Book Description
This book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate level. It will be valuable also to the physicist as an introduction to some of the mathematics that has proved useful in these areas, and to the mathematician as an example of where sheaf cohomology and complex manifold theory can be used in physics.
Customer Reviews:
Good introduction.......2006-04-10
I think this book gives a very good introduction to twistor theory. However, it's not an elementary book. Readers should already be familiar with topology, differential geometry, group theory and general relativity. The book is short, as are the chapters, and it gets to the point quickly. I consider it primarily a math book, but aspects of physics are frequently considered.
After a quick introduction and review of tensors the concept of spinors is introduced. It's the usual approach drawing a correspondence between a vector and a rank (1,1) spinor. In particular between a null vector and the product of a spinor with its own conjugate. This is often informally phrased by saying a spinor is the square root of a vector.
Following this the spinor algebra is developed. At this point it is shown how to formulate tensor algebra in terms of spinors (with some bits of projective geometry thrown in). Although the book is developing the mathematics of spinors some familiarity with physics is required to appreciate all the discussion. Without some background in physics, relativity in particular, the significance of this might be missed. Applications considered include: Einstein's equation, the Weyl tensor, principle null directions and the classification of spacetime, Dirac neutrinos, source free Maxwell equations and congruences of null vectors. I would have like to have seen more discussion about the advantages of the spinor formulation, for example, how it makes classifying algebraically special spacetimes simpler.
Twistors are introduced next, this is about one-third of the way through the book. Although the correspondence between twistor space and null geodesics is considered; the original motivation of twistors, to provide a theory of quantum spacetime, isn't emphasized.
The rest of the book mainly contains chapters explaining various applications of twistor theory. They mostly have very physics sounding names like "The non-linear graviton" or "The twisted photon and Yang-Mills construction". My favorite chapter was the one covering Penrose's quasi-local momentum and quasi-local angular momentum. I may have missed something, but with the exception of this chapter I'm not sure any of the others offered any new insights to the world of physics.
On the whole I thought this was a very good book. I liked the pace and the text was clear. It even includes hints to some of the exercises. However, it does require a bit of background knowledge, I would especially recommend being familiar with topology. Obviously it's not as comprehensive as Penrose and Rindler or Ward and Wells, but it's very good for building a foundation.
Book Description
This book deals with the twistor treatment of certain linear and non-linear partial differential equations in mathematical physics. The description in terms of twistors involves algebraic and differential geometry, and several complex variables, and results in a different kind of setting that gives a new perspective on the properties of space-time and field theories. The book is designed to be used by mathematicians and physicists and so the authors have made it reasonably self-contained. The first part contains a development of the necessary mathematical background. In the second part, Yang-Mills fields and gravitational fields (the basic fields of contemporary physics) are described at the classical level. In the final part, the mathematics and physics are married to solve a number of field-theoretical problems.
Customer Reviews:
not so easy ..........2007-08-07
I'm another one of the "total idiots" physicists. Unfortunately, I wasn't so lucky with the book. While I find here and there a few pages that I can understand without too much stress, there are other parts that caused me to abort reading - symbol stack overflow. Why do I get the impression that others here may rate this as a five star book simply to express their (probably well deserved) pride to have understood some of it? It's more than just a little difficult to read this book. They call this an introduction?
beautifully written.......2004-07-29
From the mathematical point of view, this is an enjoyable read; it could even serve as a first exposure to algebraic topology.
It is without question that Penrose's remarkable insights have come a long way in helping physicists foster new mathematical ideas, and put them on solid footing; and this is what the authors have set out to do. It is written in a very clear and lucid style, and it is the most comprehensive expository work in mathematical physics that I have seen in a long time.
-A
A model of clarity.......2004-01-09
This is an extremely well written book. Couldn't be more clear. The authors derserve an AMS award for clarity of exposition. They even explain to physicists (read mathematical idiots) what a sheaf cohomolgy is. Hats raised to their efforts.
Book Description
"Peat grapples with these amazingly recondite notions and succeeds brilliantly in making them clear." --Publishers Weekly
Customer Reviews:
Just what I was looking for.......2007-08-03
Reading an overview about modern thoughts on unifying the physics of particles, relativity and the forces of nature has been on my to do list for a while. Mission accomplished, albeit based on 1988 physics. If there was a more recent follow-up book by F. David Peat I would buy it; there is a lot of content that only wet my appetite to learn more about the details behind the narrative and I have enjoyed the way the author wove this complicated story together.
