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Books on the topic 'Exact and approximate inferences'

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Author: Grafiati

Published: 25 May 2024

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1

Reinhard, Klette, ed. Euclidean shortest paths: Exact or approximate algorithms. London: Springer-Verlag, 2011.

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2

Queueing networks with blocking: Exact and approximate solutions. New York: Oxford University Press, 1994.

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3

Chang, Yin-Wen. Exact and Approximate Methods for Machine Translation Decoding. [New York, N.Y.?]: [publisher not identified], 2015.

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4

Ivan, Markovsky, ed. Exact and approximate modeling of linear systems: A behavioral approach. Philadelphia: Society for Industrial and Applied Mathematics, 2006.

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5

Kiss, Istvan Z. Mathematics of Epidemics on Networks: From Exact to Approximate Models. Cham: Springer International Publishing, 2017.

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6

Chen, Hsing-Ta. Delving Into Dissipative Quantum Dynamics: From Approximate to Numerically Exact Approaches. [New York, N.Y.?]: [publisher not identified], 2016.

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7

Glowinski, R. Exact and approximate controllability for distributed parameter systems: A numerical approach. New York: Cambridge University Press, 2008.

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8

Hartley, T. T. Exact and approximate solutions to the oblique shock equations for real-time applications. [Akron, Ohio: University of Akron, Electrical Engineering Dept., 1991.

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9

Burstein, Joseph. Exact numerical solutions of nonlinear differential equations, short algorithms: After three centuries of approximate methods. Boston: Metrics Press, 2002.

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10

Klette, Reinhard, and Fajie Li. Euclidean Shortest Paths: Exact or Approximate Algorithms. Springer London, Limited, 2014.

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11

Klette, Reinhard, and Li Fajie. Euclidean Shortest Paths: Exact or Approximate Algorithms. Springer, 2011.

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12

Kiss, István Z., Joel C. Miller, and Péter L. Simon. Mathematics of Epidemics on Networks: From Exact to Approximate Models. Springer, 2018.

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13

Kiss, István Z., Joel C. Miller, and Péter L. Simon. Mathematics of Epidemics on Networks: From Exact to Approximate Models. Springer, 2017.

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14

Exact and approximate modeling of linear systems: A behavioral approach. Philadelphia, PA: Society for Industrial and Applied Mathematics, 2006.

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15

Lions, Jacques Louis. Exact and Approximate Controllability for Distributed Parameter Systems: A Numerical Approach. Cambridge University Press, 2012.

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16

Lions, Jacques Louis. Exact and Approximate Controllability for Distributed Parameter Systems: A Numerical Approach. Cambridge University Press, 2008.

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17

Lions, Jacques Louis. Exact and Approximate Controllability for Distributed Parameter Systems: A Numerical Approach. Cambridge University Press, 2010.

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18

National Aeronautics and Space Administration (NASA) Staff. Exact and Approximate Solutions to the Oblique Shock Equations for Real-Time Applications. Independently Published, 2018.

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19

Gilmore, Camilla. Approximate Arithmetic Abilities in Childhood. Edited by Roi Cohen Kadosh and Ann Dowker. Oxford University Press, 2014. http://dx.doi.org/10.1093/oxfordhb/9780199642342.013.006.

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This article reviews recent research exploring children’s abilities to perform approximate arithmetic with non-symbolic and symbolic quantities, and considers what role this ability might play in mathematics achievement. It has been suggested that children can use their approximate number system (ANS) to solve approximate arithmetic problems before they have been taught exact arithmetic in school. Recent studies provide evidence that preschool children can add, subtract, multiply, and divide non-symbolic quantities represented as dot arrays. Children can also use their ANS to perform simple approximate arithmetic with non-symbolic quantities presented in different modalities (e.g. sequences of tones) or even with symbolic representations of number. This article reviews these studies, and consider whether children’s performance can be explained through the use of alternative non-arithmetical strategies. Finally, it discusses the potential role of this ability in the learning of formal symbolic mathematics.

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20

Hesse, Derek H. Practical applicability of exact and approximate forms of the randomization test for two independent samples. 1987.

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21

Lions, Jacques Louis. Exact and Approximate Controllability for Distributed Parameter Systems: A Numerical Approach (Encyclopedia of Mathematics and its Applications). Cambridge University Press, 2008.

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22

Examination of the Use of Exact Versus Approximate Phase Weights on the Performance of a Synthetic Aperture Sonar System. Storming Media, 2003.

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23

Willems, Jan C., Sabine Van Huffel, Ivan Markovsky, and Bart De Moor. Exact and Approximate Modeling of Linear Systems: A Behavioral Approach (Mathematical Modeling and Computation) (Monographs on Mathematical Modeling and Computation). Society for Industrial & Applied, 2006.

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24

Henriksen, Niels Engholm, and Flemming Yssing Hansen. Bimolecular Reactions, Transition-State Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805014.003.0006.

