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S n groups with an odd value of n are identical to C nh groups of same n and are therefore not considered here (in particular, S 1 is identical to C s). The S 8 table reflects the 2007 discovery of errors in older references. [4] Specifically, (R x, R y) transform not as E 1 but rather as E 3.
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This table, which is a modernised version of von Bichowsky's table of 1918, [110] has 24 columns and 9 + 1 ⁄ 2 groups. Group 8 forms a connecting link or transitional zone between groups 7 and 1. Unclassified periodic tables defy easy classification: 1891 — Wendt's generation-tree of the elements [111] 1893 — Nechaev's truncated cones [112]
List of matrices; List of numbers; List of relativistic equations; List of small groups; Mathematical constants; Sporadic group; Table of Clebsch-Gordan coefficients; Table of derivatives; Table of divisors; Table of integrals; Table of mathematical symbols; Table of prime factors; Taylor series; Timeline of mathematics; Trigonometric ...
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The Rubik's Cube is constructed by labeling each of the 48 non-center facets with the integers 1 to 48. Each configuration of the cube can be represented as a permutation of the labels 1 to 48, depending on the position of each facet. Using this representation, the solved cube is the identity permutation which leaves the cube unchanged, while ...
Equivalently, an elementary cube is any translate of a unit cube [,] embedded in Euclidean space (for some , {} with ). [3] A set X ⊆ R d {\displaystyle X\subseteq \mathbf {R} ^{d}} is a cubical complex (or cubical set ) if it can be written as a union of elementary cubes (or possibly, is homeomorphic to such a set).
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