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Zeitschriftenartikel zum Thema „Negative moments“

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Veröffentlicht am 16. Dezember 2023

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1

Ouimet, Frédéric. „Moments of the Negative Multinomial Distribution“. Mathematical and Computational Applications 28, Nr. 4 (24.07.2023): 85. http://dx.doi.org/10.3390/mca28040085.

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The negative multinomial distribution appears in many areas of applications such as polarimetric image processing and the analysis of longitudinal count data. In previous studies, general formulas for the falling factorial moments and cumulants of the negative multinomial distribution were obtained. However, despite the availability of the moment generating function, no comprehensive formulas for the moments have been calculated thus far. This paper addresses this gap by presenting general formulas for both central and non-central moments of the negative multinomial distribution. These formulas are expressed in terms of binomial coefficients and Stirling numbers of the second kind. Utilizing these formulas, we provide explicit expressions for all central moments up to the fourth order and all non-central moments up to the eighth order.

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2

Hassan, Anwar, und Sheikh Bilal. „On Some Negative Integer Moments of Quasi-Negative-Binomial Distribution“. Journal of Modern Applied Statistical Methods 11, Nr. 2 (01.11.2012): 368–77. http://dx.doi.org/10.22237/jmasm/1351742880.

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3

Thistle, Paul D. „Negative Moments, Risk Aversion, and Stochastic Dominance“. Journal of Financial and Quantitative Analysis 28, Nr. 2 (Juni 1993): 301. http://dx.doi.org/10.2307/2331292.

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4

Jones, M. C. „C245. Inverse moments of negative- binomial distributions“. Journal of Statistical Computation and Simulation 23, Nr. 3 (Januar 1986): 241–43. http://dx.doi.org/10.1080/00949658608810874.

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5

AL-Karawi, Wisam, Abdullah A. Talal, Baidaa N. Hassan und Khattab S. Abdul-Razzaq. „Reinforced Concrete Circular T-Shaped Deep Beams – Finite Element Investigation“. Diyala Journal of Engineering Sciences 14, Nr. 4 (06.12.2021): 98–112. http://dx.doi.org/10.24237/djes.2021.14409.

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The current work investigates the behavior and strength of T-shaped cross section ring deep beams through a Finite element parametric study. Currently, ring diameter, loading type, concrete compressive strength and number of supports are taken into consideration. It is found that increasing ring diameter of beam by 12.5-25% leads to increase the maximum positive moment, maximum negative moment, maximum torsional moment and midspan deflection by 1.1-2.2%, 2.2-4.3%, 3-6% and 16-33%, respectively, while the load ultimate capacity increases by 11-17%. The positive and torsional moments at midspan and midspan deflection decrease by 23-36%, 3-11% and 6-14%, respectively when the loading type varies from concentered to full uniformly load over a span length of 33, 50, 67 and 100%, respectively. In a related context, this change in load type leads the negative moment at support and the load ultimate capacity to increase by 2-21% and 6-85%, respectively. The midspan positive moment, negative moment, torsional moment and load ultimate capacity increase by 20.4-71.3%, 20-69.7%, 15.6-43.8% and 21-73%, respectively, whereas deflection decreases by 1.4-11%, when increasing the compressive concrete strength by 45-190%. Finally, it is found that the load ultimate capacity increases by 82-348%, when number of supports increases by 25-100%, while torsional moment, maximum positive moments, maximum negative moments and midspan deflection decrease by 11-50%, 38-76.4%, 38.6-76.8% and 14-39%, respectively due to this increase in the number of supports.

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6

Hosny, Abdelhadi, Ezzeldin Yazeed Sayed-Ahmed, Amr Ali Abdelrahman und Naser Ahmed Alhlaby. „Strengthening precast-prestressed hollow core slabs to resist negative moments using carbon fibre reinforced polymer strips: an experimental investigation and a critical review of Canadian Standards Association S806-02“. Canadian Journal of Civil Engineering 33, Nr. 8 (01.08.2006): 955–67. http://dx.doi.org/10.1139/l06-040.

