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  • ...group]]. One obtains this way, among others, the [[Quantum sphere|quantum sphere]] and, more generally, [[quantum Grassmannian]] and quantum flag manifolds. There is a vast amount of literature on this subject. The survey book [[#References|[a2]]] contains a rich list of references.
    5 KB (718 words) - 13:24, 25 November 2023
  • exists in the [[Riemann sphere|extended complex plane]] $\bar{\mathbb C}$, or otherwise the [[Cluster set| ...riot and C. Bouquet and appears in the first edition {{Cite|BB}} of their book on elliptic functions (1859), though it is missing from the second edition
    3 KB (465 words) - 20:00, 14 December 2014
  • ...ransform into each other upon reciprocation with respect to any concentric sphere. The tetrahedron is dual to itself, the hexahedron to the octahedron and th ..."> D.O. Shklyarskii, N.N. Chentsov, I.M. Yaglom, "The USSR Olympiad book: selected problems and theorems of elementary mathematics" , Freeman (1962
    15 KB (1,875 words) - 17:26, 7 February 2011
  • ...^ { k } \times D ^ { m - k }$, a tubular neighbourhood of an embedded $k$-sphere with trivial normal bundle, by a copy of $D ^ { k + 1 } \times S ^ { m - k ...rings or open book decompositions, cf. also [[Open book decomposition|Open book decomposition]]) to the construction of contact manifolds, see [[#Reference
    8 KB (1,235 words) - 17:43, 1 July 2020
  • worked in Italy as a teacher and his first book (1821) was a scientific mission of statistics was to elaborate in the social sphere what
    13 KB (1,961 words) - 19:27, 4 March 2024
  • ...$a_n=(2\pi)^{-n}|S^{n-1}|/n$ (here, $|S^{n-1}|$ denotes the volume of the sphere). and in the book {{Cite|Ka}}
    8 KB (1,239 words) - 16:33, 4 December 2017
  • ...and others. The landmark of this development was the first edition of the book of H. Weyl [[#References|[18]]], in which the general concept of an abstrac or, which is the same, over the [[Riemann sphere|Riemann sphere]]. The projections of the ramified elements $ ( b, S) $
    34 KB (4,972 words) - 13:13, 6 January 2022
  • mathematical statistics in Germany and within the sphere of German book may be interpreted as a twofold plea. First,
    13 KB (1,926 words) - 18:33, 17 April 2024
  • ...40s in a series of papers of G. Reeb and Ch. Ehresmann, culminating in the book [[#References|[1]]] (for its history, see [[#References|[2]]]), and was con ...[[#References|[17]]]): A foliation of codimension 1 on a three-dimensional sphere has a compact leaf [[#References|[7]]] and cannot be analytic [[#References
    15 KB (2,175 words) - 19:39, 5 June 2020
  • (1st ed., 1925). The book illustrated Fisher's genius for last chapter of the book, involving the estimation of a genetic linkage
    24 KB (3,502 words) - 18:46, 24 March 2023
  • ...dos (4th century B.C.). However this may be, the method is used throughout Book 12 of Euclid's Elements as the principal deductive tool. Euclid's chain of The volume of a sphere and other bodies of revolution are equally simple; however, this very simpl
    22 KB (3,357 words) - 17:34, 1 January 2021
  • In 1847, in β€œa little book that De Morgan himself recognized as epoch-making,” Boole undertook the f In 1854, Boole published a second book, the completion of his efforts β€œto incorporate logic into mathematics by
    189 KB (29,059 words) - 14:31, 19 March 2023