Tootfinder

I can't help thinking that there's some sort of "Sexual Dynamo Georg" who's throwing off the numbers somewhere
https://worldpopulationreview.com/country-rankings/average-number-of-sexual-partners-by-country

Numbers you need to know as you prep for draft day https://www.espn.com/fantasy/football/story/_/id/45785337/2025-fantasy-football-draft-stats-numbers-trends

On Pell numbers representable as product of two generalized Fibonacci numbers
Jhon J. Bravo, Pranabesh Das, Jose L. Herrera, John C. Saunders
https://arxiv.org/abs/2507.13674

On Pell numbers representable as product of two generalized Fibonacci numbers
A generalization of the well-known Fibonacci sequence is the $k$-Fibonacci sequence with some fixed integer $k\ge 2$. The first $k$ terms of this sequence are $0,0, \ldots, 1$, and each term afterwards is the sum of the preceding $k$ terms. In this paper, we find all Pell numbers that can be written as a product of two $k$-Fibonacci numbers. The proof of our main theorem uses lower bounds for linear forms in logarithms, properties of continued fractions, and a variation of a result of Dujella a…

Dramatic increase in number of Russian 'shadow ships' in Irish-controlled waters (Conor Gallagher/The Irish Times)
https://www.irishtimes.com/ireland/2025/07/21/number-of-russian-shadow-ships-in-irish-controlled-waters-rises-dramatically/
http://www.memeorandum.com/250721/p55#a250721p55

"Ideally, that's what you've got in an acting career is an equal number of dramas and comedies and an equal number of small films and big films."
-Jason Bateman
#acting #coaching #inspiration

Asset control and power in America is centered among old people with lots of assets.
And they associate protecting the stock market with protecting America.
The “number go up” rule is not a story of greed or economics,
it’s a story of how we make decisions as a society.
Take the pandemic.
Some of you might remember that right before Covid hit in force, I was freaking out. I pay attention to China, and it wasn’t hard to imagine that a contagious disease would…

The Number Go Up Rule: Why America Refuses to Fix Anything
In the Booming Twenties, all decision-making is about protecting the value of financial assets held by older people. Therefore, the number must go up. And nothing else matters.

💙 Merci. Grâce Š vous, nous avons atteint notre objectif.
En quelques mois vous avez été nombreuses et nombreux Š répondre Š notre appel Š soutien.

Approximation theorems for classifying stacks over number fields
Ajneet Dhillon
https://arxiv.org/abs/2507.13900 https://arxiv.org/pd…

Approximation theorems for classifying stacks over number fields
Approximation theorems for algebraic stacks over a number field $k$ are studied in this article. For G a connected linear algebraic group over a number field we prove strong approximation with Brauer-Manin obstruction for the classifying stack $BG$. This result answers a very concrete question, given $G$-torsors $P_v$ over $k_v$, where $v$ ranges over a finite number of places, when can you approximate the $P_v$ by a $G$-torsor $P$ defined over $k$.

Linear relations of four conjugates of an algebraic number
\v{Z}. Baron\.enas, P. Drungilas, J. Jankauskas
https://arxiv.org/abs/2507.13831 https://…

Linear relations of four conjugates of an algebraic number
We characterize all algebraic numbers $α$ of degree $d\in\{4,5,6,7\}$ for which there exist four distinct algebraic conjugates $α_1$, $α_2$, $α_3$, $α_4$ of $α$ satisfying the relation $α_{1}+α_{2}=α_{3}+α_{4}$. In particular, we prove that an algebraic number $α$ of degree 6 satisfies this relation with $α_{1}+α_{2}\notin\mathbb{Q}$ if and only if $α$ is the sum of a quadratic and a cubic algebraic number. Moreover, we describe all possible Galois groups of the normal closure of …

No Nowhere Continuous Function Maps all Non-Normal Numbers to Normal Numbers
Chokri Manai
https://arxiv.org/abs/2506.15422 https://ar…

No Nowhere Continuous Function Maps all Non-Normal Numbers to Normal Numbers
In this work, we consider the set of non-normal numbers $\mathcal{N}^c$ and ask if there is a non-empty open interval $I$ and a nowhere constant continuous function $ϕ: I \to \rr$ which maps all non-normal numbers to normal numbers, i.e., $φ(I \cap \mathcal{N}^c) \subset \mathcal{N}.$ We answer this question negatively. This result can be seen as a further manifestation of the richness of the null set $\mathcal{N}^c$. Surprisingly, the "bigger" set of normal numbers $\mathcal{N}$ does not sha…