G Families of Probability Distributions
Statistical distributions are important tools to model the characteristics of data sets observed in different applied sciences such as engineering, medicine, and finance, among others. This book will help future and current researchers in the field of G families of probability distributions.
Textile Engineering
Overall theme of the book is analysis and interpretation of the textile data for improving the quality of textile process and product using various statistical techniques. This volume covers statistical techniques, design of experiments and stochastic modeling in textile engineering supported by practical examples and end-of-chapter exercises.
Recent Advances in Time Series Forecasting
Future predictions are always a topic of interest. Precise estimates are crucial in many activities as forecasting errors can lead to significant financial loss. The sequential analysis of data and information gathered from past to present is called time series analysis. This book covers the recent advancements in time series forecasting.
Finitely Presented Groups
This book contains surveys and research articles on the state-of-the-art in finitely presented groups for researchers and graduate students. Overviews of current trends in exponential groups and of the classification of finite triangle groups and finite generalized tetrahedron groups are complemented by new results on a conjecture of Rosenberger and an approximation theorem. A special emphasis is on algorithmic techniques and their complexity, both for finitely generated groups and for finite Z-algebras, including explicit computer calculations highlighting important classical methods. A further chapter surveys connections to mathematical logic, in particular to universal theories of various classes of groups, and contains new results on countable elementary free groups. Applications to cryptography include overviews of techniques based on representations of p-groups and of non-commutative group actions. Further applications of finitely generated groups to topology and artificial intelligence complete the volume. All in all, leading experts provide up-to-date overviews and current trends in combinatorial group theory and its connections to cryptography and other areas.
Discrete Stochastic Models and Applications for Reliability Engineering and Statistical Quality Control
This book provides real-life examples and illustrations of models in reliability engineering and statistical quality control and establishes a connection between the theoretical framework and their engineering applications.
Pulling Rabbits Out of Hats
Pulling Rabbits Out of Hats: Using Mathematical Modeling in the Material, Biophysical, Fluid Mechanical, and Chemical Sciences focuses on those assumptions made during applied mathematical modeling in which the phenomenological data and the model predictions are self-consistent.
Mathematical Modeling and Soft Computing in Epidemiology
This book describes the use of different Mathematical Modeling and Soft Computing techniques used in Epidemiology for experiential research in projects such as how infectious diseases progress to show the likely outcome of an epidemic, and to contribute to public health interventions.
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.
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.
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".
Statistics of Extremes and Records in Random Sequences
Rare events such as earthquakes, tsunamis, and floods fortunately do not occur every day, but when they do, their effects are devastating. Such rare events are particularly important in understanding and characterizing global warming and climate changes. In addition to natural catastrophes, rare events such as big financial crashes also play a significant role in the economy. In the absence of predictive models, the best way forward is to analyse the statistics of these extreme events and draw conclusions about the probability of their occurrences. Extreme value statistics (EVS) and the statistics of records in a random sequence are examples of a truly interdisciplinary topic, spanning from statistics and mathematics on one side to physics of disordered systems on the other. They have tremendous importance and practical applications in a wide variety of fields, such as climate science, finance, spin-glasses, and random matrices. Statistics and mathematical literature have explored the subject of the classical theory of EVS. However, more recently, EVS started to play a very important role in statistical physics, in particular in disordered systems. This has led to a plethora of activities, both in the statistical physics and in the mathematics communities over the last few decades. This book develops the theory of rare events, both for the classical uncorrelated as well as for correlated sequences, in terms of simple models and examples. Statistics of Extremes and Records in Random Sequences is a pedagogical book with examples illustrating the basic tools and techniques that are essential to a student starting to work in this interesting and rapidly developing field.
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.
Problems & Solutions in Stochastic Calculus with Appln
Problems and Solutions in Stochastic Calculus with Applications exposes readers to simple ideas and proofs in stochastic calculus and its applications. It is intended as a companion to the successful original title Introduction to Stochastic Calculus with Applications (Third Edition) by Fima Klebaner. The current book is authored by three active researchers in the fields of probability, stochastic processes, and their applications in financial mathematics, mathematical biology, and more. The book features problems rooted in their ongoing research. Mathematical finance and biology feature pre-eminently, but the ideas and techniques can equally apply to fields such as engineering and economics.The problems set forth are accessible to students new to the subject, with most of the problems and their solutions centring on a single idea or technique at a time to enhance the ease of learning. While the majority of problems are relatively straightforward, more complex questions are also set in order to challenge the reader as their understanding grows. The book is suitable for either self-study or for instructors, and there are numerous opportunities to generate fresh problems by modifying those presented, facilitating a deeper grasp of the material.
