Academic literature on the topic 'Theory of moments'

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Journal articles on the topic "Theory of moments"

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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Theory of moments"

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Hsia, Wei-Kung 1958. "DOUBLE ANGLE CONNECTION MOMENTS (RICHARD EQUATION, PRYING FORCE, BEAM-LINE THEORY, MOMENT ROTATION CURVE)." Thesis, The University of Arizona, 1986. http://hdl.handle.net/10150/291892.

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Cheded, L. "Stochastic quantization : theory and application to moments recovery." Thesis, University of Manchester, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.282062.

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Elamir, Elsayed Ali Habib. "Probability distribution theory, generalisations and applications of L-moments." Thesis, Durham University, 2001. http://etheses.dur.ac.uk/3987/.

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In this thesis, we have studied L-moments and trimmed L-moments (TL-moments) which are both linear functions of order statistics. We have derived expressions for exact variances and covariances of sample L-moments and of sample TL-moments for any sample size n in terms of first and second-order moments of order statistics from small conceptual sample sizes, which do not depend on the actual sample size n. Moreover, we have established a theorem which characterises the normal distribution in terms of these second-order moments and the characterisation suggests a new test of normality. We have also derived a method of estimation based on TL-moments which gives zero weight to extreme observations. TL-moments have certain advantages over L-moments and method of moments. They exist whether or not the mean exists (for example the Cauchy distribution) and they are more robust to the presence of outliers. Also, we have investigated four methods for estimating the parameters of a symmetric lambda distribution: maximum likelihood method in the case of one parameter and L-moments, LQ-moments and TL-moments in the case of three parameters. The L-moments and TL-moments estimators are in closed form and simple to use, while numerical methods are required for the other two methods, maximum likelihood and LQ-moments. Because of the flexibility and the simplicity of the lambda distribution, it is useful in fitting data when, as is often the case, the underlying distribution is unknown. Also, we have studied the symmetric plotting position for quantile plot assuming a symmetric lambda distribution and conclude that the choice of the plotting position parameter depends upon the shape of the distribution. Finally, we propose exponentially weighted moving average (EWMA) control charts to monitor the process mean and dispersion using the sample L-mean and sample L-scale and charts based on trimmed versions of the same statistics. The proposed control charts limits are less influenced by extreme observations than classical EWMA control charts, and lead to tighter limits in the presence of out-of-control observations.
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Ushan, Wardah. "Portfolio selection using Random Matrix theory and L-Moments." Master's thesis, University of Cape Town, 2015. http://hdl.handle.net/11427/16921.

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Includes bibliographical references<br>Markowitz's (1952) seminal work on Modern Portfolio Theory (MPT) describes a methodology to construct an optimal portfolio of risky stocks. The constructed portfolio is based on a trade-off between risk and reward, and will depend on the risk- return preferences of the investor. Implementation of MPT requires estimation of the expected returns and variances of each of the stocks, and the associated covariances between them. Historically, the sample mean vector and variance-covariance matrix have been used for this purpose. However, estimation errors result in the optimised portfolios performing poorly out-of-sample. This dissertation considers two approaches to obtaining a more robust estimate of the variance-covariance matrix. The first is Random Matrix Theory (RMT), which compares the eigenvalues of an empirical correlation matrix to those generated from a correlation matrix of purely random returns. Eigenvalues of the random correlation matrix follow the Marcenko-Pastur density, and lie within an upper and lower bound. This range is referred to as the "noise band". Eigenvalues of the empirical correlation matrix falling within the "noise band" are considered to provide no useful information. Thus, RMT proposes that they be filtered out to obtain a cleaned, robust estimate of the correlation and covariance matrices. The second approach uses L-moments, rather than conventional sample moments, to estimate the covariance and correlation matrices. L-moment estimates are more robust to outliers than conventional sample moments, in particular, when sample sizes are small. We use L-moments in conjunction with Random Matrix Theory to construct the minimum variance portfolio. In particular, we consider four strategies corresponding to the four different estimates of the covariance matrix: the L-moments estimate and sample moments estimate, each with and without the incorporation of RMT. We then analyse the performance of each of these strategies in terms of their risk-return characteristics, their performance and their diversification.
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Tronci, Cesare. "Geometric dynamics of Vlasov kinetic theory and its moments." Thesis, Imperial College London, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.486660.

