Modeling and Simulation of Environmental Systems
This book presents an overview of modeling and simulation of environmental systems via diverse research problems and pertinent case studies, covering air pollution modeling, sustainable water resources modeling, IoT based applications in environmental systems, and future algorithms and conceptual frameworks in environmental systems.
Spline Approch for Solution of Fluid Flow Problems
The book on the numerical solution of Magnetohydrodynamic (MHD) fluid flow problems using the spline collocation method provides a comprehensive exploration of how spline functions can be applied to solve complex MHD equations. It covers the fundamentals of MHD, where fluid dynamics and electromagnetism intersect, and introduces spline collocation as an efficient numerical technique for approximating solutions. The book details the method's application in various MHD problems, emphasizing its accuracy and computational efficiency. Through examples and case studies, the text illustrates how the spline collocation method can effectively handle boundary layers, singularities, and other challenges typical in MHD fluid flow analysis.
Evolutionary Computation
Evolutionary computation offers powerful problem-solving methodologies inspired by models of natural genetics and evolutionary processes. Potential applications are wide-ranging and include problems related to combinatorial optimization, numerical optimization, multi-objective optimization, and others, as well as specific applications of these problems in diverse domains, such as engineering, design, medicine, robotics, science, etc. Techniques from evolutionary computation often lend themselves well to parallel and distributed implementations and are often more effective in dealing with challenging problem characteristics such as non-linearity and high dimensionality than alternative approaches. This Special Issue brings together recent advances in the theory and application of evolutionary computation.
Theory of Distributions
The Theory of Distributions, also known as the theory of generalized functions, is a mathematical analysis framework extending the classical notion of functions and derivatives. Introduced by Laurent Schwartz in the mid-20th century, this theory addresses limitations in traditional function analysis, particularly in handling functions that are not differentiable in the classical sense. Distributions generalize functions by defining them as continuous linear functional on a space of test functions, typically smooth and rapidly decreasing functions. This approach facilitates the rigorous treatment of objects like the Dirac delta function, which is pivotal in various applications across physics and engineering. Distributions are integral in solving differential equations, especially in contexts where classical solutions may not exist or be easily identifiable. They enable the extension of operations such as differentiation and convolution to a broader class of objects, thereby providing a robust toolkit for addressing problems in partial differential equations, signal processing, and quantum mechanics.
Mathematical Methods Applied in Artificial Intelligence and Multi-Agent Systems
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, and optimization of such systems. Therefore, data science and machine learning are providing opportunities to develop artificial intelligence-based methods and enable new control and optimization paradigms for multi-agent systems. The aim of this Special Issue is to bring together significant developments in the interface between machine learning, neurodynamics, and swarm intelligence.
Utility of Quaternions in Physics
Utility of Quaternions in Physics, a classical book, has been considered important throughout the human history, and so that this work is never forgotten we at Alpha Editions have made efforts in its preservation by republishing this book in a modern format for present and future generations. This whole book has been reformatted, retyped and designed. These books are not made of scanned copies of their original work and hence the text is clear and readable.
Didactic games
This book arose from the desire and need to make maths lessons more attractive, interesting and enjoyable for both teachers and students. We are using didactic games as a way of intervening in maths lessons to try to reduce or solve the difficulties that students have in this subject. Our intention is to contribute to a reflection on the teacher's didactic-pedagogical action in order to improve the teaching-learning process in Maths, bringing about more meaningful learning, suggesting games as a teaching strategy that will reduce the existing blockages between the student and this subject, as well as reporting on some classroom experiences.
Journal of Applied Logics. The IfCoLog Journal of Logics and their Applications. Volume 15, issue 5, October 2024. Special Issue
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 free open access, and available via the College Publications website. This Journal is open access, puts no limit on the number of pages of any article, puts no limit on the number of papers in an issue and puts no limit on the number of issues per year. We insist only on a very high academic standard, and will publish issues as they come.
