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Mathematics and Statistics (R0)

George Isac

Leray-Schauder Type Alternatives, Complementarity Problems and Variational Inequalities

Preliminary Notions.- Complementarity Problems and Variational Inequalities.- Leray-Schauder Alternatives.- The Origin of the Notion of Exceptional Family of Elements.- Leray-Schauder Type Alternatives. Existence Theorems.- Infinitesimal Exceptional Family of Elements.- More about the Notion of Exceptional Family of Elements.- Exceptional Family of Elements and Variational Inequalities.

Operations Research: Theoretical Frameworks and Practical Uses" addresses the critical need for systematic approaches to optimize complex decision-making within organizations. In an era characterized by intricate systems, limited resources, and dynamic environments, the ability to model, analyze, and solve operational challenges is paramount. This discipline provides the quantitative tools necessary to enhance efficiency, reduce costs, and improve overall performance across diverse sectors, tackling issues ranging from resource allocation to logistical planning under uncertainty.

This book comprehensively covers fundamental and advanced methodologies within operations research. It begins with the core principles of linear programming, including model formulation, the simplex method, duality theory, and sensitivity analysis, before exploring specialized network, transportation, and assignment problems. Further chapters delve into dynamic and integer programming for multi-stage and discrete decision processes, alongside nonlinear programming and metaheuristic approaches for complex scenarios. The text also examines decision analysis, game theory, stochastic processes like Markov chains and queueing systems, inventory management, Markov decision processes, and simulation modeling for robust analysis.

This authoritative resource is essential for students, researchers, and practitioners seeking to master the theoretical underpinnings and practical applications of operations research.

Theoretical Frameworks and Practical Uses

Operations Research

PERSONAL KAIZEN

Foundations for Decision-Focused Regularized Learning

Operational Data Analytics

Run your solo business like a lean team of ten - using AI to handle the admin, marketing, and follow-ups eating your week.

You didn't start a solo business to spend half your week on inbox triage, half-written proposals, and content you never get around to posting. But somewhere between "just starting out" and "genuinely busy," the administrative layer of running a one-person business quietly takes over - and traditional advice only offers two options: stay capped, or hire and take on a whole new set of costs and headaches.

The Solo Operator's Edge lays out a third path: an "invisible team" of AI-powered workflows, each one built around a real business function - chief of staff, marketer, sales assistant, operations manager, bookkeeper, support rep, research analyst - so you can scale your output without scaling your overhead. This isn't about replacing your expertise or your client relationships. It's about clearing everything else out of the way so you can spend your time on the work only you can do.

What's Inside:
- The hire-or-automate framework for deciding what actually needs a person
- Seven ready-to-build AI "roles" covering every function of a one-person business
- A daily inbox-and-calendar system that ends the morning scramble for good
- Workflows for proposals, follow-ups, content calendars, SOPs, and client communication
- Clear, honest boundaries around bookkeeping - where AI helps and where a licensed pro is non-negotiable
- A 30-day rollout plan and a Weekly Reclaim Ritual to tie every role together
- An extensive prompt library, worked examples, and two full case studies

THE SOLO OPERATOR'S EDGE

Dieses anschauliche Lehr- und Übungsbuch vermittelt die Inhalte des Mathematikunterrichts an Fachschulen Technik auf verständliche Weise. Zudem ist es auch für die Vorbereitung auf ein technisches Studium an Hochschulen bestens geeignet. Mit einer Vielzahl durchgerechneter Beispiele mit ausführlichen Lösungen ermöglicht es ein sicheres Nachvollziehen der dargestellten Sachverhalte. Viele Übungsaufgaben mit unterschiedlichem Schwierigkeitsgrad und Lösungen unterstützen Sie beim erfolgreichen Selbststudium. In der aktuellen zwölften Auflage wurden verschiedene Verbesserungen vorgenommen und das Kapitel über die Funktionen erweitert und neu strukturiert.Der InhaltMathematische Begriffe und Schreibweisen - Elementare Rechenoperationen - Potenzen - Wurzeln - Logarithmen - Gleichungen - Ungleichungen - Systeme linearer Gleichungen - Funktionen - Analytische Geometrie - Trigonometrie - Winkelfunktionen - Geometrie - Differentialrechnung - Integralrechnung - Vektorrechnung - Analytische Geometrie auf Vektorbasis - Komplexe Zahlen und FunktionenDie Zielgruppen<ul><li>Studierende an Fachschulen Technik im Maschinenbau und der Elektrotechnik</li><li>Schüler*innen an Berufskollegs und Berufsoberschulen</li></ul>Der Autor Dipl.-Ing. Heinz&nbsp;Rapp,&nbsp;
 langjähriger Dozent&nbsp;an der Hochschule und an einer&nbsp;Fachschule in Stuttgart.