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.
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.
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.
Polyadic Transcendental Number Theory
The existence of transcendental numbers was first proved in 1844, by Joseph Liouville. Advances were made by Charles Hermite, proving the transcendence of the number e, and Ferdinand von Lindemann, proving the transcendence of the number π. The consequence of these discoveries was the negative solution to the problem of squaring the circle, which has stood for many years. In the 20th century, the theory of transcendental numbers developed further, with general methods of investigating the arithmetic nature of various classes of numbers. One of these methods is the Siegel-Shidlovskii method, previously used for the so-called E- and G-functions.Polyadic Transcendental Number Theory outlines the extension of the Siegel-Shidlovskii method to a new class of F-series (also called Euler-type series). Analogues of Shidlovskii's famous theorems on E-functions are obtained. Arithmetic properties of infinite-dimensional vectors are studied, and therefore elements of direct products of rings of integer p-adic numbers are considered. Hermite-Pad矇 approximations are used to investigate the values of hypergeometric series with algebraic irrational parameters. Moreover, the book describes how to use Hermite-Pad矇 approximations to obtain results on the values of hypergeometric series with certain transcendental (polyadic Liouville) parameters. Based on recent results, this book contains indications of promising areas in a new field of research. The methods described will allow readers to obtain many new results.
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.
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.
The Polls Weren't Wrong
This book will equip readers with the tools to navigate the mismatch of expectations. It is not intended to replace more technical applications of statistics but is accessible to those interested in learning about how poll data should be understood.
Fuzzy Sets Applications, Methodological Approaches, and Results
No detailed description available for "Fuzzy Sets Applications, Methodological Approaches, and Results".
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.
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.
Artificial Intelligence in Pancreatic Disease Detection and Diagnosis, and Personalized Incremental Learning in Medicine
This volume constitutes the refereed proceedings of the First International Workshop on Artificial Intelligence in Pancreatic Disease Detection and Diagnosis, AIPAD 2024 and the First International Workshop on Personalized Incremental Learning in Medicine, PILM 2024, held in conjunction with MICCAI 2024, in Marrakesh, Morocco, in October 2024. The 8 full papers included in these proceedings were carefully reviewed and selected from 9 submissions. They were organized in topical sections as follows: artificial intelligence in pancreatic disease detection and diagnosis; and personalized incremental learning in medicine.
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.
Study of the impact of factors on returns on financial assets
This dissertation is an internship report for Typhoon Partner, a UK-based proprietary investment firm specializing in the development of quantitative investment strategies. We focus on intra-sector and inter-sector returns relative to the fundamental characteristics of US equities. After a thorough analysis of the basic concepts of risk and the issues involved in risk management, we will first look at the various risk measures associated with each sector (VaR, Expected Shortfall, etc.). Secondly, using the relevant literature, we apply a statistical model to explain cross-asset returns in the equity universe using the financial ratios selected, with the aim of studying the performance of equities within a sector and between several sectors. Finally, we look at the comparison of investment strategies and portfolio insurance.
Writers of the Cold
This study analyses the literary construction of space. More specifically, we analyse the artistic construction of the city and the means used to give it high relevance in the text. To this end, we chose the work of Argentinian writer Jorge Luis Borges, published in the 1920s and 1930s. We also analysed how Vitor Ramil (a reader and self-confessed admirer of Borges) constructs his own Satolep from the city of Pelotas. For this analysis, we used his novels that thematise the city: Pequod (1999) and Satolep (2008).
Singularly Perturbed Differential Equations
No detailed description available for "Singularly Perturbed Differential Equations".
Introduction to the Spectral Theory of Operators in Spaces with an Indefinite Metric
No detailed description available for "Introduction to the Spectral Theory of Operators in Spaces with an Indefinite Metric".