Problems and elegant solutions in mathematical analysis
This is a mathematical reference book for students, graduates and researchers who are interested in the challenging problems as the extreme of function, equation and series arising in the mathematical analysis. The book aims at encouraging those who were accustomed to standard calculation to be interested in solution of more challenging problems such as differential equation, integral equation and series. This research paper is the limit part of "challenging problems and elegant solution in mathematical analysis" to continuity of limit part, integral part and equation part. It can be widely used by students in mathematics and physics, and everyone who is interested in mathematical analysis. It is certain that this will be contributed to the students, the graduates and researchers who are going to mathematically analyze the physical situations arise in advanced science and technology.
Euclid Transmogrified
This book tells the extraordinary story of how in the mid twentieth century, in a well-developed European country, a mathematically solid system of geometry was altered to such an extent that more than one million students were taught foundationally flawed geometry over more than a quarter of a century. The almost unbelievable situation came about in Ireland in the wake of early postcolonial developments that gave rise to an impressionable and unqualified civil service in a position of power over a nation's educational development. This is a multifaceted tale of a perfect storm within mathematics development in Ireland whose result was so destructive that its ramifications continue to be felt into the twenty-first century, forty years after a report of a Royal Irish Academy commission of professors of mathematics described the matter as a national scandal. Euclid Transmogrified: A National Scandal may be of interest to mathematics teachers, lecturers in mathematics, mathematical historians, lecturers in education, students of mathematical education, administrators of mathematical education, science administrators, science journalists and those educated in mathematics in Ireland, especially those born between 1954 and 2000. https: //sites.google.com/view/euclidtransmogrified1
Applications of partial differential equations in plasma physics I
Authors introduced advanced applications of partial differential equations in plasma physics using analytical methods based on Boltzmann-Maxwell equations. The book creates theoretical tools for predicting and controlling plasma behavior in many outstanding applications. In the study was introduced a new mathematical model for calculating the thermodynamic forces, kinetic coefficients, and flux variables as two new scientific achievements. Secondly, with reasonable accuracy, was determined the thermodynamic equilibrium time of electrons under an external force. Authors clarify the difference between an equilibrium velocity distribution function and a perturbed one. The book introduces the extended Gibbs equation, which predicts ratios between various contributions to the internal energy change for diamagnetic and paramagnetic plasmas. A standard laboratory argon plasma model is used to apply the results. It advances our understanding of plasma physics and holds immense potential for practical applications in aerospace engineering, plasma technology, and materials science. This book lays the groundwork for future innovations and technological advancements in plasma.
Mathematical Logic
The book "Mathematical Logic" has been meticulously prepared to serve the students of the B.A./ B.Sc./ B.Com. third semester (As per NEP-2020 new syllabus) Mathematics skill enhancement course under Dibrugarh University. Mathematical logic is a fundamental course in undergraduate mathematics, providing essential tools and concepts that are foundational for further studies in the field. This book covers all the topics outlined in the syllabus.
Methods of Graph Decompositions
In general terms, a graph decomposition is a partition of a graph into parts satisfying some special conditions. Methods of Graph Decompositions discusses some state-of-the-art decomposition methods of graph theory, which are highly instrumental when dealing with a number of fundamental concepts such as unigraphs, isomorphism, reconstruction conjectures, k-dimensional graphs, degree sequences, line graphs and line hypergraphs. The first part of the book explores the algebraic theory of graph decomposition, whose major idea is to define a binary operation that turns the set of graphs or objects derived from graphs into an algebraic semigroup. If an operation and a class of graphs are appropriately chosen, then, just as for integers, each graph has a unique factorization (or canonical decomposition) into a product of prime factors. The unique factorization property makes this type of decomposition especially efficient for problems associated with graph isomorphism, and several such examples are described in the book. Another topic is devoted to Krausz-type decompositions, that is, special coverings of graphs by cliques that are directly associated with representation of graphs as line graphs of hypergraphs. The book discusses various algorithmic and structural results associated with the existence, properties and applications of such decompositions. In particular, it demonstrates how Krausz-type decompositions are directly related to topological dimension, information complexity and self-similarity of graphs, thus allowing to establish links between combinatorics, general topology, information theory and studies of complex systems. The above topics are united by the role played in their development by Professor Regina Tyshkevich, and the book is a tribute to her memory. The book will be ideal for researchers, engineers and specialists, who are interested in fundamental problems of graph theory and proof techniques to tackle them.
