conjugate

conjugate Function

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 

Notes:

For a complex number z,

(conjugate z) ≡ (complex (realpart z) (- (imagpart z)))

Expanded Reference: conjugate

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(conjugate )