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 Apr 27 awarded Popular Question Apr 4 answered Prove that $p(x)$ is a irreducible in $A[x]$. Apr 4 answered Finding injection from $[0,1]$ to $P(\mathbb{N})$ Apr 3 awarded Popular Question Mar 31 comment Quantum Mechanics Project Ideas!!! Not an answer, but this may give you some ideas? Mar 25 answered Uniqueness of limiting functions Mar 25 comment Uniqueness of limiting functions Are all of these functions continuous? If not the modification of $f$ at a single value will suffice to demonstate the lack of uniqueness. Mar 25 answered Find the third eigen vector. Mar 25 answered Discrete Valuation Rings with property that $v(x+y)=\min(v(x),v(y))$ Mar 25 answered Classification of $O(2)$-bundles in terms of characteristic classes. Mar 24 comment Tensor product of operators Something is wrong with your parenthesizes, at points we are considering the tensor of vectors with operators. Do you want to consider $\langle \Phi| (\sigma\otimes I)(\sigma \otimes I)|\Phi\rangle$? Or maybe I am a bit confused. Mar 24 comment Multiple integral equality Hint: Approximate twice by Riemann sums, and interchange the sums by using standard properties, and take limits. Mar 24 answered Let F be a finite field of characteristic $p$. Show $f(a) = a^p$ is a ring homomorphism, injective, and surjective Mar 24 comment Quotients by simply connected closed subgroups This statement is true. It follows from the fact that $H\to G\to G/H$ is a fiber sequence and applying the Puppe exact sequence. Mar 24 comment Analysis of convergence of two series, when the sum of the two series converges. Write $y_n=x_n+y_n-x_n$. Then this reduces to the statement that if $\sum_i a_i$ and $\sum_i b_i$ converge, $\sum_i a_i+b_i$ converges. Mar 21 reviewed Approve What does this (double absolute value like) notation mean? Mar 19 comment Is $\oint_S F(x) \,dr$ (line integral) a linear operator? Yes, this is true. Proving it is simple, it is just the corresponding facts for Riemann Sums composing the integral, and then applying limits. Feb 10 accepted Can the real part of an entire function be bounded above by a polynomial? Feb 9 asked Do we have for $\lim_{r\to \infty}\frac{1}{rlog(r)}(\int_0^{2\pi}u(re^{i\theta})d\theta)$ exists for $u$ subharmonic? Feb 9 revised Can the real part of an entire function be bounded above by a polynomial? added 34 characters in body