Translational Symmetry
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, a translation "slides" an object by a a: Ta(p) = p + a. In physics and mathematics, continuous translational symmetry is the invariance of a system of equations under any translation. Discrete translational symmetry is invariance under discrete (quantized) translation. Analogously an operator A on functions is said to be translation invariant with respect to a translation operator T if the result after applying A doesn''t change if the argument function…mehr

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In geometry, a translation "slides" an object by a a: Ta(p) = p + a. In physics and mathematics, continuous translational symmetry is the invariance of a system of equations under any translation. Discrete translational symmetry is invariance under discrete (quantized) translation. Analogously an operator A on functions is said to be translation invariant with respect to a translation operator T if the result after applying A doesn''t change if the argument function is translated. More precisely it must hold that forall delta A f = A (T_delta f).,.