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1

J, Berry Kenneth, ed. Permutation methods: A distance function approach. 2nd ed. New York: Springer, 2007.

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2

Hyperbolic complex spaces. Berlin: Springer, 1998.

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3

Kumar, Surender. Analysing industrial water demand in India: An input distance function approach. New Delhi: Publications Unit, National Institute of Public Finance and Policy, 2004.

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4

Mandal, Sabuj Kumar. Energy use efficiency in Indian cement industry: Application of data envelopment analysis and directional distance function. Bangalore: Institute for Social and Economic Change, 2009.

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5

S, Madheswaran, and Institute for Social and Economic Change, eds. Energy use efficiency in Indian cement industry: Application of data envelopment analysis and directional distance function. Bangalore: Institute for Social and Economic Change, 2009.

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6

Kumar, Surender. Resource use efficiency of US electricity generating plants during the SO₂ trading regime: A distance function approach. New Delhi: National Institute of Public Finance and Policy, 2004.

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7

Kumar, Surender. Resource use efficiency of US electricity generating plants during the SO₂ trading regime: A distance function approach. New Delhi: National Institute of Public Finance and Policy, 2004.

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8

Hailu, Atakelty. Environmentally sensitive productivity analysis of the Canadian pulp and paper industry, 1959-1994: An input distance function approach. Edmonton, Alta: Sustainable Forest Management Network, 1998.

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9

Gupta, Manish. Estimation of marginal abatement costs for undesirable outputs in India's power generation sector: An output distance function approach. New Delhi: Publications Unit, National Institute of Public Finance and Policy, 2005.

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10

1941-, Hag Kari, and Broch Ole Jacob, eds. The ubiquitous quasidisk. Providence, Rhode Island: American Mathematical Society, 2012.

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11

Liese, Friedrich. Convex statistical distances. Leipzig, Germany: Teubner, 1987.

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12

Power, Paul Alexander. The death of distance: An appraisal of "customer service" in the computer industry and the factors influencing North-American computer companies to base a customer service function in Ireland. Dublin: University College Dublin, 1996.

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13

Liese, Friedrich. Convex statistical distances. Leipzig: B.G. Teubner Verlagsgesellschaft, 1987.

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14

Smith, John R. Aircraft performance explanation for takeoff from a high altitude airport: Takeoff distance, velocity, and time are presented as a function of aircraft weight, and provide a practical basis for other reliable information. Saarbrücken, Germany: VDM Verlag Dr. Müller, 2008.

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15

Kobayashi, Shoshichi. Hyperbolic complex spaces. Berlin: Springer, 1998.

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16

1943-, Pflug Peter, ed. Invariant distances and metrics in complex analysis. 2nd ed. Berlin: De Gruyter, 2013.

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17

1943-, Pflug Peter, ed. Invariant distances and metrics in complex analysis. Berlin: Walter de Gruyter, 1993.

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18

Schwarz, Marian Lapsley. Television and adult literacy: Potential for access to learning for an unserved population : a review of current programming, its utilization in communities, and emerging opportunities : a report submitted to the Ford Foundation. [New York, N.Y.?]: M.L. Schwarz, 1992.

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19

Riemann surfaces by way of complex analytic geometry. Providence, R.I: American Mathematical Society, 2011.

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20

Humphrey, Caroline, ed. Trust and Mistrust in the Economies of the China-Russia Borderlands. NL Amsterdam: Amsterdam University Press, 2018. http://dx.doi.org/10.5117/9789089649829.

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The first English-language book to focus on northeast Sino-Russian border economies, Trust and Mistrust in the Economies of the China-Russia Borderlands examines how trans-border economies function in practice. The authors offer an anthropological understanding of trust in juxtaposition to the economy and the state. They argue that the history of suspicion and the securitised character of the Sino-Russian border mean that trust is at a premium. The chapters show how diverse kinds of cross-border business manage to operate, often across great distances, despite widespread mistrust.
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21

Silver-Pacuilla, Heidi. Investigating the language and literacy skills required for independent online learning. Washington, DC: National Insititute for Literacy, 2008.

