Mathematics - General

Marks' first lessons in geometry; In two parts. Objectively presented, and designed for the use of primary classes in grammar schools, academies, etc., has been regarded as significant work throughout human history, and in order to ensure that this work is never lost, we...

Remedial Mathematics provides a comprehensive resource for educators, students, and policymakers involved in remedial mathematics education. Through collaboration with experts, this book covers topics such as diagnostic assessment, instructional strategies, curriculum design, technology integration, differentiated instruction, and socio-emotional support for learners. With theoretical insights...

"Modern Trigonometry" provides a comprehensive overview of trigonometric principles, techniques, and applications in contemporary mathematics and scientific inquiry. Through collaboration with experts, this book covers topics such as trigonometric functions, identities, equations, vectors, complex numbers, Fourier analysis, and applications in fields such as physics,...

This book is timely because of the increasing popularity of minimally invasive and cost effective methods to ablate solid tumors. Medical image guided ablation using thermal energy sources such as radio-frequency, microwave, laser, high-intensity focused ultrasound, and cyrogenics have received much recent attention as...

"Machine Learning for Cybersecurity: Threat Detection and Mitigation" delves into the transformative role of machine learning in addressing contemporary cybersecurity challenges. This reprint provides an in-depth exploration of how advanced techniques such as deep learning, natural language processing, and explainable AI are revolutionizing intrusion...

Mathematical data science is a field that combines mathematical techniques with data science methods to extract insights and knowledge from data. It involves working with data at all stages of the data lifecycle, from collection and storage to cleansing and processing, the analysis and...

Almost all real-world systems are inevitably subject to random structures, parameters, and noises, and stochastic systems have been playing increasingly important roles in all areas of science and engineering.The purpose of this Special Issue is to solicit the recent achievements of control theory and...

This Special Issue presents recent developments in the field of structures on manifolds and their submanifolds. This volume covers a vast range of topics, including twister product Hermitian manifold, Legendrian warped product submanifold, Bertrand curve pair, CR-slant warped product, RW spacetime, Li-Yao-type gradient, Ricci-Yamabe...

Due to rapid developments in computing, communication, and sensing technology, multi-agent systems have become increasingly ubiquitous. Their applications include mobile sensor networks, autonomous vehicles, intelligent transportation systems, and smart grids. The complex unknown environment and inaccurate dynamics prose additional challenges for the modeling, control,...

The ninth edition of the International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2021) was organized to take place on 13-16 June 2021. Due to the pandemic, COUPLED 2021 was a fully online and completely synchronous conference. The...

This reprint comprises a compilation of 15 insightful research papers published in the Special Issue "Applied Statistical Modeling and Data Mining" within the Mathematics journal. Spanning multiple domains at the intersection of statistics, machine learning, and real-world applications, the collection presents diverse perspectives and...

Nowadays Hilbert Transform is used not only in Communication but also in Wind Engineering. As the day progresses, the new utility of Hilbert transform is getting high.This book is basically on the fundamental concept of Hilbert Transform and its application in Engineering Sciences and...

One of the remarkable mathematical inventions of the 20th century is that of Fuzzy sets by Lotfi.A.Zadeh in 1965. His aim was to develop a mathematical theory to deal with uncertainty and imprecision. Fuzzy logic and the theory of fuzzy sets have been applied...

This work mainly focuses on different distance concepts in fuzzy graphs. The properties of δ- distance, -distance and g-distance are studied and defined ss-distance in a connected fuzzy graph. A study of g-distance in a fuzzy tree and its associated maximum spanning tree is...

Recently, graphs have been studied and applied in various math and science fileds. In this monograph, we consider graphs with fractal property. Starting with graphs (combinatorial objects), we construct the corresponding groupoids (algebraic objects). The fractal property of graphs and groupoids is detected by...

The dynamics of smile surface lead practitioner and researcher to introduce the randomness in the implied volatility, which is are specific in option markets. The monograph develops a risk-neutral stochastic At- the-Money implied volatility model and its applications. Three characteristics of implied volatility are...

This work pertains to modern, interdisciplinary research trends in nanomaterials. The author presents a novel method with major potential for various applications such as ferromagnetic brakes and valves; nanosized shock absorbers, and in the medical field, heart valves and medical nanorobots. A mathematical model...

Homological algebra generalizes the construction of (co-)homology theory of topological spaces, making it available for algebraic theories. In a similar vein, the homotopy theory of modules attempts to imitate topological homotopy theory. A discussion of the categorical notion of duality precedes the definition of...

A realistic deterministic demographic model that captures the pattern of inheritance of the gene responsible for the most common genetic defect is formulated using general pair formations and analyzed using various approaches including a numerical semi-discretization scheme. The patterns of inheritance of the disease...

Modeling chemical reactions and mechanisms can be of great benefit to the chemical process industry. A typical chemical mechanism is a database composed of thousands of reactions involving a hundred or more species. A fundamental prerequisite of mechanism analysis and classification is the ability...

The crossed product construction provides a bridge between operator algebras and dynamical systems. For instance, it is known that two ergodic non singular dynamical systems are orbit equivalent if and only if their associated von Neumann crossed products are isomorphic. In the topological setting,...

The volatility smile phenomenon appears to violate the Black-Scholes model and has puzzled numerous scholars. This book uses the relation between the option vega and its moneyness to rigorously demonstrate that the price error alone can produce a smile phenomenon even if the Black-Scholes...

Security of data by means of cryptography is becoming more and more important in many areas of our lives. Public-key cryptosystems (PKC) form an important part of cryptography as they allow con-venient and secure communication between all users. The objective is to develop PKCs...

Author: Gabriel AyineISBN-10: 3639043073ISBN-13: 9783639043075Publisher: VDM VerlagLanguage: EnglishPublished: 12/08/2008Pages: 88Format: PaperbackWeight: 0.28lbsSize: 9.00h x 6.00w x 0.18d

Poincaré duality pairs of dimension n (PDn-pairs) are homotopy generalisations of n-manifolds with boundary. In particular, PD3-pairs represent the homotopy theory of 3-manifolds with boundary. Poincaré duality is an algebraic condition on the chain complex of the universal covering space of a CW-complex which...

The reflection group H_4 encodes the symmetries of the regular poly-tope called the 600-cell, which is a four-dimensional analogue of the icosahedron. The structure of H_4 has many interesting relations to a variety of topics of mathematics and physics. This book outlines the ideas...

For environmental data classical statistical analysis are often not useful which makes it necessary to find new methods to solve the resulting problems. To make it easier to understand the problems, and the solutions, for environmental data, this book tries to avoid mathematical formulae...

This book investigates the relationships between chaos theory, feminism, and postmodern literary theory, based on two premises. On the one hand, it considers the traditional view of hermetically distinct fields and disciplines no longer corresponding to what we may call postmodern experience. It articulates...

This book is concerned with the presentation of a general translation of term rewrite systems to logic programs such that basic rewriting derivations become logic deductions. In particular, this work is a review of a recent research paper on this very subject written by...

The book investigates graph groupoids and the path spaces associated with their unit spaces. Three main questions are solved. For the first, a natural question that was asked by A.Kumjian in the case of the Cuntz graph was how the topological space X relates...

Stationarity has always played an important part in forecasting theory. However, some economic time series show time-varying autocovariances. The question arises whether forecasts can be improved using models that capture such a time-varying second-order structure. One possibility is given by autoregressive models with time-varying...

In the modern society of the 21st century, science and technology are becoming increasingly em-bedded in the everyday life of people all around the world. Driggers (2011) stresses the importance of science and technology by pointing to the many times in history that these...

This work was based on the development of an analytical study of the Neutrosophic crisp set in terms of its algebraic structures. Since Florentin and the salama developed types of algebraic processes such as union, intersection, belonging and subsets as well as for the...

