Luis_G
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 Apr16 asked Independent and Identically Distributed Probability Question Apr4 comment Prove $Tf$ is continuous, $T$ is a contraction and find a solution to the integral $f(x)$ How would I go about solving this equation? And is my answer to a.) correct? I think I have included some errors in my proof? Apr4 asked Prove $Tf$ is continuous, $T$ is a contraction and find a solution to the integral $f(x)$ Apr3 asked Which of the following sets are open (or closed)? Nov17 awarded Commentator Nov17 comment Evaluate the integral $\int_{\gamma}\frac{z^2+2z}{z^2+4}dz$ I've changed my partial fractions. Is this now correct? Nov17 revised Evaluate the integral $\int_{\gamma}\frac{z^2+2z}{z^2+4}dz$ deleted 38 characters in body Nov17 comment Evaluate the integral $\int_{\gamma}\frac{z^2+2z}{z^2+4}dz$ It's called Complex Analysis by Stewart and Tall. And I'll take another look at my partial fractions as they are incorrect. Nov17 comment Evaluate the integral $\int_{\gamma}\frac{z^2+2z}{z^2+4}dz$ 'DepeHb': I think we're meant to use Cauchy's Integral Theorem. 'Git Gud': I can't say I am familiar with that definition. Is what I've done so far correct? And what would be the next logical step? Nov17 comment Evaluate the integral $\int_{\gamma}\frac{z^2+2z}{z^2+4}dz$ Would that involve the Cauchy formula? Nov17 asked Evaluate the integral $\int_{\gamma}\frac{z^2+2z}{z^2+4}dz$ Nov8 awarded Tumbleweed Nov1 awarded Editor Nov1 revised Show that $\sum_{n=0}^\infty r^n e^{i n \theta} = \frac{1- r\cos(\theta)+i r \sin(\theta)}{1+r^2-2r\cos(\theta)}$ added 15 characters in body Nov1 accepted Show that $\sum_{n=0}^\infty r^n e^{i n \theta} = \frac{1- r\cos(\theta)+i r \sin(\theta)}{1+r^2-2r\cos(\theta)}$ Nov1 awarded Supporter Nov1 asked Show that $\sum_{n=0}^\infty r^n e^{i n \theta} = \frac{1- r\cos(\theta)+i r \sin(\theta)}{1+r^2-2r\cos(\theta)}$ Feb22 awarded Scholar Feb22 accepted How do I sketch the following norms: Feb22 comment Which of the following functions are norms? Not sure how to check the other two conditions though, would be it sufficient to assume that $A_3(x)$ is positive, i.e. $A_3(x)\geq 0$?