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Showing posts from January 3, 2019

Cauchy-Riemann equations for $z=x+iy$ and $f(z)=R(x,y)e^{itheta(x,y)}$

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1 I know the following forms of the Cauchy-Riemann equations (please correct me if I made a mistake): $frac{partial u}{partial x} = frac{partial v}{partial y}$ , $frac{partial u}{partial y} = -frac{partial v}{partial x}$ , where $z=x+iy$ , $f(z)=u(x,y)+iv(x,y)$ , $rfrac{partial u}{partial r} = frac{partial v}{partial theta}$ , $frac{partial u}{partial theta} = -rfrac{partial v}{partial r}$ , where $z=re^{itheta}$ , $f(z)=u(r,theta)+iv(r,theta)$ , $frac{partial ln R}{partial ln r} = frac{partial varphi}{partial theta}$ , $frac{partial ln R}{partial theta} = -frac{partial varphi}{partial ln r}$ , where $z=re^{itheta}$ , $f(z)=R(r,theta)e^{ivarphi(r,theta)}$ . Can someone show me the fourth form, i.e. with $z=x+iy$ and $f(z)=R(x,y)e^{ivarphi(x,y)}$ , preferably with a proof if it is not too bothersome? ...

CentOs 7 Apache 2.4 PostGresql 9.2

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0 I have a virtual machine with CentOS 7. I have installed Apache, postgresql and bugzilla. I Unfortunately apache can not connect to postgresql. the connection is denied. Coudl you help me please ? regards apache-http-server postgresql share | improve this question asked Dec 20 '18 at 19:36 user976093 1 Welcome Super User! It probably is the Bugzilla that can't connect to the database, righ...