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Relevant bibliographies by topics / Extended convex function

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Academic literature on the topic 'Extended convex function'

Author: Grafiati

Published: 4 September 2021

Last updated: 1 February 2022

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Journal articles on the topic "Extended convex function"

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Jung, Chahn Yong, Ghulam Farid, Kahkashan Mahreen та Soo Hak Shim. "Inequalities for a Unified Integral Operator for Strongly α , m -Convex Function and Related Results in Fractional Calculus". Journal of Function Spaces 2021 (15 березня 2021): 1–8. http://dx.doi.org/10.1155/2021/6610836.

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In this paper, we study integral inequalities which will provide refinements of bounds of unified integral operators established for convex and α , m -convex functions. A new definition of function, namely, strongly α , m -convex function is applied in different forms and an extended Mittag-Leffler function is utilized to get the required results. Moreover, the obtained results in special cases give refinements of fractional integral inequalities published in this decade.

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Dong, Yanliang, Maryam Saddiqa, Saleem Ullah та Ghulam Farid. "Study of Fractional Integral Operators Containing Mittag-Leffler Functions via Strongly α , m -Convex Functions". Mathematical Problems in Engineering 2021 (12 січня 2021): 1–13. http://dx.doi.org/10.1155/2021/6693914.

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The main aim of this paper is to give refinement of bounds of fractional integral operators involving extended generalized Mittag-Leffler functions. A new definition, namely, strongly α , m -convex function is introduced to obtain improvements of bounds of fractional integral operators for convex, m -convex, and α , m -convex functions. The results of this paper will provide simultaneous generalizations as well as refinements of various published results.

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Mihai, Marcela V., Muhammad Uzair Awan, Muhammad Aslam Noor, Tingsong Du, Artion Kashuri, and Khalida Inayat Noor. "On Extended General Mittag–Leffler Functions and Certain Inequalities." Fractal and Fractional 3, no. 2 (2019): 32. http://dx.doi.org/10.3390/fractalfract3020032.

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In this paper, we introduce and investigate generalized fractional integral operators containing the new generalized Mittag–Leffler function of two variables. We establish several new refinements of Hermite–Hadamard-like inequalities via co-ordinated convex functions.

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Chen, Yin. "Multi-dimensional Hadamard's inequalities." Tamkang Journal of Mathematics 43, no. 1 (2012): 1–10. http://dx.doi.org/10.5556/j.tkjm.43.2012.677.

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In this paper, Hadamard's inequalities are extended to a convex function on a convex set in $R^2$ or $R^3$. In particular, it is proved that the average of convex function on a ball of radius $r$ is between the average of the function on the circle of radius r and that on the circle of $\frac{2r}{3}$

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Ma, Fangfang, Waqas Nazeer, and Mamoona Ghafoor. "Hermite-Hadamard, Jensen, and Fractional Integral Inequalities for Generalized P -Convex Stochastic Processes." Journal of Mathematics 2021 (July 13, 2021): 1–9. http://dx.doi.org/10.1155/2021/5524780.

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The stochastic process is one of the important branches of probability theory which deals with probabilistic models that evolve over time. It starts with probability postulates and includes a captivating arrangement of conclusions from those postulates. In probability theory, a convex function applied on the expected value of a random variable is always bounded above by the expected value of the convex function of that random variable. The purpose of this note is to introduce the class of generalized p -convex stochastic processes. Some well-known results of generalized p -convex functions suc

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Vivas-Cortez, Miguel, Artion Kashuri, Rozana Liko, and Jorge Eliecer Hernández Hernández. "Trapezium-Type Inequalities for an Extension of Riemann–Liouville Fractional Integrals Using Raina’s Special Function and Generalized Coordinate Convex Functions." Axioms 9, no. 4 (2020): 117. http://dx.doi.org/10.3390/axioms9040117.

