Results for 'Approximation structure'

995 found
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  1.  11
    The approximation structure of a computably approximable real.George Barmpalias - 2003 - Journal of Symbolic Logic 68 (3):885-922.
    A new approach for a uniform classification of the computably approximable real numbers is introduced. This is an important class of reals, consisting of the limits of computable sequences of rationals, and it coincides with the 0'-computable reals. Unlike some of the existing approaches, this applies uniformly to all reals in this class: to each computably approximable real x we assign a degree structure, the structure of all possible ways available to approximate x. So the main criterion for (...)
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  2.  7
    Approximate isomorphism of metric structures.James E. Hanson - forthcoming - Mathematical Logic Quarterly.
    We give a formalism for approximate isomorphism in continuous logic simultaneously generalizing those of two papers by Ben Yaacov [2] and by Ben Yaacov, Doucha, Nies, and Tsankov [6], which are largely incompatible. With this we explicitly exhibit Scott sentences for the perturbation systems of the former paper, such as the Banach‐Mazur distance and the Lipschitz distance between metric spaces. Our formalism is simultaneously characterized syntactically by a mild generalization of perturbation systems and semantically by certain elementary classes of two‐sorted (...)
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  3.  7
    An approximate Herbrand’s theorem and definable functions in metric structures.Isaac Goldbring - 2012 - Mathematical Logic Quarterly 58 (3):208-216.
    We develop a version of Herbrand's theorem for continuous logic and use it to prove that definable functions in infinite-dimensional Hilbert spaces are piecewise approximable by affine functions. We obtain similar results for definable functions in Hilbert spaces expanded by a group of generic unitary operators and Hilbert spaces expanded by a generic subspace. We also show how Herbrand's theorem can be used to characterize definable functions in absolutely ubiquitous structures from classical logic.
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  4.  6
    Approximate weighted model integration on DNF structures.Ralph Abboud, İsmail İlkan Ceylan & Radoslav Dimitrov - 2022 - Artificial Intelligence 311 (C):103753.
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  5. Structure and Approximation in Physical Theories.A. Hartkämper & H. J. Schmidt (eds.) - 1981 - New York City, New York, USA: [ Content courtesy of Springer Nature, terms of use apply ].
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  6.  5
    Geometrical approximations to the structure of musical pitch.Roger N. Shepard - 1982 - Psychological Review 89 (4):305-333.
  7.  11
    The Lattice Structures of Approximation Operators Based on L-Fuzzy Generalized Neighborhood Systems.Qiao-Ling Song, Hu Zhao, Juan-Juan Zhang, A. A. Ramadan, Hong-Ying Zhang & Gui-Xiu Chen - 2021 - Complexity 2021:1-10.
    Following the idea of L -fuzzy generalized neighborhood systems as introduced by Zhao et al., we will give the join-complete lattice structures of lower and upper approximation operators based on L -fuzzy generalized neighborhood systems. In particular, as special approximation operators based on L -fuzzy generalized neighborhood systems, we will give the complete lattice structures of lower and upper approximation operators based on L -fuzzy relations. Furthermore, if L satisfies the double negative law, then there exists an (...)
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  8.  10
    Truth approximation by concretization in capital structure theory. Kuipers, Theo A. F., Cools, Kees & Hamminga, Bert - 1994 - In Bert Hamminga & Neil De Marchi (eds.), Idealization Vi: Idealization in Economics. Rodopi. pp. 205--228.
    This paper supplies a structuralist reconstruction of the Modigliani-Miller theory and shows that the economic literature following their results reports on research with an implicit strategy to come "closer-to-the-truth" in the modern technical sense in philosophy of science.
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  9.  6
    Crystal structure of 1/0-2/1-1/0 Cu–Al–Sc approximant.Tsutomu Ishimasa, Arina Hirao, Takahiro Honma & Marek Mihalkovič - 2011 - Philosophical Magazine 91 (19-21):2594-2602.
