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An intentionality interpretation of meaning in mathematics education
(Springer, 2016-07-01)
The referential theory of meaning as well as the use-oriented theory of meaning have huge impacts on the discussion of meaning in mathematics education. Here, I present a third theory in terms of an intentionality ...
P-means and the solution of a functional equation involving Cauchy differences
(Springer, 2015-11)
Solutions to the functional equation
f(x+y)−f(x)−f(y)=2f(Φ(x,y)),x,y>0,
are sought for the admissible pairs (f,Φ)(f,Φ) constituted by a strictly monotonic function f and a strictly increasing in both variables mean ΦΦ ...
General types of spherical mean operators and k-functionals of fractional orders
(AIMSSpringfield, 2015-05)
We design a general type of spherical mean operators and employ them to approximate 'L IND.P' class functions. We show that optimal orders of approximation are achieved via appropriately defined K-functionals of fractional orders.
Land use image classification through optimum-path forest clustering
(2011-11-16)
Land use classification has been paramount in the last years, since we can identify illegal land use and also to monitor deforesting areas. Although one can find several research works in the literature that address this ...
Generalized Cauchy means
(Springer, 2015-01)
Given two means M and N, the operator MM,NMM,N assigning to a given mean μ the mean MM,N(μ)(x,y)=M(μ(x,N(x,y)),μ(N(x,y),y)) was defined in Berrone and Moro (Aequationes Math 60:1–14, 2000) in connection with Cauchy means: ...
Combining K-Means and K-Harmonic with Fish School Search Algorithm for data clustering task on graphics processing units
(2016-04-01)
Data clustering is related to the split of a set of objects into smaller groups with common features. Several optimization techniques have been proposed to increase the performance of clustering algorithms. Swarm Intelligence ...
Monitoring of structural integrity using unsupervised data clustering techniques
(2015-01-01)
This work presents a comparative study of three unsupervised data clustering techniques used to perform the monitoring of the structural integrity of an agricultural tractor. The techniques used in this study are: K-Means, ...