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Books on the topic 'Continuous variation'

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Published: 4 June 2021
Last updated: 8 February 2022

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1

Serpieri, Roberto, and Francesco Travascio. Variational Continuum Multiphase Poroelasticity. Singapore: Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-3452-7.

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2

Berdichevsky, Victor. Variational Principles of Continuum Mechanics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-88467-5.

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3

Berdichevsky, Victor. Variational Principles of Continuum Mechanics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-88469-9.

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4

Berdichevsky, Victor. Variational Principles of Continuum Mechanics: I. Fundamentals. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2009.

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5

service), SpringerLink (Online, ed. Variational Principles of Continuum Mechanics: II. Applications. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2009.

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6

Fischer, Johann Christian. Minuet with variations for the oboe. Spokane, Wash: B&D Publications, 1987.

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7

Lopez, Ana Maria Rojo. Patterned variation in second language speech: Bialystok's processing continuum model. Salford: University of Salford, 1993.

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8

Variational principles of continuum mechanics with engineering applications. Dordrecht: D. Reidel Pub. Co., 1986.

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9

Komkov, Vadim. Variational Principles of Continuum Mechanics with Engineering Applications. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4564-7.

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10

Komkov, Vadim. Variational Principles of Continuum Mechanics with Engineering Applications. Dordrecht: Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-2869-5.

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11

Dell'Isola, Francesco, and Sergey Gavrilyuk. Variational models and methods in solid and fluid mechanics. Wien: Springer Verlag, 2011.

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12

Komkov, Vadim. The critical points theory and the variational principles in continuous mechanics of solids. Wrocław: Wydawnictwo Politechniki Wrocławskiej, 1985.

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13

Clarke, Francis. Functional Analysis, Calculus of Variations and Optimal Control. London: Springer London, 2013.

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14

Simpson, Christopher. The division-violist, or, An introduction to the playing upon a ground: Divided into two parts : the first, directing the hand, with other preparative instructions : the second, laying open the manner and method of playing ex-tempore, or composing division to a ground : to which, are added some divisions made upon grounds for the practice of learners. New York: Performers' Editions, 1998.

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15

Dym, Clive L. Solid Mechanics: A Variational Approach, Augmented Edition. New York, NY: Springer New York, 2013.

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16

Yin, George. Continuous-Time Markov Chains and Applications: A Two-Time-Scale Approach. 2nd ed. New York, NY: Springer New York, 2013.

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17

The musical guide: Parts 1 (1700/10), 2 (1721), and 3 (1717). Oxford: Clarendon, 1989.

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18

Niedt, Friederich Erhardt. The musical guide. Oxford [England]: Clarendon Press, 1989.

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19

Musikalische Handleitung: Teil I-III in einem Band (1710, 1721, 1717) ; Teil III ist beigebunden: Veritophil [d.i. Christoph Raupach], Deutliche Beweisgründe, worauf der rechte Gebrauch der Music, beydes in den Kirchen als ausser denselben beruhet. 2nd ed. Hildesheim: Olms, 2003.

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20

Rosen, I. Gary. Spline-based Rayleigh-Ritz methods for the approximation of the natural modes of vibration for flexible beams with tip bodies. Hampton, Va: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1985.

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21

Aldo, Frediani, and SpringerLink (Online service), eds. Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design: Contributions from a Workshop held at the School of Mathematics in Erice, Italy. Boston, MA: Springer US, 2012.

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22

Elwood, Mark. Chance variation. Oxford University Press, 2017. http://dx.doi.org/10.1093/med/9780199682898.003.0008.

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This chapter explains chance variation and statistical tests, including discrete and continuous measures, the concept of significance, one and two sided test, exact tests, precision and confidence limits. It shows tests of differences in proportions and chi-square tests, the Mantel-Haenszel test, and calculation of confidence limits, for simple tables and for stratified data. It covers heterogeneity tests, multiplicative and additive models, ordered exposure variables and tests of trend. It explains statistical tests for matched studies and in multivariate models. Multiple testing, the Bonferroni correction, issues of hypothesis testing and hypothesis generation, and subgroup analyses are discussed. Stopping rules and repeated testing in trials is covered. It explains how to calculate study power and the necessary size of the study. The chapter describes time to event analysis, including survival curves, product-limit and actuarial or life-table methods, and the calculation of confidence limits, relative survival ratios, the log rank test with control for confounding, and multivariate analysis.
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23

Effects on microwave power output of size of load, continuous (intermittent) use, position of load, and variation in mains supply voltage. London: MAFF Publications, 1994.

