Potential Method in Mathematical Theories of Multi-Porosity Media
This monograph explores the application of the potential method to three-dimensional problems of the mathematical theories of elasticity and thermoelasticity for multi-porosity materials. These models offer several new possibilities for the study of important problems in engineering and mechanics involving multi-porosity materials, including geological materials (e.g., oil, gas, and geothermal reservoirs); manufactured porous materials (e.g., ceramics and pressed powders); and biomaterials (e.g., bone and the human brain). Proceeding from basic to more advanced material, the first part of the book begins with fundamental solutions in elasticity, followed by Galerkin-type solutions and Green's formulae in elasticity and problems of steady vibrations, quasi-static, and pseudo-oscillations for multi-porosity materials. The next part follows a similar format for thermoelasticity, concluding with a chapter on problems of heat conductionfor rigid bodies. The final chapter then presents a number of open research problems to which the results presented here can be applied. All results discussed by the author have not been published previously and offer new insights into these models.Potential Method in Mathematical Theories of Multi-Porosity Media will be a valuable resource for applied mathematicians, mechanical, civil, and aerospace engineers, and researchers studying continuum mechanics. Readers should be knowledgeable in classical theories of elasticity and thermoelasticity.
Statistics Crash Course for Beginners
Frequentist and Bayesian Statistics Crash Course for BeginnersData and statistics are the core subjects of Machine Learning (ML). The reality is the average programmer may be tempted to view statistics with disinterest. But if you want to exploit the incredible power of Machine Learning, you need a thorough understanding of statistics. The reason is a Machine Learning professional develops intelligent and fast algorithms that learn from data. Frequentist and Bayesian Statistics Crash Course for Beginners presents you with an easy way of learning statistics fast. Contrary to popular belief, statistics is no longer the exclusive domain of math Ph.D.s. It's true that statistics deals with numbers and percentages. Hence, the subject can be very dry and boring. This book, however, transforms statistics into a fun subject. Frequentist and Bayesian statistics are two statistical techniques that interpret the concept of probability in different ways. Bayesian statistics was first introduced by Thomas Bayes in the 1770s. Bayesian statistics has been instrumental in the design of high-end algorithms that make accurate predictions. So even after 250 years, the interest in Bayesian statistics has not faded. In fact, it has accelerated tremendously. Frequentist Statistics is just as important as Bayesian Statistics. In the statistical universe, Frequentist Statistics is the most popular inferential technique. In fact, it's the first school of thought you come across when you enter the statistics world.How Is This Book Different?AI Publishing is completely sold on the learning by doing methodology. We have gone to great lengths to ensure you find learning statistics easy. The result: you will not get stuck along your learning journey. This is not a book full of complex mathematical concepts and difficult equations. You will find that the coverage of the theoretical aspects of statistics is proportionate to the practical aspects of the subject. The book makes the reading process easier by presenting you with three types of box-tags in different colors. They are: Requirements, Further Readings, and Hands-on Time. The final chapter presents two mini-projects to give you a better understanding of the concepts you studied in the previous eight chapters. The main feature is you get instant access to a treasure trove of all the related learning material when you buy this book. They include PDFs, Python codes, exercises, and references-on the publisher's website. You get access to all this learning material at no extra cost. You can also download the Machine Learning datasets used in this book at runtime. Alternatively, you can access them through the Resources/Datasets folder. The quick course on Python programming in the first chapter will be immensely helpful, especially if you are new to Python. Since you can access all the Python codes and datasets, a computer with the internet is sufficient to get started. The topics covered include: A Quick Introduction to Python for StatisticsStarting with ProbabilityRandom Variables and Probability DistributionsDescriptive Statistics: Measure of Central Tendency and SpreadExploratory Analysis: Data VisualizationStatistical InferenceFrequentist InferenceBayesian InferenceHands-on ProjectsClick the BUY NOW button and start your Statistics Learning journey.
A Complete Solution Guide to Real and Complex Analysis I
This is a complete solution guide to all exercises from Chapters 1 to 9 in Rudin's Real and Complex Analysis. The features of this book are as follows: It covers all the 176 exercises from Chapters 1 to 9 with detailed and complete solutions. As a matter of fact, my solutions show every detail, every step and every theorem that I applied. There are 11 illustrations for explaining the mathematical concepts or ideas used behind the questions or theorems. Sections in each chapter are added so as to increase the readability of the exercises. Different colors are used frequently in order to highlight or explain problems, lemmas, remarks, main points/formulas involved, or show the steps of manipulation in some complicated proofs. (ebook only) Necessary lemmas with proofs are provided because some questions require additional mathematical concepts which are not covered by Rudin. Many useful or relevant references are provided to some questions for your future research.
Integrodifference Equations in Spatial Ecology
This book is the first thorough introduction to and comprehensive treatment of the theory and applications of integrodifference equations in spatial ecology. Integrodifference equations are discrete-time continuous-space dynamical systems describing the spatio-temporal dynamics of one or more populations. The book contains step-by-step model construction, explicitly solvable models, abstract theory and numerical recipes for integrodifference equations. The theory in the book is motivated and illustrated by many examples from conservation biology, biological invasions, pattern formation and other areas. In this way, the book conveys the more general message that bringing mathematical approaches and ecological questions together can generate novel insights into applications and fruitful challenges that spur future theoretical developments. The book is suitable for graduate students and experienced researchers in mathematical ecology alike.