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22

Polyakova, Anna, Tat'yana Sergeeva, and Irina Kitaeva. The continuous formation of the stochastic culture of schoolchildren in the context of the digital transformation of general education. ru: INFRA-M Academic Publishing LLC., 2022. http://dx.doi.org/10.12737/1876368.

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The material presented in the monograph shows the possibilities of continuous teaching of mathematics at school, namely, the significant potential of modern information and communication technologies, with the help of which it is possible to form elements of stochastic culture among students. Continuity in learning is considered from two positions: procedural and educational-cognitive. In addition, a distinctive feature of the book is the presentation of the digital transformation of general education as a way to overcome the "new digital divide". Methodological features of promising digital technologies (within the framework of teaching students the elements of the probabilistic and statistical line) that contribute to overcoming the "new digital divide": artificial intelligence, the Internet of Things, additive manufacturing, machine learning, blockchain, virtual and augmented reality are described. The solution of the main questions of probability theory and statistics in the 9th grade mathematics course is proposed to be carried out using a distance learning course built in the Moodle distance learning system. The content, structure and methodological features of the implementation of the stochastics course for students of grades 10-11 of a secondary school are based on the use of such tools in the educational process as an online calculator for plotting functions, the Wolfram Alpha service, Google Docs and Google Tables services, the Yaklass remote training, the Banktest website.<url>", interactive module "Galton Board", educational website "Mathematics at school". It will be interesting for students, undergraduates, postgraduates, mathematics teachers, as well as specialists improving their qualifications in the field of pedagogical education.
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23

Cammarota, Maria Grazia. Tradurre: un viaggio nel tempo. Venice: Edizioni Ca' Foscari, 2018. http://dx.doi.org/10.30687/978-88-6969-248-2.

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The translation of a text belonging to a culturally distant age is like a journey across time: relying on the guidance of a translator, the new readers can delve into the past and explore a world that otherwise would remain accessible only to a restricted number of experts. Through examples from medieval Germanic texts, the papers collected in this volume offer significant insights into the specific role played by philology in the field of ‘intertemporal translation’, thus casting light on the central function, especially in the current cultural situation, of a discipline that values the ability of ‘reading slowly’ and a respectful approach towards the datum.
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24

Ibragimov, Zair. Topics in several complex variables: First USA-Uzbekistan Conference on Analysis and Mathematical Physics, May 20-23, 2014, California State University, Fullerton, California. Providence, Rhode Island: American Mathematical Society, 2016.

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25

New developments in Lie theory and its applications: Seventh workshop in Lie theory and its applications, November 26-December 1, 2000, Cordoba, Argentina. Providence, R.I: American Mathematical Society, 2011.

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26

Berry, Kenneth J., and Paul W. W. Mielke Jr. Permutation Methods: A Distance Function Approach. Springer, 2010.

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27

Modified interior distance functions (theory and methods). Fairfax, Va: Dept. of Operations Research, School of Information Technology and Engineering, George Mason University, 1995.

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28

Permutation Methods: A Distance Function Approach (Springer Series in Statistics). Springer, 2001.

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29

Mielke, Paul W. Jr, and Kenneth J. Berry. Permutation Methods: A Distance Function Approach (Springer Series in Statistics). Springer, 2007.

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30

1967-, Surender Kumar, and Institute of Economic Growth (India), eds. Measuring cost of environmentally sustainable industrial development in India: A distance function approach. Delhi: Institute of Economic Growth, 2000.

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31

Zaidman, Samuel. Almost-Periodic Functions in Abstract Spaces. Wiley & Sons, Incorporated, John, 1986.

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32

Pricing Nonmarketed Goods Using Distance Functions. World Scientific Publishing Co Pte Ltd, 2019.

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33

Mann, Peter. Matrices. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0031.

