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Ricci flow and the Poincaré conjecture By John W. Morgan, G. Tian
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ISBN 978-0-8218-4328-4 (alk. paper) 1. Ricci flow. 2. \x3cb\x3ePoincare conjecture\x3c/b\x3e. I. Tian, G. II. Title. III. \x3cb\x3e...\x3c/b\x3e","page_tag":[4,26,35],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PR4\x26dq=poincare+conjecture"},{"page_id":"PR8","page_number":"viii","snippet_text":"Completion of the proof of the \x3cb\x3ePoincare Conjecture\x3c/b\x3e 413 Chapter 18. Finite-time extinction 415 1. The result 415 2. 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COROLLARY 0.2. \x3cb\x3e...\x3c/b\x3e","page_tag":[7,35],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PR10\x26dq=poincare+conjecture"},{"page_id":"PR16","page_number":"xvi","snippet_text":"\x3cb\x3e...\x3c/b\x3e proving the \x3cb\x3ePoincare Conjecture\x3c/b\x3e have received. This process is underway. In this book we do not attempt to explicate any of the results beyond Theorem \x3cb\x3e...\x3c/b\x3e","page_tag":[7],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PR16\x26dq=poincare+conjecture"},{"page_id":"PR42","page_number":"xlii","snippet_text":"\x3cb\x3e...\x3c/b\x3e and the last gives the short-cut to the \x3cb\x3ePoincare Conjecture\x3c/b\x3e and the 3-dimensional spherical space-form \x3cb\x3econjecture\x3c/b\x3e, avoiding the study of the limits as \x3cb\x3e...\x3c/b\x3e","page_tag":[7],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PR42\x26dq=poincare+conjecture"},{"page_id":"PA413","page_number":"413","snippet_text":"Part 4 Completion of the proof of the \x3cb\x3ePoincare Conjecture\x3c/b\x3e \x3cb\x3e...\x3c/b\x3e","page_tag":[26,35],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PA413\x26dq=poincare+conjecture"},{"page_id":"PA415","page_number":"415","snippet_text":"\x3cb\x3e...\x3c/b\x3e oo) (Theorem 15.9), immediately yields Theorem 0.1, thus completing the proof of the \x3cb\x3ePoincare Conjecture\x3c/b\x3e and the 3-dimensional space-form \x3cb\x3econjecture\x3c/b\x3e. 1. \x3cb\x3e...\x3c/b\x3e","page_tag":[7],"page_url":""},{"page_id":"PA517","page_number":"517","snippet_text":"Towards the \x3cb\x3ePoincare conjecture\x3c/b\x3e and the classification of 3-manifolds. Notices Amer. Math. Soc., 50(10):1226-1233, 2003. [51] John Morgan and Gang Tian. \x3cb\x3e...\x3c/b\x3e","page_tag":[8,35],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PA517\x26dq=poincare+conjecture"},{"page_id":"PA521","page_number":"521","snippet_text":"\x3cb\x3e...\x3c/b\x3e 419, 419, 420, 423, 424, 426, 430, 431, 433 perturbed energy, 4%4 \x3cb\x3ePoincare Conjecture\x3c/b\x3e, ix point-picking, 203 polygonal approximation, 450 ramp, xl, 445, \x3cb\x3e...\x3c/b\x3e","page_tag":[9,35],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PA521\x26dq=poincare+conjecture"},{"page_id":"PT1","page_number":"","snippet_text":"For over 100 years the \x3cb\x3ePoincare Conjecture\x3c/b\x3e, which proposes a topo- logical characterization of the 3-sphere, has been the central question in topology. \x3cb\x3e...\x3c/b\x3e","page_tag":[10,23,26,35],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PT1\x26dq=poincare+conjecture"}],"search_query_escaped":"poincare conjecture"});

