Vipul: Created page with "==Definition== Suppose $n$ is a positive integer. The '''signum vector function''' is a function $\R^n \to \R^n$ whose behavior in each coordinate is as..."

2014-05-11T18:34:35Z

Created page with "==Definition== Suppose <math>n</math> is a positive integer. The '''signum vector function''' is a function <math>\R^n \to \R^n</math> whose behavior in each coordinate is as..."

New page

==Definition==

Suppose <math>n</math> is a positive integer. The '''signum vector function''' is a function <math>\R^n \to \R^n</math> whose behavior in each coordinate is as per the signum function. Explicitly, it is defined as the function:

<math>(x_1,x_2,\dots,x_n) \mapsto (\operatorname{sgn}(x_1),\operatorname{sgn}(x_2),\dots,\operatorname{sgn}(x_n))</math>

Signum vector function - Revision history

Vipul: Created page with "==Definition== Suppose n is a positive integer. The '''signum vector function''' is a function \R^n \to \R^n whose behavior in each coordinate is as..."

Vipul: Created page with "==Definition== Suppose $n$ is a positive integer. The '''signum vector function''' is a function $\R^n \to \R^n$ whose behavior in each coordinate is as..."