zero of a function
The zero set of is the set
Remark. When is a “simple” space, such as or a zero is also called a root. However, in pure mathematics and especially if is infinite, it seems to be customary to talk of zeroes and the zero set instead of roots.
For any , define by . Then and if .
Suppose is a polynomial (http://planetmath.org/Polynomial) of degree . Then has at most zeroes. That is, .
If and are functions and , then
where is the function .
For any , then
where is the defined .
If and are both real-valued functions, then
|Title||zero of a function|
|Date of creation||2013-03-22 14:00:58|
|Last modified on||2013-03-22 14:00:58|
|Last modified by||mathcam (2727)|