mathematics

A math game called 0-20

A math game called 0-20

I take my 4 year old to a math circle at a nearby university. If you don't know what a math circle is, check this out: https://www.cut-the-knot.org/books/Reviews/BerkeleyMC1.shtml. Math circles are weekly math programs that attract middle and high school students to mathematics by exposing them to intriguing and intellectually stimulating topics, rarely encountered in classrooms. Maybe a good summary is that it's a program design to present children with fun, failure, and puzzles. All in the aim of distinguishing mathematics from merely arithmetic or doing things computers do, but by hand. Anyways, our circles begin with a game. It looks…
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Unlock Mule Flows: Send SOAP & Transport Headers Like a Pro

Unlock Mule Flows: Send SOAP & Transport Headers Like a Pro

Unlock the Power of Mule Flows: Learn How to Send SOAP and Transport Headers Like a Pro As a seasoned MuleSoft expert, I recently led API implementations for a prominent client using MuleSoft's CloudHub. One common requirement that emerged was the need to integrate an external web service into Mule flows. The MuleSoft HTTP Request Connector and Web Service Consumer are the go-to connectors for developers seeking to tap into external web services from Mule flows. When making HTTP requests to an external web service, these connectors require configuration with all requisite parameters, including endpoint URL, HTTP method/operations, headers, and…
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Google DeepMind’s Game-Playing AI Tackles a Chatbot Blindspot

Google DeepMind’s Game-Playing AI Tackles a Chatbot Blindspot

Several years before ChatGPT began jibber-jabbering away, Google developed a very different kind of artificial intelligence program called AlphaGo that learned to play the board game Go with superhuman skill through tireless practice.Researchers at the company have now published research that combines the abilities of a large language model (the AI behind today’s chatbots) with those of AlphaZero, a successor to AlphaGo also capable of playing chess, to solve very tricky mathematical proofs.Their new Frankensteinian creation, dubbed AlphaProof, has demonstrated its prowess by tackling several problems from the 2024 International Math Olympiad (IMO), a prestigious competition for high school students.AlphaProof…
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Everything You See Is a Computational Process, If You Know How to Look

Everything You See Is a Computational Process, If You Know How to Look

The original version of this story appeared in Quanta Magazine.In the movie Oppenheimer, Niels Bohr challenges the physicist early in his career:Bohr: Algebra is like sheet music. The important thing isn’t “can you read music?” It’s “can you hear it?” Can you hear the music, Robert?Oppenheimer: Yes, I can.I can’t hear the algebra, but I feel the machine.I felt the machine even before I touched a computer. In the 1970s I awaited the arrival of my first one, a Radio Shack TRS-80, imagining how it would function. I wrote some simple programs on paper and could feel the machine I didn’t yet…
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