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... and the Poincare Conjecture dg(t) dt ...
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... HOW and the Poincare Conjecture Th± s On< ...
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... and the Poincare Conjecture JOHN MORGAN GANG TIAN American Mathematical Society Clay Mathematics Institute ...
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3) Includes bibliographical references and index. ISBN 978-0-8218-4328-4 (alk. paper) 1. Ricci flow. 2. Poincare conjecture. I. Tian, G. II. Title. III. ...
Page viii
Completion of the proof of the Poincare Conjecture 413 Chapter 18. Finite-time extinction 415 1. The result 415 2. Disappearance of components with ...
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Introduction In this book we present a complete and detailed proof of The Poincare Conjecture: every closed, smooth, simply connected 3-manifold is ...
Page x
This immediately implies an affirmative resolution of the Poincare Conjecture and of the 3-dimensional spherical space-form conjecture. COROLLARY 0.2. ...
Page xvi
... proving the Poincare Conjecture have received. This process is underway. In this book we do not attempt to explicate any of the results beyond Theorem ...
Page xlii
... and the last gives the short-cut to the Poincare Conjecture and the 3-dimensional spherical space-form conjecture, avoiding the study of the limits as ...
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Part 4 Completion of the proof of the Poincare Conjecture ...
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... oo) (Theorem 15.9), immediately yields Theorem 0.1, thus completing the proof of the
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Poincare Conjecture and the 3-dimensional space-form conjecture. 1. ...
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Towards the Poincare conjecture and the classification of 3-manifolds. Notices Amer. Math. Soc., 50(10):1226-1233, 2003. [51] John Morgan and Gang Tian. ...
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... 419, 419, 420, 423, 424, 426, 430, 431, 433 perturbed energy, 4%4 Poincare Conjecture, ix point-picking, 203 polygonal approximation, 450 ramp, xl, 445, ...
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For over 100 years the Poincare Conjecture, which proposes a topo- logical characterization of the 3-sphere, has been the central question in topology. ...

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Conceptual developments of 20th ... - Google Books

book by kaku: hyperspase



By Michio Kaku, Robert
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Tuesday, July 21, 2009

Beyond Einstein: The Cosmic Quest ... - Google Books

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book:in defense of food

Eat food. Not too much. Mostly plants.

Limited preview - 2008 - 244 pages


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An anemic follow-up to The Omnivore's Dilemma examines food in a nutritional rather than an environmental context.As Pollan (Science and Environmental Journalism/Univ. of California, Berkeley) acknowledges on the first page, his thesis is simple. "Eat food," he writes. "Not too much. Mostly plants." Of course it's not as easy as all that. Like many modern nutritionists, Pollan is critical of what
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This book reminds me a lot of The Evolution Diet- encouraging us to get back to the way we were designed to eat. It's not an easy task in a culture that is so heavily saturated with junk food, but it
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in defense of food by michael pollan


book:parallel world by m. kaku

Parallel Worlds: A Journey Through Creation, Higher Dimensions, and the Future of the Cosmos

by Michio Kaku

Parallel Worlds: A Journey Through Creation, Higher Dimensions, and the Future of the Cosmos Cover

Synopses & Reviews

Publisher Comments:


Is our universe dying?

Could there be other universes?

In Parallel Worlds, world-renowned physicist and bestselling author Michio Kaku, an author who has a knack for bringing the most ethereal ideas down to earth” (Wall Street Journal, takes readers on a fascinating tour of cosmology, M-theory, and its implications for the fate of the universe.

In his first book of physics since Hyperspace, Michio Kaku begins by describing the extraordinary advances that have transformed cosmology over the last century, and particularly over the last decade, forcing scientists around the world to rethink our understanding of the birth of the universe, and its ultimate fate. In Dr. Kaku’s eyes, we are living in a golden age of physics, as new discoveries from the WMAP and COBE satellites and the Hubble space telescope have given us unprecedented pictures of our universe in its infancy.

As astronomers wade through the avalanche of data from the WMAP satellite, a new cosmological picture is emerging. So far, the leading theory about the birth of the universe is the “inflationary universe theory,” a major refinement on the big bang theory. In this theory, our universe may be but one in a multiverse, floating like a bubble in an infinite sea of bubble universes, with new universes being created all the time. A parallel universe may well hover a mere millimeter from our own.

The very idea of parallel universes and the string theory that can explain their existence was once viewed with suspicion by scientists, seen as the province of mystics, charlatans, and cranks. But today, physicists overwhelmingly support string-theory, and its latest iteration, M-theory, as it is this one theory that, if proven correct, would reconcile the four forces of the universe simply and elegantly, and answer the question “What happened before the big bang?”

