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Books on the topic 'Vector maps'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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1

Villmann, Thomas, Frank-Michael Schleif, Marika Kaden, and Mandy Lange, eds. Advances in Self-Organizing Maps and Learning Vector Quantization. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-07695-9.

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2

Merényi, Erzsébet, Michael J. Mendenhall, and Patrick O'Driscoll, eds. Advances in Self-Organizing Maps and Learning Vector Quantization. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28518-4.

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3

Bednarczuk, Ewa. Stability analysis for parametric vector optimization problems. Warszawa: Institute of Mathematics, Polish Academy of Sciences, 2007.

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4

Pisier, Gilles. Non-commutative vector valued Lp-spaces and completely p-summing maps. Paris: Société mathématique de France, 1998.

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5

Pisier, Gilles. Non-commutative vector valued Lp-spaces and completeley p-summing maps. Paris, France: Société mathématique de France, 1998.

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6

Pisier, Gilles. Non-commutative vector valued Lp-spaces and completeley p-summing maps. Paris, France: Société mathématique de France, 1998.

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7

Vellido, Alfredo, Karina Gibert, Cecilio Angulo, and José David Martín Guerrero, eds. Advances in Self-Organizing Maps, Learning Vector Quantization, Clustering and Data Visualization. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-19642-4.

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8

Paskevich, Valerie F. Rasterizing vector and discrete data with the Woods Hole image processing system software. [Woods Hole, MA]: U.S. Dept. of the Interior, Geological Survey, 1993.

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9

Kehrerh, A. C. Meaningful outlier contingencies in self-organizing maps processing different subsets of input vector space. London: University of Surrey Roehampton, 2002.

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10

Knapp, David. Vector topographic map data over the BOREAS NSA and SSA in SIF format. Greenbelt, Md: National Aeronautics and Space Administration, Goddard Space Flight Center, 2000.

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11

Mochizuki, Takuro. Asymptotic behaviour of tame harmonic bundles and an application to pure twister D-modules. Providence, RI: American Mathematical Society, 2007.

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12

Shi liang di tu shu zi shui yin ji shu yan jiu: Research of Digital Watermarking for Vector Maps. Beijing: Ren min you dian chu ban she, 2012.

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13

International, Conference on Diseases in Nature Communicable to Man (59th 2004 Beverly Mass ). Proceedings of the 59th annual conference: The International Conference on Diseases in Nature Communicable to Man : Endicott College, Beverly, Mass., August 7-10, 2004. [Beverly, Mass.?: Endicott College?, 2004.

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14

ZnO bao mo zhi bei ji qi guang, dian xing neng yan jiu. Shanghai Shi: Shanghai da xue chu ban she, 2010.

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15

Linear algebra c-2 Geometrical Vectors, Vector Spaces and Linear Maps. Bookboon, 2013.

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16

Linear algebra c-2 Geometrical Vectors, Vector Spaces and Linear Maps. Bookboon, 2013.

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17

Linear algebra c-2 Geometrical Vectors, Vector Spaces and Linear Maps. Bookboon.com, 2013.

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18

Linear algebra c-2 Geometrical Vectors, Vector Spaces and Linear Maps. Bookboon.com, 2013.

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19

Jaime, Nickeson, and Goddard Space Flight Center, eds. Prince Albert National Park forest cover data in vector format. Greenbelt, Md: National Aeronautics and Space Administration, Goddard Space Flight Center, 2000.

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20

Jaime, Nickeson, and Goddard Space Flight Center, eds. Vector topographic map data over the BOREAS NSA and SSA in SIF format. Greenbelt, Md: National Aeronautics and Space Administration, Goddard Space Flight Center, 2000.

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21

Mochizuki, Takuro. Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 2 (Memoirs of the American Mathematical Society) (Memoirs of the American Mathematical Society). American Mathematical Society, 2006.

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22

Guerrero, José David Martín, Alfredo Vellido, Karina Gibert, and Cecilio Angulo. Advances in Self-Organizing Maps, Learning Vector Quantization, Clustering and Data Visualization: Proceedings of the 13th International Workshop, ... in Intelligent Systems and Computing). Springer, 2019.

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23

Villmann, Thomas, Frank-Michael Schleif, Marika Kaden, and Mandy Lange. Advances in Self-Organizing Maps and Learning Vector Quantization: Proceedings of the 10th International Workshop, WSOM 2014, Mittweida, Germany, ... in Intelligent Systems and Computing). Springer, 2014.

