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) = z(bar) = a-bi</math> and it is denoted by <math>\ | + | *The complex number <math>z = a+bi</math>, then <math>IMCONJUGATE(a+bi) = z(bar) = 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 | ||
− | #z= | + | #<math>z=/bar{x)</math> if imaginary number is '0' and <math>z=/bar{/bar{x}} = z</math> |
− | #|z | + | #<math>|/bar{z}|=|z|</math> and <math>|z|^2 = z.\bar{z} = \bar{z}.z</math> |
#Real part (a)=z+z(bar)/2 | #Real part (a)=z+z(bar)/2 | ||
#Imaginary part(b)=z-z(bar)/2i.We can use COMPLEX function to convert the real and imginary coefficients to a complex number. | #Imaginary part(b)=z-z(bar)/2i.We can use COMPLEX function to convert the real and imginary coefficients to a complex number. |
Revision as of 04:02, 25 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
- Failed to parse (syntax error): {\displaystyle z=/bar{x)} if imaginary number is '0' and
- and
- Real part (a)=z+z(bar)/2
- Imaginary part(b)=z-z(bar)/2i.We can use COMPLEX function to convert the real and imginary coefficients to a complex number.
Examples
- IMCONJUGATE("3+4i")=3+-4i
- IMCONJUGATE("6-7i")=6+7i
- IMCONJUGATE("2")=2+0i
- IMCONJUGATE("8j")=0+-8j
- IMCONJUGATE("5+0i")=5+0i