ceiling fn (CeilingFn)

(CeilingFn number) returns the smallest Integer greater than or equal to the RealNumber number.

Ontologie

SUMO / NUMERIC-FUNCTIONS

Class(es)

třída

inheritable relation

unární funkce

ceiling fn

Související termín(y)

absolute value fn abstraction fn arc cosine fn arc sine fn arc tangent fn back fn begin fn begin node fn cardinality fn complement fn cosine fn cut set fn denominator fn end fn end node fn extension fn floor fn front fn future fn generalized intersection fn generalized union fn giga fn imaginary part fn immediate future fn immediate past fn initial node fn integer square root fn kilo fn list length fn magnitude fn mega fn micro fn milli fn minimal cut set fn nano fn numerator fn organization fn past fn path weight fn pico fn power set fn predecessor fn principal host fn probability fn property fn rational number fn real number fn reciprocal fn round fn signum fn sine fn skin fn square root fn successor fn tangent fn tera fn terminal node fn wealth fn when fn year fn

Typy argumentů

celé číslo CeilingFn(reálné číslo)

Axiomy (2)

Jestliže "ceiling fn(number)" se rovná int, potom neexistuje celé číslo otherint tak, že otherint je větší než nebo roven number a otherint je menší než int.

(=>
      (equal
            (CeilingFn ?NUMBER)
            ?INT)
      (not
            (exists
                  (?OTHERINT)
                  (and
                        (instance ?OTHERINT Integer)
                        (greaterThanOrEqualTo ?OTHERINT ?NUMBER)
                        (lessThan ?OTHERINT ?INT)))))

jestliže "round fn(number1)" se rovná number2,
potom
- jestliže "(number1-"floor fn(number1)")" je menší než , potom number2 se rovná "floor fn(number1)"
- jestliže "(number1-"floor fn(number1)")" je větší než nebo roven , potom number2 se rovná "ceiling fn(number1)"

(=>
      (equal
            (RoundFn ?NUMBER1)
            ?NUMBER2)
      (or
            (=>
                  (lessThan
                        (SubtractionFn
                              ?NUMBER1
                              (FloorFn ?NUMBER1))
                        0.5)
                  (equal
                        ?NUMBER2
                        (FloorFn ?NUMBER1)))
            (=>
                  (greaterThanOrEqualTo
                        (SubtractionFn
                              ?NUMBER1
                              (FloorFn ?NUMBER1))
                        0.5)
                  (equal
                        ?NUMBER2
                        (CeilingFn ?NUMBER1)))))