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24

Merényi, Erzsébet, Patrick O'Driscoll, and Michael J. Mendenhall. Advances in Self-Organizing Maps and Learning Vector Quantization: Proceedings of the 11th International Workshop WSOM 2016, Houston, Texas, USA, ... in Intelligent Systems and Computing). Springer, 2016.

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25

Mann, Peter. Calculus of Variations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0036.

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This chapter presents an introduction to linear algebra. Classical mechanics is best understood in the language of differential geometry, which itself requires a working knowledge of the key concepts in linear algebra. This chapter walks through the required knowledge from this broad discipline and guides the reader towards the goal of the next chapter, differential geometry. Topics discussed include vector spaces, linear maps, basis sets, cobases, inner products, tensors, wedge products and exterior algebra, as well as the axioms of vector space geometry. The chapter concludes with a brief discussion of Grassmann variables, which tend to crop up when classical fermionic fields are defined.

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26

Matthews, Philippa C. Tropical Medicine Notebook. Oxford University Press, 2017. http://dx.doi.org/10.1093/med/9780198737773.001.0001.

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The Tropical Medicine Notebook provides a concise overview of the key topics in tropical medicine using short notes, diagrams, maps, and tables. The book is divided into eight sections. The first five cover infections caused by bacteria, viruses, fungi, protozoa, and helminths. The following three present the topics of vector biology, disease syndromes, and envenomation. A final section listing relevant guidelines, publications, and other resources guides the reader to more detailed information when required.

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27

Mann, Peter. Constrained Hamiltonian Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0021.

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This chapter focuses on autonomous geometrical mechanics, using the language of symplectic geometry. It discusses manifolds (including Kähler manifolds, Riemannian manifolds and Poisson manifolds), tangent bundles, cotangent bundles, vector fields, the Poincaré–Cartan 1-form and Darboux’s theorem. It covers symplectic transforms, the Marsden–Weinstein symplectic quotient, presymplectic and symplectic 2-forms, almost symplectic structures, symplectic leaves and foliation. It also discusses contact structures, musical isomorphisms and Arnold’s theorem, as well as integral invariants, Nambu structures, the Nambu bracket and the Lagrange bracket. It describes Poisson bi-vector fields, Poisson structures, the Lie–Poisson bracket and the Lie–Poisson reduction, as well as Lie algebra, the Lie bracket and Lie algebra homomorphisms. Other topics include Casimir functions, momentum maps, the Euler–Poincaré equation, fibre derivatives and the geodesic equation. The chapter concludes by looking at deformation quantisation of the Poisson algebra, using the Moyal bracket and C*-algebras to develop a quantum physics.

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28

Hrushovski, Ehud, and François Loeser. Γ‎-internal spaces. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161686.003.0006.

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This chapter describes the topological structure of Γ‎-internal spaces. Let V be an algebraic variety over a valued field. An iso-definable subset X of unit vector V is said to be Γ‎-internal if it is in pro-definable bijection with a definable set which is Γ‎-internal. A number of delicate issues arise here. A pro-definable subset X of unit vector V is Γ‎-parameterized if there exists a definable subset Y of Γ‎ⁿ, for some n, and a pro-definable map g : Y → unit vector V with image X. The chapter presents an example showing that there exists Γ‎-parameterized subsets of unit vector V which are not iso-definable, whence not Γ‎-internal. It also presents the main results about the topological structure of Γ‎-internal spaces.

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29

Lu, Quinn, ed. Cloning And Expression Vectors For Gene Function Analysis (Biofocus (Westborough, Mass.).). EATON PUBLISHING, 2001.

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30

Roussarie, Robert H. Bifurcation of Planar Vector Fields and Hilbert's Sixteenth Problem (Progress in Mathematics (Boston, Mass.), Vol. 164.). Birkhauser, 1999.

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31

Matthews, Philippa C. Lice, fleas, mites, and ticks. Edited by Philippa C. Matthews. Oxford University Press, 2017. http://dx.doi.org/10.1093/med/9780198737773.003.0017.

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This chapter summarizes the entomology of medically significant vectors and nuisance biters, using diagrams to summarize characteristic features and life cycles, and maps to show geographical distribution where relevant. It includes mosquitoes, lice, fleas, mites, ticks, sandflies, tsetse flies, triatomene bugs, and blackflies. For each of these, a list of the disease-causing agent(s) that might be transmitted is included, with cross-reference to other relevant sections of the book.

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32

Prussing, John E. Optimal Trajectories. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198811084.003.0005.

