"symplectic" meaning in All languages combined

See symplectic on Wiktionary

Adjective [English]

IPA: /sɪmˈplɛktɪk/
Rhymes: -ɛktɪk Etymology: A calque of complex, coined by Hermann Weyl in his 1939 book The Classical Groups: Their Invariants and Representations. From Ancient Greek συμπλεκτικός (sumplektikós), from συμ (sum) (variant of σύν (sún)), + πλεκτικός (plektikós) (from πλέκω (plékō)); modelled on complex (from Latin complexus (“braided together”), from com- (“together”) + plectere (“to weave, braid”)). The symplectic group has previously been called the line complex group. Etymology templates: {{der|en|grc|συμπλεκτικός}} Ancient Greek συμπλεκτικός (sumplektikós) Head templates: {{en-adj|-}} symplectic (not comparable)
  1. Placed in or among, as if woven together. Tags: not-comparable
    Sense id: en-symplectic-en-adj-oaEV4-KS
  2. (group theory, of a group) Whose characteristic abelian subgroups are cyclic. Tags: not-comparable Categories (topical): Group theory
    Sense id: en-symplectic-en-adj-cNhYCwyO Topics: group-theory, mathematics, sciences
  3. (mathematics, multilinear algebra, of a bilinear form) That is alternating and nondegenerate. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-symplectic-en-adj-s-rZZGO- Topics: mathematics, sciences
  4. (mathematics, multilinear algebra, of a vector space) That is equipped with an alternating nondegenerate bilinear form. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-symplectic-en-adj-iqRkwTfI Categories (other): English terms prefixed with sym- Disambiguation of English terms prefixed with sym-: 7 6 8 14 12 17 9 16 11 Topics: mathematics, sciences
  5. (mathematics) Of or pertaining to (the geometry of) a differentiable manifold equipped with a closed nondegenerate bilinear form. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-symplectic-en-adj-LLPk~MI~ Categories (other): English terms prefixed with sym- Disambiguation of English terms prefixed with sym-: 7 6 8 14 12 17 9 16 11 Topics: mathematics, sciences
  6. That moves in the same direction as a system of synchronized waves. Tags: not-comparable
    Sense id: en-symplectic-en-adj-SbTp1iKg Categories (other): English terms prefixed with sym- Disambiguation of English terms prefixed with sym-: 7 6 8 14 12 17 9 16 11
  7. (petrology, mineralogy) Of or pertaining to a symplectite; symplectitic. Tags: not-comparable Categories (topical): Mineralogy, Petrology
    Sense id: en-symplectic-en-adj-qTRFkZNB Topics: chemistry, geography, geology, mineralogy, natural-sciences, petrology, physical-sciences
The following are not (yet) sense-disambiguated
Derived forms: microsymplectic, symplectic cut, symplectic form (english: symplectic bilinear form), symplectic group, symplectic invariant (english: structure that is invariant under a symplectic form (regarded as a mapping)), symplectic matrix, symplectic Clifford algebra Related terms: symplectomorphism

Noun [English]

IPA: /sɪmˈplɛktɪk/ Forms: symplectics [plural]
Rhymes: -ɛktɪk Etymology: A calque of complex, coined by Hermann Weyl in his 1939 book The Classical Groups: Their Invariants and Representations. From Ancient Greek συμπλεκτικός (sumplektikós), from συμ (sum) (variant of σύν (sún)), + πλεκτικός (plektikós) (from πλέκω (plékō)); modelled on complex (from Latin complexus (“braided together”), from com- (“together”) + plectere (“to weave, braid”)). The symplectic group has previously been called the line complex group. Etymology templates: {{der|en|grc|συμπλεκτικός}} Ancient Greek συμπλεκτικός (sumplektikós) Head templates: {{en-noun}} symplectic (plural symplectics)
  1. (mathematics) A symplectic bilinear form, manifold, geometry, etc. Categories (topical): Mathematics
    Sense id: en-symplectic-en-noun-nVxKaLV4 Categories (other): English entries with incorrect language header, English terms prefixed with sym-, English terms with non-redundant non-automated sortkeys, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 6 6 3 17 13 15 8 23 10 Disambiguation of English terms prefixed with sym-: 7 6 8 14 12 17 9 16 11 Disambiguation of English terms with non-redundant non-automated sortkeys: 5 6 5 16 13 15 8 22 10 Disambiguation of Pages with 1 entry: 3 6 2 18 14 16 7 25 10 Disambiguation of Pages with entries: 6 6 1 17 14 17 7 23 10 Topics: mathematics, sciences
  2. (ichthyology) A bone in the teleostean fishes that forms the lower ossification of the suspensorium, and which articulates below with the quadrate bone by which it is firmly held. Categories (topical): Ichthyology
    Sense id: en-symplectic-en-noun-o57D2z7X Categories (other): English terms prefixed with sym- Disambiguation of English terms prefixed with sym-: 7 6 8 14 12 17 9 16 11 Topics: biology, ichthyology, natural-sciences, zoology

Inflected forms

Alternative forms

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  "etymology_text": "A calque of complex, coined by Hermann Weyl in his 1939 book The Classical Groups: Their Invariants and Representations. From Ancient Greek συμπλεκτικός (sumplektikós), from συμ (sum) (variant of σύν (sún)), + πλεκτικός (plektikós) (from πλέκω (plékō)); modelled on complex (from Latin complexus (“braided together”), from com- (“together”) + plectere (“to weave, braid”)).\nThe symplectic group has previously been called the line complex group.",
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    {
      "args": {
        "1": "-"
      },
      "expansion": "symplectic (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "symplectomorphism"
    }
  ],
  "senses": [
    {
      "glosses": [
        "Placed in or among, as if woven together."
      ],
      "tags": [
        "not-comparable"
      ]
    },
    {
      "categories": [
        "en:Group theory"
      ],
      "glosses": [
        "Whose characteristic abelian subgroups are cyclic."
      ],
      "links": [
        [
          "group theory",
          "group theory"
        ],
        [
          "group",
          "group"
        ],
        [
          "characteristic",
          "characteristic"
        ],
        [
          "abelian",
          "abelian"
        ],
        [
          "cyclic",
          "cyclic"
        ]
      ],
      "raw_glosses": [
        "(group theory, of a group) Whose characteristic abelian subgroups are cyclic."
      ],
      "raw_tags": [
        "of a group"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "group-theory",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "That is alternating and nondegenerate."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "bilinear form",
          "bilinear form"
        ],
        [
          "alternating",
          "alternating"
        ],
        [
          "nondegenerate",
          "nondegenerate"
        ]
      ],
      "qualifier": "multilinear algebra",
      "raw_glosses": [
        "(mathematics, multilinear algebra, of a bilinear form) That is alternating and nondegenerate."
      ],
      "raw_tags": [
        "of a bilinear form"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "That is equipped with an alternating nondegenerate bilinear form."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "vector space",
          "vector space"
        ],
        [
          "alternating",
          "alternating"
        ],
        [
          "nondegenerate",
          "nondegenerate"
        ],
        [
          "bilinear form",
          "bilinear form"
        ]
      ],
      "qualifier": "multilinear algebra",
      "raw_glosses": [
        "(mathematics, multilinear algebra, of a vector space) That is equipped with an alternating nondegenerate bilinear form."
      ],
      "raw_tags": [
        "of a vector space"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with quotations",
        "Quotation templates to be cleaned",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "1995, V. I. Arnold, “Some remarks on symplectic monodromy of Milnor fibrations”, in Helmut Hofer, Clifford H. Taubes, Alan Weinstein, Eduard Zehnder, editors, The Floer Memorial Volume, Birkhäuser Verlag, page 99:",
          "text": "There exist interesting and unexplored relations between symplectic geometry and the theory of critical points of holomorphic functions.",
          "type": "quote"
        },
        {
          "text": "1997, C. H. Cushman-de Vries (translator), Richard H. Cushman, Gijs M. Tuynman (translation editors), Jean-Marie Souriau, Structure of Dynamical Systems: A Symplectic View of Physics, Springer Science & Business Media (Birkhäuser)."
        },
        {
          "text": "2003, Fabrizio Catanese, Gang Tian (editors), Symplectic 4-Manifolds and Algebraic Surfaces: Lectures given at the C.I.M.E Summer School, Springer, Lecture Notes in Mathematics No. 1938."
        },
        {
          "ref": "2003, Yakov Eliashberg, Boris A. Khesin, François Lalonde, editors, Symplectic and Contact Topology: Interactions and Perspectives, American Mathematical Society:",
          "type": "quote"
        },
        {
          "ref": "2003, Maung Min-Oo, “The Dirac Operator in Geometry and Physics”, in Steen Markvorsen, Maung Min-Oo, editors, Global Riemannian Geometry: Curvature and Topology, Springer, page 72:",
          "text": "In symplectic geometry, there is a notion of fibrations #x5C;pi#x3A;P#x5C;rightarrowM with a symplectic manifold F as fiber, where the structure group is the group of (exact) Hamiltonian symplectomorphisms of the fiber. These are called symplectic fibrations. If the base manifold (M,#x5C;omega#x5F;M) is also symplectic, there is a weak coupling construction, originally due to Thurston, of defining a symplectic structure on the total space P.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Of or pertaining to (the geometry of) a differentiable manifold equipped with a closed nondegenerate bilinear form."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "geometry",
          "geometry"
        ],
        [
          "differentiable",
          "differentiable"
        ],
        [
          "manifold",
          "manifold"
        ],
        [
          "closed",
          "closed"
        ],
        [
          "nondegenerate",
          "nondegenerate"
        ],
        [
          "bilinear form",
          "bilinear form"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Of or pertaining to (the geometry of) a differentiable manifold equipped with a closed nondegenerate bilinear form."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "glosses": [
        "That moves in the same direction as a system of synchronized waves."
      ],
      "links": [
        [
          "synchronized",
          "synchronized"
        ],
        [
          "wave",
          "wave"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    },
    {
      "categories": [
        "en:Mineralogy",
        "en:Petrology"
      ],
      "glosses": [
        "Of or pertaining to a symplectite; symplectitic."
      ],
      "links": [
        [
          "petrology",
          "petrology"
        ],
        [
          "mineralogy",
          "mineralogy"
        ],
        [
          "symplectite",
          "symplectite"
        ],
        [
          "symplectitic",
          "symplectitic#English"
        ]
      ],
      "raw_glosses": [
        "(petrology, mineralogy) Of or pertaining to a symplectite; symplectitic."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "chemistry",
        "geography",
        "geology",
        "mineralogy",
        "natural-sciences",
        "petrology",
        "physical-sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/sɪmˈplɛktɪk/"
    },
    {
      "rhymes": "-ɛktɪk"
    }
  ],
  "wikipedia": [
    "Hermann Weyl",
    "The Classical Groups"
  ],
  "word": "symplectic"
}

{
  "categories": [
    "English adjectives",
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms derived from Ancient Greek",
    "English terms prefixed with sym-",
    "English terms with non-redundant non-automated sortkeys",
    "English uncomparable adjectives",
    "Pages with 1 entry",
    "Pages with entries",
    "Rhymes:English/ɛktɪk",
    "Rhymes:English/ɛktɪk/3 syllables"
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "grc",
        "3": "συμπλεκτικός"
      },
      "expansion": "Ancient Greek συμπλεκτικός (sumplektikós)",
      "name": "der"
    }
  ],
  "etymology_text": "A calque of complex, coined by Hermann Weyl in his 1939 book The Classical Groups: Their Invariants and Representations. From Ancient Greek συμπλεκτικός (sumplektikós), from συμ (sum) (variant of σύν (sún)), + πλεκτικός (plektikós) (from πλέκω (plékō)); modelled on complex (from Latin complexus (“braided together”), from com- (“together”) + plectere (“to weave, braid”)).\nThe symplectic group has previously been called the line complex group.",
  "forms": [
    {
      "form": "symplectics",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "symplectic (plural symplectics)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English terms with quotations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "1967, Journal of Mathematics and Mechanics, volume 16, number 1, Indiana University, page 339:",
          "text": "The structure of stable symplectics on finite dimensional spaces has been studied by Krein [8], Gelfand & Lidskii [9], and Moser [10] in work of considerable practical importance.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A symplectic bilinear form, manifold, geometry, etc."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A symplectic bilinear form, manifold, geometry, etc."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "English terms with quotations",
        "en:Ichthyology"
      ],
      "examples": [
        {
          "ref": "1914, The Philippine Journal of Science, Volume 9, page 27:",
          "text": "The symplectics (9) consist of a somewhat curved central triangular portion with the base upward, and anteriorly and posteriorly from this extends a wing-like process.",
          "type": "quote"
        },
        {
          "ref": "1965, Agra University Journal of Research: Science, Volume 14, page 71:",
          "text": "The symplectics (Fig. 8, sym) are thin slender bones placed vertically in between the quadrates and the hyomandibulars.",
          "type": "quote"
        },
        {
          "ref": "1967, Tyson R. Roberts, Studies on the Osteology and Phylogeny of Characoid Fishes, page 59:",
          "text": "In many teleosts, on the other hand, including the catfishes, the symplectics have been entirely lost.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A bone in the teleostean fishes that forms the lower ossification of the suspensorium, and which articulates below with the quadrate bone by which it is firmly held."
      ],
      "links": [
        [
          "ichthyology",
          "ichthyology"
        ],
        [
          "bone",
          "bone"
        ],
        [
          "teleostean",
          "teleostean"
        ],
        [
          "fish",
          "fish"
        ],
        [
          "ossification",
          "ossification"
        ],
        [
          "suspensorium",
          "suspensorium"
        ],
        [
          "articulate",
          "articulate"
        ],
        [
          "quadrate bone",
          "quadrate bone"
        ]
      ],
      "raw_glosses": [
        "(ichthyology) A bone in the teleostean fishes that forms the lower ossification of the suspensorium, and which articulates below with the quadrate bone by which it is firmly held."
      ],
      "topics": [
        "biology",
        "ichthyology",
        "natural-sciences",
        "zoology"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/sɪmˈplɛktɪk/"
    },
    {
      "rhymes": "-ɛktɪk"
    }
  ],
  "wikipedia": [
    "Hermann Weyl",
    "The Classical Groups"
  ],
  "word": "symplectic"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-01 from the enwiktionary dump dated 2024-10-02 using wiktextract (d49d402 and a5af179). 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.

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