Results for 'order parameters '

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  1. Arbitrary order differential equations with fuzzy parameters.T. Allahviranloo & S. Salahshour - 2020 - In Snehashish Chakraverty (ed.), Mathematical methods in interdisciplinary sciences. Hoboken, NJ: Wiley.
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  2.  9
    Corresponding states of nematic birefringence: an order parameter universality.M. Simões, D. S. Simeão, A. de Campos & A. J. Palangana - 2007 - Philosophical Magazine 87 (33):5237-5247.
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  3.  14
    On the determination of a local order parameter in a nickel-titanium alloy.R. Sinclair, B. Ralph & J. A. Leake - 1973 - Philosophical Magazine 28 (5):1111-1123.
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  4. Climate Parameters, Heat Islands, and the Role of Vegetation in the City.Klodjan Xhexhi - 2023 - In Ecovillages and Ecocities. Bioclimatic Applications from Tirana, Albania. Switzerland: Springer Nature Switzerland AG. pp. 149-170.
    Climate has a strong influence on urban planning and also plays a fundamental role in soil composition affecting the character of plants and animals. The climate is a combination of different meteorological factors that characterized a specific region over a specific time. The movement of the Sun and Earth inclination toward it is the most important factors which determine the characteristics of the climate. The global movement of the air from equator toward poles and vice versa influences also drastically the (...)
     
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  5.  11
    Parameters and Linguistic Variation.Michelle Sheehan - 2021 - In Nicholas Allott, Terje Lohndal & Georges Rey (eds.), A Companion to Chomsky. Wiley. pp. 172–189.
    This chapter examines Chomsky's influence on the modeling of linguistic variation, focusing specifically on the notion of parameter. It begins by examining the different conceptualizations of “parameter” in Chomsky's work, from the Government and Binding era, through early Minimalism to more recent approaches which locate variation in phonological form. The idea that grammatical variation should be modeled by abstract parameters is arguably one of Chomsky's most important contributions to linguistic theory, and one which has had significant influence. Two domains (...)
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  6.  14
    Existential equivalence of ordered abelian groups with parameters.V. Weispfenning - 1990 - Archive for Mathematical Logic 29 (4):237-248.
    In [GK], Gurevich and Kokorin proved that any two non-trivial ordered abelian groups (o-groups, for short) satisfy the same existential sentences. Let nowG, H be non-trivialo-groups with a commono-subgroupG 0. We determine whetherG andH are existentially equivalent overG 0. As a corollary, we obtain algebraic criteria for deciding, whether ano-subgroupG is existentially closed in ano-groupH. Corresponding results are proved foro-groups in which congruences are regarded as atomic relations.
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  7.  8
    Kinetics of ordering in Ni1.50Sn as revealed by the variation of the lattice parameters upon annealing.A. Leineweber, E. J. Mittemeijer, M. Knapp & C. Baehtz - 2007 - Philosophical Magazine 87 (12):1821-1844.
  8.  9
    The overlap parameter across an inverse first-order phase transition in a 3D spin-glass.M. Paoluzzi, L. Leuzzi & A. Crisanti - 2011 - Philosophical Magazine 91 (13-15):1966-1976.
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  9.  5
    Least third-order cumulant method with adaptive regularization parameter selection for neural networks.Chi-Tat Leung & Tommy W. S. Chow - 2001 - Artificial Intelligence 127 (2):169-197.
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    Control parameters, equilibria, and coordination dynamics.Dagmar Sternad & M. T. Turvey - 1995 - Behavioral and Brain Sciences 18 (4):780-780.
    Important similarities exist between the dynamical concepts implicit in Feldman & Levin's extended λ model and those basic to a dynamical systems approach. We argue that careful application of the key concepts of control and order parameters, equilibria, and stability, can relate known facts of neuromuscular processes to the observables of functional, task-specific behavior.
