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Guaranteed Computational Methods for Self-Adjoint Differential Eigenvalue Problems (SpringerBriefs in Mathematics)
by Xuefeng LiuThis monograph presents a study of newly developed guaranteed computational methodologies for eigenvalue problems of self-adjoint differential operators. It focuses on deriving explicit lower and upper bounds for eigenvalues, as well as explicit estimations for eigenfunction approximations. Such explicit error estimations rely on the finite element method (FEM) along with a new theory of explicit quantitative error estimation, diverging from traditional studies that primarily focus on qualitative results. To achieve quantitative error estimation, the monograph begins with an extensive analysis of the hypercircle method, that is, the Prager–Synge theorem. It introduces a novel a priori error estimation technique based on the hypercircle method. This facilitates the explicit estimation of Galerkin projection errors for equations such as Poisson's and Stokes', which are crucial for obtaining lower eigenvalue bounds via conforming FEMs. A thorough exploration of the fundamental theory of projection-based explicit lower eigenvalue bounds under a general setting of eigenvalue problems is also offered. This theory is extensively detailed when applied to model eigenvalue problems associated with the Laplace, biharmonic, Stokes, and Steklov differential operators, which are solved by either conforming or non-conforming FEMs. Moreover, there is a detailed discussion on the Lehmann–Goerisch theorem for the purpose of high-precision eigenvalue bounds, showing its relationship with previously established theorems, such as Lehmann–Maehly's method and Kato's bound. The implementation details of this theorem with FEMs, a topic rarely covered in existing literature, are also clarified. Lastly, the monograph introduces three new algorithms to estimate eigenfunction approximation errors, revealing the potency of classical theorems. Algorithm I extends Birkhoff’s result that works for simple eigenvalues to handle clustered eigenvalues, while Algorithm II generalizes the Davis–Kahan theorem, initially designed for strongly formulated eigenvalue problems, to address weakly formulated eigenvalue problems. Algorithm III utilizes the explicit Galerkin projection error estimation to efficiently handle Galerkin projection-based approximations.
Principles of Scientific Methods
by Mark ChangThis book focuses on the fundamental principles behind scientific methods. The author uses concrete examples to explain principles. He also uses analogies to connect different methods or problems to arrive at a general principle or common notion. The book explores how the principles of scientific methods are not only applicable to scientific research but also in our daily lives. It shows how the scientific method is used to understand how and why things happen, make predictions, prevent mistakes, and solve problems.
Traffic and Granular Flow '22 (Lecture Notes in Civil Engineering #443)
This book gathers contributions on a variety of flowing collective systems. While primarily focusing on pedestrian dynamics, it also reflects the latest developments in areas such as vehicular traffic and granular flows and addresses related emerging topics such as self-propelled particles, data transport, swarm behaviour, intercellular transport, and individual interactions to complex systems. Combining fundamental research and practical applications in the various fields discussed, the book offers a valuable asset for researchers and professionals in areas such as civil and transportation engineering, mechanical engineering, electrical engineering, physics, computer science, and mathematics.
Parabolic Problems: 60 Years of Mathematical Puzzles in Parabola (AK Peters/CRC Recreational Mathematics Series)
by David Angell Thomas BritzParabola is a mathematics magazine published by UNSW, Sydney. Among other things, each issue of Parabola has contained a collection of puzzles/problems, on various mathematical topics and at a suitable level for younger (but mathematically sophisticated) readers.Parabolic Problems: 60 Years of Mathematical Puzzles in Parabola collects the very best of almost 1800 problems and puzzles into a single volume. Many of the problems have been re-mastered, and new illustrations have been added. Topics covered range across geometry, number theory, combinatorics, logic, and algebra. Solutions are provided to all problems, and a chapter has been included detailing some frequently useful problem-solving techniques, making this a fabulous resource for education and, most importantly, fun!Features Hundreds of diverting and mathematically interesting problems and puzzles. Accessible for anyone with a high school-level mathematics education. Wonderful resource for teachers and students of mathematics from high school to undergraduate level, and beyond.