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In this paper, the authors analyse and study some recent publications about integral inequalities related to generalized convex functions of several variables and the use of extended fractional integrals. In particular, they establish a new Hermite–Hadamard inequality for generalized coordinate ϕ-convex functions via an extension of the Riemann–Liouville fractional integral. Furthermore, an interesting identity for functions with two variables is obtained, and with the use of it, some new extensions of trapezium-type inequalities using Raina’s special function via generalized coordinate ϕ-conv

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Phelps, R. R. "Counterexamples Concerning Support Theorems for Convex Sets in Hilbert Space." Canadian Mathematical Bulletin 31, no. 1 (1988): 121–28. http://dx.doi.org/10.4153/cmb-1988-019-1.

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AbstractThe Bishop-Phelps theorem guarantees the existence of support points and support functionals for a nonempty closed convex subset of a Banach space; equivalently, it guarantees the existence of subdifferentials and points of subdifferentiability of a proper lower semicontinuous convex function on a Banach space. In this note we show that most of these results cannot be extended to pairs of convex sets or functions, even in Hilbert space. For instance, two proper lower semicontinuous convex functions need not have a common point of subdifferentiability nor need they have a subdifferentia

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Vatsala, A. S., Mohamed A. Mahrous, and Hadi Yahya Alkahby. "Reaction diffusion equations and quadratic convergence." Journal of Applied Mathematics and Stochastic Analysis 10, no. 2 (1997): 179–86. http://dx.doi.org/10.1155/s104895339700021x.

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In this paper, the method of generalized quasilinearization has been extended to reaction diffusion equations. The extension includes earlier known results as special cases. The earlier results developed are when (i) the right-hand side function is the sum of a convex and concave function, and (ii) the right-hand function can be made convex by adding a convex function. In our present result, if the monotone iterates are mildly nonlinear, we establish the quadratic convergence as in the quasilinearization method. If the iterates are totally linear then the iterates converge semi-quadratically.

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Shuang, Ye, and Feng Qi. "Integral Inequalities of Hermite–Hadamard Type for Extended s-Convex Functions and Applications." Mathematics 6, no. 11 (2018): 223. http://dx.doi.org/10.3390/math6110223.

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In the paper, the authors set up an identity for a function whose third derivative is integrable, establish by the Hölder inequality some new integral inequalities of the Hermite–Hadamard type for extended s-convex functions in the second sense, and apply these integral inequalities to construct inequalities for several special means.

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Guo, Bai-Ni, and Qi Feng. "The function (bx−ax)/x: Logarithmic convexity and applications to extended mean values." Filomat 25, no. 4 (2011): 63–73. http://dx.doi.org/10.2298/fil1104063g.

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In the paper, we first prove the logarithmic convexity of the elementary function bx?ax/x, where x ? 0 and b > a > 0. Basing on this, we then provide a simple proof for Schur-convex properties of the extended mean values, and, finally, discover some convexity related to the extended mean values.

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Dissertations / Theses on the topic "Extended convex function"

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Marime, Alex José Carlos. "A study on fundamental topological concepts of lower semicontinuous and convex extended functions in Rn." Master's thesis, 2017. http://hdl.handle.net/10316/83047.

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Dissertação de Mestrado em Matemática apresentada à Faculdade de Ciências e Tecnologia<br>In this dissertation we show the main ideas concerning on convex sets (in an understood way) and extended convex functions. Our aim is to deal, didactically, with the main topics about convexity, as well as the consequent we explore the the involved concepts in Convex Analysis.In this sense, we carried out a bibliographical review that contemplated theorems, lemmas, corollaries and relevant propositions in several Articles, and Books. We hope that this study may constitute an important research source eit

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Books on the topic "Extended convex function"

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Orlik, Lyubov', and Galina Zhukova. Operator equation and related questions of stability of differential equations. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1061676.

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The monograph is devoted to the application of methods of functional analysis to the problems of qualitative theory of differential equations. Describes an algorithm to bring the differential boundary value problem to an operator equation. The research of solutions to operator equations of special kind in the spaces polutoratonny with a cone, where the limitations of the elements of these spaces is understood as the comparability them with a fixed scale element of exponential type. Found representations of the solutions of operator equations in the form of contour integrals, theorems of existe

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Catherine A, Rogers. Part II Staking Out Theoretical Boundaries and Building the Regime, 8 Herodotian Myths and the Impartiality of Arbitrators. Oxford University Press, 2014. http://dx.doi.org/10.1093/law/9780198713203.003.0009.

