1,546 reputation
411
bio website cse.iitb.ac.in/~aruniyer
location India
age 30
visits member for 2 years, 4 months
seen yesterday

Aug
25
revised solving equations by the method of elimination
fixing equations and some text
Aug
25
suggested suggested edit on solving equations by the method of elimination
Aug
24
comment Metric spaces and openness
a] math.stackexchange.com/questions/203728/… , b] Given any set X, consider all open sets in the metric space that contain X (call them $G_\alpha, \alpha \in A$ where A is some index set) and let $Y = \cap_{\alpha \in A} G_\alpha$. Show that $Y = X$.
Aug
20
suggested suggested edit on Ratio problem to find the woman weekly salary
Aug
15
revised Relationship between lagrange multiplier and constraint
added 1 characters in body
Aug
15
comment Inequality $(1+a_2)^{2}(1+a_3)^{3}… (1+a_n)^{n}>n^{n}$
Your title and description look different.
Aug
15
revised Relationship between lagrange multiplier and constraint
added 3 characters in body
Aug
15
answered Relationship between lagrange multiplier and constraint
Aug
14
comment What is the meaning of $E[g(x)]=Pr(|x| >\varepsilon)E[g(x)|g(x) > g(\varepsilon)]+Pr(g(x) \leq\varepsilon)E[g(x)|g(x)\leq g(\varepsilon)]$
Where did you come across this? Why is there a $|x|$ in there?
Aug
10
comment If $\cos^4 \theta −\sin^4 \theta = x$. Find $\cos^6 \theta − \sin^6 \theta $ in terms of $x$.
+1 This is very clean.
Aug
10
comment Finding the $n^{\text{th}}$ term of $\frac{1}{4}+\frac{1\cdot 3}{4\cdot 6}+\frac{1\cdot 3\cdot 5}{4\cdot 6\cdot 8}+\ldots$
Yes, that is a lot more cleaner. :-)
Aug
10
comment Probability of $P(A \cup B \cup C)$.
@user2213654 subtract 1 from both sides, what do you get?
Aug
10
comment Finding the $n^{\text{th}}$ term of $\frac{1}{4}+\frac{1\cdot 3}{4\cdot 6}+\frac{1\cdot 3\cdot 5}{4\cdot 6\cdot 8}+\ldots$
Consider the numerator: $1\times3\times5\times7 = \frac{1\times2\times3\times4\times5\times6\times7}{2\times4\times6} = \frac{1\times2\times3\times4\times5\times6\times7}{2^3(1\times2\times3)} = \frac{7!}{2^3 3!}$. Can you generalize this? Can you do something similar for the denominator?
Aug
10
answered Probability of $P(A \cup B \cup C)$.
Aug
10
comment Why is there never a proof that extending the reals to the complex numbers will not cause contradictions?
:-) You have asked some really nice questions here. I am sure someone qualified will give an awesome answer soon enough. Regardless, you should take this chance and read about the formal definition of complex numbers and surreal numbers. Have fun! :-)
Aug
5
revised Prove that $e^{\sum 1/p_k^2} > \pi/2$
added 216 characters in body
Aug
5
comment Prove that $e^{\sum 1/p_k^2} > \pi/2$
@TheoJohnson-Freyd I was bounding the series $\sum_{k = 1}^{\infty} \frac{\mu(k)}{k} \ln(\zeta(2k))$ below with just the first term in the series. The first term gives $\ln(\pi^2/6)$ which as observed in the comments is slightly larger the final sum and hence the bound as used clearly isn't true. Maybe there is a way to salvage it yet by considering few more terms from the series and showing that it does bound the series below, but my math-fu skill are lacking for that :-).
Aug
4
revised show that $\int_{0}^{\infty} \frac {\sin^3(x)}{x^3}dx=\frac{3\pi}{8}$
Minor typo in the final result of the second technique
Aug
4
comment show that $\int_{0}^{\infty} \frac {\sin^3(x)}{x^3}dx=\frac{3\pi}{8}$
(+1) The second technique is amazing and makes the whole integral brilliantly simple!
Aug
4
suggested suggested edit on show that $\int_{0}^{\infty} \frac {\sin^3(x)}{x^3}dx=\frac{3\pi}{8}$