circeq
Denotes a circular equality relationship between mathematical expressions, indicating equivalence under cyclic permutation.
Overview
Primarily used in abstract algebra and group theory to express cyclic relationships or rotational symmetries between mathematical objects.
- Common in permutation group notation and cyclic group theory
- Helpful when describing periodic or cyclical mathematical patterns
- Often appears in advanced algebra texts and research papers discussing symmetry properties
- Useful for expressing equivalence classes under cyclic transformations
Examples
Defining a circular equivalence relation between two sets.
A \circeq B \iff |A| = |B|Expressing circular congruence in modular arithmetic.
x \circeq y \pmod{n}Denoting cyclic equivalence in group theory.
g_1 \circeq g_2 \text{ in } G/H