Mathematician Benoit Mandelbrot coined the term “fractal” in a 1975 book on the subject, and his seminal 1982 book The Fractal Geometry of Nature (1), which catalogs the ubiquity of the geometric patterns, is widely credited for bringing them to the masses. Mathematicians disagree on a precise definition, but a fractal is typically described as exhibiting self-similarity, which means identical ...

We see with the brain, not the eyes (Bach-y-Rita, 1972); images that pass through our pupils go no further than the retina. From there image information travels to the rest of the brain by means of coded pulse trains, and the brain, being highly plastic, can learn to interpret them in visual terms. Perceptual levels of the brain interpret the spatially encoded neural activity, modified and augm...

But to proceed, I have seen a vast variety of singular animals, such as dromedaries, camels, &c and particularly at Leipsick, where a celebrated master of music, who had already arrived to his 88th year, received his sight by my hands; it is with this very man that the famous Handel was first educated, and with whom I once thought to have had the same success, having all circumstances in his fa...

PEROXIDASE, the enzyme which induces the oxidation of guaiacum and other oxidisable substances by hydrogen peroxide, is known to be present in nearly all living plant cells. Many plants, moreover, are able to cause the blueing of guaiacum without the addition of hydrogen peroxide; these have been considered to contain a direct oxidase, phenolase or laccase. Bach and Chodat consider such an enzy...

The aim of this paper is to introduce and justify a possible generalization the classic Bach field equations on four-dimensional smooth manifold [Formula: see text] in presence text], given by map with source target another Riemannian manifold. Those are characterized vanishing two times covariant, symmetric, traceless conformally invariant tensor field, called text]-Bach tensor, that absence r...