Tangent sum
When I was writing my post on lemniscate functions yesterday, a line from the Wikipedia article seemed familiar for reasons I cannot place. Defining a tangent-sum operator as a ⊕ b := tan(arctan a + arctan b) gives cl² z ⊕ sl² z = 1. I feel like I’ve seen
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We begin with a couple examples. First, the set of linear transformations from one vector space to another is itself a vector space. Second, the set of continuous linear operators from one Banach space to another is itself a Banach space. Or maybe better, this set can be made into
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Instead of scrolling mindlessly through a social feed of updates, a new app called Thoughts offers a way to scroll through and collect inspirational content. Created by indie developer Henri Bredt, Thoughts is described as a “focused inspiration manager” that’s designed to help you remember things that inspired you, whether
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Image generated by MidjourneyWhat do engineering managers identify as the most challenging part of their job? The answer is nearly unanimous: managing people. Even with well-honed emotional intelligence and a naturally self-aware disposition, great managers will encounter situations that rigorously test their social and communication skills.If you could master just
Read moreSpotify’s new artist profiles highlight music, Stories, merch and events
Spotify today is rolling out a big change in terms of how users connect with artists on its streaming music platform. With the newly debuted artist profile pages, content has been reorganized under three main tabs, including Music, Events and Merch. The Music tab will also now not only feature
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Highlighting one of the interesting discussions going on in our Collectives.
Read moreMachina Labs raises $32M to bring flexibility to manufacturing
“Flexibility” isn’t a word one often applies to the manufacturing process. Changing things up on the assembly line is a resource-intensive activity, but automation and robotics could go a ways toward removing some friction from the process. That’s effectively the thesis statement behind Machina Labs. The Los Angeles-based firm distills
Read moreSony will offer Emerge’s tactile ultrasound device through a Bravia camera bundle
Emerge this week announced a partnership with Sony, a big boon for the hardware startup. The deal involves two pieces: first, Sony will highlight Emerge’s ultrasonic tactile device in its smart TV app. Second, starting next year, Sony will begin offering a Bravia Cam bundle featuring Emerge Wave-1. A smart
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