How do you pronounce symplectic?

The recorded pronunciation is /sɪmˈplɛktɪk/.

symplectic

/sɪmˈplɛktɪk/

Word Rarity Very rare

Frequency: Zipf frequency 2.01 in modern English

Syllables: sym-plec-tic
IPA: /sɪmˈplɛktɪk/

Scrabble Score

Letters

Syllables

Unique Chars

Meaning

adj

Placed in or among, as if woven together.

adj

Whose characteristic abelian subgroups are cyclic.

adj

That is alternating and nondegenerate.

adj

That is equipped with an alternating nondegenerate bilinear form.

adj

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

adj

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

adj

Of or pertaining to a symplectite; symplectitic.

noun

A symplectic bilinear form, manifold, geometry, etc.

Example Sentences

"There exist interesting and unexplored relations between symplectic geometry and the theory of critical points of holomorphic functions."
"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."
"In symplectic geometry, there is a notion of fibrations #92;pi#58;P#92;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,#92;omega#95;M) is also symplectic, there is a weak coupling construction, originally due to Thurston, of defining a symplectic structure on the total space P."
"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."
"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."

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.

Origin

Source language: Ancient Greek

Word Breakdown

Root: συμπλεκτικός

Inflected Forms

symplectics (plural)

Derived Forms

cosymplectic hyosymplectic microsymplectic multisymplectic nonsymplectic orthosymplectic polysymplectic presymplectic slimplectic subsymplectic supersymplectic symplectically

Phrases

symplectic Clifford algebra symplectic cut symplectic form symplectic group symplectic invariant symplectic matrix

Frequently Paired Words

symplectomorphism

Antonyms

antiplectic

Rhymes With

eclectic hectic dialectic apoplectic eutectic smectic anorectic pectic acatalectic cathectic catalectic pyrectic