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1

Schaerer, Roman Pascal, and Manuel Torrilhon. "On Singular Closures for the 5-Moment System in Kinetic Gas Theory." Communications in Computational Physics 17, no. 2 (2015): 371–400. http://dx.doi.org/10.4208/cicp.201213.130814a.

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AbstractMoment equations provide a flexible framework for the approximation of the Boltzmann equation in kinetic gas theory. While moments up to second order are sufficient for the description of equilibrium processes, the inclusion of higher order moments, such as the heat flux vector, extends the validity of the Euler equations to non-equilibrium gas flows in a natural way.Unfortunately, the classical closure theory proposed by Grad leads to moment equations, which suffer not only from a restricted hyperbolicity region but are also affected by non-physical sub-shocks in the continuous shock-structure problem if the shock velocity exceeds a critical value. Amore recently suggested closure theory based on the maximum entropy principle yields symmetric hyperbolic moment equations. However, if moments higher than second order are included, the computational demand of this closure can be overwhelming. Additionally, it was shown for the 5-moment system that the closing flux becomes singular on a subset of moments including the equilibrium state.Motivated by recent promising results of closed-form, singular closures based on the maximum entropy approach, we study regularized singular closures that become singular on a subset of moments when the regularizing terms are removed. In order to study some implications of singular closures, we use a recently proposed explicit closure for the 5-moment equations. We show that this closure theory results in a hyperbolic system that can mitigate the problem of sub-shocks independent of the shock wave velocity and handle strongly non-equilibrium gas flows.
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2

Sukhoterin, Mikhail, Sergey Baryshnikov, Elena Rasputina, and Natalia Pizhurina. "Shear stresses in rectangular panels of ship structures in the calculations according to Reissner theory." MATEC Web of Conferences 193 (2018): 02031. http://dx.doi.org/10.1051/matecconf/201819302031.

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This study calculates and analyzes torsion moments of a rectangular panel with clamped edges as an element of ship structures under the action of uniform pressure with allowance for transverse shear deformation and examines the contribution of the corresponding shear stresses to the general stress state. In order to solve this problem, the method of infinite superposition of corrective functions of bending and stresses is applied. It involves an iterative process of mutually correcting the discrepancies from the said functions while meeting all boundary conditions. A particular solution for the bending function in the form of a quadratic polynomial is chosen as the initial approximation. It is established that torsion moment series diverge at the corner points of the plate going into infinity, which yields infinite values for the shear stresses at these points as well. Results of torsion moment calculation for square plates with different width ratios are provided. A 3D distribution diagram of moments is obtained. The computational experiment confirms the correctness of theoretical conclusions about infinite torsion moments at the corner points of the plate. Comparison with bending moments shows that torsion moments cannot be ignored during the assessment of the stress-strain state. The behavior of torsion moments near the corner points is qualitatively different from the simplified Kirchhoff theory, where they turn into zero.
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3

Struchtrup, Henning. "Projected moments in relativistic kinetic theory." Physica A: Statistical Mechanics and its Applications 253, no. 1-4 (1998): 555–93. http://dx.doi.org/10.1016/s0378-4371(98)00037-5.

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4

Buckle, Mike, Jing Chen, and Julian M. Williams. "Realised higher moments: theory and practice." European Journal of Finance 22, no. 13 (2014): 1272–91. http://dx.doi.org/10.1080/1351847x.2014.885456.

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5

Stein, Ruth. "Moments in Laplanche's Theory of Sexuality." Studies in Gender and Sexuality 8, no. 2 (2007): 177–200. http://dx.doi.org/10.1080/15240650701225534.

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6

Day, Orville W., and George S. Handler. "Multipole moments in thomas-fermi theory." International Journal of Quantum Chemistry 10, S10 (2009): 369–73. http://dx.doi.org/10.1002/qua.560100841.

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7

Nwachukwu-Agbada, J. O. J., and Afam Akeh. "Stolen Moments." World Literature Today 64, no. 1 (1990): 181. http://dx.doi.org/10.2307/40146056.

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8

Cranston, Mechthild, and Alain Jouffroy. "Moments extrêmes." World Literature Today 66, no. 3 (1992): 483. http://dx.doi.org/10.2307/40148397.