Algebra, Geometrie, Differentialrechnung, Integralrechnung, Vektorrechnung, Komplexe Rechnung

Mathematik für Fachschule Technik und Berufskolleg

International Series in Operations Research & Management Science

This innovative book explores methodologies for constructing confidence intervals for proportions. It compares existing techniques and introduces new procedures developed by the authors, emphasizing the actual coverage function to assess their effectiveness. It covers various applications, such as estimating success rates in Monte Carlo simulations, gauging electoral support, assessing project completion rates, and evaluating product reliability. It provides analysts with both point and interval estimators, highlighting how interval estimators offer precision for point estimates.

Key focus is placed on selecting appropriate confidence interval procedures and understanding their statistical properties. While traditional methods offer only approximate intervals, this work examines popular options and derives their statistical characteristics, providing guidelines for practitioners. Additionally, it discusses pointwise confidence intervals for survivor functions from randomly right-censored datasets, appealing to reliability engineers and survival analysts. It includes practical applications through functions in R, allowing practitioners to compute confidence intervals and visualize their coverage.

As the first of its kind to focus solely on this topic, the book serves as a valuable resource for advanced students and can support a one-semester course on confidence intervals for proportions, making a significant contribution to the field of statistics.

This innovative book explores methodologies for constructing confidence intervals for proportions. It compares existing techniques and introduces new procedures developed by the authors, emphasizing the actual coverage function to assess their effectiveness. It covers various applications, such as estimating success rates in Monte Carlo simulations, gauging electoral support, assessing project completion rates, and evaluating product reliability. It provides analysts with both point and interval estimators, highlighting how interval estimators offer precision for point estimates.Key focus is placed on selecting appropriate confidence interval procedures and understanding their statistical properties. While traditional methods offer only approximate intervals, this work examines popular options and derives their statistical characteristics, providing guidelines for practitioners. Additionally, it discusses pointwise confidence intervals for survivor functions from randomly right-censored datasets, appealing to reliability engineers and survival analysts. It includes practical applications through functions in R, allowing practitioners to compute confidence intervals and visualize their coverage.As the first of its kind to focus solely on this topic, the book serves as a valuable resource for advanced students and can support a one-semester course on confidence intervals for proportions, making a significant contribution to the field of statistics.

Analysis of Binary Data with Applications to Survival Analysis

Confidence Intervals for Proportions

Businesses today are under constant pressure to manage growing volumes of information, work faster, respond to consumers more efficiently, and maintain consistent performance. By turning tedious procedures into efficient, intelligent workflows, automation and artificial intelligence offer practical ways to meet these needs. Adopting new technology alone, however, is not enough for successful implementation. Companies must understand how to integrate automation safely in daily operations and where it can add significant value.This book offers a useful overview of using AI-powered automation to improve operational effectiveness and business processes. It explores how businesses can identify repetitive operations, assess current processes, integrate digital technologies, and build automated solutions that support workers and business goals. Readers will also find applications in administration, customer service, sales, marketing, finance, reporting, and data management.Beyond implementation, the book examines how companies should monitor automated processes, minimize errors, retain human control, and gradually improve system performance. It also covers key factors such as return on investment, scalability, data security, privacy, and responsible AI use.
This book offers practical ideas for approaching automation strategically, whether you are a manager, entrepreneur, small business owner, or professional looking to boost office productivity. By combining intelligent technology with careful planning and human expertise, organizations can streamline daily operations, maximize resource use, and build adaptable processes that support long-term growth.

Automate Repetitive Tasks and Build More Efficient Workflows

AI Workflow Automation for Smarter Business Operations

<div>Did you know you can rewire your brain for health by making simple modifications to your lifestyle? This life-changing workbook guides you through every step to maximum well-being. We’re in the age of medical marvels, advances, and interventions that have enabled us to live longer and live better. Along with a greater life expectancy, however, we’re also seeing increases in certain degenerative diseases, such as Alzheimer’s disease and other forms of dementia; cardiovascular diseases; diabetes; and certain types of cancer. Bio-hacking offers a way to reduce your risk for these diseases by changing the environment around you—and inside of you—so you have full control of your own biology. In&nbsp;The Longevity Blueprint, you’ll learn how to do just this, essentially hacking and rewiring your body’s operating system to improve your health and well-being. With the tips and advice inside this book, you’ll learn how to improve cognitive health, increase focus, improve physical wellness, and boost happiness. It’s about doing the things we already know keep us healthy: eat right, exercise (body and mind), reduce stress, get more rest. Though it’s&nbsp;how we go about these things that separates the hackers from those who give up after failing to see immediate results. With the book’s writing prompts and journaling pages, you will learn some practical steps you can take to bio-hack your own biology and benefit brain function: <ul><li>Nutrition: healthy diet, brain-boosting foods</li><li>Exercise: regular physical activity, mind-body exercises</li><li>Sleep: good sleep environment, good sleep routine&nbsp;</li><li>Mental stimulation: brain challenges and puzzles, journaling</li><li>Mindfulness and meditation: exercises and breathwork</li><li>Mind-body connection: stress management, social connections</li></ul> Once touted as a tool only for the wealthy, bio-hacking can equip anyone with an arsenal of tools and strategies to help you take charge of your health. A longer, healthier life is not just for the rich! </div>