Lexy and Kaylee's Advanced Nurikabe for Adults and Teens Volume Two
From the creators of Lexy and Kaylee's Canine Coloring Book for Children series now have put together an activity book for Adults and Teens. Inside there are 52 advanced 24x24 Nurikabe Puzzles in an easy to carry 6 x 9 format. Great for taking with you on plane and train rides or to sit at the beach or by the pool.Nurikabe is a logic puzzle that originated in Japan. The puzzle is named after a mythical creature from Japanese folklore, believed to create invisible walls to block travelers. Here's an overview of its history and how it has evolved: Origins and Development: The name "Nurikabe" is derived from a Japanese folklore creature that is said to appear as an invisible wall obstructing travelers' paths. This connection to the mythical creature adds a cultural layer to the puzzle's identity. The exact origins of the Nurikabe puzzle is not well-documented, but it is known to have been popularized by the Japanese puzzle company Nikoli. Nikoli has been instrumental in developing and spreading various types of logic puzzles, including Sudok. Nurikabe was first introduced in Nikoli's Puzzle magazine in the late 20th century. The puzzle quickly gained a following among puzzle enthusiasts in Japan and later internationally.Spread and Popularity: Like many other logic puzzles, Nurikabe became popular in Japan through Nikoli's publications. Japanese puzzle solvers appreciated its unique challenge and engaging nature. Nurikabe began to spread outside Japan in the early 21st century as puzzle enthusiasts and publishers in other countries discovered it. The rise of the internet and puzzle apps contributed significantly to its global popularity. Nurikabe is now available on various online puzzle platforms and mobile apps, allowing a global audience to enjoy the puzzle.Mechanics and Rules: Nurikabe is played on a rectangular grid, with some cells containing numbers. The goal is to shade specific cells to form a continuous "wall" while leaving the remaining cells as "islands."Cultural and Educational Impact: Nurikabe has a dedicated following among puzzle enthusiasts. It is often featured in puzzle magazines, websites, and competitions. The puzzle is also used in academic settings to teach logical reasoning and problem-solving skills. Its unique rules and requirements make it an excellent exercise in spatial awareness and deductive logic.Variations and Adaptations: Over time, different variations of Nurikabe have emerged, introducing new challenges and twists to the original rules. Some puzzles may have different grid shapes or additional constraints to increase difficulty. Nurikabe has also inspired hybrid puzzles that combine their elements with other logic puzzles, creating new and innovative challenges for solvers.Nurikabe is a logic puzzle deeply rooted in Japanese culture and folklore. It has grown in popularity both in Japan and internationally, thanks to its challenging nature and the efforts of puzzle publishers like Nikoli. Today, it continues to be a beloved puzzle enjoyed by many worldwide.
Modeling of biomechanical heat transfer in human physiology
This book explores the intricate connections between various disciplines such as anatomy, physiology, neurology, and the biomechanical aspects of heat transfer within the human body. It highlights the significant overlap between kinesiology, the systematic study of human movement, and biomechanics, particularly in analyzing movement patterns, enhancing physical performance, and addressing mechanical factors underlying injuries and diseases. The primary objectives include optimizing physical performance and understanding injury processes for prevention strategies. Biomechanics, as delineated in the book, comprises two principal sections: kinematics and kinetics. Kinematics involves the detailed description of motion, encompassing movement patterns and the sequencing of body segments that influence coordination and performance outcomes. In contrast, kinetics investigates the causes of motion, particularly the forces acting on the body. This distinction underscores kinetics' focus on force analysis, setting it apart from kinematics which primarily concerns itself with describing motion patterns.
