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Apr
21
comment Evaluating $\int\frac{x^4+1}{x^6+1}dx$
Also factorize $x^4 - x^2 + 1 = (x^2 - \sqrt{3} x + 1)(x^2 + \sqrt{3} x + 1)$.
Apr
21
answered Is this equality correct?
Apr
21
answered Find a sequence of measurable functions defined on a measurable set $E$ that converges everywhere on $E$, but not almost uniformly on $E$.
Apr
21
comment Why is $\Delta u$ bounded, if $u\in C^2(\overline{\Omega})$ and $\Omega\subseteq\mathbb{R}^n$ is a bounded domain?
Yes, $u$ is also bounded.
Apr
21
answered Why is $\Delta u$ bounded, if $u\in C^2(\overline{\Omega})$ and $\Omega\subseteq\mathbb{R}^n$ is a bounded domain?
Apr
21
answered Contest Problem
Apr
21
comment Computability: is there an alternative method to decide this language?
Yes, I think you are misunderstanding. The numbers of symbols between the 0, 0 and 1 don't have to be the same. 0#0##1, for example, is acceptable.
Apr
21
comment Finding integer solutions of $m^2-n^5 = m - n$
As the authors mention, the problem was listed as an "open problem" in math.leidenuniv.nl/~evertse/07-workshop-problems.pdf . That's a pretty good indication that there is no easy approach.
Apr
21
awarded  Nice Answer
Apr
21
answered Computability: is there an alternative method to decide this language?
Apr
21
answered Solving a system of ODEs with variable in matrix A
Apr
21
answered Representation of a matrix as product of unitary matrices and diagonal matrix
Apr
21
comment Representation of a matrix as product of unitary matrices and diagonal matrix
Presumably Ram is using a version of "positive semidefinite" that does not require a symmetric (real) or hermitian (complex) matrix. See en.wikipedia.org/wiki/Positive-definite_matrix
Apr
21
answered How can I prove $\phi(m)*\phi(n) = \phi(lcm(m,n))* \phi(\gcd(m,n))$ where $\phi$ is eulers $\phi$ function?
Apr
21
revised Magic square of 5
Entered the matrix in LaTeX
Apr
21
answered Show that f(x) is convex
Apr
20
answered Finite field, how to satisfy equation?
Apr
20
answered Linear Algebra-invariant subspaces
Apr
20
comment Linear Algebra-invariant subspaces
You must assume your vector space, or at least the subspace, is finite-dimensional: there are examples with infinite-dimensional invariant subspaces.
Apr
20
comment Linear Algebra-invariant subspaces
Presumably what is meant is $T \in L(V)$.