symmetric transformation

symmetric transformation

[sə¦me·trik ‚tranz·fər′mā·shən]
(mathematics)
A transformation T defined on a Hilbert space such that the inner products (x, Ty) and (Tx, y) are equal for any vectors x and y in the domain of T.
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holds, then the infinitesimal transformations are called the symmetric transformations in sense of Noether for the fractional system.
is satisfied, then the transformations (74) are the Noether symmetric transformations for the dynamical system based on the action.

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