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This chapter looks at the calculus of a function of two or more variables, which is the subject of partial differentiation. The partial derivative of a function is the rate of change of the function with respect to the distance in the direction of a particular coordinate axis and is symbolised with the sign ∂. The chapter spends time on the implicit function theorem, since it is relied upon heavily elsewhere in the text. Lagrange multipliers are used to solve constrained optimisation problems. Topics include critical points, the product rule, the chain rule, directional derivatives, hypersurfaces and Taylor’s theorem. In addition, the chapter discusses Jacobian matrices, the inverse function theorem, gradients, level sets and Hessian matrices.
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34

Edmunds, D. E., and W. D. Evans. Essential Spectra of General Second-Order Differential Operators. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198812050.003.0010.

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In this chapter, the operators considered are those m-sectorial operators discussed in Chapter VII, and the essential spectra are the sets defined in Chapter IX that remain invariant under compact perturbation. A generalization of a result of Persson is used to determine the least point of the essential spectrum. Davies’ mean distance function is introduced and consequences investigated.
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35

Tenney, James. The Structure of Harmonic Series Aggregates. Edited by Larry Polansky, Lauren Pratt, Robert Wannamaker, and Michael Winter. University of Illinois Press, 2017. http://dx.doi.org/10.5406/illinois/9780252038723.003.0011.

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James Tenney discusses the structure of harmonic series aggregates and provides a detailed explanation of the genesis of his HD function. He describes, through first principles (perception, simple mathematics), what happens when “two or more compound tones are sounded simultaneously.” Using simple properties of relatively prime (reduced) ratios, the harmonic series, and least common multiples and greatest common divisors, Tenney approaches harmony in the way he had suggested some thirty years earlier: “to start if possible at the very beginning, to clear the mind of loose ends whose origins are forgotten; loose ends and means become habits.” After exploring harmonic intersection and disjunction, Tenney concludes with an analysis of harmonic distance and pitch distance.
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36

Kobayashi, Shoshichi. Hyperbolic Complex Spaces. Springer Berlin / Heidelberg, 2010.

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37

Kobayashi, Shoshichi. Hyperbolic Complex Spaces. Springer London, Limited, 2013.

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38

Pflug, Peter, and Marek Jarnicki. Invariant Distances and Metrics in Complex Analysis. de Gruyter GmbH, Walter, 2011.

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39

Bowman, William D., and Timothy R. Seastedt, eds. Structure and Function of an Alpine Ecosystem. Oxford University Press, 2001. http://dx.doi.org/10.1093/oso/9780195117288.001.0001.

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This book will provide a complete overview of an alpine ecosystem, based on the long-term research conducted at the Niwot Ridge LTER. There is, at present, no general book on alpine ecology. The alpine ecosystem features conditions near the limits of biological existence, and is a useful laboratory for asking more general ecological questions, because it offers large environmental change over relatively short distances. Factors such as macroclimate, microclimate, soil conditions, biota, and various biological factors change on differing scales, allowing insight into the relative contributions of the different factors on ecological outcomes.
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40

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Parallel Residues. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0021.

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This chapter considers the notion of parallel residues in a building. It begins with the assumption that Δ‎ is a building of type Π‎, which is arbitrary except in a few places where it is explicitly assumed to be spherical. Δ‎ is not assumed to be thick. The chapter then elaborates on a hypothesis which states that S is the vertex set of Π‎, (W, S) is the corresponding Coxeter system, d is the W-distance function on the set of ordered pairs of chambers of Δ‎, and ℓ is the length function on (W, S). It also presents a notation in which the type of a residue R is denoted by Typ(R) and concludes with the condition that residues R and T of a building will be called parallel if R = projR(T) and T = projT(R).
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41

Succi, Sauro. Transport Phenomena. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0004.

