Results for 'Multiplication of distributions'

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  1. Amer. Math. Soc. Tnnil.A. Simplification of A. Selberg'S. Elementary & of Distribution of Prime Numbers - 1979 - In A. F. Lavrik (ed.), Twelve Papers in Logic and Algebra. American Mathematical Society. pp. 75.
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  2. Equality, Efficiency, and Sufficiency: Responding to Multiple Parameters of Distributive Justice During Charitable Distribution.Colin J. Palmer, Bryan Paton, Linda Barclay & Jakob Hohwy - 2013 - Review of Philosophy and Psychology 4 (4):659-674.
    Distributive justice decision making tends to require a trade off between different valued outcomes. The present study tracked computer mouse cursor movements in a forced-choice paradigm to examine for tension between different parameters of distributive justice during the decision-making process. Participants chose between set meal distributions, to third parties, that maximised either equality (the evenness of the distribution) or efficiency (the total number of meals distributed). Across different formulations of these dilemmas, responding was consistent with the notion that individuals (...)
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  3. Section A. phylogeny 135.Phyletic Distribution of Neurohypophysial Peptides & Wilbur H. Sawyer - 1965 - In Karl W. Linsenmann (ed.), Proceedings. St. Louis, Lutheran Academy for Scholarship.
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  4. Distributing scaffolding across multiple levels : individuals, small groups, and a class of students.Sadhana Puntambekar - 2015 - In Andrew Walker, Heather Leary & Cindy E. Hmelo-Silver (eds.), Essential readings in problem-based learning. West Lafayette, Indiana: Purdue University Press.
     
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  5.  6
    Distributed Adaptive Coordinated Control of Multiple Euler–Lagrange Systems considering Output Constraints and Time Delays.Hongde Qin, Xiaojia Li & Yanchao Sun - 2021 - Complexity 2021:1-18.
    In this paper, we mainly investigate the coordinated tracking control issues of multiple Euler–Lagrange systems considering constant communication delays and output constraints. Firstly, we devise a distributed observer to ensure that every agent can get the information of the virtual leader. In order to handle uncertain problems, the neural network technique is adopted to estimate the unknown dynamics. Then, we utilize an asymmetric barrier Lyapunov function in the control design to guarantee the output errors satisfy the time-varying output constraints. Two (...)
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  6.  60
    Association with distributivity and the problem of multiple antecedents for singular different.Dylan Bumford & Chris Barker - 2013 - Linguistics and Philosophy 36 (5):355-369.
    Brasoveanu (Linguist Philos 34:93–168, 2011) argues that “different” exhibits what he calls association with distributivity: a distributive operator such as “each” creates a two-part context that propagates through the compositional semantics in a way that can be accessed by a subordinate “different”. We show that Brasoveanu’s analysis systematically undergenerates, failing to provide interpretations of sentences such as “Every1 boy claimed every girl read a different1 poem”, in which “different” can associate with a non-local distributive operator. We provide a generalized version (...)
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  7.  27
    Distributing attention across multiple social worlds.Renate Fruchter & Marisa Ponti - 2010 - AI and Society 25 (2):169-181.
    Being a member of both local and global teams requires constant distribution and re-distribution of attention, engagement, and intensive communication over synchronous and asynchronous channels with remote and local partners. We explore in this paper the increasing number of social worlds such participants distribute their attention to, how this affects their level of engagement and attention, and how the workspace, collaboration technologies, and interaction modes afford and constrain the communicative events. The use of information and collaboration technologies (ICT) shapes and (...)
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  8.  18
    Multiple Unofficial Economy Equilibria and Income Distribution Dynamics in Systemic Transition.J. Barkley Rosser - unknown
    Large increases unofficial economies in many transition economies arise from a dynamic interaction with rising income inequality and public sector changes in multiple equilibria system. Returns to unofficial activity are first increasing and then decreasing, implying two distinct stable equilibria, with changes in inequality possibly causing a jump from one to the other. Multiple regressions of data from 18 transition economies find income inequality significantly correlated with the size of the unofficial economy, with the maximum annual rate of inflation also (...)
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  9. Multiple incarnations and distributed persons.Robin Le Poidevin - 2011 - In Anna Marmodoro & Jonathan Hill (eds.), The Metaphysics of the Incarnation. Oxford University Press.
