"Lagrangian" meaning in All languages combined

See Lagrangian on Wiktionary

Adjective [English]

IPA: /ləˈɡɹɑ(ː)nd͡ʒi.ən/, /ləˈɡɹeɪnd͡ʒi.ən/, /læˈɡɹɑ̃ʒi.ən/ Audio: LL-Q1860 (eng)-Rho9998-Langrangean.wav
Etymology: From Lagrange + -ian. Etymology templates: {{suffix|en|Lagrange|ian}} Lagrange + -ian Head templates: {{en-adj|-}} Lagrangian (not comparable)
  1. Of or relating to Joseph Louis Lagrange. Tags: not-comparable
    Sense id: en-Lagrangian-en-adj-T9XpPiLf
  2. (mechanics) Relating to Lagrangian mechanics. Tags: not-comparable Categories (topical): Mechanics, Lagrange points Derived forms: Lagrangian asteroid, Lagrangian density, Lagrangian mechanics, Lagrangian moon, Lagrangian planet
    Sense id: en-Lagrangian-en-adj-V9do~UjJ Disambiguation of Lagrange points: 9 17 12 15 13 13 20 2 Categories (other): English entries with incorrect language header, English terms suffixed with -ian, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 8 21 7 21 17 7 18 1 Disambiguation of English terms suffixed with -ian: 8 21 6 21 15 9 19 1 Disambiguation of Pages with 1 entry: 10 21 4 23 16 7 19 1 Disambiguation of Pages with entries: 8 21 7 21 15 8 19 0 Topics: engineering, mechanical-engineering, mechanics, natural-sciences, physical-sciences
  3. (astrophysics) Of or relating to a Lagrange point. Tags: not-comparable Categories (topical): Astrophysics, Lagrange points
    Sense id: en-Lagrangian-en-adj-wYmrVYQA Disambiguation of Lagrange points: 9 17 12 15 13 13 20 2 Topics: astrophysics

Noun [English]

IPA: /ləˈɡɹɑ(ː)nd͡ʒi.ən/, /ləˈɡɹeɪnd͡ʒi.ən/, /læˈɡɹɑ̃ʒi.ən/ Audio: LL-Q1860 (eng)-Rho9998-Langrangean.wav Forms: Lagrangians [plural]
Etymology: From Lagrange + -ian. Etymology templates: {{suffix|en|Lagrange|ian}} Lagrange + -ian Head templates: {{en-noun}} Lagrangian (plural Lagrangians)
  1. (mathematics) Ellipsis of Lagrangian function. Tags: abbreviation, alt-of, ellipsis Alternative form of: Lagrangian function Categories (topical): Mathematics, Lagrange points
    Sense id: en-Lagrangian-en-noun-MI0860u- Disambiguation of Lagrange points: 9 17 12 15 13 13 20 2 Categories (other): English entries with incorrect language header, English terms suffixed with -ian, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 8 21 7 21 17 7 18 1 Disambiguation of English terms suffixed with -ian: 8 21 6 21 15 9 19 1 Disambiguation of Pages with 1 entry: 10 21 4 23 16 7 19 1 Disambiguation of Pages with entries: 8 21 7 21 15 8 19 0 Topics: mathematics, sciences
  2. (mechanics, specifically) A function summarizing the dynamics of a physical system, typically in non-relativistic contexts amounting to the kinetic energy minus the potential energy, L=T-V. Tags: specifically Categories (topical): Mechanics, Lagrange points
    Sense id: en-Lagrangian-en-noun-a~e5Wy3U Disambiguation of Lagrange points: 9 17 12 15 13 13 20 2 Categories (other): English entries with incorrect language header, English terms suffixed with -ian, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 8 21 7 21 17 7 18 1 Disambiguation of English terms suffixed with -ian: 8 21 6 21 15 9 19 1 Disambiguation of Pages with 1 entry: 10 21 4 23 16 7 19 1 Disambiguation of Pages with entries: 8 21 7 21 15 8 19 0 Topics: engineering, mechanical-engineering, mechanics, natural-sciences, physical-sciences
  3. (astrophysics) An object residing in a Lagrange point. Categories (topical): Astrophysics, Lagrange points
    Sense id: en-Lagrangian-en-noun-74mmkXae Disambiguation of Lagrange points: 9 17 12 15 13 13 20 2 Topics: astrophysics
  4. (astrophysics) Ellipsis of Lagrangian point; a Lagrange point. Tags: abbreviation, alt-of, ellipsis Alternative form of: Lagrangian point (extra: a Lagrange point) Categories (topical): Astrophysics, Lagrange points
    Sense id: en-Lagrangian-en-noun-qC~azbJ5 Disambiguation of Lagrange points: 9 17 12 15 13 13 20 2 Categories (other): English entries with incorrect language header, English terms suffixed with -ian, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 8 21 7 21 17 7 18 1 Disambiguation of English terms suffixed with -ian: 8 21 6 21 15 9 19 1 Disambiguation of Pages with 1 entry: 10 21 4 23 16 7 19 1 Disambiguation of Pages with entries: 8 21 7 21 15 8 19 0 Topics: astrophysics
  5. (quantum mechanics) Ellipsis of Lagrangian density. Tags: abbreviation, alt-of, ellipsis Alternative form of: Lagrangian density Categories (topical): Quantum mechanics
    Sense id: en-Lagrangian-en-noun-UvwUtKIn