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  10.  17
    The Algebraic Structure of an Approximately Universal System of Quantum Computational Gates.Maria Luisa Dalla Chiara, Roberto Giuntini, Hector Freytes, Antonio Ledda & Giuseppe Sergioli - 2009 - Foundations of Physics 39 (6):559-572.
    Shi and Aharonov have shown that the Toffoli gate and the Hadamard gate give rise to an approximately universal set of quantum computational gates. We study the basic algebraic properties of this system by introducing the notion of Shi-Aharonov quantum computational structure. We show that the quotient of this structure is isomorphic to a structure based on a particular set of complex numbers (the closed disc with center \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(\frac{1}{2},\frac{1}{2})$\end{document} (...)
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  11.  2
    Band structure of the 3d-t2gsub-shell of V2O3and Ti2O3in the tight-binding approximation.I. Nebenzahl & M. Weger - 1971 - Philosophical Magazine 24 (191):1119-1140.
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  12.  4
    Structure of the pseudodecagonal Al–Co–Ni approximant PD4.P. Oleynikov, L. Demchenko, J. Christensen, S. Hovmöller, T. Yokosawa, M. Döblinger, B. Grushko & X. D. Zou - 2006 - Philosophical Magazine 86 (3-5):457-462.
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  13.  6
    Quasicrystal approximant Ho13Zn58 + δ : an incommensurate modulated tunnel structure.S. Y. Piao & S. Lidin - 2007 - Philosophical Magazine 87 (18-21):2693-2699.
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  14.  2
    Atomic structure and electron transport properties of the Al–Pd–Mn–Re–Si 1/1-cubic approximant.T. Takeuchi - 2006 - Philosophical Magazine 86 (6-8):709-716.
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  15.  6
    Structural vacancies in Al–Pd–Mn quasicrystal and its -AlPdMnSi approximant crystals: Positron lifetime studies.Y. Takagiwa, J. T. Okada, K. Kimura, H. Kitahata, Y. Matsushita & I. Kanazawa - 2008 - Philosophical Magazine 88 (13-15):1929-1934.
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  16.  2
    Structure of an approximant crystal in Ni-rich Al71Ni22Co7.E. Abe & A. Yamamoto - 2011 - Philosophical Magazine 91 (19-21):2617-2623.
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  17.  11
    Approximation Representations for Δ2 Reals.George Barmpalias - 2004 - Archive for Mathematical Logic 43 (8):947-964.
    We study Δ2 reals x in terms of how they can be approximated symmetrically by a computable sequence of rationals. We deal with a natural notion of ‘approximation representation’ and study how these are related computationally for a fixed x. This is a continuation of earlier work; it aims at a classification of Δ2 reals based on approximation and it turns out to be quite different than the existing ones (based on information content etc.).
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  18.  2
    Modeling disciplinary structure with uniform manifold approximation and projection.Maximilian Noichl - unknown
    A single abstract from the DHd-2020 Book ofs.
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  19.  3
    Evaluation of structural vacancies for 1/1-Al–Re–Si approximant crystals by positron annihilation spectroscopy.K. Yamada, H. Suzuki, H. Kitahata, Y. Matsushita, K. Nozawa, F. Komori, R. S. Yu, Y. Kobayashi, T. Ohdaira, N. Oshima, R. Suzuki, Y. Takagiwa, K. Kimura & I. Kanazawa - forthcoming - Philosophical Magazine:1-11.
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  20.  1
    Extensions and Smooth Approximations of Definable Functions in O-minimal Structures.Athipat Thamrongthanyalak - 2018 - Bulletin of Symbolic Logic 24 (4):459-460.
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  21.  6
    Low-temperature structural stability of Cd6M cubic crystalline approximants.Kazue Nishimoto, Takeru Sato, Miki Muraki & Ryuji Tamura - 2011 - Philosophical Magazine 91 (19-21):2587-2593.
