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The computational model used for this study, introduced in [22], investigates how a population of individuals can develop a shared repertoire of linguistic categories, i.e., co-evolve their own system of symbols and meanings, without any pre-defined categorization and by only means of elementary language games [23].
By means of elementary calculation, it is easy to deduce the following results.
These equations are expressed in algebraic terms and are handled by means of elementary algebra and elementary calculus.
The classical way for solving these integrals is by means of elementary Calculus (antiderivatives and limit computations) or using numerical approaches.
The product was characterized by means of elementary analysis, intrinsic viscosity, infrared spectrometry, 1H and 13C nuclear magnetic resonance, differential scanning calorimetry, and thermogravimetric analysis.
More specifically, herein by means of elementary considerations, we deduce adequate forms of strain-energy functions that are a priori decomposed into purely volumetric and volume-preserving parts.
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Despite the vast spectrum of designs the attainable region is intended to embrace, two theorems suggest that its extreme points will always be accessible by means of classical elementary reactor types taken in simple combination.
where are the means of the elementary signals, assuming that the mean of is zero.
Fortunately, we are able to achieve our goal by means of completely elementary considerations.
Especially, we give a new solution to the topological classification problem for linear control systems by means of an elementary analytic approach, which differs considerably from J.C. Willems' algebraic method developed in (Willems, 1980) [17].
The mean number of elementary events, duplications and deletions, which are required for the formation of the largest family, decrease monotonically with the increase of the model degree.
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