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 Curious
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comment Why was the zeta function introduced?
The closest I've found is Wikipedia's general introduction to Euler's work, specifically on Analysis where it lists he created, invented and/or proved much of what we use today. The answer to your actual question is probably in one or more of Euler's works.
Feb
2
answered Proof verification for $\mathcal{P}(A) \cap \mathcal{P}(B) = \mathcal{P}(A \cap B)$
Dec
15
comment Let $X \subset \mathbb{R}^n$. Suppose that $0 \in X$ and $\|x-y\| = 1$ for $x,y \in X, x \neq y$. Then the maximum number of elements in $X$ is $n+1$.
I don't know the details well enough, but can a direct induction proof work? It definitely describes the rigidity of there being only one extra point each time to me (because the other possible point is going to be more than one unit away from the first extra one).
Dec
1
comment Confusion about differentials
It's not very relevant here, but remember your second formula should be $\int \mathrm{d}y = \int f'(x) \mathrm{d}x + C$.
Dec
1
comment How do I explain 2 to the power of zero equals 1 to a child
I think there are better ways for convincing someone that $2^0=1$, but I think your argument works well for $0^0=1$ :-)
Nov
3
comment Is an arbitrary number of the form xyzxyz divisible by 7, 11, 13?
@hkmather802 I assume you've used $\overline{ab}$ to mean $10a+b$, but in which case all $xyz$ should really be $\overline{xyz}$.
Oct
13
comment $3\times3\times3$ hypermatrix multiplication
Note that currently you're diagram simply describes 2-d matrix multiplication 3 times "deep". I.e. ignore all but the front face and you see normal 2-d matrix multiplication, and then you can see it again in the middle slice and finally in the back face. You need to specify what you want the result to be or do; i.e how it is to behave, and/or at least mention how much of the final result should vary when varying each of the points in the multiplicands.
Oct
4
comment Probability of winning in a die rolling game with six players
And, clearly, the way to make the game fair is to roll the die first to choose the first player :-)
Sep
29
revised How can I introduce complex numbers to precalculus students?
The solution is non-complex, as WA shows; it's how to get there I've forgotten.
Sep
10
reviewed Reviewed Modular arithmetic with different moduli?
Aug
28
revised Finding triplets $(a,b,c)$ such that $\sqrt{abc}\in\mathbb N$ divides $(a-1)(b-1)(c-1)$
Remove spurious *; normalise the colons just to change at least 6 characters.
Aug
28
suggested approved edit on Finding triplets $(a,b,c)$ such that $\sqrt{abc}\in\mathbb N$ divides $(a-1)(b-1)(c-1)$
Aug
11
comment Approximating $\pi$ by an expression of the form $\sqrt{\sqrt{ \cdots \sqrt{ n!! \cdots !}}}$
@wltrup Your tongue in cheek answer uses 4 0s and 3 1s.
Jul
28
comment 'Obvious' theorems that are actually false
If you consider a finite number of sets $V_n$, and take a limit it does seem plausible, not quite obviously false.
Jul
9
revised How to prove that $\frac{(5m)!(5n)!}{(m!)(n!)(3m+n)!(3n+m)!}$ is a natural number?
Another idea; typo
Jul
9
revised How to prove that $\frac{(5m)!(5n)!}{(m!)(n!)(3m+n)!(3n+m)!}$ is a natural number?
Another idea
Jun
29
reviewed No Action Needed Why is zero the only infinitesimal real number?
Jun
29
revised How to read this in English?
especially
Jun
29
accepted Countably infinite and monotonically countably infinite
Jun
23
awarded  Curious