symplectic in a sentence
a.
Definition
Symplectic refers to a branch of geometry that deals with structures that preserve certain geometric properties, particularly in the context of Hamiltonian mechanics and phase spaces.
Sample Sentences
- In the realm of mathematics, symplectic geometry plays a crucial role in the study of Hamiltonian systems.
- She found the symplectic structure of the manifold to be both elegant and complex.
- The physicist explained how symplectic transformations preserve the volume in phase space.
- As a symplectic mathematician, he specialized in the dynamics of classical mechanics.
- Understanding symplectic forms is fundamental for advanced studies in both physics and mathematics.
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