Mathematical Optimization Theory and Operations Research
This book LNCS 15681 constitutes the refereed proceedings of the 24th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2025, held in Novosibirsk, Russia, during July 7-11, 2025. The 27 full papers were carefully reviewed and selected from 72 submissions. The proceeding focus on Mathematical Programming; Optimal Control; Game Theory; Operations Research and Applications; Machine Learning and Optimization.
Linear Algebra
This book presents algebra in a concise and clear way, allowing beginner students to quickly attain the required proficiency. As to opposed to existing books on the subject that cover too many topics, some of which are too complex and intimidating for a first course in linear algebra, this book only presents the essential topics in a more user-friendly manner. The author includes an optimized order of topics that are adapted to the learning patterns of students. In addition, carefully designed examples are presented to enhance reader confidence to master the material and to avoid frequently observed frustration. This textbook is ideal for a one semester course on basic linear algebra for college students majoring in mathematics, engineering, and other sciences.
Multiply and Divide within 100
This workbook contains 45 printable pages to help your students multiply and divide within 100: Putting numbers in order (4 pages)Missing numbers (3 pages)Match the arrays (3 pages)Create your own arrays (2 pages)Polygons and multiplication (4 pages)Putting products in order (3 pages)Least or Greatest (3 pages)Counting the corners/vertices (1 page)Counting the edges (1 page)Multiplication Tic-Tac-Toe (5 pages)Explain the math using words (3 pages)Multiples (1 page)Practice, Practice, Practice (12 pages)Common Core Standard: Math.3.OA.C.7If your students like math challenges, then this workbook is what you need. And, if you are interested in more multiplication activities, then take a look at these other workbooks available at Amazon: Multiply and Divide within 100Multiplication and DivisionMultiplication Chart MadnessMultiplication Tic-Tac-ToeMultiplication Mastery: Multi-digit Multiplication WorkbookFirst Day of School: Multiplication and Division GamesSummer Fun with MultiplicationHalloween Multiplication and DivisionInsect MultiplicationMoney, Measuring and MultiplicationDomino Multiplication: a workbook to practice your times tables
Summer Math Challenge
This workbook contains 91 printable math pages to help your students finish out the year and get ready for next year. Each page contains high-interest images and unique approaches to traditional geometry and arithmetic. Page titles: How good are you with numbers, Sequence, What is missing, Putting things in order, Tic-Tac-Toe, Match the arrays, Missing numbers, Area and Perimeter, Find the errors, How many cubes, Drawing triangles, Estimating coins, Comparing animals, Idiom hangman, Identifying circles, How many triangles, Polygons, Comparing differences, How many rectangles, Putting products in order, Identifying triangles, Comparing sums, How many circles, Estimating with odd numbers, What is the same...different, Multiples, and more...If you are looking for a unique approach to Common Core Standards, then this workbook is what you want. If you want more activities for the summer, then take a look at these summer workbooks: Summer Math Challenge: Third gradeSummer Math Challenge: Fourth gradeSummer Math Challenge: Fifth gradeSummer: Increasing NUMBER PowerSummer: Increasing WORD PowerSummer Critical Thinking Challenges (5th Grade) Summer Critical Thinking Challenges (6th Grade) Summer Critical Thinking Challenges (7th Grade) Summer Critical Thinking Challenges (8th Grade) Summer Fun with BrainteasersSummer Fun with Compound WordsSummer Fun with ElephantsSummer Fun with GeometrySummer Fun with MonkeysSummer Fun with MultiplicationSummer Fun with WordsSummer Fun Writing Personal LettersSummer Math - FractionsSummer Wildlife Writing: 75 Writing Prompts to Engage the Mind about WildlifeSummer Workbook: Third gradeSummer Workbook: Fourth gradeSummer Workbook: Fifth gradeSummer Writing - 4th gradeSummer Writing - 5th gradeSummer Writing - 150 Writing PromptsSummer Math and Writing: Third GradeSummer Math and Writing: Fourth Grade
Lean Management In Aircraft Industry
In the recent years practitioners and researchers have paid lot of attention towards lean manufacturing. Lean manufacturing practices, principles, tools and benefits to service as well as manufacturing organizations are well documented in the extant literature. Although numerous articles dealing with the concept and implication of lean manufacturing has been published inleading journals all over the world but the fact is that only few organizations have been successful in implementing lean manufacturing in totality to reduce the expected total cost and carried out a significant improvement in the their performance similar to that of Toyota Motor Corporation (TMC). Maximum of the success stories of lean implementation belongs to developed countries and lean implementation in totality is hardly evidenced in Indian Aircraft industry but Indian industries have a lot of scope for lean implementation. In this research an attempt has been made to explore cost benefits with supply chain. Also lean implementation, supplier's issues, lean tools, various waste identified, performance parameters and investment priorities for lean implementation in Indian scenario have been studied.
