Results 21 to 30 of about 248,702 (267)
Frac-Vector: Better Category Representation
Fractal and Fractional, 2023 For this paper, we proposed the fractional category representation vector (FV) based on fractional calculus (FC), of which one-hot label is only the special case when the derivative order is 0. FV can be considered as a distributional representation when
Sunfu Tan, Yifei Pu
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Classical Copying versus Quantum Entanglement in Natural Language: The Case of VP-ellipsis [PDF]
Electronic Proceedings in Theoretical Computer Science, 2018 This paper compares classical copying and quantum entanglement in natural language by considering the case of verb phrase (VP) ellipsis. VP ellipsis is a non-linear linguistic phenomenon that requires the reuse of resources, making it the ideal test case
Gijs Wijnholds, Mehrnoosh Sadrzadeh
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Nonlinear Analysis, 2009 One considers the motion of nonlinear systems close to their equilibrium positions in the presence of coarse-graining in time on the one hand, and coarse-graining in time on the other hand.
G. Jumarie
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Fractal and Entropy Analysis of the Dow Jones Index Using Multidimensional Scaling
Entropy, 2020 Financial time series have a fractal nature that poses challenges for their dynamical characterization. The Dow Jones Industrial Average (DJIA) is one of the most influential financial indices, and due to its importance, it is adopted as a test bed for ...
José A. Tenreiro Machado
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The one variable implicational calculus.
Notre Dame Journal of Formal Logic, 1974 The axiomatization given by \textit{H. W. Johnson} and \textit{R. Price} [Theoria 30, 1--4 (1964)], is shown to be inadequate. A correct presentation of the one variable implicational calculus based on a single (rejected) axiom and four rules of inference is given. This is akin to the computable Protothetics of Leśniewski.
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-Dimensional Fractional Lagrange's Inversion Theorem
Abstract and Applied Analysis, 2013 Using Riemann-Liouville fractional differential operator, a fractional extension of the Lagrange inversion theorem and related formulas are developed. The required basic definitions, lemmas, and theorems in the fractional calculus are presented.
F. A. Abd El-Salam
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, 2016 Quantified Boolean formulas (QBFs) generalize propositional formulas by admitting quantifications over propositional variables. QBFs can be viewed as (restricted) formulas of first-order predicate logic and easy translations of QBFs into first-order ...
Egly, Uwe
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Multicentric calculus and the Riesz projection
Journal of Numerical Analysis and Approximation Theory, 2015 In multicentric holomorphic calculus one represents the function ? using a new polynomial variable \(w = p(z)\) in such a way that when evaluated at the operator \(p(A)\) is small in norm. Here it is assumed that \(p\) has distinct roots.
Diana Apetrei, Olavi Nevanlinna
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Completeness of the First-Order Logic of Partial Quasiary Predicates with the Complement Composition [PDF]
Computer Science Journal of Moldova, 2019 Partial quasiary predicates are used in programming for representing program semantics and in logic for formalizing predicates over partial variable assignments.
Mykola Nikitchenko +3 more
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Genetic Algorithm-Based Identification of Fractional-Order Systems
Entropy, 2013 Fractional calculus has become an increasingly popular tool for modeling the complex behaviors of physical systems from diverse domains. One of the key issues to apply fractional calculus to engineering problems is to achieve the parameter identification
Shengxi Zhou, Junyi Cao, Yangquan Chen
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