Tagging - 2023-09-06

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Martin Sleziak

02:26

266

Q: Conjectures that have been disproved with extremely large counterexamples?

I just came back from my Number Theory course, and during the lecture there was mention of the Collatz Conjecture. I'm sure that everyone here is familiar with it; it describes an operation on a natural number – $n/2$ if it is even, $3n+1$ if it is odd. The conjecture states that if this operat...

Q: Statements that seem true for many values of n but they are false

Not much time ago I saw an Instagram post about something called Borwein Integral, which is certainly such a "monster". This integral has the following form: $$\int_0^{\infty}\frac{\sin{x}}{x}\cdots\frac{\sin{\frac{x}{100n+1}}}{\frac{x}{100n+1}}$$ The most surprising thing about this result is t...

induction conjectures

deleted-tag The tag tempered-distributions is gone. math.stackexchange.com/posts/4759760/revisions

Q: Dividing a tempered distribution by a polynomial

Let $p=p(x_1,...,x_N)$ be a non-zero polynomial in $N$ variables (real coefficients). Let $\mathscr{S}$ be the Schwartz space on $\mathbb{R}^N$ and let $\mathscr{S}'$ be its topological dual (i.e. the space of tempered distributions). I know that the map $\mathscr{S}'\to \mathscr{S}', \ \ \ T\map...

functional-analysis distribution-theory schwartz-space

It looks like you have edited this post a couple of times to include the tag ito-integrals. This tag doesn't already exist on the site, and it is generally considered bad form to create a new tag without consulting the community, first. New tags should be proposed in the tag management thread. For further discussion, chat.stackexchange.com/rooms/3740/tagging . — Xander Henderson ♦ 3 hours ago

@XanderHenderson That tag was ito-calculus and not ito-integrals. It is a minor thing - but perhaps you want to edit that comment to fix the typo.

3 hours later…

Martin Sleziak

05:19

deleted-tag The tags topology, ito-calculus and law-of-small-numbers are gone.

8 hours later…

Martin Sleziak

13:37

new-tag A new tag graphic-matroids.

Q: How to show that $M_2[A]$ is graphic but $M_3[A]$ is not?

Here is the question I am trying to solve letter $(b)$ in it: Let $A$ be the matrix $\begin{pmatrix} 1 & 0 & 0 & 1 & 1 & 0\\ 0 & 1 & 0 & 1 & 0 & 1\\ 0 & 0 & 1 & 0 & 1 & 1 \end{pmatrix}$ For $q$ in $\{2,3\},$ let $M_q[A]$ be the vector matroid of $A$ when $A$ is viewed over $GF(q),$ the field of $...