Displaying similar documents to “Generalized Sommerfeld half-plane problems”

On the measurement of the activity of a radioactive source and a related stochastic process.

J. M. F. Chamayou (1981)

Stochastica

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A method is presented to compute the activity of a radioactive source. The principle of the method is based on the tuning of b, the time constant of the RC circuit of the detector with l being the rate of emission of the source, using a statistical argument. The stochastical process involved refers to the distribution of the following random voltage: Vt = ∑(0 < ti ≤ t) Yi c-b(t...

Wajsberg algebras.

Josep M. Font, Antonio J. Rodríguez, Antoni Torrens (1984)

Stochastica

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We present the basic theory of the most natural algebraic counterpart of the ℵ-valued Lukasiewicz calculus, strictly logically formulated. After showing its lattice structure and its relation to C. C. Chang's MV-algebras we study the implicative filters and prove its equivalence to congruence relations. We present some properties of the variety of all Wajsberg algebras, among which there is a representation theorem. Finally we give some characterizations of linear, simple and semisimple...

Electronic properties of disclinated nanostructured cylinders

R. Pincak, J. Smotlacha, M. Pudlak (2013)

Nanoscale Systems: Mathematical Modeling, Theory and Applications

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The electronic structure of the nanocylinder is investigated. Two cases of this kind of the nanostructure are explored: the defect-free nanocylinder and the nanocylinder whose geometry is perturbed by 2 heptagonal defects lying on the opposite sides. The characteristic quantity which is of our interest is the local density of states. To calculate it, the continuum gauge field-theory model will be used. In this model, the Dirac-like equation is solved on a curved surface. This procedure...

On order and morphisms related to a Sheffer stroke.

Enric Trillas, V. Pawlowsky (1983)

Stochastica

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This paper deals with a new interpretation of a special functional characterisation of Sheffer strokes, with the study of morphisms and the construction of different De Morgan Algebras on a given set.

Prediction of time series by statistical learning: general losses and fast rates

Pierre Alquier, Xiaoyin Li, Olivier Wintenberger (2013)

Dependence Modeling

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We establish rates of convergences in statistical learning for time series forecasting. Using the PAC-Bayesian approach, slow rates of convergence √ d/n for the Gibbs estimator under the absolute loss were given in a previous work [7], where n is the sample size and d the dimension of the set of predictors. Under the same weak dependence conditions, we extend this result to any convex Lipschitz loss function. We also identify a condition on the parameter space that ensures similar rates...