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For questions related to teaching mathematics. For questions in Mathematics Education as a scientific discipline there is also the tag mathematics-education. Note you may also ask your question on http://matheducators.stackexchange.com/.
6
votes
Elementary applications of linear algebra over finite fields
The game of Projective Set
is tantamount to finding a linear dependence on
$7$ (distinct, nonzero) vectors in $\mathbb{F}_2^6$.
Linear algebra over $\mathbb{F}_2$ shows that there's always a solution, …
1
vote
Applications of isotropic quadratic forms
One standard construction of $L^2$ is to start from a space of
square-integrable functions, which is only positive semidefinite
(and thus contains many isotropic vectors), and form the quotient by
the …
37
votes
Accepted
The function $\sum_{0}^{\infty} x^n/n^n$
[Edited to outline the end of the argument that $f(-M) \rightarrow 0$
(and to correct a few typos etc. while I'm at it)]
Yes, $F(x) \rightarrow 0$ from below as $x \rightarrow -\infty$.
The convergen …