Views on Microstructures in Granular Materials
This contributed volume provides an up-to-date overview of the mechanics of granular materials, ranging from sparse media to soils. With chapters exploring state-of-the-art theoretical, experimental, and applied trends in the study of granular matter in various states, readers will be motivated to learn about the current challenges and potential avenues of exploration in this active area of research. Including a variety of perspectives, this volume will be a valuable reference for audiences in a number of fields. Specific topics covered include: X-ray tomography techniques for analyzing sandEvaluation of effective stress in unsaturated soilsHyper-plasticityWave propagation in granular systemsPartly saturated porous mediaMulti-scale approaches to the dynamics of sparse mediaViews on Microstructures in Granular Materials is an ideal resource for PhD students and researchers in applied mathematics, solid-state physics, civil engineering, and mechanical engineering.
Stochastik Rezeptfrei Unterrichten
Das Buch gibt Referendaren, Lehramtsstudierenden und Lehrern konkrete Anregungen f羹r verst瓣ndnisorientierten Stochastik-Unterricht. Es geht ums Entdecken, Begreifen und Verstehen anhand vielf瓣ltiger Inhalte, etwa: Faires Gl羹cksrad, Wartezeiten beim Bingo, Verknoten von Schn羹ren, ...Die einzelnen Kapitel sind relativ unabh瓣ngig voneinander lesbar, der Aufbau ist jeweils einheitlich und beinhaltet: Fachliche Einf羹hrungF羹r welche Sekundarstufe/Klasse, welches Vorwissen wird ben繹tigt?Literaturhinweise zum WeiterlesenHintergrundwissenVideos zum leichteren Einstieg in die Themen
Serious Games for Enhancing Law Enforcement Agencies
This book provides a comprehensive and practically minded introduction into serious games for law enforcement agencies. Serious games offer wide ranging benefits for law enforcement with applications from professional trainings to command-level decision making to the preparation for crises events. This book explains the conceptual foundations of virtual and augmented reality, gamification and simulation. It further offers practical guidance on the process of serious games development from user requirements elicitation to evaluation. The chapters are intended to provide principles, as well as hands-on knowledge to plan, design, test and apply serious games successfully in a law enforcement environment. A diverse set of case studies showcases the enormous variety that is possible in serious game designs and application areas and offers insights into concrete design decisions, design processes, benefits and challenges. The book is meant for law enforcement professionals interested incommissioning their own serious games as well as game designers interested in collaborative pedagogy and serious games for the law enforcement and security sector.
Random Fields of Piezoelectricity and Piezomagnetism
Random fields are a necessity when formulating stochastic continuum theories. In this book, a theory of random piezoelectric and piezomagnetic materials is developed. First, elements of the continuum mechanics of electromagnetic solids are presented. Then the relevant linear governing equations are introduced, written in terms of either a displacement approach or a stress approach, along with linear variational principles. On this basis, a statistical description of second-order (statistically) homogeneous and isotropic rank-3 tensor-valued random fields is given. With a group-theoretic foundation, correlation functions and their spectral counterparts are obtained in terms of stochastic integrals with respect to certain random measures for the fields that belong to orthotropic, tetragonal, and cubic crystal systems. The target audience will primarily comprise researchers and graduate students in theoretical mechanics, statistical physics, and probability.
Selected Contributions on Statistics and Data Science in Latin America
Anzarut, M., Gonz獺lez, L. F., and Ortiz, M. T: A Heavy-tailed Multilevel Mixture Model for the Quick Count in the Mexican Elections of 2018.- Baltazar, F. and Esparza, L. J. R: Bayesian estimation for the Markov-Modulated Diffusion Risk Model.- Sergio, A. B., Johny, J. P., Ana, B. N., and Purificaci織on, G: Meta-analysis in DTA with hierarchical models Bivariate and HSROC: Simulation study.- Coen, A. and Chaparro, B. G: Compound Dirichlet Processes.- Guti織errez, E. and Walker, S. G: An efficient method to determine the degree of overlap of two multivariate distributions.- Mart織ınez, A. F.: Clustering via non-symmetric partition distributions.- Naranjo, L., Fuentes, R., and P織erez, C, J: A Flexible Replication-Based Classification Approach for Parkinson's Disease Detection by Using Voice Recordings.- Novoa, F., Espinoza, S. C., P織erez, A. C., and Duque, I. H: Calibration of population growth mathematical models by using time series.- Castro, E. P., Jaimes, F. G., Rodr織ıguez, E. B., Carreto, R. R., Roque, R. L., Leyva, V. V: Impact of the Red Code process using structural equation models.- Esparza, L. J. R.: On a construction of stationary processes via Bilateral Matrix-Exponential distributions.- Richards, E. I. V., Gallagher, E., and Su織arez, P: BoostNet: Bootstrapping detection of socialbots, and a case study from Guatemala.
Mathematik F羹r Technische Studieng瓣nge Im Ersten Studienjahr
Das vorliegende Lehr- und Arbeitsbuch, das im Wesentlichen die mathematische Grundausbildung im ersten Studienjahr technisch- und naturwissenschaftlich orientierter Studieng瓣nge abdeckt, verfolgt zwei Ziele: Zum einen sollen praxisrelevante mathematische Methoden einge羹bt werden, wie es etwa in ingenieurwissenschaftlichen Studieng瓣ngen gefordert wird. Zum anderen sollen Studierende die F瓣higkeit erwerben, sich selbstst瓣ndig in unbekannte mathematische Texte einzuarbeiten. Letzteres ist notwendig, weil eine mathematische Grundausbildung niemals alle Themen abdecken kann, die im weiteren Studium oder sp瓣ter im Arbeitsleben m繹glicherweise gebraucht werden. Hier w羹rden auswendig gelernte Kochrezepte scheitern - stattdessen sollten Zusammenh瓣nge erkannt werden. Das vorliegende Buch erleichtert dies durch einen formal-theoretischen Rahmen sowie einen logisch konsistenten Aufbau inklusive ausf羹hrlicher Beweise f羹r fast alle Behauptungen. Praxisbez羹ge werden insbesondere hergestellt zur Physik, Signal- und Systemtheorie sowie Energietechnik.Weitere didaktische Besonderheiten des Buches: Im Text sind kleine ?bungen und Verst瓣ndnisfragen eingestreut, die den Leser beim Durcharbeiten des Stoffes zum aktiven Mitmachen anregen. Nach jedem Abschnitt werden au?erdem ?bungsaufgaben angeboten, die in Rechen- und Theorieaufgaben unterteilt sind. Erstere dienen dem Anwenden und Ein羹ben der wesentlichen Rechenmethoden, letztere dem Verstehen und Erkennen von Zusammenh瓣ngen. ?ber 250 Abbildungen und Diagramme st瓣rken die Anschauungskraft des Lesers.