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  22.  3
    Defect-modulated structures in Al–Ni–Rh crystalline approximants.W. Sun, Y. H. Chen & Z. Zhang - 2007 - Philosophical Magazine 87 (18-21):2815-2822.
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  23.  68
    From Zeldovich Approximation to Burgers’ equation: A Plausible Route to Cellular Automata Adhesion Universe.Florentin Smarandache & Victor Christianto - manuscript
    Some years ago, Hidding et al. suggest that the emergence of intricate and pervasive weblike structure of the Universe on Megaparsec scales can be approximated by a well-known equation from fluid mechanics, the Burgers’ equation. The solution to this equation can be obtained from a geometrical formalism. The resulting Adhesion formalism provides deep insight into the dynamics and topology of the Cosmic Web. It uncovers a direct connection between the conditions in the very early Universe and the complex spatial (...)
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  24.  1
    A constructive-axiomatic approach to the Lie structure in general spacetime by the principle of approximative reproducibility.Dieter Mayr - 1983 - Foundations of Physics 13 (7):731-743.
    The present article covers the first part of our constructive-axiomatic approach to general spacetime, guided by Ludwig's conception of an axiomatic base. The leading idea of axiomatization is a generalized version of the equivalence principle—the principle of approximative reproducibility. As fundamental concepts we use processes and reproductions of processes. On the universe of processes the point space of events is founded which carries the familiar properties of spacetime topology. A general contact relation for reproductions is the key structure to (...)
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  25.  7
    Eikonal Approximation to 5D Wave Equations and the 4D Space-Time Metric.O. Oron & L. P. Horwitz - 2003 - Foundations of Physics 33 (9):1323-1338.
    We apply a method analogous to the eikonal approximation to the Maxwell wave equations in an inhomogeneous anisotropic medium and geodesic motion in a three dimensional Riemannian manifold, using a method which identifies the symplectic structure of the corresponding mechanics, to the five dimensional generalization of Maxwell theory required by the gauge invariance of Stueckelberg's covariant classical and quantum dynamics. In this way, we demonstrate, in the eikonal approximation, the existence of geodesic motion for the flow of (...)
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  26.  2
    The effect of order of approximation to the statistical structure of English on the emission of verbal responses.Kurt Salzinger, Stephanie Portnoy & Richard S. Feldman - 1962 - Journal of Experimental Psychology 64 (1):52.
  27.  32
    Approximate truth and dynamical theories.Peter Smith - 1998 - British Journal for the Philosophy of Science 49 (2):253-277.
    Arguably, there is no substantial, general answer to the question of what makes for the approximate truth of theories. But in one class of cases, the issue seems simply resolved. A wide class of applied dynamical theories can be treated as two-component theories—one component specifying a certain kind of abstract geometrical structure, the other giving empirical application to this structure by claiming that it replicates, subject to arbitrary scaling for units etc., the geometric structure to be found (...)
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  28.  4
    Approximate Similarities and Poincaré Paradox.Giangiacomo Gerla - 2008 - Notre Dame Journal of Formal Logic 49 (2):203-226.
    De Cock and Kerre, in considering Poincaré paradox, observed that the intuitive notion of "approximate similarity" cannot be adequately represented by the fuzzy equivalence relations. In this note we argue that the deduction apparatus of fuzzy logic gives adequate tools with which to face the question. Indeed, a first-order theory is proposed whose fuzzy models are plausible candidates for the notion of approximate similarity. A connection between these structures and the point-free metric spaces is also established.
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  29.  5
    Relativistic models for nuclear structure calculations: Comparative study of mean-field and Hartree-Fock approximation for superheavy nuclei. [REVIEW]R. N. Schmid, E. Engel & R. M. Dreizler - 1997 - Foundations of Physics 27 (9):1257-1274.
    The relevance of exchange effects for the stability of superheavy nuclei is examined within a linear QHD-II model by comparing Hartree-Fock with meanfield results. To allow a scan of the complete superheavy regime the recently developed local density approximation (LDA) for the exchange potential is employed for the Hartree-Fock level calculations. It turns out that, while many nuclear properties obtained with the LDA approach differ significantly from the corresponding mean-field results, the predictions of the two methods for shell closures (...)