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The previous Chapter presented a discussion of the notion of local and global equilibria and shown that these equilibria represent the special forms taken by the distribution function once direct and inverse collisions come into balance. This Chapter provides an elementary introduction to transport phenomena and discusses their intimate relation to non-equilibrium processes at the microscopic scale. In particular it shall deal with the connection between the transport coefficients, such as mass, momentum and energy diffusivity with the molecular mean free path, namely the distance traveled by a representative molecules between two subsequent collisions. The discussion also highlights the fundamental role of inhomogeneity in fueling non-equilibrium processes.
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42

Harrois, Anatole, and Jacques Duranteau. Pathophysiology of severe capillary leak. Oxford University Press, 2016. http://dx.doi.org/10.1093/med/9780199600830.003.0164.

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Severe capillary leak plays an important role in the pathogenesis of several inflammatory syndromes, including sepsis, acute lung injury, and shock syndromes. Microvascular leak is caused by an increase in endothelial permeability. This is due to a range of inflammatory mediators that destabilize endothelial junctions, thereby causing tissue oedema with potential harmful effects on tissue oxygenation and organ function. Tissue oedema can impair tissue oxygenation by increasing the distance required for the diffusion of oxygen to cells, and by decreasing microvascular perfusion due to an increase in interstitial pressure. Better understanding of the pathogenesis of microvascular permeability may lead to new therapies targeting the microvascular barrier in sepsis and the acute respiratory distress syndrome.
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43

Van Bendegem, Jean Paul. The Possibility of Discrete Time. Edited by Craig Callender. Oxford University Press, 2011. http://dx.doi.org/10.1093/oxfordhb/9780199298204.003.0007.

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This chapter examines the possibility of discrete time. At first sight, the answer seems trivial, but actually, it raises a number of interesting questions, both philosophical and scientific. First, the chapter explains what interpretations of discrete time are not considered. Then, it addresses two key philosophical problems: if there are such things as chronons, smallest “bits” of time, do they have extensions and can a distance function, that is, a duration, be defined on them? Second, the chapter discusses the relation between discrete time and discrete space, showing that the former implies the latter. Thus, with applications in mind, both time and space are to be seen as discrete. This leads, third, to the hardest problem of all: whether discrete time is applicable in physical theories.
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44

Snyder, Mary H. Adaptation in Theory and Practice. Edited by Thomas Leitch. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199331000.013.6.

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Chapter 6 aims to navigate the distance between practitioners who write adaptations and scholars who write about adaptations. Screenwriters and adaptation scholars perform a similar function in that they both build their writing from a source text (or texts), requiring a focus on the way a source text is read or interpreted. In “Lamia,” John Keats, contrasting the reading of a text for uncritical pleasure and the reading of a text specifically in order to judge it, finds neither effective in fully identifying or understanding the multiplicities and complexities inherent within texts. The deconstruction practiced by Roland Barthes and J. Hillis Miller offers a middle ground for reading source texts. Intensive interpretations of source texts and a purposeful divergence from fidelity in adaptation help to close the gap between practitioners of adaptation and adaptation scholars.
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45

Bhagat, Rabi S. Cultural Variations and the Global Organization. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780190241490.003.0007.

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Cultural variations present significant challenges for managers, customers, and clients of global organizations. Cultures of the nations are enduring differences that have evolved for centuries and do not change easily. Without adequate consideration of cultural variations, the effective functioning of global organizations is nearly impossible. The classification of cultures on a national scale that is based on careful analysis should provide the context for expanding the operations of global organizations across nations. Some cultures function more effectively by taking into account the role of relationships, whereas others are more governed by rules and regulations that have existed for centuries. Working across these two distinct types of cultures is considerably difficult. This chapter discusses various strategies for dealing with such cultural differences. The topics of cultural intelligence, cultural sensitivity, cultural competence, and cultural distance among nations are presented.
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46

Hrushovski, Ehud, and François Loeser. The space of stably dominated types. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161686.003.0003.

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This chapter introduces the space unit vector V of stably dominated types on a definable set V. It first endows unit vector V with a canonical structure of a (strict) pro-definable set before providing some examples of stably dominated types. It then endows unit vector V with the structure of a definable topological space, and the properties of this definable topology are discussed. It also examines the canonical embedding of V in unit vector V as the set of simple points. An essential feature in the approach used in this chapter is the existence of a canonical extension for a definable function on V to unit vector V. This is considered in the next section where continuity criteria are given. The chapter concludes by describing basic notions of (generalized) paths and homotopies, along with good metrics, Zariski topology, and schematic distance.
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47

Winner, Ellen. Drawn to Pain. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780190863357.003.0007.

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Aristotle said we don’t like to look at painful things in life but get pleasure from seeing these things in art. This chapter examines what research tells us about why we willingly expose ourselves to sad music, paintings of suffering, horror movies, and tragic narratives. Studies show that the sadder we feel when experiencing these forms of art, the more we enjoy the experience and the more moved we feel. Thus, when we experience art with painful content, we experience positive as well as negative emotions. The positive emotions are made possible because of aesthetic distance. That is, we know that our emotions are caused by art, not “real life.” In addition, the experience of negative emotions promotes meaning making as we try to make something positive out of a painful experience. And meaning making is an important function of art.
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48

Longenbaugh, Nicholas, and Maria Polinsky. Experimental Approaches to Ergative Languages. Edited by Jessica Coon, Diane Massam, and Lisa Demena Travis. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780198739371.013.29.

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This chapter summarizes major results in the domain of experimental approaches to ergativity, focusing on three major topics. First, it discusses studies that explore the competition between accusative and ergative alignment, where researchers have attempted to derive the typological preference for accusative alignment from processing- and learnability based constraints. Next, it examines studies concerning the interrelated issues of long-distance dependencies and agreement. The unique dissociation of case and argument-hood in ergative languages has afforded researchers new means of testing conclusions regarding the privileged grammatical status of subject, the relative import and function of case and agreement in the grammar, and the origins of constraints on extraction in ergative languages and beyond. Given that linguists have only recently begun to conduct experimental research on ergative languages, we conclude by suggesting areas for future research where ergativity might provide genuine insights rather than just replicate existing studies of accusative languages.
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49

Wittman, David M. Newtonian Gravity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199658633.003.0016.

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Having developed a framework for subsuming gravity into relativity, we examine how gravity behaves as a function of the source mass (Earth, Sun, etc.) and distance from that sourcemass.We develop Newton’s inverse‐square law of gravity, and we examine the consequences in terms of acceleration fields, potentials, escape velocities, and surface gravity. Chapter 17 will build on these ideas to show how orbits are used to probe gravity throughout the universe.We also develop a tool for exposing variations in the acceleration field: the tidal acceleration field in any region is defined as the acceleration field in that region minus the average acceleration. This enables us to restate Newton’s lawof gravity as: the acceleration arrows surrounding any point show a net convergence that is proportional to the density of mass at that point. Chapter 18 will use this to develop a frame‐independent law of gravity.
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50

Solymar, L., D. Walsh, and R. R. A. Syms. Bonds. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198829942.003.0005.

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Mechanical properties of bonds are discussed, with the aid of a simple phenomenological model in which the variation of energy as a function of distance between the elements is described in terms of polynomials. The properties of various kinds of bonds (ionic bond, metallic bond, covalent bond, van der Waals bond) are explained with the aid of simple models. Carbon is discussed with two examples: bonds between 60 atoms that lead to the formation of a three-dimensional molecule known as Buckminsterfullerene, and the alternative sheet-shaped configuration known as graphene, that has recently become the centre of interest. A general theory for finding the energy levels is introduced, relying on Feynman’s coupled wave equations. There is a brief reference to nuclear forces, followed by a discussion of the hydrogen molecule. The relationship between coupling and the splitting of the energy levels is discussed with an analogy to coupled resonant circuits.
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