Optimization and Applications
This book constitutes the refereed proceedings of the 11th International Conference on Optimization and Applications, OPTIMA 2020, held in Moscow, Russia, in September-October 2020.*The 21 full and 2 short papers presented were carefully reviewed and selected from 60 submissions. The papers cover such topics as mathematical programming, combinatorial and discrete optimization, optimal control, optimization in economics, finance, and social sciences, global optimization, and applications. * The conference was held virtually due to the COVID-19 pandemic.
Mathe f羹r Helden
Zwei Abenteurer suchen die Orakelsteine K繹nig Davids; Sherlock Holmes entr瓣tselt Moriartys letztes Geheimnis; ein FBI-Team untersucht einen Mord und entdeckt dabei einen Bauskandal; ein junger Mann soll in einer Parallelwelt eine K繹nigin retten; ein Professor und eine Journalistin entlarven einen wissenschaftlichen Betrug; eine Dame tritt eine skurrile Erbschaft an; eine Ingenieurin st繹?t auf dem Mond auf einen Saboteur; ein Schmuggler trifft eine Piratentochter, die mit ihm einen Schatz heben will. Und jedes Mal sind dabei diverse Mathematikaufgaben zu l繹sen. Aber Achtung: Die meisten sind wirklich Oberstufenniveau - f羹r Helden eben. Die Abenteuergeschichten entstanden in der aktiven Zeit des Autors als Gymnasiallehrer, um seine Mathematikkurse unterhaltsam und sinnvoll zu besch瓣ftigen, wenn er infolge Fortbildung den Unterricht nicht wie gewohnt abhalten konnte.
Frontiers in Functional Equations and Analytic Inequalities
This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics: Hyperstability of a linear functional equation on restricted domainsHyers-Ulam's stability results to a three point boundary value problem of nonlinear fractional order differential equationsTopological degree theory and Ulam's stability analysis of a boundary value problem of fractional differential equationsGeneral Solution and Hyers-Ulam Stability of Duo Trigintic Functional Equation in Multi-Banach SpacesStabilities of Functional Equations via Fixed Point TechniqueMeasure zero stability problem for the Drygas functional equation with complex involutionFourier Transforms and Ulam Stabilities of Linear Differential EquationsHyers-Ulam stability of a discrete diamond-alpha derivative equationApproximate solutions of an interesting new mixed type additive-quadratic-quartic functional equation. The diverse selection of inequalities covered includes Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, Polya-Ostrowski, Hardy, Hermite-Hadamard, Levinson, and complex Korovkin type. The inequalities are also in the environments of Fractional Calculus and Conformable Fractional Calculus. Applications from this book's results can be found in many areas of pure and applied mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such, this volume is suitable for researchers, graduate students and related seminars, and all science and engineering libraries. The exhibited thirty six chapters are self-contained and can be read independently and interesting advanced seminars can be given out of this book.
Modeling Excitable Tissue
Derivation of a cell-based mathematical model of excitable cells.- A cell-based model for ionic electrodiffusion in excitable tissue.- Modeling cardiac mechanics on a subcellular scale.- Operator splitting and finite difference schemes for solving the EMI model.- Solving the EMI equations using finite element methods.- Iterative solvers for EMI models.- Improving neural simulations with the EMI model.- Index.
Erwartungswert und Varianz bei stetigen Zufallsvariablen. Ein einleitende ?bersicht
Fachbuch aus dem Jahr 2020 im Fachbereich Mathematik - Stochastik, Note: 1,7, Universit瓣t Hildesheim (Stiftung), Sprache: Deutsch, Abstract: In der folgenden Arbeit wird die Autorin die grundlegenden Begriffe definieren dieses Teils der Stochastik zu beschreiben. Dabei geht sie zun瓣chst allgemein auf Zufallsvariablen ein und beschreibt dann die Eigenschaften von stetigen Zufallsvariablen. Eine stetige Zufallsvariable kann jeden Wert innerhalb eines Zahlenintervalls annehmen. Die Wahrscheinlichkeiten werden dabei durch sogenannte Dichtefunktionen festgelegt. Diese werde ich kurz erl瓣utern, um eine Grundlage f羹r den Hauptteil zu schaffen.
Mathematik Studieren
​In diesem Ratgeber finden Sie Informationen, die Ihnen bei der Beantwortung der Frage helfen k繹nnen, ob Sie Mathematik studieren sollen, und wenn ja, an welcher Universit瓣t und mit welcher Schwerpunktsetzung. Im Mittelpunkt steht eine realistische und konkrete Beschreibung des Studienablaufs und der gestellten Anforderungen. Die Beschreibung der einzelnen Studienelemente wird durch konstruktive Ratschl瓣ge zur Bew瓣ltigung der jeweiligen Aufgaben und der verf羹gbaren Unterst羹tzungsangebote erg瓣nzt. Zur leichteren Orientierung gibt es im letzten Kapitel noch einen groben ?berblick 羹ber die mathematischen Themenfelder, die in einem Mathematikstudium behandelt werden.
