Learn the Ralph cycle for smarter AI work with Claude Code, using a bash script, a task plan, and staying within the 30–60% ...

Bacteriophages have been used therapeutically to treat infectious bacterial diseases for over a century. As ...

Google launched four official and confirmed algorithmic updates in 2025, three core updates and one spam update. This is in comparison to last year, in 2024, where we had seven confirmed updates, then ...

ABSTRACT: To overcome the problem of calculation errors in the Born approximation when the forward accumulation effect is strong in VTI media, this article combines the De Wolf approximation method ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demonstration of computing a matrix inverse using the Newton iteration algorithm. Compared to other algorithms, Newton ...

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 difficult tasks in numerical ...

Large language models have made remarkable strides in natural language processing, yet they still encounter difficulties when addressing complex planning and reasoning tasks. Traditional methods often ...

Abstract: This paper propose a quaternion modified gradient based iterative (QMGI) algorithm to solving the quaternion linear system By = e. The proposed algorithm can solve the pure virtual solution ...