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Behaviour of precast-prestressed hollow core slabs has been extensively studied when these slabs are subjected to positive bending moments, a practical application typical of hollow core slabs. However, in many projects it may be required to have an overhanging part of the roof to act as a cantilever. In doing so, and using precast-prestressed hollow core slabs, the slabs would be subjected to negative moments, atypical for hollow core slabs. In this paper, the behaviour of precast-prestressed hollow core slabs is experimentally investigated when they are subjected to negative bending moments. A proposed strengthening detail to increase the negative moment resistance of hollow core slabs using bonded carbon fibre reinforced polymer (CFRP) strips is presented. The CFRP strips were bonded to the top side of full-scale precast-prestressed hollow core slabs in the negative moment zone in different configurations. In two of the tested slabs the bond between the prestressing strands and the concrete was initially broken (during casting of the slabs) in the negative moment zone. The slabs with the bonded CFRP strips were tested to failure and the load–deflection behaviour was recorded. The results of the tests are presented and the strength enhancement of the hollow core slabs using the proposed technique is reported. The increase in the negative moment resistance of the CFRP-bonded hollow core slabs experimentally determined is also compared with the CSA-S806-02 prediction for the moment resistance of concrete elements with bonded CFRP strips.Key words: carbon fibre reinforced polymer (CFRP) strips, hollow core slab, flexure strengthening, prestressed concrete, precast slabs, prestressing strands.

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7

Floris, Claudio. „Stochastic Stability of Damped Mathieu Oscillator Parametrically Excited by a Gaussian Noise“. Mathematical Problems in Engineering 2012 (2012): 1–18. http://dx.doi.org/10.1155/2012/375913.

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This paper analyzes the stochastic stability of a damped Mathieu oscillator subjected to a parametric excitation of the form of a stationary Gaussian process, which may be both white and coloured. By applying deterministic and stochastic averaging, two Itô’s differential equations are retrieved. Reference is made to stochastic stability in moments. The differential equations ruling the response statistical moment evolution are written by means of Itô’s differential rule. A necessary and sufficient condition of stability in the moments of orderris that the matrixArof the coefficients of the ODE system ruling them has negative real eigenvalues and complex eigenvalues with negative real parts. Because of the linearity of the system the stability of the first two moments is the strongest condition of stability. In the case of the first moments (averages), critical values of the parameters are expressed analytically, while for the second moments the search for the critical values is made numerically. Some graphs are presented for representative cases.

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8

Dhaene, Jan, Bjørn Sundt und Nelson De Pril. „Some Moment Relations for the Hipp approximation“. ASTIN Bulletin 26, Nr. 1 (Mai 1996): 117–21. http://dx.doi.org/10.2143/ast.26.1.563237.

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AbstractIn the present note we consider the Hipp approximation to the convolution of a finite number of probability distributions on the non-negative integers. It is shown that the moment up to and including order r of the rth order approximation are equal to the corresponding moments of the exact distribution. We also give a relation between the exact and approximated (r + 1)th order moments and indicate how similar relations can be obtained for higher order moments.

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9

Aharony, A., R. Blumenfeld, P. Breton, B. Fourcade, A. B. Harris, Y. Meir und A. M. S. Tremblay. „Negative moments of currents in percolating resistor networks“. Physical Review B 40, Nr. 10 (01.10.1989): 7318–20. http://dx.doi.org/10.1103/physrevb.40.7318.

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10

Gonek, S. M. „On Negative Moments of the Riemann Zeta‐Function“. Mathematika 36, Nr. 1 (Juni 1989): 71–88. http://dx.doi.org/10.1112/s0025579300013589.

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11

Bowman, K. O., Marvin A. Kastenbaum und L. R. Shenton. „The negative hypergeometric distribution and estimation by moments“. Communications in Statistics - Simulation and Computation 21, Nr. 2 (1992): 301–32. http://dx.doi.org/10.1080/03610919208813021.

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12

Jones, C. Matthew, und Anatoly A. Zhigljavsky. „Approximating the negative moments of the Poisson distribution“. Statistics & Probability Letters 66, Nr. 2 (Januar 2004): 171–81. http://dx.doi.org/10.1016/j.spl.2003.09.006.