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9

Bär, Oliver. "Multi-hadron-state contamination in nucleon observables from chiral perturbation theory." EPJ Web of Conferences 175 (2018): 01007. http://dx.doi.org/10.1051/epjconf/201817501007.

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Multi-particle states with additional pions are expected to be a non-negligible source of the excited-state contamination in lattice simulations at the physical point. It is shown that baryon chiral perturbation theory (ChPT) can be employed to calculate the contamination due to two-particle nucleon-pion states in various nucleon observables. Results to leading order are presented for the nucleon axial, tensor and scalar charge and three Mellin moments of parton distribution functions: the average quark momentum fraction, the helicity and the transversity moment. Taking into account experimental and phenomenological results for the charges and moments the impact of the nucleon-pionstates on lattice estimates for these observables can be estimated. The nucleon-pion-state contribution leads to an overestimation of all charges and moments obtained with the plateau method. The overestimation is at the 5-10% level for source-sink separations of about 2 fm. Existing lattice data is not in conflict with the ChPT predictions, but the comparison suggests that significantly larger source-sink separations are needed to compute the charges and moments with few-percent precision.
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10

Harper, Adam J. "Moments of random multiplicative functions, II: High moments." Algebra & Number Theory 13, no. 10 (2019): 2277–321. http://dx.doi.org/10.2140/ant.2019.13.2277.

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11

Elbatal, Ibrahim, Farrukh Jamal, Christophe Chesneau, Mohammed Elgarhy, and Sharifah Alrajhi. "The Modified Beta Gompertz Distribution: Theory and Applications." Mathematics 7, no. 1 (2018): 3. http://dx.doi.org/10.3390/math7010003.

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In this paper, we introduce a new continuous probability distribution with five parameters called the modified beta Gompertz distribution. It is derived from the modified beta generator proposed by Nadarajah, Teimouri and Shih (2014) and the Gompertz distribution. By investigating its mathematical and practical aspects, we prove that it is quite flexible and can be used effectively in modeling a wide variety of real phenomena. Among others, we provide useful expansions of crucial functions, quantile function, moments, incomplete moments, moment generating function, entropies and order statistics. We explore the estimation of the model parameters by the obtained maximum likelihood method. We also present a simulation study testing the validity of maximum likelihood estimators. Finally, we illustrate the flexibility of the distribution by the consideration of two real datasets.
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12

Bär, Oliver. "Chiral perturbation theory and nucleon–pion-state contaminations in lattice QCD." International Journal of Modern Physics A 32, no. 15 (2017): 1730011. http://dx.doi.org/10.1142/s0217751x17300113.

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Multiparticle states with additional pions are expected to be a non-negligible source of excited-state contamination in lattice simulations at the physical point. It is shown that baryon chiral perturbation theory can be employed to calculate the contamination due to two-particle nucleon–pion-states in various nucleon observables. Leading order results are presented for the nucleon axial, tensor and scalar charge and three Mellin moments of parton distribution functions (quark momentum fraction, helicity and transversity moment). Taking into account phenomenological results for the charges and moments the impact of the nucleon–pion-states on lattice estimates for these observables can be estimated. The nucleon–pion-state contribution results in an overestimation of all charges and moments obtained with the plateau method. The overestimation is at the 5–10% level for source-sink separations of about 2 fm. The source-sink separations accessible in contemporary lattice simulations are found to be too small for chiral perturbation theory to be directly applicable.
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13

Czarnecki, Andrzej, and William J. Marciano. "Lepton anomalous magnetic moments — a theory update." Nuclear Physics B - Proceedings Supplements 76, no. 1-3 (1999): 245–52. http://dx.doi.org/10.1016/s0920-5632(99)00474-0.

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14

Meißner, Ulf-G., and S. Steininger. "Baryon magnetic moments in chiral perturbation theory." Nuclear Physics B 499, no. 1-2 (1997): 349–67. http://dx.doi.org/10.1016/s0550-3213(97)00313-1.

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15

Bhattacharya, A., M. M. Panja, and B. Talukdar. "Atomic anapole moments in the electroweak theory." Physical Review A 52, no. 6 (1995): 4963–65. http://dx.doi.org/10.1103/physreva.52.4963.

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16

Elad, M., P. Milanfar, and G. H. Golub. "Shape from Moments—An Estimation Theory Perspective." IEEE Transactions on Signal Processing 52, no. 7 (2004): 1814–29. http://dx.doi.org/10.1109/tsp.2004.828919.

