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Ceiling: Difference between revisions
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{{Built-in|Ceiling|⌈}} is a [[monadic]] [[scalar function]] that gives the [[wikipedia:floor and ceiling functions|ceiling]] of a real number, that is, the least integer [[ | {{Built-in|Ceiling|⌈}} is a [[monadic]] [[scalar function]] that gives the [[wikipedia:floor and ceiling functions|ceiling]] of a real number, that is, the least integer tolerantly<ref>[[Robert Bernecky|Bernecky, Robert]]. [https://www.jsoftware.com/papers/satn23.htm "Comparison Tolerance"]. Sharp APL Technical Notes. 1977-06-10;.</ref> [[greater than or equal to]] the given value. This operation is also known as '''round up'''. Ceiling shares the [[glyph]] <syntaxhighlight lang=apl inline>⌈</syntaxhighlight> with the dyadic arithmetic function [[Maximum]]. [[Comparison_with_traditional_mathematics#Prefix|Traditional mathematics]] derives [[Ken_Iverson#Floor_and_Ceiling|its notation]] and name for ceiling from APL. | ||
== Examples == | == Examples == | ||
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* [https://www.jsoftware.com/help/dictionary/d021.htm J Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/gtdot NuVoc] | * [https://www.jsoftware.com/help/dictionary/d021.htm J Dictionary], [https://code.jsoftware.com/wiki/Vocabulary/gtdot NuVoc] | ||
* [https://mlochbaum.github.io/BQN/doc/arithmetic.html#additional-arithmetic BQN] | * [https://mlochbaum.github.io/BQN/doc/arithmetic.html#additional-arithmetic BQN] | ||
== References == | |||
<references /> | |||
{{APL built-ins}}[[Category:Primitive functions]][[Category:Scalar monadic functions]] | {{APL built-ins}}[[Category:Primitive functions]][[Category:Scalar monadic functions]] | ||