Introduction to Statistics with the Wolfram Language
Introduction to Statistics with the Wolfram Language applies the extensive computational power of the Wolfram Language to the field of statistics. Starting from the basics and working through a range of foundational concepts, Klopper shows just how accessible computational statistics canbe given the appropriate tool set. Topics include descriptive statistics, distributions, hypothesis testing, parametric testing, correlation and much more. Follow along as Klopper offers step-by-step instructions and relevant exercises from the field of medical statistics designed to teach readers how to understand and present data in today's increasingly data-driven world.The Wolfram Language represents a major advance in programming languages that makes leading edge computation accessible to everyone. Unique in its approach of having vast built-in knowledge and automation, the Wolfram Language scales from a single line of easy-to-understand interactive code to million-line production systems. wolfram.com/languageExplore the author's Wolfram Notebooks and look for updates in Coursera and Wolfram U for use with this book! wolfr.am/klopperWolfram Notebooks are viewable for free with Wolfram Player. wolfram.com/player
Artificial Mathematical Intelligence
This volume discusses the theoretical foundations of a new inter- and intra-disciplinary meta-research discipline, which can be succinctly called cognitive metamathematics, with the ultimate goal of achieving a global instance of concrete Artificial Mathematical Intelligence (AMI). In other words, AMI looks for the construction of an (ideal) global artificial agent being able to (co-)solve interactively formal problems with a conceptual mathematical description in a human-style way. It first gives formal guidelines from the philosophical, logical, meta-mathematical, cognitive, and computational points of view supporting the formal existence of such a global AMI framework, examining how much of current mathematics can be completely generated by an interactive computer program and how close we are to constructing a machine that would be able to simulate the way a modern working mathematician handles solvable mathematical conjectures from a conceptual point of view. The thesis that it is possible to meta-model the intellectual job of a working mathematician is heuristically supported by the computational theory of mind, which posits that the mind is in fact a computational system, and by the meta-fact that genuine mathematical proofs are, in principle, algorithmically verifiable, at least theoretically. The introduction to this volume provides then the grounding multifaceted principles of cognitive metamathematics, and, at the same time gives an overview of some of the most outstanding results in this direction, keeping in mind that the main focus is human-style proofs, and not simply formal verification. The first part of the book presents the new cognitive foundations of mathematics' program dealing with the construction of formal refinements of seminal (meta-)mathematical notions and facts. The second develops positions and formalizations of a global taxonomy of classic and new cognitive abilities, and computational tools allowing for calculation of formal conceptual blends are described. In particular, a new cognitive characterization of the Church-Turing Thesis is presented. In the last part, classic and new results concerning the co-generation of a vast amount of old and new mathematical concepts and the key parts of several standard proofs in Hilbert-style deductive systems are shown as well, filling explicitly a well-known gap in the mechanization of mathematics concerning artificial conceptual generation.
Game Theory
GAME THEORYAlthough game theory as a salient concept is relatively young, the principles behind game theory have for millennia allowed humans to anticipate the behavior of their fellows and work out compelling exchanges that suit everyone's self-interest, allowing people to benefit both individually and collectively.This book serves as a complete guide to game theory, and will explain the principles of game theory, while also providing practical examples such as the Prisoner's Dilemma, and the role that game theory played during the Cold War.Game theory principles are used to inform strategists, entrepreneurs, politicians, analysts, and philosophers, and help them make strong decisions in military, commercial, social, and moral areas. In all things, game theory principles can be used to logically minimize risk, reduce the chances of calamity, and gain an understanding of rational human behavior.Whether you're trying to help your team cooperate or you're ambitiously trying to figure out your next campaign strategy, game theory can be a useful tool for you in all arenas of the modern world!
Game Theory
GAME THEORYAlthough game theory as a salient concept is relatively young, the principles behind game theory have for millennia allowed humans to anticipate the behavior of their fellows and work out compelling exchanges that suit everyone's self-interest, allowing people to benefit both individually and collectively.This book serves as a complete guide to game theory, and will explain the principles of game theory, while also providing practical examples such as the Prisoner's Dilemma, and the role that game theory played during the Cold War.Game theory principles are used to inform strategists, entrepreneurs, politicians, analysts, and philosophers, and help them make strong decisions in military, commercial, social, and moral areas. In all things, game theory principles can be used to logically minimize risk, reduce the chances of calamity, and gain an understanding of rational human behavior.Whether you're trying to help your team cooperate or you're ambitiously trying to figure out your next campaign strategy, game theory can be a useful tool for you in all arenas of the modern world!
Multilevel Strategic Interaction Game Models for Complex Networks
This book provides a state-of-the-art overview on the dynamics and coevolution in multi-level strategic interaction games. As such it summarizes the results of the European CONGAS project, which developed new mathematical models and tools for the analysis, prediction and control of dynamical processes in systems possessing a rich multi-level structure and a web of interwoven interactions among elements with autonomous decision-making capabilities. The framework is built around game theoretical concepts, in particular evolutionary and multi-resolution games, and includes also techniques drawn from graph theory, statistical mechanics, control and optimization theory. Specific attention is devoted to systems that are prone to intermittency and catastrophic events due to the effect of collective dynamics.
The Fitted Finite Volume and Power Penalty Methods for Option Pricing
This book contains mostly the author's up-to-date research results in the area. Option pricing has attracted much attention in the past decade from applied mathematicians, statisticians, practitioners and educators. Many partial differential equation-based theoretical models have been developed for valuing various options. These models do not have any practical use unless their solutions can be found. However, most of these models are far too complex to solve analytically and numerical approximations have to be sought in practice. The contents of the book consist of three parts: (i) basic theory of stochastic control and formulation of various option pricing models, (ii) design of finite volume, finite difference and penalty-based algorithms for solving the models and (iii) stability and convergence analysis of the algorithms. It also contains extensive numerical experiments demonstrating how these algorithms perform for practical problems. The theoretical and numericalresults demonstrate these algorithms provide efficient, accurate and easy-to-implement numerical tools for financial engineers to price options. This book is appealing to researchers in financial engineering, optimal control and operations research. Financial engineers and practitioners will also find the book helpful in practice.
