If you take away your human perspective and simply look at everything, the whole existence is just complex geometry; it is just shapes. If I look at a tree, the most significant aspect of the tree for ...

Channel morphology in streams and rivers is a product of the watershed scale flux of sediment and water to the channel network. As a result the scaling of channel geometry downstream through stream ...

The study of Dirichlet forms and Markov processes in fractal geometry offers a robust framework for analysing irregular spaces that do not conform to classical Euclidean structures. Dirichlet forms ...

Throughout history numerous clues and hints regarding geometry and frequency have been staring at us calling to us and waiting for us to put them into place like pieces of a giant puzzle Here at the ...

Transactions of the American Mathematical Society, Vol. 365, No. 9 (SEPTEMBER 2013), pp. 4575-4632 (58 pages) In this paper, an intersection theory for generic differential polynomials is presented.

Physical geometry and optical properties of objects are correlated: cylinders focus light to a line, spheres to a point and arbitrarily shaped objects introduce optical aberrations. Multi-functional ...