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1

Gabler, Siegfried. Minimax solutions in sampling from finite populations. Springer-Verlag, 1990.

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2

Gabler, Siegfried. Minimax solutions in sampling from finite populations. Springer-Verlag, 1990.

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3

1943-, Gossez J. P., and Bonheure Denis, eds. Nonlinear elliptic partial differential equations: Workshop in celebration of Jean-Pierre Gossez's 65th birthday, September 2-4, 2009, Université libre de Bruxelles, Belgium. American Mathematical Society, 2011.

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4

Deruelle, Nathalie, and Jean-Philippe Uzan. The Kerr solution. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0048.

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This chapter covers the Kerr metric, which is an exact solution of the Einstein vacuum equations. The Kerr metric provides a good approximation of the spacetime near each of the many rotating black holes in the observable universe. This chapter shows that the Einstein equations are nonlinear. However, there exists a class of metrics which linearize them. It demonstrates the Kerr–Schild metrics, before arriving at the Kerr solution in the Kerr–Schild metrics. Since the Kerr solution is stationary and axially symmetric, this chapter shows that the geodesic equation possesses two first integrals.
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5

Epstein, Charles L., and Rafe Mazzeo. The Resolvent Operator. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691157122.003.0011.

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This chapter describes the construction of a resolvent operator using the Laplace transform of a parametrix for the heat kernel and a perturbative argument. In the equation (μ‎-L) R(μ‎) f = f, R(μ‎) is a right inverse for (μ‎-L). In Hölder spaces, these are the natural elliptic estimates for generalized Kimura diffusions. The chapter first constructs the resolvent kernel using an induction over the maximal codimension of bP, and proves various estimates on it, along with corresponding estimates for the solution operator for the homogeneous Cauchy problem. It then considers holomorphic semi-gro
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6

Caramello, Olivia. Some Applications. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198758914.003.0012.

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This chapter describes some applications of the theory developed in the previous chapters in a variety of different mathematical contexts. The main methodology used to generate such applications is the ‘bridge technique’ presented in Chapter 2. The discussed topics include restrictions of Morita equivalences to quotients of the two theories involved, give a solution to a prozblem of Lawvere concerning the boundary operator on subtoposes, establish syntax-semantics ‘bridges’ for quotients of theories of presheaf type, present topos-theoretic interpretations and generalizations of Fraïssé’s theo
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7

Sheikha Shamma Bint Sultan Al Nahyan. Adventures of Maxima and Coustaud: In Search of a Global Solution. Silver Quill Publishing, 2020.

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8

Smith, Holly M. Developing the Hybrid Solution. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199560080.003.0012.

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Chapter 12 further develops the Hybrid approach to the problem of uncertainty. It begins by exploring definitions for an agent’s ability to indirectly use an objective moral theory by selecting an action that is prescribed by an appropriate decision-guide. Rejecting initial definitions which imply that an agent lacks this ability if she is uncertain which decision-guide is the best one for her to use, the chapter seeks alternative solutions. The first attempted solution, the Low Bar approach, is abandoned because it makes it too easy for such an uncertain agent to count as having the ability t
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9

Gabler, Siegfried. Minimax Solutions in Sampling from Finite Populations. Springer London, Limited, 2012.

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10

Lattman, Eaton E., Thomas D. Grant, and Edward H. Snell. Quantities Directly Measurable by Scattering. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199670871.003.0003.

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In this chapter we note that solution scattering data can be divided into four regions. At zero scattering angle, the scattering provides information on molecular weight of the particle in solution. Beyond that, the scattering is influenced by the radius of gyration. As the scattering angle increases, the scattering is influenced by the particle shape, and finally by the interface with the particle and the solution. There are a number of important invariants that can be calculated directly from the data including molecular mass, radius of gyration, Porod invariant, particle volume, maximum par
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11

Golan, Amos. Entropy Maximization. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199349524.003.0004.

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In this chapter I develop the essential maximum entropy procedure, which is an inversion procedure for inferring an unknown probability distribution function from incomplete information. The formulation here is the root of info-metrics and is grounded in the motivations provided in Chapter 2 and the metrics defined in Chapter 3. Once the basic maximum entropy problem is defined and the solution is derived via the method of Lagrange multipliers, I derive and discuss its dual formulation. I then define and discuss the concept of conjugate variables, which is related to the Lagrange multipliers.
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12

Fuller, Richard A., and James E. M. Watson. Replacing underperforming nature reserves. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198808978.003.0023.

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This chapter discusses a radical solution to the problem that many protected areas are not in the right places to achieve maximum conservation benefit. The radical solution involves replacing underperforming protected areas with new ones that achieve more for conservation. Such a system revision was successfully undertaken in Bhutan as long ago as 1993. This chapter argues that designing robust policies and processes around reserve replacement will (i) force a thorough assessment of the role of protected areas against a clear set of conservation objectives, (ii) upgrade a poorly performing sys
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13

Ben-Haim, Yakov. Optimization and Its Limits. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822233.003.0004.