     
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  10.  3
    Establishment and Analysis of Spatiotemporal Variation Hydrological Model of Distributed Rainfall and Evaporation in Biliu River Basin.Qi Liu, Xiaolong Zhao, Hongyan Wang & Yongfeng Sun - 2021 - Complexity 2021:1-10.
    The Biliu River originates from the southern foot of Qinling Mountain in Gaizhou city, with an elevation of 1047 m, and is the largest river in Dalian. The hydrological elements mainly include rainfall, runoff, temperature, evaporation, and other time series associated with the hydrological cycle. Among them, runoff is the most visible output performance, and the direct source of runoff is during rainfall. This paper establishes a reservoir scheduling model that considers the influence of multiple uncertainty factors and analyzes the (...)
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  11.  18
    The spectral distribution of multiple Compton scattering for X-rays.Brian G. Williams, Philip Pattison & Malcolm J. Cooper - 1974 - Philosophical Magazine 30 (2):307-317.
  12. Racism and the limits of.Distributive Justice - 2001 - Public Affairs Quarterly 15 (3):271.
     
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  13.  4
    The biological purpose of sleep may make multiple distributed reciprocal systems meaningful.Herbert H. Jasper - 1986 - Behavioral and Brain Sciences 9 (3):409-409.
  14.  15
    Optimal Utilization of Ports’ Free-of-Charge Times in One Distribution Center and Multiple Ports Inventory Systems.Zhengyi Li - 2019 - Complexity 2019:1-12.
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  15. Connectionist representations for natural language: Old and new Noel E. sharkey department of computer science university of exeter.Localist V. Distributed - 1990 - In G. Dorffner (ed.), Konnektionismus in Artificial Intelligence Und Kognitionsforschung. Berlin: Springer-Verlag. pp. 252--1.
  16. Monica Mookherjee.Strange Multiplicity - 2001 - Critical Review of International Social and Political Philosophy 4 (3):67.
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  17.  6
    Distributed Leadership Agency and Work Outcomes: Validation of the Italian DLA and Its Relations With Commitment, Trust, and Satisfaction.Massimiliano Barattucci, Alessandro Lo Presti, Giambattista Bufalino, Thomas Jønsson, Manuel Teresi & Stefano Pagliaro - 2020 - Frontiers in Psychology 11.
    Forms of collective leadership, such as Distributed Leadership, have become increasingly important. The need for measurement of the variables involved in the delegation processes, represents a new challenge for organizations that want to ensure high-level working. The present research aimed to validate the Italian version of the Distributed Leadership Agency (DLA) and verify its applicability in different contexts. The study involved all the employees of an Italian public Hospital, which were selected to complete a survey on organizational perceptions. The sample (...)
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  18.  20
    A Logic for Multiple-source Approximation Systems with Distributed Knowledge Base.Md Aquil Khan & Mohua Banerjee - 2011 - Journal of Philosophical Logic 40 (5):663-692.
    The theory of rough sets starts with the notion of an approximation space , which is a pair ( U , R ), U being the domain of discourse, and R an equivalence relation on U . R is taken to represent the knowledge base of an agent, and the induced partition reflects a granularity of U that is the result of a lack of complete information about the objects in U . The focus then is on approximations of concepts (...)
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  19. Distributed cognition: A perspective from social choice theory.Christian List - 2003 - In M. Albert, D. Schmidtchen & S Voigt (eds.), Scientific Competition: Theory and Policy, Conferences on New Political Economy. Mohr Siebeck.
    Distributed cognition refers to processes which are (i) cognitive and (ii) distributed across multiple agents or devices rather than performed by a single agent. Distributed cognition has attracted interest in several fields ranging from sociology and law to computer science and the philosophy of science. In this paper, I discuss distributed cognition from a social-choice-theoretic perspective. Drawing on models of judgment aggregation, I address two questions. First, how can we model a group of individuals as a distributed cognitive system? Second, (...)
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  20.  25
    Conditional response distributions in a multiple-choice probability-learning situtation.James R. Erickson & Karen K. Block - 1970 - Journal of Experimental Psychology 86 (2):328.
  21.  75
    The multiple, interacting levels of cognitive systems perspective on group cognition.Robert L. Goldstone & Georg Theiner - 2017 - Philosophical Psychology 30 (3):334-368.
