In this paper we study the formal classication of two-dimensional neighborhoods genus g ≥ 2 curves with trivial normal bundle. We first construct foliations on such holonomy vanishing along many loops, then give formal/analytic equipped two foliations, and finally put together to obtain a description space up equivalence.

A self-organizing neural network model for mechanism of pattern recognition unaected by shift in position. of Japanese Kanji using principal component analysis as a preprocessor to an articial neural etwork. 10 necessary, only one initial guess was used. These results show that for character classication accuracy NN methods and statistical methods have comparable accuracies conrming the COCR re...

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...

This article discusses the actual problems of teaching mathematics students related to introduction actuarial and financial into curriculum. The premise is need provide quality education for in field insurance activities. It also various methods mathematics, their advantages disadvantages, as well associated with lack qualified teachers this area. authors emphasize importance practical training...

The purpose of this article is to first introduce the notion of tripled best proximity point and cyclic contraction pair. We also establish the existence and convergence theorems of tripled best proximity points in metric spaces. Moreover, we apply our results to setting of uniformly convex Banach space. Finally, we obtain some results on the existence and convergence of tripled fixed point in ...

This article raises the question of what K-12 teachers need to know to teach mathematics and science well. It begins by examining reform proposals for K-12 science and mathematics teaching with an eye toward defining what good teaching practice consists of. It then examines a wide range of literature to delineate the varieties of knowledge that have been associated with this kind of teaching. W...

In property testing, we desire to distinguish between objects that have a given property and objects that are far from the property by examining only a small, randomly selected portion of the objects. Property testing arose in the study of formal verication, however much of the recent work has been focused on testing graph properties. In this thesis we introduce a generalization of property tes...