Academic literature on the topic 'Freiman's theory of set addition'
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Journal articles on the topic "Freiman's theory of set addition"
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GREEN, BEN, and TERENCE TAO. "Freiman's Theorem in Finite Fields via Extremal Set Theory." Combinatorics, Probability and Computing 18, no. 3 (May 2009): 335–55. http://dx.doi.org/10.1017/s0963548309009821.
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Using various results from extremal set theory (interpreted in the language of additive combinatorics), we prove an asymptotically sharp version of Freiman's theorem in $\F_2^n$: if $A \subseteq \F_2^n$ is a set for which |A + A| ≤ K|A| then A is contained in a subspace of size $2^{2K + O(\sqrt{K}\log K)}|A|$; except for the $O(\sqrt{K} \log K)$ error, this is best possible. If in addition we assume that A is a downset, then we can also cover A by O(K46) translates of a coordinate subspace of size at most |A|, thereby verifying the so-called polynomial Freiman–Ruzsa conjecture in this case. A common theme in the arguments is the use of compression techniques. These have long been familiar in extremal set theory, but have been used only rarely in the additive combinatorics literature.
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Sanders, Tom. "The structure theory of set addition revisited." Bulletin of the American Mathematical Society 50, no. 1 (October 2, 2012): 93–127. http://dx.doi.org/10.1090/s0273-0979-2012-01392-7.
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Lev, Vsevolod F. "Restricted set addition in Abelian groups: results and conjectures." Journal de Théorie des Nombres de Bordeaux 17, no. 1 (2005): 181–93. http://dx.doi.org/10.5802/jtnb.485.
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Ramírez, Juan. "A New Set Theory for Analysis." Axioms 8, no. 1 (March 6, 2019): 31. http://dx.doi.org/10.3390/axioms8010031.
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We provide a canonical construction of the natural numbers in the universe of sets. Then, the power set of the natural numbers is given the structure of the real number system. For this, we prove the co-finite topology, C o f ( N ) , is isomorphic to the natural numbers. Then, we prove the power set of integers, 2 Z , contains a subset isomorphic to the non-negative real numbers, with all its defining structures of operations and order. We use these results to give the power set, 2 N , the structure of the real number system. We give simple rules for calculating addition, multiplication, subtraction, division, powers and rational powers of real numbers, and logarithms. Supremum and infimum functions are explicitly constructed, also. Section 6 contains the main results. We propose a new axiomatic basis for analysis, which represents real numbers as sets of natural numbers. We answer Benacerraf’s identification problem by giving a canonical representation of natural numbers, and then real numbers, in the universe of sets. In the last section, we provide a series of graphic representations and physical models of the real number system. We conclude that the system of real numbers is completely defined by the order structure of natural numbers and the operations in the universe of sets.
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Freiman, Gregory A., and Boris M. Schein. "Interconnections between the structure theory of set addition and rewritability in groups." Proceedings of the American Mathematical Society 113, no. 4 (April 1, 1991): 899. http://dx.doi.org/10.1090/s0002-9939-1991-1072338-3.
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Nazarewicz, E., M. O'Brien, M. O'Neill, and C. Staples. "Equality in Pollard's theorem on set addition of congruence classes." Acta Arithmetica 127, no. 1 (2007): 1–15. http://dx.doi.org/10.4064/aa127-1-1.
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GAO, XIAOYU, Q. S. GAO, Y. HU, and L. LI. "A PROBABILITY-LIKE NEW FUZZY SET THEORY." International Journal of Pattern Recognition and Artificial Intelligence 20, no. 03 (May 2006): 441–62. http://dx.doi.org/10.1142/s0218001406004697.
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In this paper, the reasons for the shortcoming of Zadeh's fuzzy set theory — it cannot correctly reflect different kinds of fuzzy phenomenon in the natural world — are discussed. In addition, the proof of the error of Zadeh's fuzzy set theory — it incorrectly defined the set complement that cannot exist in Zadeh's fuzzy set theory — is proposed. This error of Zadeh's fuzzy set theory causes confusion in thinking, logic and conception. It causes the seriously mistaken belief that logics of fuzzy sets necessarily go against classical and normal thinking, logic and conception. Two new fuzzy set theories, C-fuzzy set theory and probability-like fuzzy set theory, the N-fuzzy set theory, are proposed. The two are equivalent, and both overcome the error and shortcoming of Zadeh's fuzzy set theory, and they are consistent with normal, natural and classical thinking, logic and concepts. The similarities of N-fuzzy set theory with probability theory are also examined.
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BAUTERS, KIM, STEVEN SCHOCKAERT, MARTINE DE COCK, and DIRK VERMEIR. "Characterizing and extending answer set semantics using possibility theory." Theory and Practice of Logic Programming 15, no. 1 (January 10, 2014): 79–116. http://dx.doi.org/10.1017/s147106841300063x.
