-
algebra Symplectic integrator Symplectic manifold Symplectic matrix Symplectic representation Symplectic vector space, a
vector space with a
symplectic bilinear...
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Symplectic geometry is a
branch of
differential geometry and
differential topology that
studies symplectic manifolds; that is,
differentiable manifolds...
-
linear transformation. To
symplectically simulate the system, one
simply composes these solution maps. In
recent decades symplectic integrator in
plasma physics...
- 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)...
- 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...
- \omega } ,
called the
symplectic form. The
study of
symplectic manifolds is
called symplectic geometry or
symplectic topology.
Symplectic manifolds arise naturally...
- A
symplectic space may
refer to:
Symplectic manifold Symplectic vector space This
disambiguation page
lists articles ****ociated with the
title Symplectic...
- In mathematics, a
symplectic vector space is a
vector space V {\displaystyle V} over a
field F {\displaystyle F} (for
example the real
numbers R {\displaystyle...
- algebra, a
standard symplectic basis is a
basis e i , f i {\displaystyle {\mathbf {e} }_{i},{\mathbf {f} }_{i}} of a
symplectic vector space,
which is...
- we see that
symplectic manifolds which are
aspherical are also
symplectically aspherical manifolds. However,
there do
exist symplectically aspherical manifolds...