Excellent Introduction!.......2004-01-22
I found this book to be an excellent introduction to some fascinating fields in theoretical physics. It is easy to read and was hard for me to put down. I am not a Mathematician or a Physicist but this book has done a lot to pique my interest and motivate me to tackle the Math required for a deeper inquiry into these fascinating subjects. I look forward to reading more books by this author.
For neither the scientist or the layman.......2000-06-16
As a scientist familiar with quantum theory, but not a physicist, this book was very frustrating to read. I felt satisfied neither as a layman or a physical chemist. The book quoted several key concepts of superstring theory but did not really explain them in a way that I felt gave me more than a very superficial overview of the field. The digression into twistors was made at a point where more space could have fruitfully been spent adding flesh to the concepts presented early in the book.
Exposes frontier issues & jargon in particle physics.......1999-08-03
This book is non-technical -- it has almost no equations, but is well-illustrated. Just having finished it, I feel it gave a good sense of the major issues involved in this still highly speculative and uncertain field. Readable summary of the state-of-the-art in 1988. Author condescends nicely to the reader: he takes pains to repeat over and over, in slightly varying words, the technical points; this made book wordy; but it was a good strategy since, w/o equations, these esoteric ideas come across vaguely at best. Repetition allows at least "ear knowledge" of the jargon. Please don't expect much more at this level.
Like another reviewer, I was not happy with one-third of the book being devoted to twistors, since these strike this outsider as higher on mathematical elegance than on physical content. I will not fault Peat, however, for doing this since: A) due to his friendship with the Penrose Twistor group he is specially qualified to popularise this subject, and B) the Twistor program, a child of Penrose's brain, is rich in guiding principles, and provides therefore a healthy antidote to the superstrings, which grew up higgeldy-piggeldy by a sequence of "accidental" discoveries -- "It seems to work, but, heck, we don't really know why." Twistors have been less a matter of trial and error. At least they work well for massless particles. (Sidelight: In a blackboard discussion w/ Penrose at Cal Tech that I chanced to overhear about 25 yrs. ago, Feynman told Penrose that no one had succeeded in making massless fields cohere together so as to act like massive fields.)
Should be called Roger Penrose attempt to expose his work.......1999-02-18
The book starts of good and in chapter 7 he breaks of completely from superstrings and starts talking about some new unheard of idea of things called twisters. This would not be bad but twisters are supposed to replace spiners. Spiners to the uninformed are just a very small part of superstring theory.An example is writing a book on a 1998 Corvette and writing about the car for 6 chapers, then the other chapters are about the plug wires. Very Disapointing. If you want to read about some real superstring theory buy any book by Michio Kaku, much, much better books. They actually stick to what they say their about.
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Applications of Analytic and Geometric Methods to Nonlinear Differential Equations (NATO Science Series C:)
Manufacturer: Springer
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ASIN: 0792324579 |
Book Description
In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years. (1) The inverse scattering transform (IST), using complex function theory, which has been employed to solve many physically significant equations, the `soliton' equations. (2) Twistor theory, using differential geometry, which has been used to solve the self-dual Yang--Mills (SDYM) equations, a four-dimensional system having important applications in mathematical physics. Both soliton and the SDYM equations have rich algebraic structures which have been extensively studied.
Recently, it has been conjectured that, in some sense, all soliton equations arise as special cases of the SDYM equations; subsequently many have been discovered as either exact or asymptotic reductions of the SDYM equations. Consequently what seems to be emerging is that a natural, physically significant system such as the SDYM equations provides the basis for a unifying framework underlying this class of integrable systems, i.e. `soliton' systems. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods.
The majority of nonlinear evolution equations are nonintegrable, and so asymptotic, numerical perturbation and reduction techniques are often used to study such equations. This book also contains articles on perturbed soliton equations. Painlevé analysis of partial differential equations, studies of the Painlevé equations and symmetry reductions of nonlinear partial differential equations.
(ABSTRACT)
In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years; the inverse scattering transform (IST), for `soliton' equations and twistor theory, for the self-dual Yang--Mills (SDYM) equations. This book contains several articles on the reduction of the SDYM equations to soliton equations and the relationship between the IST and twistor methods. Additionally, it contains articles on perturbed soliton equations, Painlevé analysis of partial differential equations, studies of the Painlevé equations and symmetry reductions of nonlinear partial differential equations.
