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Translational Symmetry




In Physics and Mathematics , continious translational Symmetry is the Invariance of a system of equations under any translation. Discrete translational symmetry is invariance under Discrete ( Quantized ) translation.

Laws of physics are translationally invariant if they do not distinguish different points in space. According to Noether's Theorem , translational symmetry of a physical system is equivalent to the Momentum conservation law.

Translational symmetry of an object means that a particular translation does not change the object. For a given object, the translations for which this applies form a group, the Symmetry Group of the object, or, if the object has more kinds of symmetry, a subgroup of the symmetry group.