Difference between revisions of "Ceiling function"
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| − | The '''ceiling function,''' also known as the "least integer function," gives the least integer greater than or equal to its argument. The ceiling of <math>x</math> is usually denoted by <math>\lceil x \rceil</math>. | + | The '''ceiling function,''' also known as the "least integer function," gives the least integer greater than or equal to its argument. The ceiling of <math>x</math> is usually denoted by <math>\lceil x \rceil</math>. The action of the function is also described by the phrase "rounding up." On the negative [[real number]]s, this corresponds to the action "dropping everything after the [[decimal point]]." |
For an example: | For an example: | ||
| − | <math>\lceil | + | <math>\lceil 3.14 \rceil = 4</math> |
| − | <math>\lceil | + | <math>\lceil 5 \rceil = 5</math> |
| + | |||
| + | <math>\lceil -3.2\rceil = -3 </math> | ||
==See Also== | ==See Also== | ||
*[[Floor function]] | *[[Floor function]] | ||
| + | *[[Fractional part]] | ||
Revision as of 11:48, 29 June 2006
The ceiling function, also known as the "least integer function," gives the least integer greater than or equal to its argument. The ceiling of 
is usually denoted by 
. The action of the function is also described by the phrase "rounding up." On the negative real numbers, this corresponds to the action "dropping everything after the decimal point."
For an example:
