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 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]]." | + | 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]] and adding one." |
| − | + | ==Examples== | |
| − | <math>\lceil 3.14 \rceil = 4</math> | + | *<math>\lceil 3.14 \rceil = 4</math> |
| − | <math>\lceil 5 \rceil = 5</math> | + | *<math>\lceil 5 \rceil = 5</math> |
| − | <math>\lceil -3.2\rceil = -3 </math> | + | *<math>\lceil -3.2\rceil = -3 </math> |
==See Also== | ==See Also== | ||
*[[Floor function]] | *[[Floor function]] | ||
*[[Fractional part]] | *[[Fractional part]] | ||
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| + | [[Category:Functions]] | ||
Revision as of 16:56, 24 November 2007
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 and adding one."
