"phase space" meaning in English

See phase space in All languages combined, or Wiktionary

Noun

Forms: phase spaces [plural]
Etymology: The concept was developed in the late 19th century by Ludwig Boltzmann, Henri Poincaré and Josiah Willard Gibbs. Head templates: {{en-noun|~}} phase space (countable and uncountable, plural phase spaces)
  1. (mathematics, physics, dynamical system theory) Given a (dynamical) system, any topological space such that every point in the space's underlying set uniquely represents a state of the system and every possible state is represented by some point; Tags: countable, uncountable Categories (topical): Mathematics, Physics, Cybernetics
    Sense id: en-phase_space-en-noun-i90O-pAO Disambiguation of Cybernetics: 51 49 Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup, English terms with non-redundant non-automated sortkeys Disambiguation of English entries with incorrect language header: 49 51 Disambiguation of English entries with topic categories using raw markup: 51 49 Disambiguation of English terms with non-redundant non-automated sortkeys: 51 49 Topics: mathematics, natural-sciences, physical-sciences, physics, sciences
  2. (mathematics, physics, dynamical system theory) Given a (dynamical) system, any topological space such that every point in the space's underlying set uniquely represents a state of the system and every possible state is represented by some point; Tags: countable, uncountable Categories (topical): Mathematics, Physics, Cybernetics Synonyms: phase-space Hyponyms: phase line, phase plane Derived forms: phase space analysis, phase space trajectory Related terms: configuration space, parameter space, state space, phase diagram, phase integral, phase portrait
    Sense id: en-phase_space-en-noun-ZADF~DEu Disambiguation of Cybernetics: 51 49 Categories (other): English entries with incorrect language header, English entries with topic categories using raw markup, English terms with non-redundant non-automated sortkeys Disambiguation of English entries with incorrect language header: 49 51 Disambiguation of English entries with topic categories using raw markup: 51 49 Disambiguation of English terms with non-redundant non-automated sortkeys: 51 49 Topics: mathematics, natural-sciences, physical-sciences, physics, sciences
The following are not (yet) sense-disambiguated
Translations (topological space of states of a system): espai de fases [masculine] (Catalan), espai fàsic [masculine] (Catalan), 相空間 (Chinese Mandarin), 相空间 (xiàngkōngjiān) (Chinese Mandarin), fázový prostor [masculine] (Czech), faserum [neuter] (Danish), faseruimte [feminine] (Dutch), faasiavaruus (Finnish), espace des phases [masculine] (French), Phasenraum [masculine] (German), ruang fase (Indonesian), spazio delle fasi [masculine] (Italian), 位相空間 (isō kūkan) (alt: いそう くうかん) (Japanese), 위상공간 (wisanggonggan) (alt: 位相空間) (Korean), przestrzeń fazowa [feminine] (Polish), espaço de fases [Brazil, masculine] (Portuguese), espaço de fase [Portugal, masculine] (Portuguese), espaço fásico [masculine] (Portuguese), spațiu de fază [neuter] (Romanian), фа́зовое простра́нство (fázovoje prostránstvo) [neuter] (Russian), espacio fásico [masculine] (Spanish), espacio de fases [masculine] (Spanish), fasrum [neuter] (Swedish), фа́зовий про́стір (fázovyj próstir) [masculine] (Ukrainian)
Disambiguation of 'topological space of states of a system': 47 53

Inflected forms

Download JSON data for phase space meaning in English (10.5kB)

