Art of Problem Solving

Floor function: Difference between revisions

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The '''greatest integer function''', also known as the floor function, gives the greatest integer less than or equal to its argument.  The floor of <math>x</math> is usually denoted by <math>\lfloor x \rfloor</math> or <math>[x]</math>.
The '''greatest integer function''', also known as the "floor function," gives the greatest integer less than or equal to its argument.  The floor of <math>x</math> is usually denoted by <math>\lfloor x \rfloor</math> or <math>[x]</math>.


For example:
For example:

Revision as of 11:29, 29 June 2006

The greatest integer function, also known as the "floor function," gives the greatest integer less than or equal to its argument. The floor of $x$ is usually denoted by $\lfloor x \rfloor$ or $[x]$.

For example:

  • $\lfloor 3.14 \rfloor = 3$
  • $\lfloor -2.7 \rfloor = -3$
  • $\lfloor 5 \rfloor = 5$

See Also