Methods and Applications of Sample Size Calculation and Recalculation in Clinical Trials
This book provides an extensive overview of the principles and methods of sample size calculation and recalculation in clinical trials. Appropriate calculation of the required sample size is crucial for the success of clinical trials. At the same time, a sample size that is too small or too large is problematic due to ethical, scientific, and economic reasons. Therefore, state-of-the art methods are required when planning clinical trials. Part I describes a general framework for deriving sample size calculation procedures. This enables an understanding of the common principles underlying the numerous methods presented in the following chapters. Part II addresses the fixed sample size design, where the required sample size is determined in the planning stage and is not changed afterwards. It covers sample size calculation methods for superiority, non-inferiority, and equivalence trials, as well as comparisons between two and more than two groups. A wide range of further topics is discussed, including sample size calculation for multiple comparisons, safety assessment, and multi-regional trials. There is often some uncertainty about the assumptions to be made when calculating the sample size upfront. Part III presents methods that allow to modify the initially specified sample size based on new information that becomes available during the ongoing trial. Blinded sample size recalculation procedures for internal pilot study designs are considered, as well as methods for sample size reassessment in adaptive designs that use unblinded data from interim analyses. The application is illustrated using numerous clinical trial examples, and software code implementing the methods is provided. The book offers theoretical background and practical advice for biostatisticians and clinicians from the pharmaceutical industry and academia who are involved in clinical trials. Covering basic as well as more advanced and recently developed methods, it is suitable forbeginners, experienced applied statisticians, and practitioners. To gain maximum benefit, readers should be familiar with introductory statistics. The content of this book has been successfully used for courses on the topic.
Angewandte Statistik
Dieses Standardwerk f羹r statistische Methoden in den Biowissenschaften und der Medizin stellt leicht verst瓣ndlich, anschaulich und praxisnah sowohl Studenten und Dozenten als auch Praktikern alle notwendigen Methoden zur gezielten und umsichtigen Datengewinnung, -analyse und -beurteilung zur Verf羹gung. Neben Hinweisen und Empfehlungen zur Planung und Auswertung von Studien erm繹glichen zahlreiche Beispiele, Querverweise, weiterf羹hrende Hinweise sowie ein ausf羹hrliches Sachverzeichnis einen breit gef瓣cherten Zugang zur Statistik. Ein Verzeichnis zahlreicher Anwendungsbeispiele erleichtert dem neugierigen Anwender und Praktiker den Einstieg.Auch in der 17. Auflage erfolgten an vielen Stellen Pr瓣zisierungen und vertiefende Erg瓣nzungen, u.a. zu Konfidenzintervallen f羹r Variationskoeffizienten und Referenzwerte, zur ?berpr羹fung von Defektraten, dem Ausschluss von Nullergebnissen oder der Formulierung von Hypothesen hinsichtlich ?quivalenz, ?berlegenheit oder Nicht-Unterlegenheit. Der Abschnitt zur logistischen Regression wurde erg瓣nzt um die Erstellung von Nomogrammen zur Unterst羹tzung von Modellrechnungen sowie um Hinweise zur G羹te der Klassifikation (ROC-Analyse) und die Anwendung des Modells im Propensity-Score Matching. Im Abschnitt zu den Modellen der ?berlebenszeitanalyse ist nun ein Hinweis auf das parametrische Gompertz-Modell aufgenommen und zu der Modellrechnung (Prognose) aus dem Cox-Modell wird auf die anschauliche Darstellung mit Nomogrammen verwiesen. Viele Abbildungen und das Sachverzeichnis wurden 羹berarbeitet, das Literaturverzeichnis wurde aktualisiert. Das frei verf羹gbare Programm R ist ein leicht erlernbares und flexibel einzusetzendes Werkzeug, mit dem der Prozess der Datenanalyse verstanden und gestaltet werden kann. Die Anwendung und der Nutzen des R-Programms werden in diesem Buch anhand zahlreicher Beispiele veranschaulicht. Das Buch dient zum Lernen, Nachschlagen und Anwenden bei unterschiedlichen Vorkenntnissen und breit gestreuten Interessen und richtet sich somit an jeden, der an der Auswertung korrekt gewonnener Daten interessiert ist - insbesondere Biologen, Mediziner, Ingenieure und weitere Naturwissenschaftler - sowohl in der Hochschule als auch in der Praxis.
The Chief Data Officer Management Handbook
There is no denying that the 21st century is data driven, with many digital industries relying on careful collection and analysis of mass volumes of information. A Chief Data Officer (CDO) at a company is the leader of this process, making the position an often daunting one. The Chief Data Officer Management Handbook is here to help.With this book, author Martin Treder advises CDOs on how to be better prepared for their swath of responsibilities, how to develop a more sustainable approach, and how to avoid the typical pitfalls. Based on positive and negative experiences shared by current CDOs, The Chief Data Officer Management Handbook guides you in designing the ideal structure of a data office, implementing it, and getting the right people on board.Important topics such as the data supply chain, data strategy, and data governance are thoughtfully covered by Treder. As a CDO it is important to use your position effectively with your entire team. The Chief Data Officer Management Handbook allows all employees to take ownership in data collaboration. Data is the foundation of present and future tech innovations, and you could be the leader that makes the next big impact.What You Will LearnApply important elements of effective data managementGain a comprehensive overview of all areas of data (which are often managed independently Work with the data supply chain, from data acquisition to its usage, a review of all relevant stakeholders, data strategy, and data governanceWho This Book is ForCDOs, data executives, data advisors, and all professionals looking to understand about how a data office functions in an organization.