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13

Rincón, Luis. „A moment recursive formula for a class of distributions“. Revista de Matemática: Teoría y Aplicaciones 28, Nr. 2 (06.07.2021): 261–77. http://dx.doi.org/10.15517/rmta.v28i2.44507.

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We provide a recursive formula for the computation of moments of distributions belonging to a subclass of the exponential family. This subclass includes important cases as the binomial, negative binomial, Poisson, gamma and normal distribution, among others. The recursive formula provides a procedure to sequentially calculate the moments using only elementary operations. The approach makes no use of the moment generating function.

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14

Kytölä, Ulla, und Anssi Laaksonen. „Prediction of Restraint Moments in Precast, Prestressed Structures Made Continuous“. Nordic Concrete Research 59, Nr. 1 (01.12.2018): 73–93. http://dx.doi.org/10.2478/ncr-2018-0016.

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Abstract This paper studies restraint moments developing in simple-span precast, prestressed beams made continuous. Methods of evaluating restraint moments produced by creep and differential shrinkage are presented. Shrinkage and creep properties of composite structures, beam and deck parts were tested and compared to values defined according to Eurocode models. Finally, the restraint moments were calculated with both material models for the two-span parking deck structure. The study confirmed the findings of previous studies: that the methods that are used overestimate the negative restraint moment produced by differential shrinkage.

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15

Kryachko, Eugene S., und Toshikatsu Koga. „On classical theory of moments: Finite‐set‐of‐moments approach. I. Non‐negative distribution: Its even moments and Hankel transform“. Journal of Mathematical Physics 28, Nr. 1 (Januar 1987): 8–14. http://dx.doi.org/10.1063/1.527758.

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16

Abdia, Rachid, Ablehamid El Kaaouachi, Abdelhakim Nafidi, Gérard Biskupski und Jamal Hemine. „Negative magnetoresistance in insulating CdSe and localized magnetic moments“. Annales de chimie Science des Matériaux 33, Nr. 4 (30.08.2008): 351–56. http://dx.doi.org/10.3166/acsm.33.351-356.

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17

Kahng, Byungnam. „Negative moments of current distribution in random resistor networks“. Physical Review Letters 64, Nr. 8 (Februar 1990): 914–17. http://dx.doi.org/10.1103/physrevlett.64.914.

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18

onsul, P., und M. M. Shoukri. „The negative integer moments of the generalized poisson distribution“. Communications in Statistics - Simulation and Computation 15, Nr. 4 (1986): 1053–64. http://dx.doi.org/10.1080/03610918608812560.

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19

Shen, Zhongwei. „On Moments of Negative Eigenvalues for the Pauli Operator“. Journal of Differential Equations 149, Nr. 2 (November 1998): 292–327. http://dx.doi.org/10.1006/jdeq.1998.3473.

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20

Shen, Zhongwei. „On Moments of Negative Eigenvalues for the Pauli Operator“. Journal of Differential Equations 151, Nr. 2 (Januar 1999): 420–55. http://dx.doi.org/10.1006/jdeq.1998.3483.

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21

Egorov, Yu V., und V. A. Kondratiev. „On Moments of Negative Eigenvalues of an Elliptic Operator“. Mathematische Nachrichten 174, Nr. 1 (1995): 73–79. http://dx.doi.org/10.1002/mana.19951740107.

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22

Omair, Maha Ahmad, Fatimah E. AlMuhayfith und Abdulhamid A. Alzaid. „A Bivariate Model based on Compound Negative Binomial Distribution“. Revista Colombiana de Estadística 41, Nr. 1 (01.01.2018): 87–108. http://dx.doi.org/10.15446/rce.v41n1.57803.

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A new bivariate model is introduced by compounding negative binomial and geometric distributions. Distributional properties, including joint, marginal and conditional distributions are discussed. Expressions for the product moments, covariance and correlation coefficient are obtained. Some properties such as ordering, unimodality, monotonicity and self-decomposability are studied. Parameter estimators using the method of moments and maximum likelihood are derived. Applications to traffic accidents data are illustrated.

