\lfloor \rfloor - LaTeX Symbol

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⌊ ⌋

\lfloor \rfloor

The floor function, denoted by \lfloor \rfloor, represents the greatest integer less than or equal to a given number. It is used to round down a real number to the nearest integer.

Examples

⌊ 3.7 ⌋ = 3

Rounding down a positive decimal number to the nearest integer.

\lfloor 3.7 \rfloor = 3

⌊ - 2.3 ⌋ = - 3

Rounding down a negative decimal number to the nearest integer.

\lfloor -2.3 \rfloor = -3

⌊ 5 ⌋ = 5

Applying the floor function to an integer, which remains unchanged.

\lfloor 5 \rfloor = 5