Born in Warsaw, Poland, in 1924, the improbably named Benoît B Mandelbröt – the ”B” stands for a non-existent middle name – would be so important to the story of fractal geometry that he pretty ...

The interactions between light and nitroaromatic hydrocarbon molecules have important implications for chemical processes in ...

What is ignored is the analytic tradition in philosophy. That tradition hearkens back to Descartes (father of analytic ...

A group of researchers in Japan has revealed, for the first time, a mechanism for controlling the potential of an electron ...

No matter how hard my son tries, there is a course he just can't get an A in. He gets A's in his other courses, and he's had ...

path 16+16n bytes Closed path (similar to polygon) ((x1,y1),...) path 16+16n bytes Open path [(x1,y1),...] polygon 40+16n bytes Polygon (similar to closed path) ((x1,y1),...) circle 24 bytes Circle ...

Concatenates two open paths (returns NULL if either path is closed). path '[(0,0),(1,1)]' + path '[(2,2),(3,3),(4,4)]' → [(0,0),(1,1),(2,2),(3,3),(4,4)] ...

Analytical biochemistry is the study of biochemical components found in a cell or other biological sample. This scientific discipline uses a broad range of techniques for separation ...

November 14th, 2024. University of California, Santa Barbara. Seminar on Geometry and Arithmetic, 90 minutes : p-adic L-functions for P-ordinary Hida families on unitary groups. November 6th, 2024.

and the first-order small-slope approximation (SSA1), under which analytical formulations of the correlation between the received electromagnetic fields are derived. It is found that in the coplanar ...

The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acs.jpcc.4c04873. Figures: Experimental data showing solvatochromic shifts ...

This geometry, Berry realized, gives quantum particles a kind of memory. At the time, Berry was investigating a very simple system: the quantum state of a particle, such as a neutron, in a ...