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  11.  20
    Adaptive Fuzzy Synchronization of Fractional-Order Chaotic Systems with Input Saturation and Unknown Parameters.Heng Liu, Ye Chen, Guanjun Li, Wei Xiang & Guangkui Xu - 2017 - Complexity:1-16.
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  12.  11
    Load Parameter Identification for Parallel Robot Manipulator Based on Extended Kalman Filter.Shijie Song, Xiaolin Dai, Zhangchao Huang & Dawei Gong - 2020 - Complexity 2020:1-12.
    Load is the main external disturbance of a parallel robot manipulator. This disturbance will cause dynamic coupling among different degrees of freedom and make heaps of model-based control methods difficult to apply. In order to compensate this disturbance, it is crucial to obtain an accurate dynamic model of load. However, in practice, the load is always uncertain and its dynamic parameters are arduous to know a priori. To cope with this problem, this paper proposes a novel and simple (...)
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  13.  18
    Parameter-free polymorphic types.Klaus Aehlig - 2008 - Annals of Pure and Applied Logic 156 (1):3-12.
    Consider the following restriction of the polymorphically typed lambda calculus . All quantifications are parameter free. In other words, in every universal type α.τ, the quantified variable α is the only free variable in the scope τ of the quantification. This fragment can be locally proven terminating in a system of intuitionistic second-order arithmetic known to have strength of finitely iterated inductive definitions.
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  14.  7
    Parameter Optimization on the Three-Parameter Whitenization Grey Model and Its Application in Simulation and Prediction of Gross Enrollment Rate of Higher Education in China.Jihong Sun, Hui Li, Bo Zeng, Xiaoyun Zhao & Chuanhui Wang - 2020 - Complexity 2020:1-10.
    The gray prediction model, based on the GM method, is an important branch of gray theory with the most active research and the most fruitful results, and it is the most widely used because of its small sample size, simple modeling process, and easy to use. Such advantages have been successfully applied in many fields such as transportation, agriculture, energy, medicine, and environment and have been gradually developed into a mainstream predictive modeling method. This study combines the Three-parameter Whitenization Grey (...)
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  15.  33
    A note on parameter free Π1 -induction and restricted exponentiation.A. Cordón-Franco, A. Fernández-Margarit & F. F. Lara-Martín - 2011 - Mathematical Logic Quarterly 57 (5):444-455.
    We characterize the sets of all Π2 and all equation image theorems of IΠ−1 in terms of restricted exponentiation, and use these characterizations to prove that both sets are not deductively equivalent. We also discuss how these results generalize to n > 0. As an application, we prove that a conservation theorem of Beklemishev stating that IΠ−n + 1 is conservative over IΣ−n with respect to equation image sentences cannot be extended to Πn + 2 sentences. © 2011 WILEY-VCH Verlag (...)
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  16.  87
    An ordinal analysis of parameter free Π12-comprehension.Michael Rathjen - 2005 - Archive for Mathematical Logic 44 (3):263-362.
    Abstract.This paper is the second in a series of three culminating in an ordinal analysis of Π12-comprehension. Its objective is to present an ordinal analysis for the subsystem of second order arithmetic with Δ12-comprehension, bar induction and Π12-comprehension for formulae without set parameters. Couched in terms of Kripke-Platek set theory, KP, the latter system corresponds to KPi augmented by the assertion that there exists a stable ordinal, where KPi is KP with an additional axiom stating that every set (...)
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  17. The formative parameters of civilizations : a theoretical and historical framework.Ahmet Davutoğlu - 2014 - In Fred Reinhard Dallmayr, M. Akif Kayapınar & İsmail Yaylacı (eds.), Civilizations and world order: geopolitics and cultural difference. Lanham, Maryland: Lexington Books.
     
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  18. Parameters affecting the position of certain English adjuncts.Malcolm Hicks - 1976 - In Nils Erik Enkvist & Viljo Kohonen (eds.), Reports on text linguistics: approaches to word order. Åbo: [Åbo Akademi]. pp. 107--24.
