TeXipedia

varOmega

Represents a variant form of the uppercase Greek letter Omega, commonly used in mathematics and physics to denote specific mathematical objects or physical quantities.

Overview

Serves as a distinct stylistic variant of the standard uppercase Omega, offering a more cursive or decorative appearance while maintaining the same semantic meaning.

  • Frequently used in mathematical analysis to denote sample spaces in probability theory
  • Common in physics for denoting solid angles or angular velocity
  • Appears in electrical engineering to represent electrical resistance in ohms
  • Often preferred when multiple Omega symbols are needed in the same context to distinguish different quantities

Examples

Representing a sample space in probability theory.

P(Ω)=1P(\varOmega) = 1 
P(\varOmega) = 1

Denoting the asymptotic growth rate in complexity analysis.

T(n)=Ω(nlog⁡n)T(n) = \varOmega(n \log n) 
T(n) = \varOmega(n \log n)

Indicating a domain boundary in calculus.

∫∂ΩF⋅ds=∬Ω(∇×F)⋅dA\int_{\partial\varOmega} F \cdot ds = \iint_{\varOmega} (\nabla \times F) \cdot dA 
\int_{\partial\varOmega} F \cdot ds = \iint_{\varOmega} (\nabla \times F) \cdot dA