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This chapter debunks the Herodotian myth of absolute impartiality in discussing the function of self-regulation within the context of international arbitration. Renowned historian Herodotus was also known for his embellishments of historical characters as impossible, transcendent hero figures — a myth that has often been extended towards judges and arbitrators with regard to impartiality. Such a delusion of absolute objectivity, the chapter argues, is detrimental to the efficiencies that could have been otherwise engendered with ethical self-regulation. Arbitrators are not mythic figures of im

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Tolfrey, Keith, and James W. Smallcombe. High-intensity interval training. Edited by Neil Armstrong and Willem van Mechelen. Oxford University Press, 2017. http://dx.doi.org/10.1093/med/9780198757672.003.0035.

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High-intensity interval training (HIIT) is characterized by brief, intermittent bursts of near- or maximal-intensity exercise, interspersed by periods of active or passive recovery. The limited available evidence suggests that HIIT is an efficacious training method for young athletes. The effect of HIIT on cardiorespiratory fitness, endurance performance, explosive strength, and sport-specific performance has been examined in a range of young athletic populations from various sports. Furthermore, promising preliminary findings suggest that HIIT may confer further benefits to a range of health

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Isett, Philip. Hölder Continuous Euler Flows in Three Dimensions with Compact Support in Time. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691174822.001.0001.

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Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the incompressible Euler equations might fail to conserve energy if their spatial regularity was below 1/3-Hölder. This book uses the method of convex integration to achieve the best-known results regarding nonuniqueness of solutions and Onsager's conjecture. Focusing on the intuition behind the method, the ideas introduced now play a pivotal role in the ongoing study of weak solutions to fluid dynamics equations. The construction itself—an intricate algorithm with

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Marston, Kendra. Postfeminist Whiteness. Edinburgh University Press, 2018. http://dx.doi.org/10.3366/edinburgh/9781474430296.001.0001.

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This book is the first extended study into the politics of whiteness inherent within postfeminist popular cinema. It analyses a selection of Hollywood films dating from the turn of the millennium, arguing that the character of the ‘melancholic white woman’ operates as a trope through which to explore the excesses of late capitalism and a crisis of faith in the American dream. Melancholia can function as a form of social capital for these characters yet betrays its proximity to a gendered history of emotion and psychopathology. This figure is alternately idealised or scapegoated depending on ho

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Bianconi, Ginestra. Synchronization, Non-linear Dynamics and Control. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198753919.003.0015.

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This chapter is entirely devoted to characterizing non-linear dynamics on multilayer networks. Special attention is given to recent results on the stability of synchronization that extend the Master Stability Function approach to the multilayer networks scenario. Discontinous synchronization transitions on multiplex networks recently reported in the literature are also discussed, and their application discussed in the context of brain networks. This chapter also presents an overview of the major results regarding pattern formation in multilayer networks, and the proposed characterization of mu

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Flynn, Shawn W. Once a Child, Always a Child. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198784210.003.0005.

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This final chapter is both a conclusion and a brief consideration of one final category in a child’s life. It offers an overview of how children likely functioned in the domestic cult, and thus explores the child’s ongoing role as “child” even into adulthood. This is reinforced by a discussion of delinquency and the consequences for not upholding the domestic context as the child faced growing responsibility. The logic of the child’s domestic-cultic value in the pre-birth stage and as expressed in the material culture of childhood burials is extended to the expectations placed on them to promo

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Halbesleben, Jonathon, and Tom Bellairs. What Are the Motives for Employees to Exhibit Citizenship Behavior?: A Review of Prosocial and Instrumental Predictors of Organizational Citizenship Behavior. Edited by Philip M. Podsakoff, Scott B. Mackenzie, and Nathan P. Podsakoff. Oxford University Press, 2016. http://dx.doi.org/10.1093/oxfordhb/9780190219000.013.16.

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In this chapter, we review the literature concerning motives for engaging in organizational citizenship behavior (OCB) and frame this review within the broader literature on the functional, goal-driven approach to behavior. We extend this approach by viewing OCB in a context of one’s future work self—aspirations based on one’s salient view of his or her future in a work context—and how individuals can accomplish many goals through a single behavior (i.e., multifinality) or substitute various means (i.e., equifinality) in order to best satisfy goal-driven approaches to connect individuals to th

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Balentine, Samuel E., ed. The Oxford Handbook of Ritual and Worship in the Hebrew Bible. Oxford University Press, 2020. http://dx.doi.org/10.1093/oxfordhb/9780190222116.001.0001.