    In approaching the question of whether groups of people can have cognitive capacities that are fundamentally different than the cognitive capacities of the individuals within the group, we lay out a Multiple, Interactive Levels of Cognitive Systems (MILCS) framework. The goal of MILCS is to explain the kinds of cognitive processes typically studied by cognitive scientists, such as perception, attention, memory, categorization, decision making, problem solving, and judgment. Rather than focusing on high-level constructs such as modules in an information processing (...)
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  22.  12
    Implementation of the Spark technique in a matrix distributed computing algorithm.Korhan Cengiz & Ying Wang - 2022 - Journal of Intelligent Systems 31 (1):660-671.
    Two analyzes of Spark engine performance strategies to implement the Spark technique in a matrix distributed computational algorithm, the multiplication of a sparse multiplication operational test model. The dimensions of the two input sparse matrices have been fixed to 30,000 × 30,000, and the density of the input matrix have been changed. The experimental results show that when the density reaches about 0.3, the original dense matrix multiplication performance can outperform the sparse-sparse matrix multiplication, which is (...)
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  23.  61
    Distributive-lattice semantics of sequent calculi with structural rules.Alexej P. Pynko - 2009 - Logica Universalis 3 (1):59-94.
    The goal of the paper is to develop a universal semantic approach to derivable rules of propositional multiple-conclusion sequent calculi with structural rules, which explicitly involve not only atomic formulas, treated as metavariables for formulas, but also formula set variables, upon the basis of the conception of model introduced in :27–37, 2001). One of the main results of the paper is that any regular sequent calculus with structural rules has such class of sequent models that a rule is derivable in (...)
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  24.  20
    Geographical distribution and the origin of life: The development of early nineteenth-century British explanations.Michael Paul Kinch - 1980 - Journal of the History of Biology 13 (1):91-119.
    By the 1840s and 1850s biogeographical theory had polarized into two opposing views — both of which had their origins in the sixteenth or seventeenth centuries. At issue in this polarization was the question of God's involvement with His creation. At one end of the spectrum were Sclater, Agassiz, Kirby, and others who saw a neatly designed world in which geographical distributions were planned and executed by the hand of God at creation. For most of these naturalists, organisms were (...)
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  25.  12
    Eclipsed distribution: A phenomenon of dual targeting of protein and its significance.Neta Regev-Rudzki & Ophry Pines - 2007 - Bioessays 29 (8):772-782.
    One of the surprises from genome sequencing projects is the apparently small number of predicted genes in different eukaryotic cells, particularly human. One possible reason for this ‘shortage’ of genes is multiple distribution of proteins; a single protein is targeted to more than one subcellular compartment and consequently participates in different biochemical pathways and might have completely different functions. Indeed, in recent years, there have been reports on proteins that were found to be localized in cellular compartments other than those (...)
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    A Novel Control Strategy on Multiple-Mode Application of Electric Vehicle in Distributed Photovoltaic Systems.Qianwen Zhong, Yize Sun & Lele Peng - 2018 - Complexity 2018:1-11.
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  27.  11
    Meditations of Guigo, prior of the Charterhouse.I. Prior Of the Grande Chartreu Guigo - 1951 - Milwaukee, Wis.: Marquette University Press. Edited by John J. Jolin.
    This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and (...)
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  28.  18
    Distributed neural substrates and the evolution of speech production.Asif A. Ghazanfar & Donald B. Katz - 1998 - Behavioral and Brain Sciences 21 (4):516-517.
    There is evidence of reciprocal connectivity, similarity of oscillatory responses to stimulation of multiple motor and somatosensory cortices, whole system oscillation, and short- latency responses to behavioral perturbation. These suggest that frame/content may be instantiated by overlapping neural populations, and that the genesis of frame oscillations may be profitably thought of as an emergent property of a distributed neural system.
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  29.  96
    Composition in Distributional Models of Semantics.Jeff Mitchell & Mirella Lapata - 2010 - Cognitive Science 34 (8):1388-1429.
    Vector-based models of word meaning have become increasingly popular in cognitive science. The appeal of these models lies in their ability to represent meaning simply by using distributional information under the assumption that words occurring within similar contexts are semantically similar. Despite their widespread use, vector-based models are typically directed at representing words in isolation, and methods for constructing representations for phrases or sentences have received little attention in the literature. This is in marked contrast to experimental evidence (e.g., in (...)