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17

Pick, Štěpán. "Theory of moments, Hückel rule and stability." Collection of Czechoslovak Chemical Communications 53, no. 8 (1988): 1607–12. http://dx.doi.org/10.1135/cccc19881607.

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The connection between moments of the electronic Hamiltonian and topology of a quantum mechanical system is studied. Based on simplifications similar to those usually employed in simple chemical and physical theories, criteria resembling the Hückel rule for cyclic conjugated systems are suggested. Several examples of interest in chemistry and solid physics are discussed. No information on the wave function is necessary in the present approach.
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18

Meng, J., P. W. Zhao, S. Q. Zhang, J. N. Hu, and J. Li. "Nuclear moments in covariant density functional theory." Physica Scripta 89, no. 5 (2014): 054029. http://dx.doi.org/10.1088/0031-8949/89/5/054029.

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19

Dassios, George. "Low‐frequency moments in inverse scattering theory." Journal of Mathematical Physics 31, no. 7 (1990): 1691–92. http://dx.doi.org/10.1063/1.528716.

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20

Moore, Lori L., and Lauren J. Lewis. "Using Aha! Moments to Understand Leadership Theory." Journal of Leadership Education 11, no. 2 (2012): 226–36. http://dx.doi.org/10.12806/v11/i2/ab2.

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21

Arima, Takashi, and Tommaso Ruggeri. "Molecular Extended Thermodynamics of Rarefied Polyatomic Gases with a New Hierarchy of Moments." Fluids 6, no. 2 (2021): 62. http://dx.doi.org/10.3390/fluids6020062.

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The aim of this paper is to construct the molecular extended thermodynamics for classical rarefied polyatomic gases with a new hierarchy, which is absent in the previous procedures of moment equations. The new hierarchy is deduced recently from the classical limit of the relativistic theory of moments associated with the Boltzmann–Chernikov equation. The field equations for 15 moments of the distribution function, in which the internal degrees of freedom of a molecule are taken into account, are closed with the maximum entropy principle. It is shown that the theory contains, as a principal subsystem, the previously polyatomic 14 fields theory, and in the monatomic limit, in which the dynamical pressure vanishes, the differential system converges, instead of to the Grad 13-moment system, to the Kremer 14-moment system.
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22

Hafner, Christian M., and Arie Preminger. "ASYMPTOTIC THEORY FOR A FACTOR GARCH MODEL." Econometric Theory 25, no. 2 (2009): 336–63. http://dx.doi.org/10.1017/s0266466608090117.

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This paper investigates the asymptotic theory for a factor GARCH (generalized autoregressive conditional heteroskedasticity) model. Sufficient conditions for asymptotic stability and existence of moments are established. These conditions allow for volatility spillover and integrated GARCH. We then show the strong consistency and asymptotic normality of the quasi–maximum likelihood estimator (QMLE) of the model parameters. The results are obtained under the finiteness of the fourth-order moment of the innovations.
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23

Dagg, I. R., A. Anderson, M. C. Mooney, C. G. Joslin, W. Smith, and L. A. A. Read. "Collision-induced far infrared absorption in gaseous chlorine and chlorine–argon mixtures." Canadian Journal of Physics 68, no. 1 (1990): 121–27. http://dx.doi.org/10.1139/p90-018.

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Collision-induced absorption is reported in Cl2 and Cl2–Ar gaseous mixtures at room temperature, in the spectral region below 120 cm−1. The results are analyzed according to existing theory, which incorporates estimates of the quadrupole and hexadecapole moments as well as relying on the accuracy of reported Lennard–Jones parameters. In addition, the spectral line shapes are compared with those calculated from information theory for which the theoretical expressions are given for multipole moments. The results for the mixtures are consistent with the generally accepted value of the quadrupole moment, 3.23(±.16) × 10−26 esu (3.23(+.16) Buckingham), and with a theoretical value of the hexadecapole moment, 31.4 × 10−42 esu. If these values of the moments are assumed, the Lennard–Jones parameters of Cl2, are estimated to be σ = 4.20 Å and ε/k = 307 K.
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24

CL Hollenberg, Lloyd. "Beyond the Variational Principle in Quantum Field Theory." Australian Journal of Physics 48, no. 1 (1995): 39. http://dx.doi.org/10.1071/ph950039.