Parabolic Problems: 60 Years of Mathematical Puzzles in Parabola (AK Peters/CRC Recreational Mathematics Series)
by David Angell Thomas BritzParabola is a mathematics magazine published by UNSW, Sydney. Among other things, each issue of Parabola has contained a collection of puzzles/problems, on various mathematical topics and at a suitable level for younger (but mathematically sophisticated) readers.Parabolic Problems: 60 Years of Mathematical Puzzles in Parabola collects the very best of almost 1800 problems and puzzles into a single volume. Many of the problems have been re-mastered, and new illustrations have been added. Topics covered range across geometry, number theory, combinatorics, logic, and algebra. Solutions are provided to all problems, and a chapter has been included detailing some frequently useful problem-solving techniques, making this a fabulous resource for education and, most importantly, fun!Features Hundreds of diverting and mathematically interesting problems and puzzles. Accessible for anyone with a high school-level mathematics education. Wonderful resource for teachers and students of mathematics from high school to undergraduate level, and beyond.
Statistical Analyses for Criminal Justice and Criminology: A Conceptual Introduction
by Michael J. DeValveThis book is a how-to guide on statistical analyses designed for undergraduates and others new to the subject. It uses a conceptual framework, starting with the most basic concepts of statistics and moving up through the capacity to perform bivariate regression.Written in an easy-going and clear style, it uses policing data to illustrate concepts. Easily identified Main Take-Aways and Key Terms features aid student understanding. Designed to combat the fear of mathematics and statistics often held by students in the social sciences, plain verbiage, multiple examples, and clear demonstrations combine to achieve the actualization and proper contextualized use of univariate and bivariate statistics. This work also serves as a launching pad for further study in statistics.As an accessible introduction to statistics in criminal justice and criminology, this text will appeal to both students and instructors in introductory criminal justice and criminology statistics courses.
Statistical Analyses for Criminal Justice and Criminology: A Conceptual Introduction
by Michael J. DeValveThis book is a how-to guide on statistical analyses designed for undergraduates and others new to the subject. It uses a conceptual framework, starting with the most basic concepts of statistics and moving up through the capacity to perform bivariate regression.Written in an easy-going and clear style, it uses policing data to illustrate concepts. Easily identified Main Take-Aways and Key Terms features aid student understanding. Designed to combat the fear of mathematics and statistics often held by students in the social sciences, plain verbiage, multiple examples, and clear demonstrations combine to achieve the actualization and proper contextualized use of univariate and bivariate statistics. This work also serves as a launching pad for further study in statistics.As an accessible introduction to statistics in criminal justice and criminology, this text will appeal to both students and instructors in introductory criminal justice and criminology statistics courses.
The Foundations of Experimental Physics: Unraveling the Premises of Physical and Scientific Knowledge
by Jacopo ParraviciniStandard STEM courses, for all of their value, do not tend to include systematic lectures or treatment about the nature of the scientific method. This book aims to provide a wide reflection on the general principles of physics and explore the foundations of scientific knowledge as a whole. The author delves into the study of what lies at the basis of science in general, and physics in particular. Themes such as the relation between natural phenomena and mathematical language are addressed, highlighting the main hubs of conceptual development in science. The volume also examines the conceptual and practical instruments that have been progressively developed to investigate the nature of physics. Furthermore, the author discusses the importance of “scientific practice” within the scientific community, emphasizing its role in advancing knowledge and how it contributes to physics as a whole. Divided into three parts, each covering different aspects of physics and its foundations, the text, while assuming basic knowledge of physics and mathematics taught in university courses, is accessible to all STEM students, and will be useful for anyone looking to gain valuable insights into the nature of physics and the methods used to acquire knowledge in this field.
Mechatronics – Industry-Inspired Advances (Lecture Notes in Networks and Systems #1042)
by Adam Martowicz Michał Mańka Krzysztof MendrokThis book addresses the key aspects concerning the rapid development of mechatronics. It also helps to understand the respective great significance of cooperation between researchers and professionals. Mechatronics is crucial for many areas of life. However, its invaluable contribution is particularly seen in the Fourth Industrial Revolution (Industry 4.0). In response to the current issues in mechatronics, the 6th International Conference Mechatronics 2023: Ideas for Industrial Applications was organized from 11 to 13 December 2023 in Krakow, Poland. The following topics were discussed: artificial intelligence, robotics, image processing, software, control systems, space applications, modeling and identification of mechatronic systems, smart materials, and prototype construction with 3D printing. This book provides the solutions ready for implementation in industry. These solutions grew out of the ideas exchange between the Conference attendees representing various backgrounds.
