Why is a straight line always the shortest path between two points? 📐 This video explains the result using a variational approach, showing how minimizing distance leads naturally to a straight line ...

This repo contains the working files for my personal lecture notes for Algebraic Topology 1 being taught in the Winter term of 2023/4 by Prof. Dr. Markus Hausmann at the University of Bonn. A compiled ...

Abstract: In this paper, a real-time quasi-optimal trajectory planning scheme is employed to guide an autonomous underwater vehicle (AUV) safely into a funnel-shape stationary docking station. By ...

Introduction Ethnic differences in the birth prevalence of congenital heart defects (CHDs) have been reported; however, studies of the contemporary UK population are lacking. We investigated ethnic ...

This book is intended as a one-semester course in general topology, a.k.a. point-set topology, for undergraduate students as well as first-year graduate students. Such a course is considered a ...

A hypothesis is a certain function that we believe (or hope) is similar to the true function, the target function that we want to model. In context of email spam classification, it would be the rule ...