Contributions to the Theory of Special Functions and Number Theory
The author has given a brief introduction of an all-time great Mathematician Srinivasa Ramanujan, the man who reshaped twentieth-century mathematics with his various contributions in several mathematical domains, including Mathematical analysis, Infinite series, Continued fractions, Number theory and Game theory.He has established new general theorems for the explicit evaluations of Ramanujan's remarkable product of theta function and their new explicit assessment.He has also established several new P - Q eta-function identities which were obtained, leading to several new modular relations for the Ramanujan-G繹llnitz-Gordon continued fraction.He has obtained a continued fraction of order 12 and evaluated several new identities analogous to the Rogers-Ramanujan continued fraction and Ramanujan's cubic continued fraction.He has derived some new modular equations of degree 5 for the ratios of Ramanujan's theta function and new modular relations for Ramanujan's parameters related to Rogers-Ramanujan's continued fraction were also established along with their explicit evaluations.
Some Studies on Theta Functions and Their Related Identities
The author has given a brief introduction of an all-time great Mathematician Srinivasa Ramanujan, the man who reshaped twentieth-century mathematics with his various contributions in several mathematical domains, including Mathematical analysis, Infinite series, Continued fractions, Number theory and Game theory.He has established several interesting and new explicit evaluations for newly defined parameters by using Ramanujan Weber class invariants, modular equations and mixed-modular equations.He has established several new explicit evaluations of Ramanujan's remarkable product of theta-function.He has established some new general theorems for explicit evaluations of the product of theta-function.He has derived several general formulas for explicit evaluations of Ramanujan's cubic continued fractions, reciprocity theorems, two formulas connecting V(q) and V(q3) and also established some explicit evaluations using the values of the remarkable product of theta-function.He has obtained a modular transformation formula for the theta-function.
Mathematical Methods for Operations Research Problems
This reprint of the Special Issue in the journal Mathematics presents research in the area of Operations Research. The subjects addressed in the 15 research papers cover a broad spectrum of subjects, such as machine learning, scheduling, timetabling, or graph theory.
Fuzzy Optimization Techniques in the Areas of Science and Management
This book helps to enhance the application of fuzzy logic optimization in the areas of science and engineering. It includes implementation and modeling paradigms such as path planning and routing design for different wireless networks, organization behavior strategies modeling, and so forth.
High Dimensional Space to Formulate Marriage and Birth Functions
The reaction-diffusion system describes the fertility decline process, elaborating where and when fertility declines and analyzes how to slow down the fertility decline using Brittany as a testing ground. The model used suggests that our behaviors are not governed by our conscious wills but by surrounding environment.
Quantitative Literacy Through Games and Gambling
This book was developed to address a need. Quantitative Literacy courses have been established in the mathematics curriculum for decades now. The students in these courses typically dislike and fear mathematics, and the result is often a class populated by many students that are unmotivated and uninterested in the material.
The Extension of Fixed Point Theorems in Various b-Metric Spaces
This book entitled "The Extension of Fixed Point Theorems in Various b-Metric Spaces" is divided into following 8 chapters Chapter - I: The first chapter is an introductory part of our research work which includes the brief introduction of our topic.Chapter - II: Our second chapter titled as "Fixed Point Results for Various Contractions in b-Metric Spaces." Chapter - III: The chapter third having the title "Common Fixed Point Theorem in b-Metric Spaces for Compatible Mapping of Type (A)"Chapter - IV: The fourth chapter titled as, "Common Fixed Point Theorems for Two Self Compatible Mapping Satisfying an Implicit Relation of b-Metric Spaces." Chapter - V: The Chapter five titled as, "Existence of Fixed Point Theorem of Integral Type Contractions in b-Metric Spaces". Chapter - VI: Chapter six titled as "Coupled Coincidence Fixed Point Theorem in Two Weakly Compatible Mapping in b-Metric Spaces ".Chapter - VII: The seventh chapter titled as "Coincidence and Common Fixed Point Theorem using Compatible Mapping of Type (P) in Intuitionistic Fuzzy b-Metric Spaces" Chapter - VIII: Our last chapter titled as "Some Generalized Theorems of q-Contraction in Symmetric Nb-Fuzzy Metric Spaces".
