Explore: Hypercomplex Number Systems

of hypercomplex numbers in the late 19th century forms the basis of modern group representation theory. In the nineteenth century, number systems called

different systems of numbers, such as the system of real numbers, the system of complex numbers, various hypercomplex number systems, the system of p-adic

are 3 different imaginary units. Each hypercomplex number system is a subset of the next hypercomplex number system of double dimensions obtained via the

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

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

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

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

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

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 Cayley