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  30.  8
    Approximate Semantic Transference: A Computational Theory of Metaphors and Analogies.Bipin Indurkhya - 1987 - Cognitive Science 11 (4):445-480.
    In this paper we start from the assumption that in a metaphor, or an analogy, some terms belonging to one domain (source domain) are used to refer to objects other than their conventional referents belonging to a possibly different domain (target domain). We describe a formalism, which is based on the First Order Predicate Calculus, for representing the knowledge structure associated with a domain and then develop a theory of Constrained Semantic Transference [CST] which allows the terms and the (...)
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  31.  8
    An invitation to approximate symmetry, with three applications to intertheoretic relations.Samuel C. Fletcher - 2019 - Synthese 198 (5):4811-4831.
    Merely approximate symmetry is mundane enough in physics that one rarely finds any explication of it. Among philosophers it has also received scant attention compared to exact symmetries. Herein I invite further consideration of this concept that is so essential to the practice of physics and interpretation of physical theory. After motivating why it deserves such scrutiny, I propose a minimal definition of approximate symmetry—that is, one that presupposes as little structure on a physical theory to which it is (...)
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  32.  5
    Approximate belief revision.S. Chopra, R. Parikh & R. Wassermann - 2001 - Logic Journal of the IGPL 9 (6):755-768.
    The standard theory for belief revision provides an elegant and powerful framework for reasoning about how a rational agent should change its beliefs when confronted with new information. However, the agents considered are extremely idealized. Some recent models attempt to tackle the problem of plausible belief revision by adding structure to the belief bases and using nonstandard inference operations. One of the key ideas is that not all of an agent's beliefs are relevant for an operation of belief change.In (...)
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  33.  5
    Spacetime: function and approximation.Sam Baron - 2022 - Synthese 200 (2).
    Several approaches to quantum gravity signal the loss of spacetime at some level. According to spacetime functionalism, spacetime is functionally realised by a more fundamental structure. According to one version of spacetime functionalism, the spacetime role is specified by Ramsifying general relativity. In some approaches to QG, however, there does not appear to be anything that exactly realises the functional role defined by a Ramsey sentence for GR. The spacetime role is approximately realised. It is open to the spacetime (...)
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  34.  55
    Structural realism versus standard scientific realism: the case of phlogiston and dephlogisticated air.James Ladyman - 2011 - Synthese 180 (2):87 - 101.
    The aim of this paper is to revisit the phlogiston theory to see what can be learned from it about the relationship between scientific realism, approximate truth and successful reference. It is argued that phlogiston theory did to some extent correctly describe the causal or nomological structure of the world, and that some of its central terms can be regarded as referring. However, it is concluded that the issue of whether or not theoretical terms successfully refer is not the (...)
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  35.  24
    Nomic Truth Approximation Revisited.Theo A. F. Kuipers - 2019 - Cham: Springer Verlag.
    This monograph presents new ideas in nomic truth approximation. It features original and revised papers from a philosopher of science who has studied the concept for more than 35 years. Over the course of time, the author's initial ideas evolved. He discovered a way to generalize his first theory of nomic truth approximation, viz. by dropping an unnecessarily strong assumption. In particular, he first believed to have to assume that theories were maximally specific in the sense that they (...)
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  36. Transitive indistinguishability and approximate measurement with standard finite ratio-scale representations.Patrick Suppes - 2006 - Journal of Mathematical Psychology 50:329-336.
    Ordinary measurement using a standard scale, such as a ruler or a standard set of weights, has two fundamental properties. First, the results are approximate, for example, within 0.1 g. Second, the resulting indistinguishability is transitive, rather than nontransitive, as in the standard psychological comparative judgments without a scale. Qualitative axioms are given for structures having the two properties mentioned. A representation theorem is then proved in terms of upper and lower measures.