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A method of summing diagrams in quantum field theory beyond the variational Gaussian approximation is proposed using the continuum form of the recently developed plaquette expansion. In the context of >-<j} theory the Hamiltonian, H[�], of the Schrodinger functional equation H[�]\II[�] = E\II[�] can be written down in tri-diagonal form as a cluster expansion in terms of connected moment coefficients derived from Hamiltonian moments (Hn) == !V�VI[�]Hn[�JVd�] with respect to a trial state VI [�]. The usual variational procedure corresponds to minimising the zeroth order of this cluster expansion. At first order in the expansion, the Hamiltonian in this form can be diagonalised analytically. The subsequent expression for the vacuum energy E contains Hamiltonian moments up to fourth order and hence is a summation over multi-loop diagrams, laying the foundation for the calculation of the effective potential beyond the Gaussian approximation.
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25

Deutsch, Helen. "The Body's Moments." Prose Studies 27, no. 1-2 (2005): 11–26. http://dx.doi.org/10.1080/01440350500068718.

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26

Chase, Kathleen, Virginia Woolf, and Jeanne Schulkind. "Moments of Being." World Literature Today 60, no. 2 (1986): 317. http://dx.doi.org/10.2307/40141792.

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27

Roman, Patrice. "Problème des moments." Semigroup Forum 66, no. 2 (2002): 212–30. http://dx.doi.org/10.1007/s002330010168.

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28

Kügerl, Georg, and Ferdinand Schürrer. "The PN Method in the Kinetic Theory of Gases." Zeitschrift für Naturforschung A 47, no. 9 (1992): 925–34. http://dx.doi.org/10.1515/zna-1992-0901.

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Abstract An expansion of the velocity distribution function in a series of spherical harmonics is used to transform the nonlinear Boltzmann equation into a system of moment equations. The close connection between the moment equations of zeroth and first order with the transport equations for mass, momentum and energy is pointed out. By comparing the order of magnitude of the various moments it is shown that the P2 approximation is adequate for systems with small mean free path. Simplifications of the collision terms of the moment equations are discussed, where attention is payed to the conservation laws and the H theorem
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29

Borodin, Alexei, Ivan Corwin, Leonid Petrov, and Tomohiro Sasamoto. "Spectral theory for the -Boson particle system." Compositio Mathematica 151, no. 1 (2014): 1–67. http://dx.doi.org/10.1112/s0010437x14007532.

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AbstractWe develop spectral theory for the generator of the $q$-Boson (stochastic) particle system. Our central result is a Plancherel type isomorphism theorem for this system. This theorem has various implications. It proves the completeness of the Bethe ansatz for the $q$-Boson generator and consequently enables us to solve the Kolmogorov forward and backward equations for general initial data. Owing to a Markov duality with $q$-TASEP ($q$-deformed totally asymmetric simple exclusion process), this leads to moment formulas which characterize the fixed time distribution of $q$-TASEP started from general initial conditions. The theorem also implies the biorthogonality of the left and right eigenfunctions. We consider limits of our $q$-Boson results to a discrete delta Bose gas considered previously by van Diejen, as well as to another discrete delta Bose gas that describes the evolution of moments of the semi-discrete stochastic heat equation (or equivalently, the O’Connell–Yor semi-discrete directed polymer partition function). A further limit takes us to the delta Bose gas which arises in studying moments of the stochastic heat equation/Kardar–Parisi–Zhang equation.
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30

Weinstock, J. "A theory of turbulent transport." Journal of Fluid Mechanics 202 (May 1989): 319–38. http://dx.doi.org/10.1017/s0022112089001205.

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A calculation is made of the turbulent transport terms (third moments) that occur in the Reynolds stress equation for buoyant and/or sheared fluids. This calculation is based on neglect of a two-time fourth-order cumulant – a weaker approximation than neglect of the usual single-time fourth-order cumulant. The previously used eddy-damping assumption for single point moments is avoided. This assumption is then examined critically. Comparison is afterward made between the turbulent transport terms derived here and those derived previously by the eddy-damping method, and between the respective derivations. Also the dissipation of third moments is calculated. The calculation is formally limited to mean quantities which vary but slowly in space and time, and to small anisotropy.
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31

William S. Jewell and Rene Schnieper. "Credibility Approximations for Bayesian Prediction of Second Moments." ASTIN Bulletin 15, no. 2 (1985): 103–21. http://dx.doi.org/10.2143/ast.15.2.2015022.

