TeXipedia

thicksim

Represents a thicker version of the tilde symbol (~), commonly used in mathematical notation to denote similarity or equivalence relationships.

Overview

Provides a more visually prominent alternative to the standard tilde symbol, particularly useful in complex mathematical expressions where visual clarity is important.

  • Often employed in advanced mathematics to denote specific types of equivalence relations
  • Frequently used in abstract algebra and topology to indicate homeomorphisms or similar structures
  • Particularly valuable in printed documents where standard tilde might appear too thin
  • Common in mathematical texts where multiple similarity relations need to be visually distinguished

Examples

Expressing an approximate equivalence relationship between two variables.

xyx \thicksim y
x \thicksim y

Indicating a statistical distribution relationship.

XN(μ,σ2)X \thicksim N(\mu, \sigma^2)
X \thicksim N(\mu, \sigma^2)

Showing asymptotic behavior of a function.

f(n)g(n) as nf(n) \thicksim g(n) \text{ as } n \to \infty
f(n) \thicksim g(n) \text{ as } n \to \infty