The definitions and rules associated with plagiarism and copyright infringement can be difficult to interpret. In fact, it is possible to plagiarize or commit copyright infringement unknowingly simply because an author does not understand how to properly cite another person’s original idea or credit someone’s photograph. Authors can avoid these critical writing pitfalls by familiarizing themsel...

Lagrange multipliers offer a way to find the extrema of an objective function f(x1, x2, . . . , xn) subject to a constraint function g(x1, x2, . . . , xn) = 0; for example, we may wish to maximize a+ b+ c subject to a2 + b2 + c2 = 1. However, there are lots of tiny details that need to be checked in order to completely solve a problem with Lagrange multipliers. On an olympiad the use of Lagrang...

The Table Maker’s Dilemma is the problem of always getting correctly rounded results when computing the elementary functions. After a brief presentation of this problem, we present new developments that have helped us to solve this problem for the double-precision exponential function in a small domain. These new results show that this problem can be solved, at least for the double-precision fo...

We consider the problem of configuring a system in software and design database domains, where a system comprises a version for each of its constituent objects. We present a syntactic characterization of a correct configuration, tied to a transaction model, that makes it possible to generate automatically all correct configurations of a system. One can also generate configurations that satisfy ...