Lambert's Histology

Title of the paper: J.H. Lambert’s Scientific Tool Kit. (Exemplified by Lambert’s Measurement of

J.H. Lambert (1728-1777) developed a very detailed theory of science and experiment. Using Lambert's hygrometric studies, this article provides an introduction into Lambert's theory and its practice. Of special interest in Lambert's theory are a well-founded theory on the emergence and definition of concepts and his neat neat eye for heuristics that should ultimately lead up to a mathematizatio...

Seeing Beyond Lambert's Law

Lambert's model for diiuse reeection is extensively used in computational vision. For several real-world objects, the Lambertian model can prove to be a very inaccurate approximation to the diiuse component. While the brightness of a Lambertian surface is independent of viewing direction, the brightness of a rough diiuse surface increases as the viewer approaches the source direction. A compreh...

On Lambert's W Function

Lambert's W function is the inverse of the function w 7 ! we w. It has been applied in combinatorics, number theory, uid mechanics, quantum mechanics, and biochemistry. Some of these applications are brieey described here. This paper presents a new discussion of the complex branches of W, asymptotic expansions valid for all branches, an eecient numerical procedure for evaluating the function to...

Radiative transfer and flux theory

The fundamental phenomenological equations of radiative transfer, e.g., Lambert's cosine rule and the radiant transport equation, are derived from an analysis based on the Cauchy flux theory of continuum mechanics. For the classical case, where the radiance is distributed regularly over the unit sphere, it is shown that Lambert's rule follows from a balance law for the transfer of radiative pow...

MEMS, Field-Emitter, Thermal, and Fluidic Devices