We present a revised definition of a Ribaucour transformation for submanifolds of space forms, with flat normal bundle, motivated by the classical definition and by more recent extensions. The new ...

Abstract: It is well known in the literature that the design of stabilization controllers for control systems governed by linear heat equations can be achieved by applying the integral-type ...

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 ...

Let's unravel the connection between graphs and their equations, exploring how to identify the equation that corresponds to a given graph. The process involves understanding the fundamental ...

Many companies justify complacency as risk aversion. In truth, they risk more by staying the course. The best leaders cultivate healthy paranoia to spot shifting ground—and move before it’s too late.

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...

Getting a clear understanding of the change happening to TV viewership in Europe today is anything but clear. Consider the confusing streaming saga of the FA Cup. According to the official FA ...

ABSTRACT: In previous papers, we proposed the important Z transformations and obtained general solutions to a large number of linear and quasi-linear partial differential equations for the first time.