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      "code": "ca",
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      "sense": "topological space of states of a system",
      "tags": [
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      "word": "espai de fases"
    },
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      "_dis1": "47 53",
      "code": "ca",
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      "roman": "xiàngkōngjiān",
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      "word": "相空间"
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      "word": "faasiavaruus"
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      "code": "fr",
      "lang": "French",
      "sense": "topological space of states of a system",
      "tags": [
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      "word": "espace des phases"
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      "code": "de",
      "lang": "German",
      "sense": "topological space of states of a system",
      "tags": [
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      "word": "Phasenraum"
    },
    {
      "_dis1": "47 53",
      "code": "id",
      "lang": "Indonesian",
      "sense": "topological space of states of a system",
      "word": "ruang fase"
    },
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      "_dis1": "47 53",
      "code": "it",
      "lang": "Italian",
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      "tags": [
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      "word": "spazio delle fasi"
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      "_dis1": "47 53",
      "alt": "いそう くうかん",
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      "lang": "Japanese",
      "roman": "isō kūkan",
      "sense": "topological space of states of a system",
      "word": "位相空間"
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      "_dis1": "47 53",
      "alt": "位相空間",
      "code": "ko",
      "lang": "Korean",
      "roman": "wisanggonggan",
      "sense": "topological space of states of a system",
      "word": "위상공간"
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      "_dis1": "47 53",
      "code": "pl",
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      "sense": "topological space of states of a system",
      "tags": [
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      "word": "przestrzeń fazowa"
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      "code": "pt",
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      "word": "espaço de fases"
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      "word": "espaço de fase"
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      "word": "spațiu de fază"
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      "roman": "fázovoje prostránstvo",
      "sense": "topological space of states of a system",
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      "word": "фа́зовое простра́нство"
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      "word": "espacio fásico"
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      "roman": "fázovyj próstir",
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      "word": "фа́зовий про́стір"
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    "Henri Poincaré",
    "Josiah Willard Gibbs",
    "Ludwig Boltzmann",
    "phase space"
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}
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    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "topological space of states of a system",
      "tags": [
        "masculine"
      ],
      "word": "espai fàsic"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "topological space of states of a system",
      "word": "相空間"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "xiàngkōngjiān",
      "sense": "topological space of states of a system",
      "word": "相空间"
    },
    {
      "code": "cs",
      "lang": "Czech",
      "sense": "topological space of states of a system",
      "tags": [
        "masculine"
      ],
      "word": "fázový prostor"
    },
    {
      "code": "da",
      "lang": "Danish",
      "sense": "topological space of states of a system",
      "tags": [
        "neuter"
      ],
      "word": "faserum"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "topological space of states of a system",
      "tags": [
        "feminine"
      ],
      "word": "faseruimte"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "topological space of states of a system",
      "word": "faasiavaruus"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "topological space of states of a system",
      "tags": [
        "masculine"
      ],
      "word": "espace des phases"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "topological space of states of a system",
      "tags": [
        "masculine"
      ],
      "word": "Phasenraum"
    },
    {
      "code": "id",
      "lang": "Indonesian",
      "sense": "topological space of states of a system",
      "word": "ruang fase"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "topological space of states of a system",
      "tags": [
        "masculine"
      ],
      "word": "spazio delle fasi"
    },
    {
      "alt": "いそう くうかん",
      "code": "ja",
      "lang": "Japanese",
      "roman": "isō kūkan",
      "sense": "topological space of states of a system",
      "word": "位相空間"
    },
    {
      "alt": "位相空間",
      "code": "ko",
      "lang": "Korean",
      "roman": "wisanggonggan",
      "sense": "topological space of states of a system",
      "word": "위상공간"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "topological space of states of a system",
      "tags": [
        "feminine"
      ],
      "word": "przestrzeń fazowa"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "topological space of states of a system",
      "tags": [
        "Brazil",
        "masculine"
      ],
      "word": "espaço de fases"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "topological space of states of a system",
      "tags": [
        "Portugal",
        "masculine"
      ],
      "word": "espaço de fase"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "topological space of states of a system",
      "tags": [
        "masculine"
      ],
      "word": "espaço fásico"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "topological space of states of a system",
      "tags": [
        "neuter"
      ],
      "word": "spațiu de fază"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "fázovoje prostránstvo",
      "sense": "topological space of states of a system",
      "tags": [
        "neuter"
      ],
      "word": "фа́зовое простра́нство"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "topological space of states of a system",
      "tags": [
        "masculine"
      ],
      "word": "espacio fásico"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "topological space of states of a system",
      "tags": [
        "masculine"
      ],
      "word": "espacio de fases"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "topological space of states of a system",
      "tags": [
        "neuter"
      ],
      "word": "fasrum"
    },
    {
      "code": "uk",
      "lang": "Ukrainian",
      "roman": "fázovyj próstir",
      "sense": "topological space of states of a system",
      "tags": [
        "masculine"
      ],
      "word": "фа́зовий про́стір"
    }
  ],
  "wikipedia": [
    "Henri Poincaré",
    "Josiah Willard Gibbs",
    "Ludwig Boltzmann",
    "phase space"
  ],
  "word": "phase space"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c and c9440ce). 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.