Inflected forms

Alternative forms

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        "3": "ian"
      },
      "expansion": "Lagrange + -ian",
      "name": "suffix"
    }
  ],
  "etymology_text": "From Lagrange + -ian.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "Lagrangian (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English terms with quotations"
      ],
      "examples": [
        {
          "ref": "2018, Lars Ljungqvist and Thomas J. Sargent, Recursive macroeconomic theory, 4th edition, MIT Press, page 129:",
          "text": "After studying a recursive formulation and the associated Bellman equation, in section 5.5 we analyze a Lagrangian formulation that provides useful insights about how Lagrange multipliers on transition laws relate to gradients of value functions.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Of or relating to Joseph Louis Lagrange."
      ],
      "tags": [
        "not-comparable"
      ]
    },
    {
      "categories": [
        "en:Mechanics"
      ],
      "glosses": [
        "Relating to Lagrangian mechanics."
      ],
      "links": [
        [
          "mechanics",
          "mechanics"
        ],
        [
          "Lagrangian mechanics",
          "Lagrangian mechanics"
        ]
      ],
      "raw_glosses": [
        "(mechanics) Relating to Lagrangian mechanics."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "engineering",
        "mechanical-engineering",
        "mechanics",
        "natural-sciences",
        "physical-sciences"
      ]
    },
    {
      "categories": [
        "en:Astrophysics"
      ],
      "glosses": [
        "Of or relating to a Lagrange point."
      ],
      "links": [
        [
          "astrophysics",
          "astrophysics"
        ],
        [
          "Lagrange point",
          "Lagrange point"
        ]
      ],
      "raw_glosses": [
        "(astrophysics) Of or relating to a Lagrange point."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "astrophysics"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ləˈɡɹɑ(ː)nd͡ʒi.ən/"
    },
    {
      "ipa": "/ləˈɡɹeɪnd͡ʒi.ən/"
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      "ipa": "/læˈɡɹɑ̃ʒi.ən/"
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    }
  ],
  "word": "Lagrangian"
}

