1,707 reputation
612
bio website cse.iitb.ac.in/~aruniyer
location India
age 31
visits member for 2 years, 8 months
seen 9 hours ago

Jan
24
asked Subspace of a Hilbert Space
Jan
6
revised how do you learn trigonometric identities
added 146 characters in body
Jan
6
comment how do you learn trigonometric identities
@GiuseppeNegro Wow, that is neat!
Jan
6
comment how do you learn trigonometric identities
@GiuseppeNegro Wow, I did not know that! That is a very interesting piece of info (+1). Thank you!
Jan
6
answered how do you learn trigonometric identities
Jan
6
comment Minimization to Maximization doubt in SVM
You are correct about both, 1] there are constraints that essentially rule x being 0 and 2] the 1/2 is just to make the derivative pretty.
Dec
27
comment Prove this equation
$x$ in this case is $\lambda m + o(m)$.
Dec
27
comment Prove this equation
As $m$ approaches 0, you can write $\log(1 + x)$ in terms of its taylor expansion.
Dec
27
comment Does linearity decompose down convex sums?
If f is linear, then f is convex as well as concave.
Dec
18
comment Specific inequality
Can you please share references for the Dao Hai Long inequality? Thank you :-).
Dec
15
answered Calculate $\int_0^2 x^2 e^x dx$
Dec
15
comment Calculate $\int_0^2 x^2 e^x dx$
If you call LHS as $I(n)$, then $I(n) = 2^ne^2 - nI(n - 1)$, therefore $I(2) = 4e^2 - 2(2e^2 - I(0)) = 4e^2 - 4e^2 + 2I(0) = 2e^2 - 2$ where $I(0)$ is explicitly evaluated.
Dec
6
comment Show that a function is uniformly continuous
Your definition of Lipschitz is wrong. Lipschitz continuity implies $|f(x) - f(y)| \leq M|x - y|$ for "some" $M > 0$ where $M$ is called the Lipschitz "constant". Thereby, in your proof you "cannot choose" $M = \epsilon/\delta$. However, remember that you can choose $\epsilon$ and $\delta$. Also, Lipschitz continuity implies uniform continuity, which is what you are ending up proving.
Dec
4
revised Minimum of variance
Just cleaning up the post and making it a bit presentable.
Dec
4
suggested approved edit on Minimum of variance
Nov
30
answered How to show that $f\left( \frac{ x + y }{ 2 }\right ) \leq \frac{ f( x ) + f( y ) }{ 2 }$ when $f''(x) \geq 0$.
Nov
28
comment Closest vector problem for orthogonal lattices
ah yes you are right. Apologies, I was truly confused by the wording given there. Sorry about that.
Nov
26
comment Closest vector problem for orthogonal lattices
I thought the second paragraph there was what you asked for (Though, there is a typo in that line which needs to be fixed)?
Nov
26
comment Closest vector problem for orthogonal lattices
en.wikipedia.org/wiki/Lattice_problem#Relationship_with_SVP
Nov
26
comment Moment generating function: why is $\int_{-\infty}^{\infty}\frac{1}{\sqrt{2\pi}}e^\frac{-(z-t)^2}{2} dz = 1$
Yes. $exp(a + b)$ means $e^{a + b}$.