TeXipedia

Bumpeq

Denotes a geometric or algebraic relation indicating approximately equal with a small bump, commonly used in mathematical proofs and formal notation.

Overview

Serves as a specialized mathematical relation symbol that combines the concepts of approximation and geometric correspondence. Most frequently encountered in:

  • Advanced algebra and geometric proofs where precise relationships need to be distinguished from standard equality
  • Mathematical analysis when describing near-equivalence of expressions
  • Formal mathematical writing where subtle distinctions between different types of equivalence are important

Often used alongside similar relation symbols like \approx and \sim to provide nuanced mathematical descriptions.

Examples

Expressing an approximate geometric equivalence between two shapes.

△ABC≎△DEF\triangle ABC \Bumpeq \triangle DEF 
\triangle ABC \Bumpeq \triangle DEF

Indicating a rough correspondence between mathematical expressions.

f(x)≎g(x) for x→∞f(x) \Bumpeq g(x) \text{ for } x \to \infty 
f(x) \Bumpeq g(x) \text{ for } x \to \infty

Showing approximate equality in a physical relationship.

E≎mc2 (rough approximation)E \Bumpeq mc^2 \text{ (rough approximation)} 
E \Bumpeq mc^2 \text{ (rough approximation)}