Numerische Mathematik 3
Das Lehrbuch behandelt adaptive Algorithmen f羹r die numerische L繹sung von elliptischen und parabolischen Gleichungen, wobei der Schwerpunkt auf der algorithmischen Effizienz liegt und die notwendige Theorie so elementar wie m繹glich gehalten wird. Die zweite Ausgabe wurde korrigiert und um eine constraints-basierte Formulierung der Dirichlet-Randbedingungen und einen Abschnitt 羹ber spektrale verz繹gerte Korrekturmethoden erweitert.
Proofs 101
This book serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and Linear Algebra. It prepares students for the proofs they will need to analyse and write, the axiomatic nature of mathematics, and the rigors of upper-level mathematics courses.
Signal Processing
This book explains how mathematical tools can be used to solve problems in signal processing. Assuming an advanced undergraduate- or graduate-level understanding of mathematics, this second edition contains new chapters on convolution and the vector DFT, plane-wave propagation, and the BLUE and Kalman filters. It expands the material on Fourier
R Markdown Cookbook
This book is designed to provide a range of examples of how to extend the functionality of your R Markdown documents. As a cookbook, this guide is recommended to new or intermediate R Markdown users.
Geometrical Dimensioning and Tolerancing for Design, Manufacturing and Inspection
Geometrical Dimensioning and Tolerancing for Design, Manufacturing and Inspection: A Handbook for Geometrical Product Specification Using ISO and ASME Standards, Third Edition presents the state-of-the art in geometrical dimensioning and tolerancing. The book describes the international standardization in this field while also indicating how it differs from the American Standard ASME Y14.5M. The general principles of geometric dimensioning and tolerancing are described, helping users define precision-related specifications unambiguously and consistently with the constraints of the manufacturing and inspection processes. Principles for the inspection of geometrical deviations are given, along with a basis for tolerancing suitable for inspection. Since publication of the second edition of this book in 2006 more than ten ISO GPS standards have been revised, involving the introduction of new symbols and concepts, and in many cases default interpretation of the tolerance indicators have changed, in addition two new versions of American standard ASME Y14.5 (2009 and 2018) have appeared. This book is an ideal introduction to geometrical dimensioning and tolerancing for students, and an essential reference for researchers and practitioners in the fields of design, manufacturing and inspection.
Operator Theory and Differential Equations
This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July 2019. Intended for mathematicians specializing in operator theory, functional spaces, differential equations or mathematical modeling, the book provides a state-of-the-art account of various fascinating areas of operator theory, ranging from various classes of operators (positive operators, convolution operators, backward shift operators, singular and fractional integral operators, partial differential operators) to important applications in differential equations, inverse problems, approximation theory, metric theory of surfaces, the Hubbard model, social stratification models, and viscid incompressible fluids.
Variational Techniques for Elliptic Partial Differential Equations
This book, intended for graduate students studying applied math, analysis, and/or numerical analysis, provides the necessary tools to understand the structure and solvability of elliptic partial differential equations.
Transmission Dynamics of Tick-Borne Diseases with Co-Feeding, Developmental and Behavioura
This monograph introduces some current developments in the modelling of the spread of tick-borne diseases. Effective modelling requires the integration of multiple frameworks. Here, particular attention is given to the previously neglected issues of tick developmental and behavioral diapause, tick-borne pathogen co-feeding transmission, and their interactions. An introduction to the required basics of structured population formulations and delay differential equations is given, and topics for future study are suggested. The described techniques will also be useful in the study of other vector-borne diseases. The ultimate aim of this project is to develop a general qualitative framework leading to tick-borne disease risk predictive tools and a decision support system. The target audience is mathematical biologists interested in modelling tick population dynamics and tick-borne disease transmission, and developing computational tools for disease prevention and control.
Handbook of Statistical Distributions with Applications
This handbook provides quick access to common and specialized probability distributions for modeling practical problems and performing statistical calculations. This second edition enhances the PC calculator StatCalc with electronic help manuals and now contains R functions for cases where StatCalc is not applicable, with the codes
Monte-Carlo Methods and Stochastic Processes
This text focuses on the simulation of stochastic processes in continuous time and their link with PDEs. It covers linear and nonlinear problems in biology, finance, geophysics, mechanics, chemistry, and other application areas. The text also thoroughly develops the problem of numerical integration and computation of expectation by the Monte-Car
Business Experiments with R
BUSINESS EXPERIMENTS with R A unique text that simplifies experimental business design and is dedicated to the R language Business Experiments with R offers a guide to, and explores the fundamentals of experimental business designs. The book fills a gap in the literature to provide a text on the topic of business statistics that addresses issues such as small samples, lack of normality, and data confounding. The author--a noted expert on the topic--puts the focus on the A/B tests (and their variants) that are widely used in industry, but not typically covered in business statistics textbooks. The text contains the tools needed to design and analyze two-treatment experiments (i.e., A/B tests) to answer business questions. The author highlights the strategic and technical issues involved in designing experiments that will truly affect organizations. The book then builds on the foundation in Part I and expands the multivariable testing. Since today's companies are using experiments to solve a broad range of problems, Business Experiments with R is an essential resource for any business student. This important text: Presents the key ideas that business students need to know about experiments Offers a series of examples, focusing on a specific business question Helps develop the ability to frame ill-defined problems and determine what data and analysis would provide information about that problem Written for students of general business, marketing, and business analytics, Business Experiments with R is an important text that helps to answer business questions by highlighting the strategic and technical issues involved in designing experiments that will truly affect organizations.
