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...

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

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

} The sedenions form a 16-dimensional hypercomplex number system. Sixteen is the base of the hexadecimal number system, which is used extensively in computer...

examples, see group. Hypercomplex number multiplication tables show the non-commutative results of multiplying two hypercomplex imaginary units. The simplest...

32-dimensional hypercomplex number system. 32 is the ninth 10-happy number, while 23 is the sixth. Their sum is 55, which is the tenth triangular number, while...

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 system of real numbers, the system of complex numbers, various hypercomplex number systems, the system of p-adic numbers, etc. Such systems are, however...

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

Hypercomplex may refer to: Hypercomplex cell Hypercomplex analysis Hypercomplex manifold Hypercomplex number This disambiguation page lists articles associated...

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...

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

Alexandre Boisvert, French-Canadian adult film star Voudon (algebra), a hypercomplex number with 256 dimensions New Orleans VooDoo, an arena football team Vancouver...

first stellation is the cube-octahedron compound. The octonions are a hypercomplex normed division algebra that are an extension of the complex numbers...

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

trigonometry. Hypercomplex analysis the extension of real analysis and complex analysis to the study of functions where the argument is a hypercomplex number. Hyperfunction...

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

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...

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

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

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

on the topic of: Split binarions Minkowski space Split-quaternion Hypercomplex number Vladimir V. Kisil (2012) Geometry of Mobius Transformations: Elliptic...

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...

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...

{\displaystyle k} . Maschke's theorem Brauer group Jacobson density theorem Hypercomplex number Emil Artin Joseph Wedderburn By the definition used here, semisimple...

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

Quaternions, split-complex numbers, dual numbers, and possibly other hypercomplex number systems form *-rings (with their built-in conjugation operation)...

algebra, partially due to their use in the classification of the hypercomplex number systems of the previous century. The inception of matrix mechanics...

[On Certain Relationships between the Arithmetic of Hypercomplex Number Systems and Algebraic Number Fields], Mathematische Annalen (in German), 111 (1):...