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.
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...
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.
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. ...
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.
Understand the concept of functions with default arguments
Define and use Friend functions
Describe function overloading
various data types
different number of arguments
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
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.
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.
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. ...
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...
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).
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.
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.
Multiple values retrieved from a set can be summarizedor aggregatedinto
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.
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
The casting process represents the shortest route from the basic material, the alloyed melt, to the casting ready to be installed with optimized multiple functions. In contrast to this unique advantage exists the problem of the difficult control and diagnosis of the casting parameters which are responsible for the quality and the functionality of the casting. Only the melting parameters, chemical alloy composition and pouring temperature which can be set by inoculant or alloy wires and the heating capacity of the furnace before the casting are exceptions....