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String Theory For Dummies Book by ,

String Theory For Dummies Book
  • Author : ,
  • Publisher : John Wiley & Sons
  • Release Date : 2009-10-22
  • Category: Science
  • Pages : 384
  • ISBN Code: 9780470595848
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Summary: A clear, plain-English guide to this complex scientific theory String theory is the hottest topic in physics right now, with books on the subject (pro and con) flying out of the stores. String Theory For Dummies offers an accessible introduction to this highly mathematical "theory of everything," which posits ten or more dimensions in an attempt to explain the basic nature of matter and energy. Written for both students and people interested in science, this guide explains concepts, discusses the string theory's hypotheses and predictions, and presents the math in an approachable manner. It features in-depth examples and an easy-to-understand style so that readers can understand this controversial, cutting-edge theory.

Newton's Gravity Book by Douglas W. MacDougal

Newton's Gravity Book
  • Author : Douglas W. MacDougal
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-16
  • Category: Science
  • Pages : 433
  • ISBN Code: 1461454441
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Summary: “Newton’s Gravity” conveys the power of simple mathematics to tell the fundamental truth about nature. Many people, for example, know the tides are caused by the pull of the Moon and to a lesser extent the Sun. But very few can explain exactly how and why that happens. Fewer still can calculate the actual pulls of the Moon and Sun on the oceans. This book shows in clear detail how to do this with simple tools. It uniquely crosses disciplines – history, astronomy, physics and mathematics – and takes pains to explain things frequently passed over or taken for granted in other books. Using a problem-based approach, “Newton’s Gravity” explores the surprisingly basic mathematics behind gravity, the most fundamental force that governs the movements of satellites, planets, and the stars. Author Douglas W. MacDougal uses actual problems from the history of astronomy, as well as original examples, to deepen understanding of how discoveries were made and what they mean. “Newton’s Gravity” concentrates strongly on the development of the science of orbital motion, beginning with Galileo, Kepler, and Newton, each of whom is prominently represented. Quotes and problems from Galileo’s Dialogs Concerning Two New Sciences and particularly Newton’s Principia help the reader get inside the mind of those thinkers and see the problems as they saw them, and experience their concise and typically eloquent writing. This book enables students and curious minds to explore the mysteries of celestial motion without having to know advanced mathematics. It will whet the reader’s curiosity to explore further and provide him or her the tools (mathematical or physical) to do so.

The Grand Design Book by Stephen Hawking,Leonard Mlodinow

The Grand Design Book
  • Author : Stephen Hawking,Leonard Mlodinow
  • Publisher : Bantam
  • Release Date : 2010-09-07
  • Category: Science
  • Pages : 208
  • ISBN Code: 0553907077
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Summary: #1 NEW YORK TIMES BESTSELLER When and how did the universe begin? Why are we here? What is the nature of reality? Is the apparent “grand design” of our universe evidence of a benevolent creator who set things in motion—or does science offer another explanation? In this startling and lavishly illustrated book, Stephen Hawking and Leonard Mlodinow present the most recent scientific thinking about these and other abiding mysteries of the universe, in nontechnical language marked by brilliance and simplicity. According to quantum theory, the cosmos does not have just a single existence or history. The authors explain that we ourselves are the product of quantum fluctuations in the early universe, and show how quantum theory predicts the “multiverse”—the idea that ours is just one of many universes that appeared spontaneously out of nothing, each with different laws of nature. They conclude with a riveting assessment of M-theory, an explanation of the laws governing our universe that is currently the only viable candidate for a “theory of everything”: the unified theory that Einstein was looking for, which, if confirmed, would represent the ultimate triumph of human reason.

Metric Theories of Gravity Book by Alexander N. Petrov,Sergei M. Kopeikin,Robert R. Lompay,Bayram Tekin

Metric Theories of Gravity Book
  • Author : Alexander N. Petrov,Sergei M. Kopeikin,Robert R. Lompay,Bayram Tekin
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2017-04-24
  • Category: Science
  • Pages : 621
  • ISBN Code: 3110383403
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Summary: By focusing on the mostly used variational methods, this monograph aspires to give a unified description and comparison of various ways of constructing conserved quantities for perturbations and to study symmetries in general relativity and modified theories of gravity. The main emphasis lies on the field-theoretical covariant formulation of perturbations, the canonical Noether approach and the Belinfante procedure of symmetrisation. The general formalism is applied to build the gauge-invariant cosmological perturbation theory, conserved currents and superpotentials to describe physically important solutions of gravity theories. Meticulous attention is given to the construction of conserved quantities in asymptotically-flat spacetimes as well as in asymptotically constant curvature spacetimes such as the Anti-de Sitter space. Significant part of the book can be used in graduate courses on conservation laws in general relativity. THE SERIES: DE GRUYTER STUDIES IN MATHEMATICAL PHYSICS The series is devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply, and develop further, with sufficient rigor, mathematical methods to given problems in physics. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.