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  19.  43
    The role of parameters in bar rule and bar induction.Michael Rathjen - 1991 - Journal of Symbolic Logic 56 (2):715-730.
    For several subsystems of second order arithmetic T we show that the proof-theoretic strength of T + (bar rule) can be characterized in terms of T + (bar induction) □ , where the latter scheme arises from the scheme of bar induction by restricting it to well-orderings with no parameters. In addition, we demonstrate that ACA + 0 , ACA 0 + (bar rule) and ACA 0 + (bar induction) □ prove the same Π 1 1 -sentences.
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  20. A Quantum Question Order Model Supported by Empirical Tests of an A Priori and Precise Prediction.Zheng Wang & Jerome R. Busemeyer - 2013 - Topics in Cognitive Science 5 (4):689-710.
    Question order effects are commonly observed in self-report measures of judgment and attitude. This article develops a quantum question order model (the QQ model) to account for four types of question order effects observed in literature. First, the postulates of the QQ model are presented. Second, an a priori, parameter-free, and precise prediction, called the QQ equality, is derived from these mathematical principles, and six empirical data sets are used to test the prediction. Third, a new index (...)
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  21.  18
    Second order theories with ordinals and elementary comprehension.Gerhard Jäger & Thomas Strahm - 1995 - Archive for Mathematical Logic 34 (6):345-375.
    We study elementary second order extensions of the theoryID 1 of non-iterated inductive definitions and the theoryPA Ω of Peano arithmetic with ordinals. We determine the exact proof-theoretic strength of those extensions and their natural subsystems, and we relate them to subsystems of analysis with arithmetic comprehension plusΠ 1 1 comprehension and bar induction without set parameters.
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  22.  5
    A Q-Learning-Based Parameters Adaptive Algorithm for Formation Tracking Control of Multi-Mobile Robot Systems.Chen Zhang, Wen Qin, Ming-Can Fan, Ting Wang & Mou-Quan Shen - 2022 - Complexity 2022:1-19.
    This paper proposes an adaptive formation tracking control algorithm optimized by Q-learning scheme for multiple mobile robots. In order to handle the model uncertainties and external disturbances, a desired linear extended state observer is designed to develop an adaptive formation tracking control strategy. Then an adaptive method of sliding mode control parameters optimized by Q-learning scheme is employed, which can avoid the complex parameter tuning process. Furthermore, the stability of the closed-loop control system is rigorously proved by means (...)
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  23. Principles and parameters in physics and chemistry.Eric Scerri - 2004 - Philosophy of Science 71 (5):1082-1094.
    The paper examines critically some recently published views by Ramsey on the contrast between ab initio and parametrized theories. I argue that, all things being equal, ab initio calculations are indeed regarded more highly in the physics and chemistry communities. A case study on density functional approaches in theoretical chemistry is presented in order to re‐examine the question of ab initio and parametrized approaches in a contemporary context.
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  24.  21
    Compositionality up to Parameters.Alberto Peruzzi - 2005 - ProtoSociology 21:41-66.
    The principle of compositionality (PC) claims that the meaning of a compound expression is determined by the meanings of its constituent expressions and the way they compose. Is it true or false? Does it apply to both natural and formalised languages? In order to answer, we must examine various formal versions of PC, the notion of meaning and the patterns of composition. Moreover, further principles are called for to determine its import and, in particular, its relationships with the Context (...)
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  25.  11
    Lattice-ordered reduced special groups.M. Dickmann, M. Marshall & F. Miraglia - 2005 - Annals of Pure and Applied Logic 132 (1):27-49.
    Special groups [M. Dickmann, F. Miraglia, Special Groups : Boolean-Theoretic Methods in the Theory of Quadratic Forms, Memoirs Amer. Math. Soc., vol. 689, Amer. Math. Soc., Providence, RI, 2000] are a first-order axiomatization of the theory of quadratic forms. In Section 2 we investigate reduced special groups which are a lattice under their natural representation partial order ; we show that this lattice property is preserved under most of the standard constructions on RSGs; in particular finite RSGs and (...)
