Abstract: Many modern Deep Learning (DL) systems have achieved impressive state-of-the-art results by combining individual sub-systems, including foundation models, to form increasingly more complex ...

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ABSTRACT: The Hodge conjecture states that the Hodge group of Hodge classes is equal to the algebraic group generated by algebraic subvarieties on a Hodge manifold. To prove the conjecture, we ...

What if a machine could think as deeply as a human mathematician, solving problems so intricate they stump even the brightest minds? Enter Gemini Deep Think, an advanced AI model that has not only ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra’s oldest challenge – solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, ...

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William Ross does not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and has disclosed no relevant affiliations beyond their ...

Microsoft Word provides several ways to create fractions, whether you need them for mathematical documents, academic work, or professional reports. You can type fractions manually, use the built-in ...

One method of broadcast transmitter aerial null-filling consists essentially in solving an algebraic equation (which in general is of degree 20 or more and has complex coefficients) and inverting some ...