OpenAI has published a paper claiming a proof of the rational Hodge conjecture for a special but important class of geometric ...

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In this video I am going to work through a common mistake I see students make when solving rational equations. Connect with ...

When I see tests with rational equations one of the more popular types of questions look like this. In this video we are going to explore why this question is popular and how to solve it.

Constitutive models are fundamental to solid mechanics and materials science, underpinning the quantitative description of material behaviors. Traditional phenomenological models are often built on ...

Microbial communities drive essential biological processes across ecosystems, yet predicting their dynamics and functions remains challenging due to context-dependent interactions. We develop a ...

Gerd Faltings has won the 2026 Abel Prize, considered the Nobel prize of mathematics, for a groundbreaking proof which took mathematics by storm in 1983. His contributions helped establish one of the ...

Is there a fundamental reason why quantum computers cannot factor large integers used for encryption today? We introduce a theory of quantum physics based on the notion that the continuum nature of ...

Although both rational choice theory and emotion provide some explanatory power for individual voting behavior, few studies to date have simultaneously examined the effects of rationality (cognition) ...