1,431 reputation
310
bio website cse.iitb.ac.in/~aruniyer
location India
age 30
visits member for 1 year, 11 months
seen 5 hours ago

Jul
7
answered Please help me for a substitution method to evaluate $\int\frac{dx}{(x+a)^2(x+b)^2}$
Jun
30
answered Introductory (online) texts on Bayesian Network.
Jun
29
revised How can I prove that $n^7 - n$ is divisible by $42$ for any integer $n$?
added 585 characters in body
Jun
29
comment How can I prove that $n^7 - n$ is divisible by $42$ for any integer $n$?
Good catch!! :P
Jun
29
answered How can I prove that $n^7 - n$ is divisible by $42$ for any integer $n$?
Jun
25
comment Integration Example
Above I demonstrate how you nail a toothpick with a big hammer :-D
Jun
25
answered Integration Example
Jun
24
comment An inequality : is it true if it is then how to prove it?
FYI, this is known as Mahler's Inequality
Jun
21
comment A problem in combinatorics
1. Subjects are distinguishable from each other, therefore you need to used ordered counts instead of unordered counts. 2. Once you assign subjects to the third student, you need to also figure out, in how many ways can the remaining subjects be distributed amongst the other three.
Jun
20
comment Mutual information, handling start and end
Usually one adds additional start end tokens. So, in your example, if "_" does not appear in your vocabulary, one can use that to indicate start end token; thereby your data then would look like this "_ a b a c _" and your bi-grams would look like "_ a", "a b", ..., "c _". Note, if you are working with n-grams, you will have to add n - 1 "_" at the start and at the end. For uni-grams, one need not add the additional start end tokens.
Jun
20
answered Find $n$ in $n \log_2 n = c$
Jun
20
answered Calculate: $\sum_{k=0}^{n-2} 2^{k} \tan \left(\frac{\pi}{2^{n-k}}\right)$
Jun
19
answered What is a good book to study linear algebra?
Jun
18
comment Prove that the function is constant
Approach : Over the set $M_c$, show that the partial derivative w.r.t $x_1$ is zero. Hint : Find a relationship between partial derivative w.r.t $x_1$ and partial derivative w.r.t $x_2$ that is satisfied over the set $M_c$.
Jun
18
revised $\int_{0}^{\infty} \frac{e^{-x} \sin(x)}{x} dx$ Evaluate Integral
edited body
Jun
18
answered $\int_{0}^{\infty} \frac{e^{-x} \sin(x)}{x} dx$ Evaluate Integral
Jun
17
comment Squeeze Theorem Help
Squeeze theorem is a big hint. Since you know you have to apply squeeze theorem, that means you need to find upper and lower bound for your function, for which you are trying to find the limit. Now, look at your function and figure out whether you can give upper and lower bounds for it.
Jun
17
comment Confusion regarding convexity of a function
Again, consider a usual 2D plane. Take two points x = [1 1] and v = [2 2]. Now, consider x + tv and vary the value of t, what do you see?
Jun
17
comment Confusion regarding convexity of a function
Ok, consider a well curve in 3D. Now, its domain is a 2D plane. Now, draw a line on this 2D domain and look at the function values only along this line. That will be a curve (It probably will look like a vertical parabola). Now, the theorem is if you can show that for all such lines in the domain, if the resulting curve of f is convex, then the entire f is convex and vice versa.
Jun
17
comment Confusion regarding convexity of a function
>> Does it mean that we will select an arbitrary line ## Yes. >> But I am not sure how g(t) is a line. It is just a function of t. But it could be non linear as well. So how come it is a line? ## g(t) isn't a line, x + tv is the line.