Difference between revisions of "Manuals/calci/IMCONJUGATE"
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<div style="font-size:30px">'''IMCONJUGATE(ComplexNumber)'''</div><br/> | <div style="font-size:30px">'''IMCONJUGATE(ComplexNumber)'''</div><br/> | ||
*<math>ComplexNumber</math> is of the form a+bi. | *<math>ComplexNumber</math> is of the form a+bi. | ||
+ | **IMCONJUGATE(), returns the complex conjugate of a complex number | ||
==Description== | ==Description== | ||
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*We can use [[Manuals/calci/COMPLEX | COMPLEX ]] function to convert the real and imaginary coefficients to a complex number. | *We can use [[Manuals/calci/COMPLEX | COMPLEX ]] function to convert the real and imaginary coefficients to a complex number. | ||
− | ==ZOS | + | ==ZOS== |
*The Syntax is to calculate IMCONJUGATE in ZOS is <math>IMCONJUGATE(Complexnumber)</math>. | *The Syntax is to calculate IMCONJUGATE in ZOS is <math>IMCONJUGATE(Complexnumber)</math>. | ||
**<math>ComplexNumber</math> is of the form a+bi. | **<math>ComplexNumber</math> is of the form a+bi. | ||
*For e.g.,IMCONJUGATE("-10+8.25i") | *For e.g.,IMCONJUGATE("-10+8.25i") | ||
+ | {{#ev:youtube|rwCcfUGpk9Q|280|center|IMConjugate}} | ||
==Examples== | ==Examples== | ||
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| 5+0i | | 5+0i | ||
|} | |} | ||
+ | |||
+ | ==Related Videos== | ||
+ | |||
+ | {{#ev:youtube|BZxZ_eEuJBM|280|center|Complex Conjugates}} | ||
==See Also== | ==See Also== | ||
Line 64: | Line 70: | ||
==References== | ==References== | ||
[http://en.wikipedia.org/wiki/Complex_conjugate Complex Conjugate] | [http://en.wikipedia.org/wiki/Complex_conjugate Complex Conjugate] | ||
+ | |||
+ | |||
+ | |||
+ | *[[Z_API_Functions | List of Main Z Functions]] | ||
+ | |||
+ | *[[ Z3 | Z3 home ]] |
Latest revision as of 18:38, 13 July 2018
IMCONJUGATE(ComplexNumber)
- is of the form a+bi.
- IMCONJUGATE(), returns the complex conjugate of a complex number
Description
- This function gives the conjugate of a complex number.
- Let the complex number be , then: and it is denoted by or .
- So complex number and complex conjugate both also having same real number and imaginary number with
the equal magnitude and opposite sign of a imaginary number.
- The properties of a Complex Conjugate are:
- if imaginary number is '0' and
- and
- .
- We can use COMPLEX function to convert the real and imaginary coefficients to a complex number.
ZOS
- The Syntax is to calculate IMCONJUGATE in ZOS is .
- is of the form a+bi.
- For e.g.,IMCONJUGATE("-10+8.25i")
Examples
Equation | a | bi | Conjugate |
---|---|---|---|
=IMCONJUGATE("3+4i") | 3 | 4i | 3-4i |
=IMCONJUGATE("6-7i") | 6 | -7i | 6+7i |
=IMCONJUGATE("8j") | 0 | 8j | 0-8j |
=IMCONJUGATE("2") | 2 | 0 | 2+0i |
=IMCONJUGATE("5+0i") | 5 | 0i | 5+0i |
Related Videos
See Also
References