Characteristic problems

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  • ON THE EXISTENCE OR THE ABSENCE OF GLOBAL SOLUTIONS OF THE CAUCHY CHARACTERISTIC PROBLEM FOR SOME NONLINEAR HYPERBOLIC EQUATIONS S. KHARIBEGASHVILI Received 20 October 2004 For wave equations with power nonlinearity we investigate the problem of the existence or nonexistence of global solutions of the Cauchy characteristic problem in the light cone of the future. 1. Statement of the problem Consider a nonlinear wave equation of the type u := ∂2 u − ∆u = f (u) + F, ∂t 2 (1.1) where f and F are the given real functions; note that f is a nonlinear and u is an unknown real...

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  • This paper presents the results of soil characteristics study and orientation for rational and sustainable use of major soil types in Thai Thuy District, Thai Binh Province, where is facing many environmental problems. The interactive process between river, sea and human activities over time has resulted in the characteristics of 10 soil types, which are grouped in 4 main classes (acid sulfate soil, saline soil, alluvial soil and sandy soil). They have been used for agricultural production (mainly for rice and other crops growing).

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  • I Industrial Education for the Negro Booker T. Washington II The Talented Tenth W.E. Burghardt DuBois III The Disfranchisement of the Negro Charles W. Chesnutt IV The Negro and the Law Wilford H. Smith V The Characteristics of the Negro People H.T. Kealing VI Representative American Negroes Paul Laurence Dunbar VII The Negro's Place in American Life at the Present Day T. Thomas Fortune 211 187 161 125 77 31 7 [Transcriber's Note: Variant spellings have been left in the text. Obvious typos have been corrected and indicated with a footnote.] Industrial Education for the Negro By BOOKER T.

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  • China is rapidly developing as evidenced by enhanced urbanization and industrialization and greatly increased energy consumption. However, these have brought Chinese cities a variety of urban air pollution problems in recent decades. During the 1970s, black smoke from stacks became the characteristic of Chinese industrial cities; in the 1980s, many southern cities began to suffer serious acid rain pollution; and recently, the air quality in large cities has deteriorated due to nitrous oxides (NOx), carbon monoxide (CO), and photochemical smog, which are typical of vehicle pollution.

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  • Chapter 2 - The market system and the circular flow. When you finish this chapter, you should: Differentiate between a command system and a market system; list the main characteristics of the market system; explain how the market system decides what to produce, how to produce it, and who obtains it; discuss how the market system adjusts to change and promotes progress; describe the mechanics of the circular flow model.

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  • After studying this chapter you will be able to understand: Give the names and summarize the main characteristics of the four basic market models, list the conditions required for purely competitive markets, convey how purely competitive firms maximize profits or minimize losses in the short run, explain why a competitive firm’s marginal cost curve is the same as its supply curve.

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  • In this chapter, students will be able to understand: List the characteristics of pure monopoly, explain how a pure monopoly sets its profit-maximizing output and price, discuss the economic effects of monopoly, describe why a monopolist might prefer to charge different prices in different markets, distinguish between the monopoly price, the socially optimal price, and the fair-return price of a government-regulated monopoly.

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  • Chapter 11 - Monopolistic competition and oligopoly. After reading this chapter, you should be able to: List the characteristics of monopolistic competition, explain why monopolistic competitors earn only a normal profit in the long run, describe the characteristics of oligopoly, discuss how game theory relates to oligopoly,...

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  • At the end of the course, the students will be able to: understand the special characteristics of children as language learners; manage children language classes; create, adapt and analyse activities and resources for YL apply theoretical background into practice of teaching language skills.

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  • Groundwater is an important resource that serves as a backbone of human development. In several regions, mostly in developing countries, groundwater from sedimentary and hard rock aquifers used for drinking is naturally contaminated with arsenic. In different countries in Asia such as India, Bangladesh, Cambodia, China, Nepal, Pakistan, Taiwan, Thailand and Vietnam, the situation of arsenic toxicity is alarming and severe health problems are reported amongst the inhabitants relying on groundwater as sources of water for drinking purposes....