Handbook on Affective Interest in Mathematics
In Nigeria, mathematics holds a pivotal role as a mandatory subject in both primary and secondary education. Mathematics, as an academic discipline, delves into the realms of numbers, shapes, patterns, and their intricate relationships. It equips learners with the vital ability to communicate using symbols and logical reasoning, fostering logical thinking, precision, and spatial awareness (Arhin & Yanney, 2020). Mathematics is regarded as one of the core prime instruments for understanding and exploring the scientific, technological, economic, and social and information world. Science, Technology, Engineering and Mathematics (STEM). Mathematics education is considered as a precious way to make the education system keep up with the developments and to meet the expectations of 21st century skills (Kazu & Cemre, 2021; Ghazali, & Yusof, 2022).
Series and functional series associated with harmonic numbers
The book has five chapters. Chapter 1 gives the basic knowledge needed to understand the contents of this book. Chapter 2 describes several interesting formulas related to harmonic numbers. In Chapter 3, the series problems involving several kinds of harmonics in the general terms are shown together with the solution to these problems can be found in mathematical references dealing with difficult problems. Chapter 4 presents the problem of multiple series involving several kinds of harmonics in general terms with solutions. Chapter 5 presents interesting challenges and open problems involving harmonic numbers in general terms.Since we have raised a number of interesting problems and various technical problems to solve them, this book will be a good reference not only for those specializing in mathematics, but also for those specializing in physics or other natural sciences.
Fractional Calculus in Medical and Health Science
This book covers applications of fractional calculus used for medical and health science.
Digital resources in mathematics teaching
This book shows the work of designing and then implementing a Virtual Teaching and Learning Space (EVEA) that allows students to learn mathematical knowledge through the appropriate use of different technological resources. This proposal is aimed at 4th year students of the Oriented Cycle and is intended to teach with technology, through an easily accessible platform such as Classroom, organizing knowledge by topics and providing interactive resources where students, through ICT and virtual classes, are expected to acquire autonomy and commitment in their work, giving account of the concepts learned through the different activities proposed. In this way, students are expected to play an active role in their learning process, the teacher being a mediator of knowledge and a moderator in the proposed classes. We seek to design pedagogical actions by means of technological resources that allow the acquisition of minimum knowledge in conjunction with the students' interests, promoting activities that allow the construction of significant knowledge.
Visualisation and Epistemological Access to Mathematics Education in Southern Africa
This book demonstrates that using visualisation processes in mathematics education can help to enhance teaching and learning and bridge the inequality gap that exists between well-resourced and under-resourced schools in Southern Africa. Drawing on classroom research conducted in the Southern African region, it examines how epistemological access in a context of gross inequality can be constructively addressed by providing research-based solutions and recommendations. The book outlines the visualisation process as an integral but often overlooked process of mathematics teaching and learning. It goes beyond the traditional understanding of visualisation processes such as picture forming and using tools and considers visualisation processes that are semiotic in nature and includes actions such as gestures in combination with language. It adds value to the visualisation in mathematics education research discourse and deliberation in Africa.With a unique focus on Southern Africa and open avenues for further research and collaboration in the region, it will be a highly relevant reading for researchers, academics and post-graduate students of mathematics education, comparative education and social justice education.
Homogeneous Projective Varieties and Invariant Theory
The general theme of this book is the interplay between the geometry of homogeneous complex projective varieties, the structure and representation theory of their symmetry groups, and more specifically, invariant theory related to subgroups of the symmetry groups. The framework is based on the Borel-Weil theorem and the Geometric Invariant Theory of Hilbert-Mumford. The setting is classical and the basic objects of interest are widely studied. A source of unanswered questions lies in the notorious nonconstructiveness of Hilbert's theorem asserting the existence of a finite generating set for the ring of invariants in the homogeneous coordinate ring of a complex projective variety endowed with a reductive group action. The goal of this work is to contribute to the effort for further development of the structure theory of reductive Lie groups, aiming to bound and explore the variation of certain parameters related to generating sets of invariants. Particular attention is given to the geometry of unstable loci - the zero-loci of the invariants of positive degree.
Logic as a Tool
This textbook, written in a concise yet user-friendly style, will guide the reader in understanding and mastering the use of classical logic as a tool for performing logically correct reasoning. It offers a systematic and precise exposition of classical logic on both propositional and first-order level with many examples and exercises and only the necessary minimum of theory. Most of the exercises are provided with answers or detailed solutions.The book explains the grammar, semantics, and use of classical logical languages and teaches the reader how to grasp the meaning and translate the formulae of classical logic to and from natural language. It illustrates with many detailed examples the use of the most popular deductive systems - axiomatic systems, semantic tableaux, natural deduction, and resolution - for formalizing and automating logical reasoning and provides the reader with the technical skills needed for practical derivations. Systematic guidelines are offered on how to carry out logically correct and well-structured reasoning using the proof strategies and techniques that these deductive systems employ.The book is accompanied with a set of detailed slides available online and can be used as a textbook for introductory or intermediate courses in classical logic for students in mathematics, computer science, philosophy, or related disciplines, as well as for self-study.
Ordinary Differential Equations. Exercises and Problems
This book presents a variety of methods of analytic solution of ordinary differential equations and features a wealth of examples, both solved in detail and proposed. The goal of this work is to give a broad training in techniques of solution of equations and problems involving differential equations, which are important both in mathematics and applications.The book is aimed primarily at undergraduate students of mathematics, natural sciences and engineering, who need a solid knowledge of differential equations in their professional activities. The text contains many examples of scientific problems solved by constructing models involving differential equations, which introduce students to a number of interesting aspects of applications.The proposed material can also be useful for professors and instructors of differential equations courses, since the text contains an exposition of all the principal analytic techniques usually studied in undergraduate programs, which are illustrated with numerous examples. In this way, teachers/instructors can use this book both to teach classes and to administer exams/tests on the studied subjects.
G繹del's Incompleteness Theorems
In 1931, the mysterious-sounding article "On Formally Undecidable Propositions of Principia Mathematica and Related Systems I" shook the mathematical world. In this article, Kurt G繹del proved two incompleteness theorems that have fundamentally changed our view of mathematics. G繹del's theorems manifest that the concept of truth and the concept of provability cannot coincide. Since their discovery, the incompleteness theorems have attracted much attention, and a flood of articles and books have been devoted to their striking consequences. For good reasons, however, hardly any work deals with G繹del's article in its original form: His complex lines of thought described with meticulous precision, the many definitions and theorems, and the now largely outdated notation turn G繹del's historical masterpiece into a difficult read. This book explores G繹del's original proof in detail. All individual steps are carefully explained and illustrated with numerous examples. However, this book is more than just an annotated version of the historical article, as the proper understanding of G繹del's work requires a solid grasp of history. Thus, numerous excursions take the reader back to the beginning of the twentieth century. It was the time when mathematics experienced one of its greatest crises, when type theory and axiomatic set theory were taking shape, and Hilbert's formalistic logic and Brouwer's intuitionistic mathematics were openly confronting each other. This book is the revised translation of the second edition of the author's German language book "Die G繹del'schen Unvollst瓣ndigkeitss瓣tze".