Product Description
The author studies the asymptotic behaviour of tame harmonic bundles. First he proves a local freeness of the prolongment of deformed holomorphic bundle by an increasing order. Then he obtains the polarized mixed twistor structure from the data on the divisors. As one of the applications, he obtains the norm estimate of holomorphic or flat sections by weight filtrations of the monodromies. As another application, the author establishes the correspondence of semisimple regular holonomic $D$-modules and polarizable pure imaginary pure twistor $D$-modules through tame pure imaginary harmonic bundles, which is a conjecture of C. Sabbah. Then the regular holonomic version of M. Kashiwara's conjecture follows from the results of Sabbah and the author.
Product Description
The author studies the asymptotic behaviour of tame harmonic bundles. First he proves a local freeness of the prolongment of deformed holomorphic bundle by an increasing order. Then he obtains the polarized mixed twistor structure from the data on the divisors. As one of the applications, he obtains the norm estimate of holomorphic or flat sections by weight filtrations of the monodromies. As another application, the author establishes the correspondence of semisimple regular holonomic $D$-modules and polarizable pure imaginary pure twistor $D$-modules through tame pure imaginary harmonic bundles, which is a conjecture of C. Sabbah. Then the regular holonomic version of M. Kashiwara's conjecture follows from the results of Sabbah and the author.
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Conformal Geometry of Surfaces in S4 and Quaternions
Francis E. Burstall ,
Dirk Ferus ,
Katrin Leschke ,
Franz Pedit , and
Ulrich Pinkall
Manufacturer: Springer
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ASIN: 3540430083 |
Book Description
The conformal geometry of surfaces recently developed by the authors leads to a unified understanding of algebraic curve theory and the geometry of surfaces on the basis of a quaternionic-valued function theory. The book offers an elementary introduction to the subject but takes the reader to rather advanced topics. Willmore surfaces in the foursphere, their Bäcklund and Darboux transforms are covered, and a new proof of the classification of Willmore spheres is given.
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Fundamental Interactions and Twistor-like Methods: XIX Max Born Symposium (AIP Conference Proceedings / Mathematical and Statistical Phsyics)
Manufacturer: American Institute of Physics
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ASIN: 0735402523 |
Book Description
All papers were peer reviewed. The volume contains reports on work done in areas of field theory, supersymmetry, string theory, higher spins, and related topics using group-theoretical and geometrical methods which involve, one way or another, twistor-like techniques (singletons, harmonics, superembeddings, and twistors themselves).
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Further Advances in Twistor Theory, Volume III: Curved Twistor Spaces
Manufacturer: Chapman & Hall/CRC
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ASIN: 1584880473 |
Book Description
Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their generalizations have provided powerful mathematical tools for studying problems in differential geometry, nonlinear equations, and representation theory. At the same time, the theory continues to offer promising new insights into the nature of quantum theory and gravitation. Further Advances in Twistor Theory, Volume III: Curved Twistor Spaces is actually the fourth in a series of books compiling articles from Twistor Newsletter-a somewhat informal journal published periodically by the Oxford research group of Roger Penrose. Motivated both by questions in differential geometry and by the quest to find a twistor correspondence for general Ricci-flat space times, this volume explores deformed twistor spaces and their applications. Articles from the world's leading researchers in this field-including Roger Penrose-have been written in an informal, easy-to-read style and arranged in four chapters, each supplemented by a detailed introduction. Collectively, they trace the development of the twistor programme over the last 20 years and provide an overview of its recent advances and current status.
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- James Baldwin's overlooked masterpiece about a man's juggling identities
- Excellent but not his best.
- Another masterpiece!
- Surprisingly Disappointed
- Among Baldwin's most magnificent fiction
|
Tell Me How Long the Train's Been Gone
James Baldwin
Manufacturer: Vintage
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Baldwin, James
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Similar Items:
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Just Above My Head
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Going to Meet the Man: Stories
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Another Country
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The Fire Next Time
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Go Tell It on the Mountain
ASIN: 0375701893
Release Date: 1998-02-17 |
Book Description
At the height of his theatrical career, the actor Leo Proudhammer is nearly felled by a heart attack. As he hovers between life and death, Baldwin shows the choices that have made him enviably famous and terrifyingly vulnerable.
For between Leo's childhood on the streets of Harlem and his arrival into the intoxicating world of the theater lies a wilderness of desire and loss, shame and rage. An adored older brother vanishes into prison. There are love affairs with a white woman and a younger black man, each of whom will make irresistible claims on Leo's loyalty. And everywhere there is the anguish of being black in a society that at times seems poised on the brink of total racial war. Overpowering in its vitality, extravagant in the intensity of its feeling, Tell Me How Long the Train's Been Gone is a major work of American literature.
Customer Reviews:
James Baldwin's overlooked masterpiece about a man's juggling identities.......2006-04-20
If Giovanni's Room is an unresolved love story between two men, Tell Me How Long the Train's Been Gone puts its protagonist in the center of social spotlight where ideals of ethnics, politics, and sex force him to put on a mask. Leo Proudhammer, a 39-years-old black man, suffers from a heart attack at the height of his theatrical career, forcing him to abort all ongoing performance and rehearsal. As he hovers between life and death, James Baldwin delineates a tapestry of human life that is terrifyingly vulnerable - through the meticulous choices that have rendered him enviously famous in theater, through the racial and gay covering that have split him into multiple identities.
There exists something edgy and cruel about a childhood riddled with braving the Harlem streets. Proudhammer often found him in the spotlight of eyes: eyes of children who outjocked him, eyes of the white cops toward whom he felt a rush of murderous hatred, and the tell-tale eyes of the older folks who suspected of his sexuality. The prose sustains a tincture of anguish, a tinge of paranoid, of being black in a society that at times seems poised on the brink of unstoppable racial war owing the ludicrous demands to cover stereotype associated with both race and sexuality.
The theatrical industry which Proudhammer desires throws him further in disguises. Ironically it is through the many disguises he wears that he comes to term with his means. Instead of fleeing from the truth, he is approaching the reality. Disguises in a sense help make the truth a quantity with which he can live. In the juggling selves, Proudhammer retains loyalty to a white woman and a young black man. At first he might be most intimidated by his color for he does not appear to know that he is colored. He is met with people's baleful exasperation as if he is possessed by some evil spirit. Then he begins to be intimidated (and confronted), far more grievously, by the fact of his sexuality. He is gripped with the realization that he has never, in the sexual context, arrived at an understanding of being bisexual or gay.
Written during a time in which racism and assimilation to white norms are horrifyingly rife, Tell Me How Long the Train's Been Gone brings to vivid view a man struggling to become himself through identities of a black man, a bisexual man, and an artist. Various occasions demand him to cover one of more of these identities in order to fit in. The novel pieces together moments of a man's life that teach one the price of human connection. Trapped in the wrong time, at the wrong place, and with the wrong ambitions trapped in the wrong skin, Proudhammer's perseverance earns him a reward that redeems and justifies all that pain, stigma, and bewilderment he once experienced.
Excellent but not his best........2002-07-10
I bought Tell Me How Long The Train's Been Gone still swooning over Baldwin's Another Country. To my disappointment, this book did not have the same complexity, depth, nor energy that Another Country had. I found myself sticking to the book in some hopes that I would reach the same feeling of satisfaction and rapture that I found with Another Country, or Giovanni's Room. Not a complete waste of time, but not Baldwin's best.
Another masterpiece!.......2001-09-05
This is another of James Baldwin's literary triumphs. Here he weaves the deepest hopes, sorrows, fears and desires of the human condition into an unforgettable tapestry. The story centers around an actor named Leo Proudhammer and the choices he made in his life, the results that followed and the people he shared his life with. Here we read about Leo as a youngster growing up in Harlem, his struggles as a young man trying to break into showbiz amidst a multitude of obstacles and his successful rise to stardom. This is a very poignant and tender but, powerful and gripping story that will hold your attention. Also recommended: "Giovanni's Room", "Another Country" and "Going to Meet the Man".
