This article is a longer reflection on Frank Cunningham's Ideas in Context light of the pragmatic philosophy John Dewey.

The aim of this work is to describe main aspects of the modern theory of fractional differential equations, to present elements of classification of fractional differential equations, to formulate basic components of investigations related to fractional differential equations, to pose some open problems in the study of fractional differential equations. A survey of results by S.G. Samko on diff...

held a two day international conference from 10-12 th June 2009, in Frank Pantridge's honour. It began with a review of the Department's cardiovascular disease research programme which was initiated when Frank Pantridge established Mobile Coronary Care in Belfast in 1966. It was Frank Pantridge's development of the portable defibrillator which had made Mobile Coronary Care feasible. Soon afterw...

Currently, Land Operation Division is using computer generated forces to conduct operation analysis studies. Intelligent Agents can potentially reduce the overhead on such experiments and studies by reducing the amount of human resources needed. Command Agents, which are an external software agent to the wargame simulation, can take the raw data, work out the context, plan how to carry out the ...

We describe a theoretical model of spatial representation in cortex, including computer simulations, that is compatible with data from single neuron recordings. Our proposed architecture, called a sinusoidal array, encodes a polar vector ~ v = (r;) as distributed activity across a neuronal population. We demonstrate how sinusoidal arrays might be used for vector computations such as addition, s...

This note addresses the following problem posed by S . M. Ulam. Find a concise expression for the number of classes of sets of n indistinguishable elements . Here, a class of sets is a set whose members are subsets of a given finite set of n elements, and referring to the elements as indistinguishable means that two classes are identical if some permutation on the elements transforms one class ...

We present some inequalities of Ostrowski and trapezoid type with complex exponential weight, for complex-valued absolutely continuous functions. These inequalities are related to Pompeiu’s mean value theorem. Special cases of these inequalities are applied to obtain (i) some approximation results for the finite Fourier and Laplace transforms; (ii) refinements of the Ostrowski and trapezoid ine...

Discrete versions of Ostrowski’s inequality for vectors in normed linear spaces are given.

In this paper, we propose an adaptation of the Parzen Rosenblatt cumulative distribution function estimator that uses maxitive kernels. The result of this estimator, on every point of the domain of F , the cumulative distribution to be estimated, is interval valued instead of punctual valued. We prove the consistency of our approach with the classical Parzen Rosenblatt estimator, since, accordi...