Some new multidimensional Hardy-type inequalites are proved and discussed. The cases with bilinear and iterated operators are considered and some equivalence theorems are proved.

Transition curves are a useful tool for lateral alignment of railway segments. Their design is important to ensure safe and comfortable travel for passengers and cargo. Well designed transition curves can lead to reduced wear of tracks and vehicles, which is beneficial from a maintenance point of view. Extensive studies have been performed through decades to find transition curves that can replace ...

In this paper we derive a new strong convergence theorem of Riesz logarithmic means of the one-dimensional Vilenkin–Fourier (Walsh–Fourier) series. The corresponding inequality is pointed out and it is also proved that the inequality is in a sense sharp, at least for the case with Walsh–Fourier series.

The muscular tissue of the heart is able to contract in the absence of external load. This behaviour is stimulated by a spontaneous electrical depolarization of cardiac cells in the sinoatrial node, which spreads electrical activation through the whole heart, that triggers the synchronized mechanical contraction of the heart muscle. This phenomenon, referred to as active contraction is commonly ...

For the master of Engineering Design at UiT, the arctic university of Norway, campus Narvik, a master assignment is being executed as a conclusion to the study. In this case the department of industrial automation education had an elevator model design assignment that could be done by an Engineering Design student. This report describes a summary of the design process that has been executed and the ...

With today's storage of information moving from paper to physical hard drives and the cloud, safety of these new information platforms are of great importance. Today an average server suffers several instances of abuse weekly, or even daily. The purpose of this project is to design a system for detecting abusive data traffic coming to or from a server by using machine learning algorithms. Also of ...

This thesis describes results of study into development of a Visual Speech Therapy tool for therapy of speech impediments. It describes what Visual Speech Therapy tools are, their benefits, and what tools are available on the market. Main focus being therapy for children and teenagers with dysarthria, hearing problems, and functional speech impediments. After introducing the therapy tools it presents ...

Infinitely many, even scales of, equivalent conditions are derived to characterize the bilinear Hardy-type inequality under various ranges of parameters.

The paper deals with homogenization of Lévy-type operators with rapidly oscillating coefficients. We consider cases of periodic and random statistically homogeneous micro-structures and show that in the limit we obtain a Lévy-operator. In the periodic case we study both symmetric and non-symmetric kernels whereas in the random case we only investigate symmetric kernels. We also address a nonlinear ...

The development of the C++ programming language and its standard library has undergone a renaissance since the introduction of the C++11 standard, making the language more relevant than ever, through modern features, simplification and expansion of the standard library. Comparing past and future feature sets (C++17, C++20, ...) similar to comparing different programming languages. In this article ...