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The Vlasov equation of kinetic theory is introduced and the Hamiltonian structure of its moments is presented. Then we focus on the geodesic evolution of the Vlasov moments [1.2]. As a first step, these moment equations generalize the Camassa-Holm equation [3] to its multi-component version [4]. Subsequently, adding electrostatic forces to the geodesic moment equations relates them to the Benney equations [5] and to the equations for beam dynamics in particle accelerators. Next, we develop a kinetic theory for self assembly in nano-particles. The Darcy law [6] is introduced as a general principle for aggregation dynamics in friction dominated systems (at different scales). Then, a kinetic equation is introduced [7,8] for the dissipative motion of isotropic nano-particles. The zeroth-moment dynamics of this equation recovers the classical Darcy law at the macroscopic level [7]. A kinetic-theory description for oriented nano-particles is also presented [9]. At the macroscopic level, the zeroth moments of this kinetic equation recover the magnetization dynamics of the Landau-Lifshitz-Gilbert equation [10]. The moment equations exhibit the spontaneous emergence of singular solutions (clumpons) that finally merge in one singularity. This behaviour represents aggregation and alignment of oriented nano-particles. Finally, the Smoluchowsky description is derived from the dissipative Vlasov equation for anisotropic interactions. Various levels of approximate Smoluchowsky descriptions are proposed as special cases of the general treatment. As a result, the macroscopic momentum emerges as an additional dynamical variable that in general cannot be neglected.
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Chamseddine, Ismail. "Construction of random signals from their higher order moments." Thesis, Imperial College London, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.266089.

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Bäckdahl, Thomas. "Multipole moments of axisymmetric spacetimes." Licentiate thesis, Linköping University, Linköping University, Applied Mathematics, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-5400.

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<p>In this thesis we study multipole moments of axisymmetric spacetimes. Using the recursive definition of the multipole moments of Geroch and Hansen we develop a method for computing all multipole moments of a stationary axisymmetric spacetime without the use of a recursion. This is a generalisation of a method developed by Herberthson for the static case.</p><p>Using Herberthson’s method we also develop a method for finding a static axisymmetric spacetime with arbitrary prescribed multipole moments, subject to a specified convergence criteria. This method has, in general, a step where one has to find an explicit expression for an implicitly defined function. However, if the number of multipole moments are finite we give an explicit expression in terms of power series.</p><br>Note: The two articles are also available in the pdf-file. Report code: LiU-TEK-LIC-2006:4.
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Munsch, Marc. "Moments des fonctions thêta." Thesis, Aix-Marseille, 2013. http://www.theses.fr/2013AIXM4093/document.