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24

Mann, Peter. The Stationary Action Principle. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0007.

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This crucial chapter focuses on the stationary action principle. It introduces Lagrangian mechanics, using first-order variational calculus to derive the Euler–Lagrange equation, and the inverse problem is described. The chapter then considers the Ostrogradsky equation and discusses the properties of the extrema using the second-order variation to the action. It then discusses the difference between action functions (of Dirichlet boundary conditions) and action functionals of the extremal path. The different types of boundary conditions (Dirichlet vs Neumann) are elucidated. Topics discussed include Hessian conditions, Douglas’s theorem, the Jacobi last multiplier, Helmholtz conditions, Noether-type variation and Frenet–Serret frames, as well as concepts such as on shell and off shell. Actions of non-continuous extremals are examined using Weierstrass–Erdmann corner conditions, and the action principle is written in the most general form as the Hamilton–Suslov principle. Important applications of the Euler–Lagrange formulation are highlighted, including protein folding.
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25

Ramsay, James. Curve registration. Edited by Frédéric Ferraty and Yves Romain. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780199568444.013.9.

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This article deals with curve registration, which refers to methods for aligning prominent features in a set of curves by transforming their abscissa variables. It first illustrates the concepts of amplitude and phase variation schematically and with real data before defining the time-warping functions and their functional inverse. It then describes the decomposition of total mean squared variation into separate amplitude and phase components, along with an R2 measure of the proportion of functional variation due to phase in a sample of curves. It also considers landmark registration, novel ways of defining curve features, continuous registration, and methods based on structured models for amplitude and phase variation combined with more statistically oriented fitting methods such as maximum likelihood or Bayesian estimation. The article concludes with a brief survey of software resources for registration.
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26

1933-, Hlaváček Ivan, ed. Solution of variational inequalities in mechanics. New York: Springer Verlag, 1988.

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27

Berdichevsky, Victor L. Variational Principles of Continuum Mechanics. Springer, 2009.

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28

Boucher, Anna. Female High-Skilled Migration. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198815273.003.0004.

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States and employers are increasingly selecting highly skilled immigrants according to labour market qualifications and broad human capital attributes. This chapter considers the gender implications of the focus on skills through an examination of the different career trajectories of men and women. In particular, it considers the acknowledgement of part-time and non-continuous work in skilled immigration policy design as well as the potentially discriminatory effects of age limits. In doing so, it applies feminist theories from industrial relations and economics to the examination of skilled immigration policies in twelve countries, demonstrating variation across countries in their awareness to gender concerns.
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29

Isett, Philip. Energy Approximation. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.003.0023.

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This chapter presents the equations and calculations for energy approximation. It establishes the estimates (261) and (262) of the Main Lemma (10.1) for continuous solutions; these estimates state that we are able to accurately prescribe the energy that the correction adds to the solution, as well as bound the difference between the time derivatives of these two quantities. The chapter also introduces the proposition for prescribing energy, followed by the relevant computations. Each integral contributing to the other term can be estimated. Another proposition for estimating control over the rate of energy variation is given. Finally, the coarse scale material derivative is considered.
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30

Stazicker, James. The Visual Presence of Determinable Properties. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199666416.003.0005.

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This chapter explains and defends a way of understanding the idea that properties of things, such as their shapes and colours, are visually present to a subject of experience. One central challenge to this idea concerns the discrimination of visible properties which, like shape and colour, admit of continuous variation. In response to this challenge, it is argued that the idea of the visual presence of a property is coherent, well-motivated, and empirically plausible, provided that we reject two traditional assumptions: (i) that maximally determinate properties, rather than just determinable properties, are visually present; (ii) that we can tell through introspection exactly which properties are visually present to us.
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31

Serpieri, Roberto, and Francesco Travascio. Variational Continuum Multiphase Poroelasticity: Theory and Applications. Springer, 2018.

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32

Serpieri, Roberto, and Francesco Travascio. Variational Continuum Multiphase Poroelasticity: Theory and Applications. Springer, 2017.

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33

Gelfand, Alan, and Sujit K. Sahu. Models for demography of plant populations. Edited by Anthony O'Hagan and Mike West. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198703174.013.17.

