Difference between revisions of "Floor function"
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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>. Note that this function is ''not'' the same as rounding or "dropping the decimal part." |
For example: | For example: | ||
*<math>\lfloor 3.14 \rfloor = 3</math> | *<math>\lfloor 3.14 \rfloor = 3</math> | ||
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| + | *<math>\lfloor 5 \rfloor = 5</math> | ||
*<math>\lfloor -2.7 \rfloor = -3</math> | *<math>\lfloor -2.7 \rfloor = -3</math> | ||
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==See Also== | ==See Also== | ||
*[[Ceiling function]] | *[[Ceiling function]] | ||
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| + | *[[Fractional part]] | ||
Revision as of 11:34, 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 
is usually denoted by 
or ![$[x]$](http://latex.artofproblemsolving.com/b/c/e/bceb7b14e55d33a8bca29b7863ad3cdae95afce4.png)
. Note that this function is not the same as rounding or "dropping the decimal part."
For example:
