A graph G = (V, E) is said to be an interval graph if each vertex in the graph can be associated with an interval in the real line such that two vertices are adjacent in the graph iff the two ...

Graphing a piecewise defined function might seem daunting at first, but breaking down the process into manageable steps can make it significantly easier. A piecewise function, as the name suggests, is ...

A modern C++ header-only library implementing Disjoint Interval Sets as a complete Boolean algebra. Features elegant API, compile-time intervals, multi-dimensional support, and mathematical notation ...

A function is a relation such that for each \(x\)-value there is only one corresponding \(y\)-value. In other words, a function cannot contain two different ordered pairs with the same first ...

Despite the “2” in the title, you can follow this post without having read part 1. The whole point is to sneak up on the metricky, analysisy stuff about potential functions from a categorical angle, ...

Abstract: This paper focuses on developing a performance guaranteed state estimation algorithm for 2D pose graph problems for mobile robots. Different from probabilistic methods, the measurement ...

Scientific notation is a method of expressing large or small numbers in a more manageable form. This practical system involves writing numbers using exponents, making calculations much more ...

For math and economics students, notetaking software that converts lecture notes into equations and graphs eases the learning process. Handwritten notes, although great for memorization, make solving ...