Abstract: Whereas interior point methods provide polynomial-time linear programming algorithms, the running time bounds depend on bit-complexity or condition measures that can be unbounded in the ...

Diophantus is the father of symbolic Algebra. Credit: LeJyBy CC BY-NC-SA 2.0 The mathematician Diophantus of Alexandria is one of the most important but often underappreciated figures in the history ...

Quadratic stochastic operators (QSOs) are nonlinear mappings that describe the time evolution of probability distributions across a finite set of states. Originating in population genetics and ecology ...

Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...

A changing world demands a resilient response. The United Nations employs a diverse range of mechanisms and tools to prevent conflict, foster people-centered, peaceful resolutions, and build ...

Analog Academics: As students increasingly struggle with college algebra requirements, many are sent to “remedial” math classes to catch up. Here, a remedial math student's notebook at Baltimore City ...

The original version of this story appeared in Quanta Magazine. In 1939, upon arriving late to his statistics course at UC Berkeley, George Dantzig—a first-year graduate student—copied two problems ...

Black and Latino students are much less likely to have early access to Algebra 1 than their white and Asian peers—even when they’re in the same schools, and have similarly high math scores, according ...

Schools are less likely to offer Latino and Black students early algebra classes, effectively shutting these students off from advanced courses and higher-paying jobs, according to research released ...

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better. In 1939, upon arriving late to his statistics course at the ...