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  30.  38
    Completeness of MLL Proof-Nets w.r.t. Weak Distributivity.Jean-Baptiste Joinet - 2007 - Journal of Symbolic Logic 72 (1):159 - 170.
    We examine 'weak-distributivity' as a rewriting rule $??$ defined on multiplicative proof-structures (so, in particular, on multiplicative proof-nets: MLL). This rewriting does not preserve the type of proof-nets, but does nevertheless preserve their correctness. The specific contribution of this paper, is to give a direct proof of completeness for $??$: starting from a set of simple generators (proof-nets which are a n-ary ⊗ of &-ized axioms), any mono-conclusion MLL proof-net can be reached by $??$ rewriting (up to ⊗ and & (...)
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    Multiple paternity and the number of offspring: A model reveals two major groups of species.Hannah E. Correia, Ash Abebe & F. Stephen Dobson - 2021 - Bioessays 43 (4):2000247.
    Parentage analyses via microsatellite markers have revealed multiple paternity within the broods of polytocous species of mammals, reptiles, amphibians, fishes and invertebrates. The widespread phenomenon of multiple paternity may have attending relationships with such evolutionary processes as sexual selection and kin selection. However, just how much multiple paternity should a species exhibit? We developed Bayesian null models of how multiple paternity relates to brood sizes. For each of 114 species with published data on brood sizes and numbers of sires, we (...)
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  32.  8
    Distributed Event-Triggered Output Synchronization of Complex-Valued Memristive Reaction-Diffusion Complex Networks with Spatial Sampled-Data.Tiane Chen & Zaihe Cheng - 2021 - Complexity 2021:1-19.
    This study addresses the problem of output quasisynchronization for coupled complex-valued memristive reaction-diffusion complex networks via the distributed event-triggered control scheme. First, by using the separate method, set value mapping, and intermediate value theorem, the complex-valued memristive reaction-diffusion complex networks can be transferred into two semi-uncertain real-valued reaction-diffusion complex networks. Second, a distributed output piecewise event-triggered control scheme with spatial sampled-data is first proposed including a spatial sampling event-triggered generator and spatiotemporal sampling state feedback controller. Furthermore, this scheme can effectively (...)
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    Optimization of e-commerce logistics service quality considering multiple consumption psychologies.Meng Ma, Lu Shen & XuanQing Sun - 2022 - Frontiers in Psychology 13.
    This work is developed to improve the current quality of e-commerce logistics services. From the perspective of multiple consumer psychology, based on e-commerce, consumer psychology, and other related theories, vegetable e-commerce B is selected as the research object. The commodity quality, accuracy, and timeliness of commodity distribution and other factors of e-commerce B are discussed through questionnaire survey. Then, according to customers’ opinions about “e-commerce B’s distribution and professional aspects that need to be improved,” the research is conducted. Finally, the (...)
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  34.  18
    Design of a New Distributed NoSQL Database with Distributed Hash Tables.Agustín San Román Guzmán, Diego Valdeolmillos, Alberto Rivas, Angélica González Arrieta & Pablo Chamoso - 2022 - Logic Journal of the IGPL 30 (4):566-577.
    Databases play a fundamental role in today’s world, being used by most companies, especially those that offer services through the Internet. Today there is a wide variety of database models, each adapted for use according to the specific requirements of each application. Traditionally, the relational models with centralized architectures have been used mostly due to their simplicity and general-purpose query language, which made relational systems suitable for almost any application. However, with the growth of the Internet in recent decades, both (...)
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  35.  38
    Effect of Bow Camber and Mass Distribution on Violinists' Preferences and Performance.Aurélie Tomezzoli, Benjamin Michaud, Eric Gagné, Mickaël Begon & Sonia Duprey - 2021 - Frontiers in Psychology 12.
    Little is known about how bow mechanical characteristics objectively and quantitatively influence violinists' preferences and performance. Hypothesizing that the bow shape and mass distribution modifications would alter both violinists' appreciations of a bow and objective assessments of their performance, we recruited 10 professional violinists to play their own violin using 18 versions of a single bow, modified by combining three cambers and six mass distributions, in random order. A musical phrase, composed for this study, was played legato and spiccato (...)
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  36.  5
    Analysis of the Spatial Distribution Pattern of the Urban Landscape in the Central Plains under the Influence of Multiscale and Multilevel Morphological Geomorphology.Hongxiang Li, Ting Zhao & Nan Ge - 2021 - Complexity 2021:1-10.