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The focus of this Handbook is on ritual and worship from the perspective of biblical studies, particularly on the Hebrew Bible and its ancient Near Eastern antecedents. Within this context, attention will be given to the development of ideas in Jewish, Christian, and Muslim thinking, but only insofar as they connect with or extend the trajectory of biblical precedents. The volume reflects a wide range of analytical approaches to ancient texts, inscriptions, iconography, and ritual artifacts. It examines the social history and cultural knowledge encoded in rituals, and explores the way rituals

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Wessels, Bob, and Stephan Madaus, eds. Rescue of Business in Europe. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198826521.001.0001.

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This edited volume is based on the European Law Institute’s (ELI) project ‘Rescue of Business in Insolvency Law’. The project ran from 2013 to 2017 under the auspices of the ELI and was conducted by Bob Wessels and Stephan Madaus, who were assisted by Gert-Jan Boon. The study sought to design (elements of) a legal framework that will enable the further development of coherent and functional rules for business rescue in Europe. This includes certain statutory procedures that could better enable parties to negotiate solutions where a business becomes financially distressed. Such a framework also

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Book chapters on the topic "Extended convex function"

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Arizmendi, Hugo, and Angel Carrillo. "On the Extended Spectral Radius in Some Classes of Locally Convex Algebras." In Function Spaces. CRC Press, 2020. http://dx.doi.org/10.1201/9781003066804-3.

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Asprey, Len, and Michael Middleton. "Functional Requirements - Workflow." In Integrative Document and Content Management. IGI Global, 2003. http://dx.doi.org/10.4018/978-1-59140-055-4.ch016.

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In Chapter 4, we reviewed how workflow management systems might be considered an integral component of IDCM architecture. We discussed the high-level functionality of workflow management systems and considered some of their capabilities. We noted that workflow management systems extend the functionality of core document and Web content repository services by enabling the controlled distribution of documents for review and approval. Furthermore, they also support controlled processes for publishing new or updated content to Internet and intranet Web sites. Our primary objective in this chapter is to extend our discussion on the role of workflow within the context of IDCM by reviewing the types of functional requirements to be specified when analyzing and determining business and technology options for integrating workflow with document and content repositories.

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"Response/Abilities of Seeing." In Seeing Degree Zero, edited by Ryan Bishop and Sunil Manghani. Edinburgh University Press, 2019. http://dx.doi.org/10.3366/edinburgh/9781474431415.003.0001.

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By considering John Cage's re-phrasing of 'responsibility' as 'response-ability', and thus foregrounding political engagement as requiring aesthetic capabilities and sensibilities, alongside Victor Burgin's extended explorations of the specificities of both making and viewing an artwork, the introduction undertakes two key functions. Firstly, it sets out the context for the book, which concerns Burgin's sustained reading of Barthes, begun in the 1960s, and how we understand images/imaging/Image. Secondly, in dialogue with this context, the chapter establishes the key operative themes and terms operative in the book as a whole. In attempting to set out its theoretical underpinning, the chapter ranges over issues of the political aesthetic, spatial/temporal ethics, the generative capacities of visualisation technologies, and contemporary spectatorship, particularly in relation to contemporary art.

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Struthers, David M. "Creating Connections Through Radical Practices." In The World in a City. University of Illinois Press, 2019. http://dx.doi.org/10.5622/illinois/9780252042478.003.0003.

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This chapter charts the growth of the political left in Los Angeles from the late nineteenth century into the twentieth century. It expands upon the preceding chapter’s examination of community development in Los Angeles by analyzing the strands of leftist organizations active in the city within the context of broader community formation patterns. The spatial practices of trade unions, political parties, and radical community groups affected how they engaged racial diversity or practiced exclusionary forms of solidarity. The chapter then considers the community-building function of media in leftist movements, the radical press, and a global print culture that extended solidarities out from Los Angeles to locations around the world. Analysis of radical newspapers focuses on financing, distribution, multilingual content, and consumption.

