symplektinen
Symplektinen is the Finnish term used for the mathematical concept of symplectic, especially in the field of symplectic geometry. It denotes structures that formalize the geometric framework of classical mechanics and phase space.
In mathematics, a symplectic manifold is a pair (M, ω) where M is a smooth even-dimensional manifold
Locally, every symplectic form looks the same. Darboux’s theorem states that around any point there exist coordinates
Symplectomorphisms are diffeomorphisms that preserve the symplectic form. In physics and dynamics, Hamiltonian mechanics is described
Applications of symplectic ideas span classical mechanics, geometric quantization, and various areas of mathematics under the