Multiple functions

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  • The prime number theorem, first results on multiplicative functions, integers without large prime factors, proof of Delange’s Theorem, deducing the prime number theorem from Hal´asz’s theorem,... as the main contents of the document "Multiplicative number theory". Invite you to refer to the document content more learning materials and research.

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  • Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí sinh học quốc tế đề tài : Multiple functions of the von Willebrand Factor A domain in matrilins: secretion, assembly, and proteolysis

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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: Multiple functions for CD28 and cytotoxic T lymphocyte antigen-4 during different phases of T cell responses: implications for arthritis and autoimmune diseases...

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Superstability of Generalized Multiplicative Functionals

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  • Prelude multiplicative functions, Introduction to sieve methods, Interlude probabilistic number theory, The combinatorial sieve, Some applications of sieve methods, Gaps between primes, Irregularities in the distribution of primes,... As the main contents of the document "Sieve methods". Invite you to consult.

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  • The divisibility properties of Dirichlet L-functions in infinite families of characters have been studied by Iwasawa, Ferrero and Washington. The families considered by them are obtained by twisting an arbitrary Dirichlet character with all characters of p-power conductor for some prime p. One has to distinguish divisibility by p (the case considered by Iwasawa and FerreroWashington [FeW]) and by a prime = p (considered by Washington [W1], [W2]). Ferrero and Washington proved the vanishing of the Iwasawa µ-invariant of any branch of the Kubota-Leopoldt p-adic L-function. ...

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  • This multiple-case study focuses on the practices and functions of customer reference marketing, and on the ways through which customer references can be deployed as marketing assets. The research is based on multiple-case-study methodology and the empirical findings were derived from an in-depth analysis of 38 semi-structured personal interviews with managers in four case companies operating in the fields of process and information technology.

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  • Understand the concept of functions with default arguments Define and use Friend functions advantages disadvantage friend classes Describe function overloading various data types different number of arguments

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  • Describe Multiple Inheritance Constructors under Multiple Inheritance Ambiguity in Multiple Inheritance Multiple Inheritance with a Common Base Describe Virtual Base Classes Constructors and Destructors Use Pointers to Objects to access Member Functions

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  • In the present paper, we propose the effective usage of function words to generate generalized translation rules for forest-based translation. Given aligned forest-string pairs, we extract composed tree-to-string translation rules that account for multiple interpretations of both aligned and unaligned target function words. In order to constrain the exhaustive attachments of function words, we limit to bind them to the nearby syntactic chunks yielded by a target dependency parser.

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  • This paper proposes a novel method that exploits multiple resources to improve statistical machine translation (SMT) based paraphrasing. In detail, a phrasal paraphrase table and a feature function are derived from each resource, which are then combined in a log-linear SMT model for sentence-level paraphrase generation. Experimental results show that the SMT-based paraphrasing model can be enhanced using multiple resources. The phrase-level and sentence-level precision of the generated paraphrases are above 60% and 55%, respectively.

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  • A number of grammatical formalisms were introduced to define the syntax of natural languages. Among them are parallel multiple context-free grammars (pmcfg's) and lexical-functional grammars (lfg's). Pmcfg's and their subclass called multiple context-free grammars (mcfg's) are natural extensions of cfg's, and pmcfg's are known to be recognizable in polynomial time. Some subclasses of lfg's have been proposed, but they were shown to generate an AlP-complete language. Finite state translation systems (fts') were introduced as a computational model of transformational grammars. ...

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  • This paper discusses a sequence of deductive parsers, called PAD1 - PAD5, that utilize an a x i o m a t i z a t i o n of the p r i n c i p l e s a n d parameters of GB theory, including a restricted transformational component (Move-a). PAD2 uses an inference control strategy based on the "freeze" predicate of Prolog-II, while PAD3 - 5 utilize the Unfold-Fold transformation to transform the original axiomatization into a form that functions as a recursive descent Prolog parser for the fragment. INTRODUCTION In this paper I...

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  • Chapter 10 present functional dependencies and normalization for relational databases. This chapter includes contents: Informal design guidelines for relational databases, functional dependencies (FDs), normal forms based on primary keys, general normal form definitions (For Multiple Keys), BCNF (Boyce-Codd Normal Form).

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  • Contructive Problems, Binary and other base, Constructing functions by iterations, Approximating with linear functions, Extremal element method, Multiplicative Cauchy Equation, As the main contents of the document "Functional Equations: Electronic Edition 2007". Each of your content and references for additional lectures will serve the needs of learning and research.

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  • Chapter 4: Function minimization algorithms. Quine mccluskey method for one output, iterated consensus for one output, prime implicant tables for one output, quine mccluskey for multiple output problems, iterated consensus for multiple output problems, prime implicant tables for multiple output problems, solved problems, exercises7

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  • APPLICATION MANUAL Alain Calmels Product Engineer (Power Modules) Microsemi® Power Module Products 33700 Merignac, France Introduction To simplify the design of high power, high performance applications, MICROSEMI introduced a new advanced Dual IGBT Driver. Dedicated to drive high Power IGBT modules (up to 300A, 1200V, 50 kHz) in phase leg operation (as shown on Fig. 1), this circuit provides multiple functions to optimize IGBT performance. This application note describes some techniques to: -Verify the driver capacity by the total gate charge calculation. ...

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  • Function calls are relatively simple in a high-level language, but actually involve multiple steps and instructions at the assembly level.

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  • Multiple values retrieved from a set can be summarized—or aggregated—into a single value that can be used in a calculated member. Some of the most useful analytical formulas created by using multidimensional expressions (MDX) come from aggregating sets of values. In this module, students learn how to use aggregation functions to create formulas.

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  • The biological sciences have become more quantitative and information-driven since emerging computational and mathematical tools facilitate collection and analysis of vast amounts of biological data. Complexity analysis of biological systems provides biological knowledge for the organization, management, and mining of biological data by using advanced computational tools. The biological data are inherently complex, nonuniform, and collected at multiple temporal and spatial scales.

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