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Webin the above question I have doubt regarding validity of angular momentum conservation. The question is solved by conserving angular momentum about axis of larger disc as follows; $$0 = -\frac{1}{2} M(\frac{R}{2})^2 w + M(Rw')R + \frac{1}{2} M(R^2)w' w'=\frac{w}{12}$$ but as the smaller disc is operated by motor, is angular momentum conserved when motor is turned on For example: if two similar…

This blog is Part 1 of my series, Self-Improving Docs : Turning Gaps Into Pull Requests, on how I run documentation as a self-updating system. In Part 2 , I will go deeper into the docs assistant itself: how readers ask questions, how we handle feedback, and what we learned while building this experience. In Part 3 , I will talk about the other half of the same problem, which is making the docs u…
The following is from van der Waerden's Algebra, 7th Edition, in the introductory section on sets: If a set is given by the enumeration of its elements (for example, if we say the set $\mathfrak{M}$ ...
Published on September 18, 2026 8:23 AM GMT Below is the executive summary from our new paper at pacing.tech . The full paper is available on the site and as a PDF. The full author list is Raymond Douglas, Charles Dillon, Nikola Moore, Gavin Leech, Shahar Avin, Mathias Kirk Bonde, Rohit Krishnan, Noah Perez, Nathan Young, Cormac Slade Byrd, Stephen Casper, Jan Kulveit, & David Duvenaud “Pacing AI…
Nature Communications, Published online: 18 September 2026; doi:10.1038/s41467-026-77930-1 Deep-learning segmentation accuracy depends on image resolution, with each architecture having an optimum, usually at a lower microscopy resolution. Here, the authors present ReScale4DL, a framework for optimising imaging experiments by selecting resolutions to balance accuracy, throughput and cost.
Heart Aerospace today announced the successful first flight of the company’s X1 demonstrator aircraft.…

Eve Air Mobility and RV Connex Co., Ltd., a leading Thai engineering and aerospace…

Wonderful archive footage charts the Sheffield outsiders’ unlikely rise, but the distant camerawork struggles to capture the thrill of their triumphant O2 gigs In 1978, in the classroom of a comprehensive school in Sheffield, a skinny, shortsighted 15-year-old wrote a mission statement in the back of an exercise book – a masterplan for reaching the top with the band he had recently formed with so…

(March Hare Music) This fusion of western folk and the traditional music of the Baka people creates an uneven patchwork of sound – but it astonishes when their vocals are placed front and centre Over the past 30 years, British folk musicians Su Hart and Martin Cradick have been developing a distinct fusion of traditional Cameroonian vocal music with western instrumentation. Their 1993 debut recor…

For Ryan Eddowes and Adam O’Hare, inclusion and representation are at the heart of conservation work. As members of underrepresented groups themselves, they hope to use their new show, Wild West Midlands, to highlight their British homeland and inspire others to access nature regardless of background or ability. In this article, they share more about

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