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・ Discrete Morse theory
・ Discrete nanoscale transport
・ Discrete optimization
・ Discrete optimized protein energy
・ Discrete orthogonal polynomials
・ Discrete papular lichen myxedematosus
・ Discrete phase-type distribution
・ Discrete Poisson equation
・ Discrete q-Hermite polynomials
・ Discrete rate simulation
・ Discrete series representation
・ Discrete sine transform
・ Discrete space
・ Discrete spectrum
・ Discrete spline interpolation
Discrete symmetry
・ Discrete system
・ Discrete time and continuous time
・ Discrete tomography
・ Discrete transform
・ Discrete two-point space
・ Discrete Universal Denoiser
・ Discrete valuation
・ Discrete valuation ring
・ Discrete wavelet transform
・ Discrete-stable distribution
・ Discrete-time beamforming
・ Discrete-time Fourier transform
・ Discrete-time signal
・ Discrete-time stochastic process


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Discrete symmetry : ウィキペディア英語版
Discrete symmetry
In mathematics, a discrete symmetry is a symmetry that describes non-continuous changes in a system. For example, a square possesses discrete rotational symmetry, as only rotations by multiples of right angles will preserve the square's original appearance. Discrete symmetries sometimes involve some type of 'swapping', these swaps usually being called ''reflections'' or ''interchanges''. In mathematics and theoretical physics, a discrete symmetry is a symmetry under the transformations of a discrete group—e.g. a topological group with a discrete topology whose elements form a finite or a countable set.
One of the most prominent discrete symmetries in physics is parity symmetry. It manifests itself in various elementary physical quantum systems, such as quantum harmonic oscillator, electron orbitals of Hydrogen-like atoms by forcing wavefunctions to be even or odd. This in turn gives rise to selection rules that determine which transition lines are visible in atomic absorption spectra.
==References==

* Slavik V. Jablan, ''Symmetry, Ornament and Modularity'', Volume 30 of K & E Series on Knots and Everything, World Scientific, 2002. ISBN 9812380809


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