3,003 reputation
524
bio website
location
age
visits member for 1 year, 6 months
seen 7 hours ago
stats profile views 889

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


May
2
answered Without a calculator, behavior of$ f(x) = e^{(2x-x^2)}$. What does the concavity tell me?
May
2
revised Algorithm to calculate multiple integral.
edited tags
Apr
20
revised How can I prove that $xy\leq x^2+y^2$?
added 8 characters in body
Apr
20
revised Triangle inequality: $\vert\vert a+b\vert^q-\vert a\vert^q\vert\leq \varepsilon\vert a\vert^q+C(\varepsilon)\vert b\vert^q$
edited body
Apr
14
comment Fast way to calculate determinant for a block matrix
@mezhang Feel free to correct any errors.
Apr
14
revised Fast way to calculate determinant for a block matrix
added 6 characters in body
Apr
13
revised $\frac{1}{1-x}$ series expansion
deleted 237 characters in body
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
13
answered $\frac{1}{1-x}$ series expansion
Apr
12
comment Matrix Representation of Operators in Infinite Dimensional (Separable) Hilbert Spaces
@julien I corrected my little mistake in my answer.
Apr
12
revised Matrix Representation of Operators in Infinite Dimensional (Separable) Hilbert Spaces
edited body
Apr
12
revised Is my understanding of the Supremum correct?
added 300 characters in body
Apr
12
answered Is my understanding of the Supremum correct?
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)
Apr
11
revised Matrix Representation of Operators in Infinite Dimensional (Separable) Hilbert Spaces
added 258 characters in body
Apr
11
answered Matrix Representation of Operators in Infinite Dimensional (Separable) Hilbert Spaces
Apr
11
comment Suppose $f(x)$ is such that $\int_{-\infty}^\infty e^{tx} f(x)dx = \arcsin (t - \sqrt{1/2})$
Remember that $\int_{-\infty}^{+\infty}=\lim_{u\to -\infty}\int_{u}^{x}+\lim_{v\to +\infty}\int^{v}_{x}$ for all $x$
Apr
11
answered Suppose $f(x)$ is such that $\int_{-\infty}^\infty e^{tx} f(x)dx = \arcsin (t - \sqrt{1/2})$