Numerical methods are a specific form of mathematics that involve creating and use of algorithms to map out the mathematical core of a practical problem. Numerical methods naturally find application in all fields of engineering, physical sciences, life sciences, social sciences, medicine, business, and...

Neutrosophic theory has representatives on all continent sand, therefore, it can be said to be a universal theory. On the other hand, according to the two volumes of "The Encyclopedia of Neutrosophic Researchers" (2016, 2018) about 150 researchers from 37 countries apply the idea...

The topic of this book is the mathematical and numerical analysis of some recent frameworks based on differential equations and their application in the mathematical modeling of complex systems, especially of living matter. First, the recent new mathematical frameworks based on generalized kinetic theory,...

In June 2019, the International Symposium on Atomic Structure and Oscillator Strengths for Fusion and Astrophysical Plasma Research (ASOS) held the 13th edition of this series. ASOS originated at the University of Lund, Sweden in 1983, and this was the first time that it...

This Special Issue deals with the theory and applications of differential and difference equations, and includes papers for different branches of differential equations, such as - Boundary Value Problems for Fractional Differential Equations and Inclusions - Spectral Theory for Fractional Differential Equations - Generalized...

This Special Issue contains novel results in the area of out-of-equilibrium classical and quantum thermodynamics. Contributions are from different areas of physics, including statistical mechanics, quantum information and many-body systems.Author: Gabriele de ChiaraISBN-10: 3039369989ISBN-13: 9783039369980Publisher: Mdpi AGLanguage: EnglishPublished: 09/04/2020Pages: 158Format: HardcoverWeight: 1.20lbsSize: 9.61h x...

Leonhard Euler (1707-1783) was born in Basel, Switzerland. Euler's formula is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. When its variable is the number pi, Euler's formula evaluates to Euler's identity....

This book is focused on fractional order systems. Historically, fractional calculus has been recognized since the inception of regular calculus, with the first written reference dated in September 1695 in a letter from Leibniz to L'Hospital. Nowadays, fractional calculus has a wide area of...

This Special Issue aims to be a compilation of new results in the areas of differential and difference Equations, covering boundary value problems, systems of differential and difference equations, as well as analytical and numerical methods. The objective is to provide an overview of...

ca. 200 words; this text will present the book in all promotional forms (e.g. flyers). Please describe the book in straightforward and consumer-friendly terms.[Mathematical optimization is the selection of the best element in a set with respect to a given criterion. Optimization has become...

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (,, ), where is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, is the opposite of, while is the neutral (or indeterminate) between them, i.e., neither nor ....

This book contains the successful invited submissions to a Special Issue of Symmetry in the subject area of "Fuzzy Techniques for Decision Making". We invited contributions addressing novel techniques and tools for decision making (e.g., group or multi-criteria decision making) with notions that overcome...

Mycotoxins are secondary metabolites produced by molds. Although the primary role of these toxins is thought to be related to the colonisation of the environment by the fungi--mycotoxins are able to kill other micro-organisms (antimicrobial effect) and/or plant cells (mycotoxin-producing fungi being necrophagic)--the exposure...

Rapid advances in modelling research have created new challenges and opportunities for statisticians. Statistical inference in observational studies and many other emerging fields have motivated statisticians worldwide to develop cutting-edge methods and analytical strategies.The aim of this book is to showcase the applications and...

The present text is an edited Special Issue in reprint form. This Special Issue took the opportunity to invite researchers to contribute their latest original research findings, which were either advances in the state-of-the-art of mathematical methods, theoretical studies, or experimental studies that extend...

This MDPI booklet lists the articles published in three Special Issues of the journal Mathematics devoted to special functions with applications in mathematical physics in the years 2020-2021.The call for papers considered theories and applications of high transcendental functions, including topics found mainly in...

The present book contains 14 papers accepted and published in the Special Issue of the MDPI Mathematics journal, entitled "Fuzzy Logic and Soft Computing - Dedicated to the Centenary of the Birth of Lotfi A. Zadeh (1921-2017)", which covers a wide range of topics...