Translation Group

Some articles on translation, translation group, group:

Glide Reflection
... the combination of a reflection in a line and a translation along that line ... on context, we may consider a reflection a special case, where the translation vector is the zero vector ... an isometry consisting of the reflection on the x-axis, followed by translation of one unit parallel to it ...
Point Groups In Two Dimensions - Combinations With Translational Symmetry
... E(2) is a semidirect product of O(2) and the translation group T ... 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)/ T, sending ... 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 other words, the point group obtained by ignoring ...
Teleparallelism - New Translation Teleparallel Gauge Theory of Gravity
... Hayashi and Nakano 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 ... gauge potential, as it should be for a gauge theory for the translation group ...
Glide Plane - Formal Treatment
... a type of isometry of the Euclidean space the combination of a reflection in a plane and a translation in that plane ... 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 ...

Famous quotes containing the words group and/or translation:

    My routines come out of total unhappiness. My audiences are my group therapy.
    Joan Rivers (b. 1935)

    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)