In this assignment we will explore how to flatten a surface embedded (or even just immersed) in $\mathbb{R}^3$ to the flat plane (i.e. $\mathbb{R}^2$). This process is often referred to as ...

SuperCalculator is a collection of 20 different mathematics calculators performing specific Calculations, which was Just made using HTML, CSS and Pure Javascript without any framework or library. This ...

Abstract: The problem of finding a minimal circuit to implement a given function is one of the oldest in electronics. It is known to be NP-hard. Still, many tools exist to find sub-optimal circuits to ...

At its core, the SPARKLINE function in Google Sheets takes a row of numbers and turns them into a mini chart that lives right inside a single cell. Instead of inserting a full-sized chart that eats up ...

Abstract: In power industries and academia, piecewise linearization methods are widely used in optimal power flow (OPF) problems to approximate the nonlinear objective functions. Better computational ...

Developed during ten years of teaching experience, this book serves as a set of lecture notes for an introductory course on numerical computation, at the senior undergraduate level. These notes ...

Explore research at Microsoft, a site featuring the impact of research along with publications, products, downloads, and research careers.

Theorem 1. For any given integer , there are infinitely many square-free congruent numbers with exactly odd prime divisors in each residue class of 5, 6, 7 mod 8. Theorem 1 follows from the following ...