👉 Symplectic geometry is a branch of differential geometry that studies symmetries in differentiable manifolds, particularly those with symplectic structures. It is used to study Hamiltonian systems and provides a framework for understanding the dynamics of mechanical systems like pendulums and fluids.
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👉 Symplectic geometry is a branch of mathematics that studies symmetries in the geometry of space, particularly in three-dimensional Euclidean space. It deals with the properties of spaces and figures that are invariant under continuous transformations, which means they remain unchanged after any such transformation. This includes things like how shapes or lines look when reflected or translated, as well as how points move through space without changing their position.
