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symplectic

symplectic

1 9.9
Relating to a special kind of geometry used in physics and advanced math
  • adjective
  • /sɪmˈplɛktɪk/
  • Specialized
: simpéctico
  • In classical mechanics, symplectic geometry is essential for understanding the conservation properties of physical systems.

Examples

  • Researchers in theoretical physics often utilize symplectic methods to analyze complex dynamical systems.

  • In addition, all major commercial providers of scholarly content are involved in developing or are already running visualization tools (Elsevier's product, SciVal; ProQuest's product, Pivot; Symplectic Elements, to name a few).

    Academic text (2015)
  • For example, in the class of real forms of semisimple Lie groups, this is the case only for the groups of real rank 1 except the symplectic groups; that is, only for those groups that do not have Kazhdan's property (for which the identity representation is isolated in the Fell topology in the space of irreducible unitary representations).

    Academic text (2018)
  • The symplectic structure is a key concept in Hamiltonian mechanics, allowing for the formulation of equations of motion.

Surface Forms

symplectic positive

Morphology

symplectic = sym + plect + ic

Formed from Greek combining elements (sym- + plect- + -ic) to name a specialised mathematical concept, so an average B1 learner cannot derive the technical meaning from the parts.

Etymology

The word symplectic comes from Greek parts sym- meaning 'together' and plektos meaning 'woven' or 'braided'. So a symplectic structure is like threads 'woven together', which helps explain why it describes quantities that are closely linked in math and physics.