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AbstractAnswer Set Programming (ASP) is a popular framework for modelling combinatorial problems. However, ASP cannot be used easily for reasoning about uncertain information. Possibilistic ASP (PASP) is an extension of ASP that combines possibilistic logic and ASP. In PASP a weight is associated with each rule, whereas this weight is interpreted as the certainty with which the conclusion can be established when the body is known to hold. As such, it allows us to model and reason about uncertain information in an intuitive way. In this paper we present new semantics for PASP in which rules are interpreted as constraints on possibility distributions. Special models of these constraints are then identified as possibilistic answer sets. In addition, since ASP is a special case of PASP in which all the rules are entirely certain, we obtain a new characterization of ASP in terms of constraints on possibility distributions. This allows us to uncover a new form of disjunction, called weak disjunction, that has not been previously considered in the literature. In addition to introducing and motivating the semantics of weak disjunction, we also pinpoint its computational complexity. In particular, while the complexity of most reasoning tasks coincides with standard disjunctive ASP, we find that brave reasoning for programs with weak disjunctions is easier.
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Károlyi, Gyula. "An inverse theorem for the restricted set addition in Abelian groups." Journal of Algebra 290, no. 2 (August 2005): 557–93. http://dx.doi.org/10.1016/j.jalgebra.2005.04.021.
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Forster, T. E. "Term models for weak set theories with a universal set." Journal of Symbolic Logic 52, no. 2 (June 1987): 374–87. http://dx.doi.org/10.2307/2274387.
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We shall be concerned here with weak axiomatic systems of set theory with a universal set. The language in which they are expressed is that of set theory—two primitive predicates, = and ϵ, and no function symbols (though some function symbols will be introduced by definitional abbreviation). All the theories will have stratified axioms only, and they will all have Ext (extensionality: (∀x)(∀y)(x = y· ↔ ·(∀z)(z ϵ x ↔ z ϵ y))). In fact, in addition to extensionality, they have only axioms saying that the universe is closed under certain set-theoretic operations, viz. all of the formand these will always include singleton, i.e., ι′x exists if x does (the iota notation for singleton, due to Russell and Whitehead, is used here to avoid confusion with {x: Φ}, set abstraction), and also x ∪ y, x ∩ y and − x (the complement of x). The system with these axioms is called NF2 in the literature (see [F]). The other axioms we consider will be those giving ⋃x, ⋂x, {y: y ⊆x} and {y: x ⊆ y}. We will frequently have occasion to bear in mind that 〈 V, ⊆ 〉 is a Boolean algebra in any theory extending NF2. There is no use of the axiom of choice at any point in this paper. Since the systems with which we will be concerned exhibit this feature of having, in addition to extensionality, only axioms stating that V is closed under certain operations, we will be very interested in terms of the theories in question. A T-term, for T such a theory, is a thing (with no free variables) built up from V or ∧ by means of the T-operations, which are of course the operations that the axioms of T say the universe is closed under.
Dissertations / Theses on the topic "Freiman's theory of set addition"
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Tringali, Salvatore. "Some questions in combinatorial and elementary number theory." Phd thesis, Université Jean Monnet - Saint-Etienne, 2013. http://tel.archives-ouvertes.fr/tel-01060871.
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This thesis is divided into two parts. Part I is about additive combinatorics. Part II deals with questions in elementary number theory. In Chapter 1, we generalize the Davenport transform to prove that if si S\mathbb A=(A, +)S is acancellative semigroup (either abelian or not) and SX, YS are non-empty subsets of SAS such that the subsemigroup generated by SYS is abelian, then SS|X+Y|\gc\min(\gamma(Y, |X|+|Y|-I)SS, where for SZ\subsetcq AS we let S\gamma(Z):=\sup_{z_0\in Z^\times}\in f_(z_0\nc z\inZ) (vm ord)(z-z_0)S. This implies an extension of Chowla's and Pillai's theorems for cyclic groups and a stronger version of an addition theorem by Hamidoune and Karolyi for arbitrary groups. In Chapter 2, we show that if S(A, +) is a cancellative semigroup and SX, Y\subsetcq AS then SS|X+Y|\gc\min(\gammaX+Y), |X|+|Y|-I)SS. This gives a generalization of Kemperman's inequality for torsion free groups and a stronger version of the Hamidoune-Karolyi theorem. In Chapter 3, we generalize results by Freiman et al. by proving that if S(A,\ctlot)S is a linearly orderable semigroup and SSS is a finite subset of SAS generating a non-abelian subsemigroup, then S|S^2-\gc3|S|-2S. In Chapter 4, we prove results related to conjecture by Gyory and Smyth on the sets SR_k^\pm(a,b)S of all positive integers SnS such that Sn^kS divides Sa^a \pmb^nS for fixed integers SaS, SbS and SkS with Sk\gc3S, S|ab|\gc2Set S\gcd(a,b) = 1S. In particular, we show that SR_k^pm(a,b)S is finite if Sk\gc\max(|a|.|b|)S. In Chapter 5, we consider a question on primes and divisibility somchow related to Znam's problem and the Agoh-Giuga conjecture
Books on the topic "Freiman's theory of set addition"
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Büning, H. Kleine. Projections of vector addition system reachability sets are semilinear. Stanford, Calif: Dept. of Computer Science, Stanford University, 1988.
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Thies, Cameron. Role Theory and Foreign Policy. Oxford University Press, 2017. http://dx.doi.org/10.1093/acrefore/9780190846626.013.291.