Already, Kaku explains, the world’s foremost physicists and astronomers are searching for ways to test the theory of the multiverse using highly sophisticated wave detectors, gravity lenses, satellites, and telescopes. The implications of M-theory are fascinating and endless. If parallel worlds do exist, Kaku speculates, in time, perhaps a trillion years or more from now, as appears likely, when our universe grows cold and dark in what scientists describe as a big freeze, advanced civilizations may well find a way to escape our universe in a kind of “inter-dimensional lifeboat.”

An unforgettable journey into black holes and time machines, alternate universes, and multidimensional space, Parallel Worlds gives us a compelling portrait of the revolution sweeping the world of cosmology.

Review:

Advance praise for PARALLEL WORLDS

“In Parallel Worlds, Michio Kaku brings his formidable explanatory talents to bear on one of the strangest and most exciting possibilities to have emerged from modern physics: that our universe may be but one among many, perhaps infinitely many, arrayed in a vast cosmic network. With deft use of analogy and humor, Kaku patiently introduces the reader to variations on this theme of parallel universes, coming from quantum mechanics, cosmology, and most recently, M-theory. Read this book for a wonderful tour, with an expert guide, of a cosmos whose comprehension forces us to stretch to the very limits of imagination.” —Brian Greene, Professor of Theoretical Particle Physics, Columbia University, and author of The Fabric of the Cosmos and The Elegant Universe

“Those who might enjoy a tour of cosmology, time travel, string theory, and the universe in 10 or 11 dimensions will find no better guide than Michio Kaku, a rare individual who has undertaken research in these subject areas yet also knows well how to present this intriguing, complex material in an engaging and easily assimilable style.” —Donald Goldsmith, author of The Runaway Universe and Connecting with the Cosmos

“A highly readable and exhilarating romp through the frontiers of cosmology.”

—Martin Rees, author of Our Cosmic Habitat and Our Final Century

“A roller-coaster ride through the universe—and beyond—by one of the world’s finest science writers. Michio Kaku shows that the surface familiarity of the physical world conceals a wonderland of weird entities—dark matter and energy, hidden dimensions of space, and tiny loops of vibrating string that hold the cosmos together. In the universe according to Kaku, reality is as mind-bending as the most exhilarating science fiction.” —Paul Davies, Australian Centre for Astrobiology, Macquarie University, Sydney, and author of How to Build a Time Machine

“Michio Kaku has done it again. In Parallel Worlds, he deftly transforms the frontier of physics into a kind of amusement park, where you actually have fun while reading about Einstein's relativity, quantum mechanics, cosmology, and string theory. But the real story here is how Kaku invokes these powerful tools to speculate about multiple universes and their philosophical implications for our perceptions of God and the meaning of life.” —Neil deGrasse Tyson, Astrophysicist and Director of the Hayden Planetarium, New York City, and author of Origins: Fourteen Billion Years of Cosmic Evolution

Review:

“In Parallel Worlds, Michio Kaku brings his formidable explanatory talents to bear on one of the strangest and most exciting possibilities to have emerged from modern physics: that our universe may be but one among many, perhaps infinitely many, arrayed in a vast cosmic network. With deft use of analogy and humor, Kaku patiently introduces the reader to variations on this theme of parallel universes, coming from quantum mechanics, cosmology, and most recently, M-theory. Read this book for a wonderful tour, with an expert guide, of a cosmos whose comprehension forces us to stretch to the very limits of imagination.” —Brian Greene, Professor of Theoretical Particle Physics, Columbia University, and author of The Fabric of the Cosmos and The Elegant Universe

Review:

“Kaku covers a tremendous amount of material . . . in a clear and lively way.” –Los Angeles Times Book Review

Review:

“Those who might enjoy a tour of cosmology, time travel, string theory, and the universe in 10 or 11 dimensions will find no better guide than Michio Kaku, a rare individual who has undertaken research in these subject areas yet also knows well how to present this intriguing, complex material in an engaging and easily assimilable style.” —Donald Goldsmith, author of The Runaway Universe and Connecting with the Cosmos

Review:

