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Complexity: time and space

2004
Complexity introduces a measure associated with algorithms described for a computation model. This measure allows us to express that a problem is more difficult than another one and to understand why certain problems are inherently difficult. Two classical measures are introduced: time, which measures the number of elementary steps necessary in an ...
Michel de Rougemont, Richard Lassaigne
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Complex recurrent space-times

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1972
It is shown that the complex recurrent space-times are of Petrov type D or N. The spaces of type D are non-empty and decomposable into the product of two 2-dimensional spaces of arbitrary curvature, the recurrence vector being necessarily real. It is established that the problem of determining the type N complex recurrent spaces is equivalent to that ...
J. Leroy, Raymond G. McLenaghan
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Complexity, information and time

World Futures, 1992
Abstract Evolution proceeds in time. Time is experienced as change only, predominantly irreversible change. Measuring change in the form of information growth it is possible to define a measure for the amount of time produced during information increase. Systems creating information contribute to the generation of time. To be able to create information,
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Time Complexity of Recognition

1984
A measure of the computational complexity of recognising strings of a language characterised in a particular grammatical formalism. Usually given as the worst-case asymptotic upper bound — that is, one proves how a particular recognition algorithm will perform on arbitrarily long strings of a language whose grammar is the worst possible for the given ...
Lincoln Wallen, Alan Bundy
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Time and Interactions in Complex Systems

Systems Research and Behavioral Science, 1997
Summary: Morphodynamics accounts for the evolution and the creation of order in living matter in the model set up by physics to explain order in inert matter. Now, according to physics, ordering is closely bound to passing time. The model thus leads to the definition of a specific time for living matter. Morphodynamics then shows that organisms are apt
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Time series clustering in linear time complexity

Data mining and knowledge discovery, 2021
Xiaosheng Li, Jessica Lin, Liang Zhao
semanticscholar   +1 more source

Complexity of Categorical Time Series

Sociological Methods & Research, 2010
Categorical time series, covering comparable time spans, are often quite different in a number of aspects: the number of distinct states, the number of transitions, and the distribution of durations over states. Each of these aspects contributes to an aggregate property of such series that is called complexity.
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Time complexity and model complexity of fast identification of continuous-time LTI systems

IEEE Transactions on Automatic Control, 1999
Summary: The problem of fast identification of continuous-time systems is formulated in the metric complexity theory setting. It is shown that the two key steps to achieving fast identification, i.e., optimal input design and optimal model selection can be carried out independently when the time system belongs to a general a priori set.
George Zames, Le Yi Wang, Lin Lin
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Time complexity of A∗∗

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica, 2021
Tibor Gregorics
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Time Complexity and Learning

Annals of the New York Academy of Sciences, 1999
GUALA, ELDA, BOERO P.
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