imaginary part fn (ImaginaryPartFn)

(ImaginaryPartFn number) returns the part of number that has the square root of -1 as its factor.

Ontology

SUMO / NUMERIC-FUNCTIONS

Class(es)

class

inheritable relation

unary function

imaginary part fn

Coordinate term(s)

absolute value fn abstraction fn arc cosine fn arc sine fn arc tangent fn back fn begin fn begin node fn cardinality fn ceiling 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 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

Type restrictions

imaginary number ImaginaryPartFn(complex number)

Related WordNet synsets

imaginary part, imaginary part of a complex number: the part of a complex number that has the square root of -1 as a factor

Axioms (1)

If number is an instance of complex number, then there exist part1,part2 so that part1 is equal to "the real part of number" and part2 is equal to "the imaginary part of number".

(=>
      (instance ?NUMBER ComplexNumber)
      (exists
            (?PART1 ?PART2)
            (and
                  (equal
                        ?PART1
                        (RealNumberFn ?NUMBER))
                  (equal
                        ?PART2
                        (ImaginaryPartFn ?NUMBER)))))