“Michio Kaku has done it again. In Parallel Worlds, he deftly transforms the frontier of physics into a kind of amusement park, where you actually have fun while reading about Einstein's relativity, quantum mechanics, cosmology, and string theory. But the real story here is how Kaku invokes these powerful tools to speculate about multiple universes and their philosophical implications for our perceptions of God and the meaning of life.” —Neil deGrasse Tyson, Astrophysicist and Director of the Hayden Planetarium, New York City, and author of Origins: Fourteen Billion Years of Cosmic Evolution

Review:

“One hundred years ago, Albert Einstein revolutionized the science of cosmology. In Parallel Worlds, Michio Kaku, another genius, updates us on the this science and speculates about the future of the universe.” –San Antonio Express-News

Synopsis:

In this thrilling journey into the mysteries of our cosmos, bestselling author Michio Kaku takes us on a dizzying ride to explore black holes and time machines, multidimensional space and, most tantalizing of all, the possibility that parallel universes may lay alongside our own.

Kaku skillfully guides us through the latest innovations in string theory and its latest iteration, M-theory, which posits that our universe may be just one in an endless multiverse, a singular bubble floating in a sea of infinite bubble universes. If M-theory is proven correct, we may perhaps finally find answer to the question, “What happened before the big bang?” This is an exciting and unforgettable introduction into the new cutting-edge theories of physics and cosmology from one of the pre-eminent voices in the field.

About the Author

Dr. Michio Kaku is professor of theoretical physics at the City University of New York and a co-founder of string field theory. He is the author of several widely acclaimed books, including Visions, Beyond Einstein, and Hyperspace, which was named one of the best science books of the year by the New York Times and the Washington Post. He hosts a nationally syndicated radio science program and has appeared on such national television shows as Nightline, 60 Minutes, Good Morning America, and Larry King Live.

Table of Contents

Acknowledgments

Preface

PART ONE: THE UNIVERSE

Chapter One: Baby Pictures of the Universe

Chapter Two: The Paradoxical Universe

Chapter Three: The Big Bang

Chapter Four: Inflation and Parallel Universes

PART TWO: THE MULTIVERSE

Chapter Five: Dimensional Portals and Time Travel

Chapter Six: Parallel Quantum Universes

Chapter Seven: M-Theory: The Mother of All Strings

Chapter Eight: A Designer Universe?

Chapter Nine: Searching for Echoes from the Eleventh Dimension

PART THREE: ESCAPE INTO HYPERSPACE

Chapter Ten: The End of Everything

Chapter Eleven: Escaping the Universe

Chapter Twelve: Beyond the Multiverse

In defense of food: an eater's manifesto - Google Books

In defense of food: an eater's manifesto - Google Books

The island of Formosa, past and ... - Google Books

The island of Formosa, past and ... - Google Books

Thursday, July 16, 2009

victor lin's bio

Biography of Victor j. Lin

“one of the foremost keepers of the flame in jazz today.”
-Jack Kleinsinger, Highlights In Jazz

Victor Lin is an educator and performer from Seattle, WA currently residing in New York City. A jazz pianist and violinist, Victor has an undergraduate degree in music from the University of Washington and a masters degree in jazz studies from Rutgers University, where he was a student of Kenny Barron. He is currently finishing his doctorate in music education at Columbia University Teachers College, where he teaches jazz piano and jazz ensembles.

In New York City, Victor has performed in a wide and eclectic variety of contexts. As a pianist, he has performed at Lincoln Center Out-Of-Doors, Bryant Park’s Piano Series, and recently been featured in Jack Kleinsinger’s “Highlights In Jazz” at the Tribeca Performing Arts Center. In addition, Victor has performed at Flushing Town Hall, The Japan Society, The Blue Note, and is a regular at the well-known Knickerbocker in downtown Manhattan. As a violinist, he has been a part of Frank Vignola’s Hot Club USA and The Howard Fishman Quartet.

Aside from his performance credentials, Victor’s primary focus has been on education. He has been on the faculty of the prestigious Stanford Jazz Workshop for the past eleven years, taught at the Mark O’Connor Fiddle Camp for three years, and currently directs the jazz program at The Calhoun School, a private progressive education school on the upper west side of Manhattan.

