Encyclopedia > Kronecker delta

  Article Content

Kronecker delta

In mathematics, the Kronecker delta is a function of two variables, which is 1 if they are equal, and 0 otherwise. It is written as the symbol δij, and treated as a notational shorthand rather than a function.

<math>\delta_{ij} = \left\{\begin{matrix}
1 & \mbox{if } i=j \\ 0 & \mbox{if } i \ne j \end{matrix}\right.</math>

It is named after mathematician Leopold Kronecker[?] (1823-1891).

It is used in many areas of mathematics. For example, in linear algebra, the identity matrix can be written as:

ij)

See also Levi-Civita symbol.



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
List of rare diseases M

... Mental retardation short stature unusual facies[?] Mental retardation short stature wedge shaped epiphyses[?] Mental retardation skeletal dysplasia abducen ...