     
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  37.  4
    Discrete metric spaces: Structure, enumeration, and 0-1 laws.Dhruv Mubayi & Caroline Terry - 2019 - Journal of Symbolic Logic 84 (4):1293-1325.
    Fix an integer $r \ge 3$. We consider metric spaces on n points such that the distance between any two points lies in $\left\{ {1, \ldots,r} \right\}$. Our main result describes their approximate structure for large n. As a consequence, we show that the number of these metric spaces is $\left\lceil {{{r + 1} \over 2}} \right\rceil ^{\left + o\left}.$Related results in the continuous setting have recently been proved by Kozma, Meyerovitch, Peled, and Samotij [34]. When r is even, (...)
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  38.  12
    Is Nonsymbolic Arithmetic Truly “Arithmetic”? Examining the Computational Capacity of the Approximate Number System in Young Children.Chen Cheng & Melissa M. Kibbe - 2023 - Cognitive Science 47 (6):e13299.
    Young children with limited knowledge of formal mathematics can intuitively perform basic arithmetic‐like operations over nonsymbolic, approximate representations of quantity. However, the algorithmic rules that guide such nonsymbolic operations are not entirely clear. We asked whether nonsymbolic arithmetic operations have a function‐like structure, like symbolic arithmetic. Children (n = 74 4‐ to ‐8‐year‐olds in Experiment 1; n = 52 7‐ to 8‐year‐olds in Experiment 2) first solved two nonsymbolic arithmetic problems. We then showed children two unequal sets of objects, (...)
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  39.  4
    Investigations of the Concept of Reduction II: Approximative Reduction of Theories with Inaccuracy-Sets: Uniform Structures on Theories, Their Completion and Embedding.Dieter Mayr - 1981 - Erkenntnis 16 (1):109 - 129.
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  40.  5
    TEM spectroscopy study of electronic structures of quasicrystals and approximants.M. Terauchi, Y. Uemichi, H. Ueda, A. P. Tsai, T. Takeuchi & U. Mizutani - 2007 - Philosophical Magazine 87 (18-21):2947-2955.
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  41.  5
    High-Order Mean-Field Approximations for Adaptive Susceptible-Infected-Susceptible Model in Finite-Size Networks.Kai Wang, Xiao Fan Liu & Dongchao Guo - 2021 - Complexity 2021:1-8.
    Exact solutions of epidemic models are critical for identifying the severity and mitigation possibility for epidemics. However, solving complex models can be difficult when interfering conditions from the real-world are incorporated into the models. In this paper, we focus on the generally unsolvable adaptive susceptible-infected-susceptible epidemic model, a typical example of a class of epidemic models that characterize the complex interplays between the virus spread and network structural evolution. We propose two methods based on mean-field approximation, i.e., the first-order (...)
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  42.  18
    Structural Equation Modeling Analysis on Associations of Moral Distress and Dimensions of Organizational Culture in Healthcare: A Cross-Sectional Study of Healthcare Professionals.Tessy A. Thomas, Shelley Kumar, F. Daniel Davis, Peter Boedeker & Satid Thammasitboon - 2024 - AJOB Empirical Bioethics 15 (2):120-132.
    Objective Moral distress is a complex phenomenon experienced by healthcare professionals. This study examined the relationships between key dimensions of Organizational Culture in Healthcare (OCHC)—perceived psychological safety, ethical climate, patient safety—and healthcare professionals’ perception of moral distress.Design Cross-sectional surveySetting Pediatric and adult critical care medicine, and adult hospital medicine healthcare professionals in the United States.Participants Physicians (n = 260), nurses (n = 256), and advanced practice providers (n = 110) participated in the study.Main outcome measures Three dimensions of OCHC were (...)
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  43.  13
    Psychometric Evaluation of the Overexcitability Questionnaire-Two Applying Bayesian Structural Equation Modeling and Multiple-Group BSEM-Based Alignment with Approximate Measurement Invariance.Niki De Bondt & Peter Van Petegem - 2015 - Frontiers in Psychology 6.