Color in QCD: An Introduction Featuring the Birdtrack Pictorial Technique (SpringerBriefs in Physics)
by Stéphane PeignéThis book introduces readers to the fascinating world of quantum chromodynamics (QCD) and quarks and gluons, the elementary constituents of protons, neutrons, and all hadrons. Specifically, it focuses on the color of quarks and gluons, responsible for their mutual interactions via the strong force. The book provides an elementary introduction to the birdtrack technique, which is a powerful tool for addressing the color structure of QCD in a pictorial way. The technique shows how quark and gluon colors are combined and mixed in QCD. The author discusses color conservation, shows how to project on color states of systems of quarks, antiquarks, and gluons, how to derive their color charges. The book is enriched with many exercises integrated in the text to learn by doing.This book is primarily intended for particle physics students, graduates, and researchers working in the field of QCD. However, it requires no specific prerequisites in QCD, so it may also be of interest to students of mathematics, as an illustration of the use of the birdtrack pictorial technique in representation theory.
Python for Accounting and Finance: An Integrative Approach to Using Python for Research
by Sunil KumarThis book is a comprehensive guide to the application of Python in accounting, finance, and other business disciplines. This book is more than a Python tutorial; it is an integrative approach to using Python for practical research in these fields. The book begins with an introduction to Python and its key libraries. It then covers real-world applications of Python, covering data acquisition, cleaning, exploratory data analysis, visualization, and advanced topics like natural language processing, machine learning, predictive analytics, and deep learning. What sets this book apart is its unique blend of theoretical knowledge and real-world examples, supplemented with ready-to-use code. It doesn't stop at the syntax; it shows how to apply Python to tackle actual analytical problems. The book uses case studies to illustrate how Python can enhance traditional research methods in accounting and finance, not only allowing the reader to gain a firm understanding of Pythonprogramming but also equipping them with the skills to apply Python to accounting, finance, and broader business research. Whether you are a PhD student, a professor, an industry professional, or a financial researcher, this book provides the key to unlocking the full potential of Python in research.
Industrial Statistics: A Computer-Based Approach with Python (Statistics for Industry, Technology, and Engineering)
by Shelemyahu Zacks Ron S. Kenett Peter GedeckThis innovative textbook presents material for a course on industrial statistics that incorporates Python as a pedagogical and practical resource. Drawing on many years of teaching and conducting research in various applied and industrial settings, the authors have carefully tailored the text to provide an ideal balance of theory and practical applications. Numerous examples and case studies are incorporated throughout, and comprehensive Python applications are illustrated in detail. A custom Python package is available for download, allowing students to reproduce these examples and explore others.The first chapters of the text focus on the basic tools and principles of process control, methods of statistical process control (SPC), and multivariate SPC. Next, the authors explore the design and analysis of experiments, quality control and the Quality by Design approach, computer experiments, and cyber manufacturing and digital twins. The text then goes on to cover reliability analysis, accelerated life testing, and Bayesian reliability estimation and prediction. A final chapter considers sampling techniques and measures of inspection effectiveness. Each chapter includes exercises, data sets, and applications to supplement learning.Industrial Statistics: A Computer-Based Approach with Python is intended for a one- or two-semester advanced undergraduate or graduate course. In addition, it can be used in focused workshops combining theory, applications, and Python implementations. Researchers, practitioners, and data scientists will also find it to be a useful resource with the numerous applications and case studies that are included.A second, closely related textbook is titled Modern Statistics: A Computer-Based Approach with Python. It covers topics such as probability models and distribution functions, statistical inference and bootstrapping, time series analysis and predictions,and supervised and unsupervised learning. These texts can be used independently or for consecutive courses.The mistat Python package can be accessed at https://gedeck.github.io/mistat-code-solutions/IndustrialStatistics/."This book is part of an impressive and extensive write up enterprise (roughly 1,000 pages!) which led to two books published by Birkhäuser. This book is on Industrial Statistics, an area in which the authors are recognized as major experts. The book combines classical methods (never to be forgotten!) and "hot topics" like cyber manufacturing, digital twins, A/B testing and Bayesian reliability. It is written in a very accessible style, focusing not only on HOW the methods are used, but also on WHY. In particular, the use of Python, throughout the book is highly appreciated. Python is probably the most important programming language used in modern analytics. The authors are warmly thanked for providing such a state-of-the-art book. It provides a comprehensive illustration of methods and examples based on the authors longstanding experience, and accessible code for learning and reusing in classrooms and on-site applications."Professor Fabrizio RuggeriResearch Director at the National Research Council, ItalyPresident of the International Society for Business and Industrial Statistics (ISBIS)Editor-in-Chief of Applied Stochastic Models in Business and Industry (ASMBI)
Next Generation Data Science: Second Southwest Data Science Conference, SDSC 2023, Waco, TX, USA, March 24–25, 2023, Revised Selected Papers (Communications in Computer and Information Science #2113)
by Henry Han Erich BakerThis book constitutes the refereed proceedings of the Sescond Southwest Data Science Conference, SDSC 2023, held in Waco, TX, USa, during March 24-25, 2023. The 16 full and 1 short paper included in this book were carefully reviewed and selected from 72 submissions. They were oragnized in topical sections named: Business social and foundation data science; and applied data science, artifiicial intelligence and data engineering.