Shocking the Conscience of Humanity Book by Margaret M. deGuzman

Shocking the Conscience of Humanity Book
  • Author : Margaret M. deGuzman
  • Publisher : Oxford University Press
  • Release Date : 2020-04-13
  • Category: Law
  • Pages : 350
  • ISBN Code: 0191089397
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Summary: The most commonly cited justification for international criminal law is that it addresses crimes of such gravity that they "shock the conscience of humanity." From decisions about how to define crimes and when to exercise jurisdiction, to limitations on defences and sentencing determinations, gravity rhetoric permeates the discourse of international criminal law. Yet the concept of gravity has thus far remained highly undertheorized. This book uncovers the consequences for the regime's legitimacy of its heavy reliance on the poorly understood idea of gravity. Margaret M. deGuzman argues that gravity's ambiguity may at times enable a thin consensus to emerge around decisions, such as the creation of an institution or the definition of a crime, but that, increasingly, it undermines efforts to build a strong and resilient global justice community. The book suggests ways to reconceptualize gravity in line with global values and goals to better support the long-term legitimacy of international criminal law.

The Laws of Gravity and Levity Book by Paul Clavelle,Jeff Clavelle

The Laws of Gravity and Levity Book
  • Author : Paul Clavelle,Jeff Clavelle
  • Publisher : Lulu Press, Inc
  • Release Date : 2016-06-06
  • Category: Poetry
  • Pages : N.A
  • ISBN Code: 1483450708
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Summary: The Source Before I die, I want to trace The river to its source – The damp, black earth, The mountainside – And smell the leaves and Needles on the ground, Be speckled in the Light and shadows Of the woods, And cup my hands, And hold the wild, And drink it in.

Inertia and Gravitation Book by Herbert Pfister,Markus King

Inertia and Gravitation Book
  • Author : Herbert Pfister,Markus King
  • Publisher : Springer
  • Release Date : 2015-02-24
  • Category: Science
  • Pages : 180
  • ISBN Code: 3319150367
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Summary: This book focuses on the phenomena of inertia and gravitation, one objective being to shed some new light on the basic laws of gravitational interaction and the fundamental nature and structures of spacetime. Chapter 1 is devoted to an extensive, partly new analysis of the law of inertia. The underlying mathematical and geometrical structure of Newtonian spacetime is presented from a four-dimensional point of view, and some historical difficulties and controversies - in particular the concepts of free particles and straight lines - are critically analyzed, while connections to projective geometry are also explored. The relativistic extensions of the law of gravitation and its intriguing consequences are studied in Chapter 2. This is achieved, following the works of Weyl, Ehlers, Pirani and Schild, by adopting a point of view of the combined conformal and projective structure of spacetime. Specifically, Mach’s fundamental critique of Newton’s concepts of ‘absolute space’ and ‘absolute time’ was a decisive motivation for Einstein’s development of general relativity, and his equivalence principle provided a new perspective on inertia. In Chapter 3 the very special mathematical structure of Einstein’s field equations is analyzed, and some of their remarkable physical predictions are presented. By analyzing different types of dragging phenomena, Chapter 4 reviews to what extent the equivalence principle is realized in general relativity - a question intimately connected to the ‘new force’ of gravitomagnetism, which was theoretically predicted by Einstein and Thirring but which was only recently experimentally confirmed and is thus of current interest.

