TeXipedia

approxcolon

Represents an approximation relation combined with a colon, commonly used in mathematical definitions and approximate equivalences.

Overview

Serves as a specialized mathematical symbol combining the properties of an approximation sign with a colon, particularly useful in advanced mathematical notation and formal proofs.

  • Frequently appears in theoretical mathematics and computer science contexts
  • Used when defining approximate relationships or mappings
  • Often employed in mathematical logic and set theory notation
  • Helpful for expressing approximate correspondences between mathematical objects

Examples

Expressing an approximate proportionality relationship between variables.

f(x)≈:k⋅g(x)f(x) \approxcolon k\cdot g(x) 
f(x) \approxcolon k\cdot g(x)

Indicating an approximate definition or correspondence in mathematical notation.

y≈:x2+ϵy \approxcolon x^2 + \epsilon 
y \approxcolon x^2 + \epsilon

Showing approximate equality in statistical estimation.

θ^≈:1n∑i=1nxi\hat{\theta} \approxcolon \frac{1}{n}\sum_{i=1}^n x_i 
\hat{\theta} \approxcolon \frac{1}{n}\sum_{i=1}^n x_i