# All Questions

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### Negative pinching and Ricci flow

Let $\varepsilon>0$ be sufficiently small. Denote by $\mathrm{Rm}$ and $\mathrm{R}$ the curvature operator and the scalar curvature. Consider the following pinching condition ...
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### Solving Multivariate Recurrence Relations (with a Computer)

I have two recurrence relations that I am trying to solve. I would be interested in knowing if a traditional solution is obtainable, but am also interested in learning more about computer-assisted ...
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### Question about proof technique [on hold]

If I can prove that the following expression is equal to $1$ for all $r>1$,  \frac{(2^r-1)(3^r\bmod{2^r})}{4^r-2^r}+\frac{3^r-2^r}{4^r-2^r}+\frac{ 2^r(2^r - 1 - (3^r - 1)\bmod {(2^r - ...
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### English translation of Gauss' “Principia generalia theoriae figurae fluidorum in statu aequilibri”

I have been unable to locate an English translation of Gauss' work, "Principia generalia theoriae figurae fluidorum in statu aequilibri". A German translation exists (PDF), but my German is not quite ...
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### Three variable equation using only natural numbers [on hold]

I am a high school student that has been working on amateur mathematics for about a year now. Lately, I have been encountering a particular type of equation that I have not yet solved. If I could ...
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### Topological Irreducible graphs for the projective plane

I learned that there are 103 topological irreducible graphs for the projective plane but I am unable to find examples of said graphs. I am unsure of how to find them on my own and I would like to see ...
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### Solve a linear equation with many variables using only 1 and -1

For a program I am writing, I would find it useful to find the least possible positive solution to a linear equation, using only -1 and 1 for roots. For example... ...
Given a twin prime $p_n$, $p_{n+2}$ their average $s=p_n+1$ divided by 6 or 30 (for the case that the last digits of the twin primes ends up with 9 and 1) is often another prime. Thus, to get a twin ...