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searching for Quaternion 89 found (569 total)

alternate case: quaternion

Section (bookbinding) (267 words) [view diff] exact match in snippet view article

folded sheets of vellum or parchment, i.e. 8 leaves, 16 sides. The term quaternion (or sometimes quaternum) designates such a unit. A gathering made of a

Quasidihedral group (623 words) [view diff] exact match in snippet view article find links to article

have a cyclic subgroup of index 2. Two are well known, the generalized quaternion group and the dihedral group. One of the remaining two groups is often

Scalar multiplication (1,208 words) [view diff] exact match in snippet view article find links to article

2\\\end{pmatrix}}={\begin{pmatrix}a&b\\c&d\\\end{pmatrix}}2=\mathbf {A} 2.} For quaternion scalars and matrices: λ = i , A = ( i 0 0 j ) {\displaystyle \lambda =i

Stone–Weierstrass theorem (3,234 words) [view diff] exact match in snippet view article find links to article

C(X, H) of quaternion-valued continuous functions on the compact space X, again with the topology of uniform convergence. If a quaternion q is written

Brauer–Suzuki theorem (273 words) [view diff] exact match in snippet view article find links to article

(1962), Brauer (1964), states that if a finite group has a generalized quaternion Sylow 2-subgroup and no non-trivial normal subgroups of odd order, then

Rudolf Lipschitz (412 words) [view diff] exact match in snippet view article find links to article

Mechanik (Berlin, 1876). Cauchy–Lipschitz theorem Lipschitz domain Lipschitz quaternion Lipschitz continuity Uniform, Hölder and Lipschitz continuity Lipschitz

Classical involution theorem (215 words) [view diff] exact match in snippet view article find links to article

involution whose centralizer has a subnormal subgroup containing t with quaternion Sylow 2-subgroups. Aschbacher, Michael (1977a), "A characterization of

Subalgebra (759 words) [view diff] exact match in snippet view article find links to article

"Equivalence of complex quaternion and complex matric algebras", meaning M(2,C), the 2x2 complex matrices. But he notes also, "the real quaternion and real matric

Shimura subgroup (164 words) [view diff] exact match in snippet view article find links to article

Shimura. There is a similar subgroup Σ(N,D) associated to Shimura curves of quaternion algebras. Ling, San; Oesterlé, Joseph (1991), "The Shimura subgroup of

Andrew J. Hanson (988 words) [view diff] exact match in snippet view article find links to article

10-dimensional string theory. He is the author of Visualizing Quaternions and Visualizing More Quaternions. Hanson was born at Los Alamos where his father, son

Opposite ring (3,532 words) [view diff] exact match in snippet view article find links to article

\end{aligned}}} which are not equal elements. The quaternion algebra H ( a , b ) {\displaystyle H(a,b)} over a field F {\displaystyle

Group of symplectic type (188 words) [view diff] exact match in snippet view article find links to article

extraspecial group with a group that is cyclic, dihedral, quasidihedral, or quaternion. Gorenstein (1980, 5.4.9) gives a proof of this result. The width n of

Articulated body pose estimation (3,192 words) [view diff] exact match in snippet view article find links to article

coordination. In many works, the 3D joint rotation is expressed as a normalized quaternion [ x , y , z , w ] {\displaystyle [x,y,z,w]} due to its continuity that

Okubo algebra (830 words) [view diff] exact match in snippet view article find links to article

quadratic form. The overline notation stresses the fact that complex and quaternion conjugation are partial cases of it. These operators have the following

Nearly Kähler manifold (782 words) [view diff] exact match in snippet view article find links to article

Riemannian product of homogeneous nearly Kähler spaces, twistor spaces over quaternion-Kähler manifolds, and 6-dimensional nearly Kähler manifolds. Nearly Kähler

Einstein manifold (1,016 words) [view diff] exact match in snippet view article find links to article

hyperkähler manifolds in the Ricci-flat case, but are sometimes called quaternion Kähler manifolds otherwise. Higher-dimensional Lorentzian Einstein manifolds

Vi Hart (970 words) [view diff] exact match in snippet view article find links to article

delightfully profound". Together with Henry Segerman, Hart wrote "The Quaternion Group as a Symmetry Group", which was included in the anthology The Best

Henry Segerman (961 words) [view diff] exact match in snippet view article find links to article

