Simon KwanThe magic of Artificial Neural Network — Part 3This is my third article on the magic of the Artificial Neural Network. I have sketched the proof of the Universal Approximation Theorem…8 min read·May 22, 2024----

Simon KwanHahn-Banach theoremThis is article on the Hahn-Banach theorem. I write this article down to serve both as a note for me as well as a tutorial for the…7 min read·May 14, 2024----

Simon KwanThe magic of Artificial Neural Network — Part 2This is my second article on unlocking the magic of Artificial Neural Network. In part 1, the space of real-valued continuous function…8 min read·Apr 10, 2024----

Simon KwanGeneral Topology — Part 7 (Locally Compact Hausdroff Space)In the Locally Compact Hausdroff Space, when a compact set is contained by an open set, a “bump” function over this open set will exist…6 min read·Nov 27, 2023----

Simon KwanGeneral Topology — Part 6 (Hausdorff Space)Hausdorff Space and Compact Set8 min read·Nov 9, 2023----

Simon KwanGeneral Topology — Part 3In this article, I will discuss some essential topological concepts that are closely related: Neighbourhood, Limit Point, Closed Set…9 min read·Dec 25, 2021----