Learn the various tips and tricks for enhancing the body’s ability to function at peak performance—and maybe even extend lifespan—with The Longevity Blueprint.

A Guided Workbook to Biohacking a Longer, Healthier Life

The Longevity Blueprint

Applications and Case Studies

Digital Twins in Manufacturing

Operations Research: Fundamental Principles introduces a systematic approach to optimizing complex decision-making processes across diverse domains, from macro-economic planning to industrial operations. In today's intricate global landscape, organizations face persistent challenges in resource allocation, efficiency enhancement, and strategic foresight. Operations Research provides the analytical tools and methodologies essential for navigating these complexities, enabling data-driven solutions to critical real-world problems and fostering significant improvements in performance and outcomes.

This book comprehensively explores core OR techniques, beginning with network analysis for project management, including PERT/CPM. It delves into inventory control models, linear programming fundamentals like the Simplex method and duality theory, and specialized applications such as transportation and assignment problems. Further topics include queuing theory for service optimization, simulation modeling for system analysis, decision analysis under uncertainty, game theory for strategic interactions, and dynamic programming for multi-stage optimization.

This essential resource is designed for students, researchers, and professionals seeking a robust understanding and practical application of Operations Research methodologies.

Fundamental Principles

If you want to improve your life, health and happiness you need to upgrade the fundamentals: sleep, nutrition, exercise, work and the mind. And the best way to do this is through applying science, nutrition and even technology to these areas of our lives - the art known as 'biohacking'. But targeting all of these areas individually can feel overwhelming - and that's where this book comes in. While there is an almost endless array of research into what may, or may not, help your health, The Optimized Human harnesses the most cutting-edge information on science, diet and technology and turns them into a practical, manageable and customizable plan that will revolutionize every area of your wellbeing. It is the missing manual of the human body, and an essential addition to the library, work desk, kitchen, gym, suitcase or bedroom of anyone who wants to get the best out of their life.

A beginner's guide to biohacking

The Optimized Human

Dieses Lern- und Übungsbuch bietet Ihnen über 180 abwechslungsreiche Aufgaben, um Ihr Wissen in Wahrscheinlichkeitstheorie und Stochastik zu vertiefen. Zu jeder Aufgabe finden Sie hilfreiche Hinweise und ausführliche Musterlösungen, die Ihnen den Lern- und Lösungsprozess erleichtern. Ergänzende Bemerkungen liefern nützliche Hintergrundinformationen und verdeutlichen wichtige Zusammenhänge, die für jede Prüfung unabdinglich sind.

Ein besonderes Highlight: Viele Aufgaben lassen sich mit selbst erstellten Python-Programmen lösen. So verbinden Sie theoretische Mathematik mit praxisnaher Programmierung und lernen, mathematische Probleme effektiv in Python umzusetzen.

Dieses Lern- und Übungsbuch bietet Ihnen über 180 abwechslungsreiche Aufgaben, um Ihr Wissen in Wahrscheinlichkeitstheorie und Stochastik zu vertiefen. Zu jeder Aufgabe finden Sie hilfreiche Hinweise und ausführliche Musterlösungen, die Ihnen den Lern- und Lösungsprozess erleichtern. Ergänzende Bemerkungen liefern nützliche Hintergrundinformationen und verdeutlichen wichtige Zusammenhänge, die für jede Prüfung unabdinglich sind.Ein besonderes Highlight: Viele Aufgaben lassen sich mit selbst erstellten Python-Programmen lösen. So verbinden Sie theoretische Mathematik mit praxisnaher Programmierung und lernen, mathematische Probleme effektiv in Python umzusetzen.

Theoretische Hintergründe und Anwendungen mit Python

Übungs- und Lernbuch Wahrscheinlichkeitstheorie und Stochastik

Leray-Schauder Type Alternatives, Complementarity Problems and Variational Inequalities

Weitere Titel zum Thema