Instability considerations for various difference equations derived from the diffusion equation,

"Prepared for American Mathematical Society Meeting, Los Angeles, California, Nov. 27, 1954."

A history of the mathematical theory of probability from the time of Pascal to that of Laplace.

Mode of access: Internet.

Die sogenannte Kant-Laplace'sche weltentstehungs-theorie und die schöpfungsgeschichte der Bibel ...

Mode of access: Internet.

The clerk's guide, or, Commercial correspondence; comprising letters of business, forms of bills, invoices, account-sales, and an appendix, containing advice to young tradesmen and shopkeepers, equation of payments, commercial terms, &c.

With this is bound: Foster, B. F. Prospectus of the Commercial Academy, no. 183 Broadway, N. Y., conducted by B. F. Foster ... New York, 1837.

A practical summary of the law and usage of bills of exchange and promissory notes [microform] : together with a series of tables, showing when bills, notes and drafts, drawn or accepted at any date, will fall due : to which are added rates of commisson and storage, equation of payments, and general information connected with the business of the counting-house /

Mode of access: Internet.

Theory of UHF and microwave measurements using the power equation concept. /

Includes bibliographical references (p. 51-52).

Oeuvres de Laplace.

t.1-5. Traité de mécanique céleste.--t.6. Exposition du système du monde.--t.7. Théorie analytique des probabilités.

Solution of the equation of secular variation by a method due to Hermite ...

Thesis (PH.D.)--University of Virginia, 1916.

Oeuvres complètes de Laplace, publiées sous les auspices de l'Académie des sciences,

"Cette nouvelle édition des Oeuvres de Laplace ... réunit, pour la première fois, aux divers ouvrages compris dans les éditions précédentes, la collection des Mémoires de l'illustre astronome, rangée par ordre chronologique."--Advertissement.

Profits, concessions, and the wage equation /

Includes bibliographical references.

"The equation of exchange" for 1912, and forecast,

"Reprinted from the American economic review, June, 1983"

The stochastic Gross-Pitaevskii equation: II

We provide a derivation of a more accurate version of the stochastic Gross-Pitaevskii equation, as introduced by Gardiner et al (2002 J. Phys. B: At. Mol. Opt. Phys. 35 1555). This derivation does not rely on the concept of local energy and momentum conservation and is based on a quasiclassical Wigner function representation of a 'high temperature' master equation for a Bose gas, which includes only modes below an energy cut-off ER that are sufficiently highly occupied (the condensate band). The modes above this cutoff (the non-condensate band) are treated as being essentially thermalized. The interaction between these two bands, known as growth and scattering processes, provides noise and damping terms in the equation of motion for the condensate band, which we call the stochastic Gross-Pitaevskii equation. This approach is distinguished by the control of the approximations made in its derivation and by the feasibility of its numerical implementation.

High-pressure adsorption of supercritical gases on activated carbons: An improved approach based on the density functional theory and the bender equation of state

Adsorption of nitrogen, argon, methane, and carbon dioxide on activated carbon Norit R1 over a wide range of pressure (up to 50 MPa) at temperatures from 298 to 343 K (supercritical conditions) is analyzed by means of the density functional theory modified by incorporating the Bender equation of state, which describes the bulk phase properties with very high accuracy. It has allowed us to precisely describe the experimental data of carbon dioxide adsorption slightly above and below its critical temperatures. The pore size distribution (PSD) obtained with supercritical gases at ambient temperatures compares reasonably well with the PSD obtained with subcritical nitrogen at 77 K. Our approach does not require the skeletal density of activated carbon from helium adsorption measurements to calculate excess adsorption. Instead, this density is treated as a fitting parameter, and in all cases its values are found to fall into a very narrow range close to 2000 kg/m(3). It was shown that in the case of high-pressure adsorption of supercritical gases the PSD could be reliably obtained for the range of pore width between 0.6 and 3 run. All wider pores can be reliably characterized only in terms of surface area as their corresponding excess local isotherms are the same over a practical range of pressure.