Correspondence principle

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  • By means of the Hardy-Littlewood method, we apply a new mean value theorem for exponential sums to confirm the truth, over the rational numbers, of the Hasse principle for pairs of diagonal cubic forms in thirteen or more variables. 1. Introduction Early work of Lewis [14] and Birch [3], [4], now almost a half-century old, shows that pairs of quite general homogeneous cubic equations possess non-trivial integral solutions whenever the dimension of the corresponding intersection is suitably large (modern refinements have reduced this permissible affine dimension to 826; see [13]). ...

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  • Epidemiology Patients receive, on average, 10 different drugs during each hospitalization. The sicker the patient, the more drugs are given, and there is a corresponding increase in the likelihood of adverse drug reactions. When 15 drugs are given, the probability is 40%. Retrospective analyses of ambulatory patients have revealed adverse drug effects in 20%.

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  • The Genetic Map Given the size and complexity of the human genome, initial efforts aimed at developing genetic maps to provide orientation and to delimit where a gene of interest may be located. A genetic map describes the order of genes and defines the position of a gene relative to other loci on the same chromosome. It is constructed by assessing how frequently two markers are inherited together (i.e., linked) by association studies. Distances of the genetic map are expressed in recombination units, or centiMorgans (cM).

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  • Population Genetics In population genetics, the focus changes from alterations in an individual's genome to the distribution pattern of different genotypes in the population. In a case where there are only two alleles, A and a, the frequency of the genotypes will be p2 + 2pq + q2 = 1, with p2 corresponding to the frequency of AA, 2pq to the frequency of Aa, and q2 to aa. When the frequency of an allele is known, the frequency of the genotype can be calculated. Alternatively, one can determine an allele frequency, if the genotype frequency has been determined. Allele frequencies vary...

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  • In this chapter, students will be able to understand: Understand what are essential Ions Cofactors; understand how metal ions can function as electrophiles in active site; define coenzyme, cosubstrate, prosthetic group, metabolite coenzymes, Vitamin; know what Vitamin corresponds to what coenzyme;...

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  • Digital electronics is the branch of electronics based on the combination and switching of voltages called logic levels. Any quantity in the outside world, such as temperature, pressure, or voltage, can be symbolized in a digital circuit by a group of logic voltages that, taken together, represent a binary number. Each logic level corresponds to a digit in the binary (base 2) number system. The binary digits, or bits, 0 and 1, are sufficient to write any number, given enough places. The hexadecimal (base 16) number system is also important in digital systems.

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  • Chaos and the quantum mechanical behaviour of classically chaotic systems have been attracting increasing attention. Initially, there was perhaps more emphasis on the theoretical side, but this is now being backed up by experimental work to an increasing extent. The words 'Quantum Chaos' are often used these days, usually with an undertone of unease, the reason being that, in contrast to classical chaos, quantum chaos is ill defined; some authors say it is non-existent. So, why is it that an increasing number of physicists are devoting their efforts to a subject so fuzzily defined?...

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  • MAXIMUM PRINCIPLES FOR A FAMILY OF NONLOCAL BOUNDARY VALUE PROBLEMS PAUL W. ELOE Received 21 October 2003 and in revised form 16 February 2004 We study a family of three-point nonlocal boundary value problems (BVPs) for an nthorder linear forward difference equation. In particular, we obtain a maximum principle and determine sign properties of a corresponding Green function. Of interest, we show that the methods used for two-point disconjugacy or right-disfocality results apply to this family of three-point BVPs. 1.

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  • The correspondence 1 of P. J. Proudhon, the first volumes of which we publish to-day, has been collected since his death by the faithful and intelligent labors of his daughter, aided by a few friends. It was incomplete when submitted to Sainte Beuve, but the portion with which the illustrious academician became acquainted was sufficient to allow him to estimate it as a whole with that soundness of judgment which characterized him as a literary critic.

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  • The cross-industry Self-Regulatory Program for Online Behavioral Advertising was developed by leading industry associations to apply consumer-friendly standards to online behavioral advertising across the Internet. Online behavioral advertising increasingly supports the convenient access to content, services, and applications over the Internet that consumers have come to expect at no cost to them. The Self-Regulatory Program consists of seven Principles.

