- symplectic basis
- мат. симплектический базис
Большой англо-русский и русско-английский словарь. 2001.
symplectic basis
Смотреть что такое "symplectic basis" в других словарях:
Symplectic vector space — In mathematics, a symplectic vector space is a vector space V equipped with a nondegenerate, skew symmetric, bilinear form omega; called the symplectic form. Explicitly, a symplectic form is a bilinear form omega; : V times; V rarr; R which is *… … Wikipedia
Symplectic matrix — In mathematics, a symplectic matrix is a 2n times; 2n matrix M (whose entries are typically either real or complex) satisfying the condition:M^T Omega M = Omega,.where MT denotes the transpose of M and Omega; is a fixed nonsingular, skew… … Wikipedia
Symplectic manifold — In mathematics, a symplectic manifold is a smooth manifold, M, equipped with a closed nondegenerate differential 2 form, ω, called the symplectic form. The study of symplectic manifolds is called symplectic geometry or symplectic topology.… … Wikipedia
Symplectic filling — In mathematics, a filling of a manifold X is a cobordism W between X and the empty set. More to the point, the n dimensional topological manifold X is the boundary of an n+1 dimensional manifold W . Perhaps the most active area of current… … Wikipedia
Darboux basis — A Darboux basis may refer either to: A Darboux basis of a symplectic vector space In differential geometry, a Darboux frame on a surface. A Darboux tangent in the dovetail joint. This disambiguation page lists articles associated with the same… … Wikipedia
Conjugate variables — For conjugate variables in context of thermodynamics, see Conjugate variables (thermodynamics). Conjugate variables are pairs of variables mathematically defined in such a way that they become Fourier transform duals of one another,[1][2] or more … Wikipedia
Ε-quadratic form — In mathematics, specifically the theory of quadratic forms, an ε quadratic form is a generalization of quadratic forms to skew symmetric settings and to * rings; epsilon = pm 1, accordingly for symmetric or skew symmetric. They are also called (… … Wikipedia
Heisenberg group — In mathematics, the Heisenberg group, named after Werner Heisenberg, is the group of 3×3 upper triangular matrices of the form or its generalizations under the operation of matrix multiplication. Elements a, b, c can be taken from some… … Wikipedia
Differentiable manifold — A nondifferentiable atlas of charts for the globe. The results of calculus may not be compatible between charts if the atlas is not differentiable. In the middle chart the Tropic of Cancer is a smooth curve, whereas in the first it has a sharp… … Wikipedia
Orthogonal group — Group theory Group theory … Wikipedia
Differential geometry — A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparallel lines. Differential geometry is a mathematical discipline that uses the techniques of differential and integral calculus, as well as… … Wikipedia