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  26. And the Visibility Parameter for D-Adverbs.Arnim von Stechow - unknown
    The proponents of strong lexicalism hold the view that “words” are formed in the lexicon and are opaque for the syntax ((Dowty 1979), (DiSciullo and Williams 1987), (Jackendoff 1990) and many others). Modular morphology, on the other hand, offers the possibility that at least some words are partially formed in the syntax ((Baker 1988), (Borer 1988), (Hale and Keyser 1994), (Chomsky 1995) and many others). In (Stechow 1995) and (Stechow 1996) it has been argued that facts observed with German wieder (...)
     
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  27.  53
    Reflection Principles and Second-Order Choice Principles with Urelements.Bokai Yao - 2022 - Annals of Pure and Applied Logic 173 (4):103073.
    We study reflection principles in Kelley-Morse set theory with urelements (KMU). We first show that First-Order Reflection Principle is not provable in KMU with Global Choice. We then show that KMU + Limitation of Size + Second-Order Reflection Principle is mutually interpretable with KM + Second-Order Reflection Principle. Furthermore, these two theories are also shown to be bi-interpretable with parameters. Finally, assuming the existence of a κ+-supercompact cardinal κ in KMU, we construct a model of KMU (...)
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  28.  7
    Research on Stratum Identification Method Based on TBM Tunneling Characteristic Parameters.Wei Wu, Jingbo Guo, Jie Li, Ji Sun, Haoran Qi & Ximing Chen - 2022 - Complexity 2022:1-12.
    In order to obtain continuous stratum information during TBM tunneling, using TBM tunneling parameters, stratum recognition is carried out through the K-nearest neighbor model, and the model is improved by the entropy weight method to improve the stratum recognition rate. By analyzing the correlation between TBM tunneling characteristic parameters and stratum, the tunneling characteristic parameter vector which is most sensitive to the stratum is obtained by sensitivity analysis, and the stratum recognition model based on the K-nearest neighbor (...)
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  29. First-order multi-modal deduction.Matthew Stone - unknown
    We study prefixed tableaux for first-order multi-modal logic, providing proofs for soundness and completeness theorems, a Herbrand theorem on deductions describing the use of Herbrand or Skolem terms in place of parameters in proofs, and a lifting theorem describing the use of variables and constraints to describe instantiation. The general development applies uniformly across a range of regimes for defining modal operators and relating them to one another; we also consider certain simplifications that are possible with restricted modal (...)
     
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  30.  3
    Fractional-Order Modeling and Analysis of a Variable Structure Hybrid Energy Storage System for EVs.Jianlin Wang, Dan Xu, Jiahui Zhou & Jinlu Mao - 2020 - Complexity 2020:1-10.
    Hybrid energy storage system has been widely studied as an important technology for electric vehicles. Since the hybrid energy storage system is a nonlinear and complex system, the modeling of the system and the high-precision nonlinear control strategy are technical difficulties for research. The establishment of a high-precision mathematical model of the hybrid energy storage system is the basis for the study of high-quality nonlinear control algorithms. Fortunately, the theory of fractional calculus can help build accurate mathematical models of hybrid (...)
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  31.  29
    First-order belief revision.Samir Chopra & Eric Martin - unknown
    We present a model for first-order belief revision that is characterized by an underlying relevance-like relation and a background proof system. The model is extremely general in order to allow for a wide variety in these characterizing parameters. It allows some weakenings of beliefs which were initially implicit to become explicit and survive the revision process. The effects of revision are localized to the part of the theory that is influenced by the the new information. Iterated revision (...)
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  32.  47
    A Class of Elementary Particle Models Without Any Adjustable Real Parameters.Gerard ’T. Hooft - 2011 - Foundations of Physics 41 (12):1829-1856.
