Suppose we measure a quantity at several points. The observations do not lie perfectly on a line: experiments contain noise, models are imperfect, and the world is more complicated than our equations. We therefore need a principled way to choose the line—or, more generally, the model—that best represents the data. Read more
Suppose we measure a quantity at several points. The observations do not lie perfectly on a line: experiments contain noise, models are imperfect, and the world is more complicated than our equations. We therefore need a principled way to choose the line—or, more generally, the model—that best represents the data. Read more
War is usually remembered through numbers: the armies assembled, the days of battle, the territory won, and the lives lost. Yet the wars in the Mahabharata and the Ramayana have survived for another reason. They are not only stories of weapons and warriors; they are vast thought experiments. They place human beings under unbearable pressure and ask what remains of duty, love, justice, and wisdom when every choice carries a cost. Read more
Cellular compartments and organelles organize biological matter. Most well-known organelles are separated by a membrane boundary from their surrrounding milieu. There are also many so-called membraneless organelles and recent studies suggest that these organelles, which are supramolecular assemblies of proteins and RNA molecules, from via protein Read more
I was asked a question today about a typical way to present the error between a numerical scheme and an exact solution, and the convergence of the method. I will demonstrate one method that is typically used based on the $L_{2}$-norm of the norm. Read more