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Matrix and Gröbner Methods in Homological Algebra

für 61.20€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
The present book contains a complete and rigorous treatment of Gröbner bases for modules over commutative polynomial rings with coefficients in Noetherian rings (with some other natural computational conditions), and shows also non-trivial applications of this theory in homological algebra. Algorithmic proofs of some classical theorems of homological algebra using Gröbner bases and matrix constructive methods have been published in many recent papers, but there is not a book that contains both topics. In fact, probably there is not a monograph that simultaneously includes the theory of Gröbner and also presents constructive proofs of three key theorems: Hilbert s Syzygy Theorem, Serre s Theorem, and Quillen-Suslin Theorem. The main purpose of this book is to fill this lack. Some generalizations of these theorems to extended modules and rings from a constructive approach are also included. ····· 10361133653

Kumulyatsiya energii i bezudarnoe szhatie

für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
Osnovnoe soderzhanie nastoyashchego izdaniya - osushchestvlenie bezudarnogo szhatiya cherez kumulyatsiyu energii v sloistykh sistemakh obolochek. Podrobno rassmotreny zakonomernosti dvizheniya sloistykh sistem, realizuyushchikhsya na stadii kumulyatsii energii. Takie sistemy (s uchetom naydennykh priblizhennykh resheniy) otchetlivo vyyavlyayut itogovye zavisimosti ot nachal`nykh parametrov rassmatrivaemykh konstruktsiy. Realizatsiya bezudarnogo szhatiya pri kumulyatsii pozvolyaet poluchit` vysokie konechnye kontsentratsii plotnosti i energii pri minimal`nykh zatratakh energii. Ob`edinenie etikh dvukh faktorov primenitel`no k razrabotke termoyadernykh misheney pozvolyaet vesti tselenapravlennyy poisk ikh optimal`noy konfiguratsii. Raschety po tochnym modelyam neobkhodimy tol`ko na zavershayushchey stadii. ····· 10361133544

Geometric aspects in operator theory and applications

für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
Using extension results for linear operators with two constraints in solving Markov moment problems is a modern technique. Approximation type results are also useful in our days, as well as geometric aspects of functional and classical analysis. The present book contains five chapters related to the above mentioned topics: new results on Markov moment problem, minimum norm elements, Newton`s method for convex monotone operators, equilibrium values and constant rates in interconversion processes, constructive methods in the implicit function principle. The book is written for anyone which is interested in these fields. ····· 10361133390

The Representation Type of the I-Blocks of Category O_S

für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
Let g be a simple Lie algebra over the field C of complex numbers, with root system relative to a fixed maximal toral subalgebra h. Let S be a subset of the simple roots of , which determines a standard parabolic subalgebra of g. Fix an integral weight in h , with singular set J of simple roots. We determine when an infinitesimal block O(g, S, J) of parabolic category O_S is nonzero using the theory of nilpotent orbits. We extend work of Futorny-Nakano-Pollack, Brüstle-König-Mazorchuk, and Boe-Nakano toward classifying the representation type of the nonzero infinitesimal blocks of category O_S by considering arbitrary sets S and J, and observe a strong connection between the theory of nilpotent orbits and the representation type of the infinitesimal blocks. We classify certain infinitesimal blocks of category O_S including all the semisimple infinitesimal blocks in type An, and all of the infinitesimal blocks for F4 and G2. ····· 10361133176

Management of Perishable Inventory: A Mathematical Modelling Approach

für 53.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
During the last two decades, researchers are engaged in analyzing inventory models for deteriorating items such as volatile liquids, blood, medicines, fashion goods, fruits and vegetables etc. This book presents mathematically derived models to facilitate decision making and control of the inventory system of perishable items. Several economic and business factors are assumed and introduced in different models to capture real life situations and the optimal ordering policies are derived and examined therein. Analytical proofs are derived and hypothetical examples are used to show and support the solution procedures. Managerial insights are embedded in the observations and conclusion sections of each model. This book will be useful to researchers and practitioners of inventory modeling area to examine the effect of several factors like supplier credits / permissible delay in payments, price dependent demand, inflation, stock out costs, stock dependent demand etc on the ordering policies. Most importantly this book would surely serve as an initial guide for researchers with inventory control and mathematics interface. ····· 10361133139

Cryptography: Origin to Recent Advancement

für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
Cryptography is the study of methods of sending messages in disguised form so that only the intended recipients can remove the disguise and read the message. This book presents the origin of cryptography to its recent advancement. The first chapter of this book describes the private keys cryptosystem, the second chapter describes the public key cryptosystem. In third chapter are given clear ideas of elliptic curve cryptosystem and its problem on plotting points on the elliptic curve and discussion of deterministic algorithm.This book presents the problem of handling keys in private key cryptosystem and it links between private key and public key cryptosystem. In the private key cryptosystem, I clearly present RSA cryptosystem, Rabin cryptosystem, Elgamal cryptosystem, Massey Omura Cryptosystem, Diffine Hellman key Exchange protocol and elliptic curve cryptosystem. ····· 10361133038