Convexity from the Geometric Point of View: Exercises and Solutions
Derivative-Free Optimization
This book offers a pioneering exploration of classification-based derivative-free optimization (DFO), providing researchers and professionals in artificial intelligence, machine learning, AutoML, and optimization with a robust framework for addressing complex, large-scale problems where gradients are unavailable. By bridging theoretical foundations with practical implementations, it fills critical gaps in the field, making it an indispensable resource for both academic and industrial audiences. The book introduces innovative frameworks such as sampling-and-classification (SAC) and sampling-and-learning (SAL), which underpin cutting-edge algorithms like Racos and SRacos. These methods are designed to excel in challenging optimization scenarios, including high-dimensional search spaces, noisy environments, and parallel computing. A dedicated section on the ZOOpt toolbox provides practical tools for implementing these algorithms effectively. The book's structure moves from foundational principles and algorithmic development to advanced topics and real-world applications, such as hyperparameter tuning, neural architecture search, and algorithm selection in AutoML. Readers will benefit from a comprehensive yet concise presentation of modern DFO methods, gaining theoretical insights and practical tools to enhance their research and problem-solving capabilities. A foundational understanding of machine learning, probability theory, and algorithms is recommended for readers to fully engage with the material.
Solved problems on Markov chains
Markov chains have many applications, ranging from modeling communication networks to analyzing stock prices, Markov chains can be used in market research studies, they can model the probabilities of claims for insurance, they are used in the fields of public health and medicine, also they are used in ranking of websites in web searches. In general, Markov chains are particularly useful in modeling systems that have a finite number of states and transitions between those states and can be used to analyze and predict the long-term behavior of such systems.Most books on Markov chains are dedicated to reviewing theoretical concepts. The objective of this work is to make available to students and teachers a collection of solved problems on discrete-time Markov chains. In this sense, the work consists of solving 74 problems of different types. In them are obtained the transition probabilities and the transition matrix, the state spaces and the classes of those states, the n-step transition probabilities, the recurrence and transience, the invariant distributions, the mean return time and the convergence to equilibrium.
AI for Research and Scalable, Efficient Systems
This book constitutes the proceedings of the Second International Workshop, AI4Research 2025, and First International Workshop, SEAS 2025, which were held in conjunction with AAAI 2025, Philadelphia, PA, USA, during February 25-March 4, 2025. AI4Research 2025 presented 8 full papers from 35 submissions. The papers covered diverse areas such as agent debate evaluation, taxonomy expansion, hypothesis generation, AI4Research benchmarks, caption generation, drug discovery, and financial auditing. SEAS 2025 accepted 7 full papers from 17 submissions. These papers explore the efficiency and scalability of AI models.
Mathematical Methods for Engineering Applications
This proceedings volume compiles papers presented at the 5th International Conference on Mathematics and its Applications in Science and Engineering - ICMASE 2024, held on September 16-18, 2024, by the Polytechnic Institute of Coimbra, Portugal. The ICMASE 2024 was a hybrid conference, featuring both in-person and virtual attendance. The works in this volume explore recent developments in the application of mathematics to science and engineering, focusing on mathematical and computational modeling of real-world problems. Topics include algebra and number theory, analysis, geometry, statistics, computational and discrete mathematics, as well as their intersections with engineering applications. Additionally, educational aspects of mathematics in engineering fields are addressed. This volume is intended for researchers, practitioners, and graduate students, particularly those interested in advanced methods for applying mathematics across various contexts and fields.