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Role theory is an approach to the study of foreign policy that developed in the interdisciplinary field of social psychology and can be appropriately applied at the individual, state, and system level analyses. Role theory, which first attracted attention in the foreign policy literature after the publication of K. J. Holsti’s 1970 study of national role conception, does not refer to a single theory, but rather a family of theories, an approach, or perspective that begins with the concept of role as central to social life. The major independent variables in the study of roles include role expectations, role demands, role location, and audience effects (including cues). In addition, role theory contains its own model of social identity based on three crucial dimensions: status, value, and involvement. The 1987 publication of Stephen G. Walker’s edited volume, Role Theory and Foreign Policy Analysis, set the stage for further advances in the use of role theory in both the fields of foreign policy and international relations. According to Walker, role theory has a rich language of descriptive concepts, the organizational potential to bridge levels of analyses, and numerous explanatory advantages. This makes role theory an extremely valuable approach to foreign policy analysis. Role theory also offers a way of bringing greater integration between foreign policy analysis and international relations, especially through constructivist meta-theory.
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Chalfa Ruyter, Nancy Lee. La Meri and Her Life in Dance. University Press of Florida, 2019. http://dx.doi.org/10.5744/florida/9780813066097.001.0001.
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La Meri (Russell Meriwether Hughes, 1899–1988) was a performing artist, choreographer, teacher, and writer who built her career on ethnologic dance from many parts of the world. In the 1920s and 1930s, under the management of her agent-husband Guido Carreras, she toured in Latin America, Europe, Asia, the Pacific, and the United States. Despite the heavy schedule of travel and performances, she was able to obtain instruction in local dance genres, purchase costumes, and obtain recordings of the music in many of the countries. The new material would then be added to her concert programs. In late 1939, touring was no longer possible because of World War II, so La Meri and Carreras settled in New York City. There, she established a school, the Ethnologic Dance Center, and dance companies. She continued performing in New York and on tour in the United States, and, in addition to teaching and concert work, created original choreographies using techniques such as those of India and Spain. In 1960, she moved to Cape Cod, Massachusetts, where she continued her work until 1984, when she returned to San Antonio. In addition to her practical work in dance, La Meri also published writings that set forth her conceptions, understandings, goals and methodologies. This book is both a biography of La Meri and an analysis of the significance of her theory and practice, with attention to her own performance, choreography, writings, and teaching.
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Blackman, Melinda. The Effective Interview. Edited by Susan Cartwright and Cary L. Cooper. Oxford University Press, 2009. http://dx.doi.org/10.1093/oxfordhb/9780199234738.003.0009.
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The face of the employment interview has been gradually transforming over the past fifty years with the culmination of new research, theory, and practices. Now more than ever, researchers and human resource professionals are demanding interview formats that accurately and reliably predict a plethora of criteria in addition to the job candidate's skill set. No longer is the implementation of the traditional structured interview format sufficient for screening applicants. The effective interview is on its way to being transformed into a multifaceted instrument that aims to surpass the predictive precision of standardized selection tests. This article outlines the impetus of research, theory, and practice that spurred on the interview's transformation and the long-term payoff which employers are receiving from the changes. It gives a glimpse of where the employment interview is headed in the upcoming decade and the factors that make today's employment interview so effective.
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Hu, Xuhui. Theoretical foundations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198808466.003.0002.
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Adopting the constructivist approach, especially building on Borer’s (2005a, b, 2013a) XS Model, two theoretical elements in the theory of the syntax of events are put forward. The first element concerns the specific constraints on the interaction between conceptual meaning and syntactic derivation. The content of the predicate will be integrated into the interpretation derived from the syntax via a set of Integration Conditions, according to which, the interpretation derived from syntax licenses the legitimacy of the predicate content. The second theoretical assumption is the addition of the DivP to the event phrase (EP) structure. A verbal feature is in nature an [iDiv] feature, which is equivalent to the interpretable feature provided by the classifier in the nominal domain. The stative/dynamic interpretation of an event is tied to the value of the [iDiv] feature, which further explains the grammatical distinction between two types of homogeneous predicates.
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Cairney, Paul. Paul A. Sabatier, “An Advocacy Coalition Framework of Policy Change and the Role of Policy-Oriented Learning Therein”. Edited by Martin Lodge, Edward C. Page, and Steven J. Balla. Oxford University Press, 2016. http://dx.doi.org/10.1093/oxfordhb/9780199646135.013.24.
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This chapter focuses on the Advocacy Coalition Framework (ACF), a highly influential approach to public policy that has been adopted in the United States and many other developed countries. The ACF first emerged in the 1990s, seeking to produce a general theory of policy-making based on the idea that people engage in politics to translate their beliefs, rather than their simple material interests, into action. In addition to representing an approach to the study of contemporary public policy, the ACF offers a set of ideas about how scientific enquiry should be conducted. The chapter examines how the ACF’s proponents, especially Paul Sabatier, have influenced the discussion of public policy as a discipline and a branch of science. After providing a summary of the ACF and its ideas, the discussion turns to its expansion and revision and how it has shaped thinking and research on public policy.
