Abstract: Inhomogeneous linear ordinary differential equations (ODEs) and systems of ODEs can be solved in a variety of ways. However, hardware circuits that can perform the efficient analog ...

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In just a few years, Artificial intelligence (AI) has upended our cultural dialogue and economic outlook and is increasingly transforming daily life. As technology grows, there are promises of ...

Abstract: A new approach based on the minimum-extent criterion is proposed for solving linear inverse problems. The minimum-extent criterion requires minimizing the extent of the function used to ...

The Nature Index 2024 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

Linear inequalities are an essential component of algebra. They involve variables, constants, and inequality signs, depicting a range of solutions rather than one specific solution like an equation ...