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How much stress do pipes undergo when a liquid flows through them, and how does it depend on the degree of curvature of the pipe?

Bends in pipes are especially crucial, for example in the aortic arch that connects to the left ventricle of the human heart. Piping systems in industrial plants often include bends of 90 degrees or more, can be helical, and can even have 180-degree bends. Fluid mechanists in Sweden have analyzed in such pipes with a 180-degree bend. Their research is published in the journal Physical Review Fluids.

Bends in pipes are different than their straight sections because, in the curved sections, there are outward centrifugal forces due to the inertia of the liquid inside. That force is balanced by a pressure gradient from the outer wall of the to the inner wall. Because the fluid velocities in an imaginary slice through the pipe will not be equal in the curved section—for example, the velocity near the outer wall of the pipe will be greater than near the inner wall—a secondary pattern, besides the motion through the pipe, is set up perpendicular to the main flow direction.

One of the focus areas at Together Research is new architectures for long context, improved training, and inference performance over the Transformer architecture. Spinning out of a research program from our team and academic collaborators, with roots in signal processing-inspired sequence models, we are excited to introduce the StripedHyena models. This release includes StripedHyena-Hessian-7B (SH 7B), a base model, and StripedHyena-Nous-7B (SH-N 7B), a chat model. StripedHyena builds on the many lessons learned in the past year on designing efficient sequence modeling architectures: H3, Hyena, HyenaDNA, and Monarch Mixer.

Shane Parrish is the Founder of Farnam Street, an ex-Canadian Intelligence Agency Operative and an author. Our lives are mediated by our thoughts. The more accurately we can make decisions, the better and happier our existence will be. Therefore it makes sense to spend some time learning how to think more clearly and frameworks to keep us rational. Expect to learn if its truly possible to think independently, what it takes to become a clear thinker, the most common pitfalls holding you back from seeing the world accurately, how to build more strength in your mind, how to better manage your weaknesses, strategies to become an effective decision maker, the biggest lies that people follow when they focus in life and much more…

While evolutionary psychology can be incredibly useful in explaining much of modern mating and dating preferences, it fails, in my opinion, to adequately appreciate the influence of status on intersexual dynamics. The standards of attractiveness fluctuate (somewhat) from generation to generation and from culture to culture; however, what remains constant is the collective selection of some subset of partner traits considered to be “desirable.” Attracting a partner with more of these traits — irrespective of how arbitrary or superficial those traits might be — generally redounds to increased survival and prosperity.

Having accurate sensemaking is a superpower in the 21st century. As the volume of information we need to sort through increases, the ability to distinguish signal from noise becomes ever more important. Given this, I wanted to ask Daniel exactly how he would advise someone to become an adept sensemaker. Expect to learn the characteristics that a good sensemaking agent should have, why the relationship between sense, meaning and choice making is so crucial, whether Daniel thinks that humanity is too emotional to reach our full potential, at what stage of personal actualisation we should begin to help the world and much more…