Symbol meaning

≈, ≃, ≅, and ∼: Which Approximation Symbol?

Distinguish approximate numerical equality, asymptotic similarity, congruence, equivalence, and field-specific similarity symbols.

Compare the possible meanings

NotationTypical meaningHow to identify it
Approximately equalNumerical approximation
Similar, distributed as, asymptoticField dependent
Congruent or isomorphicGeometry or algebra
Asymptotically or structurally equivalentConvention dependent

Examples

  • π≈3.14159.
  • X∼N(0,1) means X is distributed normally.
  • Two triangles may be marked congruent with ≅.

How to decide

Use ≈ for ordinary numerical rounding; use another symbol only after stating or following the field convention.

How to verify the interpretation

Read the statement aloud using the intended relation and check a trusted definition for that subject.

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