Abstract: Inverse rendering aims at recovering both geometry and materials of objects. It provides a more compatible re-construction for conventional rendering engines, compared with the neural ...

Part 1 begins with an overview of properties of the real numbers and starts to introduce the notions of set theory. The absolute value and in particular inequalities are considered in great detail ...

Mathematics is the fundamental knowledge for every scientist. As an academic at the University of Science and Technology of China, Professor Sheng Gong takes his passion for mathematics teaching even ...

An Approach to Productive and Maintainable Shader Creation. Creating shaders has always been an advanced step for most developers; many game developers have never created GLSL code from scratch. The ...

This is a pedagogical introduction to the general technique of bosonization of one-dimensional systems starting from scratch and assuming very little besides basic quantum mechanics and second ...

FastMath is a comprehensive mathematical library designed for applications requiring optimized mathematical computations. It implements 25 mathematical functions using advanced optimization techniques ...

Oct 6, 2025 I’m trying to better characterize two maximal subgroups of the group of automorphisms of the exceptional Jordan algebra, whose intersection is the Standard Model gauge group.