A topological space can be thought of as a set form which has been swept away all structure irrelevant to the continuity. So, concepts of semi-continuity, weaker-continuity and pre-continuity are widely acceptable in topological domain. This book imparts latest developments in various forms of continuity in a topological space and their classifications, decomposition and successful applications. The book is aimed at providing conceptual skill in various forms of continuity in topological space, which is very needful for researcher of spatial and ...

The main aim of this work is to apply Generalized Extreme Value distribution under Linear normalization (GEVL) and Generalized Pareto Distribution under Linear normalization (GPDL) to modeling air pollutant in El Sharkia governorate in Egypt. Also, to solve the problem of the choice peak over threshold in the case of GPDL and the validity of bootstrap method in the case of GEVL modeling. We suggest the sub-sample bootstrap method to convert any data to block data to use it for GEVL modeling. Moreover, we introduced the Generalized Pareto Distribution under ...

The McEliece cryptosystem was proposed by R.McEliece in 1978. In its original version it is based on Goppa codes. Given a public key matrix G and a codeword c=mG+e, we reduce the problem of recovering the error vector e to the shortest lattice vector problem. Using Conway and Sloane's "Construction A", we construct a basis of a lattice, in which the norm of the shortest vector w.r.t. lp norm is equal to the lp norm of the error vector e for p>log(t), where t is the weight of the error vector e. To find such shortest vector in our lattice we use the LLL and ...

Surface topography is, generally, composed of many length scales starting from its physical geometry, to its microscopic or atomic scales known by roughness. The spatial and geometrical evolution of the roughness topography of engineered surfaces avail comprehensive understanding, and interpretation of many physical and engineering problems such as friction, and wear mechanisms during the mechanical contact between adjoined surfaces. Obviously, the topography of rough surfaces is of random nature. It is composed of irregular hills/valleys being spatially ...

This book includes problems and projects (either in whole or in part) that my students worked on in my regular math classes, in my advanced math elective, or outside of school with my mentoring. The problems and projects include some that can be found in literature, some that I made up myself, and some (no doubt) that are both because what I made-up may have been made-up previously. I decided to compile some of the topics that my best students worked on and publish them for the benefit of other teachers, who could share them with their gifted students. ...

With perseverance and determination, you can surpass any challenge! Bear that in mind when you open the Sudoku Xtra Edition book of extremely challenging puzzles. You want to solve Sudoku because of the benefits it brings, particularly in overall brain development. Go ahead and grab a copy of this book today!

The Journal of Applied Logics - IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are open access, and available via the College Publications website. This Journal is open access, and available in both printed and electronic formats. It is published by College Publications, on behalf of IfCoLog (www.ifcolog.net). 

El problema de reconstrucción de procesos Gaussianos con jitter empezó a investigarse en los años sesentas, pero el interés acerca de este problema ha aumentado en los últimos años debido al gran auge que tienen los medios de comunicación digitales. El jitter se presenta como la variación del tiempo de muestreo de la información y su consideración es importante debido a que puede generar efectos indeseables y pérdida de datos. La principal característica de este trabajo está ...

This book has been considered by academicians and scholars of great significance and value to literature. This forms a part of the knowledge base for future generations. So that the book is never forgotten we have represented this book in a print format as the same form as it was originally first published. Hence any marks or annotations seen are left intentionally to preserve its true nature.

Este trabajo se inicia con un breve estudio de la evolución de las técnicas para analizar series de tiempo. Lego se pasa al análisis de la correlación serial, los modelos ARMA, ARIMA y otros no estacionarios hasta alcanzar los métodos de Box y Jenkins de identificación, estimación, control y predicción. Se sigue con un estudio econométrico de las series cronológicas. Luego se presenta el análisis en el dominio de las frecuencias. A continuación el estudio se centra en el enfoque ...

For the financial industry, it is of paramount importance to understand the statistical features of price processes. While statistical models can reproduce empirical findings, they cannot give insight into the causal relationships and the market's response to a changing environment. Microscopic models of financial markets are an approach to understand the underlying mechanisms determining the market behaviour. In this book, we give an introduction to the basic idea of microscopic modelling with a particular focus on the "Opinion Game", a microscopic market ...

The purpose of this study was to determine the most efficient model between the two models namely, ARCH and bilinear models when applied to stock market data. The data was obtained from the Nairobi Stock Exchange (NSE) for the period between 3 rd June 1996 to 31 st December 2007 for the company share prices while for the NSE 20-share index data was for period between 2 nd March 1998 to 31 st December 2007.The share prices for three companies; Bamburi Cement, National Bank of Kenya and Kenya Airways which were selected at random from each of the three main ...

