Definition of Symplectic. Meaning of Symplectic. Synonyms of Symplectic

Here you will find one or more explanations in English for the word Symplectic. Also in the bottom left of the page several parts of wikipedia pages related to the word Symplectic and, of course, Symplectic synonyms and on the right images related to the word Symplectic.

Definition of Symplectic

Symplectic
Symplectic Sym*plec"tic, a. [Gr. ? plaiting together, fr. ? to plait together.] (Anat.) Plaiting or joining together; -- said of a bone next above the quadrate in the mandibular suspensorium of many fishes, which unites together the other bones of the suspensorium. -- n. The symplectic bone.

Meaning of Symplectic from wikipedia

- refer to: Symplectic Clifford algebra, see Weyl algebra Symplectic geometry Symplectic group Symplectic integrator Symplectic manifold Symplectic matrix...
- a symplectic vector space is a vector space V over a field F (for example the real numbers R) equipped with a symplectic bilinear form. A symplectic bilinear...
- \omega } , called the symplectic form. The study of symplectic manifolds is called symplectic geometry or symplectic topology. Symplectic manifolds arise naturally...
- Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds...
- In mathematics, a symplectic integrator (SI) is a numerical integration scheme for Hamiltonian systems. Symplectic integrators form the subclass of geometric...
- In mathematics, a symplectic matrix is a 2 n × 2 n {\displaystyle 2n\times 2n} matrix M {\displaystyle M} with real entries that satisfies the condition...
- In mathematics, the name symplectic group can refer to two different, but closely related, collections of mathematical groups, denoted Sp(2n, F) and Sp(n)...
- linear algebra, a standard symplectic basis is a basis ei,fi{\displaystyle {\mathbf {e} }_{i},{\mathbf {f} }_{i}} of a symplectic vector space, which is a...
- example, in Riemannian geometry distances and angles are specified, in symplectic geometry volumes may be computed, in conformal geometry only angles are...
- Poisson structure. The notion of Poisson manifold generalises that of symplectic manifold, which in turn generalises the phase space from Hamiltonian mechanics...