Nature is characterized by its chaotic behavior. Mathematics is considered one of the appropriate tools to achieve the best definition of possible its chaos variables and process. Classical mathematics deals with the numbers as static and meaningless, but chaos mathematics deals with it as dynamic evolutionary, and value- added. This paper attempts to introduce the transportation problem re...

* Correspondence: qlhuang@yeah. net Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, People’s Republic of China Abstract By using the way of weight coefficients and the idea of introducing parameters and by means of Hadamard’s inequality, we give a more accurate half-discrete Hilbert’s inequality with a best constant factor. We also consider its best ex...

The main results of this paper establish the superdense unbounded divergence of some discrete best approximation operators. 2000 Mathematics Subject Classification: 41A10.

In this paper, we present the best possible upper and lower bounds for the Sándor-Yang mean in terms of the power mean. Mathematics subject classification (2010): 26E60.

As with most computer science problems, representation of the data is the key to ecient and eective solutions. Piecewise linear representation has been used for the representation of the data. This representation has been used by various researchers to support clustering, classication, indexing and association rule mining of time series data. A variety of algorithms have been proposed to obtain...

in recent years, mathematics is an essential aspect of all areas of daily life and the best predictor of being successful in economic situations of society. for many students, the mathematics accompanied with frustration, anxiety and negative attitudes towards mathematics. these students believe their anxiety have been derived from their math teachers, math misconception and weakness in math as...

* Correspondence: [email protected] Department of Mathematics and Computer Science, Amirkabir University of Technology, Hafez Ave., P.O. Box 15875-4413, Tehran, Iran Abstract In this paper, a CAT(0) version of famous Fan’s minimax inequality is established and as its application, we obtain some fixed point theorems and best approximation theorems in CAT(0) spaces. 2000 Mathematics Subject Classifi...

In this article, we studied the best approximation in probabilistic 2-normed spaces. We defined the best approximation on these spaces and generalized some definitions such as set of best approximation, Pb-proximinal set and Pb-approximately compact and orthogonality relative to any set and proved some theorems about them. AMS Mathematics Subject Classification (2010): 54E70, 46S50

1 Problem Statement In unsupervised classication, we are given a collection of samples and must label them to show their class membership, without knowing anything about the underlying data generating machinery, not even the number of classes. That is, we are given some sequence of observed objects 1; 2 Now we must assign each object to one of a number of classes C = C 1 ; : : : ; C c in an \op...