Supervised Machine Learning for Science
Machine learning has revolutionized science, from folding proteins and predicting tornadoes to studying human nature. While science has always had an intimate relationship with prediction, machine learning amplified this focus. But can this hyper-focus on prediction models be justified? Can a machine learning model be part of a scientific model? Or are we on the wrong track?In this book, we explore and justify supervised machine learning in science. However, a naive application of supervised learning won't get you far because machine learning in raw form is unsuitable for science. After all, it lacks interpretability, uncertainty quantification, causality, and many more desirable attributes. Yet, we already have all the puzzle pieces needed to improve machine learning, from incorporating domain knowledge and ensuring the representativeness of the training data to creating robust, interpretable, and causal models. The problem is that the solutions are scattered everywhere.In this book, we bring together the philosophical justification and the solutions that make supervised machine learning a powerful tool for science.After the introduction, the book consists of two parts: Part 1 justifies the use of machine learning in science.Part 2 discusses how to integrate machine learning into science.
Secrets of the Hidden Palace
The Great Pyramid is arguably the most recognized and celebratedstructure in the world. It has been an enduring source of wonder andintense examination and study for ages. Yet it still excites a deep senseof mystery and awe. However, it is bereft of writing or images, exceptfor some construction markings. Wrong!It has writing in it that carries some of the most significant meaningof the ages, in languages that are both universal and timeless, thelanguages of mathematics and geometry.The Pyramid's shape and size are written in this language and reflectthe fact that its inception is in the heavens north of it. Here the northecliptic and north celestial poles create triangles that determine thePyramid's shape and its dimensions exactly. But this is only a beginning, as these same measures were used to determine the dimensions of theEarth. Astonishing, but true.There are also a substantial number of geometric images or figures thatwere encoded into the walls of the King's Chamber, using rudimentaryastronomical techniques. These figures comprise triangles, rectangles, stars, and circles, many of which have meanings in their own right, but when viewed in combination with others tell a profound tale, thesame one told by Plato in Timaeus. It is the tale of god and creation, andboth are told in the language of geometry. And, not by coincidence, thefigures in the Pyramid also name the Egyptian god of creation, Ptah.
The Propositions of the Fifth Book of Euclid Proved Algebraically
"The Propositions of the Fifth Book of Euclid Proved Algebraically" offers a rigorous exploration of Euclidean geometry through the lens of algebraic methods. Authored by George Sturton Ward, this treatise provides alternative proofs for Euclid's propositions, enhancing the understanding of fundamental geometric principles. By bridging the gap between geometry and algebra, this work serves as a valuable resource for students and educators alike. Its enduring relevance lies in its ability to illuminate the interconnectedness of mathematical disciplines and offer fresh perspectives on classic geometric theorems. This book is essential for anyone seeking a deeper appreciation of both Euclidean geometry and the power of algebraic reasoning.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
![Key to Exercises in Euclid [Book 1-6 and Parts of Book 11,12]](https://cdn.kingstone.com.tw/english/images/product/3478/9781023913478m.webp?Q=d8b08 "Key to Exercises in Euclid [Book 1-6 and Parts of Book 11,12]")
Key to Exercises in Euclid [Book 1-6 and Parts of Book 11,12]
This book provides the solutions and answers to the exercises found in Isaac Todhunter's edition of Euclid's Elements. Covering Books 1-6 and parts of Books 11 and 12, this key is designed to assist students and educators in mastering Euclidean geometry. It offers step-by-step solutions and explanations, making it an invaluable resource for self-study or classroom use.Originally intended to complement the textbook, this key enhances understanding of geometric principles and cultivates problem-solving skills. "Key to Exercises in Euclid" is essential for anyone seeking a deeper engagement with classical geometry and its applications. It remains relevant for modern students and teachers alike due to the enduring importance of Euclidean geometry in mathematical education.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Propositions of the Fifth Book of Euclid Proved Algebraically
"The Propositions of the Fifth Book of Euclid Proved Algebraically" offers a rigorous exploration of Euclidean geometry through the lens of algebraic methods. Authored by George Sturton Ward, this treatise provides alternative proofs for Euclid's propositions, enhancing the understanding of fundamental geometric principles. By bridging the gap between geometry and algebra, this work serves as a valuable resource for students and educators alike. Its enduring relevance lies in its ability to illuminate the interconnectedness of mathematical disciplines and offer fresh perspectives on classic geometric theorems. This book is essential for anyone seeking a deeper appreciation of both Euclidean geometry and the power of algebraic reasoning.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Exercises in Algebra to Simple Equations Inclusive
