Definition:Modulus

Disambiguation

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Modulus may refer to:

• 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 $\ds \size k = \sum_{j \mathop \in J} k_j$

• 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 $\size f$ 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.

• Physics:
  • Modulus of Elasticity

Also see

• Definition:Module