quaternion

  • 11quaternion — noun /kwɒˈtɜːniɒn/ a) A group or set of four people or things.<ref name= COED etym sense /> 1885, Alexander Roberts, James Donaldson (original translators and editors), Arthur Cleveland Coxe (editor of American edition, unauthorized; author …

    Wiktionary

  • 12Quaternion (Begriffsklärung) — Quaternion (v. lat. quaternio, „Vierheit“) steht für: Quaternionen als mathematisches Objekt Quaternionen als bildhaftes Ordnungssystem der frühneuzeitlichen Reichsverfassung Quaternio, eine Lage von vier Pergament Bögen als eines der gängigsten… …

    Deutsch Wikipedia

  • 13Quaternion algebra — In mathematics, a quaternion algebra over a field, F , is a particular kind of central simple algebra, A , over F , namely such an algebra that has dimension 4, and therefore becomes the 2 times;2 matrix algebra over some field extension of F ,… …

    Wikipedia

  • 14Quaternion group — In group theory, the quaternion group is a non abelian group of order 8. It is often denoted by Q and written in multiplicative form, with the following 8 elements : Q = {1, −1, i , − i , j , − j , k , − k }Here 1 is the identity element, (−1)2 …

    Wikipedia

  • 15Quaternion-Kähler manifold — In differential geometry, a quaternion Kähler manifold (or quaternionic Kähler manifold) is a Riemannian manifold whose Riemannian holonomy group is a subgroup of Sp( n )·Sp(1). Another, more explicit, definition, uses a 3 dimensional subbundle H …

    Wikipedia

  • 16Quaternion-Kähler symmetric space — In differential geometry, a quaternion Kähler symmetric space or Wolf space is a quaternion Kähler manifold which, as a Riemannian manifold, is a Riemannian symmetric space. Any quaternion Kähler symmetric space with positive Ricci curvature is… …

    Wikipedia

  • 17Quaternion Society (1899 - 1913) — A scientific society, the Quaternion Society was an “International Association for Promoting the Study of Quaternions and Allied Systems of Mathematics”. At its peak it consisted of about 60 mathematicians spread throughout the academic world… …

    Wikipedia

  • 18Quaternion (disambiguation) — The term quaternion can refer to: * Quaternions, a number system extending complex numbers, described by William Hamilton * Paper quire, a set of four sheets of folded paper * A Koine Greek term for four soldiers …

    Wikipedia

  • 19Quaternion hyperbolique — L algèbre des quaternions hyperboliques est un objet mathématique promu à partir de 1890 par Alexander Macfarlane (en). L idée fut mise à l écart, à cause de la non associativité de la multiplication, mais elle est reprise dans l espace de… …

    Wikipédia en Français

  • 20Quaternion — Any group of four things or persons; also used of four sheets (of paper) folded once …

    Dictionary of Medieval Terms and Phrases