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By using the generalized Littlewood theorem about a contour integral involving the logarithm of an analytic function, we show how an infinite number of integral equalities involving integrals of the logarithm of the Riemann zeta-function and equivalent to ...
The convergence and efficiency of the reduced basis method used for the approximation of the solutions to a class of problems written as a parametrized PDE depends heavily on the choice of the elements that constitute the "reduced basis". The purpose of th ...
Water temperature is one of the most important abiotic variables in streams and strongly influences the distribution and abundance of freshwater organisms. It might be assumed that in natural streams home to heterogenous habitats also a wide range of therm ...
In this paper we give a preview of our system for automatically evaluating attention in the classroom. We demonstrate our current behaviour metrics and preliminary observations on how they reflect the reactions of people to the given lecture. We also intro ...
An agent that deviates from a usual or previous course of action can be said to display novel or varying behaviour. Novelty of behaviour can be seen as the result of real or apparent randomness in decision making, which prevents an agent from repeating exa ...
Let d(n) denote Dirichlet's divisor function for positive integer numbers. This work is primarily concerned with the study of We are interested, in the error term where Ρ3 is a polynomial of degree 3 ; more precisely xΡ3(log x) is the residue of in s = 1. ...
Voids are often present in composite materials and have, as may be expected, negative effects on the mechanical properties. As a consequence, it is regarded to be important to optimise manufacturing techniques of composite materials towards minimum void co ...
{What is a Negative Result?} In a sense, well-designed experiments never have a completely negative result, since there is always the opportunity to learn something. In fact, unexpected results by definition provide the most information. Conventionally, ne ...
Migraine often co-occurs with patent foramen ovale (PFO), and some people have suggested surgical closure as an efficient treatment for migraine. Prospective studies, however, do not report radical effect of PFO surgery on migraine. Here, we examined the h ...
When a figure moves behind a stationary narrow slit, observers often report seeing the figure as an integrated whole, a phenomenon known as slit viewing or anorthoscopic perception. Interestingly, in slit viewing, the figure is perceived compressed along t ...