Maths — No Problem! Workbook 1A: (pdf) (Maths — No Problem! English National Curriculum)
by Adam Gifford Michelle Hayfron"Maths — No Problem! is a series of textbooks and workbooks written to meet the requirements of the English National Curriculum and all subsequent non-statutory requirements. The focus of the series is on teaching to mastery. This research-based approach emphasises problem solving and utilises pupils’ core competencies to develop a relational understanding of mathematical concepts."
Maths — No Problem! Textbook 1A: (pdf) (Maths — No Problem! English National Curriculum)
by Adam Gifford Michelle Hayfron"Maths — No Problem! is a series of textbooks and workbooks written to meet the requirements of the English National Curriculum and all subsequent non-statutory requirements. The focus of the series is on teaching to mastery. This research-based approach emphasises problem solving and utilises pupils’ core competencies to develop a relational understanding of mathematical concepts."
A Brief History of Mathematical Thought
by Luke HeatonAdvertisements for the wildly popular game of Sudoku often feature the reassuring words, "no mathematical knowledge required." In fact, the only skill Sudoku does require is the use of mathematical logic. For many people, anxiety about math is so entrenched, and grade school memories so haunting, that these disclaimers - though misleading - are necessary to avoid intimidating potential buyers. In A Brief History of Mathematical Thought, Luke Heaton provides a compulsively readable history that situates mathematics within the human experience and, in the process, makes it more accessible. Mastering math begins with understanding its history. Heaton's book therefore offers a lively guide into and through the world of numbers and equations-one in which patterns and arguments are traced through logic in the language of concrete experience. Heaton reveals how Greek and Roman mathematicians like Pythagoras, Euclid, and Archimedes helped shaped the early logic of mathematics; how the Fibonacci sequence, the rise of algebra, and the invention of calculus are connected; how clocks, coordinates, and logical padlocks work mathematically; and how, in the twentieth century, Alan Turing's revolutionary work on the concept of computation laid the groundwork for the modern world. A Brief History of Mathematical Thought situates mathematics as part of, and essential to, lived experience. Understanding it does not require the application of various rules or numbing memorization, but rather a historical imagination and a view to its origins. Moving from the origin of numbers, into calculus, and through infinity, Heaton sheds light on the language of math and its significance to human life.
Statistical Reinforcement Learning: Modern Machine Learning Approaches (Chapman & Hall/CRC Machine Learning & Pattern Recognition)
by Masashi SugiyamaReinforcement learning (RL) is a framework for decision making in unknown environments based on a large amount of data. Several practical RL applications for business intelligence, plant control, and gaming have been successfully explored in recent years. Providing an accessible introduction to the field, this book covers model-based and model-free approaches, policy iteration, and policy search methods. It presents illustrative examples and state-of-the-art results, including dimensionality reduction in RL and risk-sensitive RL. The book provides a bridge between RL and data mining and machine learning research.
Stochastic Optimization Methods: Applications in Engineering and Operations Research
by Kurt MartiThis book examines optimization problems that in practice involve random model parameters. It outlines the computation of robust optimal solutions, i.e., optimal solutions that are insensitive to random parameter variations, where appropriate deterministic substitute problems are needed. Based on the probability distribution of the random data and using decision theoretical concepts, optimization problems under stochastic uncertainty are converted into corresponding deterministic problems.Due to the probabilities and expectations involved, the book also shows how to apply approximative solution techniques. Several deterministic and stochastic approximation methods are provided: Taylor expansion methods, regression and response surface methods (RSM), probability inequalities, multiple linearization of survival/failure domains, discretization methods, convex approximation/deterministic descent directions/efficient points, stochastic approximation and gradient procedures, and differentiation formulas for probabilities and expectations.The fourth edition of this classic text has been carefully and thoroughly revised. It includes new chapters on the solution of stochastic linear programs by discretization of the underlying probability distribution, and on solving deterministic optimization problems by means of controlled random search methods and multiple random search procedures. It also presents a new application of stochastic optimization methods to machine learning problems with different loss functions. For the computation of optimal feedback controls under stochastic uncertainty, besides the open-loop feedback procedures, a new method based on Taylor expansions with respect to the gain parameters is presented. The book is intended for researchers and graduate students who are interested in stochastics, stochastic optimization, and control. It will also benefit professionals and practitioners whose work involves technical, economicand/or operations research problems under stochastic uncertainty.
