This requires an algorithm: students are taught to stack one number atop another and multiply each digit of the bottom number ...

How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...

Pulmonary fibrosis is a chronic, progressive and irreversible heterogeneous disease of pulmonary interstitial tissue. Its incidence is increasing year by year in the world, and it will be further ...

In general, image reconstruction methods used in diffuse optical tomography (DOT) are based on diffusion approximation, and they consider the breast tissue as a homogenous, semi-infinite medium.

Worse-case analysis takes a “Murphy’s Law” approach to algorithm analysis, which is too crude to give meaningful algorithmic guidance for many important problems, including linear programming, ...

Gene targeting with homologous recombination in embryonic stem cells created a revolution in the analysis of the function of genes in behavioral brain research. The technology allowed unprecedented ...

In this post I shall discuss the paper “On a Topological Topos” by Peter Johnstone. The basic problem is that algebraic topology needs a “convenient category of spaces” in which to work: the category ...