- What is the definition of angle in conformal mappings and how can we find angle between them for example if $\gamma_1(t)= \sin t$ and $\gamma_2(t)= \exp(it)$ then at $t=0$ find angle.
compex analysis, angle of conformal mapping
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complex-analysis
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0please use LaTeX to typeset your formulas. Also, your $\gamma_1$ is just a function on the real line, your $\gamma_2$ a complex valued one (which one may interpret as a curve). In order to take about angles you need something like tangent vectors, e.g. tangents to differentible curves. – 2012-06-01
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0I don't think your curves $\gamma_1$ and $\gamma_2$ intersect at $t = 0$. – 2012-06-01
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0I suspect something is missing in the definition of $\gamma_1$ -- as stated, this is a very odd way to parametrize the interval $[-1,1]$. – 2012-06-01
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0also I dont know more about this, but a very intelligent person asked me this question. also he asked me what is the definition of this angle, – 2012-06-02