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Adaikan, Ganesh. "Female sexual dysfunction." In Oxford Textbook of Obstetrics and Gynaecology, edited by Sabaratnam Arulkumaran, William Ledger, Lynette Denny, and Stergios Doumouchtsis. Oxford University Press, 2020. http://dx.doi.org/10.1093/med/9780198766360.003.0060.

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According to the World Health Organization, sexual health as a state of physical, emotional, mental, and social well-being in the context of sexuality, excludes the mere absence of disease, dysfunction, or infirmity. Thus a woman’s sexual function encompasses many areas; the construct of a normal function as a quality of life indicator often but not always conforms to the sexual response cycle, which is an endogenous process contributed by hormonal, vascular, neuronal, and psycho-emotional factors. Clinical and scientific evidence abounds about the physiological role of sex steroids viz. oestrogen, testosterone, and also progesterone in facilitating and maintaining the woman’s sexual parameters. The neurophysiology extends from the central and peripheral nervous systems to the targeted genital structures resulting in coordinated vascular and non-vascular smooth muscle relaxation, to be accompanied by pelvic vasocongestion, vaginal lubrication, and labial and clitoral engorgement. Any detrimental impact on this normal cycle of concerted responses can result in a functional impairment or ‘female sexual dysfunction’ (FSD). Sexual changes, psychogenic or organic, are common in women at any age; such complaints are frequently accompanied by quality-of-life concerns, varying levels of personal distress, anxiety, depression, and also fertility concerns in younger women. With FSD as a medically diagnosable entity, fewer drugs have met the safety and efficacy criteria for global approval and clinical utility. In order to appreciate the diverse range of FSD and the extent of its physical, physiological, and psychological implications, it is important to understand the fundamentals as well as the changing paradigms in a woman’s sexual functioning.

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Perkins, Alisa. "Yemeni Women, Civic Purdah, and Private/Public Divides." In Muslim American City. NYU Press, 2020. http://dx.doi.org/10.18574/nyu/9781479828012.003.0004.

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This chapter analyzes how Yemeni American women’s everyday space-making practices in Hamtramck blur the lines between public and private, complicating mainstream modes of organizing space and scrambling the ideological correlates associated with these two discursive realms. The chapter discusses how Yemeni women across generations choreograph the gendering of space within homes, streets, neighborhoods, mosques, and schools, enriching their lives with social, cultural, spiritual, and economic exchanges. The chapter shows how areas in Yemeni homes, such as women’s living rooms, sometimes function as semi-public spaces open to an extended and loosely bounded set of non-kin visitors during times set apart for sociability and religious instruction. The chapter includes a discussion of how women-only spaces in mosques reproduce or echo some features of home-based gender norms. In secondary schools, Yemeni female youth sustain or modify community-based gender separation practices to establish comfortable spaces for themselves in an ethnically and racially mixed context.

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Tait, William W. "Variable-free formalization of the Curry-Howard Theory." In Twenty Five Years of Constructive Type Theory. Oxford University Press, 1998. http://dx.doi.org/10.1093/oso/9780198501275.003.0016.

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The reduction of the lambda calculus to the theory of combinators in Schönfinkel 1924 applies to positive implicational logic, i.e. to the typed lambda calculus, where the types are built up from atomic types by means of the operation A → B, to show that the lambda operator can be eliminated in favour of combinators К and S of each type A → (B → A) and(A → (B →C)) →((A →C)), respectively. I will extend that result to the case in which the types are built up by means of the general function type ∀х : A.B(x) as well as the disjoint union type Ǝх : A.B(x)— essentially to the theory of Howard 1980. To extend the treatment of→ to ∀ we shall need a generalized form of the combinators К and S, and to deal with Ǝ we will need to introduce a new form of the combinator S (whose type turns out to be a general form of the axiom of choice). But also in the present context, if we are to eliminate variables, then not only the lambda operator for forming terms, but also quantification as a variable-binding operation for forming formulas must be analyzed away; so we will need an analogue of the combinators for formulas. As usual, we shall write if for the value s(t) of the function s for the argument t; so rst is (r(s)))(t), etc. Let v be a free variable of type A. We wish to rewrite the formulas B(v), ∀x: A.B(x) and Ǝх : A.B(x), respectively, as B′v, ∀В′ and ƎB′, where B' is a type-valued function on A.

