Point group
In geometry, a point group is a group of geometric symmetries (isometries) that keep at least one point fixed. Point groups can exist in a Euclidean space with any dimension, and every point group in dimension d is a subgroup of the orthogonal group O(d). Point groups can be realized as sets of orthogonal matrices M that transform point x into point y: y = Mx where the origin is the fixed point. Point-group elements can either be rotations (determinant of M = 1) or else reflections, or improper rotations (determinant of M = −1).
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Point group
In geometry, a point group is a group of geometric symmetries (isometries) that keep at least one point fixed. Point groups can exist in a Euclidean space with any dimension, and every point group in dimension d is a subgroup of the orthogonal group O(d). Point groups can be realized as sets of orthogonal matrices M that transform point x into point y: y = Mx where the origin is the fixed point. Point-group elements can either be rotations (determinant of M = 1) or else reflections, or improper rotations (determinant of M = −1).
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Dalam geometri, grup titik ada ...... dengan nomor itu. Ini adalah .
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Een puntgroep met betrekking t ...... indeling in conjugatieklassen.
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Eine Punktgruppe ist ein spezi ...... nn-Mauguin-Symbolik verwendet.
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Em geometria e cristalografia, ...... o de dimensões. Estes são os .
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En geometria, un grup puntual ...... uest nombre. Aquests són els .
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En geometría y cristalografía, ...... e dimensiones. Estos son los .
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En géométrie, un groupe ponctu ...... forme géométrique, invariante.
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In geometry, a point group is ...... crystallographic point groups.
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Группы симметрии, операции кот ...... ие на возможные углы поворота.
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Точкова група — група геометри ...... лишають одну точку фіксованою.
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Dalam geometri, grup titik ada ...... atau (determinan dari M = −1).
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Een puntgroep met betrekking t ...... ep slaat op het symmetriepunt.
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Eine Punktgruppe ist ein spezi ...... Darstellungstheorie gewinnen.
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Em geometria e cristalografia, ...... ponto x em um ponto y: y= M.x
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En geometria, un grup puntual ...... òpies (determinant de M = −1).
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En geometría y cristalografía, ...... punto x en un punto y: y= M.x
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En géométrie, un groupe ponctu ...... forme géométrique, invariante.
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In geometry, a point group is ...... tions (determinant of M = −1).
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Группы симметрии, операции кот ...... ственные группы — бесконечных.
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Точкова група — група геометри ...... лишають одну точку фіксованою.
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Groupe ponctuel de symétrie
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Grup puntual de simetria
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Grup titik
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Grupo pontual
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Grupo puntual
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Point group
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Punktgruppe
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Puntgroep
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Точечная группа симметрии
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Точкова група
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