    Conventional particle theories such as the Standard Model have a number of freely adjustable coupling constants and mass parameters, depending on the symmetry algebra of the local gauge group and the representations chosen for the spinor and scalar fields. There seems to be no physical principle to determine these parameters as long as they stay within certain domains dictated by the renormalization group. Here however, reasons are given to demand that, when gravity is coupled to the system, local (...)
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  33.  29
    Higher-Order Kinetic Term for Controlling Photon Mass in Off-Shell Electrodynamics.Martin Land - 2003 - Foundations of Physics 33 (8):1157-1175.
    In relativistic classical and quantum mechanics with Poincaré-invariant parameter, particle worldlines are traced out by the evolution of spacetime events. The formulation of a covariant canonical framework for the evolving events leads to a dynamical theory in which mass conservation is demoted from a priori constraint to the status of conserved Noether current for a certain class of interactions. In pre-Maxwell electrodynamics—the local gauge theory associated with this framework —events induce five local off-shell fields, which mediate interactions between instantaneous events, (...)
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  34.  26
    On the role of enzyme kinetic parameters in determining the effectiveness with which channelling can decrease the size of a metabolite pool.Pedro Mendes & Douglas B. Kell - 1993 - Acta Biotheoretica 41 (1-2):63-73.
    Recently, it has been argued that the phenomenon of direct transfer of intermediate metabolites between adjacent enzymes, also known as metabolic channelling, would not decrease the concentration of those intermediates in the bulk solution. However, this conclusion has been drawn by extrapolation from the results of simulations with a rather restricted set of parameters. We show that, for a number of kinetic cases, the existence of metabolic channelling can decrease the size of the soluble pool of intermediates. When the (...)
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  35.  36
    Extending Partial Orders on o‐Minimal Structures to Definable Total Orders.Dugald Macpherson & Charles Steinhorn - 1997 - Mathematical Logic Quarterly 43 (4):456-464.
    It is shown that if is an o-minimal structure such that is a dense total order and ≾ is a parameter-definable partial order on M, then ≾ has an extension to a definable total order.
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  36.  9
    On P Versus NP for Parameter‐Free Programs Over Algebraic Structures.Armin Hemmerling - 2001 - Mathematical Logic Quarterly 47 (1):67-92.
    Based on the computation mode introduced in [13], we deal with the time complexity of computations over arbitrary first-order structures.The main emphasis is on parameter-free computations. Some transfer results for solutions of P versus NP problems as well as relationships to quantifier elimination are discussed. By computation tree analysis using first-order formulas, it follows that P versus NP solutions and other results of structural complexity theory are invariant under elementary equivalence of structures.
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  37. 'Ought': OUT OF ORDER.Stephen Finlay - 2016 - In Nate Charlow & Matthew Chrisman (eds.), Deontic Modality. Oxford University Press.
    This paper argues that the innovation of an ordering source parameter in the standard Lewis-Kratzer semantics for modals was a mistake, at least for English auxiliaries like ‘ought’, and that a simpler dyadic semantics (as proposed in my earlier work) provides a superior account of normative uses of modals. I programmatically investigate problems arising from (i) instrumental conditionals, (ii) gradability and “weak necessity”, (iii) information-sensitivity, and (iv) conflicts, and show how the simpler semantics provides intuitive solutions given three basic moves: (...)
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  38.  2
    Investigation and robust synthesis of polynomials under perturbations based on the root locus parameter distribution diagram.Nesenchuk A. A. - 2019 - Artificial Intelligence Scientific Journal 24 (1-2):25-33.
    Investigation of the 4 th order dynamic systems characteristic polynomials behavior in conditions of the interval parametric uncertainties is carried out on the basis of root locus portraits. The roots behavior regularities and corresponding diagrams for the root locus parameter distribution along the asymptotic stability bound are specified for the root locus portraits of the systems. On this basis the stability conditions are derived, graphic-analytical method is worked out for calculating intervals of variation for the polynomial family parameters (...)