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AbstractCredibility theory refers to the use of linear least-squares theory to approximate the Bayesian forecast of the mean of a future observation; families are known where the credibility formula is exact Bayesian. Second-moment forecasts are also of interest, for example, in assessing the precision of the mean estimate. For some of these same families, the second-moment forecast is exact in linear and quadratic functions of the sample mean. On the other hand, for the normal distribution with normal-gamma prior on the mean and variance, the exact forecast of the variance is a linear function of the sample variance and the squared deviation of the sample mean from the prior mean. Bühlmann has given a credibility approximation to the variance in terms of the sample mean and sample variance.In this paper, we present a unified approach to estimating both first and second moments of future observations using linear functions of the sample mean and two sample second moments; the resulting least-squares analysis requires the solution of a 3 × 3 linear system, using 11 prior moments from the collective and giving joint predictions of all moments of interest. Previously developed special cases follow immediately. For many analytic models of interest, 3-dimensional joint prediction is significantly better than independent forecasts using the “natural” statistics for each moment when the number of samples is small. However, the expected squared-errors of the forecasts become comparable as the sample size increases.
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32

Bailey, E. C., та J. P. Keating. "On the moments of the moments of ζ(1/2 + it)". Journal of Number Theory 223 (червень 2021): 79–100. http://dx.doi.org/10.1016/j.jnt.2020.12.008.

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33

Maroulis, George. "On the Electric Multipole Moments of Carbon Monoxide." Zeitschrift für Naturforschung A 47, no. 3 (1992): 480–84. http://dx.doi.org/10.1515/zna-1992-0307.

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Abstract The electric dipole, quadrupole, octopole and hexadecapole moment of carbon monoxide has been obtained from finite-field SCF and Moeller-Plesset perturbation theory calculations. The resulting values for the octopole and hexadecapole moments of CO(X1 Σ+ ) are 3.59 eao3 and - 9.01 eao4 respectively
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34

Olkhov, Victor. "Price, Volatility and the Second-Order Economic Theory." ACRN Journal of Finance and Risk Perspectives 10, no. 1 (2021): 139–65. http://dx.doi.org/10.35944/jofrp.2021.10.1.009.

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We introduce the new price probability measure, which entirely depends on the probability measures of the value and the volume of the market trades. We define the nth statistical moment of the price as the ratio of the nth statistical moment of the value to the nth statistical moment of the volume of all trades performed during an averaging time interval Δ. The set of the price statistical moments determines the price characteristic function and its Fourier transform defines the price probability measure. The price volatility depends on the 1st and the 2nd statistical moments of the value and the volume of the trades. The prediction of the price volatility requires a description of the sums of squares of the value and the volume of the market trades during the interval Δ and we call it the second-order economic theory. To develop that theory, we introduce numerical continuous risk ratings and distribute the agents by the risk ratings as coordinates. Based on distributions of the agents by the risk coordinates, we introduce a continuous economic media approximation that describes the collective trades. The agents perform the trades under the action of their expectations. We model the mutual impact of the expectations and the trades and derive equations that describe their evolution. To illustrate the benefits of our approach, in a linear approximation we describe perturbations of the mean price, the mean square price and the price volatility as functions of the first and the second-degree trades’ disturbances.
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35

Handsfield, Lara J., and Patricia Valente. "Momentos de Cambio: Cultivating Bilingual Students’ Epistemic Privilege through Memoir and Testimonio." International Journal of Multicultural Education 18, no. 3 (2016): 138. http://dx.doi.org/10.18251/ijme.v18i3.1200.

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In this article, we describe how students were invited to write and publicly read their momentos de cambio (moments of change) stories—memoirs in which they recount moments of significant change, both joyful and traumatic, in their lives. Drawing from elements of Latino critical theory, we conceptualize these stories in part as testimonios—opportunities for the students to voice their own truths and experiences in the world. We describe how the concept of momentos de cambio served as a rhetorical resource for claiming epistemic privilege and interpretive authority across the school year.
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36

Rashin, A. A., L. Young, I. A. Topol, and S. K. Burt. "Molecular dipole moments calculated with density functional theory." Chemical Physics Letters 230, no. 1-2 (1994): 182–88. http://dx.doi.org/10.1016/0009-2614(94)01150-8.

