hypercomplex 예문
- Similarly, hypercomplex receptive fields can be stopped at both ends.
- Further some aspects of Clifford analysis are referred to as hypercomplex analysis.
- In mathematical physics there are hypercomplex systems called Clifford algebras.
- It was matrix algebra that harnessed the hypercomplex systems.
- First, matrices contributed new hypercomplex numbers like 2 ?2 real matrices.
- See hypercomplex numbers for other low-dimensional examples.
- Hypercomplex analysis on Banach algebras is called functional analysis.
- Research turned to hypercomplex numbers more generally.
- For instance, in 1929 Emmy Noether wrote on " hypercomplex quantities and representation theory ".
- In 1973 Kantor and Solodovnikov published a textbook on hypercomplex numbers which was translated in 1989.
- His interest concentrated on so-called higher complex numbers ( nowadays called hypercomplex numbers ).
- For hypercomplex receptive fields, the bar might also need to be of a particular length.
- In ?4 ( p 386 ) Scheffers reviews both German and English authors on hypercomplex numbers.
- All hypercomplex number systems after sedenions that are based on the Cayley Dickson construction contain zero divisors.
- This phenomenon is termed end-stopping, and it is the defining property of hypercomplex cells.
- For example, the hypercomplex numbers of the nineteenth century had kinematic and physical motivations but challenged comprehension.
- Note however, that non-associative systems like octonions and hyperbolic quaternions represent another type of hypercomplex number.
- As Hawkins explains, the hypercomplex numbers are stepping stones to learning about Lie groups and group representation theory.
- The theory of functions on algebras, also referred to as hypercomplex analysis, is the study of algebra.
- Among the first were the hypercomplex numbers, which consist of various extensions or modifications of the complex number system.