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  • September 12, 2025
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Mastodon rolls out quote posts with protections to prevent ‘dunking’

Decentralized X alternative Mastodon adds support for quote posts, but with additional controls.

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  • September 12, 2025
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Preparing for your later-stage raise: Insider strategies from top investors at TechCrunch Disrupt 2025

Planning your Series C and beyond? Hear from IVP’s Zeya Yang, Generation’s Lila Preston, and Diligent Robotics’ Andrea Thomaz on the Builders Stage at TechCrunch Disrupt 2025, October 27–29 in San Francisco.

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  • September 12, 2025
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Last day to amplify your brand: Host your Side Event at TechCrunch Disrupt 2025

The application to host a Side Event at TechCrunch Disrupt 2025 closes tonight at 11:59 p.m. PT. Boost your brand during Disrupt Week in October. Apply now.

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  • September 12, 2025
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How an over-the-air update made Quilt’s heat pumps more powerful

Quilt's software update unlocked an additional 20% heating and cooling capacity for all of its heat pumps, including those installed in customers' homes.

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  • September 12, 2025
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Apple delays release of iPhone Air in China due to pending approval of eSIM

The eSIM-only iPhone Air's release is being delayed in China, likely due to regulatory issues around the approval of the embedded SIM.

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  • September 12, 2025
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More triangle inequalities

Yesterday I wrote about a triangle inequality discovered by Paul Erdős. Let P be a point inside a triangle ABC. Let x, y, z be the distances from P to the vertices and let p, q, r, be the distances to the sides. Then Erdős’ inequality says x + y + z ≥ 2(p + q + r). Using the same notation, here are four more triangle inequalities discovered by Oppenheim

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  • September 12, 2025
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We are entering a golden age of robotics startups — and not just because of AI

The robotics startup market has matured over the last decade and the cost to produce robots has gone down significantly.

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  • September 12, 2025
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Area of unit disk under a univalent function

Let D be the unit disk in the complex plane and let f be a univalent function on D, meaning it is analytic and one-to-one on D. There is a simple way to compute the area of f(D) from the coefficients in its power series. If then The first equality follows from the

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  • September 12, 2025
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Planning to Arm mobile devices with chips that handle AI

Ryan welcomes Geraint North, AI and developer platforms fellow at Arm, to dive into the impact of GenAI on chip design.

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  • September 11, 2025
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Random samples from a polygon

Ted Dunning left a comment on my post on random sampling from a triangle saying you could extend this to sampling from a polygon by dividing the polygon into triangles, and selecting a triangle each time with probability proportional to the triangle’s area. To illustrate this, let’s start with a

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