Financial Risk Management for Cryptocurrencies
- Part I Introduction to Cryptocurrencies. - Blockchain. - Types of Cryptocurrencies. - Part II Risk in Dealing with Cryptocurrencies. - Qualitative Risks. - Quantitative Risks. - Futures and Options on Cryptocurrencies. - Portfolio Management. - Further Related Work. - Part III Summary and Conclusion. - Conclusion.
Applied Probability and Stochastic Processes
Hermann Thorisson, Shift-Coupling and Maximality.- Ashok Krishnan K. S, Vinod Sharma, Diffusion Approximation Analysis of Multihop Wireless Networks: Quality of Service and Convergence of Stationary Distribution.- Liu Mei, Alexander Dudin, Analysis of Retrial Queue with Heterogeneous Servers and Markovian Arrival Process.- Krishna B. Athreya, What is Standard Brownian Motion?.- Srinivas R. Chakravarthy, Busy Period Analysis of multi-server retrial queueing systems.- Alexander Rumyantsev, Garimella Rama Murthy, Steady State and Transient Analysis of a Single Channel Cognitive Radio Model with Impatience and Balking.- Shruti Kapoor, S. Dharmaraja, Applications of Fluid Queues in Rechargeable Batteries.- Souvik Ghosh, A. D. Banik, M. L. Chaudhry, Analysis of BMAP/R/1 Queues under Gated-limited Service with the Server's Single Vacation Policy.- G. Arivarignan, M. Keerthana, B. Sivakumar, A Production Inventory System with Renewal and Retrial Demands.- U. C. Gupta, Nitin Kumar, F. P. Barbhuiya, A Queueing System with Batch Renewal Input and Negative Arrivals.- Ekaterina Fedorova, Anatoly Nazarov, Alexander Moiseev, Asymptotic Analysis Methods for Multi-sever Retrial Queueing Systems.- Ekaterina Lisovskaya, Michele Pagano, On the Application of Dynamic Screening Method to Resource Queueing System with Infinite Servers.- Ari Arapostathis, Vivek S. Borkar, Controlled Versions of the Collatz-Wielandt and Donsker-Varadhan Formulae.- Malini S, DhanyaShajin, An (s, S) Production Inventory System with State Dependent Production Rate and Lost Sales.- Dibu A. S., M. J. Jacob, Analysis of a MAP Risk Model with Stochastic Incomes, Inter-Dependent Phase-Type Claims and a Constant Barrier.- Salini S. Nair, K. P. Jose, A PH Distributed Production Inventory Model with Different Modes of Service and Map Arrivals.- Kavya P., M. Manoharan, On a Generalized Lifetime Model Using DUS Transformation.- V. P. Praveen, M. Manoharan, Analysis of Inventory Control Model for Items Having General Deterioration Rate.- A. Krishnamoorthy, V. Divya, A Two-Server Queueing System with Processing of Service Items by a Sever.- SinuLal T. S, A. Krishnamoorthy, V. C. Joshua, Vladimir Vishnevsky, A Two Stage Tandem Queue with Specialist Servers.- Jomy Punalal, S. Babu, Retrial Queueing System with Self-Generation of Priorities and Customer Induced Interruption.- D. Kannan, Lina Ma, Valuation of Reverse Mortgage.- Rostislav Razumchik, LusineMeykhanadzhyan, Stationary Distribution of Discrete-Time and Finite-Capacity Queue with Resequencing.- ChiranjibMukherjee, S. R. S. Varadhan, The Polaron Measure.- Tuan Phung Duc, Batch Arrival Multiserver Queue with State-Dependent Setup for Energy Saving Data Center.- T. E. Govindan, Weak Convergence of Probability Measures of Trotter-Kato Approximate Solutions of Stochastic Evolution Equations.- Vladimir Vishnevsky, Andrey Larionov, Stochastic Multiphase Models and Their Application for Analysis of End-To-End Delays in Wireless Multihop Networks.- Garimella Rama Murthy, Variance Laplacian: Quadratic Forms in Statistics.- B. Rajeev, On the Feynman-Kac Formula.- Ekaterina Lisovskaya, Svetlana Moiseeva, Michele Pagano, Ekaterina Pankratova, Heterogeneous Resource Queueing System with Renewal Arrival Process.
R Markdown Cookbook
This book is designed to provide a range of examples of how to extend the functionality of your R Markdown documents. As a cookbook, this guide is recommended to new or intermediate R Markdown users.
Direct and Inverse Finite-Dimensional Spectral Problems on Graphs
Considering that the motion of strings with finitely many masses on them is described by difference equations, this book presents the spectral theory of such problems on finite graphs of strings. The direct problem of finding the eigenvalues as well as the inverse problem of finding strings with a prescribed spectrum are considered. This monograph gives a comprehensive and self-contained account on the subject, thereby also generalizing known results. The interplay between the representation of rational functions and their zeros and poles is at the center of the methods used. The book also unravels connections between finite dimensional and infinite dimensional spectral problems on graphs, and between self-adjoint and non-self-adjoint finite-dimensional problems. This book is addressed to researchers in spectral theory of differential and difference equations as well as physicists and engineers who may apply the presented results and methods to their research.
Regression Models for the Comparison of Measurement Methods
This book provides an updated account of the regression techniques employed in comparing analytical methods and to test the biases of one method relative to others - a problem commonly found in fields like analytical chemistry, biology, engineering, and medicine. Methods comparison involves a non-standard regression problem; when a method is to be tested in a laboratory, it may be used on samples of suitable reference material, but frequently it is used with other methods on a range of suitable materials whose concentration levels are not known precisely. By presenting a sound statistical background not found in other books for the type of problem addressed, this book complements and extends topics discussed in the current literature. It highlights the applications of the presented techniques with the support of computer routines implemented using the R language, with examples worked out step-by-step. This book is a valuable resource for applied statisticians, practitioners, laboratoryscientists, geostatisticians, process engineers, geologists and graduate students.