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23

van de Goor, Jacky, Anneke M. Sools, Gerben J. Westerhof und Ernst T. Bohlmeijer. „Wonderful Life: Exploring Wonder in Meaningful Moments“. Journal of Humanistic Psychology 60, Nr. 2 (14.03.2017): 147–67. http://dx.doi.org/10.1177/0022167817696837.

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In this article, we bring the study of meaning together with the emerging field of study focusing on the emotions of wonder: wonder, enchantment, awe, and being moved. It is in meaningful moments that these two meet, and in our empirical study, we used the emotions of wonder as a lens to investigate meaningful moments. We applied a novel intervention, the Wonderful Life question, to elicit narratives of meaningful moments from 100 participants varying in age, profession, and social status. Using characteristics of wonder retrieved from the wonder literature to qualitatively analyze these narratives, we identified five types of meaningful moments: opening up to life, facing the precarity of life, celebrations, countering the negative, and familiar routines. The study deepens insight in the way meaning is discovered in different types of meaningful moments. It supports the premise that there is potential meaning in any moment in life, and the mind-set of wonder enabling the discovery of meaning. Finally, it pleads for the use of the Wonderful Life question as a means to elicit a wide spectrum of meaningful moments.

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24

Shim, Jae Kun, Brendan S. Lay, Vladimir M. Zatsiorsky und Mark L. Latash. „Age-related changes in finger coordination in static prehension tasks“. Journal of Applied Physiology 97, Nr. 1 (Juli 2004): 213–24. http://dx.doi.org/10.1152/japplphysiol.00045.2004.

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We studied age-related changes in the performance of maximal and accurate submaximal force and moment production tasks. Elderly and young subjects pressed on six dimensional force sensors affixed to a handle with a T-shaped attachment. The weight of the whole system was counterbalanced with another load. During tasks that required the production of maximal force or maximal moment by all of the digits, young subjects were stronger than elderly. A greater age-related deficit was seen in the maximal moment production tests. During maximal force production tests, elderly subjects showed larger relative involvement of the index and middle fingers; they moved the point of thumb force application upward (toward the index and middle fingers), whereas the young subjects rolled the thumb downward. During accurate force/moment production trials, elderly persons were less accurate in the production of both total moment and total force. They produced higher antagonistic moments, i.e., moment by fingers that acted against the required direction of the total moment. Both young and elderly subjects showed negative covariation of finger forces across repetitions of a ramp force production task. In accurate moment production tasks, both groups showed negative covariation of two components of the total moment: those produced by the normal forces and those produced by the tangential forces. However, elderly persons showed lower values of the indexes of both finger force covariation and moment covariation. We conclude that age is associated with an impaired ability to produce both high moments and accurate time profiles of moments. This impairment goes beyond the well-documented deficits in finger and hand force production by elderly persons. It involves worse coordination of individual digit forces and of components of the total moment. Some atypical characteristics of finger forces may be viewed as adaptive to the increased variability in the force production with age.

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25

Wagner, Vincent, und Nicole Radde. „The impossible challenge of estimating non-existent moments of the Chemical Master Equation“. Bioinformatics 39, Supplement_1 (01.06.2023): i440—i447. http://dx.doi.org/10.1093/bioinformatics/btad205.

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Abstract Motivation The Chemical Master Equation (CME) is a set of linear differential equations that describes the evolution of the probability distribution on all possible configurations of a (bio-)chemical reaction system. Since the number of configurations and therefore the dimension of the CME rapidly increases with the number of molecules, its applicability is restricted to small systems. A widely applied remedy for this challenge is moment-based approaches which consider the evolution of the first few moments of the distribution as summary statistics for the complete distribution. Here, we investigate the performance of two moment-estimation methods for reaction systems whose equilibrium distributions encounter fat-tailedness and do not possess statistical moments. Results We show that estimation via stochastic simulation algorithm (SSA) trajectories lose consistency over time and estimated moment values span a wide range of values even for large sample sizes. In comparison, the method of moments returns smooth moment estimates but is not able to indicate the non-existence of the allegedly predicted moments. We furthermore analyze the negative effect of a CME solution’s fat-tailedness on SSA run times and explain inherent difficulties. While moment-estimation techniques are a commonly applied tool in the simulation of (bio-)chemical reaction networks, we conclude that they should be used with care, as neither the system definition nor the moment-estimation techniques themselves reliably indicate the potential fat-tailedness of the CME’s solution.

