The Entropy Principle

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The Entropy Principle

Author : André Thess
Publisher : Springer Science & Business Media
ISBN 13 : 3642133495
Total Pages : 186 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis The Entropy Principle by : André Thess

Download or read book The Entropy Principle written by André Thess and published by Springer Science & Business Media. This book was released on 2011-01-04 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: Entropy – the key concept of thermodynamics, clearly explained and carefully illustrated. This book presents an accurate definition of entropy in classical thermodynamics which does not “put the cart before the horse” and is suitable for basic and advanced university courses in thermodynamics. Entropy is the most important and at the same time the most difficult term of thermodynamics to understand. Many students are discontent with its classical definition since it is either based on “temperature” and “heat” which both cannot be accurately defined without entropy, or since it includes concepts such as “molecular disorder” which does not fit in a macroscopic theory. The physicists Elliott Lieb and Jakob Yngvason have recently developed a new formulation of thermodynamics which is free of these problems. The Lieb-Yngvason formulation of classical thermodynamics is based on the concept of adiabatic accessibility and culminates in the entropy principle. The entropy principle represents the accurate mathematical formulation of the second law of thermodynamics. Temperature becomes a derived quantity whereas ”heat” is no longer needed. This book makes the Lieb-Yngvason theory accessible to students. The presentation is supplemented by seven illustrative examples which explain the application of entropy and the entropy principle in practical problems in science and engineering.

Entropy Measures, Maximum Entropy Principle and Emerging Applications

Author : Karmeshu
Publisher : Springer
ISBN 13 : 3540362126
Total Pages : 300 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Entropy Measures, Maximum Entropy Principle and Emerging Applications by : Karmeshu

Download or read book Entropy Measures, Maximum Entropy Principle and Emerging Applications written by Karmeshu and published by Springer. This book was released on 2012-10-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last two decades have witnessed an enormous growth with regard to ap plications of information theoretic framework in areas of physical, biological, engineering and even social sciences. In particular, growth has been spectac ular in the field of information technology,soft computing,nonlinear systems and molecular biology. Claude Shannon in 1948 laid the foundation of the field of information theory in the context of communication theory. It is in deed remarkable that his framework is as relevant today as was when he 1 proposed it. Shannon died on Feb 24, 2001. Arun Netravali observes "As if assuming that inexpensive, high-speed processing would come to pass, Shan non figured out the upper limits on communication rates. First in telephone channels, then in optical communications, and now in wireless, Shannon has had the utmost value in defining the engineering limits we face". Shannon introduced the concept of entropy. The notable feature of the entropy frame work is that it enables quantification of uncertainty present in a system. In many realistic situations one is confronted only with partial or incomplete information in the form of moment, or bounds on these values etc. ; and it is then required to construct a probabilistic model from this partial information. In such situations, the principle of maximum entropy provides a rational ba sis for constructing a probabilistic model. It is thus necessary and important to keep track of advances in the applications of maximum entropy principle to ever expanding areas of knowledge.

Entropy Principle for the Development of Complex Biotic Systems

Author : Ichiro Aoki
Publisher : Elsevier
ISBN 13 : 012394404X
Total Pages : 123 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Entropy Principle for the Development of Complex Biotic Systems by : Ichiro Aoki

Download or read book Entropy Principle for the Development of Complex Biotic Systems written by Ichiro Aoki and published by Elsevier. This book was released on 2012-01-25 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of entropy in thermodynamics is a complex one, though it is fundamental in understanding physics, the workings of the mind, and biology. Entropy is the measure of the quality of energy, and it can also refer to the turn from order to disorder or randomness in isolated systems. In open systems, such as biology, entropy is formulated in terms of production and energy flow. This book establishes a novel view of complex biological systems and the earth using this concept of entropy, encompassing the interdisciplinary area of biology, ecology and physics. This book considers the development over time of a range of biologically complex systems such as plants, animals, humans, and ecosystems, describing them in terms of the second law of thermodynamics, entropy. With its broad coverage of biological systems, this book will be useful for students of environmental science as well as students in biology and physics. Includes discussion of multiple complex systems including the earth and biological systems within it. Suitable for those with little physics background who wish to learn how the laws of physics apply to ecological systems. Clearly organized by system, making information easy to access.

Maximum Entropy and Ecology

Author : John Harte
Publisher : OUP Oxford
ISBN 13 : 0191621161
Total Pages : 280 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Maximum Entropy and Ecology by : John Harte

Download or read book Maximum Entropy and Ecology written by John Harte and published by OUP Oxford. This book was released on 2011-06-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This pioneering graduate textbook provides readers with the concepts and practical tools required to understand the maximum entropy principle, and apply it to an understanding of ecological patterns. Rather than building and combining mechanistic models of ecosystems, the approach is grounded in information theory and the logic of inference. Paralleling the derivation of thermodynamics from the maximum entropy principle, the state variable theory of ecology developed in this book predicts realistic forms for all metrics of ecology that describe patterns in the distribution, abundance, and energetics of species over multiple spatial scales, a wide range of habitats, and diverse taxonomic groups. The first part of the book is foundational, discussing the nature of theory, the relationship of ecology to other sciences, and the concept of the logic of inference. Subsequent sections present the fundamentals of macroecology and of maximum information entropy, starting from first principles. The core of the book integrates these fundamental principles, leading to the derivation and testing of the predictions of the maximum entropy theory of ecology (METE). A final section broadens the book's perspective by showing how METE can help clarify several major issues in conservation biology, placing it in context with other theories and highlighting avenues for future research.

Beyond the Second Law

Author : Roderick C. Dewar
Publisher : Springer
ISBN 13 : 3642401546
Total Pages : 434 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Beyond the Second Law by : Roderick C. Dewar

Download or read book Beyond the Second Law written by Roderick C. Dewar and published by Springer. This book was released on 2013-12-02 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second Law, a cornerstone of thermodynamics, governs the average direction of dissipative, non-equilibrium processes. But it says nothing about their actual rates or the probability of fluctuations about the average. This interdisciplinary book, written and peer-reviewed by international experts, presents recent advances in the search for new non-equilibrium principles beyond the Second Law, and their applications to a wide range of systems across physics, chemistry and biology. Beyond The Second Law brings together traditionally isolated areas of non-equilibrium research and highlights potentially fruitful connections between them, with entropy production playing the unifying role. Key theoretical concepts include the Maximum Entropy Production principle, the Fluctuation Theorem, and the Maximum Entropy method of statistical inference. Applications of these principles are illustrated in such diverse fields as climatology, cosmology, crystal growth morphology, Earth system science, environmental physics, evolutionary biology and technology, fluid turbulence, microbial biogeochemistry, plasma physics, and radiative transport, using a wide variety of analytical and experimental techniques. Beyond The Second Law will appeal to students and researchers wishing to gain an understanding of entropy production and its central place in the science of non-equilibrium systems – both in detail and in terms of the bigger picture.

A Treatise of Heat and Energy

Author : Lin-Shu Wang
Publisher : Springer Nature
ISBN 13 : 3030057461
Total Pages : 312 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis A Treatise of Heat and Energy by : Lin-Shu Wang

Download or read book A Treatise of Heat and Energy written by Lin-Shu Wang and published by Springer Nature. This book was released on 2019-12-07 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook explains the meaning of heat and work and the definition of energy and energy systems. It describes the constructive role of entropy growth and makes the case that energy matters, but entropy growth matters more. Readers will learn that heat can be transferred, produced, and extracted, and that the understanding of generalized heat extraction will revolutionize the design of future buildings as thermal systems for managing low grade heat and greatly contribute to enhanced efficiency of tomorrow’s energy systems and energy ecosystems. Professor Wang presents a coherent theory-structure of thermodynamics and clarifies the meaning of heat and the definition of energy in a manner that is both scientifically rigorous and engaging, and explains contemporary understanding of engineering thermodynamics in continuum of its historical evolution. The textbook reinforces students’ grasp of concepts with end-of-chapter problems and provides a historical background of pioneering work by Black, Laplace, Carnot, Joule, Thomson, Clausius, Maxwell, Planck, Gibbs, Poincare and Prigogine. Developed primarily as a core text for graduate students in engineering programs, and as reference for professional engineers, this book maximizes readers’ understanding and shines a light on new horizons for our energy future.

Maximum-entropy Models in Science and Engineering

Author : Jagat Narain Kapur
Publisher : John Wiley & Sons
ISBN 13 : 9788122402162
Total Pages : 660 pages
Book Rating : 4.4/5 (21 download)

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Book Synopsis Maximum-entropy Models in Science and Engineering by : Jagat Narain Kapur

Download or read book Maximum-entropy Models in Science and Engineering written by Jagat Narain Kapur and published by John Wiley & Sons. This book was released on 1989 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Is The First Comprehensive Book About Maximum Entropy Principle And Its Applications To A Diversity Of Fields Like Statistical Mechanics, Thermo-Dynamics, Business, Economics, Insurance, Finance, Contingency Tables, Characterisation Of Probability Distributions (Univariate As Well As Multivariate, Discrete As Well As Continuous), Statistical Inference, Non-Linear Spectral Analysis Of Time Series, Pattern Recognition, Marketing And Elections, Operations Research And Reliability Theory, Image Processing, Computerised Tomography, Biology And Medicine. There Are Over 600 Specially Constructed Exercises And Extensive Historical And Bibliographical Notes At The End Of Each Chapter.The Book Should Be Of Interest To All Applied Mathematicians, Physicists, Statisticians, Economists, Engineers Of All Types, Business Scientists, Life Scientists, Medical Scientists, Radiologists And Operations Researchers Who Are Interested In Applying The Powerful Methodology Based On Maximum Entropy Principle In Their Respective Fields.

Entropy Optimization Principles with Applications

Author : Jagat Narain Kapur
Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Entropy Optimization Principles with Applications by : Jagat Narain Kapur

Download or read book Entropy Optimization Principles with Applications written by Jagat Narain Kapur and published by . This book was released on 1992 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This senior-level textbook on entropy provides a conceptual framework for the study of probabilistic systems with its elucidation of three key concepts - Shannon's information theory, Jaynes' maximum entropy principle and Kullback's minimum cross-entropy principle.

Entropy and Art

Author : Rudolf Arnheim
Publisher : Univ of California Press
ISBN 13 : 0520266005
Total Pages : 80 pages
Book Rating : 4.5/5 (22 download)

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Book Synopsis Entropy and Art by : Rudolf Arnheim

Download or read book Entropy and Art written by Rudolf Arnheim and published by Univ of California Press. This book was released on 2010-08-02 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This essay is an attempt to reconcile the disturbing contradiction between the striving for order in nature and in man and the principle of entropy implicit in the second law of thermodynamics - between the tendency toward greater organization and the general trend of the material universe toward death and disorder.

The Generalized Maximum Entropy Principle (with Applications)

Author : Jagat Narain Kapur
Publisher :
ISBN 13 : 9780920574256
Total Pages : 213 pages
Book Rating : 4.5/5 (742 download)

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Book Synopsis The Generalized Maximum Entropy Principle (with Applications) by : Jagat Narain Kapur

Download or read book The Generalized Maximum Entropy Principle (with Applications) written by Jagat Narain Kapur and published by . This book was released on 1987 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Entropy Theory and its Application in Environmental and Water Engineering

Author : Vijay P. Singh
Publisher : Wiley-Blackwell
ISBN 13 : 9781119976561
Total Pages : 662 pages
Book Rating : 4.9/5 (765 download)

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Book Synopsis Entropy Theory and its Application in Environmental and Water Engineering by : Vijay P. Singh

Download or read book Entropy Theory and its Application in Environmental and Water Engineering written by Vijay P. Singh and published by Wiley-Blackwell. This book was released on 2013-02-18 with total page 662 pages. Available in PDF, EPUB and Kindle. Book excerpt: Entropy Theory and its Application in Environmental and Water Engineering responds to the need for a book that deals with basic concepts of entropy theory from a hydrologic and water engineering perspective and then for a book that deals with applications of these concepts to a range of water engineering problems. The range of applications of entropy is constantly expanding and new areas finding a use for the theory are continually emerging. The applications of concepts and techniques vary across different subject areas and this book aims to relate them directly to practical problems of environmental and water engineering. The book presents and explains the Principle of Maximum Entropy (POME) and the Principle of Minimum Cross Entropy (POMCE) and their applications to different types of probability distributions. Spatial and inverse spatial entropy are important for urban planning and are presented with clarity. Maximum entropy spectral analysis and minimum cross entropy spectral analysis are powerful techniques for addressing a variety of problems faced by environmental and water scientists and engineers and are described here with illustrative examples. Giving a thorough introduction to the use of entropy to measure the unpredictability in environmental and water systems this book will add an essential statistical method to the toolkit of postgraduates, researchers and academic hydrologists, water resource managers, environmental scientists and engineers. It will also offer a valuable resource for professionals in the same areas, governmental organizations, private companies as well as students in earth sciences, civil and agricultural engineering, and agricultural and rangeland sciences. This book: Provides a thorough introduction to entropy for beginners and more experienced users Uses numerous examples to illustrate the applications of the theoretical principles Allows the reader to apply entropy theory to the solution of practical problems Assumes minimal existing mathematical knowledge Discusses the theory and its various aspects in both univariate and bivariate cases Covers newly expanding areas including neural networks from an entropy perspective and future developments.

Discover Entropy and the Second Law of Thermodynamics

Author :
Publisher :
ISBN 13 : 9814465267
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Discover Entropy and the Second Law of Thermodynamics by :

Download or read book Discover Entropy and the Second Law of Thermodynamics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Entropy Principle for the Development of Complex Biotic Systems

Author : Ichiro Aoki
Publisher : Elsevier
ISBN 13 : 0123914930
Total Pages : 119 pages
Book Rating : 4.1/5 (239 download)

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Book Synopsis Entropy Principle for the Development of Complex Biotic Systems by : Ichiro Aoki

Download or read book Entropy Principle for the Development of Complex Biotic Systems written by Ichiro Aoki and published by Elsevier. This book was released on 2012-01-19 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of entropy in thermodynamics is a complex one, though it is fundamental in understanding physics, the workings of the mind, and biology. Entropy is the measure of the quality of energy, and it can also refer to the turn from order to disorder or randomness in isolated systems. In open systems, such as biology, entropy is formulated in terms of production and energy flow. This book establishes a novel view of complex biological systems and the earth using this concept of entropy, encompassing the interdisciplinary area of biology, ecology and physics. This book considers the development over time of a range of biologically complex systems such as plants, animals, humans, and ecosystems, describing them in terms of the second law of thermodynamics, entropy. With its broad coverage of biological systems, this book will be useful for students of environmental science as well as students in biology and physics. Includes discussion of multiple complex systems including the earth and biological systems within it. Suitable for those with little physics background who wish to learn how the laws of physics apply to ecological systems. Clearly organized by system, making information easy to access.

Entropy and Energy Dissipation in Water Resources

Author : V.P. Singh
Publisher : Springer Science & Business Media
ISBN 13 : 9401124302
Total Pages : 583 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Entropy and Energy Dissipation in Water Resources by : V.P. Singh

Download or read book Entropy and Energy Dissipation in Water Resources written by V.P. Singh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the landmark contributions of C. E. Shannon in 1948, and those of E. T. Jaynes about a decade later, applications of the concept of entropy and the principle of maximum entropy have proliterated in science and engineering. Recent years have witnessed a broad range of new and exciting developments in hydrology and water resources using the entropy concept. These have encompassed innovative methods for hydrologic network design, transfer of information, flow forecasting, reliability assessment for water distribution systems, parameter estimation, derivation of probability distributions, drainage-network analysis, sediment yield modeling and pollutant loading, bridge-scour analysis, construction of velocity profiles, comparative evaluation of hydrologic models, and so on. Some of these methods hold great promise for advancement of engineering practice, permitting rational alternatives to conventional approaches. On the other hand, the concepts of energy and energy dissipation are being increasingly applied to a wide spectrum of problems in environmental and water resources. Both entropy and energy dissipation have their origin in thermodynamics, and are related concepts. Yet, many of the developments using entropy seem to be based entirely on statistical interpretation and have seemingly little physical content. For example, most of the entropy-related developments and applications in water resources have been based on the information-theoretic interpretation of entropy. We believe if the power of the entropy concept is to be fully realized, then its physical basis has to be established.

Extended Thermodynamics

Author : Ingo Müller
Publisher : Springer Science & Business Media
ISBN 13 : 1468404474
Total Pages : 238 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Extended Thermodynamics by : Ingo Müller

Download or read book Extended Thermodynamics written by Ingo Müller and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physicists firmly believe that the differential equations of nature should be hyperbolic so as to exclude action at a distance; yet the equations of irreversible thermodynamics - those of Navier-Stokes and Fourier - are parabolic. This incompatibility between the expectation of physicists and the classical laws of thermodynamics has prompted the formulation of extended thermodynamics. After describing the motifs and early evolution of this new branch of irreversible thermodynamics, the authors apply the theory to mon-atomic gases, mixtures of gases, relativistic gases, and "gases" of phonons and photons. The discussion brings into perspective the various phenomena called second sound, such as heat propagation, propagation of shear stress and concentration, and the second sound in liquid helium. The formal mathematical structure of extended thermodynamics is exposed and the theory is shown to be fully compatible with the kinetic theory of gases. The study closes with the testing of extended thermodynamics through the exploitation of its predictions for measurements of light scattering and sound propagation.

Entropy Theory of Aging Systems

Author : Daniel Hershey
Publisher : World Scientific
ISBN 13 : 1908978651
Total Pages : 276 pages
Book Rating : 4.9/5 (89 download)

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Book Synopsis Entropy Theory of Aging Systems by : Daniel Hershey

Download or read book Entropy Theory of Aging Systems written by Daniel Hershey and published by World Scientific. This book was released on 2009-08-14 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Entropy is a measure of order and disorder. If left alone, aging systems go spontaneously from youthful, low entropy and order to old, high entropy and disorder. This book presents the commonality of entropy principles which govern the birth, maturation, and senescent history of aging humans, corporations, and the universe. Mainly we introduce an entropy theory of aging, based on the non-equilibrium thermodynamic ideas of Ilya Prigogine, leading to the thermodynamic concepts of Excess Entropy (EE) and Excess Entropy Production (EEP). We describe the aging process in humans in terms of the EE and EEP concepts. This book also describes the informational entropy theory and equations of Claude Shannon and the six Hershey parameters which trace and mark the lifecycle of corporations. To conclude, this volume uses classical and informational entropy concepts, equations and calculations to explain the birth, evolution, and death of our aging universe, and all of this in relation to the concept of Infinity. Contents:Life and DeathEntropy, Infinity and GodLifespan and Factors Affecting It: HumansEntropy Theory of Aging Systems: HumansEntropy Theory of Aging Systems: The CorporationEntropy Theory at Aging Systems: The Universe Readership: General audience, astrophysicists, physical chemists, researchers and academics in chaos, physics, engineering, mathematics, social science and life sciences. Keywords:Entropy;Prigogine;Shannon;Information;Hershey;Universe;Lifestyles;Corporations;SystemsKey Features:Describes comprehensively the aging process that is very similar for humans, corporation, and the universeHighlights that Infinity is the universal attractor, where everything begins and endsFeatures essentially an entropy “theory of everything”

Entropy

Author : Andreas Greven
Publisher : Princeton University Press
ISBN 13 : 1400865220
Total Pages : 376 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Entropy by : Andreas Greven

Download or read book Entropy written by Andreas Greven and published by Princeton University Press. This book was released on 2014-09-08 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of entropy arose in the physical sciences during the nineteenth century, particularly in thermodynamics and statistical physics, as a measure of the equilibria and evolution of thermodynamic systems. Two main views developed: the macroscopic view formulated originally by Carnot, Clausius, Gibbs, Planck, and Caratheodory and the microscopic approach associated with Boltzmann and Maxwell. Since then both approaches have made possible deep insights into the nature and behavior of thermodynamic and other microscopically unpredictable processes. However, the mathematical tools used have later developed independently of their original physical background and have led to a plethora of methods and differing conventions. The aim of this book is to identify the unifying threads by providing surveys of the uses and concepts of entropy in diverse areas of mathematics and the physical sciences. Two major threads, emphasized throughout the book, are variational principles and Ljapunov functionals. The book starts by providing basic concepts and terminology, illustrated by examples from both the macroscopic and microscopic lines of thought. In-depth surveys covering the macroscopic, microscopic and probabilistic approaches follow. Part I gives a basic introduction from the views of thermodynamics and probability theory. Part II collects surveys that look at the macroscopic approach of continuum mechanics and physics. Part III deals with the microscopic approach exposing the role of entropy as a concept in probability theory, namely in the analysis of the large time behavior of stochastic processes and in the study of qualitative properties of models in statistical physics. Finally in Part IV applications in dynamical systems, ergodic and information theory are presented. The chapters were written to provide as cohesive an account as possible, making the book accessible to a wide range of graduate students and researchers. Any scientist dealing with systems that exhibit entropy will find the book an invaluable aid to their understanding.