Understanding the Magic of the Bicycle Book by Joseph W Connolly

Understanding the Magic of the Bicycle Book
  • Author : Joseph W Connolly
  • Publisher : Morgan & Claypool Publishers
  • Release Date : 2017-01-01
  • Category: Science
  • Pages : 226
  • ISBN Code: 1681744414
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Summary: The bicycle is a common, yet unique mechanical contraption in our world. In spite of this, the bike's physical and mechanical principles are understood by a select few. You do not have to be a genius to join this small group of people who understand the physics of cycling. This is your guide to fundamental principles (such as Newton's laws) and the book provides intuitive, basic explanations for the bicycle's behaviour. Each concept is introduced and illustrated with simple, everyday examples. Although cycling is viewed by most as a fun activity, and almost everyone acquires the basic skills at a young age, few understand the laws of nature that give magic to the ride. This is a closer look at some of these fun, exhilarating, and magical aspects of cycling. In the reading, you will also understand other physical principles such as motion, force, energy, power, heat, and temperature.

Causality and Locality in Modern Physics Book by G. Hunter,Stanley Jeffers,J.P. Vigier

Causality and Locality in Modern Physics Book
  • Author : G. Hunter,Stanley Jeffers,J.P. Vigier
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-06-29
  • Category: Science
  • Pages : 502
  • ISBN Code: 9401709904
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Summary: The Symposium entitled: Causality and Locality in Modern Physics and As tronomy: Open Questions and Possible Solutions was held at York University, Toronto, during the last week of August 1997. It was a sequel to a similar sym posium entitled: The Present Status of the Quantum Theory of Light held at the same venue in August 1995. These symposia came about as a result of discussions between Professor Stanley Jeffers and colleagues on the International Organizing Committee. Professor Jeffers was the executive local organizer of the symposia. The 1997 symposium attracted over 120 participants representing 26 different countries and academic institutions. The broad theme of both symposia was the enigma of modern physics: the non-local, and possibly superluminal interactions implied by quantum mechanics, the structure of fundamental particles including the photon, the reconciliation of quantum mechanics with the theory of relativity, and the nature of gravity and inertia. Jean-Pierre Vigier was the guest of honour at both symposia. He was a lively contributor to the discussions of the presentations. The presentations were made as 30-minute lectures, or during an evening poster session. Some participants did not submit a written account of their presentation at the symposium, and not all of the articles submitted for the Proceedings could be included because of the publisher's page limit. The titles and authors of the papers that had to be excluded are listed in an appendix.

Connecting Quarks with the Cosmos Book by National Research Council,Division on Engineering and Physical Sciences,Board on Physics and Astronomy,Committee on the Physics of the Universe

Connecting Quarks with the Cosmos Book
  • Author : National Research Council,Division on Engineering and Physical Sciences,Board on Physics and Astronomy,Committee on the Physics of the Universe
  • Publisher : National Academies Press
  • Release Date : 2003-03-12
  • Category: Science
  • Pages : 222
  • ISBN Code: 9780309171137
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Summary: Advances made by physicists in understanding matter, space, and time and by astronomers in understanding the universe as a whole have closely intertwined the question being asked about the universe at its two extremesâ€"the very large and the very small. This report identifies 11 key questions that have a good chance to be answered in the next decade. It urges that a new research strategy be created that brings to bear the techniques of both astronomy and sub-atomic physics in a cross-disciplinary way to address these questions. The report presents seven recommendations to facilitate the necessary research and development coordination. These recommendations identify key priorities for future scientific projects critical for realizing these scientific opportunities.

Lecture Notes on the General Theory of Relativity Book by Øyvind Grøn

Lecture Notes on the General Theory of Relativity Book
  • Author : Øyvind Grøn
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-03-23
  • Category: Science
  • Pages : 252
  • ISBN Code: 0387881344
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Summary: This book collects lectures on the general theory of relativity given by Dr. Øyvind Grøn at the University of Oslo, Norway. This accessible text allows students to follow the deductions all the way throughout the book.

