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". |
| − | + | ==Examples== | |
| − | <math>\lceil | + | *<math>\lceil 3.14 \rceil = 4</math> |
| − | <math>\lceil | + | *<math>\lceil 5 \rceil = 5</math> |
| + | |||
| + | *<math>\lceil -3.2\rceil = -3 </math> | ||
| + | |||
| + | *<math>\lceil 100.2 \rceil = 101</math> | ||
| + | |||
| + | ==Relation to the Floor Function== | ||
| + | For an [[integer]], the ceiling function is equal to the floor function. For any other number, the ceiling function is the floor function plus [[one]]. | ||
==See Also== | ==See Also== | ||
*[[Floor function]] | *[[Floor function]] | ||
| + | *[[Fractional part]] | ||
| + | |||
| + | [[Category:Functions]] | ||
Latest revision as of 19:26, 8 December 2016
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".
Examples
Relation to the Floor Function
For an integer, the ceiling function is equal to the floor function. For any other number, the ceiling function is the floor function plus one.