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26

Eom, Tae-Sung. „Redistribution of Negative Moments in Beams Subjected to Lateral Load“. Journal of the Korea Concrete Institute 23, Nr. 6 (31.12.2011): 731–40. http://dx.doi.org/10.4334/jkci.2011.23.6.731.

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27

He, Jun, und Yu-Bing Dong. „Magnetic moments ofL= 1 negative parityN* resonances in different models“. Journal of Physics G: Nuclear and Particle Physics 29, Nr. 12 (03.11.2003): 2737–42. http://dx.doi.org/10.1088/0954-3899/29/12/005.

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28

Scheringer, C. „Negative volumes and central moments of anharmonic probability density functions“. Acta Crystallographica Section A Foundations of Crystallography 44, Nr. 3 (01.05.1988): 343–49. http://dx.doi.org/10.1107/s0108767387012704.

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29

Garrett, W. R. „Quadrupole-bound anions: Efficacy of positive versus negative quadrupole moments“. Journal of Chemical Physics 136, Nr. 5 (07.02.2012): 054116. http://dx.doi.org/10.1063/1.3682465.

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30

Sharma, N., A. Martinez Torres, K. P. Khemchandani und H. Dahiya. „Magnetic moments of the low lying negative parity Λ resonances“. Physics of Particles and Nuclei 45, Nr. 1 (Januar 2014): 32–34. http://dx.doi.org/10.1134/s1063779614010912.

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31

Praszalowicz, Michal. „Negative Binomial Distribution and the multiplicity moments at the LHC“. Physics Letters B 704, Nr. 5 (Oktober 2011): 566–69. http://dx.doi.org/10.1016/j.physletb.2011.09.101.

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32

Wuyungaowa und Tianming Wang. „Asymptotic expansions for inverse moments of binomial and negative binomial“. Statistics & Probability Letters 78, Nr. 17 (Dezember 2008): 3018–22. http://dx.doi.org/10.1016/j.spl.2008.05.030.

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33

Rukhin, Andrew L. „Identities for negative moments of quadratic forms in normal variables“. Statistics & Probability Letters 79, Nr. 8 (April 2009): 1004–7. http://dx.doi.org/10.1016/j.spl.2008.12.004.

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34

Tachizawa, Kazuya. „On the Moments of the Negative Eigenvalues of Elliptic Operators“. Journal of Fourier Analysis and Applications 8, Nr. 3 (01.05.2002): 233–44. http://dx.doi.org/10.1007/s00041-002-0010-9.

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35

Nadarajah, Saralees, und Stephen Chan. „Elementary expressions for moments of truncated negative binomial random variables“. Communications in Statistics - Theory and Methods 47, Nr. 15 (23.10.2017): 3734–43. http://dx.doi.org/10.1080/03610926.2017.1361991.

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36

Kim, Dong Seong, Young Goo Choi, Kyoung Yong Park und Kee Dong Kim. „Method of Reducing Negative Moments of Two-Span Continuous Beams“. Journal of Korean Society of Steel Construction 34, Nr. 5 (27.10.2022): 251–58. http://dx.doi.org/10.7781/kjoss.2022.34.5.251.

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37

Laurinčikas, A. „A remark on negative moments of the Riemann zeta-function“. Lithuanian Mathematical Journal 40, Nr. 1 (Januar 2000): 23–28. http://dx.doi.org/10.1007/bf02465123.

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38

Frostig, Esther. „The moments of the discounted loss and the discounted dividends for a spectrally negative Lévy risk process“. Journal of Applied Probability 52, Nr. 3 (September 2015): 665–87. http://dx.doi.org/10.1239/jap/1445543839.

