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Aistleitner, C. , On the law of the iterated logarithm for the discrepancy of lacunary sequences, Trans. Amer. Math. Soc. , 362 (2010), no. 11, 5967–5982. MR 2661504

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 al., 2016 ; Bányai et al., 2017 ). No study has investigated the relationships between masculine discrepancy/discrepancy stress and addictive use of SNS. We investigated how masculine role discrepancy, masculine role discrepancy stress, and self-esteem may

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328 Brualdi, R.A. and J.G. Sanderson. 1999. Nested species subsets, gaps, and discrepancy. Oecologia 119: 256–264. Sanderson J

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., Morganti, A. L. C., Montenegro, M. R. G.: Discrepancies between clinical diagnoses and autopsy findings. Brasil. J. Med. Biol. Res., 2007, 36 , 385–391. Montenegro M. R. G

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Abstract  

It is proved that two types of discrepancies of the sequence {θ n x} obey the law of the iterated logarithm with the same constant. The appearing constants are calculated explicitly for most of θ > 1.

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Abstract  

For any unbounded sequence {n k} of positive real numbers, there exists a permutation {n σ(k)} such that the discrepancies of {n σ(k) x} obey the law of the iterated logarithm exactly in the same way as the uniform i.i.d. sequence {U k}.

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The opinions of people are expected to forecast their actions, and even major economic institutions rely on this correlation. This research paper examines a case when the opinion of people about their financial situation contradicts their financial-related actions. In 2012 in Hungary the general opinion of people about their financial situation was showing the lowest confidence in the world, with a significant declining trend, reaching an extremely low level. Although the general expectation would be that this pessimism triggers a set-back in consumer spending, figures show that Hungarians were on the other end of the scale regarding their expenditures and were greatly increasing their spending. This raises the question: why do people say they are in such a tough financial situation yet instead of saving they increase their spending? This paper presents a cross-country analysis that reviews the severity of this discrepancy, as well as proves the validity of the question by excluding several alternative explanations, followed by a recommendation and hypotheses for a detailed research to explain the phenomenon.

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Abstract  

For positive constants a > b > 0, let P T (t) denote the lattice point discrepancy of the body tT a,b, where t is a large real parameter and T = T a,b is bounded by the surface

\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\partial \tau _{a,b} :\left( {\begin{array}{*{20}c} x \\ y \\ z \\ \end{array} } \right) = \left( {\begin{array}{*{20}c} {(a + b\cos \alpha )\cos \beta } \\ {(a + b\cos \alpha )\sin \beta } \\ {b\sin \alpha } \\ \end{array} } \right), 0 \leqq \alpha ,\beta < 2\pi .$$ \end{document}
In a previous paper [12] it has been proved that
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$P_\tau (t) = \mathcal{F}_{a,b} (t)t^{3/2} + \Delta _\tau (t),$$ \end{document}
where F a,b(t) is an explicit continuous periodic function, and the remainder satisfies the (“pointwise”) estimate ΔT(t) ≪ t 11/8+ɛ. Here it will be shown that this error term is only ≪ t 1+ɛ in mean-square, i.e., that
\documentclass{aastex} \usepackage{amsbsy} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{bm} \usepackage{mathrsfs} \usepackage{pifont} \usepackage{stmaryrd} \usepackage{textcomp} \usepackage{upgreek} \usepackage{portland,xspace} \usepackage{amsmath,amsxtra} \usepackage{bbm} \pagestyle{empty} \DeclareMathSizes{10}{9}{7}{6} \begin{document} $$\int\limits_0^T {(\Delta _\tau (t))^2 dt} \ll T^{3 + \varepsilon }$$ \end{document}
for any ɛ > 0.

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Acta Microbiologica et Immunologica Hungarica
Authors: Károly Péter Sárvári, József Sóki, Miklós Iván, Cecilia Miszti, Krisztina Latkóczy, Szilvia Zsóka Melegh, and Edit Urbán

value range of 1.855–2.458 were confirmed by 16S rRNA gene sequencing method and rapid ID 32A. These isolates with discrepancy according to the reidentification in Szeged are 4 B. fragilis and 17 non- B. fragilis strains (seven B. thetaiotaomicron

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