Microsoft (MSFT) is rated a buy, driven by a 112% Y/Y surge in commercial bookings and a $392B RPO backlog, signaling structural AI demand. MSFT's AI Factory strategy and Copilot integration underpin ...

Mathematicians use the logarithm to express the inverse function of exponentiation. That is, the logarithm of a given number p is the exponent to which another fixed number, the base b, must be raised ...

Abstract: In this paper, we investigate the use of relaxed logarithmic barrier functions in the context of linear model predictive control. We present results that allow to guarantee asymptotic ...

A logarithm is the power which a certain number is raised to get another number. Before calculators and various types of complex computers were invented it was difficult for scientists and ...

Abstract: Low-rank matrix recovery is a major challenge in machine learning and computer vision, particularly for large-scale data matrices, as popular methods involving nuclear norm and singular ...

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

Dec 7, 2025 There are two ways to stick SU(2) × SU(3) in Spin(10). One is good for physics; the other, alas, is easily obtained using the octonions.