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Syntax, 2017
AbstractThe linearization of unboundedly many syntactic structures given a finite number of ordering instructions poses a compositionality problem similar to the semantic problem of determining the meanings of unboundedly many structures. We discuss this challenge and use various constructions such as Right‐Node Raising that have been argued to involve
Bachrach, Asaf, Katzir, Roni
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AbstractThe linearization of unboundedly many syntactic structures given a finite number of ordering instructions poses a compositionality problem similar to the semantic problem of determining the meanings of unboundedly many structures. We discuss this challenge and use various constructions such as Right‐Node Raising that have been argued to involve
Bachrach, Asaf, Katzir, Roni
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Israel Journal of Mathematics, 1993
A fine structure theorem for certain \(O\)-minimal groups is given. These results can be considered as \(O\)-minimal analogues of various results on locally modular weakly minimal groups. The authors define the property ``CF'' (collapse of functions) which is a kind of 1-basedness, as follows. The \(O\)-minimal structure \((M,
Loveys, James, Peterzil, Ya'acov
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A fine structure theorem for certain \(O\)-minimal groups is given. These results can be considered as \(O\)-minimal analogues of various results on locally modular weakly minimal groups. The authors define the property ``CF'' (collapse of functions) which is a kind of 1-basedness, as follows. The \(O\)-minimal structure \((M,
Loveys, James, Peterzil, Ya'acov
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2019
Abstract Many aspects of linear algebra can be reformulated as categorical structures. This chapter examines abstractions of the base field, zero-dimensional spaces, addition of linear operators, direct sums, matrices, inner products and adjoints. These features are essential for modelling features of quantum theory such as superposition,
Chris Heunen, Jamie Vicary
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Abstract Many aspects of linear algebra can be reformulated as categorical structures. This chapter examines abstractions of the base field, zero-dimensional spaces, addition of linear operators, direct sums, matrices, inner products and adjoints. These features are essential for modelling features of quantum theory such as superposition,
Chris Heunen, Jamie Vicary
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Linear active control for linear and non linear structures
Proceedings Intelligent Information Systems. IIS'97, 2002This paper summarizes the basic approaches and the results obtained by the authors regarding the active control of structures. The optimal design of linear active control algorithms for nominally linear oscillators and their validation for non-linear systems (Van der Pol and Duffing oscillators), unknown and stochastic forcing functions, delayed and ...
BARATTA, ALESSANDRO +2 more
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Identification of Linear Structures
Journal of Dynamic Systems, Measurement, and Control, 1984Experimental frequency response data for a linear dynamic system is used to obtain system transfer functions. An easily implemented multi-degree-of-freedom technique which is applicable to linear structures having moderate, non-proportional viscous damping is presented.
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Linear and non-linear structural relaxation
Journal of Non-Crystalline Solids, 1991Abstract The widely applied Tool-Narayanaswamy (TN) model for structural relaxation associated with the glass transition is discussed and critiqued. The TN model accounts for the non-exponential character of the structural relaxation by effectively invoking a distribution of relaxation times and for the non-linear character by allowing the relaxation
C.T. Moynihan +2 more
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Characterization of Linear Structures
Designs, Codes and Cryptography, 2001Let \(F\) be a function defined from \(F_2^m\) to \(F_2^n\) and \((\alpha,a)\) be an element of \(F_2^m\times F_2^n\), with \(\alpha\neq 0\). Then \((\alpha,a)\) is defined to be a linear structure of \(F\) if \(F(x)= F(x+\alpha)+ a\) for all \(x\in F_2^m\).
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