Finding the Value of z and its Derivatives

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The discussion centers on the complex number z = 3 + 2i and its derivatives, specifically the complex conjugate and its square. The complex conjugate, denoted as \overline{z}, is defined as \overline{z} = x - iy, where x and y are the real and imaginary parts of z, respectively. The user clarifies that the notation \overline{z} was intended rather than just z. The discussion also touches on the calculation of z squared, z x z, and the significance of the horizontal line above z.

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uniidiot
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this will probably seem like a really stupid question but here goes.

If z = 3 + 2i find the following

i) z

ii) z x z(with a horizontal line above it)

iii) z^2

what does the horizontal bar mean, i can't find it in my reivsion books lol.

Thanks
 
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I suspect that a) was [itex]\overline{z}[/itex] rather than just z itself!

[itex]\overline{z}[/itex] is the "complex conjugate", a remarkably useful form: if z= x+ iy then [itex]\overline{z}[/itex]= x- iy.
 
thankyou!

and yes a) was suposed to be [itex]\overline{z}[/itex] lol
 

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