Applied Regression Modeling
Master the fundamentals of regression without learning calculus with this one-stop resource The newly and thoroughly revised 3rd Edition of Applied Regression Modeling delivers a concise but comprehensive treatment of the application of statistical regression analysis for those with little or no background in calculus. Accomplished instructor and author Dr. Iain Pardoe has reworked many of the more challenging topics, included learning outcomes and additional end-of-chapter exercises, and added coverage of several brand-new topics including multiple linear regression using matrices. The methods described in the text are clearly illustrated with multi-format datasets available on the book's supplementary website. In addition to a fulsome explanation of foundational regression techniques, the book introduces modeling extensions that illustrate advanced regression strategies, including model building, logistic regression, Poisson regression, discrete choice models, multilevel models, Bayesian modeling, and time series forecasting. Illustrations, graphs, and computer software output appear throughout the book to assist readers in understanding and retaining the more complex content. Applied Regression Modeling covers a wide variety of topics, like: Simple linear regression models, including the least squares criterion, how to evaluate model fit, and estimation/prediction Multiple linear regression, including testing regression parameters, checking model assumptions graphically, and testing model assumptions numerically Regression model building, including predictor and response variable transformations, qualitative predictors, and regression pitfalls Three fully described case studies, including one each on home prices, vehicle fuel efficiency, and pharmaceutical patches Perfect for students of any undergraduate statistics course in which regression analysis is a main focus, Applied Regression Modeling also belongs on the bookshelves of non-statistics graduate students, including MBAs, and for students of vocational, professional, and applied courses like data science and machine learning.
Spectral Theory of Dynamical SystemsSecond Edition
This book discusses basic topics in the spectral theory of dynamical systems. It also includes two advanced theorems, one by H. Helson and W. Parry, and another by B. Host. Moreover, Ornstein's family of mixing rank-one automorphisms is given with construction and proof. Systems of imprimitivity and their relevance to ergodic theory are also examined. Baire category theorems of ergodic theory, scattered in literature, are discussed in a unified way in the book. Riesz products are introduced and applied to describe the spectral types and eigenvalues of rank-one automorphisms. Lastly, the second edition includes a new chapter "Calculus of Generalized Riesz Products", which discusses the recent work connecting generalized Riesz products, Hardy classes, Banach's problem of simple Lebesgue spectrum in ergodic theory and flat polynomials.
Der Laplacesche D瓣mon
Dieses Buch nimmt Sie mit auf eine spannende Reise durch die Welt der Wissenschaft: von den Fallgesetzen des Galilei bis zu Einsteins Gravitationswellen, von Newtons Axiomen bis zum Wasserstoffatom, von der nat羹rlichen Auslese bis zum Schwarmverhalten, von der Skala der Empfindungen bis zu den Grenzen des Wachstums auf unserem Planeten. Sie lernen Differentialgleichungen als m瓣chtiges Instrument kennen, das die Mathematik zur Erforschung der Natur bereitstellt. Ihre L繹sungen enth羹llen, um mit Laplace zu sprechen, die Bewegungen der gr繹?ten Weltk繹rper und des kleinsten Atoms und vieles von dem, was dazwischen liegt - einschlie?lich unserer selbst. Lassen Sie sich von Wolfgang Tschirk begeistern: Er gew瓣hrt Ihnen einen unterhaltsamen Blick auf die Verstandesleistungen jener, die dem Laplaceschen D瓣mon St羹ck f羹r St羹ck sein Geheimnis ablauschen. Um Macht und Sch繹nheit der Differentialgleichungen zu erleben, sollten Sie Affinit瓣t zur Mathematik mitbringen und auchvor Formeln nicht zur羹ckschrecken. Aber Sie werden sehen: Entgegen ihrem Ruf sind Differentialgleichungen im Grunde leicht zu verstehen und oft sogar leicht zu l繹sen.
Selected Contributions to Game Theory
Robert Aumann was awarded (jointly with Thomas C Schelling) the 2005 Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel "for having enhanced our understanding of conflict and cooperation through game-theory analysis". This book contains ten of his most important contributions to game theory, as selected by Eric Maskin, also a Nobel laureate.
Yohaku
Yohaku(TM) is a new type of number puzzle created by Mike Jacobs. It will test your number sense and problem solving skills. Each yohaku is either an additive or a multiplicative puzzle (as indicated by the symbol in the bottom right of the grid). Your task is to fill in the empty cells such that they give the sum or product shown in each row and column.Yohakus are great for use in classrooms as a lesson starter, or for the morning commute, or for something to accompany an afternoon cup of tea. Some yohakus will take a few minutes to solve, others will have you puzzling for longer.
Learn Data Structures and Algorithms
A data structure is a named location that can be used to store and organize data. And, an algorithm is a collection of steps to solve a particular problem. Learning data structures and algorithms allow us to write efficient and optimized computer programs. Once you have knowledge about different data structures and algorithms, you can determine which data structure and algorithm to choose in various conditions. Having knowledge about data structures and algorithms will help you write codes that run faster and require less storage. Data structures and algorithms questions are frequently asked in job interviews of various organizations.
Mathematical Concepts of Quantum Mechanics
The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline.Starting with an overview of key physical experiments illustrating the origin of the physical foundations, the book proceeds with a description of the basic notions of quantum mechanics and their mathematical content.It then makes its way to topics of current interest, specifically those in which mathematics plays an important role. The more advanced topics presented include: many-body systems, modern perturbation theory, path integrals, the theory of resonances, adiabatic theory, geometrical phases, Aharonov-Bohm effect, density functional theory, open systems, the theory of radiation (non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. Some of the sections could be used for introductions to geometrical methods in Quantum Mechanics, to quantum information theory and to quantum electrodynamics and quantum field theory.