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On s’intéresse dans cette thèse à l’étude des fonctions thêta intervenant dans la preuve de l’équation fonctionnelle des fonctions L de Dirichlet. En particulier, on adapte certains résultats obtenus dans le cadre des fonctions L au cas des fonctions thêta. S. Chowla a conjecturé que les fonctions L de Dirichlet associées à des caractères χ primitifs ne doivent pas s’annuler au point central de leur équation fonctionnelle. De façon analogue, il est conjecturé que les fonctions thêta ne s'annulent pas au point 1. Dans le but de prouver cette conjecture pour beaucoup de caractères, on étudie les moments de fonctions thêta dans plusieurs familles. On se focalise sur deux familles importantes. La première considérée est l’ensemble des caractères de Dirichlet modulo p où p est un nombre premier. On prouve des formules asymptotiques pour les moments d'ordre 2 et 4 en se ramenant à des problèmes de nature diophantienne. La seconde famille considérée est celle des caractères primitifs et quadratiques associés à des discriminants fondamentaux d inférieurs à une certaine borne fixée. On donne une formule asymptotique pour le premier moment et une majoration pour le moment d'ordre 2 en utilisant des techniques de transformée de Mellin ainsi que des estimations sur les sommes de caractères. Dans les deux cas, on en déduit des résultats de non-annulation des fonctions thêta. On propose également un algorithme qui, pour beaucoup de caractères, se révèle en pratique efficace pour prouver la non-annulation sur l'axe réel positif des fonctions thêta ce qui entraîne la non-annulation sur le même axe des fonctions L associées<br>In this thesis, we focus on the study of theta functions involved in the proof of the functional equation of Dirichlet L- functions. In particular, we adapt some results obtained for L-functions to the case of theta functions. S. Chowla conjectured that Dirichlet L- functions associated to primitive characters χ don’t vanish at the central point of their functional equation. In a similar way to Chowla’s conjecture, it is conjectured that theta functions don't vanish at the central point of their functional equation for each primitive character. With the aim of proving this conjecture for a lot of characters, we study moments of theta functions in various families. We concentrate on two important families. The first one which we consider is the family of all Dirichlet characters modulo p where p is a prime number. In this case, we prove asymptotic formulae for the second and fourth moment of theta functions using diophantine techniques. The second family which we consider is the set of primitive quadratic characters associated to a fundamental discriminant less than a fixed bound. We give an asymptotic formula for the first moment and an upper bound for the second moment using techniques of Mellin transforms and estimation of character sums. In both cases, we deduce some results of non-vanishing. We also give an algorithm which, in practice, works well for a lot of characters to prove the non-vanishing of theta functions on the positive real axis. In this case, this implies in particular that the associated L-functions don’t vanish on the same axis
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Bsaisou, Jan [Verfasser]. "Electric Dipole Moments of Light Nuclei in Chiral Effective Field Theory / Jan Bsaisou." Bonn : Universitäts- und Landesbibliothek Bonn, 2014. http://d-nb.info/1052061052/34.

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Aiello, Gordon J. "An application of the theory of moments to Euclidean relativistic quantum mechanical scattering." Diss., University of Iowa, 2017. https://ir.uiowa.edu/etd/5902.

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One recipe for mathematically formulating a relativistic quantum mechanical scattering theory utilizes a two-Hilbert space approach, denoted by $\mathcal{H}$ and $\mathcal{H}_{0}$, upon each of which a unitary representation of the Poincaré Lie group is given. Physically speaking, $\mathcal{H}$ models a complicated interacting system of particles one wishes to understand, and $\mathcal{H}_{0}$ an associated simpler (i.e., free/noninteracting) structure one uses to construct 'asymptotic boundary conditions" on so-called scattering states in $\mathcal{H}$. Simply put, $\mathcal{H}_{0}$ is an attempted idealization of $\mathcal{H}$ one hopes to realize in the large time limits $t\rightarrow\pm\infty$. The above considerations lead to the study of the existence of strong limits of operators of the form $e^{iHt}Je^{-iH_{0}t}$, where $H$ and $H_{0}$ are self-adjoint generators of the time translation subgroup of the unitary representations of the Poincaré group on $\mathcal{H}$ and $\mathcal{H}_{0}$, and $J$ is a contrived mapping from $\mathcal{H}_{0}$ into $\mathcal{H}$ that provides the internal structure of the scattering asymptotes. The existence of said limits in the context of Euclidean quantum theories (satisfying precepts known as the Osterwalder-Schrader axioms) depends on the choice of $J$ and leads to a marvelous connection between this formalism and a beautiful area of classical mathematical analysis known as the Stieltjes moment problem, which concerns the relationship between numerical sequences $\{\mu_{n}\}_{n=0}^{\infty}$ and the existence/uniqueness of measures $\alpha(x)$ on the half-line satisfying \begin{equation*} \mu_{n}=\int_{0}^{\infty}x^{n}d\alpha(x). \end{equation*}
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Books on the topic "Theory of moments"

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Knight, James. A theory of moments. Hachette Australia, 2009.