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This chapter discusses an approximate approach—transition-state theory—to the calculation of rate constants for bimolecular reactions. A reaction coordinate is identified from a normal-mode coordinate analysis of the activated complex, that is, the supermolecule on the saddle-point of the potential energy surface. Motion along this coordinate is treated by classical mechanics and recrossings of the saddle point from the product to the reactant side are neglected, leading to the result of conventional transition-state theory expressed in terms of relevant partition functions. Various alternative derivations are presented. Corrections that incorporate quantum mechanical tunnelling along the reaction coordinate are described. Tunnelling through an Eckart barrier is discussed and the approximate Wigner tunnelling correction factor is derived in the limit of a small degree of tunnelling. It concludes with applications of transition-state theory to, for example, the F + H2 reaction, and comparisons with results based on quasi-classical mechanics as well as exact quantum mechanics.

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25

Melnikov, D. V., J. Kim, L. X. Zhang, and J. P. Leburton. Few-electron quantum-dot spintronics. Edited by A. V. Narlikar and Y. Y. Fu. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199533060.013.2.

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This article examines the spin and charge properties of double and triple quantum dots (QDs) populated containing just a few electrons, with particular emphasis on laterally coupled QDs. It first describes the theoretical approach, known as exact diagonalization method, utilized on the example of the two-electron system in coupled QDs that are modelled as two parabolas. The many-body problem is solved via the exact diagonalization method as well as variational Heitler–London and Monte Carlo methods. The article proceeds by considering the general characteristics of the two-electron double-QD structure and limitations of the approximate methods commonly used for its theoretical description. It also discusses the stability diagram for two circular dots and investigates how its features are affected by the QD elliptical deformations. Finally, it assesses the behavior of the two-electron system in the realistic double-dot confinement potentials.

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26

Henriksen, Niels Engholm, and Flemming Yssing Hansen. Rate Constants, Reactive Flux. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805014.003.0005.

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This chapter discusses a direct approach to the calculation of the rate constant k(T) that bypasses the detailed state-to-state reaction cross-sections. The method is based on the calculation of the reactive flux across a dividing surface on the potential energy surface. Versions based on classical as well as quantum mechanics are described. The classical version and its relation to Wigner’s variational theorem and recrossings of the dividing surface is discussed. Neglecting recrossings, an approximate result based on the calculation of the classical one-way flux from reactants to products is considered. Recrossings can subsequently be included via a transmission coefficient. An alternative exact expression is formulated based on a canonical average of the flux time-correlation function. It concludes with the quantum mechanical definition of the flux operator and the derivation of a relation between the rate constant and a flux correlation function.

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27

Uittenhove, Kim, and Patrick Lemaire. Numerical Cognition during Cognitive Aging. Edited by Roi Cohen Kadosh and Ann Dowker. Oxford University Press, 2014. http://dx.doi.org/10.1093/oxfordhb/9780199642342.013.045.

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This chapter provides an overview of age-related changes and stabilities in numerical cognition. For each component (i.e. approximate and exact number system, quantification, and arithmetic) of numerical cognition, we review changes in participants’ performance during normal and pathological aging in a wide variety of tasks (e.g. number comparison, subitizing, counting, and simple or complex arithmetic problem-solving). We discuss both behavioral and neural mechanisms underlying these performance variations. Moreover, we highlight the importance of taking into account strategic variations. Indeed, investigating strategy repertoire (i.e. how young and older adults accomplish numerical cognitive tasks), selection (i.e. how participants choose strategies on each problem), execution (i.e. how strategies are implemented once selected), and distribution (i.e. how often participants use each available strategy) enables to determine sources of aging effects and individual differences in numerical cognition. Finally, we discuss potential future research to further our understanding of age-related changes in numerical cognition.

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28

Thun, Michael J., Martha S. Linet, James R. Cerhan, Christopher A. Haiman, and David Schottenfeld. Introduction. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780190238667.003.0001.

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This Introduction provides a broad overview of the scientific advances and crosscutting developments that increasingly influence epidemiologic research on the causes and prevention of cancer. High-throughput technologies have identified the molecular “driver” events in tumor tissue that underlie the multistage development of many types of cancer. These somatic (largely acquired) alterations disrupt normal genetic and epigenetic control over cell maintenance, division and survival. Tumor classification is also changing to reflect the genetic and molecular alterations in tumor tissue, as well as the anatomic, morphologic, and histologic phenotype of the cancer. Genome-wide association studies (GWAS) have identified more than 700 germline (inherited) genetic loci associated with susceptibility to various forms of cancer, although the risk estimates for almost all of these are small to modest and their exact location and function remain to identified. Advances in genomic and other “OMIC” technologies are identifying biomarkers that reflect internal exposures, biological processes and intermediate outcomes in large population studies. While research in many of these areas is still in its infancy, mechanistic and molecular assays are increasingly incorporated into etiologic studies and inferences about causation. Other sections of the book discuss the global public health impact of cancer, the growing list of exposures known to affect cancer risk, the epidemiology of over 30 types of cancer by tissue of origin, and preventive interventions that have dramatically reduced the incidence rates of several major cancers.

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