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Quaternion Society information


The Quaternion Society was a scientific society, self-described as 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 that were experimenting with quaternions and other hypercomplex number systems. The group's guiding light was Alexander Macfarlane who served as its secretary initially, and became president in 1909. The association published a Bibliography in 1904 and a Bulletin (annual report) from 1900 to 1913.

The Bulletin became a review journal for topics in vector analysis and abstract algebra such as the theory of equipollence. The mathematical work reviewed pertained largely to matrices and linear algebra as the methods were in rapid development at the time.

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Quaternion Society

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

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Quaternion

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

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History of quaternions

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

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Hyperbolic quaternion

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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...

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Vector notation

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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...

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Quaternion algebra

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In mathematics, a quaternion algebra over a field F is a central simple algebra A over F that has dimension 4 over F. Every quaternion algebra becomes a...

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Quaternionic analysis

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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...

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Versor

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In mathematics, a versor is a quaternion of norm one (a unit quaternion). Each versor has the form q = exp ⁡ ( a r ) = cos ⁡ a + r sin ⁡ a , r 2 = − 1...

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Alexander Macfarlane

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

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List of mathematical societies

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(MASSEE) Mathematical Optimization Society Maths Society Ramanujan Mathematical Society Quaternion Society Society for Industrial and Applied Mathematics...

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History of mathematics

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Mathematical Society in 1883, and the American Mathematical Society in 1888. The first international, special-interest society, the Quaternion Society, was formed...

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Unifying theories in mathematics

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

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A History of Vector Analysis

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

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19th century in science

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and the American Mathematical Society in 1888. The first international, special-interest society, the Quaternion Society, was formed in 1899, in the context...

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Collegiate secret societies in North America

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

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Arthur Stafford Hathaway

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

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Robert Stawell Ball

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published in 1886. Much in the limelight, he stood as President of the Quaternion Society. He was also President of the Mathematical Association in 1900. In...

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Ferdinand Ferber

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

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Rotation matrix

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unit quaternions. Multiplication of rotation matrices is homomorphic to multiplication of quaternions, and multiplication by a unit quaternion rotates...

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Alexander McAulay

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University of Tasmania, Hobart, Tasmania. He was also a proponent of dual quaternions, which he termed "octonions" or "Clifford biquaternions". McAulay was...

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Charles Jasper Joly

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until his death in 1906. He was an important figure in the study of quaternions. Joly was born at St Catherine's Rectory, Hop Hill, Tullamore, County...

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Victor Schlegel

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1899 Schlegel became German national secretary for the international Quaternion Society and reported on it in Monatshefte für Mathematik. Eneström, Gustaf...

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Hypercomplex number

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

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Clifford algebra

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subspace. As K-algebras, they generalize the real numbers, complex numbers, quaternions and several other hypercomplex number systems. The theory of Clifford...

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William Rowan Hamilton

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

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