Victor has always been focused on a larger scope of education with students of all ages, exploring how best to use music as a means of education about larger issues of culture, race, and society. As a first generation American-born Taiwanese, Victor hopes that his skills as a musician and an educator will serve to raise awareness and break down perceptions of the stereotypes of all races and cultures.

Monday, June 15, 2009

啟動台灣獨立建國連署
「台灣國民會議」新聞稿2009年6月10日

「台灣國民會議」聯合台灣本土社團,擬於6月10日啟動「百萬人獨立建國連署」運動,連署運動之執行將由「公投護台灣聯盟」以及「台灣民間議會」負責。近來,包括美國在內的國際社會,受到「國共和解」氣氛的誤導,而誤信「海峽兩邊人民都主張統一」。「台灣國民會議」認為這種發展對台灣獨立建國運動是不利的,因此決定巡迴全台各地推動「百萬人獨立建國連署」。之後,將以連署成果向聯合國、美國、日本、歐盟等國際組織和民主國家,表達台灣人要求獨立建國的強烈意願,尋求國際社會尊重台灣民族之自決權,支持台灣人以符合國際規範的住民公開投票方式來決定台灣的前途。

在台灣某些自認為自己是「中國人」,而不認同台灣應該獨立建國的赤藍人(Chanian),完全不敢面對台灣主權不屬於「中華民國」的事實。馬英九在今年4月28日出席國史館主辦的活動中誑言:日本已經在1952年簽訂的《台北和約》中,把台灣、澎湖主權讓渡給「中華民國」。日本交流協會代表齋藤正樹立刻於5月1日上午,藉應邀於嘉義中正大學演講之機會,重申「台灣地位未定論」,重重打了馬英九一個巴掌。即使在中國黨的抗議下,日本政府的立場仍是:日本已在舊金山和約的第二條放棄對台灣的所有權利、權原與請求權,因此,有關台灣的法定地位,沒有獨自認定的立場。換句話說,日本政府正告馬英九:日本在1951年的《舊金山和約》中已經放棄對台灣的主權,因此,在1952年已經沒有權利和立場處分台灣的歸屬,也就不可能把台灣、澎湖主權在《台北和約》中讓渡給「中華民國」。

台灣是歷代台灣人賴以為生的土地、塑造美夢的家園,近400年來台灣人不斷遭受外來政權的壓迫和剝削,這種共同的命運和願景鑄成了共同的社會特質,結合而形成了台灣民族。台灣民族要出頭天,就一定要掙脫歷史的惡性循環,驅逐中國黨外來政權,建立屬於台灣人自己的獨立國家。「百萬人獨立建國連署」運動就是要鼓舞台灣人勇敢站出來,公開向國際社會主張台灣屬於台灣人,並且堅定表達台灣人不做中國人,台灣人要獨立建國,建立一個現代化的民主國家,參與國際社會的永續發展。
請寄到:台北市新生南路三段4號14樓之6
或親自送到立法院大門前,立法院大門前還可以連署喔!

Wednesday, May 06, 2009

book by john medina,brain rules

Synopsis

Although most of us have no idea of what's going on in our heads, brain scientists have figured out a lot about how the brain works. John Medina explains what scientists know for sure about our brains and how exercise, memory, sleep, and stress might influence the way we teach our children and the way we work. The book includes the Brain Rules Bonus DVD.

Publishers Weekly

Multitasking is the great buzz word in business today, but as developmental molecular biologist Medina tells readers in a chapter on attention, the brain can really only focus on one thing at a time. This alone is the best argument for not talking on your cellphone while driving. Medina (The Genetic Inferno) presents readers with a basket containing an even dozen good principles on how the brain works and how we can use them to our benefit at home and work. The author says our visual sense trumps all other senses, so pump up those PowerPoint presentations with graphics. The author says that we don't sleep to give our brain a rest-studies show our neurons firing furiously away while the rest of the body is catching a few z's. While our brain indeed loses cells as we age, it compensates so that we continue to be able to learn well into our golden years. Many of these findings and minutiae will be familiar to science buffs, but the author employs an appealing style, with suggestions on how to apply his principles, which should engage all readers.

book by john medina: brain rules