Definition of Hypercomplex. Meaning of Hypercomplex. Synonyms of Hypercomplex

- 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...
- A hypercomplex cell (currently called an end-stopped cell) is a type of visual processing neuron in the mammalian cerebral cortex. Initially discovered...
- In differential geometry, a hypercomplex manifold is a manifold with the tangent bundle equipped with an action by the algebra of quaternions in such a...
- and may be seen as extending the concept. Among the first were the hypercomplex numbers, which consist of various extensions or modifications of the...
- 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...
- Noncommutative ring theory began with extensions of the complex numbers to hypercomplex numbers, specifically William Rowan Hamilton's quaternions in 1843. Many...
- of cells in the visual cortex into simple cells, complex cells, and hypercomplex cells. Simple cell receptive fields are elongated, for example with an...
- Universal Homological Analysis Calculus Real analysis Complex analysis Hypercomplex analysis Differential equations Functional analysis Harmonic analysis...
- function: a function whose domain is quaternionic. Hypercomplex function: a function whose domain is hypercomplex (e.g. quaternions, octonions, sedenions, trigintaduonions...