TeXipedia

bumpeq

Denotes a bumpy equals relation, indicating approximate equality with a small bump in the middle of the symbol.

Overview

Serves as a specialized mathematical relation symbol primarily used in advanced mathematics and theoretical physics to indicate a particular type of approximate equality or correspondence between expressions.

  • Common in abstract algebra and topology when precise equivalence needs distinction from standard equality.
  • Often appears alongside similar relation symbols like \approx and \cong to indicate specific types of mathematical relationships.
  • Particularly useful in contexts where subtle distinctions between different types of equivalence or approximation are important.

Examples

Expressing approximate geometric congruence between shapes.

△ABC≏△DEF\triangle ABC \bumpeq \triangle DEF 
\triangle ABC \bumpeq \triangle DEF

Indicating nearly equal quantities in physics.

m1≏m2m_1 \bumpeq m_2 
m_1 \bumpeq m_2

Showing approximate equivalence in 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