"print" them with 3D printers. Segerman uses mathematical tools including quaternions, Euclidean and non-Euclidean geometries and stereographic projection

Spherical trigonometry (6,784 words) [view diff] exact match in snippet view article find links to article

significant developments have been the application of vector methods, quaternion methods, and the use of numerical methods. A spherical polygon is a polygon

Livro da Noa (500 words) [view diff] exact match in snippet view article find links to article

numbered 2-27 and grouped into five quires: a binion (folios 2-5), a quaternion (folios 6-13), an incomplete ternion (folios 14-18), and an incomplete

List of circle topics (2,408 words) [view diff] exact match in snippet view article find links to article

Line which touches a circle at exactly one point Versor – Quaternion of norm 1 (unit quaternion) Specific circles Apollonian circles – Circles in two perpendicular

Raymond Deane (1,177 words) [view diff] exact match in snippet view article find links to article

Orchestra, Fionnuala Hunt (cond.), on: Black Box Music BBM 1013 (CD, 1998). Quaternion (with Anthony Byrne, piano), Krespel's Concerto (with Alan Smale, violin)

Finn Guttormsen (578 words) [view diff] exact match in snippet view article find links to article

1991. He has also been a member of bands like The Source (1995–2005) and Quaternion, and has played within Hemisfair. In recent years he has also contributed

Apache Commons (260 words) [view diff] exact match in snippet view article find links to article

protocol implementations 3.11.1 2024-06-07 Numbers Number types (complex, quaternion, fraction) and utilities (arrays, combinatorics) 1.2 2024-08-12 Pool Generic

Anthony Byrne (pianist) (787 words) [view diff] exact match in snippet view article

Pieces (commissioned by Anthony Byrne) (1st) Raymond Deane: Linos 1 and 2 Quaternion for Piano, Celeste and Orchestra (1st) Compact for Piano and Orchestra

E. H. Moore (709 words) [view diff] exact match in snippet view article find links to article

matrix over a finite field Moore determinant of a Hermitian matrix over a quaternion algebra "Obituary Record of Graduates of Yale University Deceased during

Vert (heraldry) (1,654 words) [view diff] exact match in snippet view article

green shown in the arms of the states of the Holy Roman Empire in the Quaternion Eagle by Hans Burgkmair (c. 1510) are the crancelin of Saxony and the

Daz Studio (861 words) [view diff] exact match in snippet view article find links to article

TriAx Weight Maps, where many other industry platforms were using Dual Quaternion. This changed in Genesis 3 to allow Daz 3D figures to be more compatible

Michio Suzuki (mathematician) (549 words) [view diff] exact match in snippet view article

M. (1959). "On finite groups of even order whose 2-Sylow group is a quaternion group". Proc. Natl. Acad. Sci. USA. 45 (12): 1757–1759. Bibcode:1959PNAS

Collegiate secret societies in North America (14,463 words) [view diff] exact match in snippet view article find links to article

the only known active secret society is The Quaternion Club, although many are rumored to exist. Quaternion, which dates back to 1903, taps four juniors

Julius Berger (cellist) (646 words) [view diff] exact match in snippet view article

January 2012). "Gubaidulina: Am Rande des Abgrunds; In Croce; De profundis; Quaternion". classical-music.com. Retrieved 16 May 2018. Seeger, Jürgen (6 June 2015)

Richard Brauer (1,597 words) [view diff] exact match in snippet view article find links to article

Brauer–Suzuki theorem showed that no finite simple group could have a generalized quaternion Sylow 2-subgroup, and the Alperin–Brauer–Gorenstein theorem classified

Brown (racial classification) (2,483 words) [view diff] exact match in snippet view article

and southern Asia notes that Keane was dividing the "brown people" into quaternion: a western branch that he termed the Malay, a north-western group that

Vinayak Vatsal (282 words) [view diff] exact match in snippet view article find links to article

Cambridge University Press, 2007, pp. 121–186 with C. Cornut CM points and quaternion algebras, Documenta Mathematica, volume 10, 2005 "2007 Coxeter–James Prize"

Lars Onsager (2,216 words) [view diff] exact match in snippet view article find links to article

(later called the Onsager algebra). The solution involved generalized quaternion algebra and the theory of elliptic functions, which he learned from A

Golden Verses (1,671 words) [view diff] exact match in snippet view article find links to article

virtue. I swear it by he who has transmitted into our souls the Sacred Quaternion, the source of nature, whose cause is eternal. But never begin to set

