Hypercomplex number information

In mathematics, hypercomplex number is a traditional term for an element of a finite-dimensional unital algebra over the field of real numbers. The study...

In mathematics, hypercomplex analysis is the extension of complex analysis to the hypercomplex numbers. The first instance is functions of a quaternion...

hypercomplex numbers. In 1848 James Cockle introduced the tessarines in a series of articles in Philosophical Magazine. A tessarine is a hypercomplex...

In algebra, the dual numbers are a hypercomplex number system first introduced in the 19th century. They are expressions of the form a + bε, where a and...

octonions are a normed division algebra over the real numbers, a kind of hypercomplex number system. The octonions are usually represented by the capital letter...

the real numbers, complex numbers, quaternions and several other hypercomplex number systems. The theory of Clifford algebras is intimately connected...

were the hypercomplex numbers, which consist of various extensions or modifications of the complex number system. In modern mathematics, number systems...

trigonometry. He is also known for contributions to space geometry, hypercomplex numbers, and criticism of early physical chemistry. Study was born in...

Negative number Prime number List of prime numbers Highly composite number Perfect number Algebraic number Transcendental number Hypercomplex number Transfinite...

where one road bears three numbers Triplex (mathematics), a type of Hypercomplex number Triplex, a cinema multiplex with three screens Triplex (software)...

difference p – q also produces a segment equipollent to pq. Other hypercomplex number systems also used the idea of a linear space with a basis. Arthur...

with number-pairs or points in the plane, became a general tool of mathematicians. Naturally the question arose whether or not a similar "hypercomplex" number...

Quaternion Society, devoted to the study of quaternions and other hypercomplex number systems. From the mid-1880s, quaternions began to be displaced by...

0.107648 < d < 0.49094093, Romanov conjectured that it is 0.434 Hypercomplex number is a term for an element of a unital algebra over the field of real...

of the complex numbers to hypercomplex numbers, specifically William Rowan Hamilton's quaternions in 1843. Many other number systems followed shortly....

shown that the generalized Mandelbrot set in higher-dimensional hypercomplex number spaces (i.e. when the power α {\displaystyle \alpha } of the iterated...

theory began with attempts to extend the complex numbers to various hypercomplex number systems. The genesis of the theories of commutative and noncommutative...

tesseract and the 16-cell is a regular octagon. The octonions are a hypercomplex normed division algebra that are an extension of the complex numbers...

cold, wet, rain-wet streets of Göttingen" after class discussing hypercomplex number systems and their representations. Von Neumann's habilitation was...

[On Certain Relationships between the Arithmetic of Hypercomplex Number Systems and Algebraic Number Fields]. Mathematische Annalen (in German). 111: 372–398...

JSTOR 3605147. S2CID 125356690. Kantor, I. L.; Solodownikow, A. S. (1989). Hypercomplex Numbers: An Elementary Introduction to Algebras. Translated by Shenitzer...

e 6 − e 15 ) {\displaystyle (e_{3}+e_{10})(e_{6}-e_{15})} . All hypercomplex number systems after sedenions that are based on the Cayley–Dickson construction...

} to the half-plane, and in the location of a quasi-sphere of a hypercomplex number system. Every motion (transformation or isometry) of the hyperbolic...

A hypercomplex cell (currently called an end-stopped cell) is a type of visual processing neuron in the mammalian cerebral cortex. Initially discovered...

quaternions to dual quaternions, McAulay made a special study of this hypercomplex number system. In 1898 McAulay published, through Cambridge University Press...