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Optimal trajectories are analysed, covering both constant- and variable-specific-impulse cases. Primer vector is defined and illustrated. The first-order necessary conditions for an optimal constant-specific-impulse (CSI) trajectory were first derived by Lawden using classical Calculus of Variations. Variable-specific-impulse rocket engines are discussed with the cost functional for a VSI engine. In the derivation that follows, an Optimal Control Theory formulation is used, but the derivation is similar to that of Lawden. One difference is that the mass is not defined as a state variable, but is kept track of indirectly.

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33

Wittman, David M. Energy and Momentum. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199658633.003.0012.

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Tis chapter explains the famous equation E = mc2 as part of a wider relationship between energy, mass, and momentum. We start by defning energy and momentum in the everyday sense. We then build on the stretching‐triangle picture of spacetime vectors developed in Chapter 11 to see how energy, mass, and momentum have a deep relationship that is not obvious at everyday low speeds. When momentum is zero (a mass is at rest) this energy‐momentum relation simplifes to E = mc2, which implies that mass at rest quietly stores tremendous amounts of energy. Te energymomentum relation also implies that traveling near the speed of light (e.g., to take advantage of time dilation for interstellar journeys) will require tremendous amounts of energy. Finally, we look at the simplifed form of the energy‐momentum relation when the mass is zero. Tis gives us insight into the behavior of massless particles such as the photon.

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34

Hrushovski, Ehud, and François Loeser. Definable compactness. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161686.003.0004.

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This chapter describes the notion of definable compactness for subsets of unit vector V. One of the main results is Theorem 4.2.20, which establishes the equivalence between being definably compact and being closed and bounded. The chapter gives a general definition of definable compactness that may be useful when the definable topology has enough definable types. The o-minimal formulation regarding limits of curves is replaced by limits of definable types. The chapter relates definable compactness to being closed and bounded and shows that the expected properties hold. In particular, the image of a definably compact set under a continuous definable map is definably compact.

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35

Mann, Peter. Energy and Work. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0002.

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This chapter discusses the work–energy theorem, which is developed from Newton’s second law, and defines the kinetic and potential energies of the system. While there is some vector calculus involved, it has been kept to the bare minimum and the reader should not require in-depth knowledge to understand the salient points. If there is a net force on the particle, it accelerates in the direction of the unbalanced force. The force is a central force if it depends only on the distance between the point on which the force acts and the coordinate origin. Using Stokes’s theorem, potential energies are thoroughly discussed. The chapter also discusses spherically symmetric potentials, isotropic force, force on systems of particles, centre of mass coordinates and rigid bodies.

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36

Boudreau, Joseph F., and Eric S. Swanson. Templates, the standard C++ library, and modern C++. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0017.

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This chapter is devoted to programming techniques which rely on the C++ template mechanism. This mechanism, which is the basis of a computing style known as generic programming, allows whole families of functions and classes to be easily written. It is described early in the chapter. A host of extremely useful template functions and classes is universally available in the C++ standard library, including container classes (vector, list, set, and map) and algorithms used to sort, shuffle, and otherwise manipulate or query their contents. The chapter closes with an introduction to the newer constructs of modern C++: smart pointers, lambda functions, the auto keyword, range-based for loops, and more. An application to group theory is explored in the exercises.

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37

Spitzer, Michael. Affective shapes and shapings of affect in Bach’s Sonata for Unaccompanied Violin No. 1 in G minor (BWV 1001). Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199351411.003.0008.

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This chapter analyses Bach’s Sonata for Unaccompanied Violin No. 1 in G minor in terms of recent theories of music and emotion. It considers how musical ‘shape’ relates to the structure of affect, conceived in the nuanced terms afforded by recent work in the psychology of discrete emotional categories. Part I is dedicated to a close reading of Bach’s opening Adagio. Analysing three levels of shape (acoustic cues, midlevel phrasing and large-scale form), the chapter compares Bach’s music both to the shape of particular emotional behaviours and to the expressive shapings of a formal model. This notion of shaping is then extended to performance styles of ‘expressiveness’ (mainstream, HIP and deviant) in three interpretations of the Adagio captured in tempo and dynamic maps. Part II analyses the whole sonata cycle in terms of ‘transformational vectors’.

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38

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. The Standard Metric. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0026.