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Berber, Stevan. Discrete Communication Systems. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198860792.001.0001.
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The book present essential theory and practice of the discrete communication systems design, based on the theory of discrete time stochastic processes, and their relation to the existing theory of digital communication systems. Using the notion of stochastic linear time invariant systems, in addition to the orhogonality principles, a general structure of the discrete communication system is constructed in terms of mathematical operators. Based on this structure, the MPSK, MFSK, QAM, OFDM and CDMA systems, using discrete modulation methods, are deduced as special cases. The signals are processed in the time and frequency domain, which requires precise derivatives of their amplitude spectral density functions, correlation functions and related energy and pover spectral densities. The book is self-sufficient, because it uses the unified notation both in the main ten chapters explaining communications systems theory and nine supplementary chapters dealing with the continuous and discrete time signal processing for both the deterministic and stochastic signals. In this context, the indexing of vital signals and finctions makes obvious distinction beteween them. Having in mind the controversial nature of the continuous time white Gaussian noise process, a separate chapter is dedicated to the noise discretisation by introducing notions of noise entropy and trauncated Gaussian density function to avoid limitations in applying the Nyquist criterion. The text of the book is acompained by the solutions of problems for all chapters and a set of deign projects with the defined projects’ topics and tasks and offered solutions.
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Laible, Deborah J., Gustavo Carlo, and Laura M. Padilla-Walker, eds. The Oxford Handbook of Parenting and Moral Development. Oxford University Press, 2019. http://dx.doi.org/10.1093/oxfordhb/9780190638696.001.0001.
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Without a doubt, parents play a critical role in socializing moral development in their children. This handbook provides a collection of state-of-the-art theories and research on the important role that parents play in moral development. The contributors take a comprehensive, yet nuanced approach to considering the links between parenting and different aspects of moral development. The volume begins by providing an overview of traditional and contemporary theories on parenting and moral development, including perspectives related to parenting styles, domain theory, attachment theory, and evolutionary theory. In addition, there are several chapters that explore the genetic and biological influences related to parenting and moral development. The second section of the volume explores cultural and religious approaches to parenting and moral development and presents examples of contemporary research with diverse populations such as Muslim cultures and US Latino/as. The last major section of the volume examines recent developments and approaches to parenting, including chapters on topics such as helicopter parenting, proactive parenting, parent-child conversations and disclosure, parental discipline, and other parenting practices designed to foster moral development. Overall, the volume brings together the latest scholarship on parenting and moral development and lays out the next set of fundamental theoretical and empirical issues that will significantly advance the field. This volume is a must-read for scholars, practitioners, educators, students, and policy makers interested in the latest scholarly developments in the field of parenting and moral development.
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Murray, Sarah E. The Semantics of Evidentials. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199681570.001.0001.
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This book gives a compositional, truth‐conditional, crosslinguistic semantics for evidentials set in a theory of the semantics for sentential mood. Central to this semantics is a proposal about a distinction between what propositional content is at‐issue, roughly primary or proffered, and what content is not‐at‐issue. Evidentials contribute not‐at‐issue content, more specifically what I will call a not‐at‐issue restriction. In addition, evidentials can affect the level of commitment a sentence makes to the main proposition, contributed by sentential mood. Building on recent work in the formal semantics of evidentials and related phenomena, the proposed semantics does not appeal to separate dimensions of illocutionary meaning. Instead, I argue that all sentences make three contributions: at‐issue content, not‐at‐issue content, and an illocutionary relation. At‐issue content is presented, made available for subsequent anaphora, but is not directly added to the common ground. Not‐at‐issue content directly updates the common ground. The illocutionary relation uses the at‐issue content to impose structure on the common ground, which, depending on the clause type (e.g., declarative, interrogative), can trigger further updates. Empirical support for this proposal comes from Cheyenne (Algonquian, primary data from the author’s fieldwork), English, and a wide variety of languages that have been discussed in the literature on evidentials.
Book chapters on the topic "Freiman's theory of set addition"
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Deshouillers, Jean-Marc, Gregory Freiman, and Alexander Yudin. "An application of structure theory of set addition to a question in ergodic theory." In DIMACS Series in Discrete Mathematics and Theoretical Computer Science, 53–60. Providence, Rhode Island: American Mathematical Society, 2004. http://dx.doi.org/10.1090/dimacs/064/06.
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Walrand, Jean. "Perspective and Complements." In Probability in Electrical Engineering and Computer Science, 271–307. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-49995-2_15.
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AbstractWe have explored a number of topics motivated by concrete applications. It is time to stitch together these ideas into a complete panorama. In addition, we provide some complements.Section 15.1 discusses the general question of inference: what can one deduce from observations? Section 15.2 explains the important notion of sufficient statistic: what is the relevant data in a set of observations? Section 15.3 presents the theory of Markov chains where the number of states is infinite. Section 15.4 explains the Poisson process. Section 15.5 discusses the boosting algorithm for choosing among experts. What drug should you further research; what noisy channel should one use? These are examples of multi-armed bandit problems. In such problems one faces the trade-off between exploiting known possibilities versus exploring potentially more rewarding but less well understood alternatives. Section 15.6 explains a key results for such multi-armed bandit problems. Information Theory studies the limits of communication systems: how fast can one transmit bits reliably over a noisy channel? How many bits should be transmitted to convey some information? Section 15.7 introduces some key concepts and results of Information Theory. When estimating the likelihood of errors or the reliability of some estimates, one usually has to calculate bounds on the probability that a random variable exceeds a given value. Section 15.8 discusses some useful probability bounds. Section 15.9 explains the main ideas of the theory of martingales and shows how it provides a proof of the law of large numbers.
