Products related to Cauchy:
-
Hyperbolic Systems of Conservation Laws : The One-dimensional Cauchy Problem
This book provides a self-contained introduction to the mathematical theory of hyperbolic systems of conservation laws, with particular emphasis on the study of discontinuous solutions, characterized by the appearance of shock waves.This area has experienced substantial progress in very recent years thanks to the introduction of new techniques, in particular the front tracking algorithm and the semigroup approach.These techniques provide a solution to the long standing open problems of uniqueness and stability of entropy weak solutions.This monograph is the first to present a comprehensive account of these new, fundamental advances, mainly obtained by the author together with several collaborators.It also includes a detailed analysis of the stability and convergence of the front tracking algorithm.The book is addressed to graduate students as well as researchers.Both the elementary and the more advanced material are carefully explained, helping the reader's visual intuition with over 70 figures.A set of problems, with varying difficulty, is given at the end of each chapter.These exercises are designed to verify and expand a student's understanding of the concepts and techniques previously discussed.For researchers, this book will provide an indispensable reference for the state of the art, in the field of hyperbolic systems of conservation laws.The last chapter contains a large, up to date list of references, preceded by extensive bibliographical notes.
Price: 147.50 £ | Shipping*: 0.00 £ -
Innovation in Music: Technology and Creativity
Innovation in Music: Technology and Creativity is a groundbreaking collection bringing together contributions from instructors, researchers, and professionals.Split into two sections, covering composition and performance, and technology and innovation, this volume offers truly international perspectives on ever-evolving practices. Including chapters on audience interaction, dynamic music methods, AI, and live electronic performances, this is recommended reading for professionals, students, and researchers looking for global insights into the fields of music production, music business, and music technology.
Price: 53.99 £ | Shipping*: 0.00 £ -
The Cauchy-Schwarz Master Class : An Introduction to the Art of Mathematical Inequalities
This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities.With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader.The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy.The text is accessible to anyone who knows calculus and who cares about solving problems.It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics.
Price: 112.00 £ | Shipping*: 0.00 £ -
Creating Stellar Lessons with Digital Tools : From Integration to Innovation in Technology-Enhanced Teaching
Creating Stellar Lessons with Digital Tools prepares teachers in training and in-service teachers to use technologies for design and development activities with middle and high school students.While software, open resources, handheld devices, and other tools hold great potential to enhance learning experiences, teachers themselves must model technology use in ways that inspire students to become producers and leaders rather than consumers and followers.Featuring concrete applications in social studies, English, mathematics, and science scenarios, this book provides pre-service and in-service teachers with seven paths to creatively integrate and innovate with computational thinking, datasets, maker spaces, visual design, media editing, and other approaches.
Price: 38.99 £ | Shipping*: 0.00 £
-
What is a Cauchy sequence and what does the Cauchy convergence criterion state?
A Cauchy sequence is a sequence of real numbers in which the terms become arbitrarily close to each other as the sequence progresses. The Cauchy convergence criterion states that a sequence of real numbers is convergent if and only if it is a Cauchy sequence. This means that a sequence converges if and only if the terms in the sequence become arbitrarily close to each other as the sequence progresses.
-
Why is the Cauchy condition not satisfied?
The Cauchy condition is not satisfied when the value of the function at a point is not uniquely determined by the values of the function in a neighborhood of that point. This can happen when there are discontinuities, sharp corners, or singularities in the function. In such cases, the function may not be continuous or differentiable at that point, leading to the violation of the Cauchy condition.
-
How is a continuous Cauchy sequence defined?
A continuous Cauchy sequence is a sequence of real numbers that converges to a limit in a continuous manner. This means that as the terms of the sequence get closer and closer to each other, the limit of the sequence also gets closer to a specific real number. In other words, the sequence does not have any sudden jumps or fluctuations as it approaches its limit. This property is important in analysis and helps to define completeness of a metric space.
-
What is the term of the Cauchy product?
The term of the Cauchy product refers to the individual product of the corresponding terms in two sequences being multiplied together. In the context of power series, the Cauchy product is a way to multiply two power series term by term to obtain a new power series. The term of the Cauchy product is the result of multiplying the nth term of the first series with the mth term of the second series, where n + m = k, the index of the resulting term in the product series.
Similar search terms for Cauchy:
-
Digitalization and Innovation in Health : European and US Perspectives
Providing a comparison between context in Europe and the US, this volume investigates the digital transformation of health systems, comparing strategies for digital development while identifying both key innovations and future challenges. The book covers a wide spectrum of topics, from explaining the nature of individual innovations to an analysis of demand-side and supply-side barriers, including funding issues and technological access.It also explores where digitalization is already playing an important role, for example, in clinical trials and disease modeling. Concluding with guidance for policy recommendations, this important book will interest students, scholars, and practitioners across health and social care, medicine, and beyond.
