Tootfinder

Dallas Cowboys sign running back, move promising guard to IR https://www.si.com/nfl/cowboys/news/dallas-cowboys-sign-running-back-move-promising-guard-to-ir

Broncos QB Bo Nix remains harshest critic entering Year 2

https://www.cbssports.com/nfl/news/broncos-qb-bo-nix-remains-harshest-critic-entering-year-2/

Apple renames its OSes, shifting to a year-based system; the next iOS is iOS 26, alongside macOS Tahoe 26, iPadOS 26, watchOS 26, tvOS 26, and visionOS 26 (Dominic Preston/The Verge)
https://www.theverge.com/news/679221/apple-ios-macos-watchos-ipados-26…

Apple renames its operating systems
iOS, macOS, watchOS, and more now have matching version numbers, as Apple brings all its operating systems to version 26 at WWDC.

Rain came and went, and what I thought was no humidity was really just camouflaged by a breeze. I found plenty of places where there was no breeze! 🥵
Still, that’s three runs and therefore a trend. I’ll happily take it.
#Running

RunPacer: A Smartwatch-Based Vibrotactile Feedback System for Symmetric Co-Running by Visually Impaired Individuals and Guides
Yichen Yu, Huan-Song Xu
https://arxiv.org/abs/2507.04241

RunPacer: A Smartwatch-Based Vibrotactile Feedback System for Symmetric Co-Running by Visually Impaired Individuals and Guides
Visually impaired individuals often require a guide runner to safely participate in outdoor running. However, maintaining synchronized pacing with verbal cues or tethers can be mentally taxing and physically restrictive. Existing solutions primarily focus on navigation or obstacle avoidance but overlook the importance of real-time interpersonal rhythm coordination during running. We introduce RunPacer, a smartwatch-based vibrotactile feedback system that delivers synchronized rhythmic pulses to…

Generalization of Ramanujan's formula for the sum of half-integer powers of consecutive integers via formal Bernoulli series
Max A. Alekseyev, Rafael Gonzalez, Keryn Loor, Aviad Susman, Cesar Valverde
https://arxiv.org/abs/2506.05961

Generalization of Ramanujan's formula for the sum of half-integer powers of consecutive integers via formal Bernoulli series
Faulhaber's formula expresses the sum of the first $n$ positive integers, each raised to an integer power $p\geq 0$ as a polynomial in $n$ of degree $p+1$. Ramanujan expressed this sum for $p\in\{\frac12,\frac32,\frac52,\frac72\}$ as the sum of a polynomial in $\sqrt{n}$ and a certain infinite series. In the present work, we explore the connection to Bernoulli polynomials, and by generalizing those to formal series, we extend the Ramanujan result to all positive half-integers $p$.

After four years as SAG-AFTRA president, Fran Drescher will not seek another term; ballots for new candidates will be collected from August 13 to September 12 (Katie Kilkenny/The Hollywood Reporter)
https://www.hollywoodreporter.com/business

Fran Drescher Won’t Run for SAG-AFTRA President As Candidates Line Up for Race
A list of national political candidates at the union, released Friday, confirmed that the labor group’s erstwhile strike leader is not seeking reelection.

Just 1 big question remains in the Best of Cowboys series https://insidethestar.com/just-1-big-question-remains-in-the-best-of-cowboys-series

Who are the NFL's best running backs? Execs, coaches and scouts help rank 2025's top 10 https://www.espn.com/nfl/story/_/id/45589580/ranking-nfl-top-10-running-backs-2025-execs-coaches-scouts-m…

Cowboys Predicted To Make Peculiar Decision On Final 53 Man Roster https://heavy.com/sports/nfl/dallas-cowboys/predicted-five-running-backs-final-roster/?adt_ei=[email]