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Mehta, Rupal N. "Theory of Nuclear Reversal." In Delaying Doomsday, 26–59. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780190077976.003.0002.
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This chapter presents the core theoretical framework in this study: an analysis of nuclear reversal at the systemic level and the conditions under which the international community is able to induce a proliferator to abandon a nascent nuclear program. Specifically, it introduces a novel theoretical approach that highlights the necessity to negotiate with both positive and negative inducements in the shadow of military force. In addition to including the core hypotheses for empirical testing, it includes a discussion of probabilistic conditions to help examine a broader set of proliferation cases. These conditions include the impact of leadership change on the association between inducements and nuclear reversal, as well as how a proliferator’s relationship with the United States influences the likelihood of nuclear reversal. It concludes with potential limitations and overarching policy implications of the framework.
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Balasko, Yves. "The Fine Picture." In General Equilibrium Theory of Value. Princeton University Press, 2011. http://dx.doi.org/10.23943/princeton/9780691146799.003.0008.
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This chapter restricts the m-tuple (fi) of demand functions defining the exchange model to belong to εc. In addition to the assumptions made in the previous chapters (recall that εc is a subset of εr), the demand function fi satisfies the weak axiom of revealed preferences for every consumer, and the slightly stronger negative definiteness of the Slutsky matrix for the consumer whose demand function satisfies desirability (A). These stronger assumptions are aimed at giving more economic flesh to the exchange model. As a consequence, the natural projection inherits much stronger properties that give a specificity of its own to the exchange model. The most important properties of the exchange model with (fi) ɛ εc are the regularity of the no-trade equilibria, the openness and full measure (a.k.a., the genericity) of the set of regular equilibria as a subset of the equilibrium manifold, the inclusion of the set of equilibrium allocations in one and only one connected component of the set of regular economies, the uniqueness of equilibrium for all economies belonging to that component, and the interpretation of that property in terms of trade intensity.
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Das, T. K. "Decision Making by Using Intuitionistic Fuzzy Rough Set." In Emerging Research on Applied Fuzzy Sets and Intuitionistic Fuzzy Matrices, 268–86. IGI Global, 2017. http://dx.doi.org/10.4018/978-1-5225-0914-1.ch012.
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This chapter begins with a brief introduction of the theory of rough set. Rough set is an intelligent technique for handling uncertainty aspect in the data. This theory has been hybridized by combining with many other mathematical theories. In recent years, much decision making on rough set theory has been extended by embedding the ideas of fuzzy sets, intuitionistic fuzzy sets and soft sets. In this chapter, the notions of fuzzy rough set and intuitionistic fuzzy rough (IFR) sets are defined, and its properties are studied. Thereafter rough set on two universal sets has been studied. In addition, intuitionistic fuzzy rough set on two universal sets has been extensively studied. Furthermore, we would like to give an application, which shows that intuitionistic fuzzy rough set on two universal sets can be successfully applied to decision making problems.
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Kaliyaperumal, Palanivel. "Fuzzy Dynamic Programming Problem for Single Additive Constraint with Additively Separable Return by Means of Trapezoidal Membership Functions." In Handbook of Research on Fuzzy and Rough Set Theory in Organizational Decision Making, 168–87. IGI Global, 2017. http://dx.doi.org/10.4018/978-1-5225-1008-6.ch008.
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Dynamic Programming Problem (DPP) is a multivariable optimization problem is decomposed into a series of stages, optimization being done at each stage with respect to one variable only. DP stands a suitable quantitative study procedure that can be used to explain various optimization problems. It deals through reasonably large as well as complex problems; in addition, it involves creating a sequence of interconnected decisions. The technique offers an efficient procedure for defining optimal arrangement of decisions. Throughout this chapter, solving procedure completely deliberate about as Fuzzy Dynamic Programming Problem for single additive constraint with additively separable return with the support of trapezoidal membership functions and its arithmetic operations. Solving procedure has been applied from the approach of Fuzzy Dynamic Programming Problem (FDPP). The fuzzified version of the problem has been stated with the support of a numerical example for both linear and nonlinear fuzzy optimal solutions and it is associated to showing that the proposed procedure offers an efficient tool for handling the dynamic programming problem instead of classical procedures. As a final point the optimal solution with in the form of fuzzy numbers and justified its solution with in the description of trapezoidal fuzzy membership functions.
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Bird, Jennifer Lynne. "Narratives of Emotional Truth." In Using Narrative Writing to Enhance Healing, 101–28. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-7998-1931-8.ch004.