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Innovation dilemmas often result from seeking optimal—that is, minimal or maximal—outcomes. However, uncertainty sometimes makes outcome optimization infeasible or unwise. Human progress originates in our thirst for improvement. However, our ability to predict the outcome quality of the options is limited when our knowledge is severely curtailed. We simply can’t know which option will be optimal. Furthermore, seeking the best outcome sometimes becomes a moral imperative of its own, regardless of substantive needs. Optimization is then a goal in itself, leading to misuse of an otherwise worthy
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14

Jue, Melody, and Rafico Ruiz, eds. Saturation. Duke University Press, 2021. http://dx.doi.org/10.1215/9781478013044.

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Bringing together media studies and environmental humanities, the contributors to Saturation develop saturation as a heuristic to analyze phenomena in which the elements involved are difficult or impossible to separate. In ordinary language, saturation describes the condition of being thoroughly soaked, while in chemistry it is the threshold at which something can be maximally dissolved or absorbed in a solution. Contributors to this collection expand notions of saturation beyond water to consider saturation in sound, infrastructure, media, Big Data, capitalism, and visual culture. Essays incl
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15

Bartlett, Wendy K. Floating Collections. ABC-CLIO, LLC, 2014. http://dx.doi.org/10.5040/9798400651915.

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This easy-to-use, comprehensive guide shows how to establish a floating collection in any library regardless of type or size. Despite its increasing popularity, there are few published works about floating and floating collections. Virtually no one has addressed critical long-term issues like core collections, material selection, and weeding after floating has taken place. Floating Collections: A Collection Development Model for Long-Term Success makes all of this urgently needed information available in one place. This unique guidebook defines "floating," explains the pros and cons, explores
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16

Nachtomy, Ohad. Living Mirrors. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780190907327.001.0001.

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This work presents Leibniz’s view of infinity and the central role it plays in his theory of living beings. Chapter 1 introduces Leibniz’s approach to infinity by presenting the central concepts he employs; chapter 2 presents the historical background through Leibniz’s encounters with Galileo and Descartes, exposing a tension between the notions of an infinite number and an infinite being; chapter 3 argues that Leibniz’s solution to this tension, developed through his encounter with Spinoza (ca. 1676), consists of distinguishing between a quantitative and a nonquantitative use of infinity, and
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17

Johansen, Bruce E. The Global Warming Combat Manual. Greenwood Publishing Group, Inc., 2008. http://dx.doi.org/10.5040/9798400657917.

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The Global Warming Combat Manual describes the practical measures that readers can take in their daily lives to reduce their carbon footprints, while showing how to link one's personal choices with the big-picture science and the big-scale campaigns to combat global warming on the political, legal, economic, and technological fronts. The emphasis throughout is on practical tips for ways in which people can help combat global warming in their everyday roles as citizens, consumers, homeowners, employees, commuters, tourists, sportsmen, business owners, or farmers. Johansen—assisted by climatolog
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18

Holiday Detection of Internal Tubular Coatings of 250 to 760 μm (10 to 30 mils) Dry Film Thickness. AMPP, 1994. https://doi.org/10.5006/nace_tm0186-1994.

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Scope This NACE standard test method was prepared as a guide for evaluating the application of polymeric coatings of 250 to 760 (10 to 30 mils) to the internal surfaces of metallic tubular goods used in the oil and gas industry. It is not intended as a means of predicting the service life or service performance of these coatings. This test method is based on the current technology and experience of the petroleum production industry. NACE Standard TM0384 addresses holiday detection of internal tubular coatings of less than 250 (10 mils) dry film thickness. This NACE standard was originally prep
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19

Optimization of Objective Functions: Analytics. Numerical Methods. Design of Experiments. Fizmatlit Publisher, 2009.

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20

Zydroń, Tymoteusz. Wpływ systemów korzeniowych wybranych gatunków drzew na przyrost wytrzymałości gruntu na ścinanie. Publishing House of the University of Agriculture in Krakow, 2019. http://dx.doi.org/10.15576/978-83-66602-46-5.

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The aim of the paper was to determine the influence of root systems of chosen tree species found in the Polish Flysch Carpathians on the increase of soil shear strength (root cohesion) in terms of slope stability. The paper's goal was achieved through comprehensive tests on root systems of eight relatively common in the Polish Flysch Carpathians tree species. The tests that were carried out included field work, laboratory work and analytical calculations. As part of the field work, the root area ratio (A IA) of the roots was determined using the method of profiling the walls of the trench at a
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21

Shengelia, Revaz. Modern Economics. Universal, Georgia, 2021. http://dx.doi.org/10.36962/rsme012021.

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Economy and mankind are inextricably interlinked. Just as the economy or the production of material wealth is unimaginable without a man, so human existence and development are impossible without the wealth created in the economy. Shortly, both the goal and the means of achieving and realization of the economy are still the human resources. People have long ago noticed that it was the economy that created livelihoods, and the delays in their production led to the catastrophic events such as hunger, poverty, civil wars, social upheavals, revolutions, moral degeneration, and more. Therefore, the
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