Definition:Modulus


 * Algebra and Real Analysis:
 * The absolute value $\size x$ of a real number $x$.
 * Modulus of a Multiindex: The modulus of a multiindex $k = \sequence {k_j}_{j \mathop \in J}$ is defined as $\displaystyle \size k = \sum_{j \mathop \in J} k_j$


 * Complex Analysis:
 * Modulus of Complex Number: the length of a complex number when drawn as a vector on the complex plane.
 * Modulus of Complex-Valued Function: The real-valued function $\left|{f}\right|$ obtained by taking the (complex) modulus of all the values of the complex-valued function $f$.


 * Geometric Function Theory:
 * Modulus: The term modulus is used to denote certain conformal invariants of configurations or curve families.


 * Number Theory:
 * Modulus: where $x \equiv y \pmod z$, $z$ is the modulus.

Also see

 * Definition:Module