
"independent_human_review_implied": false
},
"unresolved": [],
"base_revision": "2036b7023385ffc2a6f7472ca345da6e9d6220eb9f50ba254ae1f721c474fe96",
"optional_enrichments": []
}