TeXipedia

backsim

Denotes a reversed tilde relation symbol commonly used in mathematical expressions to indicate similarity or proportionality in reverse orientation.

Overview

Serves as a specialized mathematical relation symbol that provides a reversed version of the standard tilde operator, particularly useful in advanced mathematics and theoretical physics.

  • Often employed in abstract algebra and topology to denote specific reversed similarity relationships
  • Helpful when standard similarity notation needs to be distinguished from reversed relationships
  • Frequently appears in academic papers and advanced mathematical proofs where precise relation notation is crucial

Examples

Expressing that two random variables are approximately distributed according to a distribution.

X∽N(μ,σ2)X \backsim N(\mu, \sigma^2) 
X \backsim N(\mu, \sigma^2)

Indicating approximate proportionality between two quantities.

f(x)∽x2 as x→∞f(x) \backsim x^2 \text{ as } x \to \infty 
f(x) \backsim x^2 \text{ as } x \to \infty

Showing asymptotic behavior in statistical analysis.

θ^n∽N(θ,σ2n)\hat{\theta}_n \backsim N(\theta, \frac{\sigma^2}{n}) 
\hat{\theta}_n \backsim N(\theta, \frac{\sigma^2}{n})