A treatise upon analytical mechanics : being the first book of the Mécanique céleste /

On spine: Laplace's mechanics.

Œuvres /

"Notice sur la vie et les ouvrages de ... Lagrange par M. Delambre"; t. 1, introduction pages 9-51.

Oeuvres

Mode of access: Internet.

Histoire des sciences mathématiques et physiques /

[Full name: Charles Françoise Maximilien Marie]

L'unità d'origine del linguaggio. (Ristampa fotostatica) Con presentazione e nota biografica e bibliografica.

Mode of access: Internet.

Mécanique céleste.

On t.-p. of v. 4: With a memoir of the translator, by his son, Nathaniel Ingersoll Bowditch. Boston, C.C. Little and J. Brown.

Précis de l'histoire de l'astronomie /

"Le précis ... forme le livre V de la cinquième édition de mon Exposition du système du monde"--P. [v].

Philosophischer Versuch über die Wahrscheinlichkeit /

Mode of access: Internet.

Gli sponsali de Galeazzo Maria Sforza, MCCCCL-MCCCCLXVII /

"Registro dei documenti citati": p. [39]-46.

Traité d'analyse /

t. 1. Intégrales simples et multiples. Lʼéquation de Laplace et ses applications. Développments in séries. Applications géométriques du calcul infinitésimal.

Œuvres complètes de Regnard.

Mode of access: Internet.

Journal de l'École polytechnique.

Cahiers 7-10 were originally intended to comprise "Mécanique philosophique, par R. Prony" in 5 parts, but only the first 3 parts were published, forming cah. 7-8. Later, Prony's work was withdrawn from the series and in its place "Leçons de mathématiques données à l'École normale en 1795" by Legrange and Laplace were published as cah. 7-8.

Storia della facciata de S. Maria del Fiore in Firenze.

Text signed: Luca Beltrami.

Diffusion modeling of percutaneous absorption kinetics: 3. Variable diffusion and partition coefficients, consequences for stratum corneum depth profiles and desorption kinetics

Stratum corneum (SC) desorption experiments have yielded higher calculated steady-state fluxes than those obtained by epidermal penetration studies. A possible explanation of this result is a variable diffusion or partition coefficient across the SC. We therefore developed the diffusion model for percutaneous penetration and desorption to study the effects of either a variable diffusion coefficient or variable partition coefficient in the SC over the diffusion path length. Steady-state flux, lag time, and mean desorption time were obtained from Laplace domain solutions. Numerical inversion of the Laplace domain solutions was used for simulations of solute concentration-distance and amount penetrated (desorbed)-time profiles. Diffusion and partition coefficients heterogeneity were examined using six different models. The effect of heterogeneity on predicted flux from desorption studies was compared with that obtained in permeation studies. Partition coefficient heterogeneity had a more profound effect on predicted fluxes than diffusion coefficient heterogeneity. Concentration-distance profiles show even larger dependence on heterogeneity, which is consistent with experimental tape-stripping data reported for clobetasol propionate and other solutes. The clobetasol propionate tape-stripping data were most consistent with the partition coefficient decreasing exponentially for half the SC and then becoming a constant for the remaining SC. (C) 2004 Wiley-Liss, Inc.

Transient bending of a piezoelectric circular plate

Thin, piezoelectric circular plates are frequently used as active components in transducer and smart materials applications. This paper reports on the exact, explicit solution for the transient motion of a piezoelectric circular plate, built-in or simply supported on the edge and electrically grounded over the entire surface. Expressed by elementary Bessel functions and obtained via exact inverse Laplace transforms, the solution enables the efficient calculation of accurate system parameters. (C) 2004 Elsevier Ltd. All rights reserved.