"Exercises in Algebra to Simple Equations Inclusive" by William Allen Whitworth offers a comprehensive collection of algebraic problems designed to enhance understanding and proficiency. Originally published in 1875, this book provides a structured approach to learning algebra, focusing on fundamental concepts and equation-solving techniques. Designed as a resource for students and educators alike, this book offers a progressive set of exercises that build from basic principles to more complex applications. Its enduring relevance makes it a valuable addition to any mathematics library, offering insights into historical teaching methods and a solid foundation in algebra. Perfect for self-study or classroom use, this book remains a testament to the timeless principles of algebraic education. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Secrets of the Hidden Palace
The Great Pyramid is arguably the most recognized and celebratedstructure in the world. It has been an enduring source of wonder andintense examination and study for ages. Yet it still excites a deep senseof mystery and awe. However, it is bereft of writing or images, exceptfor some construction markings. Wrong!It has writing in it that carries some of the most significant meaningof the ages, in languages that are both universal and timeless, thelanguages of mathematics and geometry.The Pyramid's shape and size are written in this language and reflectthe fact that its inception is in the heavens north of it. Here the northecliptic and north celestial poles create triangles that determine thePyramid's shape and its dimensions exactly. But this is only a beginning, as these same measures were used to determine the dimensions of theEarth. Astonishing, but true.There are also a substantial number of geometric images or figures thatwere encoded into the walls of the King's Chamber, using rudimentaryastronomical techniques. These figures comprise triangles, rectangles, stars, and circles, many of which have meanings in their own right, but when viewed in combination with others tell a profound tale, thesame one told by Plato in Timaeus. It is the tale of god and creation, andboth are told in the language of geometry. And, not by coincidence, thefigures in the Pyramid also name the Egyptian god of creation, Ptah.
Exercises in Algebra to Simple Equations Inclusive
"Exercises in Algebra to Simple Equations Inclusive" by William Allen Whitworth offers a comprehensive collection of algebraic problems designed to enhance understanding and proficiency. Originally published in 1875, this book provides a structured approach to learning algebra, focusing on fundamental concepts and equation-solving techniques. Designed as a resource for students and educators alike, this book offers a progressive set of exercises that build from basic principles to more complex applications. Its enduring relevance makes it a valuable addition to any mathematics library, offering insights into historical teaching methods and a solid foundation in algebra. Perfect for self-study or classroom use, this book remains a testament to the timeless principles of algebraic education. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Determinants of Project Success in Emergency Projects
This book investigates the critical success factors (CSFs) for Emergency Humanitarians projects in the Tigray region of Ethiopia for the period of the concurrent post conflict situation. A total of 46 respondents selected from various humanitarian non-governmental organizations participated in the study, yielding a response rate of 92%. The research employed a binary regression model to identify the significant determinants of project success. The findings reveal that project team experience and commitment, stakeholder management, proposal designing, monitoring and evaluation, implementation management, and communication management significantly influence project success, with p-values less than 0.05. These factors collectively account for an 89.1% project success ratio. Interestingly, project risk management, often considered a key aspect of project success, was not found to be a significant determinant in this context (p>0.05). The study underscores the meaningful achievements made by emergency humanitarian projects across all technical components and households exposed to more project activities. It concludes that effective management involvement, communication, team commitment.
A Practical Treatise On Arithmetic
"A Practical Treatise On Arithmetic" by George Leonard, originally published in 1839, offers a comprehensive system for understanding arithmetic principles. This treatise distinguishes itself by explaining each concept in a simple and accessible manner, making it ideal for students and educators alike. Beyond basic calculations, the book includes a detailed description of bookkeeping practices, providing practical applications for the arithmetic principles discussed. This combination of theoretical knowledge and practical skills makes it a valuable resource for anyone seeking a solid foundation in mathematics and financial record-keeping. Its historical context also provides insight into 19th-century educational methods.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Numerical Solutions of Heat and Mass Transfer in Different Geometries
This book focuses on research related to heat and mass transfer problems in various geometries with different physical parameters. Governing partial differential equations are converted into coupled ordinary differential equations and solved using numerical techniques supported by MATLAB. Chapter 1 introduces the topic, literature, basic concepts related to heat and mass transfer, boundary-layer theory and relevant equations. Chapter 2 investigates the MHD Darcy-Forchheimer Jeffrey nanofluid flow over a nonlinear radial stretching sheet with radiation and heat generation/absorption. Chapter 3 explores the numerical study of Carreau fluid over a porous vertical microchannel, entropy generation in heat transport. Chapter 4 analyzes thermally radiative buoyancy flow influenced by higher-order chemical reactions and microbial suspensions. Chapter 5 presents the radiative flow of magneto Casson fluid via a vertical microchannel, focusing on steady entropy generation fluid. Across chapters, PDEs are transformed into ODEs using similarity transformations, solving two-point BVPs. Results are graphically and tabularly presented, showcasing velocity, temperature, and concentration profiles.
