Difference between revisions of "Manuals/calci/IMCONJUGATE"
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**<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|Average}} | ||
==Examples== | ==Examples== |
Revision as of 04:29, 25 June 2014
IMCONJUGATE(ComplexNumber)
- is of the form a+bi.
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 Section
- 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 |