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Qualitative Analysis of Physical Problems

Qualitative Analysis of Physical Problems PDF Author: M Gitterman
Publisher: Elsevier
ISBN: 0323157505
Category : Science
Languages : en
Pages : 288

Book Description
Qualitative Analysis of Physical Problems reviews the essential features of all the main approaches used for the qualitative analysis of physical problems and demonstrates their application to problems from a wide variety of fields. Topics covered include model construction, dimensional analysis, symmetry, and the method of the small parameter. This book consists of six chapters and begins by looking at various approaches for the construction of models, along with nontrivial applications of dimensional analysis to some typical model systems. The following chapters focus on the application of symmetry to the microscopic and macroscopic properties of systems; the implications of analyticity and occurrence of singularities; and some methods of deriving the magnitude of the solutions (that is, approximate numerical values) for problems that usually cannot be solved exactly in closed form. The final chapter demonstrates the use of qualitative analysis to address the problem of second harmonic generation in nonlinear optics. This monograph will be a useful resource for graduate students, experimental and theoretical physicists, chemists, engineers, college and high school teachers, and those who are interested in obtaining a general perspective of modern physics.

Qualitative Analysis of Physical Problems

Qualitative Analysis of Physical Problems PDF Author: M Gitterman
Publisher: Elsevier
ISBN: 0323157505
Category : Science
Languages : en
Pages : 288

Book Description
Qualitative Analysis of Physical Problems reviews the essential features of all the main approaches used for the qualitative analysis of physical problems and demonstrates their application to problems from a wide variety of fields. Topics covered include model construction, dimensional analysis, symmetry, and the method of the small parameter. This book consists of six chapters and begins by looking at various approaches for the construction of models, along with nontrivial applications of dimensional analysis to some typical model systems. The following chapters focus on the application of symmetry to the microscopic and macroscopic properties of systems; the implications of analyticity and occurrence of singularities; and some methods of deriving the magnitude of the solutions (that is, approximate numerical values) for problems that usually cannot be solved exactly in closed form. The final chapter demonstrates the use of qualitative analysis to address the problem of second harmonic generation in nonlinear optics. This monograph will be a useful resource for graduate students, experimental and theoretical physicists, chemists, engineers, college and high school teachers, and those who are interested in obtaining a general perspective of modern physics.

Qualitative Research in Physical Activity and the Health Professions

Qualitative Research in Physical Activity and the Health Professions PDF Author: William A. Pitney
Publisher: Human Kinetics Publishers
ISBN: 9780736072137
Category : Education
Languages : en
Pages : 219

Book Description
"Qualitative Research in Physical Activity and the Health Professions"" "explains the underlying principles of qualitative inquiry, making it easy for students and practitioners to understand how to design, conduct, and evaluate qualitative research studies.

Variational Principles in Mathematical Physics, Geometry, and Economics

Variational Principles in Mathematical Physics, Geometry, and Economics PDF Author: Alexandru Kristály
Publisher: Cambridge University Press
ISBN: 0521117828
Category : Mathematics
Languages : en
Pages : 385

Book Description
A comprehensive introduction to modern applied functional analysis. Assumes only basic notions of calculus, real analysis, geometry, and differential equations.

Qualitative Research in Physical Activity and the Health Professions

Qualitative Research in Physical Activity and the Health Professions PDF Author: William A. Pitney
Publisher:
ISBN: 9781450404112
Category : Qualitative research
Languages : en
Pages : 218

Book Description
Qualitative research is increasingly more common in the health professions, but most general research texts are limited in their discussion of the guiding principles of qualitative research. As a result, it is difficult for students and practitioners in the fields of athletic training, physical therapy, occupational therapy, physical education, fitness, and health to sort out and apply the concepts involved in this method of research. Qualitative Research in Physical Activity and the Health Professions puts to rest any confusion or misunderstanding about this type of research. The text clearly explains the underlying principles of qualitative inquiry, making it easy for students and practitioners to understand how to design, conduct, and evaluate qualitative research studies. It contrasts the more familiar quantitative designs with qualitative ones, making it easy to follow the flow of information and make associations about how the two methods complement one another. It also presents examples from current literature to accentuate the components of an authentic qualitative research study, including observations, interviews, open-ended questions, and a format for analyzing data. Through Qualitative Research in Physical Activity and the Health Professions, readers learn how to frame a researchable problem, how to develop questions to gain valuable insight that specifically applies to the problem, and how to guide the procedures for data collection and analysis. This text will greatly appeal to physical activity and health students and professionals alike as they seek to learn how to use qualitative research in their work.

Readings in Qualitative Reasoning About Physical Systems

Readings in Qualitative Reasoning About Physical Systems PDF Author: Daniel S. Weld
Publisher: Morgan Kaufmann
ISBN: 1483214478
Category : Science
Languages : en
Pages : 732

Book Description
Readings in Qualitative Reasoning about Physical Systems describes the automated reasoning about the physical world using qualitative representations. This text is divided into nine chapters, each focusing on some aspect of qualitative physics. The first chapter deal with qualitative physics, which is concerned with representing and reasoning about the physical world. The goal of qualitative physics is to capture both the commonsense knowledge of the person on the street and the tacit knowledge underlying the quantitative knowledge used by engineers and scientists. The succeeding chapter discusses the qualitative calculus and its role in constructing an envisionment that includes behavior over both mythical time and elapsed time. These topics are followed by reviews of the mathematical aspects of qualitative reasoning, history-based simulation and temporal reasoning, as well as the intelligence in scientific computing. The final chapters are devoted to automated modeling for qualitative reasoning and causal explanations of behavior. These chapters also examine the qualitative kinematics of reasoning about shape and space. This book will prove useful to psychologists and psychiatrists.

Canadian Journal of Mathematics

Canadian Journal of Mathematics PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 260

Book Description


Nonlinear Analysis and Control of Physical Processes and Fields

Nonlinear Analysis and Control of Physical Processes and Fields PDF Author: Mikhail Z. Zgurovsky
Publisher: Springer Science & Business Media
ISBN: 3642187706
Category : Mathematics
Languages : en
Pages : 508

Book Description
Modern achievements in the intensively developing field of applied mathematics are presented in this monograph. In particular, it proposes a new approach to extremal problem theory for nonlinear operators, differential-operator equations and inclusions, and for variational inequalities in Banach spaces. An axiomatic study of nonlinear maps (including multi-valued ones) is given, and the properties of resolving operators for systems, consisting of operator and differential-operator equations, are stated in nonlinear-map terms. The solvability conditions and the properties of extremal problem solutions are obtained, while their weak expansions and necessary conditions of optimality in variational inequality form are formulated. In addition. the monograph proposes regularization methods and approximation schemes. This book is adressed to scientists, graduates and undergraduates who are interested in nonlinear analysis, control theory, system analysis and differential equations.

Cognitive and Metacognitive Problem-Solving Strategies in Post-16 Physics

Cognitive and Metacognitive Problem-Solving Strategies in Post-16 Physics PDF Author: Ronald Mazorodze
Publisher: Springer Nature
ISBN: 3030246868
Category : Science
Languages : en
Pages : 142

Book Description
This book reports on a study on physics problem solving in real classrooms situations. Problem solving plays a pivotal role in the physics curriculum at all levels. However, physics students’ performance in problem solving all too often remains limited to basic routine problems, with evidence of poor performance in solving problems that go beyond equation retrieval and substitution. Adopting an action research methodology, the study bridges the `research-practical divide ́ by explicitly teaching physics problem-solving strategies through collaborative group problem-solving sessions embedded within the curriculum. Data were collected using external assessments and video recordings of individual and collaborative group problem-solving sessions by 16-18 year-olds. The analysis revealed a positive shift in the students’ problem-solving patterns, both at group and individual level. Students demonstrated a deliberate, well-planned deployment of the taught strategies. The marked positive shifts in collaborative competences, cognitive competences, metacognitive processing and increased self-efficacy are positively correlated with attainment in problem solving in physics. However, this shift proved to be due to different mechanisms triggered in the different students.

Mathematical Modelling

Mathematical Modelling PDF Author: Murray S. Klamkin
Publisher: SIAM
ISBN: 0898712041
Category : Technology & Engineering
Languages : en
Pages : 346

Book Description
Mathematics of Computing -- Miscellaneous.

Intelligent Supervisory Control

Intelligent Supervisory Control PDF Author: H Wang
Publisher: World Scientific
ISBN: 9814498963
Category : Technology & Engineering
Languages : en
Pages : 224

Book Description
In this book, a methodology integrating qualitative reasoning and bond graphs is developed to construct intelligent supervisory control systems. Qualitative reasoning is a powerful model-based reasoning method while bond graphs are a formal modelling language for dynamic systems. Their integration and qualitative reasoning on bond graphs results in a problem-solving approach to artificial intelligence, in which qualitative reasoning is used as the general reasoning strategy and bond graphs are employed as the knowledge representation. A systematic modelling procedure based on qualitative bond graphs is presented. A controller design method is developed to derive control algorithms from qualitative bond graph models. An auto-tuning scheme is proposed to adjust the controllers in order to meet performance criteria and adapt to system changes. A fault diagnosis mechanism is built to localise system faults, and an additional measurement suggestion method is developed for the diagnosis result refinement. An automatic planner is proposed to generate the operation sequences for system start-up, shut-down, and emergency measures to help human operators operate systems safely. All of these applications are combined together via a management mechanism to construct a supervisory control system. Contents: IntroductionReview of Previous WorkQualitative Bond Graph ModellingHybrid Qualitative and Quantitative ControlAuto-TuningFault DiagnosisIntelligent Supervisory ControlConclusions and Suggestions for Future Work Readership: Systems & knowledge engineers, electrical & electronic engineers, mechanical engineers, and researchers in artificial intelligence. keywords: