symplectic

a. 偶对的; 耦对; 续骨

发音

/sɪmˈplɛktɪk/

词形变化

symplectics 复数 symplectics

别名

simplectic

释义与例句

n.
  1. 1.

    A symplectic bilinear form, manifold, geometry, etc.

    数学
  2. 2.

    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.

    生物 动物学
adj.
  1. 1.

    Placed in or among, as if woven together.

  2. 2.

    Whose characteristic abelian subgroups are cyclic.

    数学
  3. 3.

    That is alternating and nondegenerate.

    数学
  4. 4.

    That is equipped with an alternating nondegenerate bilinear form.

    数学
  5. 5.

    Of or pertaining to (the geometry of) a differentiable manifold equipped with a closed nondegenerate bilinear form.

    数学

    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).

    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.

  6. 6.

    That moves in the same direction as a system of synchronized waves.

  7. 7.

    Of or pertaining to a symplectite; symplectitic.

    化学 地质

相关短语

symplectic matrix 辛矩阵 symplectic matrices symplectic group symplectic groups

词源

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.

来源：wiktionary