Difference between revisions of "Manuals/calci/IMCONJUGATE"
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==Description== | ==Description== | ||
*This function gives the conjugate of a complex number. | *This function gives the conjugate of a complex number. | ||
− | *The complex number <math>z = a+bi</math>, then: <math>IMCONJUGATE(a+bi) = | + | *The complex number <math>z = a+bi</math>, then: <math>IMCONJUGATE(a+bi) = \bar{z} = a-bi</math> and it is denoted by <math>\bar{z}</math> or <math>z^*</math>. |
*So complex number and complex conjugate both also having same real number and imaginary number with | *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.Also | the equal magnitude and opposite sign of a imaginary number.Also |
Revision as of 01:53, 26 November 2013
IMCONJUGATE(z)
- where is the complex number.
Description
- This function gives the conjugate of a complex number.
- The complex number , 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.Also
- if imaginary number is '0' and
- and
- .
We can use COMPLEX function to convert the real and imaginary coefficients to a complex number.
Examples
Equation | a | bi | Result | Result |
---|---|---|---|---|
=IMCONJUGATE("3+4i") | 3 | 4i | 3+4i | 3-4i |
=IMCONJUGATE("6-7i") | 6 | -7i | 6+7i | |
=IMCONJUGATE("8j") | 0 | 8j | 0+8j | 0-8j |
=IMCONJUGATE("2") | 2 | 0 | 2+0i | |
=IMCONJUGATE("5+0i") | 5 | 0i | 5+0i |