Some articles on translation group, group, translation:
Point Groups In Two Dimensions - Combinations With Translational Symmetry
... E(2) is a semidirect product of O(2) and the translation group T ... In other words O(2) is a subgroup of E(2) isomorphic to the quotient group of E(2) by T O(2) E(2) / T There is a "natural" surjective group homomorphism p E(2) → E(2 ... For every subgroup of E(2) we can consider its image under p a point group consisting of the cosets to which the elements of the subgroup belong, in ...
... E(2) is a semidirect product of O(2) and the translation group T ... In other words O(2) is a subgroup of E(2) isomorphic to the quotient group of E(2) by T O(2) E(2) / T There is a "natural" surjective group homomorphism p E(2) → E(2 ... For every subgroup of E(2) we can consider its image under p a point group consisting of the cosets to which the elements of the subgroup belong, in ...
Glide Plane - Formal Treatment
... space the combination of a reflection in a plane and a translation in that plane ... Depending on context, we may consider a reflection a special case, where the translation vector is the zero vector ... The combination of a reflection in a plane and a translation in a perpendicular direction is a reflection in a parallel plane ...
... space the combination of a reflection in a plane and a translation in that plane ... Depending on context, we may consider a reflection a special case, where the translation vector is the zero vector ... The combination of a reflection in a plane and a translation in a perpendicular direction is a reflection in a parallel plane ...
Glide Reflection
... of isometry of the Euclidean plane the combination of a reflection in a line and a translation along that line ... Depending on context, we may consider a reflection a special case, where the translation vector is the zero vector ... is an isometry consisting of the reflection on the x-axis, followed by translation of one unit parallel to it ...
... of isometry of the Euclidean plane the combination of a reflection in a line and a translation along that line ... Depending on context, we may consider a reflection a special case, where the translation vector is the zero vector ... is an isometry consisting of the reflection on the x-axis, followed by translation of one unit parallel to it ...
Teleparallelism - New Translation Teleparallel Gauge Theory of Gravity
... started to formulate the gauge theory of the space-time translation group ... Hayashi pointed out the connection between the gauge theory of space-time translation group and absolute parallelism ... fully represented by the translational gauge potential, as it should be for a gauge theory for the translation group ...
... started to formulate the gauge theory of the space-time translation group ... Hayashi pointed out the connection between the gauge theory of space-time translation group and absolute parallelism ... fully represented by the translational gauge potential, as it should be for a gauge theory for the translation group ...
Famous quotes containing the words group and/or translation:
“Caprice, independence and rebellion, which are opposed to the social order, are essential to the good health of an ethnic group. We shall measure the good health of this group by the number of its delinquents. Nothing is more immobilizing than the spirit of deference.”
—Jean Dubuffet (1901–1985)
“Any translation which intends to perform a transmitting function cannot transmit anything but information—hence, something inessential. This is the hallmark of bad translations.”
—Walter Benjamin (1892–1940)