What does translational symmetry mean?
Definitions for translational symmetry
trans·la·tion·al sym·me·t·ry
This dictionary definitions page includes all the possible meanings, example usage and translations of the word translational symmetry.
Wikipedia
Translational symmetry
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 T δ {\displaystyle T_{\delta }} if the result after applying A doesn't change if the argument function is translated. More precisely it must hold that ∀ δ A f = A ( T δ f ) . {\displaystyle \forall \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 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.
Numerology
Chaldean Numerology
The numerical value of translational symmetry in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of translational symmetry in Pythagorean Numerology is: 6
Translations for translational symmetry
From our Multilingual Translation Dictionary
- simetri translasiIndonesian
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"translational symmetry." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/translational+symmetry>.
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