Surprisingly Disappointed.......2001-03-22
I am a firm believer that any writer worthy of the ink expended in the pursuit of his creative genius should be able to hook a reader into his story within the first one hundred pages of the novel. I'm disappointed to say that this novel by Baldwin falls far short of my expectations of good writing and specifically my expectations of him. In most novels, the author uses the story as a means to make a point. Throughout the first hundred pages of this novel I couldn't help but feel that Baldwin was writing, instead, to prove a point. This would be understandable had the novel been written during the early years of Baldwin's career. During that period publishers showed little interest in the talents of Black writers. Relegating their work as inferior in comparison to that of white authors. However, this novel was published well into Baldwin's career, yet it appears to me that Baldwin is writing more so to prove his ability to write, than to tell a compelling story. The novel's pace is labored with the use of excessive language, creating complex sentence structures that distract from the rhythm of the story. The characters (at least those introduced in the first hundred pages of the book) are lifeless, uninteresting. If a writer can not establish a relationship with the reader through his characters within the first hundred pages why should the reader invest any more of his time?
My experience with some of Baldwin's previous works, specifically, Giovanni's Room and The Fire Next Time, was phenomenal. Although Tell Me How Long The Train's Been Gone falls short of my expectations, my overall experience of Baldwin's work thus far leaves no doubt that in my mind that he was an exceptional writer, worthy of all the acclaim bestowed him. For this reason, I'll continue to read his work, fiction and non-fiction, knowing that with all his greatness, he too like the rest of us, experienced times when he was not at his best.
Among Baldwin's most magnificent fiction.......2000-05-02
Does it sound trite in cold print to say that a book changed your life? In college in the 1970s, a friend suggested this novel to me, and it was my first exposure to James Baldwin. For the first time in my life, I felt I was reading about *me*. Baldwin's gift in writing about how people try to find dignity and self-worth in a world not of their own choosing is breathtaking and heartfelt. Anyone who has ever felt like an outsider will feel great empathy with Baldwin's work. In Tell Me How Long the Train's Been Gone, Baldwin focuses on the shifting relationships between a small group of people trying to work out who they are and how they can be true to themselves in an environment that's often uncaring. Over and over I was struck by the amount of raw experience Baldwin poured onto each page, and the amount of pain that must have been behind each sentence. As the years have gone by, I've also found that you can reread Baldwin at different stages of your life and see something different each time.
Baldwin may be better known for his essays than his fiction, but I've always found his fiction more powerful. This novel, and Just Above My Head, are two of the most beautiful works I've ever read.
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Tell Me How Long the Train's Been Gone
James Baldwin
Manufacturer: Dell
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Binding: Paperback
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ASIN: B000H0JGGC |
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Tell Me How Long the Trains Been Gone
Manufacturer: Dell Publishing
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Binding: Paperback
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ASIN: 0803785798 |
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TELL ME HOW LONG THE TRAIN'S BEEN GONE
James Baldwin
Manufacturer: Dial Press
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Binding: Hardcover
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ASIN: 0718105893 |
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Tell Me How Long The Train's Been Gone
James Baldwin
Manufacturer: Dell
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ASIN: B000L2TP08 |
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Tell Me How Long the Train's Been Gone
James Baldwin
Manufacturer: Dial Press
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ASIN: B000OCEDQ6 |
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Tell Me How Long the Train's Been Gone
James Baldwin
Manufacturer: DIAL PRESS
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ASIN: B000OLE1LO |
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Tell Me How Long the Train's Been Gone
James Baldwin
Manufacturer: Dell
ProductGroup: Book
Binding: Mass Market Paperback
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ASIN: B000KSEU4E |
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Tell Me How Long The Train's Been Gone
James Baldwin
Manufacturer: Dell
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Binding: Mass Market Paperback
General
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ASIN: B000KTRYHS |
Books:
- Analysis, Algebra and Computers in Mathematical Research (Lecture Notes in Pure and Applied Mathematics)
- Analysis and Numerics for Conservation Laws
- Applications of Nonstandard Finite Difference Schemes
- Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded 8th Edition
- Applied Complex Analysis with Partial Differential Equations
- Approaches to Singular Analysis: A Volume of Advances in Partial Differential Equations (Operator Theory: Advances and Applications / Advances in Partial Differential Equations)
- Arithmetic of Diagonal Hypersurfaces over Finite Fields (London Mathematical Society Lecture Note Series)
- Asymptotic Methods for the Fokker-Planck Equation and the Exit Problem in Applications (Springer Series in Synergetics)
- Beyond Perturbation: Introduction to the Homotopy Analysis Method (Modern Mathematics and Mechanics)
- Classical Complex Analysis (Jones and Bartlett Books in Mathematics and Computer Science)
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