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# 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)))))```