An upper bound for Summative Fission numbers

This is a nice question. The fission diagram forms a tree, and the leaves of the tree must sum to $n$. By noting that $3$ is the smallest number that can be split, we see that there can be at most $n/3$ ones, and hence there are at most $\frac{2}{3}n$ leaves. Each vertex that is not the base point or a leaf must have degree at least $3$, that is each node that is not a leaf must split into at least two more nodes, so we can bound the total number of nodes by $$F(n)\leq \frac{2n}{3}+\frac{2n}{6}+\frac{2n}{12}+\frac{2n}{24}+\cdots =\frac{4n}{3}$$ which gives a linear upper bound on the number of nodes.

Upper bounds for the number of intermediate subgroups

How to find $I=\int_{-4}^4\int_{-3}^3 \int_{-2}^2 \int_{-1}^1 \frac{x_1-x_2+x_3{-}x_4}{x_1+x_2+x_3+x_4} \, dx_1 \, dx_2 \, dx_3 \, dx_4$

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For $T\in \mathcal L(V)$, we have $\text{adj}(T)T=(\det T)I$.

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What is the difference between complex differentiable and holomorphic functions at a point?

Differential geometry: restriction of differentiable map to regular surface is differentiable

Geodesics of Sasaki metric

A sequence that converges weakly but not in the Cesàro sense

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Solution of an integral with strange imprecision of gamma functions