📚 Explore linear algebra concepts with this beginner-friendly guide, covering vectors, scalars, and more through clear explanations and practical examples.

In this third video of our Transformer series, we’re diving deep into the concept of Linear Transformations in Self Attention. Linear Transformation is fundamental in Self Attention Mechanism, shaping ...

Abstract: Geometric algebra possesses many advantages and mathematical simplifications in electromagnetics. One of these advantages is the simple way that reflections and rotations can be depicted.

ABSTRACT: In this paper, we consider the monoid FixOCT( [ n ],D ) of all order-preserving full contraction mappings that fix a subset say D of a finite n -element chain { 1,2,⋯,n } . We characterize ...

Horizontal gene transfer by natural transformation (NT) is induced in Vibrio cholerae upon attachment to chitin surfaces in the aquatic environment. Here, we show that free environmental DNA adsorbs ...

Courtney Gibbons is affiliated with the Association for Women in Mathematics and the American Mathematical Society. You might remember learning about the quadratic formula to figure out the solutions ...

ABSTRACT: “All is Number”—the universe follows a few profound mathematical rules, and pure thought can grasp reality. This paper explores the first principles of fundamental physics, focusing on the ...

PITTSBURGH, April 23, 2025 (GLOBE NEWSWIRE) -- Lipella Pharmaceuticals Inc. (Nasdaq: LIPO) ("Lipella," "we," "our," or the "Company"), a clinical-stage biotechnology company focused on developing ...

Introduction: Hemorrhagic transformation is a common complication of mechanical thrombectomy (MT), often as a result of reperfusion injury. We investigated the correlation between automated CT ...