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.
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.
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.
Mapmatics
"I love maps. I love math. And gosh, do I love this book, which so beautifully and clearly sounds the depths of both." --Ben Orlin, author of Math with Bad Drawings Explore the surprising connections between math and maps--and the myriad ways they've shaped our world and us. Why are coastlines and borders so difficult to measure? How does a UPS driver deliver hundreds of packages in a single day? And where do elusive serial killers hide? The answers lie in the crucial connection between maps and math. In Mapmatics, mathematician Paulina Rowińska leads us on a riveting journey around the globe to discover how maps and math are deeply entwined, and always have been. From a sixteenth-century map, an indispensable navigation tool that exaggerates the size of northern countries, to public transport maps that both guide and confound passengers, to congressional maps that can empower or silence whole communities, she reveals how maps and math have shaped not only our sense of space but our worldview. In her hands, we learn how to read maps like a mathematician--to extract richer information and, just as importantly, to question our conclusions by asking what we don't see. Written with authority and compassion, wit and unforgettable storytelling, this is math exposition at its best. By unpacking the math behind the maps we depend on, Mapmatics illuminates how our world works and, ultimately, how we can better look after it.
The Perfect Handbook for Science
Embark on a captivating journey through the vast realms of science with our comprehensive handbook, meticulously crafted to be your perfect companion. Whether you're a curious novice or a seasoned enthusiast, this book is designed to unlock the mysteries of the universe and deepen your understanding of the natural world. Discover the wonders of physics, unravel the complexities of chemistry, explore the intricacies of biology, and delve into the mysteries of astronomy and earth sciences. Each chapter is expertly curated to provide clear explanations, captivating illustrations, and practical insights into key scientific concepts. Navigate effortlessly through our alphabetical index, ensuring quick access to a wealth of topics-from Acids and Bases to Quantum Mechanics, from Genetics to Plate Tectonics. Thematic groupings further enhance accessibility, guiding you through interconnected fields such as ecology, space exploration, and mathematical foundations. So lets take a leap of faith towards this profound and legible book.
Maths and Technologies in Teaching Practice
This book shows through existing literature how information and communication technologies (ICT) are used as a form of production in the school environment and how those involved in the process make use of these tools in teaching practice. As it is a new tool, it is necessary to encourage older teachers to use these new means in order to achieve excellence, as the Internet can help with guided school research, as well as the use of numerous software programmes to support teachers and students. The book demonstrates the use of ICT and seminars in maths and other subjects.
Markov Decision Problems with Countable State Spaces
No detailed description available for "Markov Decision Problems with Countable State Spaces".
Likelihood Methods in Survival Analysis
Many conventional survival analysis methods, such as the Kaplan-Meier method for survival function estimation and the partial likelihood method for Cox model regression coefficients estimation, were developed under the assumption that survival times are subject to right censoring only. However, in practice, survival time observations may include interval-censored data, especially when the exact time of the event of interest cannot be observed. When interval-censored observations are present in a survival dataset, one generally needs to consider likelihood-based methods for inference. If the survival model under consideration is fully parametric, then likelihood-based methods impose neither theoretical nor computational challenges. However, if the model is semi-parametric, there will be difficulties in both theoretical and computational aspects.Likelihood Methods in Survival Analysis: With R Examples explores these challenges and provides practical solutions. It not only covers conventional Cox models where survival times are subject to interval censoring, but also extends to more complicated models, such as stratified Cox models, extended Cox models where time-varying covariates are present, mixture cure Cox models, and Cox models with dependent right censoring. The book also discusses non-Cox models, particularly the additive hazards model and parametric log-linear models for bivariate survival times where there is dependence among competing outcomes.Features Provides a broad and accessible overview of likelihood methods in survival analysis Covers a wide range of data types and models, from the semi-parametric Cox model with interval censoring through to parametric survival models for competing risks Includes many examples using real data to illustrate the methods Includes integrated R code for implementation of the methods Supplemented by a GitHub repository with datasets and R code The book will make an ideal reference for researchers and graduate students of biostatistics, statistics, and data science, whose interest in survival analysis extend beyond applications. It offers useful and solid training to those who wish to enhance their knowledge in the methodology and computational aspects of biostatistics.
