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For translational           invariant functions                        The Lebesgue measure is an            example of such a function;                                                           In geometry, a translation "slides" a thing by 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 invariant under discrete translation; Analogously an operator A on functions      is said to be translationally invariant      with respect to a translation operator {\display style T_{\delta }} T_{\delta } if the result after applying A doesn't change if the argument function is translated.         More precisely it must hold that:                 {\display     style \for                       all \delta \                                                          Af=A(T_{\delta }f).\,}                                                         \for             all \delta \ Af=A(T_{\delta                                                        }f).\,                                                             Laws of physics are translationally invariant                                                under a spatial translation      if they do not distinguish       different points in space.                                  According to Noether's theorem,     space translational symmetry of a physical system       is equivalent to the momentum conservation law. Translational symmetry of any woman means that a particular translation does not change her.          For a given woman, the translations          for which this applies form a group,          the symmetry group, or, if the women          have more kinds of symmetry,                           a subgroup of the symmetry group.
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Jul 29, 2018
Jul 29, 2018 at 1:53 AM UTC
Translational symmetry
For translational           invariant functions                        The Lebesgue measure is an            example of such a function;                                                           In geometry, a translation "slides" a thing by 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 invariant under discrete translation; Analogously an operator A on functions      is said to be translationally invariant      with respect to a translation operator {\display style T_{\delta }} T_{\delta } if the result after applying A doesn't change if the argument function is translated.         More precisely it must hold that:                 {\display     style \for                       all \delta \                                                          Af=A(T_{\delta }f).\,}                                                         \for             all \delta \ Af=A(T_{\delta                                                        }f).\,                                                             Laws of physics are translationally invariant                                                under a spatial translation      if they do not distinguish       different points in space.                                  According to Noether's theorem,     space translational symmetry of a physical system       is equivalent to the momentum conservation law. Translational symmetry of any woman means that a particular translation does not change her.          For a given woman, the translations          for which this applies form a group,          the symmetry group, or, if the women          have more kinds of symmetry,                           a subgroup of the symmetry group.
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johnny-noiπ
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Jul 29, 2018
Jul 29, 2018 at 1:53 AM UTC
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