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Books on the topic 'Decomposition for BV functions'

Author: Grafiati

Published: 14 March 2023

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1

Cheverry, Christophe. Systèmes de lois de conservation et stabilité BV. [Paris, France]: Société mathématique de France, 1998.

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2

Giuseppe, Buttazzo, and Michaille Gérard, eds. Variational analysis in Sobolev and BV spaces: Applications to PDEs and optimization. Philadelphia: Society for Industrial and Applied Mathematics, 2005.

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3

Billings, S. A. Decomposition of generalised frequency response functions for non-linear systems using symbolic computation. Sheffield: University of Sheffield, Dept. of Automatic Control and Systems Engineering, 1994.

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4

Serge, Lang, ed. Heat Eisenstein series on SL[subscript n](C). Providence, R.I: American Mathematical Society, 2009.

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5

Jorgenson, Jay. Heat Eisenstein series on SL[subscript n](C). Providence, R.I: American Mathematical Society, 2009.

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6

Jorgenson, Jay. Spherical Inversion on SLn(R). New York, NY: Springer New York, 2001.

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7

Stengel, Bernhard von. Eine Dekompositionstheorie für mehrstellige Funktionen mit Anwendungen in Systemtheorie und Operations Research. Frankfurt am Main: A. Hain, 1991.

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8

Moeglin, Colette. Spectral decomposition and Eisenstein series: Une paraphrase de l'écriture. Cambridge: Cambridge University Press, 1995.

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9

Topics on continua. Boca Raton: Chapman & Hall/CRC, 2005.

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10

V, Efimov A., and Skvort͡s︡ov V. A, eds. Walsh series and transforms: Theory and applications. Dordrecht [Netherlands]: Kluwer Academic Publishers, 1991.

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11

Ninul, Anatolij Sergeevič. Tensor Trigonometry. Moscow, Russia: Fizmatlit Publisher, 2021.

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12

Ninul, Anatolij Sergeevič. Tenzornaja trigonometrija: Teorija i prilozenija / Theory and Applications /. Moscow, Russia: Mir Publisher, 2004.

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13

(Editor), John E. Gilbert, Y. S. Han (Editor), J. A. Hogan (Editor), Joseph D. Lakey (Editor), D. Weiland (Editor), and G. Weiss (Editor), eds. Smooth Molecular Decompositions of Functions and Singular Integral Operators. American Mathematical Society, 2002.

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14

Lang, Serge. Spherical Inversion on SLn(r). Springer, 2001.

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15

Attouch, Hedy, Giuseppe Buttazzo, and Gérard Michaille. Variational Analysis in Sobolev and BV Spaces: Applications to PDEs and Optimization, Second Edition. SIAM-Society for Industrial and Applied Mathematics, 2014.

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16

Lee, Ming-Yi, and Brett Wick. Maximal Functions, Littlewood-Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-Parameter Flag Setting. American Mathematical Society, 2022.

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17

Golubov, B., V. Skvortsov, and A. Efimov. Walsh Series and Transforms: Theory and Applications. Springer Netherlands, 2012.

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18

Taberlet, Pierre, Aurélie Bonin, Lucie Zinger, and Eric Coissac. Environmental DNA for functional diversity. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198767220.003.0010.

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Chapter 10 “Environmental DNA for functional diversity” discusses the potential of environmental DNA to assess functional diversity. It first focuses on DNA metabarcoding and discusses the extent to which this approach can be used and/or optimized to retrieve meaningful information on the functions of the target community. This knowledge usually involves coarsely defined functional groups (e.g., woody, leguminous, graminoid plants; shredders or decomposer soil organisms; pathogenicity or decomposition role of certain microorganisms). Chapter 10 then introduces metagenomics and metatranscriptomics approaches, their advantages, but also the challenges and solutions to appropriately sampling, sequencing these complex DNA/RNA populations. Chapter 10 finally presents several strategies and software to analyze metagenomes/metatranscriptomes, and discusses their pros and cons.

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19

Macdonald, Elizabeth, and Ruth Atkins. Koffman & Macdonald's Law of Contract. Oxford University Press, 2018. http://dx.doi.org/10.1093/he/9780198752844.001.0001.