A posteriori error estimates of FEM
Different real-life objects and technological processes are mathematical problems that need to be solved to achieve optimal control over the object described by elliptic differential equations. The technique of finite element method has become one of the main tools of numerical methods for solving differential equations today and has found wide application in the solution of the optimal control problem of systems described by differential equations.In this book, we describe the finite element method, error estimation method and detailed numerical simulation method to solve the optimal control problem of some semi-linear second order elliptic differential equations in two dimensions.In Chapter 1, finite element posteriori error estimation, convergence and numerical simulation for the source optimal control problem of semi-linear elliptic equations with nonlinear Robin boundary conditions are presented.In Chapter 2, we evaluate the finite element posteriori error and the priori error for the source optimal control problem of a semi-linear system of convection-diffusion equations with Dirichlet boundary conditions and describe the numerical simulations.
Advanced Numerical and Algorithmic Approaches for Irresolvable Integrals
This fourth volume, Advanced Numerical and Algorithmic Approaches for Irreducible Integrals, is intended for students, researchers, and engineers dealing with integrals that cannot be solved analytically. Through a rigorous framework, it presents error bounds, estimates of maximum achievable precision, and methods for determining the optimal number of intervals required. Each numerical technique is illustrated with an algorithm, a Python implementation, and exercises grounded in diverse application domains such as biology, finance, and telecommunications. By combining mathematical theory, computational tools, and real-world case studies, the book offers a clear methodological framework for assessing and mastering the precision of numerical methods. This volume completes a four-part series dedicated to both analytical and numerical integration, delivering a structured, comprehensive, and practically oriented vision of integral calculus in the sciences and engineering.
Functional Phase Space Methods
This book focuses on functional phase space methods in quantum optics and provides a comprehensive introduction to the Wigner functional formalism. The book shows how this formalism can be used for analyzing and designing practical photonic quantum information systems. It also explains in detail the application of the Wigner functional formalism to parametric down-conversion, an important process in quantum optics.
Evolutionary Dynamic Equations
The book discusses the stability, observability, and controllability of nonlinear systems of PDEs (such as Wave, Heat, Euler-Bernoulli beam, Petrovsky, Kirchhoff, equations, and more). Methods based on the theory of classical weak functions analysis and movements in Sobolev spaces are used to analyze nonlinear systems of evolutionary partial differential equations. With the unifying theme of evolutionary dynamic equations, both linear and nonlinear, in more complex environments with different approaches, the book presents a multidisciplinary blend of topics, spanning the fields of PDEs applied to various models coming from theoretical physics, biology, engineering, and natural sciences.This comprehensive book is prepared for a diverse audience interested in applied mathematics. With its broad applicability, this book aims to foster interdisciplinary collaboration and facilitate a deeper understanding of complex phenomenon concepts, practically in electromagnetic waves, the acoustic model for seismic waves, waves in blood vessels, wind drag on space, the linear shallow water equations, sound waves in liquids and gases, non-elastic effects in the string.
Advances in the Approximation for the Mathematical Constants
This book is the mathematical reference book which is helpful and accessible for not only professional mathematicians but also readers who have a little knowledge of mathematics.Mathematical constants have important applications in almost every field of engineering and science.In the study of mathematical constants, the remarkable trend is to find more accurate approximations and inequalities for them. Hence, many mathematicians and scientists have made great efforts in this subject of establishing more precise approximations for the mathematical constants and had lots of inspiring results. In this book, we extend our remarkable results and offer a more comprehensive overview.The book contains 3 chapters.Chapter 1 describes new sequences with continued fraction towards the Euler-Mascheroni constant and generalized Euler-Mascheroni constant, and summarizes several methods often employed to evolute the rate of convergence of our new sequences.Chapter 2 deals with our new classes of sequences converging to the Lugo's constant based on continued fraction, and summarizes several methods often employed to evolute the rate of convergence of our new sequences.
