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Jul
27
comment computing maclaurin series for $(\sin x)^3$ , order $3$
@debi: I would say that your method is simpler to compute than lab's, because you only need the first term of the expansion.
Jul
19
comment Card Game Bridge Probability
According to my calculations, $\frac{13^4}{\binom{52}{4}}$ is equal to $\dfrac{2197}{20825}$.
Jul
19
comment Card Game Bridge Probability
@trueblueanil: This answer agrees with yours, doesn't it? (Athough yours is easier to follow.)
Jul
17
awarded  real-analysis
Jul
11
comment Given $n_o \in \mathbb N$ , are there only finitely many rationals in the interval , such that denominator in reduced form does not exceed $n_o$?
According to the timestamps, you thought about Daniel's comment for at most two minutes before admitting defeat. I suggest that you think about it for an hour or so before asking for more help.
Jul
11
comment Derivative that doesn't care about countable subsets?
Your definition looks perfectly reasonable to me. Not cheating at all.
Jul
9
comment Computing as many digits as possible of $\sqrt{2}$ with a pen and a paper in 5 minutes
Umm...so we're agreed, right?
Jul
9
comment Computing as many digits as possible of $\sqrt{2}$ with a pen and a paper in 5 minutes
Actually it doesn't even depend on the accuracy of the intermediate steps. You only need to compute the $n$th step to the accuracy of the $n$th step itself, not to the desired accuracy of the final step.
Jul
7
comment Given $100$ coplanar points, no $3$ collinear, then at most $70$ percent triangles formed using these points are acute-angled
We were given this question as part of the coaching for IMO 1978 (I failed to make the team). I managed to get it down to about 67%. I will post more about this when I have the time.
Jul
6
comment Pythagorean theorem expressed without roots in an old Tamilian (Indian) statement
I wish my comments hadn't been deleted by some anonymous moderator. They made all these obvious points far more pithily.
Jul
6
comment The solutions to $x^m \equiv 1 \bmod p$ will all be solutions to $x^{mn} \equiv 1 \bmod p$ for any $n$.
If $x^m\equiv 1$ mod $p$, then $x^{mn} \equiv 1^n \equiv 1$ mod $p$.
Jul
6
comment Properties that are true for finite sets but are (non-trivially) false for infinite sets
Your second example is flawed: a polynomial is not determined by its value at $0$ if that value is itself $0$.
Jul
2
comment GCD of many numbers divisible by another number
It is impossible to answer this question without knowing something about the $b_i$. (Also, the word approach is inappropriate for a sequence of integers; either the GCD is eventually equal to $a$ for large enough $z$, or it isn't. But we can't tell which, without more information.)
Jul
1
comment To solve $n(n+1)(n+2)=6m^3$ in positive integers $m,n$
Very nice! I was half-way there myself, but I didn't know that result of Bennett's.
Jul
1
comment Prove that $f'(c ) = 0$
This is the Alternative Intermediate Value Theorem: If $a\le x\le b$, and $a=b$, then $x=a$. Furthermore, $x=b$.
Jul
1
comment Mixed Strategy Nash Equilibrium of Rock Paper Scissors with 3 players?
With these payoff matrices, two players can clean out the third player simply by arranging to always play differently from each other. The third player will break even one-third of the time,lose $1$ one-third of the time, and gain $0.5$ one-third of the time.
Jul
1
comment Write all elements of A.A = {$x|x^2<x<10$,x is a whole number}. Answer: A ={$x|x^2+1=0$}.Explain like i'm five.
@molarmass: I suspect it was a multiple-choice question: Which of these sets is equal to $A$?
Jul
1
answered Probability of two strings being equal
Jun
30
comment After switching a lamp on and off infinitely many times in one minute, is it on or off?
An excellent answer.
Jun
30
comment Finding the remainder while dividing negative numbers?
It's "remainder", Ofir. "Reminder" means "Erinnerung".