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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?
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