Abstract: This book contains a detailed discussion of the matrix operation, its properties, and its applications in finding the solution of linear equations and determinants. Linear algebra is a ...

Modern applications such as machine learning and large-scale optimization require the next big step, "matrix calculus" and calculus on arbitrary vector spaces ... "transposing" the linear operator ...

Continuous Linear Functional: A linear function that maps elements from a vector space to the underlying field, preserving the structure and continuity of the space. Hahn-Banach Theorem ...

"Though actions speak louder than words, language still matters, particularly when the United States apparently still wants to lead in space internationally." What does "manifest destiny" mean ...

Credit: StartRocket WASHINGTON — Astronomers are calling on nations to ban advertising in space that can be seen from the ground, calling it the latest threat to the dark and quiet sky.

Written by Maria-Cristina Florian Published on January 24, 2025 The architecture of learning spaces directly impacts learning outcomes. Flexible designs featuring adaptable partitions, movable ...

Electric propulsion is being increasingly used on space missions and could ultimately replace thrusters using chemical rockets. Spacecraft powered by electric propulsion could soon be better ...

A café. A dog park. A gym. A library. A playground. A bar. We often take these spaces for granted. Many of us float through them daily – ordering coffee, getting our puppy some exercise ...