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  39.  21
    Minimality conditions on circularly ordered structures.Beibut Sh Kulpeshov & H. Dugald Macpherson - 2005 - Mathematical Logic Quarterly 51 (4):377-399.
    We explore analogues of o-minimality and weak o-minimality for circularly ordered sets. Much of the theory goes through almost unchanged, since over a parameter the circular order yields a definable linear order. Working over ∅ there are differences. Our main result is a structure theory for ℵ0-categorical weakly circularly minimal structures. There is a 5-homogeneous example which is not 6-homogeneous, but any example which is k-homogeneous for some k ≥ 6 is k-homogeneous for all k.
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  40.  15
    Statistical Methods in the Evaluation of Cardio-Respiratory Parameters in Young Childhood Cancer Survivors and Healthy Peers.Magdalena Topczewska, Małgorzata Sawicka-Żukowska, Joanna Zapolska, Lucyna Ostrowska & Maryna Krawczuk-Rybak - 2018 - Studies in Logic, Grammar and Rhetoric 56 (1):29-44.
    This study concerns the problem of late complications of antineo-plastic therapy. Reduced parameters of the cardiorespiratory system in childhood may have a tremendous impact on health. In order to assess the selected parameters, to evaluate physical endurance, and compare the results with those obtained for healthy children, a test was carried out on a treadmill, until 80% of maximum pulse rate was reached. To compare the differences between the treatment group and the control group, three approaches were (...)
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  41.  2
    New Stabilization Properties of Pendulum Models Applying a Large Parameter.A. I. Ismail & Hamza A. Ghulman - 2022 - Complexity 2022:1-12.
    In the present paper, we introduce new models of pendulum motions for two cases: the first model consists of a pendulum with mass M moving at the end of a string with a suspended point moving on an ellipse and the second one consists of a pendulum with mass M moving at the end of a spring with a suspended point on an ellipse. In both models, we use the Lagrangian functions for deriving the equations of motions. The derived equations (...)
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  42.  26
    Robust Fractional-Order PID Controller Tuning Based on Bode’s Optimal Loop Shaping.Lu Liu & Shuo Zhang - 2018 - Complexity 2018:1-14.
    This paper presents a novel fractional-order PID controller tuning strategy based on Bode’s optimal loop shaping which is commonly used for LTI feedback systems. Firstly, the controller parameters are achieved based on flat phase property and Bode’s optimal reference model, so that the controlled system is robust to gain variations and can achieve desirable transient performance according to various control requirements. Then, robustness analysis of the controlled system is carried out to support the results. Furthermore, the parameter setting (...)
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  43.  89
    Consensus of Delayed Fractional-Order Multiagent Systems Based on State-Derivative Feedback.Jun Liu, Kaiyu Qin, Wei Chen & Ping Li - 2018 - Complexity 2018:1-12.
    Consensus of fractional-order multiagent systems with single integral has been wildly studied. However, the dynamics with multiple integral also exist in FOMASs, and they are rarely studied at present. In this paper, consensus problems for multi-integral fractional-order multiagent systems with nonuniform time-delays are addressed. The consensus conditions for MIFOMASs are obtained by a novel frequency-domain method which properly eliminates consensus problems of the systems associated with nonuniform time-delays. Besides, the method revealed in this paper is applicable to classical (...)
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  44.  8
    Genetic/genomic testing: defining the parameters for ethical, legal and social implications (ELSI).Eugenio Frixione, Fernando Navarro-Garcia, Garbiñe Saruwatari-Zavala & Tania Ascencio-Carbajal - 2021 - BMC Medical Ethics 22 (1):1-15.
    BackgroundGenetic/genomic testing (GGT) are useful tools for improving health and preventing diseases. Still, since GGT deals with sensitive personal information that could significantly impact a patient’s life or that of their family, it becomes imperative to consider Ethical, Legal and Social Implications (ELSI). Thus, ELSI studies aim to identify and address concerns raised by genomic research that could affect individuals, their family, and society. However, there are quantitative and qualitative discrepancies in the literature to describe the elements that provide content (...)