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Consider a spectrally negative risk process where, on ruin, the deficit is immediately paid, and the process restarts from 0. When the process reaches a threshold b, all the surplus above b is paid as dividend. Applying the theory of exit times for a spectrally negative Lévy process and its reflection at the maximum and at the minimum, we obtain recursive formulae for the following moments. (i) The moments of the discounted loss until the process reaches b. This is equivalent to the moments of the discounted dividends in the dual model under the barrier strategy. (ii) The moments of the discounted loss for models with and without a dividend barrier for the infinite horizon. (iii) The moments of the discounted dividends for the infinite horizon.

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39

Frostig, Esther. „The moments of the discounted loss and the discounted dividends for a spectrally negative Lévy risk process“. Journal of Applied Probability 52, Nr. 03 (September 2015): 665–87. http://dx.doi.org/10.1017/s0021900200113361.

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Consider a spectrally negative risk process where, on ruin, the deficit is immediately paid, and the process restarts from 0. When the process reaches a threshold b, all the surplus above b is paid as dividend. Applying the theory of exit times for a spectrally negative Lévy process and its reflection at the maximum and at the minimum, we obtain recursive formulae for the following moments. (i) The moments of the discounted loss until the process reaches b. This is equivalent to the moments of the discounted dividends in the dual model under the barrier strategy. (ii) The moments of the discounted loss for models with and without a dividend barrier for the infinite horizon. (iii) The moments of the discounted dividends for the infinite horizon.

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40

Almazah, Mohammed M. A., Muqrin A. Almuqrin, Mohamed S. Eliwa, Mahmoud El-Morshedy und Haitham M. Yousof. „Modeling Extreme Values Utilizing an Asymmetric Probability Function“. Symmetry 13, Nr. 9 (18.09.2021): 1730. http://dx.doi.org/10.3390/sym13091730.

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In this article, a new flexible probability density function with three parameters is proposed for modeling asymmetric data (positive and negative) with different types of kurtosis (mesokurtic, leptokurtic and platykurtic). Some of its statistical and reliability properties, including hazard rate function, moments, moment generating function, incomplete moments, mean deviations, moment of the residual life, moment of the reversed residual life, and order statistics are derived. Its hazard rate function can be either constant, increasing-constant, decreasing-constant, U shape, upside down shape or upside down-U shape. Seven classical estimation methods are considered to estimate the unknown model parameters. Monte Carlo simulation experiments are performed to compare the performance of the seven different estimation methods. Finally, a distinctive asymmetric real data application is analyzed for illustrating the flexibility of the new model.

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41

Shrestha, Srijan Lal. „Censored Negative Exponential Distribution as a Mixed Distribution and Derivation of Its Moments“. Nepal Journal of Science and Technology 14, Nr. 1 (14.10.2013): 167–76. http://dx.doi.org/10.3126/njst.v14i1.8937.

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Censored negative exponential distribution is treated as a mixed type distribution having two distinct types of components. These components give arise to continuous as well as discrete random variables. Moments (mean and variance) are derived for the doubly censored, right censored, and left censored negative exponential distributions (NEDs) along with separations of continuous and discrete components and their respective means and variances. Moments obtained for the censored NEDs are then compared to the corresponding values of the uncensored NEDs and the changes in the proportions of the moments due to censoring are examined and assessed. Plots of moments of the censored distributions including a three dimensional scatter plot are presented considering different hypothetical values at which censoring may occur. These distributions are widely applied in fitting and modeling failure time data in survival and reliability analyses. Nepal Journal of Science and Technology Vol. 14, No. 1 (2013) 167-176 DOI: http://dx.doi.org/10.3126/njst.v14i1.8937

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42

LONG, JOHN H. „Stiffness and Damping Forces in the Intervertebral Joints of Blue Marlin (Makaira Nigricans)“. Journal of Experimental Biology 162, Nr. 1 (01.01.1992): 131–55. http://dx.doi.org/10.1242/jeb.162.1.131.