Statistical Computing With Machine Learning
Statistical Computing with Machine Learning explores the powerful synergy between statistical analysis and machine learning techniques in addressing real-world medical challenges. With a strong focus on disease prediction and diagnosis, this book bridges foundational theory with cutting-edge applications, offering researchers, practitioners, and students a comprehensive guide to modern healthcare analytics.
Time Series Forecasting of Meteorological Parameters
This book focuses on the time series forecasting of critical meteorological parameters including temperature, rainfall, humidity, and wind. It explores classical statistical models such as ARIMA, Holt-Winters, and Exponential Smoothing, along with a novel enhancement-the Modified Sliding Window Algorithm. The objective is to improve prediction accuracy in meteorological datasets by applying adaptive techniques. Real-time weather data has been analyzed using these models, and a comparative study highlights the performance of each. This work is beneficial for researchers, meteorologists, and data scientists working in climate modeling and weather prediction.
Linear Algebra I with MATLAB
Linear Algebra is a fundamental branch of mathematics that plays a crucial role in numerous fields, including engineering, physics, computer science, and data science. This book, Linear Algebra I with MATLAB, aims to provide a clear and practical introduction to the subject, integrating mathematical theory with computational applications using MATLAB.The book is structured to cover essential topics such as matrices, determinants, systems of linear equations, vector spaces, and transformations. Each chapter presents theoretical concepts with rigorous mathematical proofs, followed by computational techniques that illustrate their implementation in MATLAB. Through examples, exercises, and MATLAB code snippets, readers will gain both theoretical understanding and practical problem-solving skills.This book is contains four chapters Matrices, Determinants, System of linear equations, Spatial vectors.
Nonlinear Analysis and Computational Techniques
The book focuses on the theory of fixed points, which is a foundation for many branches of pure and applied mathematics. Fixed point theorems have been studied in various function spaces. The book contains modern results on these theorems, investigated in generalized spaces such as S-metric spaces, convex metric spaces, and bipolar metric spaces, with applications in medical imaging. The nonlinear analysis presented in the book is valuable for modeling and solving real-world problems. It includes work on specific nonlinear operators and nonlinear fractional integral equations in Banach spaces. Relevant studies are also included on statistical convergence, inventory model modeling, computational techniques for Sentiment Analysis on Twitter Data, and Blood Management applications. The book is intended for young researchers interested in nonlinear analysis, fixed-point theory, and computational techniques.
G?(c)om?(c)trie Analytique, Ou, Application De L’alg癡bre ?€ La G?(c)om?(c)trie
"G矇om矇trie Analytique, Ou, Application De L'alg癡bre ? La G矇om矇trie" by Jean-Guillaume Garnier, originally published in 1813, explores the application of algebra to geometry. This historical text provides insights into the development of analytic geometry and showcases the mathematical techniques of the early 19th century. Garnier's work offers a detailed exposition of the principles connecting algebraic equations with geometric forms, making it a valuable resource for understanding the foundations of modern mathematical analysis. This edition retains the original language and notation, preserving its historical authenticity and making it an essential addition to the libraries of mathematicians, historians of science, and anyone interested in the evolution of mathematical thought.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Practice Exercises in Probability Distributions
This book presents a comprehensive collection of solved exercises in probability theory, intended for students, educators, and practitioners in the fields of mathematics, statistics, and related disciplines. The work covers both discrete and continuous probability distributions, exploring fundamental concepts such as random variables, expectation, variance, probability laws, conditional probability, independence, and the central limit theorem. Through a series of carefully structured problems accompanied by rigorous solutions, readers are introduced to classical distributions including binomial, geometric, Poisson, uniform, exponential, and normal distributions. Each chapter is designed to strengthen conceptual understanding and to develop analytical proficiency through application-driven scenarios such as quality control, random sampling, reliability modeling, and statistical inference. In addition to core topics, the book integrates advanced problem-solving strategies, approximation techniques (e.g., normal approximation to the binomial distribution), and real-world applications that bridge theoretical concepts with practical relevance.