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Koffman & Macdonald’s Law of Contract provides a clear, academically rigorous, account of the contract law which is written in a style which makes it highly accessible to university students new to legal study. It works from extensive consideration of the significant cases, to provide students with a firm grounding in the way the common law functions. There are chapters on formation, certainty, consideration, promissory estoppel, intention to create legal relations, express and implied terms, classification of terms, the Unfair Contract Terms Act 1977, Unfair Terms in Consumer Contracts, mistake, misrepresentation, duress and undue influence, illegality, unconscionability, privity, performance and breach, frustration, damages, and specific enforcement, as well as companion website chapters on capacity and an outline of the law of restitution. Many new cases and legislative developments are covered in the ninth edition, such as Armchair Answercall Ltd v People in Mind Ltd, Blue v Ashley, Cavendish Square Holding BV v Talal El Makdessi, ParkingEye Ltd v Beavis,Globalia Business Travel S.A.U. (formerly TravelPlan S.A.U.) of Spain v Fulton Shipping Inc of Panama, Marks and Spencer plc v BNP Paribas Securities Services Trust Company (Jersey) Ltd,MWB Business Exchange Centres Ltd v Rock Advertising Ltd, Patel v Mirza, Phones 4U Ltd (In Administration) v EE Ltd. This edition has been updated to include major legislative developments including the Consumer Rights Act 2015, which now encompasses, and makes some changes to, the unfair terms regime, which was previously provided by the Unfair Terms in Consumer Contracts Regulations 1999, as well as removing, and taking on board, the consumer elements of the Unfair Contract Terms Act 1977.

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20

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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21

Ramchand, Gillian. The event domain. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198767886.003.0010.

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This chapter focuses on the phrase structural representation of the most embedded portion of a natural language sentence. It is argued that this corresponds to the core event building domain, and that it has both syntactic and semantic integrity within the sentence. However, the little v label across frameworks and research programs has also been used as the locus for the external argument, as well as for the first cyclic domain for syntactic locality. However, empirical evidence points clearly to a separation of the different functions often ascribed to “little v.” Specifically, it is argued that event structure decomposition head (roughly, Cause) must be clearly separated from, and hierarchically lower than, the head providing the choice of external argument. However, it will be shown from the evidence of the English progressive that this external argument locus is much more abstract and cannot be identified with the traditional category of Voice.

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22

Khurana, Saloni, and Kanika Mahajan. Evolution of wage inequality in India (1983–2017): The role of occupational task content. UNU-WIDER, 2020. http://dx.doi.org/10.35188/unu-wider/2020/924-2.

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We examine data for urban workers in the non-agricultural sector across three decades, 1983–2017, and find that earnings inequality increased during 1983–2004, was largely stable during 2004–11, and decreased during 2011–17. We explore whether decline in routine jobs and change in demand for skills has shaped evolution of earnings inequality in India. We rule out earnings polarization as an explanation for rising earnings inequality during 1983–2004, and then use Shapley and recentred influence functions (RIF) decomposition methods to decompose the change in Gini into the contribution from change in worker demographics and routine task intensity and the accompanying changes in returns to these characteristics. Our results show that changes in returns to education and routine task intensity explain a small part of the trends in wage inequality. Hence, in the Indian context, institutional factors may have played a bigger role in shaping wage inequality.

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23

Maggiore, Michele. Gravitational Waves. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198570899.001.0001.

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A comprehensive and detailed account of the physics of gravitational waves and their role in astrophysics and cosmology. The part on astrophysical sources of gravitational waves includes chapters on GWs from supernovae, neutron stars (neutron star normal modes, CFS instability, r-modes), black-hole perturbation theory (Regge-Wheeler and Zerilli equations, Teukoslky equation for rotating BHs, quasi-normal modes) coalescing compact binaries (effective one-body formalism, numerical relativity), discovery of gravitational waves at the advanced LIGO interferometers (discoveries of GW150914, GW151226, tests of general relativity, astrophysical implications), supermassive black holes (supermassive black-hole binaries, EMRI, relevance for LISA and pulsar timing arrays). The part on gravitational waves and cosmology include discussions of FRW cosmology, cosmological perturbation theory (helicity decomposition, scalar and tensor perturbations, Bardeen variables, power spectra, transfer functions for scalar and tensor modes), the effects of GWs on the Cosmic Microwave Background (ISW effect, CMB polarization, E and B modes), inflation (amplification of vacuum fluctuations, quantum fields in curved space, generation of scalar and tensor perturbations, Mukhanov-Sasaki equation,reheating, preheating), stochastic backgrounds of cosmological origin (phase transitions, cosmic strings, alternatives to inflation, bounds on primordial GWs) and search of stochastic backgrounds with Pulsar Timing Arrays (PTA).