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This article discusses the use of Bayesian analysis and methods to analyse the demography of plant populations, and more specifically to estimate the demographic rates of trees and how they respond to environmental variation. It examines data from individual (tree) measurements over an eighteen-year period, including diameter, crown area, maturation status, and survival, and from seed traps, which provide indirect information on fecundity. The multiple data sets are synthesized with a process model where each individual is represented by a multivariate state-space submodel for both continuous (fecundity potential, growth rate, mortality risk, maturation probability) and discrete states (maturation status). The results from plant population demography analysis demonstrate the utility of hierarchical modelling as a mechanism for the synthesis of complex information and interactions.
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34

Butt, Miriam, and Ashwini Deo. Developments into and Out of Ergativity: Indo-Aryan Diachrony. Edited by Jessica Coon, Diane Massam, and Lisa Demena Travis. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780198739371.013.22.

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This chapter takes a close look at ergativity in Indo-Aryan, the only language family for which we have a continuous attested record for over three thousand years. Old Indo-Aryan did not have an over ergative case whereas many of the New Indo-Aryan languages do. It tracks the diachronic trajectory of a result-stative construction from Old Indo-Aryan to its reanalysis as an ergative construction in Middle Indo-Aryan and explore the variation found in further developments in New Indo-Aryan languages, wherein several languages lose aspects of the ergative system, or innovate morphological material to reinforce the structural pattern. We discuss the relationship of ergativity to various structural and semantic factors that have been adduced in the literature. This includes agreement patterns, possessors, aspect, evidentiality and various lexical semantic factors.
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35

Lyman, R. Lee. Graphing Culture Change in North American Archaeology. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198871156.001.0001.

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Documentation, analysis, and explanation of culture change have long been goals of archaeology. The earliest archaeological spindle graphs appeared in the 1880s and 1890s, but had no influence on subsequent archaeologists. Line graphs showing change in frequencies of specimens in each of several artifact types were used in the 1910s and 1920s. Seriograms or straight-sided spindles diagraming interpretations of culture change were published in the 1930s, but were seldom subsequently mimicked. Spindle graphs of centered and stacked columns of bars, each column representing a distinct artifact type, each bar the empirically documented relative frequency of specimens in an assemblage, were developed in the 1940s, became popular in the 1950s and 1960s, and are often used to illustrate culture change in textbooks published during the twentieth century. Graphs facilitate visual thinking, different graph types suggest different ontologies and theories of change, and particular techniques of parsing temporally continuous morphological variation of artifacts into types influence graph form. Line graphs, bar graphs, spindle diagrams, and phylogenetic trees of artifacts and cultures indicate archaeologists often mixed elements of Darwinian variational evolutionary change with elements of Midas-touch-like transformational change. Today there is minimal discussion of graph theory or graph grammar in both introductory archaeology textbooks and advanced texts, and elements of the two theories of evolution are often mixed. Culture has changed, and despite archaeology’s unique access to the totality of humankind’s cultural past, there is minimal discussion on graph theory, construction, and decipherment in the archaeological literature.
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36

Shaw, Philip, and Eszter Szekely. Insights from neuroanatomical imaging into ADHD throughout the lifespan. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780198739258.003.0008.

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The relatively recent advent of magnetic resonance imaging has given us an invaluable ‘window’ into the brain in ADHD. Here we review the literature on the structural neuroimaging of ADHD throughout the lifespan. Meta-analyses and large individual studies converge to find anomalies in the basal ganglia in ADHD; some appear developmentally stable, while others are progressive. Compromise of the cerebral cortex and cerebellum are also commonly reported, and developmental trajectories of these structures have been linked with the highly variable clinical course of the disorder. ADHD can be considered dimensionally, lying at the extreme end of a continuous distribution of symptoms and underlying cognitive processes. Some studies find such dimensionality is also present in ADHD-related neuroanatomical change. Pilot studies have examined how variation in some candidate genes is tied to neuroanatomy in the disorder. Studies at the level of the entire genome await much larger cohorts.
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37

Guy, Bouchitté, Buttazzo Giuseppe, and Suquet Pierre, eds. Calculus of variations, homogenization and continuum mechanics: June 21-25, 1993, CIRM-Luminy, Marseille, France. Singapore: World Scientific, 1994.