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37

Rolik, Z., Á. Szabados, D. Kőhalmi, and P. R. Surján. "Coupled-cluster theory and the method of moments." Journal of Molecular Structure: THEOCHEM 768, no. 1-3 (2006): 17–23. http://dx.doi.org/10.1016/j.theochem.2006.05.014.

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38

Bachman, Gregg. "A Review of “Film Moments: Criticism, History, Theory”." Quarterly Review of Film and Video 29, no. 4 (2012): 377–79. http://dx.doi.org/10.1080/10509208.2011.646106.

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39

LI, Jian. "Nuclear magnetic moments in covariant density functional theory." SCIENTIA SINICA Physica, Mechanica & Astronomica 46, no. 1 (2015): 012008. http://dx.doi.org/10.1360/sspma2015-00363.

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40

Pick, Š., M. Tomášek, G. V. Gadiyak, and Yu N. Morokov. "Interactions on Silicon Surfaces and Theory of Moments." physica status solidi (b) 160, no. 2 (1990): 483–89. http://dx.doi.org/10.1002/pssb.2221600210.

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41

Stoddart, J. C., N. H. March, and D. Wiid. "Local moments, electron correlation and density functional theory." International Journal of Quantum Chemistry 5, S5 (2009): 745–62. http://dx.doi.org/10.1002/qua.560050883.

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42

Trygg, Joakim, Börje Johansson, and Olle Eriksson. "Photoelectron spectra and magnetic moments in UPdSn: Theory." Physical Review B 49, no. 11 (1994): 7165–69. http://dx.doi.org/10.1103/physrevb.49.7165.

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43

Jankowski, Karol, Josef Paldus, and Piotr Piecuch. "Method of moments approach and coupled cluster theory." Theoretica Chimica Acta 80, no. 4-5 (1991): 223–43. http://dx.doi.org/10.1007/bf01117411.

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44

M. Fawcett, Amydee, Stanley E. Fawcett, M. Bixby Cooper, and Kristine S. Daynes. "Moments of angst." Benchmarking: An International Journal 21, no. 3 (2014): 450–80. http://dx.doi.org/10.1108/bij-09-2012-0059.

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Purpose – Competitive dynamics are placing greater emphasis on customer experience, making the management of the last 100 meters of the supply chain critical to differential performance. Traditionally, supply chain design has emphasized two processes: new product development and order fulfillment. Today, a third process must be designed and managed for competitive advantage. That is, the authors need to learn to design service value systems to enhance the customer experience and promote loyalty and lifetime streams of profit. This research informs the enduring challenge that underlies the delivery of high levels of customer satisfaction by enriching theory related to the design and provision of distinctive customer experience. The paper aims to discuss these issues. Design/methodology/approach – The critical incident technique (CIT), an inductive method, is employed to explore two core dimensions of expectancy theory and to identify the phenomenological and underlying systems design factors that bring about both positive and negative customer experiences. Findings – The analysis shows that few companies use customer experience as a competitive lever. Customer service failures persist from a lack of managerial commitment and poor service-delivery process design. A holistic view of customer service that emphasizes policy, people, performance measurement, and processes emerges. Originality/value – Identifying and describing the customer-experience system as a third fundamental supply chain process is an important contribution. By linking a CIT approach with cause-and-effect analysis, the authors go beyond the frequently analyzed cognitive phenomenology to identify vital systems design issues. By enhancing the customer experience at the end of the supply chain, greater advantage for all participants in the chain emerges.
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45

Robinson, Howard. "A 'Trinitarian' Theory of the Self." European Journal for Philosophy of Religion 5, no. 1 (2013): 181–95. http://dx.doi.org/10.24204/ejpr.v5i1.255.

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I argue that the self is simple metaphysically, whilst being complex psychologically and that the persona that links these moments might be dubbed ‘creativity’ or ‘imagination’. This theory is trinitarian because it ascribes to the self these three ‘features’ or ‘moments’ and they bear at least some analogy with the Persons of the Trinity, as understood within the neo- platonic, Augustinian tradition.
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46

Kryachko, Eugene S., and 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, no. 1 (1987): 8–14. http://dx.doi.org/10.1063/1.527758.