Codex Aesinas (1,965 words) [view diff] exact match in snippet view article find links to article

works of Tacitus in one of Guarnieri's manuscripts, and in the Agricola quaternion found eight folia consisting of sixteen pages written in Carolingian minuscule

Isospectral (1,152 words) [view diff] exact match in snippet view article find links to article

hyperbolic 2-space and 3-space by arithmetic subgroups, constructed using quaternion algebras associated with quadratic extensions of the rationals by class

Rudolf Fueter (667 words) [view diff] exact match in snippet view article find links to article

University of Zurich. Fueter did research on algebraic number theory and quaternion analysis proposing a definition of ‘regular’ for quaternionic functions

Claiborne Latimer (175 words) [view diff] exact match in snippet view article find links to article

of Chicago under Leonard Dickson with thesis Arithmetic of Generalized Quaternion Algebras. He was an assistant professor at Tulane University for 2 years

Stephen S. Kudla (329 words) [view diff] exact match in snippet view article find links to article

Brook 1975; Dissertation: Real Points on Algebraic Varieties Defined by Quaternion Algebras. Advisor: Michio Kuga. with Michael Rapoport, T. Yang: Modular

Units of paper quantity (2,193 words) [view diff] exact match in snippet view article find links to article

vellum or parchment, i.e. eight leaves or folios, 16 sides. The term quaternion (or sometimes quaternum) designates such a quire. A quire made of a single

Adi Ben-Israel (639 words) [view diff] exact match in snippet view article find links to article

(19 August 2019). "Least-Norm of the General Solution to Some System of Quaternion Matrix Equations and Its Determinantal Representations" (PDF). Abstract

Dual snub 24-cell (651 words) [view diff] exact match in snippet view article find links to article

Gosset in 1900. The vertices of a dual snub 24-cell are obtained using quaternion simple roots (T') in the generation of the 600 vertices of the 120-cell

Index of combinatorics articles (626 words) [view diff] exact match in snippet view article find links to article

Ordered partition of a set Orthogonal design Complex orthogonal design Quaternion orthogonal design Packing problem Bin packing problem Partition of a set

3-transposition group (3,468 words) [view diff] exact match in snippet view article find links to article

while for n=2 it is S3 and for n=3 it has the structure 32:Q8 (Q8 = quaternion group). Both SUn(2) and PSUn(2) are 3-transposition groups for n=2 and

Wang Ming-chen (1,660 words) [view diff] exact match in snippet view article find links to article

Retrieved August 6, 2018. Wang, K.T. (1911–1912). "The Differentiation of Quaternion Function". Proceedings of the Royal Irish Academy, Section A. 29: 73–80

Henry Taber (441 words) [view diff] exact match in snippet view article find links to article

Mathematics 13 1891: "On the application to matrices of any order of the quaternion symbols S and V", Proceedings of the London Mathematical Society 22 1891:

Seumas McNally Grand Prize (1,208 words) [view diff] exact match in snippet view article find links to article

Longbow Games Blix Hardwood Hearts King of Dragon Pass Moonshine Runners Quaternion The Rift (Far Gate) Rogue Wars Seed — 2001 Shattered Galaxy Nexon Archmage:

Circular law (1,171 words) [view diff] exact match in snippet view article find links to article

ISSN 0305-4470. Ginibre, Jean (1965). "Statistical ensembles of complex, quaternion, and real matrices". J. Math. Phys. 6 (3): 440–449. Bibcode:1965JMP..

Afshar experiment (2,236 words) [view diff] exact match in snippet view article find links to article

S2CID 117905639. J. Zheng; C. Zheng (2011). "Variant simulation system using quaternion structures". Journal of Modern Optics. 59 (5): 484. Bibcode:2012JMOp.

Z-group (889 words) [view diff] exact match in snippet view article find links to article

Sylow 2-subgroup more flexibility, including dihedral and generalized quaternion groups. Usage: (Robinson 1996), (Kurosh 1960) The definition of central

Thermoelectric effect (3,912 words) [view diff] exact match in snippet view article find links to article

ISBN 0-8493-2264-2. OCLC 70217582. Jack, P.M. (2003). "Physical Space as a Quaternion Structure I: Maxwell Equations. A Brief Note". arXiv:math-ph/0307038.