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This narrative uses a multigenre format to discuss the writing theory of emotional truth, where writers share truth as they remember it. Factual truth focuses on facts, while emotional truth focuses on the emotions associated with a memory. The example provided uses health coaching, an addition to the medical field that encourages patients to share their stories and set goals for themselves in addition to the goals set for them by their medical team. Fictional elements combine with research in creative nonfiction.
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Refaat, Ahmed M. "Space Syntax Theory and Its Contribution to Urban Design." In Handbook of Research on Digital Research Methods and Architectural Tools in Urban Planning and Design, 203–22. IGI Global, 2019. http://dx.doi.org/10.4018/978-1-5225-9238-9.ch010.
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This chapter presents the theory of space syntax and its contributions to urban design. The theory, introduced in 1984 by Hillier and Hanson, refers to a set of principles and techniques to investigate and reveal the characteristics of urban settlements via concrete measures. In this regard, the current chapter is divided into several sections. The first section demonstrates the space syntax theory at both conceptual and methodological levels. In the second section, the measures of connectivity, integration, choice, and intelligibility are discussed, and linked to the traditional urban values such as accessibility and legibility the traditional urban values. In the third section, types of space syntax analysis are discussed, in addition to their importance and their application potentials. This chapter demonstrates the contributions of space syntax theory to urban design and architecture. This finding provides a potential mechanism for explaining how the theory succeeded in presenting numerical and concrete measures to reveal what have been intangible values of urban settlements such as legibility and accessibility.
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Acharjya, D. P., and Mary A. Geetha. "Rough Set on Two Universal Sets Based on Multigranulation." In Data Mining and Analysis in the Engineering Field, 159–79. IGI Global, 2014. http://dx.doi.org/10.4018/978-1-4666-6086-1.ch009.
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The fundamental concept of crisp set has been extended in many directions in the recent past. The notion of rough set by Pawlak is noteworthy among them. The rough set philosophy is based on the concept that there is some information associated with each object of the universe. There is a need to classify objects of the universe based on the indiscernibility relation among them. In the view of granular computing, rough set model is researched by single granulation. It has been extended to multigranular rough set model in which the set approximations are defined by using multiple equivalence relations on the universe simultaneously. However, in many real life scenarios, an information system establishes the relation with different universes. This gave the extension of multigranulation rough set on single universal set to multigranulation rough set on two universal sets. This chapter defines multigranulation rough set for two universal sets U and V. In addition, the algebraic properties, measures of uncertainty and topological characterization that are interesting in the theory of multigranular rough sets are studied. This helps in describing and solving real life problems more accurately.
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Das, Tapan Kumar. "Multi-Criteria Decision Making in Marketing by Using Fuzzy Rough Set." In Advances in Business Information Systems and Analytics, 100–118. IGI Global, 2017. http://dx.doi.org/10.4018/978-1-5225-0997-4.ch006.
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Most of the marketing problems are complex and unstructured due to the business dynamics and considerable uncertainty involved in the operating environments. Hence decision making in marketing involves evaluation of several parameters and thus multi criteria decision makings are a good choice in most of the decision-making tasks like supplier selection; market places selection; target marketing; etc. This chapter begins with a brief introduction of the theory of rough set which is an intelligent technique for handling uncertainty aspect in the data. However, the notions of fuzzy rough set and intuitionistic fuzzy rough (IFR) sets are defined, and its properties are studied. Thereafter rough set on two universal sets has been studied. In addition, intuitionistic fuzzy rough set on two universal sets has been extensively studied. Furthermore, this chapter shows that intuitionistic fuzzy rough set can be successfully practiced in decision making problems.
Conference papers on the topic "Freiman's theory of set addition"
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Miyamoto, Ayaho. "Application of Rough Set Theory to Rule‐type Knowledge Discovery from Field Inspection Data on Highway Bridges." In IABSE Workshop, Helsinki 2017: Ignorance, Uncertainty, and Human Errors in Structural Engineering. Zurich, Switzerland: International Association for Bridge and Structural Engineering (IABSE), 2017. http://dx.doi.org/10.2749/helsinki.2017.032.
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This paper describes an acquisitive method of rule‐type knowledge from the field inspection data on highway bridges. The proposed method is enhanced by introducing an improvement to a traditional data mining technique, i.e. applying the rough set theory to the traditional decision table reduction method. The new rough set theory approach helps in cases of exceptional and contradictory data, which in the traditional decision table reduction method are simply removed from analyses. Instead of automatically removing all apparently contradictory data cases, the proposed method determines whether the data really is contradictory and therefore must be removed or not. The method has been tested with real data on bridge members including girders and filled joints in bridges owned and managed by a highway corporation in Japan. There are, however, numerous inconsistent data in field data. A new method is therefore proposed to solve the problem of data loss. The new method reveals some generally unrecognized decision rules in addition to generally accepted knowledge. Finally, a computer program is developed to perform calculation routines, and some field inspection data on highway bridges is used to show the applicability of the proposed method.
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Azimi, Ali, Daniel Holz, Jozsef Kövecses, Jorge Angeles, and Marek Teichmann. "Dynamics Simulation of Rovers on Soft Terrain: Theory, Algorithms, and Experimental Validation." In ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/detc2014-35548.