    This paper presents an in-depth analysis and research on the spatial distribution pattern of the urban landscape in the Central Plains digital landscape form and proposes an optimization scheme. Based on the basic theories of systematics and complexity, this paper analyzes the self-similar characteristics of urban morphology, establishes the concept of schema, and constructs a multiscale and multilevel morphological map research framework by drawing on the “planar pattern” morphological analysis method of the school and the “matrix, patch, and corridor” spatial (...)
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  37. Standards and the distribution of cognitive labour: A model of the dynamics of scientific activity.Langhe Rogieder & Greiff Matthias - 2010 - Logic Journal of the IGPL 18 (2):278-294.
    We present a model of the distribution of labour in science. Such models tend to rely on the mechanism of the invisible hand . Our analysis starts from the necessity of standards in distributed processes and the possibility of multiple standards in science. Invisible hand models turn out to have only limited scope because they are restricted to describing the atypical single-standard case. Our model is a generalisation of these models to J standards; single-standard models such as Kitcher are a (...)
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  38. Jacques Ferber.Reactive Distributed Artificial - 1996 - In N. Jennings & G. O'Hare (eds.), Foundations of Distributed Artificial Intelligence. Wiley. pp. 287.
     
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  39. Michael Wooldridge.Modeling Distributed Artificial - 1996 - In N. Jennings & G. O'Hare (eds.), Foundations of Distributed Artificial Intelligence. Wiley. pp. 269.
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  40.  5
    The Multiple Pathways Model of Visual System. A Review.Matteo Baccarini - 2013 - Humana Mente 6 (24).
    Although seeing is commonly experienced as a unitary activity, the scientific description of vision resists such an intuitive account. Both psychologists and neuroscientists are in agreement with the idea that the elaboration of visual information is distributed across several different routes provided with different functions. Importantly, these routes can be mapped onto well-identified anatomical subdivision of the visual system. Crucially, although originally based on the assumption that different visual information are elaborated via different neural channels, such a model is nowadays (...)
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  41.  19
    Immunolocalisation of nucleoside transporters in human placental trophoblast and endothelial cells: evidence for multiple transporter isoforms.L. F. Barros, D. L. Yudilevich, Simon M. Jarvis, N. Beaumont, J. D. Young & S. A. Baldwin - unknown
    Polyclonal antibodies raised against the human erythrocyte nucleoside transporter were used to investigate the distribution of the nucleoside transporters in the placenta. Immunoblots of brush-border membranes isolated from the human syncytiotrophoblast revealed a cross-reactive species that co-migrated with the erythrocyte nucleoside transporter as a broad band of apparent M 55,000. In contrast, no labelling was detected in basal membranes containing a similar number of equilibrative nucleoside transporters as assessed by nitrobenzylthioinosine -binding. The absence of cross-reactive epitopes in basal membranes and (...)
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  42.  5
    Risk Control of Virtual Enterprise Based on Distributed Decision-Making Model.Zhaoying Ouyang - 2021 - Complexity 2021:1-11.
    Virtual enterprise is a dynamic alliance of businesses, in which multiple members undertake joint research, development, manufacturing, operation, etc. The complexity of the relationship between business members, coupled with many new technologies or methods applied in the alliance operation, leads to more uncertain factors and difficulties in the operation and risk management of the virtual enterprise. The distributed decision-making model is a fast and effective decision-making model, in which dispersed intellectual resources and information resources are dynamically integrated through virtual organization (...)
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  43.  6
    A Similarity-Weighted Informative Prior Distribution for Bayesian Multiple Regression Models.Christoph König - 2021 - Frontiers in Psychology 12.
    Specifying accurate informative prior distributions is a question of carefully selecting studies that comprise the body of comparable background knowledge. Psychological research, however, consists of studies that are being conducted under different circumstances, with different samples and varying instruments. Thus, results of previous studies are heterogeneous, and not all available results can and should contribute equally to an informative prior distribution. This implies a necessary weighting of background information based on the similarity of the previous studies to the focal (...)
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  44.  66
    Direct and Multiplicative Effects of Ethical Dispositions and Ethical Climates on Personal Justice Norms: A Virtue Ethics Perspective.Victor P. Lau & Yin Yee Wong - 2009 - Journal of Business Ethics 90 (2):279-294.
