Recent content by Natura

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    Graduate Finding Derivatives of Analytic Functions: Chain Rule Confusion

    Yeah, I figured it out last time, but thanks for asking. Appreciate it. :)
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    Graduate Finding Derivatives of Analytic Functions: Chain Rule Confusion

    Nevermind, I can see that my expressions for \frac{∂x}{∂z} and \frac{∂y}{∂z} are wrong and are off by a factor of (1/2) ... Thanks again.
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    Graduate Finding Derivatives of Analytic Functions: Chain Rule Confusion

    Firstly, thank you for the responses. I agree I wasn't clear enough in my initial post. I'll try to correct that now. Since z = x + iy We can rearrange to get x = z -iy therefore \frac{∂x}{∂z} = \frac{∂z}{∂z} = 1 Similarly for y we get \frac{∂y}{∂z} = -i Then using the...
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    Graduate Finding Derivatives of Analytic Functions: Chain Rule Confusion

    Hello, I'm sorry if I'm not posting this to the correct place - this is my first post on PhysicsForums.com My question regards derivatives of analytic functions. Here it goes: Let w(z) = u(x,y) +iv(x,y) be an analytic function, where z = x + iy, for some x,y that are real...