Difference between revisions of "Manuals/calci/IMCONJUGATE"
Jump to navigation
Jump to search
| Line 5: | Line 5: | ||
*The complex number z=a+bi, then IMCONJUGATE(a+bi)=z(bar)=a-bi and it is denoted by z(bar) or z^*. | *The complex number z=a+bi, then IMCONJUGATE(a+bi)=z(bar)=a-bi and it is denoted by z(bar) or z^*. | ||
*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 | |
*1. z=z(bar) iff imaginary number is '0' and z(bar)(bar)=z | *1. z=z(bar) iff imaginary number is '0' and z(bar)(bar)=z | ||
Revision as of 06:30, 23 November 2013
IMCONJUGATE(z)
- where 'z' is the complex number.
Description
- This function gives the conjugate of a complex number.
- The complex number z=a+bi, then IMCONJUGATE(a+bi)=z(bar)=a-bi and it is denoted by z(bar) or z^*.
- 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
- 1. z=z(bar) iff imaginary number is '0' and z(bar)(bar)=z
- 2.|z(bar)|=|z| and|z|^2=z.z(bar)=z(bar).z
- 3. Real part (a)=z+z(bar)/2
- 4. 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