Tag: complex

Division

1. Dividing two complex numbers results in another complex number when the divisor is not 0, defined thus: All four quantities are real numbers. r and s may not both be 0
2. for complex numbers expressed in polar form is simpler than the definition above: Again all four quantities are real numbers. r may not be 0

domain

1. In real and complex analysis, a domain is an open connected subset of a real or complex vector space
2. In partial differential equations, a domain is an open connected subset of the euclidean space Rn, where the problem is posed, i.e., where the unknown function(s) are defined

Homological algebra

The chain complex is the central notion of homological algebra

Instantaneous phase

In some applications, such as averaging the values of phase at several moments of time, it may be useful to convert each value to a complex number, or vector representation

Internet

Many computer scientists see the Internet as a "prime example of a large-scale, highly engineered, yet highly complex system"