Ishmael Book by Daniel Quinn

Ishmael Book
  • Author : Daniel Quinn
  • Publisher : Bantam
  • Release Date : 2009-12-16
  • Category: Fiction
  • Pages : 272
  • ISBN Code: 0307574806
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Summary: One of the most beloved and bestselling novels of spiritual adventure ever published, Ishmael has earned a passionate following. This special twenty-fifth anniversary edition features a new foreword and afterword by the author. “A thoughtful, fearlessly low-key novel about the role of our species on the planet . . . laid out for us with an originality and a clarity that few would deny.”—The New York Times Book Review Teacher Seeks Pupil. Must have an earnest desire to save the world. Apply in person. It was just a three-line ad in the personals section, but it launched the adventure of a lifetime. So begins an utterly unique and captivating novel. It is the story of a man who embarks on a highly provocative intellectual adventure with a gorilla—a journey of the mind and spirit that changes forever the way he sees the world and humankind’s place in it. In Ishmael, which received the Turner Tomorrow Fellowship for the best work of fiction offering positive solutions to global problems, Daniel Quinn parses humanity’s origins and its relationship with nature, in search of an answer to this challenging question: How can we save the world from ourselves? Explore Daniel Quinn’s spiritual Ishmael trilogy: ISHMAEL • MY ISHMAEL • THE STORY OF B Praise for Ishmael “As suspenseful, inventive, and socially urgent as any fiction or nonfiction you are likely to read this or any other year.”—The Austin Chronicle “Before we’re halfway through this slim book . . . we’re in [Daniel Quinn’s] grip, we want Ishmael to teach us how to save the planet from ourselves. We want to change our lives.”—The Washington Post “Arthur Koestler, in an essay in which he wondered whether mankind would go the way of the dinosaur, formulated what he called the Dinosaur’s Prayer: ‘Lord, a little more time!’ Ishmael does its bit to answer that prayer and may just possibly have bought us all a little more time.”—Los Angeles Times

Opticks: A Treatise of the Reflections, Refractions, Inflections, and Colours of Light Book by Sir Isaac Newton

Opticks: A Treatise of the Reflections, Refractions, Inflections, and Colours of Light Book
  • Author : Sir Isaac Newton
  • Publisher : Library of Alexandria
  • Release Date : 2020-09-28
  • Category: Optics
  • Pages : 414
  • ISBN Code: 1465595643
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Summary: By the Rays of Light I understand its least Parts, and those as well Successive in the same Lines, as Contemporary in several Lines. For it is manifest that Light consists of Parts, both Successive and Contemporary; because in the same place you may stop that which comes one moment, and let pass that which comes presently after; and in the same time you may stop it in any one place, and let it pass in any other. For that part of Light which is stopp'd cannot be the same with that which is let pass. The least Light or part of Light, which may be stopp'd alone without the rest of the Light, or propagated alone, or do or suffer any thing alone, which the rest of the Light doth not or suffers not, I call a Ray of Light. Refrangibility of the Rays of Light, is their Disposition to be refracted or turned out of their Way in passing out of one transparent Body or Medium into another. And a greater or less Refrangibility of Rays, is their Disposition to be turned more or less out of their Way in like Incidences on the same Medium. Mathematicians usually consider the Rays of Light to be Lines reaching from the luminous Body to the Body illuminated, and the refraction of those Rays to be the bending or breaking of those lines in their passing out of one Medium into another. And thus may Rays and Refractions be considered, if Light be propagated in an instant. But by an Argument taken from the Æquations of the times of the Eclipses of Jupiter's Satellites, it seems that Light is propagated in time, spending in its passage from the Sun to us about seven Minutes of time: And therefore I have chosen to define Rays and Refractions in such general terms as may agree to Light in both cases.

Understanding the Laws of Motion Book by Kristen Petersen

Understanding the Laws of Motion Book
  • Author : Kristen Petersen
  • Publisher : Cavendish Square Publishing, LLC
  • Release Date : 2014-12-15
  • Category: Juvenile Nonfiction
  • Pages : 48
  • ISBN Code: 1502601362
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Summary: Sir Isaac Newton formulated the laws of universal gravitation and the three laws of motion. These explain how forces act on matter, and on how matter responds to forces. This leads to an understanding of how things move.

The Laws of Prosperity Book by Kenneth Copeland

The Laws of Prosperity Book
  • Author : Kenneth Copeland
  • Publisher : Destiny Image Publishers
  • Release Date : 2012-05-01
  • Category: Religion
  • Pages : 132
  • ISBN Code: 1606835173
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Summary: There are instructions set forth in the Word of God to teach men how to live a prosperous life. True prosperity is the ability to apply the power of God to meet any need spiritual, mental, and physical. In this book, Kenneth Copeland shares the revelation of spiritual laws that govern prosperity. The Laws of Prosperity is written to teach you how to apply these laws in your own life so that you can begin to enjoy the great, abundant life that only God can provide.