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This chapter presents some results about groups generated by reflections and the standard metric on a Bruhat-Tits building. It begins with definitions relating to an affine subspace, an affine hyperplane, an affine span, an affine map, and an affine transformation. It then considers a notation stating that the convex closure of a subset a of X is the intersection of all convex sets containing a and another notation that denotes by AGL(X) the group of all affine transformations of X and by Trans(X) the set of all translations of X. It also describes Euclidean spaces and assumes that the real vector space X is of finite dimension n and that d is a Euclidean metric on X. Finally, it discusses Euclidean representations and the standard metric.

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39

Hunt, G. J. A procedural manual for the large-scale rearing of the biting midge, Culicoides variipennis (Diptera: Ceratopogonidae). 1994.

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40

Wigmans, Richard. Contributions of Calorimetry to the Advancement of Science. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786351.003.0011.

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In this last chapter, some scientific discoveries are described in which calorimeters have played a crucial role. The chosen examples were all awarded a Nobel prize in physics. The first example concerns the discovery of the intermediate vector bosons (W and Z) by the experiments UA1 and UA2 at CERN (1982). More than anything else, this discovery has been crucial for the dominant role that calorimeters have played in the design of experiments at the subsequent generation(s) of particle accelerators. The second example concerns the discovery of the fact that neutrinos have a non-zero rest mass, by the SuperKamiokande collaboration (1998). This discovery inspired the development of the even larger water Cerenkov calorimeters discussed in Chapter 10. The third example concerns the discovery of the Higgs boson, by the ATLAS and CMS experiments at CERN’s Large Hadron Collider (2012). In all three cases, the role of the calorimeters, and their importance for the discoveries, is described in some detail.

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41

Bianchi, Emanuela, Sara Brill, and Brooke Holmes, eds. Antiquities Beyond Humanism. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198805670.001.0001.

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Countering an unflagging modernist infatuation with the new, Antiquities beyond Humanism maps out the ground for a richer and more sustained encounter with Greco-Roman antiquity, excavating an ante-humanism that nonetheless does not seek any kind of return to a pre-humanist arcadia. The volume arises from a commitment to actively engage the ancient philosophical tradition as a powerful field through which to tackle some of the most urgent questions addressed by the new materialisms and forms of post- and non-humanism. The papers gathered here take up ancient Greek philosophical and literary texts as at once live with possibilities for the present and uncannily distant. Collectively, they approach antiquity as neither origin nor telos but as asynchronous or untimely in Nietzsche’s sense. By bringing together a range of international scholars actively working at the intersections of ancient philosophy, literature, continental philosophy, feminist theory, and political theory, the volume opens up new vectors for thinking beyond the human that are informed by and responsive to the contemporary world while proposing a complex set of relationships to the longue durée of Western history, to deep time, and to the profound strangeness and unsettling familiarity of the Greco-Roman world. In this way, the volume resists and displaces the seductions of presentism, scientism, and technological determinism that often limit the horizons of new materialist thinking.

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42

Rajeev, S. G. Fluid Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.001.0001.

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Starting with a review of vector fields and their integral curves, the book presents the basic equations of the subject: Euler and Navier–Stokes. Some solutions are studied next: ideal flows using conformal transformations, viscous flows such as Couette and Stokes flow around a sphere, shocks in the Burgers equation. Prandtl’s boundary layer theory and the Blasius solution are presented. Rayleigh–Taylor instability is studied in analogy with the inverted pendulum, with a digression on Kapitza’s stabilization. The possibility of transients in a linearly stable system with a non-normal operator is studied using an example by Trefethen et al. The integrable models (KdV, Hasimoto’s vortex soliton) and their hamiltonian formalism are studied. Delving into deeper mathematics, geodesics on Lie groups are studied: first using the Lie algebra and then using Milnor’s approach to the curvature of the Lie group. Arnold’s deep idea that Euler’s equations are the geodesic equations on the diffeomorphism group is then explained and its curvature calculated. The next three chapters are an introduction to numerical methods: spectral methods based on Chebychev functions for ODEs, their application by Orszag to solve the Orr–Sommerfeld equation, finite difference methods for elementary PDEs, the Magnus formula and its application to geometric integrators for ODEs. Two appendices give an introduction to dynamical systems: Arnold’s cat map, homoclinic points, Smale’s horse shoe, Hausdorff dimension of the invariant set, Aref ’s example of chaotic advection. The last appendix introduces renormalization: Ising model on a Cayley tree and Feigenbaum’s theory of period doubling.

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43

Wallin, J. R. 1983 virus tolerance ratings of maize genotypes grown in Missouri. 1985.

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