Statistical Methods Using SPSS
Statistical Methods Using SPSS provides a practical approach for better understanding of the advanced statistical concepts that are applied in business, economics, epidemiology, public health, agriculture and other areas of data analytics.
The World through the Lens of Mathematics
This amazing book aims to shatter the barrier between students and mathematics. By encouraging students to look at mathematics from a different perspective, build a bridge between their surroundings and mathematics and, at the same time, enrich them with the culture, history, customs, and geography of different parts of the world.
How to Write & Do Proofs
This Study Guide has been teaching students how to write & do proofs for over 30 years. This text provides an excellent approach for teaching students how to read, understand, and do proofs. The various examples and techniques explains when each technique is likely to be used, based on certain key words that appear in the problem under consideration. Doing so enables students to choose a technique based on the form of the problem. The goal is to enable students to learn advanced mathematics on their own. This book is suitable as: (1) a text for a transition-to-advanced-math course, (2) a supplement to any mathematics course, and (3) self-guided teaching.
AI Empowered Sentiment Analysis
With the popularity of the social media, a large amount of user-generated content, such as comments, is emerging, which is crucial for all industries. Recently, the development of deep learning and computing power have made it possible to handle complex data. However, there are still some including (but are not limited to): (1) How can we construct a multi-modal sentiment analysis framework? (2) How can we accurately extract aspect-sentiment quadruples? (3) How can we generate fine-grained sentiment text? To tackle these challenges, this Special Issue focuses on multi-modal sentiment analysis, aspect-sentiment extraction, interpretability, and so on. In the following, we briefly summarize the selected two papers that we believe will make significant contributions. (1) "Generative Aspect Sentiment Quad Prediction with Self-Inference Template" by Li et al., considered that current research predominantly confines templates to single sentences, limiting the model's reasoning opportunities. Therefore, the authors introduce a self-inference template (SIT) to guide the model in thoughtful reasoning. (2) "Interpretability in Sentiment Analysis: A Self-Supervised Approach to Sentiment Cue Extraction" by Sun et al., proposes a new sentiment cue extraction (SCE) self-supervised framework, aimed at improving the interpretability of models. In conclusion, we extend our heartfelt appreciation to all the authors and reviewers who selflessly put their energy to ensure the successful completion of this Special Issue.
Mathematical Modelling and Numerical Analysis in Electrical Engineering
This special issue focuses on the mathematical modelling and numerical analysis methods employed in electrical engineering applications. The 11 manuscripts included utilize various analytical and computational techniques such as parameter modelling methods and numerical analyses to solve engineering problems in domains such as electric motors, power systems. One of these papers investigates line-start permanent magnet synchronous motors and explores the starting performance when parameters such as the supply voltage and cable length are varied; in addition, simulation and experimental methods are employed to characterize the motor behavior. Another study employs the finite element modelling technique to study the electric field distributions for lightning rod design. Additionally, optimization techniques such as the Nelder-Mead algorithm are applied to optimize a synchronous homopolar motor. Mathematical and numerical analyses of the induction and flux-switching motors are also presented. Transient simulations of the starting and synchronization processes, which incorporate the lumped parameter motor models of a line-start permanent magnet synchronous motor, are also undertaken. Other studies employ accurate models that have been developed for adjustable permanent magnet couplers, external magnetic fields and switched reluctance motors. Validation using finite element analyses and experiments demonstrates the feasibility and superiority of the proposed modelling approaches. The broad range of topics addressed reflects the extensive application of analytical techniques in electrical engineering research.
Advanced Guidance and Control of Flight Vehicle
The application of advanced guidance and control to missiles, hypersonic vehicles, and unmanned aerial vehicles has long represented a research hotspot in academia, and the development of more advanced and intelligent guidance and control technology for flight vehicles has become a focus of research in recent years. In this reprint, studies on the mathematical theory and application of flight vehicle guidance and control are presented. This includes trajectory optimization, online planning, advanced intermediate guidance theoretical methods, terminal guidance theoretical methods, intercept guidance and pursuit and escape guidance, and other topics.