All Around the Moon Book by Jules Verne

All Around the Moon Book
  • Author : Jules Verne
  • Publisher : Prabhat Prakashan
  • Release Date : 25-10-18
  • Category: Fiction
  • Pages : N.A
  • ISBN Code:
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Summary: A few years ago the world was suddenly astounded by hearing of an experiment of a most novel and daring nature, altogether unprecedented in the annals of science. The BALTIMORE GUN CLUB, a society of artillerymen started in America during the great Civil War, had conceived the idea of nothing less than establishing direct communication with the Moon by means of a projectile! President Barbican, the originator of the enterprise, was strongly encouraged in its feasibility by the astronomers of Cambridge Observatory, and took upon himself to provide all the means necessary to secure its success.

The Coherence of Theism Book by Richard Swinburne

The Coherence of Theism Book
  • Author : Richard Swinburne
  • Publisher : Oxford University Press
  • Release Date : 2016-05-06
  • Category: Philosophy
  • Pages : 320
  • ISBN Code: 0191085316
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Summary: The Coherence of Theism investigates what it means, and whether it is coherent, to say that there is a God. Richard Swinburne concludes that despite philosophical objections, most traditional claims about God are coherent (that is, do not involve contradictions); and although some of the most important claims are coherent only if the words by which they are expressed are being used in analogical senses, this is the way in which theologians have usually claimed that they are being used. When the first edition of this book was published in 1977, it was the first book in the new 'analytic' tradition of philosophy of religion to discuss these issues. Since that time there have been very many books and discussions devoted to them, and this new, substantially rewritten, second edition takes account of these discussions and of new developments in philosophy generally over the past 40 years. These discussions have concerned how to analyse the claim that God is 'omnipotent', whether God can foreknow human free actions, whether God is everlasting or timeless, and what it is for God to be a 'necessary being'. On all these issues this new edition has new things to say.

The Law of Higher Education, A Comprehensive Guide to Legal Implications of Administrative Decision Making Book by William A. Kaplin,Barbara A. Lee,Neal H. Hutchens,Jacob H. Rooksby

The Law of Higher Education, A Comprehensive Guide to Legal Implications of Administrative Decision Making Book
  • Author : William A. Kaplin,Barbara A. Lee,Neal H. Hutchens,Jacob H. Rooksby
  • Publisher : John Wiley & Sons
  • Release Date : 2019-04-02
  • Category: Education
  • Pages : 1120
  • ISBN Code: 1119271894
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Summary: Your must-have resource on the law of higher education Written by recognized experts in the field, the latest edition of The Law of Higher Education, Vol. 2 offers college administrators, legal counsel, and researchers with the most up-to-date, comprehensive coverage of the legal implications of administrative decision making. In the increasingly litigious environment of higher education, William A. Kaplin and Barbara A. Lee’s clear, cogent, and contextualized legal guide proves more and more indispensable every year. Two new authors, Neal H. Hutchens and Jacob H Rooksby, have joined the Kaplin and Lee team to provide additional coverage of important developments in higher education law. From hate speech to student suicide, from intellectual property developments to issues involving FERPA, this comprehensive resource helps ensure you’re ready for anything that may come your way. Includes new material since publication of the previous edition Covers Title IX developments and intellectual property Explores new protections for gay and transgender students and employees Delves into free speech rights of faculty and students in public universities Expands the discussion of faculty academic freedom, student academic freedom, and institutional academic freedom Part of a 2 volume set If this book isn’t on your shelf, it needs to be.

The Laws and Other Legalities of Ireland, 1689-1850 Book by Seán Patrick Donlan

The Laws and Other Legalities of Ireland, 1689-1850 Book
  • Author : Seán Patrick Donlan
  • Publisher : Routledge
  • Release Date : 2016-03-03
  • Category: History
  • Pages : 408
  • ISBN Code: 1317025989
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Summary: While Irish historical writing has long been in thrall to the perceived sectarian character of the legal system, this collection is the first to concentrate attention on the actual relationship that existed between the Irish population and the state under which they lived from the War of the Two Kings (1689-1691) to the Great Famine (1845-1849). Particular attention is paid to an understanding of the legal character of the state and the reach of the rule of law, with contributors addressing such themes as: how law was made and put into effect; how ordinary people experienced the law and social regulations; how Catholics related to the legal institutions of the Protestant confessional state; and how popular notions of legitimacy were developed. These themes contribute to a wider understanding of the nature of the state in the long eighteenth century and will therefore help to situate the study of Irish society into the mainstream of English and European social history.

