Category. Mathematics.
Abstract. Absolute value: definition, plot, properties and identities.
Reference. This article is a part of Librow scientific formula calculator project.
Absolute value function is defined as
|x| = x for x ≥ 0;Absolute value function is defined everywhere on real axis. Its plot is depicted below — fig. 1.
[画像:Fig. 1. Plot of the absolute value function y = |x|.] Fig. 1. Plot of the absolute value function y = |x|.Function codomain is non-negative half of the real axis: [0, +∞).
Function is symmetrical:
|−x| = |x|Sum and difference of arguments:
|x + y| = |x| + |y|, if signx = signyProduct and ratio of arguments:
|xy| = |x||y|Absolute value function abs of the real argument is supported by free version of the Librow calculator.
Absolute value function abs of the complex argument is supported by professional version of the Librow calculator.
To calculate absolute value of the number:
abs(-1);To calculate absolute value of the current result:
abs(rslt);To calculate absolute value of the number x in memory:
abs(mem[x]);