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Let f be a holomorphic self-map of the unit disc. We show that if log(1 − | f (z)|) is integrable on a sub-arc of the unit circle, I , then the set of points where the function f has finite Carathéodory angular derivative on I is a countable union of Beurling–Carleson sets of finite entropy. Conversely, given a countable union of Beurling–Carleson sets, E , we construct a holomorphic self-map of t
This work presents a statistical approach for estimating and analyzing the downward transport pattern and distribution of soil water by the use of pattern analysis of space-time correlation structures. This approach, called the Space-time Correlation Field, is mainly based on the analyses of correlation functions simultaneously in the space and time domain.The overall purpose of this work is to de
This Letter introduces a novel, to the best of our knowledge, method for assessing fruit quality using white-light biospeckle displacement analysis. The primary aim is to demonstrate that speckle displacement behavior differs between healthy and decaying regions, offering a unique means of gauging bioactivity levels, a feature that has not been explored in previous biospeckle research. By examinin
A comprehensive treatise for methods for fatigue estimation and fatigue life prediction in randomly excited structural systems using th rainflow cycle counting method
We will consider a vector-valued Sturm-Liouville equation of the form R[U]:=-(PU')(')+QU=lambdaWU, xis an element of[0,b), with P-1, W, Qis an element ofL(loc)(1)([0,b))(mxm) being Hermitian and under some additional conditions on P-1 and W. We give an elementary deduction of the leading order term asymptotics for the Titchmarsh-Weyl M-function corresponding to this equation. In the special case o
A new algorithm, based on embedding phase space, to detect the P-wave characteristic points of an ECG signal is reported in this paper. The multi-lead ECG is transformed into points of an embedding phase space where similar ECG morphologies are converted into phase space points that are close using some distance measure. The algorithm is robust with respect to the type of selected characteristic p
The cautious regulator based on one-step minimization of a quadratic loss function is easy to derive and seems to work well in many cases. A serious draw-back, however, is the possibility for turn-off. The present report is a small simulation study of a simple turn-off reducing scheme.This work was supported by the Swedish Board for Technical Developmentunder contract No. 7643804.
A car-borne NaI(TI) spectrometric system was used together with a Cs-137 source to obtain realistic data in the search for unshielded and semi-shielded orphan sources. The potassium-stripped counts (PSC) method was used to estimate the influence by the shielding on the detection ability. A reduction of about 5% in the critical distance was obtained for the semi-shielded source. A curve fitting met
Corrosion is the main factor limiting the lifetime of metallic materials, and a fundamental understanding of the governing mechanism and surface processes is difficult to achieve since the thin oxide films at the metal–liquid interface governing passivity are notoriously challenging to study. In this work, a combination of synchrotron-based techniques and electrochemical methods is used to investi
We consider a class of weighted harmonic functions in the open upper half-plane known as α-harmonic functions. Of particular interest is the uniqueness problem for such functions subject to a vanishing Dirichlet boundary value on the real line and an appropriate vanishing condition at infinity. We find that the non-classical case (α ≠ 0) allows for a considerably more relaxed vanishing condition a
This paper considers how the challenges underpinning sustainable development are likely to impact on duty-and tax-free retailing in airports and, by implication, in the entire aviation industry. The paper defines the role of retail as a vital source of airport revenues, before considering the carbon consequences of the sector’s incumbent business models. It finds that products taken onto aircraft
Förekomst av farliga ämnen i byggnader medför betydande osäkerheter i projektplanering och budgetuppskattning och innebär hälso och säkerhetsrisk för de boende och för arbetstagare som är involverade i renoverings- och rivningsaktiviteter. Det är praxis inom svenska byggprojekt att avsätta ungefär 15% av budgeten för att hantera oväntade risker av farliga ämnen och oförutsedda händelser. De faktis
We present here a version of the existence and uniqueness result of time periodic solutions to the viscous Burgers' equation with irregular forcing terms (with Sobolev regularity -1 in space). The key result here is an a priori estimate which is simpler than the previously treated case of forcing terms with regularity -1/2 in time.
Next generation wireless systems have to be able to efficiently deal with fast fading environments in order to achieve high spectral efficiency. Using multiple-input multiple-output (MIMO) systems and exploiting receive diversity, their spectral efficiency can be greatly increased. Commonly, the channel is estimated via training symbols, before the data detection is carried out based on the previo