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  44.  9
    The Distributivity on Bi-Approximation Semantics.Tomoyuki Suzuki - 2016 - Notre Dame Journal of Formal Logic 57 (3):411-430.
    In this paper, we give a possible characterization of the distributivity on bi-approximation semantics. To this end, we introduce new notions of special elements on polarities and show that the distributivity is first-order definable on bi-approximation semantics. In addition, we investigate the dual representation of those structures and compare them with bi-approximation semantics for intuitionistic logic. We also discuss that two different methods to validate the distributivity—by the splitters and by the adjointness—can be explicated with the help (...)
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  45. Are Generative Models Structural Representations?Marco Facchin - 2021 - Minds and Machines 31 (2):277-303.
    Philosophers interested in the theoretical consequences of predictive processing often assume that predictive processing is an inferentialist and representationalist theory of cognition. More specifically, they assume that predictive processing revolves around approximated Bayesian inferences drawn by inverting a generative model. Generative models, in turn, are said to be structural representations: representational vehicles that represent their targets by being structurally similar to them. Here, I challenge this assumption, claiming that, at present, it lacks an adequate justification. I examine the only argument (...)
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  46. Compositionality and constituent structure in the analogue mind.Sam Clarke - 2023 - Philosophical Perspectives 37 (1):90-118.
    I argue that analogue mental representations possess a canonical decomposition into privileged constituents from which they compose. I motivate this suggestion, and rebut arguments to the contrary, through reflection on the approximate number system, whose representations are widely expected to have an analogue format. I then argue that arguments for the compositionality and constituent structure of these analogue representations generalize to other analogue mental representations posited in the human mind, such as those in early vision and visual imagery.
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  47.  6
    Pseudofinite Structures and Counting Dimensions.Tingxiang Zou - 2021 - Bulletin of Symbolic Logic 27 (2):223-223.
    The thesis pseudofinite structures and counting dimensions is about the model theory of pseudofinite structures with the focus on groups and fields. The aim is to deepen our understanding of how pseudofinite counting dimensions can interact with the algebraic properties of underlying structures and how we could classify certain classes of structures according to their counting dimensions. Our approach is by studying examples. We treat three classes of structures: The first one is the class of H-structures, which are generic expansions (...)
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  48.  43
    Generalizing Empirical Adequacy II: Partial Structures.Sebastian Lutz - 2021 - Synthese 198 (2):1351-1380.
    I show that extant attempts to capture and generalize empirical adequacy in terms of partial structures fail. Indeed, the motivations for the generalizations in the partial structures approach are better met by the generalizations via approximation sets developed in “Generalizing Empirical Adequacy I”. Approximation sets also generalize partial structures.
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  49.  15
    Do molecules have structure in isolation? How models can provide the answer.Vanessa Seifert - 2022 - In Olimpia Lombardi, Juan Camilo Martínez & Sebastian Fortin (eds.), Philosophical Perspectives on Quantum Chemistry. Springer Cham. pp. 125–143.
    I argue that molecules may not have structure in isolation. I support this by investigating how quantum models identify structure for isolated molecules. Specifically, I distinguish between two sets of models: those that identify structure in isolation and those that do not. The former identify structure because they presuppose structural information about the target system via the Born- Oppenheimer approximation. However, it is an idealisation to assume structure in isolation because there is no empirical (...)
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  50.  10
    Argument structure: representation and theory.James B. Freeman - 2011 - New York: Springer.
    An approach to argument macrostructure -- The dialectical nature of argument -- Toulmin's problematic notion of warrant -- The linked-convergent distinction, a first approximation -- Argument structure and disciplinary perspective : the linked-convergent versus multiple-co-ordinatively compound distinctions -- The linked-convergent distinction, refining the criterion -- Argument structure and enthymemes -- From analysis to evaluation.
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