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A new framework is developed in this paper for the efficient implementation of semi-empirical terramechanics models in multibody dynamics environments. In this approach, for every wheel in contact with soft soil, unilateral contact constraints are added to the solver in both the normal direction and the tangent plane. The forces associated with the tangent plane, like traction and rolling resistance, are formulated in this approach as set-valued functions, whose properties are determined by deregularization of the above-mentioned terramechanics relations. As shown in this paper, this leads to the dynamics representation in the form of a linear complementarity problem (LCP). With this formulation, stable simulation of rovers is achieved even with relatively large time steps. In addition, a high-resolution height-field is employed to model terrain-surface deformations and changes in hardening of soil under the wheel. As a result, the multi-pass effect is also captured in our approach. In addition, an extensive set of experiments was conducted using a version of the Juno rover (Juno II). The experimental results are analyzed and compared with the model developed in the paper.
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Scott, Elsje, and Maureen Tanner. "Using a Partnership in Industry to Link Theory and Practice in Undergraduate Courses." In InSITE 2015: Informing Science + IT Education Conferences: USA. Informing Science Institute, 2015. http://dx.doi.org/10.28945/2187.
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The Information Systems (IS) profession is known as one of the most dynamic fields in our current day and age. Rapid advances in Information and Communication Technologies (ICTs) increase the dependence of organizations on these ICTs and create a greater need for IS competence. This demand constitutes serious challenges to academia to provide graduates with the necessary skill set to fulfil their roles in industry and to cope more effectively with real life problems. In an attempt to address this skills gap, a theory of coherent practice was developed to act as a framework for creating a synthesis of theory and practice when designing curricula for undergraduate courses. This paper reports on a specific implementation that led to an industry partnership, and the construction of a Case study to support a flipped classroom approach and provide context for a real life problem. In addition, it guided the design of a set of carefully structured interventions directing student evolution through different stages of development. Although further refinement to the implementation of the theory in the design of second year courses is needed, the value of the approach in preparing students more effectively for professional practice is already apparent in student feedback and in their performance in the courses.
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Mettlach, Gregory A., and Ashok Midha. "Using Burmester Theory in the Design of Compliant Mechanisms." In ASME 1996 Design Engineering Technical Conferences and Computers in Engineering Conference. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-detc/mech-1181.
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Abstract Compliant mechanisms have been defined as mechanical systems that derive some or all of their mobility from the flexibility of one or more of their members. In general, due to the large-deflection nature of the compliant members, analysis and synthesis of compliant mechanisms have typically required a numerical iterative solution method. Recently, analytical loop-closure synthesis techniques have been extended to the design of compliant mechanisms, by utilizing the concept of an equivalent pseudo-rigid-body model for a compliant mechanism. These developments have greatly simplified the synthesis of compliant mechanisms. These mechanisms have been synthesized for three precision points using analytical and graphical methods. In rigid-link mechanism design, additional precision points may be incorporated by using Burmester theory. With this enhancement as the motivation, this paper presents the first use of Burmester theory to design compliant mechanisms for four and five precision points. This is facilitated by use of the concept of an equivalent pseudo-rigid-body model. Burmester theory yields a linear set of kinematic equations, allowing for their easy utilization herein. Also for some design problems, this theory can provide a graphical representation of all possible solutions for compliant mechanisms. In addition to the specification of precision points for compliant mechanisms, input torque and/or potential energy values may also be prescribed.
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Shi, Pengfei, and John McPhee. "On the Use of Virtual Work in a Graph-Theoretic Formulation for Multibody Dynamics." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4199.
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Abstract In this paper, graph-theoretic and virtual work methods are combined in a new formulation of the equations of motion for rigid and flexible multibody systems. In addition to extending the theory for existing graph-theoretic approaches, this new formulation offers two distinct improvements. First, the set of differential-algebraic dynamic equations are smaller in number than those obtained using conventional formulations. Secondly, the equations of motion for rigid and flexible multibody systems can be generated using a consistent graph-theoretic approach, thereby leading to an efficient and modular computer implementation.
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Seifried, Robert, and Markus Burkhardt. "Servo-Constraints for Control of Flexible Multibody Systems With Contact." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12334.
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This paper presents inversion based feedforward control design for flexible multibody systems with kinematic loops and end-effector contact. The inverse model provides for a given desired output trajectories, e.g. end-effector point and contact force, the required control inputs for exact output reproduction. A very appealing and efficient model inversion approach for such multibody systems is the use of so-called servo-constraints. These can be seen as an extension of classical mechanical constraints and yield a set of differential-algebraic equations. This allows an efficient numerical solution without burdensome symbolic manipulations. In addition, the use of servo-constraints allows the straight-forward treatment of flexible multibody systems with various topologies. The arising set of differential-algebraic equations describes the inverse model. The inverse model might be purely algebraic or include a dynamical part, which is called internal dynamics in nonlinear control theory. For its numerical solution it is advisable to transform the set of differential-algebraic equations to its underlying set of ordinary differential equations. The solution method for this internal dynamics depends then on its stability. For systems with unstable internal dynamics, as considered in this paper, a solution can be computed from a boundary-value problem. The efficiency of this approach is demonstrated for a flexible multibody system with a kinematic loop and a closed end-effector contact.