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  • The purpose of Measurement, Instrumentation, and Sensors Handbook CRCnetBase 1999 is to provide a reference that is both concise and useful for engineers in industry, scientists, designers, managers, research personnel and students, as well as many others who have measurement problems. The CD-ROM covers an extensive range of topics that comprise the subject of measurement, instrumentation, and sensors. The CD-ROM describes the use of instruments and techniques for practical measurements required in engineering, physics, chemistry, and the life sciences.

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  • Parametric representation of shapes, mechanical components modeling with 3D visualization techniques using object oriented programming, the well known golden ratio application on vertical and horizontal displacement investigations of the ground surface, spatial modeling and simulating of dynamic continuous fluid flow process, simulation model for waste-water treatment, an interaction of tilt and illumination conditions at flight simulation and errors in taxiing performance, plant layout optimal plot plan, atmospheric modeling for weather prediction, a stochastic search method that explores ...

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  • The environmental challenges we face today include all of the same ones that we faced more than 30 years ago at the first Earth Day celebration in 1970. In spite of the unflagging efforts of environmental professionals (and others), environmental problems remain. Many large metropolitan areas continue to be plagued by smog, beaches are periodically polluted by oil spills, and many running waters (rivers and streams) still suffer the effects of poorly treated sewage and industrial discharges....

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  • This short text is the output of a desire to produce a helpful additional source for my students and from that, perhaps be of use to other similar students and managers of this subject area. After several years of working with classes on Management Decision Making, the need for a short and focused integrative text was clear to me. There are many excellent texts on both the qualitative and quantitative aspects of decision making, but few which address both.

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  • Interest in food lipids has grown dramatically in recent years as a result of findings related to their health effects. Fats and oils have often been condemned because of their high energy value and due to potential health problems associated with certain saturated fatty acids as well as trans fats. However, lipids are important in that they provide essential fatty acids and fat-soluble vitamins as well as flavor, texture, and mouthfeel to foods.

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  • Research Reports IWMI’s mission is to improve the management of land and water resources for food, livelihoods and environment. In serving this mission, IWMI concentrates on the integration of policies, technologies and management systems to achieve workable solutions to real problems—practical, relevant results in the field of irrigation and water and land resources.

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  • Computing the usual productivity measures requires data on the value of transactions and either prices or quantities. In the final research study of this volume, Erwin Diewert notes that Canada lacks direct price and quantity measures for many important services industries. Other nations also have this problem. As a result, the usual productivity indexes cannot be evaluated properly for those services industries, nor can we get a complete picture of productivity performance for the economy as a whole.

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  • A review of silicon properties is important to understanding silicon components, in particular modern components such as strained-silicon MOSFETs and heterojunction bipolar transistors. Several books cover this subject in detail. The objective of this chapter is to highlight those features that are most important to silicon device operation and characteristics.

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  • A major stumbling block of manual approaches is the problem of keeping the alignments up to date with new releases of protein sequences.Arobust and efficient updating scheme is required to ensure stabil- ity of the database. These requirements are met in Pfam by using two alignments: a high quality seed alignment, which changes only little or not at all between releases, and a full alignment, which is built by automatically aligning all members to a hidden Markov model-based profile (HMM) derived from the seed alignment.

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  • One of the characteristics of non-wood fibres is the much wider range of fibre lengths in different species (Atchison 1987). Many of these fibres, such as straws, reeds and bagasse, are similar in length to the short fibre hardwoods. On the other hand, others such as flax and hemp are so long that they have to be shortened prior to papermaking (Atchison 1987). From a quality point of view, any grade of paper can be produced by the combination of different non-wood plant fibres (Atchison & McGovern 1987). For instance, flax has a very long fibre length and...

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