Chebfun in Three Dimensions

An Extension of Chebfun to Two Dimensions

An object-oriented Matlab system is described that extends the capabilities of Chebfun to smooth functions of two variables defined on rectangles. Functions are approximated to essentially machine precision by using iterative Gaussian elimination with complete pivoting to form “chebfun2” objects representing low rank approximations. Operations such as integration, differentiation, function eval...

Biology in three dimensions

Most things in biology spread out into three dimensions, and many biological web sites include three-dimensional images. But biologists want more than a look at something. They want to pick it up and look at it from all sides, which is where three-dimensional images that can be manipulated online really come into their own. One approach to such interactive images relies on VRML (virtual reality...

Collapsars in Three Dimensions

We present the results of 3-dimensional simulations of the direct collapse to a black hole of a rotating, 60M⊙, zero metallicity, population III star. Because the structure of this star (angular momentum, density and temperature profiles) is similar to many collapsar gamma-ray burst progenitors, these calculations have implications beyond the fate of population III stars. These simulations prov...

Supersymmetry in Three Dimensions

Thinking in three dimensions.

I have had only few major ‘‘eureka’’ moments in my life. One of them was when I realised the difference between ordinary linear thinking and systems thinking. Since then I have spent quite a lot of my time teaching systems thinking in one form or another to doctors, psychologists, educators and others. Sometimes people can be turned off by the word systems because it sounds so mechanical, but o...