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Sawa, Toshiyuki, Kengo Kuwaki, Yukio Morozumi, and Masahiko Okumura. "FEM Stress Analysis of the Characteristics of Bolted Joints Under External Loadings (In the Case Where Two Hollow Cylinders Are Clamped)." In ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/detc2011-48247.
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In designing bolted joints, it is necessary to know the stress distributions in bolted joints. Recently, high strength bolts have been used with a higher bolt preload. As the results, the permanent set occurs sometimes at the bearing surfaces of clamped parts in a bolted joint. In addition, when an external load is applied to the bolted joint, the permanent set can be extended at the bearing surfaces. As the permanent set increases, the reduction in the bolt preload increases. Thus, it is important to estimate the reduction in the bolt preload from the reliability stand point. However, no study on the permanent set at the bearing surface under the external loading has been carried out. In this study, the stress distribution and the extension of the permanent set at the bearing surface of the bolted joint under the external tensile loading are examined using finite element Method (FEM), where two hollow cylinders are clamped with a hexagon bolt and a nut. The spring constants for the hexagon bolt and the clamped parts are analyzed using an axi-symmetrical theory of elasticity. Using the obtained results, an increment in the axial bolt force and the reduction in the bolt preload are estimated. For verification of the FEM stress analysis, the load factor of hexagon bolt was measured. The FEM results of the load factor (the increment in the axial bolt force) and the axial bolt force are in a fairly good agreement with the experimental results and the reduction of the axial bolt force. Finally, discussion is made on the appreciate bolt preload.
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Fan, XiaoJing, LaiBin Zhang, Wei Liang, and ZhaoHui Wang. "Leak Detection Method Based on Support Vector Machine." In 2008 7th International Pipeline Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/ipc2008-64118.
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Assumptive and uncertain factors, few leak samples, complex non-linear pipeline systems are the problems often involved in the process of pipeline leak detection. Furthermore, the pressure wave changes of leakage are similar to these of valve regulation and pump closure. Thus it is difficult to establish a reliable model and to distinguish the leak signal pattern from others in pipeline leak detection. The veracity of leak detection system is limited. This paper presents a novel technique based on the statistical learning theory, support vector machine (SVM) for pipeline leak detection. Support Vector Machine (SVM) is learning system that uses a hypothesis space of linear functions in a high dimensional feature space, trained with a learning algorithm from optimization theory that implements a learning bias derived from statistical learning theory. SVM is based on the principle of structure risk minimization as opposed to the principle of empirical risk minimization in conventional techniques. Thus, SVM has good performance for classification over small sample set. In this paper, an overview of the limitations of traditional statistics and the advantage of statistical learning theory will be introduced. In this paper, an SVM classifier is used to classify the signal pattern with few samples. Firstly, the algorithm of the SVM classifier and steps of using the model to identify leakage signals are studied. Secondly, the classification results of the experiment show that SVM classifier has high recognition accuracy. In addition, SVM is compared with neural network method. Then the paper concludes that in terms of classification ability and generalization performance, SVM has clearly advantages than neural network method over small sample set, so SVM is more applicable to pipeline leak detection.
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McGee, C. Gavin, and Douglas E. Adams. "Simulating and Detecting a Vibration-Induced Failure in an Air-Handling Assembly." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21501.
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Abstract Excessive vibrations usually cause mechanical parts to fail. This paper describes a vibration-induced failure in an air handling assembly. Cyclic impacts between a valve and a set of powdered metal bushings cause the failure. A variety of signal processing techniques are used to analyze experimental response data from the failing part including standard spectral signature approaches (i.e. Fourier, cepstral) in addition to more advanced time-frequency analysis techniques (i.e. wavelet contour maps). The theory and application of each method is reviewed in the context of the specific failure mode under consideration. The paper demonstrates that where friction or impact related vibrations are present, structural dynamic “health” monitoring schemes can be used to track changes in operating response signatures and schedule condition-based maintenance or re-design.
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Torrilhon, Manuel, and Henning Struchtrup. "Gas Micro-Flow Modelling Based on Regularized 13-Moment-Equations." In ASME 2008 First International Conference on Micro/Nanoscale Heat Transfer. ASMEDC, 2008. http://dx.doi.org/10.1115/mnht2008-52274.
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We summarize our recent contributions to the development of macroscopic transport equations for gas micro-flows. A combination of the Chapman-Enskog expansion and Grad’s moment method in kinetic theory of gases yields the Regularized 13-Moment-Equations (R13 equations). These equations overcome deficiencies of Grad’s equations or Burnett models. They are asymptotically of super-Burnett order, i.e., of third order in the Knudsen number and linearly stable for all wave frequencies. In addition, a complete set of boundary conditions can derived from the accommodation boundary conditions of the Boltzmann equations. Mathematically, more boundary conditions are required and they can be derived from the R13 system itself through coherence relations. We present micro-channel and shock wave simulations to prove that R13 is a reliable and efficient continuum model for micro-flows of gases with moderate Knudsen numbers.