Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

Researchers turned a classic theory of information into a near-perfect Wordle strategy that solves 99% of puzzles.

In this video, we provide essential "math help" by explaining how to "solve" a "system of equations" using the "substitution ...

Abstract: Sampling from the posterior distribution in latent diffusion models for inverse problems is computationally challenging. Existing methods often rely on Tweedie's first-order moments that ...

In fact, in 2024, Barkley pledged $1 million to St. Mary's High School in New Orleans because of two brilliant students who ...

Researchers developed a Wordle-solving strategy that succeeds 99% of the time by focusing on information gain rather than likely answers. The method uses Shannon entropy to identify guesses that ...

Every day, millions of people play Wordle, the popular New York Times game that challenges users to guess a secret five-letter word. Using information theory, a team of researchers at Binghamton ...

For new discoveries, everyday mysteries, and the science behind the headlines, follow NPR's ShortWave podcast . Over a century ago, the German psychologist Wolfgang Köhler conducted what became a ...

Abstract: Metaheuristic algorithms have demonstrated strong effectiveness in solving complex real-world optimization problems. This paper presents two discrete metaheuristic approaches for the ...

In this video, we provide essential "math help" by demonstrating how to "solve" various algebraic and "quadratic equations". This "math tutorial" covers linear equations and progresses to more complex ...

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In mid-May, OpenAI announced that an internal AI model had disproved the Erdős unit distance conjecture, a famous problem in discrete geometry that had stumped human mathematicians for the last 80 ...