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  45. Multivariate Higher-Order IRT Model and MCMC Algorithm for Linking Individual Participant Data From Multiple Studies.Eun-Young Mun, Yan Huo, Helene R. White, Sumihiro Suzuki & Jimmy de la Torre - 2019 - Frontiers in Psychology 10.
    Many clinical and psychological constructs are conceptualized to have multivariate higher-order constructs that give rise to multidimensional lower-order traits. Although recent measurement models and computing algorithms can accommodate item response data with a higher-order structure, there are few measurement models and computing techniques that can be employed in the context of complex research synthesis, such as meta-analysis of individual participant data or integrative data analysis. The current study was aimed at modeling complex item responses that can arise (...)
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  46.  75
    Modified Whale Optimization Algorithm for Solar Cell and PV Module Parameter Identification.Xiaojia Ye, Wei Liu, Hong Li, Mingjing Wang, Chen Chi, Guoxi Liang, Huiling Chen & Hailong Huang - 2021 - Complexity 2021:1-23.
    The whale optimization algorithm is a powerful swarm intelligence method which has been widely used in various fields such as parameter identification of solar cells and PV modules. In order to better balance the exploration and exploitation of WOA, we propose a novel modified WOA in which both the mutation strategy based on Levy flight and a local search mechanism of pattern search are introduced. On the one hand, Levy flight can make the algorithm get rid of the local (...)
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  47.  4
    An Integral Boundary Value Problem of Fractional Differential Equations with a Sign-Changed Parameter in Banach Spaces.Chen Yang, Yaru Guo & Chengbo Zhai - 2021 - Complexity 2021:1-10.
    This paper is to investigate the existence and uniqueness of solutions for an integral boundary value problem of new fractional differential equations with a sign-changed parameter in Banach spaces. The main used approach is a recent fixed point theorem of increasing Ψ − h, r -concave operators defined on ordered sets. In addition, we can present a monotone iterative scheme to approximate the unique solution. In the end, two simple examples are given to illustrate our main results.
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  48.  12
    On a second order propositional operator in intuitionistic logic.A. A. Troelstra - 1981 - Studia Logica 40:113.
    This paper studies, by way of an example, the intuitionistic propositional connective * defined in the language of second order propositional logic by * ≡ ∃Q. In full topological models * is not generally definable but over Cantor-space and the reals it can be classically shown that *↔ ⅂⅂P; on the other hand, this is false constructively, i.e. a contradiction with Church's thesis is obtained. This is comparable with some well-known results on the completeness of intuitionistic first-order predicate (...)
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  49.  18
    Speed, Accuracy, and Serial Order in Sequence Production.Peter Q. Pfordresher, Caroline Palmer & Melissa K. Jungers - 2007 - Cognitive Science 31 (1):63-98.
    The production of complex sequences like music or speech requires the rapid and temporally precise production of events (e.g., notes and chords), often at fast rates. Memory retrieval in these circumstances may rely on the simultaneous activation of both the current event and the surrounding context (Lashley, 1951). We describe an extension to a model of incremental retrieval in sequence production (Palmer & Pfordresher, 2003) that incorporates this logic to predict overall error rates and speed—accuracy trade-offs, as well as types (...)
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    The complexity of first-order and monadic second-order logic revisited.Markus Frick & Martin Grohe - 2004 - Annals of Pure and Applied Logic 130 (1-3):3-31.
    The model-checking problem for a logic L on a class C of structures asks whether a given L-sentence holds in a given structure in C. In this paper, we give super-exponential lower bounds for fixed-parameter tractable model-checking problems for first-order and monadic second-order logic. We show that unless PTIME=NP, the model-checking problem for monadic second-order logic on finite words is not solvable in time f·p, for any elementary function f and any polynomial p. Here k denotes the (...)
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