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Normann, Britt. "Body schema and body image disturbances in individuals with multiple sclerosis." In Body Schema and Body Image. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198851721.003.0017.

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This chapter argues that the concepts of body schema and body image can deepen our understanding of individuals with multiple sclerosis (MS) and can advance our conception of the physiotherapeutic process. Experiences of agency and body ownership are closely connected to body schema and body image and relate directly to the self-experiences of individuals with MS. The chapter argues that the concept of self-pattern provides a way to integrate these different factors. Sensorimotor disturbances in persons with MS compromise body schema and can disrupt various elements of their self-pattern, including pre-reflective experiential, reflective, extended, and intersubjective factors. On this view, movement analysis, handling skills, and clinical reasoning within physiotherapy can be recontextualized. Specificity is particularly important in this context, as sensorimotor functions are cornerstones of intentionality and an individual’s perceptions of affordances in daily life and are not merely neurophysiological processes, as conceived in traditional views on physiotherapy.

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Walther-Hansen, Mads. "Sound Quality." In Making Sense of Recordings. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780197533901.003.0004.

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The chapter takes a closer look at sonic concepts and the relevant major strands of research in the cognitive sciences. The chapter explores the ways in which the cognitive processing of sound is a multimodal task that extends into the world via language, technology, and actions. The main source of information in this study consists of cognitive metaphors reflected in written accounts, but the chapter also outlines nonlinguistic realizations of sound quality such as visual metaphors (e.g., graphical user interfaces) and enacted metaphors (e.g., bodily actions). The transition from analog mixing boards to digital ones that maintain the actions and look of the first-generation models is explored in the context of the SIGNAL FLOW metaphor. Finally, the schematic function of force metaphors in sound production is covered.

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Paddison, Max. "Time, Rhythm, and Subjectivity." In The Philosophy of Rhythm. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780199347773.003.0018.

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Chapter 17 argues for an experiential concept of temporality that takes Kantian subjectivity as its point of reference. Drawing on Bachelard’s phenomenology of duration, it makes a case for temporal experience as fundamentally subjective and exploratory, but historically contingent. Placing the aesthetic experience of music in this context, it argues for a large-scale notion of “rhythmicized duration” as form that affords extended scope for the aesthetic experience of temporality. Finally, the author argues that aesthetic concepts of temporality, duration, and rhythm are subject to change, development, and displacement, and as a result have functioned both normatively and metaphorically in different historical periods. It suggests that there are distinctly different aesthetic experiences of time, and that this is reflected in the fact that historical paradigms of temporal experience in music shift, which in turn serves to shape our experience of rhythm as structured duration.

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Conference papers on the topic "Extended convex function"

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Sasaki, S., and K. Uchida. "A convex characterization of analysis and synthesis for nonlinear systems via extended quadratic Lyapunov function." In Proceedings of 16th American CONTROL Conference. IEEE, 1997. http://dx.doi.org/10.1109/acc.1997.611830.

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Liu, Yilun, and Lei Zuo. "Integrating Structure and Controller Design to Mechanical Systems via Decentralized Control Techniques." In ASME 2015 Dynamic Systems and Control Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/dscc2015-9886.

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The overall performance of the mechanical system can be significantly improved by concurrently optimizing the plant and the controller. This paper proposes a new integrated design method via decentralized control techniques to concurrently optimize the structure and the controller, which aims at minimizing the system H2 norm from the disturbance to the system cost. The integrated design problems have been formulated in the cases of a full state feedback controller and a full order output feedback controller respectively. Inspired by noticing that the control techniques are capable of optimizin

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Kanevsky, Dimitri, David Nahamoo, Tara N. Sainath, Bhuvana Ramabhadran, and Peder A. Olsen. "A-Functions: A generalization of Extended Baum-Welch transformations to convex optimization." In ICASSP 2011 - 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP). IEEE, 2011. http://dx.doi.org/10.1109/icassp.2011.5947520.

