return the complex conjugate - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Group Theory : Numbers : Complex Numbers : conjugate

conjugate - return the complex conjugate

Calling Sequence

conjugate(x)

x&conjugate0;

Parameters

x

-

expression

Description

• 

The conjugate(x) function computes the complex conjugate  of x.

• 

You can enter the command conjugate using either the 1-D or 2-D calling sequence. For example, conjugate(3 + 5*I) is equivalent to 3+5I&conjugate0;.

• 

If x includes a function f, then conjugate(x) executes the procedure `conjugate/f` (if it exists) to compute the conjugate of the corresponding part of the expression.

  

By this method, the functionality of this command can be extended.  For example, recording that a function f is conjugate symmetric can be accomplished by defining the following function.

conjugate/f:=procxfconjugatexend proc

• 

To specify that unknown variables should be assumed to represent real values, use the assume or the evalc command.

Thread Safety

• 

The conjugate command is thread-safe as of Maple 15.

• 

For more information on thread safety, see index/threadsafe.

Examples

3+5I&conjugate0;

35I

(1)

3+5Iz&conjugate0;

35Iz&conjugate0;

(2)

3I&conjugate0;

3+I

(3)

5I&conjugate0;

5I

(4)

x2y&conjugate0;

x2y&conjugate0;

(5)

1&conjugate0;

I

(6)

sinⅇ&conjugate0;

sinⅇ

(7)

ⅇ3I&conjugate0;

1ⅇ3I

(8)

ⅇ1I&conjugate0;

ⅇ1+I

(9)

ln1&conjugate0;

Iπ

(10)

polar3,π7&conjugate0;

polar3,17π

(11)

See Also

assume, combine, evalc, expand, initialfunctions, Re


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam