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 Mar 14 comment Proving The Average Value of a Function with Infinite Length @user48672: Yes it is. The OP said "Prove that ... if this limit exists". Feb 25 awarded Nice Answer Feb 9 comment Does $AB=(AB)^{\ast}$ and $A=A^{\ast}$ implies $B=B^{\ast}$? Why don't you quote the passage from the book? Jan 24 answered Example 9.18 from PMA Rudin Jan 20 comment Flipping $n$ coins in a circle until they are all gone I ran a simulation for $n=5$ with 10 million experiments and I'm getting probabilities of $0.1446$, $0.1630$, $0.1862$, $0.2168$ and $0.2894$ for $k=1,\dots,5$, which matches your exact numbers. Here's a graph for $n=100$, 1 million experiments: imgur.com/OVBjL6U Jan 20 revised What is the name of this theorem from Apostol's Mathematical Analysis? added 1 character in body Jan 20 answered Invariance properties of transformations Jan 20 comment Inverses of a matrix Nephente: $G$ is not a subgroup of $GL(2,\mathbb{R})$, so there is no need for the usual identity matrix to be in $G$. Jan 17 comment Inequality in infinite Hilbert space $(|x|+|y|)^2$ is not equal to $|x|^2+2\langle x,y \rangle+|y|^2$. Jan 4 answered If a measure is semifinite, then there are sets of arbitrarily large but finite measure Dec 29 reviewed Approve Periodic orbits on centre manifold Dec 29 reviewed Approve Determining the basis of a span of vectors for all values of $a$. Dec 29 reviewed Approve Differential Equation Special Case Dec 29 reviewed Approve Derivative of nuclear norm Dec 21 accepted Proof of an inequality that seems intuitive Dec 20 answered Proof of an inequality that seems intuitive Dec 20 asked Proof of an inequality that seems intuitive Nov 9 awarded Announcer Jul 16 awarded Yearling Mar 18 reviewed Approve is there a way to split this sum into 2 parts