Intro to Calcul Varia (4th Ed)
The calculus of variations is one of the oldest subjects in mathematics, and it is very much alive and still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it is widely used in physics, engineering, economics and biology.This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist -- mathematicians, physicists, engineers, students or researchers -- in discovering the subject's most important problems, results and techniques. Despite the aim of addressing non-specialists, mathematical rigor has not been sacrificed; most of the theorems are either fully proved or proved under more stringent conditions.This new edition offers an entirely new chapter, as well as the addition of several new exercises. The book, containing a total of 147 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.
Intro to Calcul Varia (4th Ed)
The calculus of variations is one of the oldest subjects in mathematics, and it is very much alive and still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it is widely used in physics, engineering, economics and biology.This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist -- mathematicians, physicists, engineers, students or researchers -- in discovering the subject's most important problems, results and techniques. Despite the aim of addressing non-specialists, mathematical rigor has not been sacrificed; most of the theorems are either fully proved or proved under more stringent conditions.This new edition offers an entirely new chapter, as well as the addition of several new exercises. The book, containing a total of 147 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.
Domination Numbers and Radius in Trapezoidal Graphs
Trapezoidal graphs, a significant class of intersection graphs, have garnered interest due to their applicability in various real-world scenarios. Defined as intersection graphs of trapezoids between two parallel lines, these graphs are useful in scheduling problems, bioinformatics, and network design.Understanding the relationships between different domination numbers and the radius of a graph can provide deeper insights into its structure and properties. In this context, we explore three specific domination numbers: the Roman domination number, the total domination number, and the distance-2 domination number. These parameters offer different ways of measuring how subsets of vertices can influence or dominate the entire graph.
Heat Source and Radiation on MHD Fluid Flow Over a Porous plate
The study of magnetohydrodynamic (MHD) fluid flow has garnered significant attention due to its wide range of applications in engineering, astrophysics, and industrial processes. When considering high-temperature systems, it becomes crucial to understand the impact of thermal radiation and heat sources on the flow characteristics. These factors play a pivotal role in processes such as nuclear reactor cooling, geothermal energy extraction, and in various metallurgical applications.In MHD flows, the interaction between the magnetic field and the electrically conducting fluid introduces complex dynamics, which are further influenced by the presence of a heat source and thermal radiation. The heat source can represent internal heating mechanisms such as chemical reactions or external sources like solar radiation. Thermal radiation, on the other hand, is essential in understanding the energy transport in high-temperature flows.
Solitons, Instantons, and Twistors
Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well-behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topologically different from vacuum. While integrable equations in lower space-time dimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yang-Mills and Einstein equations require twistor theory. Both techniques rely on an ability to represent nonlinear equations as compatibility conditions for overdetermined systems of linear differential equations. The book provides a self-contained and accessible introduction to the subject. It starts with an introduction to integrability of ordinary and partial differential equations. Subsequent chapters explore symmetry analysis, gauge theory, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basic differential geometry, complex manifold theory, and the exterior differential system.
Mesure et int矇gration. Cours et exercices corrig矇s.
Ce livre est un ouvrage, principalement destin矇 aux 矇tudiants de troisi癡me ann矇e LMD math矇matiques. Le contenu de ce livre, correspond au programme de la mati癡re Mesure et Int矇gration enseign矇 en troisi癡me ann矇e. Le livre s'articule autour de quatre chapitres. A la fin de chaque chapitre on pourra trouver une s矇rie d'exercices. A la fin de ce manuscrit, nous avons donn矇 quelques bibliographies de base classiques. Nous esp矇rons que ce livre r矇ponde aux attentes des 矇tudiants et qu'il les aidera ? r矇ussir.Le programme du cours est le suivant.1. Tribus et mesures.2. Fonctions mesurables, variables al矇atoires.3. Fonctions int矇grables.4. Produit d'espaces mesur矇s.