4th Grade Mathematics Standards, Curriculum and Texts

für 35.91€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
There is very little research on Kindergarten through fifth grade mathematics education and even less that compares different countries. The motivating factor for this study was this paucity of research and the critical importance of mathematics education. Javnika Shah researched the area of study, compiled a literature review, collected data, and performed a cross-cultural comparison of two vast systems for teaching fourth-grade mathematics in the states of Minnesota (USA) and Gujarat (India)-analyzing standards, curriculum, and textbooks. ····· 10361132926

Stationary Forced KdV Equation

für 53.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
WHAT IS THE KDV EQUATION WHAT IS FORCED KDV EQUATION WHAT IS THE SOLITON WHAT IS STATIONARY FORCED KDV EQUATION WHAT IS SOLUTION OF THE FORCED KDV EQUATION WHAT IS THE SUPERCRITICAL SOLUTION OF THE FORCED KDV EQUATION THE STUDY OF THE SOLITON IS VERY IMPORTANT WHY SOLITON WAVE CAN USE IN COMMUNICATIONS HOW SOLITON WAVE CAN USE IN HAND PHONE HOW THIS BOOK CAN ANSWER ALL THESE EQUATIONS AND MORE LET US IN JOIN WITH SOLUTION OF THE FORCED KDV EQUATION ····· 10361132921

Approximation and Spectral Analysis For Large Structured Linear Systems

für 71.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
In this work we are interested in standard and less standard structured linear systems coming from applications in various fields of computational mathematics and often modeled by integral and/or differential equations.Starting from classical Toeplitz and Circulant structures,we consider some extensions as g-Toeplitz and g-Circulants matrices appearing in several contexts in numerical analysis and applications.Then we consider special matrices arising from collocation methods for differential equations:also in this case, under suitable assumptions we observe a Toeplitz structure.More in detail we first propose a detailed study of singular values and eigenvalues of g-circulant matrices and then we provide an analysis of distribution of g-Toeplitz sequences.When possible,we consider Krylov space methods with special attention to the minimization of the computational work.In that case, crucial issues are the convergence speed of this iterative solver,the use of special techniques(preconditioning,multilevel techniques)for accelerating the convergence,and a careful study of the spectral properties of such matrices.We study the asymptotic behavior of spectral radii of collocation matrices ····· 10361132901

A Comparative Study for the Handwritten Digit Recognition Problem

für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
A classic problem in the field of pattern recognition is that of handwritten digit recognition. The heart of the problem lies within the ability to design an efficient algorithm that can recognize digits written and submitted by users via a tablet, scanner, and other digital devices. Previous studies have shown that the digits can be modeled as points in a high dimensional space which can adequately approximated by linear structures. In Chapters 2 and 3, we present two previously established algorithms rooted in two distinct geometric frameworks. In Chapter 4, we introduce a novel approach to the problem based on the linear structure that arises for the Grassmann manifold. From this framework, we developed three separate algorithms. We then tested our algorithms on the publicly available MNIST database and benchmarked our results with the algorithm described in Chapters 2 and 3. Without any preprocessing of the images, one of the Grassmann-based algorithms simultaneously achieved the highest classification rate and one of the fastest processing times. ····· 10361132801

Vector Analysis

für 35.91€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
The book entitled `Vector Analysis` has been written to meet the requirements of Bachelor of Computer Application students. The book covers almost the entire syllabi of different Universities. The subject matter has been discussed in such a simple way that the students will find no difficulty to understand it. The book contains a large number of solved examples so that the students may understand the subject easily. A set of exercises is given at the end of each chapter so that the students may have enough practice in the subject. ····· 10361132727

Search Problems and Bounded Arithmetic

für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
In the intersection of mathematical logic and computer science, this book investigates the search problems and reducibilities among them that have known or potential relevance to bounded arithmetic theories. The same structures are viewed from two very different angles: that of computational complexity, and that of sets of low complexity consequences of weak logical theories, bounded arithmetics. Two distinct techniques of characterization of such sets by search problems are presented, with Herbrand`s theorem at the root of both. Additional attention is paid to search problems from the minimization family, although their logical counterparts are mostly still to be discovered. In this way, the two worlds throw light onto each other. ····· 10361132468

Some Statistical Properties of Quantum Optics

für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
The aim of this book is to present the fundamental concepts and properties of quantum mechanics, in particular the field of quantum optics. In this book we have studied some extensions and generalizationsof the Jaynes-Cummings model JCM for the radiation-matter interactions. We have reviewedthe JCM and its various modifications and some important quantum characteristics.The interaction of two two-level atoms with a single mode cavity field is studied. The interaction of a four-level rubidium atom and one mode field in a cavity in the presence of intensity dependent coupling between the field and the atom is presented. The interaction of a moving four-level rubidium atom with two-mode cavity field in an additional Kerr medium has been studied. Some non classical statistical properties of a model for the interaction between a four-level atom with a three-mode field in a cavity containing a Kerr-like medium are investigate. ····· 10361132371

Extending The Linear Diophantine Problem

für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
Given integer-valued relatively prime `coins` a1 a2 ::: ak, the Frobenius number is the largest integer n such that the linear diophantine equation a1m1 + a2m2 + ::: + akmk = n has no solution in non-negative integers m1 m2 ::: mk. We denote by g(a1 ::: ak) the largest integer value not attainable by this coin system. That is to say that any integer x greater than the Frobenius number g(a1 ::: ak) has a representation x = a1x1 + a2x2 + ::: + akxk by a1 a2 ::: ak for some non-negative integers x1 x2 ::: xk. We say x is representable by a1 a2 ::: ak. While it is obvious that there are representable positive integers and non-representable positive integers, must there be a largest non-representable integer Maybe there are indefinitely large non-representable integers for a1 a2 ::: ak with gcd (a1 a2 ::: ak) = 1. This notion of whether or not the Frobenius number is well-defined will be the first bit of mathematics we look at in this paper. Proposition 1.1. The Frobenius number g(a1 ::: ak) is well-defined. Proof. Given a1 a2 ::: ak with gcd (a1 a2 ::: ak) = 1, the extended Euclidean algorithm gives that there exist m1 m2 ::: mk 2 Z such that... ····· 10361132218

Bottleneck Just-in-Time Sequencing

für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
Due to today s competitive automotive industrial challenges of providing a variety of products at a very low cost by smoothing productions on a flexible transfer line, one of the most fertile research topics in Industrial Mathematics is to penalize jobs both for being early and for being tardy. A problem is to determine a production sequence for producing different types of products on the line. Just-in-Time (JIT) mixed-model production system is used to address this problem, which involves producing only the right products of different models of a common base product in evenly balanced sequences in the exact quantities, at the right times, at the right place. For the bottleneck PRVP, a binary search technique is used to test the existence of a perfect matching and thereby to get optimal sequence. In this book, we study several algebraic structures, properties, existence of cyclic solutions, applications of bottleneck PRVP and some results of ORVP. An optimal sequence for an instance of max-absolute PRVP is obtained. A comparative study of different objectives is also summarized. Moreover, several directions for further research are explored including some emerged conjectures. ····· 10361132054

Evaluating Human and Organizational Factors in Complex Operations

für 61.20€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
The book presents the development of a simulator for approaching human errors in complex operational frameworks (e.g., plant commissioning, Air traffic management etc.). The aim is to integrate the quantification capabilities of the so-called first-generation human reliability assessment (HRA) methods with a cognitive evaluation of the operator. The simulator allows analysing both error prevention and error recovery. It integrates cognitive human error analysis with standard hazard analysis methods (Hazop and event tree) by means of a semi static approach . The comparison between the results obtained through the proposed approach and those of a traditional HRA method such as human error assessment and reduction technique, shows the capability of the simulator to provide coherent and accurate analysis. ····· 10361131860

Hosoya Polynomials and Wiener Indices of Distances in Graphs

für 53.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
In this work, we deal with three types of distances, namely ordinary distance, the minimum distance (n-distance), and the width distance (w-distance). The ordinary distance between two distinct vertices u and v in a connected graph G is defined as the minimum of the lengths of all u-v paths in G, and usually denoted by dG(u,v), or d(u,v).The minimum distance in a connected graph G between a singleton vertex v belong to V and (n-1)-subset S of V , n 2, denoted by dn(u,v) and termed n-distance, is the minimum of the distances from v to the vertices in S.The container between two distinct vertices u and v in a connected graph G is defined as a set of vertex-disjoint u-v paths, and is denoted by C(u,v). The container width w = w(C(u,v)) , is the number of paths in the container, i.e.,w(C(u,v)) = C(u.v) . The length of a container l = l(C(u,v)) is the length of a longest path in C(u,v).For every fixed positive integer w, the width distance (w-distance) between u and v is defined as: dn (u,v G)= min l(C(u,v)) ,where the minimum is taken over all containers C(u,v) of width w. Assume that the vertices u and v are distinct when w 2. ····· 10361131837

The Effect of Noise in the Cochlea

für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
Mathematical model describing the effects of noise in the cochlea is formulated. We showed that this model could correctly describe the deformation of the basilar membrane and the fluid motion.The plate equations are obtained from the three dimensional equations of the linearized director theory of the elastic plate. The resultant equations completely agree with those obtained previously for an elastic cosserat plate. It is important to note here, that we neglected the equations for the directors.We confined our attention to the steady state response of the system to noise in solving both the potential flow and equation of motion of the plate (basilar membrane).The solutions were computed and they showed the sinusoidal spiking waveforms. This book, therefore, provides the missing link between abstract mathematics and its application to the human body especially the effect of noise which is often neglected. The analysis should help shed some light on this new and exciting area in mathematics, and should be especially useful to professionals and researchers in the field or anyone else who may be considering utilizing online communities for mathematics efforts. ····· 10361131829

Cooperative Games and Their Solutions

für 53.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
This book describes the development on the theory of solutions in the cooperative games. Certain developments took place in the sixties and seventies. However the subject had a few interesting developments in the eighties though those developments were not studied enough during that period. However the author and a few others took notice of those developments and added considerable amount of knowledge to the area. The present monograph is a record of those contributions to the subject of Cooperative Game Theory. The area is still active and more developments and addition to knowledge is expected in the near future. This book is suitable for Master degree level students as well as the researchers. Some of the results and the proofs are from first principle and suitable for inclusion into a Master Degree program. ····· 10361131788

Generalized Fibonacci Sequences

für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
The book entitled `Generalized Fibonacci sequences` has been written to meet the requirements of research scholars of Mathematics. This text provides an introduction to the generalized Fibonacci sequences that are typically encountered (and used) in Mathematics and Engineering research scholars.The amount of literature bears witness to the ubiquity of the Fibonacci numbers. Not only are these numbers popular in expository literature because of their beautiful properties, but also the fact that they `occur in nature` adds to their fascination. The Fibonacci sequence and generalized Fibonacci sequence are a source of many nice and interesting identities. These numbers are of great importance in the study of many subjects such as algebra, geometry, combinatorics, approximation theory, graph theory and number theory itself. They occur in a variety of other fields such as finance, art, architecture, music, etc. Fibonacci sequence has been generalized in a number of ways. This book is centered on generalization of Fibonacci sequences. ····· 10361119742

The equation ax = bx + c

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Planar nearrings are nearrings with the property that it solves equations ax = bx + c whenever there is some u such that au and bu are different. They are proven to be rich in applications, in other mathematics areas and beyond. This book provides an introduction to the subject and its connections to combinatorics and geometry. Starting from nine problems, ideas are formed and different combinatorial and geometrical objects are defined. These problems are solved when various properties of planar nearrings are developed. The book will be suitable for senior undergraduates and beginning graduate students in mathematics. The material is presented in a clear and elementary manner. Appendix provides some background material on basic algebra. ····· 10361119672

Mathematic and Semiotic Theory of Ideological Systems

für 71.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
The book tried to make a logical, mathematical (algebraic, topologic, etc.) and semiotic approach to one of the greatest problems of the humanity: the belief systems, mainly the ideological ones, their transmission and materialization. The very mention of belief calls to sociology of religion to mind, but belief is a general social process, and it is no correct to restrict the study of belief to religious institutions. The authors thought that this is a systemic theory of belief, not a psychology, social psychology or phenomenology of belief. It is, rather, an attempt to approach a fascinating empirical and theorical problem from a purely sociological framework. Thus, rather than focusing on the believer and the social supports for his beliefs, we have focused on the things believed, and their relations to social organization. This book is particularly aimed at applied mathematicians who are interested in the field of sociology. Also is aimed at mathematicians or linguists with special interest in the field of mathematical linguistics and semantics and to a lesser degree to sociologists, economists, theorists, philosophers and even political education. ····· 10361119631

Orthogonal Polynomial Approximations for Solving ODEs

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This work includes a brief summary on differential equations which treated by the numerical solutions ,also it shows the classification of the ordinary differential equations with either integer or fractional order. It introduces powerful idea which is fractional differentiation matrix for solving the ordinary fractional differential equations.Beside, it introduces some numerical examples to confirm the accuracy and also the solution of initial and boundary value problems of fractional differential equations. ····· 10361119558

Biomechanical System Modeling and Smoothing

für 53.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
Biomechanical System Modeling has recently been studied deeply to fulfil the demand to design several tools or vehicles that suit the dynamics of human body. Control of these vehicles or tools has to be simulated before the real implementation can be produced. Smoothing the tool motion is one of the issues to be considered carefully as human motion is normally moved smoothly. Computational optimal control can be used as an approach to simultaneously construct a biomechanical system model and smooth the motion and control of the biomechanical system. ····· 10361119497

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