Cauchy, Augustin

Caesar Julius, 889 Calais Jean-Louis, 441 Calcaterra Lidia T., 954 Car Roberto, 377 Casida Mark E., 706 Cauchy Augustin Louis, 129,elO-ell... 

From this kind of continuum mechanics one can move further towards the domain of almost pure mathematics until one reaches the field of rational mechanics, which harks back to Joseph Lagrange s (1736-1813) mechanics of rigid bodies and to earlier mathematicians such as Leonhard Euler (1707-1783) and later ones such as Augustin Cauchy (1789-1857), who developed the mechanics of deformable bodies. The preeminent exponent of this kind of continuum mechanics was probably Clifford Truesdell in Baltimore. An example of his extensive writings is A First Course in... 

The concept of a group had been introduced by Galois in his work on the theory of equations and this was followed up by Baron Augustin Louis Cauchy (1789-1857) who went on to originate the theory of permutation groups. Other early workers in group theory were. Arthur Cayley (1821-95) who defined the general abstract mup as we now... 

The methods used to ensure that the Fourier summation does not give a negative electron-density map are mathematical in nature. David Harker and John Kasper in 1948 used the inequality relationships of Augustin Louis Cauchy, Hermann Amandus Schwarz, and Victor Buniakowsky [Buniakovski] (generalized to the Cauchy—Schwarz inequality) to derive relationships between the structure factors (the Harker—Kasper inequalities). These were used by David Harker. John Kasper, and Charlys Lucht to determine the structure of decab-orane, BioH, which was unknown at that time. For this study they... 

Cauchy s Equation n An empirical relationship between the refi-active index and wavelength of light for a particular transparent material. It is named for the mathematician Augustin Louis Cauchy, who defined it in 1836. 

Sellmeier Equation An empirical relationship between refractive index and wavelength for a particular transparent medium. The equation is used to determine the dispersion of light in the medium. It was first proposed in 1871 hy W. Selhneier, and was a development of the work of Augustin Cauchy on Cauchy s equation for modeling dispersion. 

This frequency-type distribution, also called a Lorentz distribution or a Cauchy distribution (named after Hendrick Lorentz and Augustin Cauchy), is applied when describing events that exhibit a truly symmetric array of possible outcomes as in forced resonance, i.e. that due to homogeneous broadening. As a result, these distributions have a narrower FWHM but wider tails than comparative Gaussian distributions and do not have a distinct mean value nor a (the latter is defined from the former). 

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