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Symbols · Relations

≡ Identical to (congruent)

Say it: “is identical to”, “is defined as”, “is congruent to”

What it means

Three bars mean more than equal: the two sides agree for every value (an identity), the left side is defined as the right, or, in number theory, two numbers leave the same remainder.

Read aloud in real formulas

Number theory

17 ≡ 2 (mod 5)

Aethel says

17 is congruent to 2, mod 5

17 and 2 leave the same remainder when divided by 5

Trigonometry

sin²θ + cos²θ ≡ 1

Aethel says

sin squared theta plus cos squared theta is equivalent to 1

true for every angle

Typing it

LaTeX
\equiv
Unicode
U+2261

Questions

How do you say ≡ out loud?

It is usually read “is identical to”, and also “is defined as” or “is congruent to”.

What does ≡ mean in maths?

Three bars mean more than equal: the two sides agree for every value (an identity), the left side is defined as the right, or, in number theory, two numbers leave the same remainder.

How do you type ≡?

In LaTeX, write \equiv. Its Unicode code point is U+2261.

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