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  • Tuyển tập các báo cáo nghiên cứu về y học được đăng trên tạp chí y học General Psychiatry cung cấp cho các bạn kiến thức về ngành y đề tài: Mourning and melancholia revisited: correspondences between principles of Freudian metapsychology and empirical findings in neuropsychiatry...

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  • Financial and insurance markets always operate under various types of uncertainties that can affect nancial positions of companies and individuals. In nancial and insurance theories these uncertainties are usually referred to as risks. Given certain states of the market, and the economy in general, one can talk about risk exposure. Any economic activities of individuals, companies and public establishments aiming for wealth accumulation assume studying risk exposure. The sequence of the corresponding actions over some period of time forms the process of risk management.

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  • History Design Principles Kernel Modules Process Management Scheduling Memory Management File Systems Input and Output Interprocess Communication Network Structure Security History Linux is a modem, free operating system based on UNIX standards. First developed as a small but self-contained kernel in 1991 by Linus Torvalds, with the major design goal of UNIX compatibility. Its history has been one of collaboration by many users from all around the world, corresponding almost exclusively over the Internet.

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  • Worked examples are a necessary element to any textbook in the sciences, because they reinforce the theory (i.e. the principles, concepts and methods). Once the theory has been understood, well chosen examples can be used, with modification, as a template to solve more complex, or similar problems. This work book contains examples and full solutions to go with the text of our e-book (Heat Transfer, by Long and Sayma). The subject matter corresponds to the five chapters of our book: Introduction to Heat Transfer, Conduction, Convection, Heat Exchangers and Radiation....

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  • The Finnish Higher Education Evaluation Council (FINHEEC) has conducted audits of the quality systems of higher education institutions (HEIs) since 2005. The goal of the audits is to support Finnish HEIs in developing their quality systems to correspond to the European quality assurance principles 1 and to demonstrate that Finland has competent and systematic national quality assurance in place for higher education. Under the Finnish Universities Act and Polytechnics Act, HEIs are responsible for the quality and continuous development of their education and other operations.

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  • We prove an identity of Kloosterman integrals which is the fundamental lemma of a relative trace formula for the general linear group in n variables. 1. Introduction One of the simplest examples of Langlands’ principle of functoriality is the quadratic base change. Namely, let E/F be a quadratic extension of global fields and z → z the corresponding Galois conjugation. The base change associates to every automorphic representation π of GL(n, F) an automorphic representation Π of GL(n,E). If n = 1 then π is an id`ele class character and Π(z) = π(zz)....

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  • Finnish HEIs decide on their own quality systems, and the comprehensiveness, functioning and effectiveness of the systems are evaluated in the audits. Thus, the audit approach corresponds to the principle of enhancement-led evaluation, which has become a strong tradition in the Finnish evaluation practice. According to the audit reports and feedback received from HEIs, the audits have enhanced the systematic development of quality systems and operating methods.

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  • Hindawi Publishing Corporation Fixed Point Theory and Applications Volume 2011, Article ID 914624, 21 pages doi:10.1155/2011/914624 Research Article Critical Point Theorems and Ekeland Type Variational Principle with Applications Lai-Jiu Lin,1 Sung-Yu Wang,1 and Qamrul Hasan Ansari2 1 2 Department of Mathematics, National Changhua University of Education, Changhua 50058, China Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, Taiwan Correspondence should be addressed to Lai-Jiu Lin,

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  • The design principles favoured in Europe, because of economic and other restraints such as smaller and twistier roads, leant toward smaller cars and corresponding to the design principles that concentrated on increasing the combustion efficiency of smaller engines. This produced more economical engines with earlier four-cylinder designs rated at 40 horsepower (30 kW) and six-cylinder designs rated as low as 80 horsepower (60 kW), compared with the large volume V-8 American engines with power ratings in the range from 250 to 350 hp, some even over 400hp. (190 to 260 kW)...

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  • The cost component of the pension benefit corresponding to each year of service is the actuarial present value of the benefit earned in that year. In principle the same amount of pension benefit is attributed to each year of service. If and to the extent that as of the beginning of the year, the present value of the projected benefit obligation differs from the market value of the plan assets or the existing pension provision, the difference is amortized over the average remaining service period of active employees.

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