Journal of Applied Logics. IfCoLog Journal of Logics and their Applications. Volume 11, number 4, August 2024
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 free open access, and available via the College Publications website. This Journal is open access, puts no limit on the number of pages of any article, puts no limit on the number of papers in an issue and puts no limit on the number of issues per year. We insist only on a very high academic standard, and will publish issues as they come.
Fuzzy Sets Applications, Methodological Approaches, and Results
No detailed description available for "Fuzzy Sets Applications, Methodological Approaches, and Results".
Landau Equation, Boltzmann-type Equations, Discrete Models, and Numerical Methods
This two-volume monograph is a comprehensive and up-to-date presentation of the theory and applications of kinetic equations. The second volume covers discrete velocity models of the Boltzmann equation, results on the Landau equation, and numerical (deterministic and stochastic) methods for the solution of kinetic equations.
School assessment from the point of view of maths teachers and students
This work brings together the conceptions of school assessment held by public school maths teachers working in the final grades of primary school, as well as students' views on school assessment in the final grades of primary school in the public school system in the state of Paran獺. The educational institutions where the questionnaires were administered were spread across various regions of Paran獺.
Singularly Perturbed Differential Equations
No detailed description available for "Singularly Perturbed Differential Equations".
Mathematical Modeling
The co-infection of tuberculosis (TB) and malaria poses significant challenges for public health, particularly in regions where both diseases are endemic. This study presents a mathematical model to elucidate the dynamics of TB and malaria co-infection, considering the influence of interference treatments and vaccination resistance. The model incorporates compartmental dynamics for susceptible, latent TB-infected, active TB-infected, malaria-exposed, symptomatic malaria-infected, co-infected, and recovered individuals. Additionally, it integrates mechanisms of interference between treatments for TB and malaria, as well as compartments representing vaccinated individuals and those resistant to vaccination.
Study on Posbist Reliability Theory and Its Applications
"Imprecision" here is meant in the sense of vagueness rather than the lack of knowledge about the value of a parameter as in tolerance analysis. Fuzzy set theory provides a strict mathematical framework (there is nothing fuzzy about fuzzy set theory!) in which vague conceptual phenomena can be precisely and rigorously studied. It can also be considered as a modeling language well suited for situations in which fuzzy relations, criteria, and phenomena exist. Fuzziness has so far not been defined uniquely semantically, and probably never will. It will mean different things, depending on the application area and the way it is measured. This book entitled "Study on Posbist Reliability Theory and its Applications" present some important aspects Fuzzy Set theory and some recent results in its development. This embodies four chapters . The first chapter consists of an introduction on fuzzy set theory and different ideas with definitions that lead to the growth and extension of Fuzzy Set Theory. In second chapter we describe fuzzy variables. The third chapter consists of study on Posbist systems. At last chapter, we have presented a brief description on application of Fuzzy Set Theory.
Laplace Substitution Method
There are several methods to solve linear and nonlinear partial differential equations. However, these methods are not effective for solving nonlinear partial differential and integral equations involving mixed partial derivatives. Therefore, we focused on developing a new method to obtain exact solutions for these equations with fewer computations and in a shorter time. This method is called the Laplace Substitution Method. We derived the idea for this method from the Adomian Decomposition Method (ADM) and the Differential Transform Method (DTM). In this book, we address initial value problems of nonlinear partial differential and integral equations involving mixed partial derivatives of any order using our developed method, the Laplace Substitution Method. This study includes both linear and nonlinear partial differential and integral equations with mixed partial derivatives.
Linear Algebra for Teaching Activities
In this second volume of Linear Algebra you will find topics related to Matrices and Determinants, making reference to great authors of books focused on linear algebra, such as Baldor (Baldor, 2019) with authorships on Algebra, and other expert authors on the subject (David C. Lay, Ron Larson, Grossman, Estrada, Guzm獺n, among others) that is why, the topics related to Matrices and Determinants; are essential for the application in real life, with the demonstration of exercises related to the methods and an annex of proposed exercises for practice.
