Definition:Power


 * Algebra, analysis and complex analysis:
 * Power (Algebra): $x^y$ is the $y$th power of $x$.


 * Abstract Algebra:
 * Power of an Element: the same concept for a general algebraic structure, which can be refined:
 * Power of Magma Element: ... in a magma
 * Power of Element of Magma with Identity: ... in a magma with an identity element
 * Power of Semigroup Element: ... in a semigroup
 * Power of Monoid Element: ... in a monoid
 * Power of Group Element: ... in a group
 * Power of Ring Element: ... in a ring
 * Power of Element in $B$-algebra: ... in a $B$-algebra


 * Set Theory:
 * Power of a Set: Another name for the cardinality of a set.
 * Power Set: The set of subsets of a set.