{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English eponyms",
    "English lemmas",
    "English nouns",
    "English terms suffixed with -ian",
    "English uncomparable adjectives",
    "Pages with 1 entry",
    "Pages with entries",
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      "expansion": "Lagrange + -ian",
      "name": "suffix"
    }
  ],
  "etymology_text": "From Lagrange + -ian.",
  "forms": [
    {
      "form": "Lagrangians",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Lagrangian (plural Lagrangians)",
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "alt_of": [
        {
          "word": "Lagrangian function"
        }
      ],
      "categories": [
        "English ellipses",
        "en:Mathematics"
      ],
      "glosses": [
        "Ellipsis of Lagrangian function."
      ],
      "links": [
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          "mathematics",
          "mathematics"
        ],
        [
          "Lagrangian function",
          "Lagrangian function#English"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Ellipsis of Lagrangian function."
      ],
      "tags": [
        "abbreviation",
        "alt-of",
        "ellipsis"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mechanics"
      ],
      "glosses": [
        "A function summarizing the dynamics of a physical system, typically in non-relativistic contexts amounting to the kinetic energy minus the potential energy, L=T-V."
      ],
      "links": [
        [
          "mechanics",
          "mechanics"
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        [
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          "dynamic"
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          "system",
          "system"
        ],
        [
          "non-relativistic",
          "non-relativistic"
        ],
        [
          "kinetic energy",
          "kinetic energy"
        ],
        [
          "potential energy",
          "potential energy"
        ]
      ],
      "raw_glosses": [
        "(mechanics, specifically) A function summarizing the dynamics of a physical system, typically in non-relativistic contexts amounting to the kinetic energy minus the potential energy, L=T-V."
      ],
      "tags": [
        "specifically"
      ],
      "topics": [
        "engineering",
        "mechanical-engineering",
        "mechanics",
        "natural-sciences",
        "physical-sciences"
      ]
    },
    {
      "categories": [
        "en:Astrophysics"
      ],
      "glosses": [
        "An object residing in a Lagrange point."
      ],
      "links": [
        [
          "astrophysics",
          "astrophysics"
        ],
        [
          "Lagrange point",
          "Lagrange point"
        ]
      ],
      "raw_glosses": [
        "(astrophysics) An object residing in a Lagrange point."
      ],
      "topics": [
        "astrophysics"
      ]
    },
    {
      "alt_of": [
        {
          "extra": "a Lagrange point",
          "word": "Lagrangian point"
        }
      ],
      "categories": [
        "English ellipses",
        "en:Astrophysics"
      ],
      "glosses": [
        "Ellipsis of Lagrangian point; a Lagrange point."
      ],
      "links": [
        [
          "astrophysics",
          "astrophysics"
        ],
        [
          "Lagrangian point",
          "Lagrangian point#English"
        ],
        [
          "Lagrange point",
          "Lagrange point#English"
        ]
      ],
      "raw_glosses": [
        "(astrophysics) Ellipsis of Lagrangian point; a Lagrange point."
      ],
      "tags": [
        "abbreviation",
        "alt-of",
        "ellipsis"
      ],
      "topics": [
        "astrophysics"
      ]
    },
    {
      "alt_of": [
        {
          "word": "Lagrangian density"
        }
      ],
      "categories": [
        "English ellipses",
        "en:Quantum mechanics"
      ],
      "glosses": [
        "Ellipsis of Lagrangian density."
      ],
      "links": [
        [
          "quantum mechanics",
          "quantum mechanics"
        ],
        [
          "Lagrangian density",
          "Lagrangian density#English"
        ]
      ],
      "qualifier": "quantum mechanics",
      "raw_glosses": [
        "(quantum mechanics) Ellipsis of Lagrangian density."
      ],
      "tags": [
        "abbreviation",
        "alt-of",
        "ellipsis"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ləˈɡɹɑ(ː)nd͡ʒi.ən/"
    },
    {
      "ipa": "/ləˈɡɹeɪnd͡ʒi.ən/"
    },
    {
      "ipa": "/læˈɡɹɑ̃ʒi.ən/"
    },
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    }
  ],
  "word": "Lagrangian"
}

Download raw JSONL data for Lagrangian meaning in All languages combined (6.0kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-02-26 from the enwiktionary dump dated 2025-02-21 using wiktextract (ce0be54 and f2e72e5). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.