- 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...
- trigonometry. He is also
known for
contributions to
space geometry,
hypercomplex numbers, and
criticism of
early physical chemistry.
Study was born in...
-
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...
- function: a
function whose domain is quaternionic.
Hypercomplex function: a
function whose domain is
hypercomplex (e.g. quaternions, octonions, sedenions, trigintaduonions...
-
Noncommutative ring
theory began with
extensions of the
complex numbers to
hypercomplex numbers,
specifically William Rowan Hamilton's
quaternions in 1843. Many...
-
epoch (1927–1935), she
published works on
noncommutative algebras and
hypercomplex numbers and
united the
representation theory of
groups with the theory...
