Vegetable materia medica of the United States, or, Medical botany :containing a botanical, general, and medical history of medicinal plants indigenous to the United States. Illustrated by coloured engravings, made after drawings from nature, done by the author /by William P.C. Barton.

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Illustrations of British mycology, containing figures and descriptions of the funguses of interest and novelty indigenous to Britain. By Mrs. T.J. Hussey ...

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Embedding theorems of funcitional classes, III

In this paper we obtain the necessary and sufficient conditions for embedding results of different function classes. The main result is a criterion for embedding theorems for the so-called generalized Weyl-Nikol'skii class and the generalized Lipschitz class. To define the Weyl-Nikol'skii class, we use the concept of a (λ,β)-derivative, which is a generalization of the derivative in the sense of Weyl. As corollaries, we give estimates of norms and moduli of smoothness of transformed Fourier series.

Embedding theorems of function classes, IV

Vegeu el resum a l'inici del document del fitxer adjunt

Embedding theorems of function classes, II

Vegeu el resum a l'inici del document del fitxer adjunt.

Contractive metrics for a Boltzmann equation for granular gases: diffusive equilibriaThe Patterson-Sullivan embedding and minimal volume entropy for outer space

We quantify the long-time behavior of a system of (partially) inelastic particles in a stochastic thermostat by means of the contractivity of a suitable metric in the set of probability measures. Existence, uniqueness, boundedness of moments and regularity of a steady state are derived from this basic property. The solutions of the kinetic model are proved to converge exponentially as t→ ∞ to this diffusive equilibrium in this distance metrizing the weak convergence of measures. Then, we prove a uniform bound in time on Sobolev norms of the solution, provided the initial data has a finite norm in the corresponding Sobolev space. These results are then combined, using interpolation inequalities, to obtain exponential convergence to the diffusive equilibrium in the strong L¹-norm, as well as various Sobolev norms.

The Patterson-Sullivan embedding and minimal volume entropy for outer space

"Vegeu el resum a l'inici del document del fitxer adjunt."

Embedding theorems of function classes, I

"Vegeu el resum a l'inici del document del fitxer adjunt."

Hortus Jamaicensis, or A botanical description (according to the Linnean system) and an account of the virtues, &c., of its indigenous plants hitherto known, as also of the most useful exotics. Compiled from the best authorities, and alphabetically arranged.

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Hortus Jamaicensis, or A botanical description (according to the Linnean system) and an account of the virtues, &c., of its indigenous plants hitherto known, as also of the most useful exotics. Compiled from the best authorities, and alphabetically arranged.

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