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Institute, British Film, ed. Film moments: Criticism, history, theory. Palgrave Macmillan on behalf of the British Film Institute, 2010.

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Anastassiou, George A. Moments in probability and approximation theory. Longman Scientific & Technical, 1993.

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Generalized method of moments. Oxford University Press, 2005.

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Shaeffer, John F. MOM3D method of moments code: Theory manual. Lockheed Advanced Development Co., 1992.

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The quantum story: A history in 40 moments. Oxford University Press, 2011.

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Moments, monodromy, and perversity: A diophantine perspective. Princeton University Press, 2005.

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Stark, A. F. Coupled cluster theory, sum rules and the method of moments. UMIST, 1995.

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R, Wallis James, ed. Regional frequency analysis: An approach based on L-moments. Cambridge University Press, 1997.

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Levon, A. I. Ėlektromagnitnye momenty vozbuzhdennykh i radioaktivnykh i͡a︡der. Nauk. dumka, 1989.

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Book chapters on the topic "Theory of moments"

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Gupta, Vijay, Themistocles M. Rassias, P. N. Agrawal, and Ana Maria Acu. "Moment Generating Functions and Central Moments." In Recent Advances in Constructive Approximation Theory. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-92165-5_1.

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Speed, T. P. "Invariant Moments and Cumulants." In Coding Theory and Design Theory. Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4615-6654-0_24.

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Karnovsky, Igor A., and Evgeniy Lebed. "Krein Moments Method." In Theory of Vibration Protection. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28020-2_11.

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Obata, Nobuaki. "Analytic Theory of Moments." In Spectral Analysis of Growing Graphs. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-3506-7_5.

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Barkeshli, Kasra, and Sina Khorasani. "Method of Moments." In Advanced Electromagnetics and Scattering Theory. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-11547-4_9.

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Helias, Moritz, and David Dahmen. "Probabilities, Moments, Cumulants." In Statistical Field Theory for Neural Networks. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-46444-8_2.

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Cercignani, Carlo, and Gilberto Medeiros Kremer. "Method of Moments." In The Relativistic Boltzmann Equation: Theory and Applications. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8165-4_6.

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Delgado, Richard, and Jean Stefancic. "Discerning Critical Moments." In Handbook of Critical Race Theory in Education, 2nd ed. Routledge, 2021. http://dx.doi.org/10.4324/9781351032223-4.

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Kemal, Salim. "The Third and Fourth Moments." In Kant’s Aesthetic Theory. Palgrave Macmillan UK, 1992. http://dx.doi.org/10.1007/978-1-349-21943-8_4.

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Kemal, Salim. "The Third and Fourth Moments." In Kant's Aesthetic Theory. Palgrave Macmillan UK, 1997. http://dx.doi.org/10.1057/9780230389076_4.

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Conference papers on the topic "Theory of moments"

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Ohki, Hiroshi, Taku Izubuchi, Michael Abramczyk, Tom Blum, and Sergey Syritsyn. "Calculation of Nucleon Electric Dipole Moments Induced by Quark Chromo-Electric Dipole Moments." In 34th annual International Symposium on Lattice Field Theory. Sissa Medialab, 2017. http://dx.doi.org/10.22323/1.256.0398.

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Ohtani, Munehisa, Dirk Broemmel, Meinulf Goeckeler, et al. "Moments of generalized parton distributions and quark angular momentum of the nucleon." In The XXV International Symposium on Lattice Field Theory. Sissa Medialab, 2008. http://dx.doi.org/10.22323/1.042.0158.

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Sachdev, Subir. "Local moments near the metal-insulator transition." In Frontiers in condensed matter theory. AIP, 1990. http://dx.doi.org/10.1063/1.39735.