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Zheng, Ying. "Hermite-hadamard Type Inequalities for Harmonic-arithmetically Extended s-e-Convex Functions." In 2018 3rd International Conference on Modelling, Simulation and Applied Mathematics (MSAM 2018). Atlantis Press, 2018. http://dx.doi.org/10.2991/msam-18.2018.29.

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Ohtake, Hiroyasu, and Yasuo Koizumi. "Study on Ex-Vessel Cooling of RPV: Model Analysis of Critical Heat Flux on Inclined Plate Facing Downward and Development to Hemispherical Surface." In 10th International Conference on Nuclear Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/icone10-22316.

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The cooling of the Ex-vessel in Light-Water-Reactors has been proposed to maintain reactor vessel integrity during severe accident. The critical heat flux — CHF — from the underside of down-facing convex surfaces, like hemispheres, is important to the assessment of the cooling. The authors examined CHFs on inclined plates under saturated boiling experimentally, focusing on the effect of the inclination angle on the CHF and characteristic length and velocity of coalesced bubbles near the heater at the CHF. In this study, the critical heat fluxes on the inclined plates in saturated boiling were

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Gandhi, Vijay, James Kang, Shashi Shekhar, Junchang Ju, Eric Kolaczyk, and Sucharita Gopal. "Context-Inclusive Approach to Speed-up Function Evaluation for Statistical Queries : An Extended Abstract." In Sixth IEEE International Conference on Data Mining - Workshops (ICDMW'06). IEEE, 2006. http://dx.doi.org/10.1109/icdmw.2006.52.

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Zimmer, Matthieu, and Paul Weng. "Exploiting the Sign of the Advantage Function to Learn Deterministic Policies in Continuous Domains." In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/625.

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In the context of learning deterministic policies in continuous domains, we revisit an approach, which was first proposed in Continuous Actor Critic Learning Automaton (CACLA) and later extended in Neural Fitted Actor Critic (NFAC). This approach is based on a policy update different from that of deterministic policy gradient (DPG). Previous work has observed its excellent performance empirically, but a theoretical justification is lacking. To fill this gap, we provide a theoretical explanation to motivate this unorthodox policy update by relating it to another update and making explicit the o

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Di Paola, Mario, Antonina Pirrotta, and Massimiliano Zingales. "Non-Linear Systems Under Parametric Alpha-Stable Le´vy White Noises." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85685.

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In this study stochastic analysis of nonlinear dynamical systems under a-stable, multiplicative white noise has been performed. Analysis has been conducted by means of the Itoˆ rule extended to the case of α-stable noises. In this context the order of increments of Levy process has been evaluated and differential equations ruling the evolutions of statistical moments of either parametrically and external dynamical systems have been obtained. The extended Itoˆ rule has also been used to yield the differential equation ruling the evolution of the characteristic function for parametrically excite

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Xiao, Yichi, Zhe Li, Tianbao Yang, and Lijun Zhang. "SVD-free Convex-Concave Approaches for Nuclear Norm Regularization." In Twenty-Sixth International Joint Conference on Artificial Intelligence. International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/436.

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Minimizing a convex function of matrices regularized by the nuclear norm arises in many applications such as collaborative filtering and multi-task learning. In this paper, we study the general setting where the convex function could be non-smooth. When the size of the data matrix, denoted by m x n, is very large, existing optimization methods are inefficient because in each iteration, they need to perform a singular value decomposition (SVD) which takes O(m^2 n) time. To reduce the computation cost, we exploit the dual characterization of the nuclear norm to introduce a convex-concave optimiz

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Caruntu, Dumitru I. "On Non-Axisymmetrical Transverse Vibrations of Circular Plates of Convex Parabolic Thickness Variation." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-62020.

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This paper presents an approach for finding the solution of the partial differential equation of motion of the non-axisymmetrical transverse vibrations of axisymmetrical circular plates of convex parabolical thickness. This approach employed both the method of multiple scales and the factorization method for solving the governing partial differential equation. The solution has been assumed to be harmonic angular-dependent. Using the method of multiple scales, the partial differential equation has been reduced to two simpler partial differential equations which can be analytically solved and wh

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