## How to sketch image under function on given set

For the function, $f(r,theta)= (rcostheta , rsintheta )$, I want to sketch the image under $f$ of the set $S=[1,2]$ x$ [0,pi]$ My first step was to find the images of $f$ along the borders of …

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Let $A : D(A) subset H rightarrow H$ be unbounded and $B$ be a bounded operator, both of them are self-adjoint, then $(AB)^* = B^*A^*$ and $(BA)^* = A^*B^*$, right? I just wanted to be sure that …

I crawled some blogs for my project and extracted a few features, like length of the document, in links, out links. Each of these blogs talks about some specific subject and there can be numerous …