Industry and Innovation: Textile Industry (SDGs and Textiles)
by José Moleiro MartinsThe primary objective of this book is to offer readers an insightful exploration into the realms of innovation and sustainability within the textile industry. As global competition intensifies, organizations are increasingly compelled to revisit and refine their business strategies, emphasizing the imperative for continuous innovation and adaptability. This shift towards innovation-centric strategies is driven by the pursuit of sustainability and a competitive advantage, underscoring innovation as the cornerstone for business growth and market expansion. Innovation not only opens avenues for companies to overhaul their business models and enhance process technologies but also enables them to achieve optimal productivity and minimize waste. In an era characterized by swift technological advancements, the demand for rapid information flow, and evolving consumer preferences, a firm’s capability to innovate emerges as a critical determinant of its growth, sustainability, and competitive positioning in the textile sector. Process innovation, which entails the adoption of novel or significantly improved manufacturing or delivery methodologies, plays a pivotal role. This could involve substantial modifications in techniques, equipment, and/or software, aimed at bolstering production efficiency, augmenting quality, or facilitating the creation and delivery of significantly improved or new products. Manufacturing firms, through their marketing departments, are in a constant quest for opportunities to develop new products to maintain their competitive edge. Organizations that lag in embracing innovation risk losing their market share and profitability as competitors seize the opportunity to outperform them. A firm’s innovative capabilities are instrumental in fostering long-term market sustainability and business growth by delivering unparalleled value to customers. Consequently, innovation is integral to corporate strategies for a myriad of reasons – from achieving more efficient production processes and enhancing market performance to cultivating a forward-thinking brand image and securing a sustainable competitive advantage.
New Frontiers in Number Theory and Applications (Trends in Mathematics)
by Jordi Guàrdia Nicuşor Minculete Diana Savin Montserrat Vela Abdelkader ZekhniniThis contributed volume presents recent advances as well as new directions in number theory and its applications. Algebraic and analytic number theory are the main focus with chapters showing how these areas are rapidly evolving. By gathering authors from over seven countries, readers will gain an international perspective on the current state of research as well as potential avenues to explore. Specific topics covered include:Algebraic Number TheoryElliptic curves and CryptographyHopf Galois theoryAnalytic and elementary number theory and applicationsNew Frontiers in Number Theory and Applications will appeal to researchers interested in gaining a global view of current research in number theory.
Perturbed Functional Iterations: A Matrix Free Large-Scale Nonlinear System Solver in Applied Science with an Introduction to D-Mapping (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
by Suhrit DeyPerturbed functional iterations (PFI) is a large‑scale nonlinear system solver. Nature is abundant with events simulated mathematically by nonlinear systems of equations and inequalities. These we call nonlinear models. Often, they are ill‑conditioned, meaning small changes in data causing huge changes in the output. PFI, previously called the perturbed iterative scheme (PIS), is a numerical method to solve nonlinear systems of equations in multidimensional space. Computational results demonstrate that this numerical method has some unique features, which have made it more practical for applications in engineering and applied mathematics. This book will guide readers in the proper use of PFI, both in theoretical and practical settings. Features: Ideal resource for postgraduates and professional researchers in science and engineering working in nonlinear systems Algorithmically simple enough for engineers and applied scientists to write their own software based on the contents
Perturbed Functional Iterations: A Matrix Free Large-Scale Nonlinear System Solver in Applied Science with an Introduction to D-Mapping (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
