AxiomProver solved a real open math conjecture using formal verification, signaling a shift from AI that assists research to AI that discovers new truths.
Google's Genie generates infinite interactive worlds from text. The secret? AI models compress reality's rules into transferable principles, enabling boundless creation.
Abstract: The support function of a surface is a fundamental concept in mathematics and a crucial operation for algorithms in robotics, such as those for collision detection and grasp planning. It is ...
The total area under the curve must equal 1, representing the fact that the probability of some outcome occurring within the entire range is certain. \[\int_{-\infty}^{\infty}f\left(x\right)dx=1\] ...
If you’ve ever shuffled a deck of playing cards, you’ve most likely created a unique deck. That is, you’re probably the only person who has ever arranged the cards in precisely that order. Although ...
This film discusses the concept of functions in mathematics, emphasizing their importance and modern formulations. It explains how to create ordered pairs from a set of numbers and illustrates how ...
Matthew Young joined the Rutgers-New Brunswick School of Arts and Sciences as a professor of mathematics this past academic year. The Rutgers University Board of Governors has appointed Matthew Young ...
In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.
People usually talk about the race to the bottom in artificial intelligence as a bad thing. But it’s different when you’re discussing loss functions. Loss functions are a crucial but frequently ...
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