GPT-5.4 Pro cracked a conjecture in number theory that had stumped generations of mathematicians, using a proof strategy that ...
In the 1930s and 1940s, for example, a group of Polish mathematicians regularly met in a café in Lwów, Poland (now Lviv, ...
Teachers can use these questions to draw students out and get worthwhile formative assessment responses to guide instruction.
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Math tutorial for composing two functions
Learn how to compose two linear functions. To compose two functions means to express one of the functions as a function of the other function. This is done by replacing the input variable of one of ...
Over 21 days of talking with ChatGPT, an otherwise perfectly sane man became convinced that he was a real-life superhero. We analyzed the conversation. By Kashmir Hill and Dylan Freedman Kashmir Hill ...
After finding the homeschooling life confining, the teen petitioned her way into a graduate class at Berkeley, where she ended up disproving a 40-year-old conjecture. It’s not that anyone ever said ...
The object-oriented paradigm popularized by languages including Java and C++ has slowly given way to a functional programming approach that is advocated by popular Python libraries and JavaScript ...
The Riemann hypothesis is the most important open question in number theory—if not all of mathematics. It has occupied experts for more than 160 years. And the problem appeared both in mathematician ...
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