by Suhrit DeyPerturbed functional iterations (PFI) is a large‑scale nonlinear system solver. Nature is abundant with events simulated mathematically by nonlinear systems of equations and inequalities. These we call nonlinear models. Often, they are ill‑conditioned, meaning small changes in data causing huge changes in the output. PFI, previously called the perturbed iterative scheme (PIS), is a numerical method to solve nonlinear systems of equations in multidimensional space. Computational results demonstrate that this numerical method has some unique features, which have made it more practical for applications in engineering and applied mathematics. This book will guide readers in the proper use of PFI, both in theoretical and practical settings. Features: Ideal resource for postgraduates and professional researchers in science and engineering working in nonlinear systems Algorithmically simple enough for engineers and applied scientists to write their own software based on the contents
Product Lifecycle Management. Leveraging Digital Twins, Circular Economy, and Knowledge Management for Sustainable Innovation: 20th IFIP WG 5.1 International Conference, PLM 2023, Montreal, QC, Canada, July 9–12, 2023, Revised Selected Papers, Part I (IFIP Advances in Information and Communication Technology #701)
by Abdelaziz Bouras Ramy Harik Louis Rivest Felix Nyffenegger Christophe DanjouThis two-volume set IFIP AICT 701-702 constitutes the refereed post-conference proceedings of the 20th IFIP WG 5.1 International Conference on Product Lifecycle Management: Leveraging Digital Twins, Circular Economy, and Knowledge Management for Sustainable Innovation, PLM 2023, held in Montreal, QC, Canada, during July 9–12, 2023. The 61 regular papers included in this book were carefully reviewed and selected from 116 submissions. They are organized in the following thematic sections: Part I: Technology implementation: augmented reality, CPS and digital twin; organisation: knowledge management, change management, frameworks for project and service development; modelisation : CAD and collaboration, model-based system engineering and building information modeling. Part II: Circular economy: characterization, criteria and implementation; interoperability technology: blockchain, IoT and ontologies for data exchange; learning and training: from AI to a human-centric approach; smart processes: prediction, optimization and digital thread.
Product Lifecycle Management. Leveraging Digital Twins, Circular Economy, and Knowledge Management for Sustainable Innovation: 20th IFIP WG 5.1 International Conference, PLM 2023, Montreal, QC, Canada, July 9–12, 2023, Revised Selected Papers, Part II (IFIP Advances in Information and Communication Technology #702)
by Abdelaziz Bouras Ramy Harik Louis Rivest Felix Nyffenegger Christophe DanjouThis two-volume set IFIP AICT 701-702 constitutes the refereed post-conference proceedings of the 20th IFIP WG 5.1 International Conference on Product Lifecycle Management: Leveraging Digital Twins, Circular Economy, and Knowledge Management for Sustainable Innovation, PLM 2023, held in Montreal, QC, Canada, during July 9–12, 2023. The 61 regular papers included in this book were carefully reviewed and selected from 116 submissions. They are organized in the following thematic sections: Part I: Technology implementation: augmented reality, CPS and digital twin; organisation: knowledge management, change management, frameworks for project and service development; modelisation : CAD and collaboration, model-based system engineering and building information modeling. Part II: Circular economy: characterization, criteria and implementation; interoperability technology: blockchain, IoT and ontologies for data exchange; learning and training: from AI to a human-centric approach; smart processes: prediction, optimization and digital thread.
Schöne Momente pflegender Angehöriger in der Pflege und Begleitung von Menschen mit Demenz: Eine Tagebuchstudie
by Anna KieferIn diesem Open Access-Buch wird gezeigt, wie pflegende Angehörige mit Hilfe einer Tagebuchvorlage auf die Wahrnehmung schöner Momente in der Begleitung ihrer an Demenz erkrankten Familienmitglieder sensibilisiert werden können. Tagebücher sind eine beliebte Möglichkeit zur Verarbeitung und Bewältigung von Krisensituationen und können dabei der Selbstreflexion und Belastungsverarbeitung dienen. Insbesondere positives Schreiben kann durch das Erinnern und Reflektieren schöner Momente und Emotionen nachweislich zu einem höheren Wohlbefinden und zur Steigerung der Selbstwirksamkeit führen. Die Begleitung eines Menschen mit Demenz geht für pflegende Angehörige häufig mit einer Vielzahl an Belastungen und Herausforderungen einher, weshalb diese häufig aus der Belastungsperspektive erlebt wird. Schöne Momente innerhalb der Sorgebeziehung zwischen pflegenden Angehörigen und Menschen mit Demenz werden dabei seltener bewusst wahrgenommen. Die Ergebnisse der Tagebuchstudie zeigen individuelle Auswirkungen der Wahrnehmung und Sensibilisierung schöner Momente.