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22h
comment To calculate side of the Equilateral triangle
Is that GeoGebra?
Oct
18
comment Which mathematicians have influenced you the most?
"Galois' characteristic" punpunpunny
Oct
18
comment It is easy to show that $S_m=\sum_{n=1}^\infty \frac{n}{2^n + m}$ converges for any natural$\ m$, but what is its value?
It's a graph of $S_m$ vs. $m$.
Oct
18
comment It is easy to show that $S_m=\sum_{n=1}^\infty \frac{n}{2^n + m}$ converges for any natural$\ m$, but what is its value?
@djechlin I agree about that. I'm wondering about how it would be affected if the 2 in the denominator were changed.
Oct
18
comment It is easy to show that $S_m=\sum_{n=1}^\infty \frac{n}{2^n + m}$ converges for any natural$\ m$, but what is its value?
The graph is really, really interesting, though: imgur
Oct
18
comment It is easy to show that $S_m=\sum_{n=1}^\infty \frac{n}{2^n + m}$ converges for any natural$\ m$, but what is its value?
Partial sums? No, I've only done infinite sums (that is, correct to $10^{-8}\%$).
Oct
18
comment It is easy to show that $S_m=\sum_{n=1}^\infty \frac{n}{2^n + m}$ converges for any natural$\ m$, but what is its value?
A quick Python script says that $S_m$ tends to $0$ as $m$ increases, but that is obvious.
Oct
15
revised Random walks: number of crosses between $-\sqrt{x}$ and $\sqrt{x}$
small LaTeX fixes
Oct
15
suggested suggested edit on Random walks: number of crosses between $-\sqrt{x}$ and $\sqrt{x}$
Oct
14
accepted Question regarding an algebraic manipulation in GFology
Oct
14
asked Question regarding an algebraic manipulation in GFology
Oct
13
comment Predicting the outcomes of a subset of chess games correctly
I get what you mean. Thanks! :)
Oct
13
comment Predicting the outcomes of a subset of chess games correctly
Thank you. I think I can explain it to you like this: suppose there are four games, and the outcome is $AADB$ ($A$ wins the first and second games, the third is a draw and the fourth is won by $B$). I can get three correct in these ways: $$\color{red}{B}ADB, \color{red}{D}ADB\tag{first one wrong}$$ $$A\color{red}{B}DB, A\color{red}{D}DB\tag{second one wrong}$$ $$AA\color{red}{A}B, AA\color{red}{B}B\tag{third one wrong}$$ $$AAD\color{red}{A}, AAD\color{red}{D} \tag{fourth one wrong}$$
Oct
13
accepted Predicting the outcomes of a subset of chess games correctly
Oct
13
comment Predicting the outcomes of a subset of chess games correctly
Only one of them will be correct. See this
Oct
13
comment Predicting the outcomes of a subset of chess games correctly
@Masacroso what if I predict some of the games correctly, but not all?
Oct
13
comment Predicting the outcomes of a subset of chess games correctly
@Masacroso to predict a game's outcome correctly means to predict how it will end, i.e. whether $A$ wins, $B$ wins or there is a draw.
Oct
13
revised How do I choose between $\lim_{x\to a} \frac {f(x) - f(a)}{x-a}\ $ and $\lim_{x\to a} \frac{f(a+h)-f(a)}{h}$?
latex fixes, title
Oct
13
comment Combinatorial proof that $\sum \limits_{k=0}^n \binom{2k}{k} \binom{2n-2k}{n-k} (-1)^k = 2^n \binom{n}{n/2}$ when $n$ is even
This is an amazingly . . . sophisticated proof. +1
Oct
13
suggested suggested edit on How do I choose between $\lim_{x\to a} \frac {f(x) - f(a)}{x-a}\ $ and $\lim_{x\to a} \frac{f(a+h)-f(a)}{h}$?