One of the most interesting tasks in mathematics is, undoubtedly, to solve any kind equations. Naturally, this problem has occupied minds mathematicians since dawn algebra. There are hundreds techniques for solving many classes equations, facing finding solutions and studying whether such unique or multiple. recent methodologies that is having great success field study fixed point theory. Its i...

1. INTRODUCTION. In the beginning of the twelfth century CE, an interesting new geometry book appeared: The Book of Mensuration of the Earth and its Division, by Rabbi Abraham Bar Hiya (acronym RABH), a Jewish philosopher and scientist. This book is interesting both historically and mathematically. Its historical aspect is discussed in [3]. In this paper we consider the mathematical aspect. The...

In recent years, urban spaces all over the world have been effectively staged, sometimes too obviously, and design has often concentrated on implementation of "beautiful" lighthouse projects globally oriented lifestyle urbanism. However, beauty – also in broader sense a beautiful experience cannot be an end itself planning. An responsibility to committed residents address pressing challenges ou...

Given the n-dimensional space Fq , the elements of the projective spaces are all subspaces of Fq . Recently these codes have found application in error-correction of network coding. In this paper we examine a few interesting aspects of coding theory in projective spaces. We present codes and bounds in the projective spaces metric and prove that there are no perfect codes in this metric. We cons...

Langmuir–Blodgett (LB) films, prepared by transferring an amphiphilic molecular monolayer (Langmuir monolayer) from a water surface onto a solid substrate, represent both archetypal and prototypical “organized films” (OFs). Known since about 80 years, LB films can be considered from many points of view as one of the prominent predecessors of what we call nanoscience today [1]. Their impact on i...

Deformation theory of complex manifolds is a classical subject with recent new advances in the noncompact case using both algebraic and analytic methods. In this note we recall some concepts existing introduce notions deformations for boundary, compactifiable manifolds, q-concave spaces. We highlight possible applications give list open questions which intend as guide further research rich beau...

In this introductory review, we study Hankel and Toeplitz opera- tors considering them as acting on certain spaces of analytic functions, namely Hardy compare their spectral properties such compactness criteria. contrast to operators, the symbol a operator is not uniquely determined by operator. We also connect operators with Fredholm give some most beautiful essential spectrum continuous index...