    From virtue ethics and interactionist perspectives, we hypothesized that personal justice norms (distributive and procedural justice norms) were shaped directly and multiplicatively by ethical dispositions (equity sensitivity and need for structure) and ethical climates (egoistic, benevolent, and principle climates). We collected multisource data from 123 companies in Hong Kong, with personal factors assessed by participants’ self-reports and contextual factors by aggregations of their peers. In general, LISREL analyses with latent product variables supported the direct and multiplicative relationships. Our findings could (...)
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  45.  16
    Hierarchical Brain Systems Support Multiple Representations of Valence and Mixed Affect.Vincent Man, Hannah U. Nohlen, Hans Melo & William A. Cunningham - 2017 - Emotion Review 9 (2):124-132.
    We review the psychological literature on the organization of valence, discussing theoretical perspectives that favor a single dimension of valence, multiple valence dimensions, and positivity and negativity as dynamic and flexible properties of mental experience that are contingent upon context. Turning to the neuroscience literature that spans three levels of analysis, we discuss how positivity and negativity can be represented in the brain. We show that the evidence points toward both separable and overlapping brain systems that support affective processes depending (...)
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  46.  17
    The Semantics of Collectives and Distributives in Papago.Almerindo E. Ojeda - 1998 - Natural Language Semantics 6 (3):245-270.
    The purpose of this paper is to propose a satisfying model-theoretic account of the notions of singularity, collective plurality, and distributive plurality expressed by both the nouns and the verbs of Papago according to Mathiot (1983). The approach will be algebraic in the sense of Link (1983). Informally, our proposal is that while English has only one form of plurality, Papago has two: one based on identity and the other on equivalence. The identity-based plural is one that Papago shares with (...)
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  47.  30
    Exploring the link between distributed leadership and job satisfaction of school leaders.Hester Hulpia & Geert Devos - 2009 - Educational Studies 35 (2):153-171.
    The main purpose of this study was to map school leaders? perceptions concerning the cooperation of the leadership team, the distribution of leadership functions and participative decision?making, and to asses their relative weight in terms of predicting school leaders? job satisfaction. Also, the effect of demographical and structural school variables (i.e. seniority, job experience, school size, size of the leadership team, school type) on school leaders? job satisfaction was examined. A sample of 130 school leaders of 46 large secondary schools (...)
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  48.  28
    The feeling of fluent perception: A single experience from multiple asynchronous sources☆.Pascal Wurtz, Rolf Reber & Thomas D. Zimmermann - 2008 - Consciousness and Cognition 17 (1):171-184.
    Zeki and co-workers recently proposed that perception can best be described as locally distributed, asynchronous processes that each create a kind of microconsciousness, which condense into an experienced percept. The present article is aimed at extending this theory to metacognitive feelings. We present evidence that perceptual fluency—the subjective feeling of ease during perceptual processing—is based on speed of processing at different stages of the perceptual process. Specifically, detection of briefly presented stimuli was influenced by figure-ground contrast, but not by symmetry (...)
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  49.  67
    Commodious axiomatization of quantifiers in multiple-valued logic.Reiner Hähnle - 1998 - Studia Logica 61 (1):101-121.
    We provide tools for a concise axiomatization of a broad class of quantifiers in many-valued logic, so-called distribution quantifiers. Although sound and complete axiomatizations for such quantifiers exist, their size renders them virtually useless for practical purposes. We show that for quantifiers based on finite distributive lattices compact axiomatizations can be obtained schematically. This is achieved by providing a link between skolemized signed formulas and filters/ideals in Boolean set lattices. Then lattice theoretic tools such as Birkhoff's representation theorem for finite (...)
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  50. The Geometry of Non-Distributive Logics.Greg Restall & Francesco Paoli - 2005 - Journal of Symbolic Logic 70 (4):1108 - 1126.
    In this paper we introduce a new natural deduction system for the logic of lattices, and a number of extensions of lattice logic with different negation connectives. We provide the class of natural deduction proofs with both a standard inductive definition and a global graph-theoretical criterion for correctness, and we show how normalisation in this system corresponds to cut elimination in the sequent calculus for lattice logic. This natural deduction system is inspired both by Shoesmith and Smiley's multiple conclusion systems (...)
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