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Abstract  

The absolute values of the Debye-Waller factors /f/ for iron-amine-chloride systems /where amine=pyrazine, pyridine, 3-CN- and 5-CN-pyridine/ were determined at room temperature. The polymeric effect is interpreted in terms of Debye-Waller factors and resulting mean square displacements <x2>.

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Abstract  

The mean squared slowing-down distance, <r 2>, and the age to themal capture (Migration Area),M 2, are direct measures of the slowing-down, and the spreading out, processes of neutrons in a medium. They also enter directly into reactor calculations. These parameters have been determined experimentally for Am-Be neutrons (mean energy 4.46 Me V), in a block of perpex, using the activities induced in thin indium foils from the115In(n,)116In reactions.

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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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. The problem of selection of initial seeds is also addressed here and the quality of the overlapping biclusters is refined based on mean squared residue. Moreover, the proposed approach allows us to profit from the major advantages of rough methods [15

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different output variables were selected, which are the Root Mean Square (RMS) of acceleration, the maximum amplitude of acceleration and the peak frequency. These variables are widely used in vibration measurement and can be easily measured with

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compared for better results. The best prediction result can be derived from this analysis. The comparison can be made with the help of errors obtained in each model, namely Mean Square Error (MSE), Root Mean Square Error (RMSE) and Mean Absolute Percentage

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epidemic of DHF would occur in October 2015 by the seventh interpretation rule with the forecasted number of DHF (257 cases) and root-mean-squared error (RMSE = 46.71), as illustrated in Fig.  1 . The forecasted number of DHF cases from January 2014 to

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