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Hu Shaowei and Ye Xiangfei. "Computation of secondary moments in prestressed continues beam based on moment area theory." In 2011 International Conference on Electric Technology and Civil Engineering (ICETCE). IEEE, 2011. http://dx.doi.org/10.1109/icetce.2011.5774228.

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Schafer, Andreas, Meinulf Gockeler, Philipp Haegler, et al. "Moments of Generalized Tensor Parton Distributions." In XXIIIrd International Symposium on Lattice Field Theory. Sissa Medialab, 2005. http://dx.doi.org/10.22323/1.020.0055.

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Venkataramana, A., and P. Ananth Raj. "Image Watermarking Using Krawtchouk Moments." In 2007 International Conference on Computing: Theory and Applications (ICCTA'07). IEEE, 2007. http://dx.doi.org/10.1109/iccta.2007.72.

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Heim, Axel, Vladimir Sidorenko, and Ulrich Sorger. "Computation of Moments in the Trellis." In 2008 IEEE International Symposium on Information Theory - ISIT. IEEE, 2008. http://dx.doi.org/10.1109/isit.2008.4595441.

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Tiburzi, Brian, William Detmold, and Andre Walker-Loud. "Nucleon magnetic moments and electric polarizabilities." In The XXVIII International Symposium on Lattice Field Theory. Sissa Medialab, 2011. http://dx.doi.org/10.22323/1.105.0161.

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Milanfar, Peyman, Mihai Putinar, James Varah, Bjoern Gustafsson, and Gene H. Golub. "Shape reconstruction from moments: theory, algorithms, and applications." In International Symposium on Optical Science and Technology, edited by Franklin T. Luk. SPIE, 2000. http://dx.doi.org/10.1117/12.406519.

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Yoon, Boram, Tanmoy Bhattacharya, Vincenzo Cirigliano, and Rajan Gupta. "Neutron Electric Dipole Moments with Clover Fermions." In 37th International Symposium on Lattice Field Theory. Sissa Medialab, 2020. http://dx.doi.org/10.22323/1.363.0243.

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Reports on the topic "Theory of moments"

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Dunlap, Brett I., Shashi P. Karna, and Rajendra R. Zope. Dipole Moments From Atomic-Number-Dependent Potentials in Analytic Density-Functional Theory. Defense Technical Information Center, 2010. http://dx.doi.org/10.21236/ada522802.

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Walston, S. Thoughts on Uncertainties in the Moments Formalism of the Statistical Theory of Fission Chains. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1108857.

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Zakharov, V. E., and E. Kuznetsov. Sea-Air Exchange of Energy and Moments Under Well-Developed Sea Conditions: Theory and Experiment. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada298497.

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Vayanos, Dimitri, and Paul Woolley. An Institutional Theory of Momentum and Reversal. National Bureau of Economic Research, 2008. http://dx.doi.org/10.3386/w14523.

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Mahler, Ronald. Multitarget Moments and their Application to Multitarget Tracking. Defense Technical Information Center, 2001. http://dx.doi.org/10.21236/ada414365.

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Hahm, T. S., P. H. Diamond, O. D. Gurcan, and G. Rewoldt. Comment on Turbulent Equipartition Theory of Toroidal Momentum Pinch. Office of Scientific and Technical Information (OSTI), 2009. http://dx.doi.org/10.2172/951303.

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Butler, Chalmers M. Analysis and Design of Antenna Structures - Diakoptic Theory and the Moment Method. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada230838.

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Hong, Harrison, and Jeremy Stein. A Unified Theory of Underreaction, Momentum Trading and Overreaction in Asset Markets. National Bureau of Economic Research, 1997. http://dx.doi.org/10.3386/w6324.

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Cheng, H. K. To Extend the Thirteen-Moment Theory and Its Application to Problems in Rarefied Hypersonic Flow. Defense Technical Information Center, 1993. http://dx.doi.org/10.21236/ada267384.

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Zakharov, V. E. Air Sea Exchanges of Energy and Momentum Under Well-Developed Sea Conditions: Theory and Experiment. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada294228.

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