Tootfinder

🔊 #NowPlaying on #BBCRadio3:
#SoundOfCinema
- Edith speaks to Benjamin Wallfisch
Discover the finest film and TV soundtracks with Edith Bowman- featuring composer Benjamin Wallfisch, and BBC Radio Scotland presenter Jamie MacDougall with his Pick of the Flicks.
Relisten now 👇
https://www.bbc.co.uk/programmes/m002n89j

On some conjectural supercongruences involving the sequence $t_n(x)$
Hui-Li Han, Chen Wang
https://arxiv.org/abs/2510.11338 https://arxiv.org/pdf/2510.1133…

On some conjectural supercongruences involving the sequence $t_n(x)$
In this paper, we study some supercongruences involving the sequence $$ t_n(x)=\sum_{k=0}^n\binom{n}{k}\binom{x}{k}\binom{x+k}{k}2^k $$ and solve some open problems. For any odd prime $p$ and $p$-adic integer $x$, we determine $\sum_{n=0}^{p-1}t_n(x)^2$ and $\sum_{n=0}^{p-1}(n+1)t_n(x)^2$ modulo $p^2$; for example, we establish that \begin{align*} \sum_{n=0}^{p-1}t_n(x)^2\equiv\begin{cases} \left(\dfrac{-1}{p}\right)\pmod{p^2},&\text{if }2x\equiv-1\pmod{p},\\[8pt] (-1)^{\langle x\rangle…

🇺🇦 #NowPlaying on KEXP's #VarietyMix
Ciśnienie:
🎵 Gilotyna
#Ciśnienie
https://cisnienie.bandcamp.com/track/gilotyna

Immer mehr #Wildbienenarten in Europa sind bedroht. Laut IUCN gelten inzwischen 172 Arten als gefährdet – fast doppelt so viele wie 2014.
Auch bei #Schmetterlingen nimmt der Rückgang zu. Hauptursachen sind Lebensraumverlust,

Sorge um Obst und Gemüse: Fast 100 weitere Wildbienenarten sind bedroht
Bestäuber wie Bienen sind überlebenswichtig für Gesundheit, Ernährungssysteme und Wirtschaft. Ihre Anzahl sinkt jedoch immer weiter. Die Weltnaturschutzunion fordert mehr Schutz.

I’ve been looking for this as a feature - offline feed reading in @himmel.app (haven’t tried the app myself yet)
[contains quote post or other embedded content] https://bsky.app/profile/bmann.ca/post/3m6wr2o3pbs2b

Mit Orzo perlato, Sellerieknöllchen, weißen Bohnen und etwas Stängelkohl als Substitutionssubstanzen. Let this be recommended. #nommention
https://<…

Chickpea Stew With Orzo and Mustard Greens Recipe (Gift Recipe)
A complex and colorful chickpea stew, this is rich with vegetables, olive oil and Parmesan cheese. You can vary the vegetables to use what you’ve got. Here, I keep to the basics, adding carrots for sweetness, fennel or celery for depth, cherry tomatoes for looks. Tender greens, wilted into the bubbling mixture at the end, are optional, but they do add a bright, almost herbal note. I particularly love using baby mustard greens, which are pleasantly peppery. But spinach, arugula and kale work w…

@… on stage: Type Universes as Kripke Worlds
Paulette Koronkevich, William J. Bowman @… https://

Steve Bannon gets a boost in Supreme Court appeal of his contempt conviction (Jordan Rubin/MSNBC)
https://www.msnbc.com/deadline-white-house/deadline-legal-blog/steve-bannon-gets-boost-supreme-court-appeal-contempt-conviction-rcna243525
http://www.memeorandum.com/251112/p144#a251112p144