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Showing content from http://www.lispworks.com/documentation/HyperSpec/Body/f_conjug.htm below:

CLHS: Function CONJUGATE

Function CONJUGATE

Syntax:

conjugate number => conjugate

Arguments and Values:

number---a number.

conjugate---a number.

Description:

Returns the complex conjugate of number. The conjugate of a real number is itself.

Examples:

 (conjugate #c(0 -1)) =>  #C(0 1)
 (conjugate #c(1 1)) =>  #C(1 -1)
 (conjugate 1.5) =>  1.5
 (conjugate #C(3/5 4/5)) =>  #C(3/5 -4/5)
 (conjugate #C(0.0D0 -1.0D0)) =>  #C(0.0D0 1.0D0)
 (conjugate 3.7) =>  3.7

Side Effects: None.

Affected By: None.

Exceptional Situations: None.

See Also: None.

Notes:

For a complex number z,

 (conjugate z) ==  (complex (realpart z) (- (imagpart z)))
The following X3J13 cleanup issue, not part of the specification, applies to this section:
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