Hasse–Arf theorem (947 words) [view diff] exact match in snippet view article find links to article

gave an example of a totally ramified extension with Galois group the quaternion group Q 8 {\displaystyle Q_{8}} of order 8 with G 0 = Q 8 {\displaystyle

Hasse–Arf theorem (947 words) [view diff] exact match in snippet view article find links to article

gave an example of a totally ramified extension with Galois group the quaternion group Q 8 {\displaystyle Q_{8}} of order 8 with G 0 = Q 8 {\displaystyle

Zappa–Szép product (1,290 words) [view diff] exact match in snippet view article find links to article

cannot be realized as Zappa–Szép products of proper subgroups, such as the quaternion group and the alternating group of degree 6. As with the direct and semidirect

Rodrigues' rotation formula (2,166 words) [view diff] exact match in snippet view article find links to article

2022-04-15. Dai, Jian S. (October 2015). "Euler–Rodrigues formula variations, quaternion conjugation and intrinsic connections". Mechanism and Machine Theory.

BioForge (2,282 words) [view diff] exact match in snippet view article find links to article

often bouncing multiple times before dissipating. BioForge pioneered quaternion-based skeletal animation, with pose interpolation and interchangeable

Dedalus Press (450 words) [view diff] exact match in snippet view article find links to article

Peppercanister series of pamphlets, Iggy McGovern's occasional publications from Quaternion Press and titles from Pat Boran's independent imprint, Orange Crate Books

Graduate Texts in Mathematics (5,035 words) [view diff] exact match in snippet view article find links to article

Functions, Richard Beals, Roderick S. C. Wong (2020, ISBN 978-3-030-54532-1) Quaternion Algebras, John Voight (2020, ISBN 978-3-030-56692-0) Ergodic Dynamics

A4 polytope (488 words) [view diff] exact match in snippet view article find links to article

5-cell with 5 vertices. A4 symmetry, or [3,3,3] is order 120, with Conway quaternion notation +1/60[I×I].21. Its abstract structure is the symmetric group

Roman legion (7,306 words) [view diff] exact match in snippet view article find links to article

two non-combatants. A group of four soldiers would be referred to as a quaternion. Aquilifer: a single position within the legion. The aquilifer was the

Omega and agemo subgroup (944 words) [view diff] exact match in snippet view article find links to article

This shows that Ω(G) need not be the set of elements of order p. The quaternion group of order 8, H, satisfies Ω(H) = ℧(H) = Z(H) = [ H, H ] = Φ(H) =

Quadrilateral (6,989 words) [view diff] exact match in snippet view article find links to article

20807. Hamilton, William Rowan (1850). "On Some Results Obtained by the Quaternion Analysis Respecting the Inscription of "Gauche" Polygons in Surfaces of

Gui Haichao (782 words) [view diff] exact match in snippet view article find links to article

of space science experimental payloads. Hybrid Global Finite-Time Dual-Quaternion Observer and Controller for Velocity-Free Spacecraft Pose Tracking zusammen

Post-quantum cryptography (6,408 words) [view diff] exact match in snippet view article find links to article

supersingular elliptic curves and maximal orders in particular types of quaternion algebras. Another widely noticed construction, SIDH/SIKE, was spectacularly

Fake projective plane (1,480 words) [view diff] exact match in snippet view article find links to article

(1978), "A class of algebraic surfaces of general type constructed from quaternion algebras", Pacific Journal of Mathematics, 76 (1): 221–245, doi:10.2140/pjm

Convolution (8,818 words) [view diff] exact match in snippet view article find links to article

Ashino, Ryuichi; Vaillancourt, Rémi (2013). "Convolution Theorems for Quaternion Fourier Transform: Properties and Applications" (PDF). Abstract and Applied

Adolph Winkler Goodman (899 words) [view diff] exact match in snippet view article find links to article

1080/17476939708815008 The Editorial Staff (2004). "In Memoriam: Al Goodman". The Quaternion - the Newsletter of the Department of Mathematics. 19 (1). University

Bookbinding (8,253 words) [view diff] exact match in snippet view article find links to article

producing four leaves; ternion — three bifolia, producing six leaves; quaternion — four bifolia, producing eight leaves; quinternion — five bifolia, producing

Paul Weiss (mathematician) (844 words) [view diff] exact match in snippet view article

mathematical mechanics. During this time, he wrote a long article giving the quaternion equations for the special relativity and for the motion of a charged particle

Robert Charles Thompson (1,305 words) [view diff] exact match in snippet view article find links to article

Thompson, Robert C. (1987). "Invariant factors of integral quaternion matrices". Linear and Multilinear Algebra. 21 (4): 395–417. doi:10

History of heraldry (4,130 words) [view diff] exact match in snippet view article find links to article

The "Quaternion eagle", representing the estates of the Holy Roman Empire (1510).