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24

Lukas, Andre. The Oxford Linear Algebra for Scientists. Oxford University PressOxford, 2022. http://dx.doi.org/10.1093/oso/9780198844914.001.0001.

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Abstract This book provides a introduction into linear algebra which covers the mathematical set-up as well as applications to science. After the introductory material on sets, functions, groups and fields, the basic features of vector spaces are developed, including linear independence, bases, dimension, vector subspaces and linear maps. Practical methods for calculating with dot, cross and triple products are introduced early on. The theory of linear maps and their relation to matrices is developed in detail, culminating in the rank theorem. Algorithmic methods bases on row reduction and determinants are discussed an applied to computing the rank and the inverse of matrices and to solve systems of linear equations. Eigenvalues and eigenvectors and the application to diagonalising linear maps, as well as scalar products and unitary linear maps are covered in detail. Advanced topics included are the Jordon normal form, normal linear maps, the singular value decomposition, bi-linear and sesqui-linear forms, duality and tensors. The book also included short expositions of diverse scientific applications of linear algebra, including to internet search, classical mechanics, graph theory, cryptography, coding theory, data compression, special relativity, quantum mechanics and quantum computing.

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25

Vairappan, Charles S. Ecological Chemicals as Ecosystem Function Mediaters and Potential Lead Pharmaceuticals. UMS Press, 2021. http://dx.doi.org/10.51200/ecologicalchemicalsumspress2021-978-967-2962-94-6.

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Relationship between functioning ecosystem services and human wellbeing has been established as a bridge connecting nature and society. It has also become central pillar of sustainability science and dictates the paradigms of sustainable development. But, conceptual frameworks that systematically integrates the important roles played by natural ecological chemicals by establishing empirical links between the nature and ecology not only varies, but lacks clear support. The value of ecological chemicals as ecosystem derived natural products warrants explicit acknowledgement, only then trade-offs between services and prioritization of policy can be realised. In the last 20 years, important roles played by the ecological chemicals in Bornean terrestrial and marine ecosystems were investigated and reported. Terrestrial plants produce Volatile Organic Chemicals (VOCs) and structurally interesting secondary metabolites that facilitate their ecological processes that are aimed to establish communication such as defence, attraction, deterrent and territorial marking. Some of the most commonly utilized herbs and plants of traditional medicine importance showed very interesting chemical constituents, that justify their traditional utilization for human wellbeing. The role of VOCs that originated from animal diet and emitted through decomposition of faeces, was traced back to their important role as attractants of insects, particularly dung beetles that facilitates the remineralization of faeces and returns C and N to soil as to replenish global C and N-sink. Marine flora and fauna are perhaps the most vivid producers of structurally interesting secondary metabolites with more than one ecological functions. Halogenated secondary metabolites produced by red algae Laurencia are unique in their structural design and exhibited multiple biological potentials. Similarly, soft corals in the Sulu-Sulawesi Coral Triangle produced a huge diversity of terpenoids and functions as feeding deterrents of these soft bodied invertebrates. Ecological chemicals obtained from the Bornean biodiversity also exhibited a wide array of medically important biological activities such as anti-microbial, anti-inflammation, anti-anticancer and serves an important array of lead pharmaceuticals. Some of these compounds are very potent and have been patented as lead-pharmaceutical candidates from Bornean natural products. Hence, ecological chemicals are important natural products that regulate ecological processes that ensures ecological balance in tropical ecosystems. Humans who are the custodians of natural ecosystem, stand to benefit directly and indirectly when we practice sustainable utilization and regulation of our natural resources.

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