The Collected Works of Witness Lee, 1990, volume 2 Book by Witness Lee

The Collected Works of Witness Lee, 1990, volume 2 Book
  • Author : Witness Lee
  • Publisher : Living Stream Ministry
  • Release Date : 2021-05-28
  • Category: Religion
  • Pages : 600
  • ISBN Code: 1536006823
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Summary: The Collected Works of Witness Lee, 1990, volume 2, contains messages given by Brother Witness Lee from February 10 through December 21, 1990. During the first three months of 1990 Brother Lee was in Anaheim, California. In early April he traveled to Taipei, Taiwan, and at the end of that month he visited Hualien, Taiwan. He returned to Anaheim in the first part of May and remained there until the end of the third week in August. During that time he visited Long Beach, California. At the end of August Brother Lee visited San Francisco, San Jose, and Berkeley, California. In early September he returned to Anaheim and remained there until the middle of October. During that period he briefly visited San Diego and San Bernardino, California. In the middle of October Brother Lee traveled to the Far East and remained there until the first part of November. During that period he visited Taipei and then Kota Kinabalu, Sibu, Kuching, and Petaling Jaya, Malaysia. In the middle of November he returned to Anaheim and remained there until the end of the year. The contents of this volume are divided into fifteen sections, as follows: 1. Eight messages given in Anaheim, California, on February 10 through May 19. These messages were previously published in a book entitled The Practice of the Group Meetings and are included in this volume under the same title. 2. Four messages given in Anaheim, California, on March 9 and 10. These messages were previously published in a book entitled The Intrinsic Problem in the Lord's Recovery Today and Its Scriptural Remedy. They are included in The Collected Works of Witness Lee, 1989, volume 4, as chapters 3 through 6 of Elders' Training, Book 10: The Eldership and the God-ordained Way (2). Therefore, they are not reprinted in this volume. 3. Four messages given in Taipei, Taiwan, on April 5 through 8. These messages were previously published in Chinese and English in a book entitled The Oneness and the One Accord according to the Lord's Aspiration and the Body Life and Service according to His Pleasure and are included in this volume under the same title. 4. Four messages given in Taipei, Taiwan, on April 12 through 15. They were previously published in Chinese and English in a book entitled A Thorough View of the Body of Christ and are included in this volume under the same title. 5. Four messages given in Taipei, Taiwan, on April 18 through 21. They were previously published in Chinese and English in a book entitled The Mysteries in God's New Testament Economy and are included in this volume under the same title. 6. Three messages given in Taipei, Taiwan, on April 25 through 27. They were previously published in Chinese and English in a ten-chapter book entitled Salvation in Life in the Book of Romans and are included in this volume under the same title. 7. Two messages given in Hualien, Taiwan, on April 28 and 29. They were previously published in Chinese and English in a book entitled Conformation to the Image of the Son of God and are included in this volume under the same title. 8. Five messages given in Anaheim, California, in May and June. These messages were previously published in a book entitled To Be Saved in the Life of Christ as Revealed in Romans and are included in this volume under the same title. 9. Four messages given in Anaheim, California, on May 26 through June 16. These messages were previously published in a book entitled The Practice of Prophesying and are included in this volume under the same title. 10. A message given in Long Beach, California, on June 2. This message was previously published in a small book entitled A Genuine Church and is included in this volume under the same title. 11. A message given in Anaheim, California, on June 23. This message is included in this volume under the title Needing to Be Built Up with Christ, a Proper Character, and a Complete Education in Our College Years. 12. Two messages given in Anaheim, California, on July 7 and 8. These messages were previously published in a book entitled A Brief Presentation of the Lord's Recovery and are included in this volume under the same title. Chapter 2 appears also in The Collected Works of Witness Lee, 1989, volume 4, as chapter 7 of Elders' Training, Book 10: The Eldership and the God-ordained Way (2). 13. A message given in Anaheim, California, on July 8, 1990. This message was previously published in a booklet entitled How to Have a Definite Beginning of the God-ordained Way in a Local Church. It is included in The Collected Works of Witness Lee, 1989, volume 4, as chapter 8 of Elders' Training, Book 10: The Eldership and the God-ordained Way (2). Therefore, it is not reprinted in this volume. 14. A message given in Anaheim, California, on August 13, 1990. This message is included in this volume under the title Being Trained to Know the Depths of the Bible. 15. Twenty-one messages given in Anaheim, California, on August 14 through December 21. These messages were previously published in a twenty-chapter book entitled Messages to the Trainees in Fall 1990 and are included in this volume under the same title.