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38

(Editor), Giuseppe Buttazzo, Guy Bouchitte (Editor), and Pierre Suquet (Editor), eds. Calculus of Variations, Homogenization and Continuum Mechanics: June 21-25, Cirm-Luminy, Marseille, France (Series on Advances in Mathematics for Applied Sciences). World Scientific Publishing Company, 1994.

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39

Clarke, Francis. Functional Analysis, Calculus of Variations and Optimal Control. Springer, 2013.

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40

Clarke, Francis. Functional Analysis, Calculus of Variations and Optimal Control. Springer, 2015.

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41

Luis Manuel Braga de Costa Campos. Continuum Electromechanics with Variational Calculus (Mathematical-Physics for Science and Technology). CRC, 2010.

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42

de Heer, Marcel, and Thomas V. Papathomas. The Ames Window Illusion and Its Variations. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780199794607.003.0014.

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This chapter presents a brief history of the Ames window illusion, in which a trapezoid with its long and short sides in a vertical position rotates continuously in the same direction about a vertical axis. It creates the illusion of oscillating back and forth. An explanation is offered that is based on humans’ tendency to perceive a trapezoid as a slanted rectangle; according to this explanation, when the long base of the trapezoid is behind the short base, viewers perceive it to be in front, thus reversing depth and, consequently, reversing the direction of rotation. The chapter tries to see this illusion in a broader perspective and includes many compelling variations of the Ames window illusion.
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43

Howard, Martin, Raymond Mougeon, and Jean-Marc Dewaele. Sociolinguistics and Second Language Acquisition. Edited by Robert Bayley, Richard Cameron, and Ceil Lucas. Oxford University Press, 2013. http://dx.doi.org/10.1093/oxfordhb/9780199744084.013.0017.

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While the focus on sociolinguistic and sociopragmatic variation is relatively new, linguistic variation continues to be an important issue that SLA research has grappled with. By linguistic variation, one understands the learner’s variable use of two or more L2 forms to express the same functional value, where one or all forms are nonnative. This chapter focuses on type II variation and presents an overview of the research findings that illuminate the challenge to the learner of developing sociolinguistic and sociopragmatic competence in the L2. While the application of sociolinguistic variationist methods to the study of type II variation has been relatively recent in SLA research, such methods have also been fruitfully used by some SLA researchers in relation to type I variation.
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44

Hellman, Geoffrey, and Stewart Shapiro. The Matter of Points. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198712749.003.0007.

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This chapter turns to metaphysical matters. Some analytic metaphysicians have occupied themselves with the nature (or the possible nature) of space and time (or space–time), and with the relationship between physical objects and the regions of space or space–time they occupy. Some of the issues concern the boundaries of objects and the notion of contact. The first goal is to give a somewhat biased overview of a portion of this literature, arguing that many of the issues are much easier to negotiate if we assume a regions-based space or space–time. The chapter then turns to some apparent limitations of the semi-Aristotelian accounts of space or space–time. For example, the natural analogue of Lebesgue measure is not countably additive (although it is finitely additive), and there seems to be no straightforward way to account for continuous variation in our frameworks other than by just introducing “points” via “extensive abstraction”. Finally, the question is broached of adjudicating whether space or space–time really is punctiform. The tight connection between our regions-based, gunky theories and the more standard Dedekind–Cantor punctiform theories indicates that space or space–time can be described, completely and adequately either way.
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45

Komkov, Vadim. Variational Principles of Continuum Mechanics with Engineering Applications : Volume 1: Critical Points Theory. Springer, 2012.

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46

Komkov, V. Variational Principles of Continuum Mechanics with Engineering Applications: Introduction to Optimal Design Theory. Springer, 2011.

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47

1951-, Serapioni Raul, and Tomarelli Franco 1955-, eds. Variational methods for discontinuous structures: Applications to image segmentation, continuum mechanics, homogenization : Villa Olmo, Como, 8-10 September 1994. Basel: Birkhäuser, 1996.

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48

Variational Methods for Discontinuous Structures: Applications to Image Segmentation, Continuum Mechanics, Homogenization: Villa Olmo, Como, 8-10 Sept (Exs). Birkhauser, 1996.

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49

Shames, Irving H., and Clive L. Dym. Solid Mechanics: A Variational Approach, Augmented Edition. Springer, 2013.

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50

Shames, Irving H., and Clive L. Dym. Solid Mechanics: A Variational Approach, Augmented Edition. Springer, 2013.

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