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👀 WIE WEIRD ES SEIN MUSS, NUR NACHRICHTEN IN ALL CAPS ZU KRIEGEN!!! 🇺🇸 🇺🇸 🇺🇸

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40 Meter in 5,6 Sekunden: Fiete ist Deutschlands schnellster Dackel.

Fiete und Frieda flitzen zum Titel: Schnellster Dackel Deutschlands kommt aus Schleswig-Holstein
Über 200 Vierbeiner sind bei der ersten Deutschen Meisterschaft im Dackelrennen in Magdeburg angetreten. Fiete und Frieda sprinteten schließlich zum Titel – in einem Finale, das trotz Fotofinish mehrmals wiederholt werden musste.

Closure under factorization from a result of Furstenberg
Somnath Bhattacharjee, Mrinal Kumar, Shanthanu S. Rai, Varun Ramanathan, Ramprasad Saptharishi, Shubhangi Saraf
https://arxiv.org/abs/2506.23214

Closure under factorization from a result of Furstenberg
We show that algebraic formulas and constant-depth circuits are closed under taking factors. In other words, we show that if a multivariate polynomial over a field of characteristic zero has a small constant-depth circuit or formula, then all its factors can be computed by small constant-depth circuits or formulas respectively. Our result turns out to be an elementary consequence of a fundamental and surprising result of Furstenberg from the 1960s, which gives a non-iterative description of t…

„Krone“-Aktion - Mehr Rücksicht: „Ich bremse auch für Murmeltiere!“ #News #Nachrichten

Constant-depth circuits for polynomial GCD over any characteristic
Somnath Bhattacharjee, Mrinal Kumar, Shanthanu Rai, Varun Ramanathan, Ramprasad Saptharishi, Shubhangi Saraf
https://arxiv.org/abs/2506.23220

Constant-depth circuits for polynomial GCD over any characteristic
We show that the GCD of two univariate polynomials can be computed by (piece-wise) algebraic circuits of constant depth and polynomial size over any sufficiently large field, regardless of the characteristic. This extends a recent result of Andrews & Wigderson who showed such an upper bound over fields of zero or large characteristic. Our proofs are based on a recent work of Bhattacharjee, Kumar, Rai, Ramanathan, Saptharishi \& Saraf that shows closure of constant depth algebraic circuits und…

Counting Reciprocal Hyperbolic Elements in Hecke Groups
Ara Basmajian, Blanca Marmolejo, Robert Suzzi Valli
https://arxiv.org/abs/2505.21365 https://

Counting Reciprocal Hyperbolic Elements in Hecke Groups
A reciprocal geodesic on a (2,k, $\infty$) Hecke surface is a geodesic loop based at an even order cone point p traversing its path an even number of times. Associated to each reciprocal geodesic is the conjugacy class of a hyperbolic element in the (2,k,$\infty$) Hecke group whose axis passes through a cone point that projects to p. Such an element is called a reciprocal hyperbolic element based at p. In this paper, we determine the asymptotic growth rate and limiting constant (in terms of w…

Es ist Sonntag, also wie immer Zootag - hier wieder die aktuell direkt verfügbaren freilaufenden #wandklex Tiere und Co.
(Fast) alle sind momentan im Original im Klexshop auf #birds #mammals #MarineLife #watercolor #watercolour #art #artShop #fediart #mastoart #creativeToots #artforsale

Die letzten Johannisbeeren verarbeitet: weiße zu Sorbet, rote zu Sirup und schwarze zu Marmelade.

Tom wäre begeistert.

Hier ist Feiertag, ich habe schon schwarze Johannisbeeren geerntet (und stehe jetzt vor der Entscheidung "Sorbet oder Marmelade?"), aber erst mal Kaffee.