Identical-to sign

The identical-to sign ≡ is used for identities and modular congruence. State the convention, and include the modulus for a congruence.

IN FOCUS≡

IDENTICAL TO

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Meaning and context

The identical-to sign ≡ is used for identities and modular congruence. State the convention, and include the modulus for a congruence.

How to use it

For modular arithmetic, include the modulus. For an identity, state the domain and make clear that the equation holds throughout that domain.

Examples

Modular congruence

17 ≡ 2 (mod 5)

Both integers have the same remainder after division by five.

Algebraic identity

(x + 1)² ≡ x² + 2x + 1

The two expressions agree for every real x.

Similar shapes, different characters

=

Equals sign

U+003D

An ordinary equality may be enough when no identity or congruence convention is intended.

≈

Approximately equal

U+2248

Approximation expresses closeness instead of identity.

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