Advanced Arithmetic
Advanced Arithmetic, by Charles William Morey, offers a comprehensive exploration of arithmetic principles designed for advanced students and educators. Published in 1917, this book provides a detailed study of fundamental arithmetic concepts, accompanied by numerous exercises and practical applications. Morey's work not only covers standard topics but also delves into advanced areas, making it an invaluable resource for those seeking a deeper understanding of mathematical reasoning. Its historical context provides insight into early 20th-century educational practices, offering a unique perspective on the teaching of arithmetic. This edition retains the original content, ensuring that readers can experience the material as it was initially intended. Whether used as a reference, a teaching aid, or a historical artifact, 'Advanced Arithmetic' remains a valuable contribution to the field of mathematics education.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Nonmonotone Methods for Solving Multi-objective Optimization Problems
In recent years, the multi-objective optimization (vector optimization) problems has been actively studied and widely applied in many fields of science such as medicine, economics, finance, engineering, radio resource management, discrete optimization, variational inequality, computational biology, machine design and control, environmental science, agriculture, production and management activities, etc.In this book we propose a nonmonotone methods to solve the multi-objective optimization problem, which makes use of approximation to Hessian matrices of the objective functions by diagonal positive matrices in computing search direction.Finally, we proved the effectiveness of the proposed methods by numerical experiments.
Mathematical Modelling
Manual loading is one of the primary activities and consumes a good amount of time in the Coal mine. With formulation of the mathematical model, improvements in the present method of manual loading which can conserve human energy besides increasing the productivity and reducing the time required. Some of the variables used to formulate this model are (1) Environment of working area such as illumination, ambient temperature and air circulation facility around the manual loading coal mine work station, (2) Anthropometric data which include the ergonomic aspects and (3) Tools used by miner for manual loading operation which include geometric dimensions of tool, based on the data collected of these variables, a mathematical model is formulated.
Advanced Arithmetic
Advanced Arithmetic, by Charles William Morey, offers a comprehensive exploration of arithmetic principles designed for advanced students and educators. Published in 1917, this book provides a detailed study of fundamental arithmetic concepts, accompanied by numerous exercises and practical applications. Morey's work not only covers standard topics but also delves into advanced areas, making it an invaluable resource for those seeking a deeper understanding of mathematical reasoning. Its historical context provides insight into early 20th-century educational practices, offering a unique perspective on the teaching of arithmetic. This edition retains the original content, ensuring that readers can experience the material as it was initially intended. Whether used as a reference, a teaching aid, or a historical artifact, 'Advanced Arithmetic' remains a valuable contribution to the field of mathematics education.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements of Geometry
"Elements of Geometry, Volume 2" by Irving Fisher and Andrew Wheeler Phillips, is a comprehensive exploration of geometric principles, designed for students and educators alike. This volume builds upon fundamental concepts, offering a detailed treatment of advanced topics within Euclidean geometry. The book is structured to provide a clear and logical progression, making it an invaluable resource for both classroom instruction and self-study.With its rigorous approach and numerous examples, "Elements of Geometry" remains a relevant and essential text for anyone seeking a deep understanding of geometric theory and its applications. This edition preserves the original clarity and precision, ensuring its continued value for generations of learners.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Chemotaxis-Navier Stokes Equations in Bounded Domain
When bacteria of the species Bacillus subtilis are suspended in water, it can be observed experimentally that spatial patterns may spontaneously emerge from initially almost homogeneous distributions of bacteria. A mathematical model for such processes was proposed in many literatures, where it is assumed that the essentially responsible mechanisms are a chemotactic movement of bacteria towards oxygen which they consume, a gravitational effect on the motion of the fluid by the heavier bacteria, and a convective transport of both cells and oxygen through the water. We've studied chemotaxis-Navier-Stokes systems for several years and obtained some important results. In the current edition, we synthesis and analysis these results as well as make our effort to give the proofs of them in detail and perfectly. However, in this process, we have benefited enormously. In conclusion, we hope that the interested scientist will enjoy this book and derive great benefit from reading it just as we did while writing it.
A New & Compleat Treatise of the Doctrine of Fractions, Vulgar & Decimal ...