New Testament (17,689 words) [view diff] exact match in snippet view article find links to article

Ecclesiastical History Book 3, Chapter XXV: "1... First then must be put the holy quaternion of the gospels; following them the Acts of the Apostles... the epistles

Maynooth University (5,043 words) [view diff] exact match in snippet view article find links to article

commemorate the mathematician William Rowan Hamilton. Initially called The Quaternion Walk, now called The Hamilton Walk, takes place in October each year.

E8 lattice (3,560 words) [view diff] exact match in snippet view article find links to article

the concept of an integral octonion analogous to that of an integral quaternion. The integral octonions naturally form a lattice inside O. This lattice

Focal subgroup theorem (2,078 words) [view diff] exact match in snippet view article find links to article

2-nilpotent groups, the Q-type groups whose focal subgroup is a generalized quaternion group of index 2, the D-type groups whose focal subgroup a dihedral group

Joseph J. LaViola Jr. (1,684 words) [view diff] exact match in snippet view article find links to article

preferable due to its lower computational overhead and better handling of quaternion motion dynamics in virtual reality contexts. He alongside Simon J Julier

List of Kemco games (1,125 words) [view diff] exact match in snippet view article find links to article

PS5) Asdivine Cross (Switch, PS4, Xbox One, Xbox Series X, PS5) Chroma Quaternion (Android, iOS, PC, Xbox One, Xbox Series X, Switch) Archetype Arcadia

List of quarter tone pieces (4,419 words) [view diff] exact match in snippet view article find links to article

(1905, rev. 1927), passages in the second movement Sofia Gubaidulina Quaternion for cello quartet, two of the cellos are tuned down a quarter tone Music

Development of the New Testament canon (11,390 words) [view diff] exact match in snippet view article find links to article

Testament which have been already mentioned. First then must be put the holy quaternion of the Gospels; following them the Acts of the Apostles... the epistles

Frenet–Serret formulas (5,011 words) [view diff] exact match in snippet view article find links to article

Differential Geometry, Dover, ISBN 0-486-63433-7 Hanson, A.J. (2007), "Quaternion Frenet Frames: Making Optimal Tubes and Ribbons from Curves" (PDF), Indiana

List of algorithms (7,945 words) [view diff] exact match in snippet view article find links to article

shading in 3D computer graphics Slerp (spherical linear interpolation): quaternion interpolation for the purpose of animating 3D rotation Summed area table

List of finite simple groups (1,789 words) [view diff] exact match in snippet view article find links to article

The solvable group 2A2(22) is isomorphic to an extension of the order 8 quaternion group by an elementary abelian group of order 9. 2A2(32) is isomorphic

Richard Irvine Best (2,963 words) [view diff] exact match in snippet view article find links to article

Institute for Advanced Studies, 1942, x, 254 pp. Royal Irish Academy. Quaternion Centenary Celebrations. Opening remarks by President R. I. Best. Royal

Ambisonics (6,064 words) [view diff] exact match in snippet view article find links to article

September 2019). First-Order Ambisonic Coding with PCA Matrixing and Quaternion-Based Interpolation. 22nd International Conference on Digital Audio Effects

Thomas Noble (poet) (684 words) [view diff] exact match in snippet view article

Melling/Carpenter and Son, 1821); Julia, or Pre-existent Spirits, in Quaternion Rhymes: The Meditative Minstrel, in Blank Verse... (Derby/London: W. and

List of Latin words with English derivatives (333 words) [view diff] exact match in snippet view article find links to article

quaternī quatern- four each biquaternion, quatern, quaternary, quaternate, quaternion, quaternity, quire quattuor quadr- four quadrangle, quadrennial, quadriceps

Uniform 4-polytope (4,315 words) [view diff] exact match in snippet view article find links to article

4D-Polytopes and Their Dual Polytopes of the Coxeter Group W(A4) Represented by Quaternions International Journal of Geometric Methods in Modern Physics, Vol. 9