The Quaternion Association was a scientific society, self-described as an "International Association for Promoting the Study of Quaternions and Allied...

In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by the Irish mathematician William Rowan Hamilton...

In abstract algebra, the split-quaternions or coquaternions form an algebraic structure introduced by James Cockle in 1849 under the latter name. They...

In mathematics, quaternions are a non-commutative number system that extends the complex numbers. Quaternions and their applications to rotations were...

around 1843, as he revealed quaternions, a system which uses vectors and scalars to span a four-dimensional space. For a quaternion q = a + bi + cj + dk, Hamilton...

Macfarlane encouraged the association of quaternion students to promote the algebra. He became the Secretary of the Quaternion Association, and in 1909 its president...

In abstract algebra, the algebra of hyperbolic quaternions is a nonassociative algebra over the real numbers with elements of the form q = a + b i + c...

the studies of "hypercomplex numbers", such as considered by the Quaternion Association, were put onto an axiomatic footing as branches of ring theory (in...

Optimization Society Mathematical Society of South Eastern Europe (MASSEE) Quaternion Association Ramanujan Mathematical Society Society for Industrial and Applied...

Macfarlane for contributing to the Bibliography of Quaternions (1904) published by the Quaternion Association. He was also one of the personalities who contributed...

limelight, he stood as President of the Quaternion Association. He was also President of the Mathematical Association in 1900. In 1908, he published A Treatise...

(1): 31–46. doi:10.1090/s0002-9904-1939-06908-5. ISSN 1936-881X. "Quaternion Association". www-history.mcs.st-andrews.ac.uk. Retrieved 9 December 2018. "This...

the study of functions with quaternions as the domain and/or range. Such functions can be called functions of a quaternion variable just as functions of...

in 1888. The first international, special-interest society, the Quaternion Association, was formed in 1899, in the context of a vector controversy. In...

Schlegel became German national secretary for the international Quaternion Association and reported on it in Monatshefte für Mathematik. Eneström, Gustaf...

published A Primer on Quaternions in 1896. He became the U.S. national secretary for the international Quaternion Association in 1899. 1883: Some Papers...

career included the analysis of geometrical optics, Fourier analysis, and quaternions, the last of which made him one of the founders of modern linear algebra...

to be considered a member of the Quaternion Association when he contributed a biographical note to the Association's Bulletin: After all, since his intuition...

bibliography section. Crowe also states that the Bibliography of the Quaternion Association, and its supplements to 1912, already listed all the primary literature...

with quaternion curves". Computer Graphics: SIGGRAPH '85 Conference Proceedings. SIGGRAPH '85, 22–26 July 1985, San Francisco. Vol. 19. Association for...

representation theory. In the nineteenth century, number systems called quaternions, tessarines, coquaternions, biquaternions, and octonions became established...

founded in the Province of Canada. 1843 – William Rowan Hamilton invents quaternions, a three-dimensional system of complex numbers. 1846 – William T. G....

announced to his mathematician friend William Hamilton, discoverer of quaternions, in a letter on this date. 1860 – First Rules derby is held between Sheffield...

Wilson-Lewis Algebra of Four-dimensional Space, Bulletin of the Quaternion Association via HathiTrust Jerome Hunsaker and Saunders MacLane (1973) Edwin...

British Association on the need for a bibliography on non-euclidean geometry, noting that the field had no International Association like the Quaternion Association...

where n = 2. A similar identity also applies to quaternion exponential: let {i, j, k} be the basis quaternions; then, e 1 3 ( i ± j ± k ) π + 1 = 0. {\displaystyle...

One chooses a suitable Hurwitz quaternion order Q H u r {\displaystyle {\mathcal {Q}}_{\mathrm {Hur} }} in the quaternion algebra, Γ(I) is then the group...

this is the formula for the scalar part of any quaternion. An elliptic motion is described by the quaternion mapping q ↦ u q v , {\displaystyle q\mapsto...

constant H {\displaystyle \mathbb {H} }  : Blackboard bold capital H used in quaternion notation 1 Also for encodings based on ASCII, including the DOS, Windows...

converted to four parameters, this representation is equivalent to a unit quaternion, and describes the axis and angle of a rotation. In addition, he applied...