Price: 49.99 £ | Shipping*: 0.00 £ -
Human Systems Integration for Mining Automation
Human Systems Integration for Mining Automation is the professional’s guide to understanding the issues, approaches, and pitfalls associated with mining automation from a human perspective.This book delves into a timely and fast-developing issue in mining and the wider minerals industry - the design and deployment of automation.The book approaches this from a “Human Systems Integration” standpoint in which the technical and human-related aspects are jointly considered as part of an integrated, automated mining system.This accessible and readable title offers a wider Human Systems Integration framework that can be applied to mining projects.It is based on an established framework that has been developed and used successfully in other work.The framework is backed up with information obtained from mines in Australia, the USA, Canada, Sweden, and Chile and original equipment manufacturers such as Caterpillar, Komatsu, Sandvik and Epiroc.Every reader of this book will recognise the essential benefits of human systems integration for mining automation. This book will be an ideal read for industry professionals including systems engineers, safety engineers, mining engineers, human factors engineers, and engineers working on developing and deploying automation in mining and related industries including rail, road transport, and process control.It will also be of interest to students, researchers, and academics in related fields.
Price: 68.99 £ | Shipping*: 0.00 £ -
Innovative Internal Communication : How creativity, curiosity and technology can create lasting impact
Embrace innovation and creativity to take your internal communications beyond conventional methods and create lasting impact in your organization. Internal communication is critical for business success, as is innovation.Technological advancements and changing employee expectations are reshaping the workplace, meaning traditional communication methods are no longer sufficient.This book explains how adopting an innovation mindset and placing employees at the forefront can revolutionize your internal communication, enhance employee engagement and ultimately contribute to the achievement of organizational goals. Covering the different obstacles practitioners may face, this book provides practical ways to overcome every challenge in order to free up space for innovation and experimentation in your work.From maximizing impact through psychology and behavioural science, to how to best balance the technology that is available with the human touch, this book takes your communications beyond the basics of best practice and onto the next level of effective communication.In this hands-on book, learn how you can drive change in your organization and encourage a culture of continuous learning and improvement, ensuring that your internal communications can continue to adapt to meet evolving employee expectations.
Price: 31.99 £ | Shipping*: 0.00 £ -
Robots, Automation and the Innovation Economy
Cascades of new technologies and innovations are entering our lives so fast that it is difficult for us to adapt to one innovation before the next becomes embedded into our everyday lives.What happens when the changes brought by technology are so profound that they affect all aspects of our lives?This book explores the potential impact of artificial intelligence (AI) and intelligent robots on individuals, organizations and society, specifically examining the impact on jobs and workplaces in the future.It provides an understanding of how we can adapt to changes that appear like flocks of black swans. Five key areas are unpacked in the book: automation, AI, (the significance of AI technology), innovation, competence transformation, and the fact that the pace of change is so rapid that it outstrips our ability to adapt to consecutive changes.The main objective is to show how AI will change society and how we as individuals and society must adapt in order to survive what the author terms ‘robot shock’, together with its consequences and after-effects.It offers a greater understanding of resistance to change and how we need to adopt strategies for adapting to major changes.Each of the book’s six chapters also contains policy inputs, framed as propositions, that are intended specifically for decision-makers.The book concludes by offering possible strategies for overcoming the negative effects of ‘robot shock’. The book intends to send a message to leaders of institutions, decision-makers and anyone attempting to understand and explain how we – as a social system – can succeed in tackling the many major challenges and crises faced by humanity.
Price: 135.00 £ | Shipping*: 0.00 £
-
How do you define a continuous Cauchy sequence?
A continuous Cauchy sequence is a sequence of elements in a metric space that converges to a limit in a continuous manner. This means that as the sequence progresses, the elements get arbitrarily close to each other, ensuring that the sequence does not oscillate or jump around. The concept of continuity in this context implies that the sequence approaches its limit smoothly and without abrupt changes. Mathematically, a continuous Cauchy sequence satisfies the Cauchy criterion for convergence and its limit is also a point in the metric space.
-
How to correctly apply the Cauchy integral theorem?
To correctly apply the Cauchy integral theorem, one must ensure that the function being integrated is analytic within a simply connected region and continuous on its boundary. Then, the integral of the function over a closed contour within this region is equal to zero. It is important to verify that the contour is indeed closed and lies entirely within the simply connected region. Additionally, one must be cautious of any singularities within the contour, as they may affect the validity of the theorem.
-
What is the series value of the Cauchy product?
The series value of the Cauchy product of two series is the product of their individual series values. In other words, if we have two series with values A and B, then the Cauchy product of these two series will have a value of A * B. This property is a key feature of the Cauchy product and is used in various mathematical applications.
-
How can conclusions be drawn from the Cauchy-Schwarz inequality?
Conclusions can be drawn from the Cauchy-Schwarz inequality by using it to compare the magnitudes of two vectors or the absolute values of two real numbers. If the Cauchy-Schwarz inequality is satisfied, it implies a certain relationship between the vectors or real numbers. For example, if the inequality is an equality, it indicates that the vectors are linearly dependent or the real numbers are proportional. This can be used to make conclusions about the relationship between the vectors or real numbers, and can be applied in various mathematical and scientific contexts.
* All prices are inclusive of VAT and, if applicable, plus shipping costs. The offer information is based on the details provided by the respective shop and is updated through automated processes. Real-time updates do not occur, so deviations can occur in individual cases.