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47

Pavic-Colic, Milana, and Srboljub Simic. "Moment closure hierarchies for rarefied gases." Theoretical and Applied Mechanics 42, no. 4 (2015): 261–76. http://dx.doi.org/10.2298/tam1504261p.

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The paper proposes an approximate closure procedure for hierarchies of macroscopic equations for rarefied gases, derived as moment equations from the Boltzmann equation in kinetic theory of gases. The procedure is based upon application of the maximum entropy principle. If the exact minimizer is exploited, moments of the distribution function may diverge, unless the restriction on the structure of the moments is introduced. In this paper, a perturbative approach is proposed by restricting the set of admissible functions in the variational problem. This leads to an approximate minimizer, but the procedure can be applied to an arbitrary choice of the moments.
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48

Benson, Stephen. "David Malouf’s Moments Musicaux." Journal of Commonwealth Literature 38, no. 1 (2003): 5–21. http://dx.doi.org/10.1177/0021989404381003.

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49

Wheeler, Jeffrey B., Robert J. Gregor, and Jeffrey P. Broker. "The Effect of Clipless Float Design on Shoe/Pedal interface Kinetics and Overuse Knee injuries during Cycling." Journal of Applied Biomechanics 11, no. 2 (1995): 119–41. http://dx.doi.org/10.1123/jab.11.2.119.

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Pedal kinetics, including the applied moment (Mz) about an axis orthogonal to the pedal surface and passing through the center of pressure, were measured across three shoe/pedal interface systems (toe-clip and strap, clipless fixed, clipless float) and three workrates (150, 250, 350 W) during steady-state cycling using specially developed multicompatible force pedals. The applied moment (Mz) at the pedal is an important contributor to the corresponding axial moment realized at the knee and has implications for studying overuse injury mechanics and prevention of cycling-related knee pain. Data were collected from 27 knee pain free (KPF) cyclists and 7 cyclists with cycling-related knee pain. The largest applied moments (Mz) were observed when clipless fixed pedals were employed, while clipless float pedals significantly attenuated the applied moment. Cyclists with chronic knee pain exhibited Mz patterns markedly different from the KPF group, supporting the theory that relatively high moments, particularly internally applied moments during the power phase, may be related to knee loads and subsequent overuse injury. Our general conclusion is that clipless pedal float designs quantifiably reduce applied moments at the shoe/pedal interface without compromising power transmitted to the bike.
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50

Longo, Alessandra, Elide Nastri, and Vincenzo Piluso. "Theory of Plastic Mechanism Control: State-of-The-Art." Open Construction and Building Technology Journal 8, no. 1 (2014): 262–78. http://dx.doi.org/10.2174/1874836801408010262.

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In this paper, the state-of-the-art regarding the “Theory of Plastic Mechanism Control” (TPMC) is presented. TPMC is aimed at the design of structures assuring a collapse mechanism of global type. The theory has been developed in the nineties with reference to moment-resisting steel frames (MRFs) and progressively extended to all the main structural typologies commonly adopted as seismic-resistant structural systems. In particular, the outcome of the theory is the sum of the plastic moments of the columns required, at each storey, to prevent undesired failure modes, i.e. partial mechanisms and soft-storey mechanisms. The theory is used to provide the design conditions to be satisfied, in the form of a set of inequalities where the unknowns are constituted by the column plastic moments. Even though the set of inequalities was originally solved by means of an algorithm requiring an iterative procedure, now, thanks to new advances, a “closed form solution” has been developed. This result is very important, because the practical application of TPMC can now be carried out even with very simple hand calculations. In order to show the simplicity of the new procedure, numerical applications are herein presented in detail with reference to Moment Resisting Frames (MRFs) and dual systems both composed by Moment Resisting Frames and Eccentrically Braces Frames (MRF-EBFs) with inverted Y scheme and composed by Moment Resisting Frames and Concentrically Braced Frames (MRF-CBFs) with X-braced scheme and V-braced scheme. Finally, the pattern of yielding obtained is validated by means of both push-over analyses and incremental dynamic analyses. A comparison in terms of structural weight of the designed structures is also presented and the corresponding seismic performances are discussed.
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