"A New & Compleat Treatise of the Doctrine of Fractions, Vulgar & Decimal," by Samuel Cunn, first published in 1714, offers a comprehensive exploration of fractions, both vulgar (common) and decimal, as understood in the early 18th century. This treatise provides a detailed explanation of arithmetical principles and practices related to fractions, offering insights into the mathematical techniques employed during this period. In addition to its focus on fractions, the book includes an epitome of duodecimals-a system of calculation based on twelve-and an idea of measuring, showcasing practical applications of mathematical concepts in everyday life. This work is a valuable resource for those interested in the history of mathematics, early modern education, and the evolution of mathematical notation and methodology. Cunn's treatise reflects the intellectual curiosity and practical concerns of his time, making it a compelling read for historians, mathematicians, and anyone fascinated by the development of mathematical thought.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Modern Statistical Computing and Data Analysis with RStudio and SAS
Modern Statistical Computing and Data Analysis with RStudio and SAS offers a practical, hands-on introduction to the essential tools and techniques used in modern data science. Blending statistical theory with real-world applications, this book guides readers through data manipulation, visualization, modeling, and interpretation using two of the most powerful platforms in the field RStudio and SAS. Ideal for students, researchers, and professionals, it emphasizes clarity, reproducibility, and the integration of computational thinking in statistical analysis.
Sampling Techniques
"Sampling Techniques: From Fundamentals to Advanced Applications" is a comprehensive guide that covers both classical and modern approaches to sampling. Aimed at master's level students and professionals, the book blends theory, real-world applications, and computational tools.It begins with core sampling concepts and classical methods like SRS, stratified, and cluster sampling, then advances to specialized topics including adaptive sampling, Bayesian methods, and model-assisted techniques. Each chapter includes theorems, proofs, examples, illustrations, exercises with solutions, and coding practices in R and Python.This book equips readers with the knowledge to design efficient surveys and analyze data in fields such as public health, business, environment, and policy research.
Probability
This book serves as a tutorial guide, covering both MATLAB's fundamental functions and its applications in probability theory and statistical analysis. Designed for beginners and those seeking to deepen their understanding, this resource seamlessly integrates theoretical knowledge with practical applications.
Applied Cluster Analysis - Part I
This book is Part 1 of a series on cluster analysis, developed through a search to define its boundaries. While many existing sources mention topics covered here, this book offers new reflections, developments, and example applications that provide fresh insights into cluster analysis. Its primary goal is to introduce new perspectives while exploring various ideas and approaches. Topics include the goals and assumptions of cluster analysis, its importance and applications, and an overview of common clustering models along with their use, distance measures, and selection criteria. The book also covers popular methods for evaluating clustering quality and validating clusters, supported by multiple example applications.Additionally, it addresses common challenges in determining the number of clusters, with attention to both hierarchical and non-hierarchical methods. The book concludes with a discussion on typical cluster types found in datasets and offers guidance on how to classify them accurately.
A time fractional reaction-diffusion equation
The reaction-diffusion equation is a differential equation that mathematically models problems in various fields of the national economy such as food, chemical, biotechnology, etc., but there are still many open questions.In this book, we introduce recent developments in nonlinear reaction-diffusion equationThe book is organized in three chapters and seven sections.In Chapter 1, the mathematical theory of the initial-boundary value problem of the reaction-diffusion equation and the previous results concerning the optimal control problem of the system described by the reaction-diffusion equation are summarized, the problems to be solved in the paper are presented, and some basic results are presented.Chapter 2 demonstrates the existence and uniqueness of weak solutions to the initial-boundary value problem of a time-fractional system of reaction-diffusion equations (fractional Selkov model).In Chapter 3, we show the existence of solutions to the optimal control problem of a system described by an initial-boundary value problem of a time fractional system of reaction-diffusion equations, and derive the optimality condition of this optimal control problem.
Mosquito Ecology in The Urban Area
The study investigates mosquito ecology in Rajkot City, Gujarat, India, focusing on species diversity, breeding habitats, and adult resting preferences in an urban setting. A total of nine mosquito species across four genera were identified through larval and adult sampling conducted between January 2006 and December 2007. Breeding habitats included domestic water containers, drains, and natural water bodies, with species-specific preferences observed. Seasonal variation in larval and adult densities showed peak populations during monsoon and post-monsoon months, influenced by rainfall, temperature, and humidity. High densities of Culex quinquefasciatus and Anopheles stephensi indicate a substantial vector risk. The study highlights the importance of environmental management, community awareness, and integrated vector control strategies for effective mosquito control in urban areas like Rajkot. 'Prevention is better than a cure'.
