Difference between revisions of "Manuals/calci/IMCONJUGATE"
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Line 20: | Line 20: | ||
! a | ! a | ||
! bi | ! bi | ||
− | |||
! Result | ! Result | ||
|- class="odd" | |- class="odd" | ||
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| 3 | | 3 | ||
| 4i | | 4i | ||
− | |||
| 3-4i | | 3-4i | ||
|- class="even" | |- class="even" | ||
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| 6 | | 6 | ||
| -7i | | -7i | ||
− | | 6+7i | + | | 6+7i |
− | |||
|- class="odd" | |- class="odd" | ||
| =IMCONJUGATE("8j") | | =IMCONJUGATE("8j") | ||
| 0 | | 0 | ||
| 8j | | 8j | ||
− | |||
| 0-8j | | 0-8j | ||
|- class="even" | |- class="even" | ||
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| 0 | | 0 | ||
| 2+0i | | 2+0i | ||
− | |||
|- class="odd" | |- class="odd" | ||
| =IMCONJUGATE("5+0i") | | =IMCONJUGATE("5+0i") | ||
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| 0i | | 0i | ||
| 5+0i | | 5+0i | ||
− | |||
|} | |} | ||
Revision as of 00:03, 27 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 |
---|---|---|---|
=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 |