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The stiffness and damping moments that are transmitted by intervertebral joints during sinusoidal bending were determined in the blue marlin, Makaira nigricans Lacépède. Using a dynamic bending machine, the angular stiffness (N m rad−1) and damping coefficient (kg m2 rad−2 s−1) of the intervertebral joints were measured over a range of bending frequencies, amplitudes and positions along the backbone. Angular stiffness increases with increasing bending amplitude, but, for some joints, the rate at which it changes with increasing bending frequency is negative. The precaudal intervertebral joints are less stiff than the caudal joints. The damping coefficient, which also shows regional variation, does not change with amplitude but does decrease with increasing bending frequency in joint positions three and five. Stiffness moments along the vertebral column, given the same amount of bending at each joint, are always greater than the damping moments. However, damping moments increase by an order of magnitude with an increase in bending frequency from 0.5 to 5.0Hz. The stiffness and damping moments determine the work that an external moment, such as muscle, must do over a complete cycle of bending. The external moments and work needed to bend an intervertebral joint are determined largely by the stiffness moments of the intervertebral joints.

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Ghitany, M. E., S. A. Al-Awadhi und S. L. Kalla. „On hypergeometric generalized negative binomial distribution“. International Journal of Mathematics and Mathematical Sciences 29, Nr. 12 (2002): 727–36. http://dx.doi.org/10.1155/s0161171202106193.

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It is shown that the hypergeometric generalized negative binomial distribution has moments of all positive orders, is overdispersed, skewed to the right, and leptokurtic. Also, a three-term recurrence relation for computing probabilities from the considered distribution is given. Application of the distribution to entomological field data is given and its goodness-of-fit is demonstrated.

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Watanabe, Tsutomu, Keiichi Goto und Shintaro Minoura. „Investigation of Load Environment and Bending Load Capacities of Aged Prestressed Concrete Sleepers“. Applied Sciences 13, Nr. 13 (03.07.2023): 7828. http://dx.doi.org/10.3390/app13137828.

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In this study, field measurements of the bending moments of prestressed concrete (PC) sleepers installed on commercial lines were obtained, and numerical analyses to identify the effects of different parameters on their bending moments were conducted. The bending load capacities of aged PC sleepers collected from commercial lines via bending tests were also determined. According to the field measurement results of the wheel loads and bending moments of the PC sleepers, the measured values were smaller than the design values. In addition, neither the wheel load nor the bending moment depended on train speed. The numerical analysis results indicate that the positive bending moment at the rail seat section is unlikely to exceed the design decompression moment (DDM). However, the negative bending moment at the center section may exceed the DDM if center support is provided with a reduced spring constant under the rail (the “hanging” rail seat section). In addition, the bending moment increased with the rail surface roughness, so the rail should be kept smooth. Moreover, the results of the JIS E 1201 bending tests on the aged PC sleepers showed that the crack generation load and ultimate load decreased gradually with increases in age and passing tonnage. However, all samples satisfied the JIS standard values. Furthermore, the bending moments generated in the PC sleepers during train passage were considerably smaller than the crack generation load and ultimate load during the bending test. Thus, Japanese PC sleepers aged more than 50 years currently satisfy the standard flexural fracture values specified by the JIS, and safety is not immediately compromised.

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Yue, Huan, Ji Ae Park, Son Long Ho, Mohammad Yaseen Ahmad, Hyunsil Cha, Shuwen Liu, Tirusew Tegafaw et al. „New Class of Efficient T2 Magnetic Resonance Imaging Contrast Agent: Carbon-Coated Paramagnetic Dysprosium Oxide Nanoparticles“. Pharmaceuticals 13, Nr. 10 (15.10.2020): 312. http://dx.doi.org/10.3390/ph13100312.

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Nanoparticles are considered potential candidates for a new class of magnetic resonance imaging (MRI) contrast agents. Negative MRI contrast agents require high magnetic moments. However, if nanoparticles can exclusively induce transverse water proton spin relaxation with negligible induction of longitudinal water proton spin relaxation, they may provide negative contrast MR images despite having low magnetic moments, thus acting as an efficient T2 MRI contrast agent. In this study, carbon-coated paramagnetic dysprosium oxide (DYO@C) nanoparticles (core = DYO = DyxOy; shell = carbon) were synthesized to explore their potential as an efficient T2 MRI contrast agent at 3.0 T MR field. Since the core DYO nanoparticles have an appreciable (but not high) magnetic moment that arises from fast 4f-electrons of Dy(III) (6H15/2), the DYO@C nanoparticles exhibited an appreciable transverse water proton spin relaxivity (r2) with a negligible longitudinal water proton spin relaxivity (r1). Consequently, they acted as a very efficient T2 MRI contrast agent, as proven from negative contrast enhancements seen in the in vivo T2 MR images.

