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An expert is a man who has made all the mistakes, which can be made, in a very narrow field. (Niels Bohr)


38m
comment Why the $\nabla f(x)$ in the direction orthogonal to $f(x)$?
@user1620696 I use Inkscape on Windows 7 platform. See the question in tex.stackexchange.com/questions/61274/…
41m
comment Why the $\nabla f(x)$ in the direction orthogonal to $f(x)$?
@user1620696 I generated an image but because of some bug it does not appear in my answer. The image is visible to you?
May
22
comment Solving 3 simultaneous cubic equations
Numerical methods or algebric methods?
May
18
comment Sequence $(a_n)$ s.t $\sum\sqrt{a_na_{n+1}}<\infty$ but $\sum a_n=\infty$
@ThomasAndrews I improviment my answer.
May
15
comment Positive semidefiniteness of a block matrix of positive semidefinite matrices
@ChrisGodsil Well, this is a hint to solve the exercise. It is clear that during the resolution will be issues to be considered.
May
14
comment Positive semidefiniteness of a block matrix of positive semidefinite matrices
@ChrisGodsil, I corrected my mistake. But it is a mistake that does not compromise the idea of proof.Thanks
May
14
comment List videos of interesting courses at the doctoral level.
@DonAntonio, well the videos I listed in my question is just to illustrate my point
May
14
comment List videos of interesting courses at the doctoral level.
@Alex I will not be specific as to the area of investigation. Since I believe that the answers here will be useful for students who are not my area of interest. But I have a preference for courses ergodic theory, Probability, Stochastic Processes, Combinatorics and Statistical Mechanics.
May
14
comment Write a Java program on Palindromes
@Khanat What is the mathematical aspect of your question?
May
14
comment On the no trivial $3$-tuples $(p, q, \alpha) \in \mathbb{N}^3$ such that $\sum_{k = 1}^{n}k^p =\Big [\sum_{k=1}^{n}k^q\Big]^\alpha $.
@CalvinLin simplicity with which you solved the issue made ​​me embarrassed. Very nice your solution.
May
14
comment On the no trivial $3$-tuples $(p, q, \alpha) \in \mathbb{N}^3$ such that $\sum_{k = 1}^{n}k^p =\Big [\sum_{k=1}^{n}k^q\Big]^\alpha $.
I update my question
May
14
comment On the no trivial $3$-tuples $(p, q, \alpha) \in \mathbb{N}^3$ such that $\sum_{k = 1}^{n}k^p =\Big [\sum_{k=1}^{n}k^q\Big]^\alpha $.
@CalvinLin As I said non-trivial cases. And this means that $\alpha\geq 0$.
May
14
comment It is possible to prove that these two collections generate the same topology on $ \mathbb{X} $?
+1 For you. Excelent answer! Very nice notation.
May
7
comment Algorithm to calculate multiple integral.
@Norbert For human.
Apr
14
comment Fast way to calculate determinant for a block matrix
@mezhang Feel free to correct any errors.
Apr
13
comment How do you find the limit of $\frac{4x^4 + 5y^4}{x^2 + y^2}$?
But its construction is very good. The justifications just saw that can be fitted perfectly in the middle of his solution.
Apr
13
comment How do you find the limit of $\frac{4x^4 + 5y^4}{x^2 + y^2}$?
You need to justify some passages to limit their operations here.
Apr
12
comment Matrix Representation of Operators in Infinite Dimensional (Separable) Hilbert Spaces
@julien I corrected my little mistake in my answer.
Apr
11
comment How can the proof of a local theorem on a manifold involving a map with a fixed point and a differential be reduced to the case of $\mathbb{R}^n$?
You could also use the application exponential (and the fact that it identifies not closed geodesics and geodesic lines and identifies with closed circles). But your solution is much simpler.
Apr
11
comment What is the real life use of hyperbola?
@Inceptio Nice answer! (+1)