Even though human experience unfolds continuously in time, it is not strictly linear; instead, it entails cascading processes building hierarchical cognitive structures. For instance, during speech ...

Neural networks are universal function approximators, which means that given enough parameters, a neural net can approximate any multivariable continuous function to any desired level of accuracy. The ...

Teaching students to identify graphs of continuous functions is an important concept in mathematics. Understanding the continuity of a function can help students make predictions about the behavior of ...

Abstract: Continuous wavelet transforms of multivariable vector function spaces are discussed. In the weak topology we get the reconstruction formulas of the continuous wavelet transforms of ...

We present old and new results about the size function of a set providing simple and complete proofs using basic tools of general topology. For instance, the decomposition of the size function is ...

1 Center for Dynamical Systems, Signal Processing and Data Analytics, Department of Electrical Engineering (ESAT), KU Leuven, Leuven, Belgium 2 Group Science, Engineering and Technology, KU Leuven ...

This course is designed to develop the topics of multivariate calculus. Emphasis is placed on multivariate functions, partial derivatives, multiple integration, solid analytical geometry, vector ...