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GRAHOVAC, DANIJEL, und NIKOLAI N. LEONENKO. „BOUNDS ON THE SUPPORT OF THE MULTIFRACTAL SPECTRUM OF STOCHASTIC PROCESSES“. Fractals 26, Nr. 04 (August 2018): 1850055. http://dx.doi.org/10.1142/s0218348x1850055x.

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The multifractal analysis of stochastic processes deals with the fine scale properties of the sample paths and seeks for some global scaling property that would enable extracting the so-called spectrum of singularities. In this paper, we establish bounds on the support of the spectrum of singularities. To do this, we prove a theorem that complements the famous Kolmogorov’s continuity criterion. The nature of these bounds helps us to identify the quantities truly responsible for the support of the spectrum. We then make several conclusions from this. First, specifying global scaling in terms of moments is incomplete due to possible infinite moments, both of positive and negative orders. The divergence of negative order moments does not affect the spectrum in general. On the other hand, infinite positive order moments make the spectrum of self-similar processes nontrivial. In particular, we show that the self-similar stationary increments process with the nontrivial spectrum must be heavy-tailed. This shows that for determining the spectrum it is crucial to capture the divergence of moments. We show that the partition function is capable of doing this and also propose a robust variant of this method for negative order moments.

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Neff, Lisa, Courtney Walsh und Jennifer Beer. „THE IMPORTANCE OF EMOTIONAL CAPITAL ACROSS THE LIFESPAN: WHY THE LITTLE MOMENTS IN MARRIAGE MATTER“. Innovation in Aging 3, Supplement_1 (November 2019): S284. http://dx.doi.org/10.1093/geroni/igz038.1048.

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Abstract Throughout a marriage, couples will share countless ordinary moments together, such as laughing together or engaging in leisure activities. Although these moments may seem trivial in isolation, research suggests that accumulating small positive moments together helps couples build emotional capital, which serves as an essential resource for protecting marriages from the harmful consequences of relationship challenges. This study explored whether emotional capital may buffer couples not only from the negative effects of relational stressors, but also from the negative effects of life stressors encountered outside the relationship in a sample of younger (age 30-45) and older (age 60+) married couples. Drawing from theories of socioemotional expertise, we also examined whether the buffering effects of emotional capital may be stronger for older adults. One hundred forty-five couples completed a 21-day daily diary task assessing shared positive experiences with the partner, negative partner behaviors, marital satisfaction, life stress, and mood. Spouses who generally accrued more shared positive moments with their partner across the diary days maintained greater marital satisfaction on days of greater partner negativity compared to spouses who accrued fewer positive moments. Moreover, spouses who generally accrued more shared positive moments with their partner across the diary days also reported lower levels of negative mood on days in which they experienced more life stress compared to spouses who accrued fewer shared positive moments; in both cases, the buffering role of emotional capital was significantly stronger for older adults. All results held when adjusting for relationship length and general marital happiness.

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Heap, Winston, Junxian Li und Jing Zhao. „Lower bounds for discrete negative moments of the Riemann zeta function“. Algebra & Number Theory 16, Nr. 7 (16.10.2022): 1589–625. http://dx.doi.org/10.2140/ant.2022.16.1589.

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49

Hansen, Alex, Einar L. Hinrichsen und Stéphane Roux. „Comment on ‘‘Negative moments of current distribution in random resistor networks’’“. Physical Review Letters 67, Nr. 2 (08.07.1991): 279. http://dx.doi.org/10.1103/physrevlett.67.279.

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50

Pielaszkiewicz, Jolanta. „R--transform associated with asymptotic negative spectral moments of Jacobi ensemble“. Afrika Statistika 13, Nr. 1 (01.01.2013): 1531–38. http://dx.doi.org/10.16929/as/1531.118.

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