Tootfinder

Wenn Männer mit der Mentalität von Fünfjährigen anderen die Mentalität von Elfjährigen vorwerfen -
ist das in erster Linie eine Beleidigung für alle Fünf- und Elfjährigen.
https://www.spiegel.de/wirtschaft/elon-mus

„I wasn’t allowed to speak or offer legal advice to M in the courtroom, so without looking down for too long, I wrote in my notebook:
Ils vont essayer de terminer ton case—tu vas dire NON. Tu as besoin de temps pour trouver un avocat.“
https://www.nplusonemag.com/online-only/on

Schmatz, mampf. Hier kann man gut sehen, dass #Bestäuber nicht immer nur #Bienen und #Schwebfliegen sind, und dass

Trump mobilizes Marines and more National Guard troops for duty in LA (Tom Bowman/NPR)
https://www.npr.org/2025/06/09/g-s1-71640/trump-mobilizes-marines-for-duty-in-los-angeles
http://www.memeorandum.com/250609/p161#a250609p161

This https://arxiv.org/abs/2506.01870 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Various irrational series involving binomial coefficients
Motivated by Galois theory, we propose some new irrational series of Ramanujan's type or Zeilberger's type. For example, we conjecture that \begin{equation*}\sum_{k=1}^\infty\frac{\binom{2k}k^2\binom{4k}{2k}}{(84-32\sqrt6)^{4k}} \left(280k+5\sqrt6+26\right)=\frac3π(2\sqrt3+33\sqrt2) \end{equation*} and \begin{align*}&\sum_{k=1}^\infty\frac{(27(37102-15147\sqrt6))^k}{k^3\binom{2k}k^2\binom{3k}k} \left(9k(11\sqrt6+51)-2(19\sqrt6+54)\right) \\&\qquad=\frac{5625}2\left(\sqrt6 L_{-24}(2)-3G\r…

The overflow in the Katona Theorem
Peter Frankl, Jian Wang
https://arxiv.org/abs/2506.05704 https://arxiv.org/pdf/2506.05704

The overflow in the Katona Theorem
Let $n>2r>0$ be integers. We consider families $\mathcal{F}$ of subsets of an $n$-element set, in which the union of any two members has size at most $2r$. One of our results states that for $n\geq 6r$ the number of members of size exceeding $r$ in $\mathcal{F}$ is at most $\binom{n-2}{r-1}$. Another result shows that for $n>3.5r$ the number of sets of size at least $r$ is at most $\binom{n}{r}$. Both bounds are best possible and the latter sharpens the classical Katona Theorem. Similar results…

'Paid insurrectionists': Amid unrest in L.A, Trump returns to an unsettling old favorite (Steve Benen/MSNBC)
https://www.msnbc.com/rachel-maddow-show/maddowblog/paid-insurrectionists-unrest-l-trump-returns-unsettling-old-favorite-rcna212142
http://www.memeorandum.com/250610/p99#a250610p99

This https://arxiv.org/abs/2506.01291 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The Hasse principle for homogeneous polynomials with random coefficients over thin sets II
Let $d$ and $n$ be natural numbers. Let $ν_{d,n}: \mathbb{R}^n\rightarrow \mathbb{R}^{N}$ denote the Veronese embedding with $N=N_{n,d}:=\binom{n+d-1}{d}$, defined by listing all the monomials of degree $d$ in $n$ variables using the lexicographical ordering. Let $\langle \boldsymbol{a}, ν_{d,n}(\boldsymbol{x})\rangle\in \mathbb{Z}[\boldsymbol{x}]$ be a homogeneous polynomial in $n$ variables of degree $d$ with integer coefficients $\boldsymbol{a}$, where $\langle\cdot,\cdot\rangle$ denotes t…

A construction that preserves the configuration of a matroid, with applications to lattice path matroids
Joseph E. Bonin, Anna de Mier
https://arxiv.org/abs/2506.06109

A construction that preserves the configuration of a matroid, with applications to lattice path matroids
The configuration of a matroid $M$ is the abstract lattice of cyclic flats (flats that are unions of circuits) where we record the size and rank of each cyclic flat, but not the set. One can compute the Tutte polynomial of $M$, and stronger invariants (notably, the $\mathcal{G}$-invariant), from the configuration. Given a matroid $M$ in which certain pairs of cyclic flats are non-modular, we show how to produce a matroid that is not isomorphic to $M$ but has the same configuration as $M$. We sh…

Pointing to protesters, but not ICE agents, Trump demands arrests of those in masks (Steve Benen/MSNBC)
https://www.msnbc.com/rachel-maddow-show/maddowblog/pointing-protesters-not-ice-agents-trump-demands-arrests-masks-rcna211787
http://www.memeorandum.com/250609/p60#a250609p60