In this thesis we have analyzed the Auroral Electrojet (AE) Index over the years 2000 to 2005, a time series consisting of over 3 000 000 data points. This data is described as a multi- fractal stochastic process. We first introduce a class of random multiplicative measures, which provide the multi-fractality in the stochastic processes. We also review the theory of fractal dimensions and scaling functions, before introducing the Multifractal Model of Asset Returns (MMAR), [15]. The scaling properties of various versions of the MMAR model are compared ...

The Journal of Applied Logics - IfCoLog Journal of Logics and their Applications (FLAP) covers all areas of pure and applied logic, broadly construed. All papers published are open access, and available via the College Publications website. This Journal is open access, and available in both printed and electronic formats. It is published by College Publications, on behalf of IfCoLog (www.ifcolog.net). 

What is the true nature of reality? How does consciousness fit in? Why is love the most powerful force we feel? In this paradigm shifting book you will discover a remarkably simple and profound answer to all these questions and more: everything is consciousness emerging from love. By imagining the simplest conceptual way of creating "something" from "nothing," as cycles of prime numbers in base-12, Michael Smith reveals the elegant vibrational pattern which emerges. Taking the shape of a double-helix probability waveform which manifests as a torus in ...

There already exist a number of excellent graduate textbooks on the theory of differential forms as well as a handful of very good undergraduate textbooks on multivariable calculus in which this subject is briefly touched upon but not elaborated on enough. The goal of this textbook is to be readable and usable for undergraduates. It is entirely devoted to the subject of differential forms and explores a lot of its important ramifications. In particular, our book provides a detailed and lucid account of a fundamental result in the theory of differential ...

Railway as an important foundation in transportation industry, has a negligible role in transmission of cargo and passengers. In this Study, we usede the statistical methods as : 1- Simple Linear Regression 2- Multiple Linear Regression 3- Non-Parameteric Regression 4- Estimation Parameters of Linear Models 5- Estimation Parameters of Non-Linear Model 6- Comparing the Parametric and Non-Parametric Models

This book is based on a course Calculus-II. The purpose of this text book is to provide a rigorous treatment of the foundations of dierential calculus. We write this book as per the revised syllabus of F.Y. B.Sc. Mathematics, revised by Savitribai Phule Pune University, Pune, implemented from June 2019. Calculus is the most useful subject in all of mathematics and it is used extensively in applied mathematics and engineering.

GAME THEORY Although game theory as a salient concept is relatively young, the principles behind game theory have for millennia allowed humans to anticipate the behavior of their fellows and work out compelling exchanges that suit everyone's self-interest, allowing people to benefit both individually and collectively. This book serves as a complete guide to game theory, and will explain the principles of game theory, while also providing practical examples such as the Prisoner's Dilemma, and the role that game theory played during the Cold War. ...

What In The World Is Quantum Physics?   Do black holes really exist? Are string theories made of... strings? What is the Schrödinger's Cat?   Let's face the fact here, you are NOT A SCIENTIST nor a physician, and yet you are curious about those questions that you have been pondering about. It's time for you to rediscover science?   One of the most compelling draws of the sciences for many people is the potential of discovering something that was not known before. Whether someone's doing it for fame, for ...

Testing mechanical components for their intended purpose under predetermined working conditions is a common practice used by industries to prevent failures. Fatigue tests are categorized as Time Truncated or Failure Truncated, known in the literature as Type I and Type II tests, respectively. The parameters of a typical failure truncated test include the capacity of the test facility, the actual number of components placed on the test, the termination of the test once a predetermined number of test results has been collected and the duration of the test. ...

Increasing urbanization, population explosion, and improving standards of living due to technological innovations have contributed to increases in the quantity of a variety of Solid Waste Materials generated by industrial, domestic, mining, and agricultural activities. Because of the land using growth in the construction in the world, clay is mixed with different types of Solid Waste Materials from various sources. Recent re-construction activities for the urban transformation of cities have resulted in environmental impacts. Waste materials are left behind ...

Medium difficulty Sudoku puzzles offer a stimulating activity for Sleepy Sundays. This book ensures your brain gets the exercise it needs to remain healthy, active and sharp. Talk about a great way to end one week before starting another! Don't waste another Sunday! Get it today!

Availability of multiprocessor computers, allows us to solve many complex problems using Monte Carlo method. Monte Carlo methods have been further developed to solve a variety of multidimensional integrals, linear and nonlinear boundary value problems. In monograph we used the deep connections between differential equations and random processes. This connection has been known long ago, the results of the theory of differential equations have been widely used in the theory of probability and vice versa. The solutions of large class linear and nonlinear equations ...