Inverse exchange-traded funds (ETFs) offer a way for contrarian traders to bet against the expected daily performance of an asset class, such as stocks or bonds. These risky investments, often in the ...

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Existing long-CoT reasoning models have achieved state-of-the-art performance in mathematical reasoning by generating reasoning trajectories with iterative self-verification and refinement. However, ...

When you install Python packages into a given instance of Python, the default behavior is for the package’s files to be copied into the target installation. But sometimes you don’t want to copy the ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most challenging tasks in numerical ...

From fears about academic dishonesty to declining foundational skills and increased screen time, there’s no shortage of concern about how students use artificial intelligence (AI). While I share many ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals.