Topological Theory of Dynamical Systems: Recent Advances (repost)

Topological Theory of Dynamical Systems: Recent Advances By N. Aoki, K. Hiraide
English | 1994 | 424 Pages | ISBN: 0444899170 | PDF | 16 MB
This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians.

Although some of the topics discussed are relatively new, others are not: this book is not a collection of research papers, but a textbook to present recent developments of the theory that could be the foundations for future developments.
This book contains a new theory developed by the authors to deal with problems occurring in diffentiable dynamics that are within the scope of general topology. To follow it, the book provides an adequate foundation for topological theory of dynamical systems, and contains tools which are sufficiently powerful throughout the book.

Graduate students (and some undergraduates) with sufficient knowledge of basic general topology, basic topological dynamics, and basic algebraic topology will find little difficulty in reading this book.

Handbags reviews and advice for best reference

Topological Theory of Dynamical Systems: Recent Advances (repost)

Topological Theory of Dynamical Systems: Recent Advances By N. Aoki, K. Hiraide
English | 1994 | 424 Pages | ISBN: 0444899170 | PDF | 16 MB
This monograph aims to provide an advanced account of some aspects of dynamical systems in the framework of general topology, and is intended for use by interested graduate students and working mathematicians.

Although some of the topics discussed are relatively new, others are not: this book is not a collection of research papers, but a textbook to present recent developments of the theory that could be the foundations for future developments.
This book contains a new theory developed by the authors to deal with problems occurring in diffentiable dynamics that are within the scope of general topology. To follow it, the book provides an adequate foundation for topological theory of dynamical systems, and contains tools which are sufficiently powerful throughout the book.

Graduate students (and some undergraduates) with sufficient knowledge of basic general topology, basic topological dynamics, and basic algebraic topology will find little difficulty in reading this book.

Handbags reviews and advice for best reference here

Recent heat spike unlike anything in 11,000 years

WASHINGTON (AP) — A new study looking at 11,000 years of climate temperatures shows the world in the middle of a dramatic U-turn, lurching from near-record cooling to a heat spike.

Research released Thursday in the journal Science uses fossils of tiny marine organisms to reconstruct global temperatures back to the end of the last ice age. It shows how the globe for several thousands of years was cooling until an unprecedented reversal in the 20th century.

Scientists say it is further evidence that modern-day global warming isn't natural, but the result of rising carbon dioxide emissions that have rapidly grown since the Industrial Revolution began roughly 250 years ago.

The decade of 1900 to 1910 was one of the coolest in the past 11,300 years — cooler than 95 percent of the other years, the marine fossil data suggest. Yet 100 years later, the decade of 2000 to 2010 was one of the warmest, said study lead author Shaun Marcott of Oregon State University. Global thermometer records only go back to 1880, and those show the last decade was the hottest for this more recent time period.

"In 100 years, we've gone from the cold end of the spectrum to the warm end of the spectrum," Marcott said. "We've never seen something this rapid. Even in the ice age the global temperature never changed this quickly."

Using fossils from all over the world, Marcott presents the longest continuous record of Earth's average temperature. One of his co-authors last year used the same method to look even farther back. This study fills in the crucial post-ice age time during early human civilization.

Marcott's data indicates that it took 4,000 years for the world to warm about 1.25 degrees from the end of the ice age to about 7,000 years ago. The same fossil-based data suggest a similar level of warming occurring in just one generation: from the 1920s to the 1940s. Actual thermometer records don't show the rise from the 1920s to the 1940s was quite that big and Marcott said for such recent time periods it is better to use actual thermometer readings than his proxies.

Before this study, continuous temperature record reconstruction only went back about 2,000 years. The temperature trend produces a line shaped like a "hockey stick" with a sudden spike after what had been a fairly steady line. That data came from tree rings, ice cores and lake sediments.

Marcott wanted to go farther back, to the end of the last ice age in more detail by using the same marine fossil method his colleague used. That period also coincides with a "really important time for the history of our planet," said Smithsonian Institution research anthropologist Torben Rick. That's the time when people started to first domesticate animals and start agriculture, which is connected to the end of the ice age.

Marcott's research finds the climate had been gently warming out of the ice age with a slow cooling that started about 6,000 years ago.

Then the cooling reversed with a vengeance.

The study shows the recent heat spike "has no precedent as far back as we can go with any confidence, 11,000 years arguably," said Pennsylvania State University professor Michael Mann, who wrote the original hockey stick study but wasn't part of this research. He said scientists may have to go back 125,000 years to find warmer temperatures potentially rivaling today's.

However, another outside scientist, Jeff Severinghaus of the Scripps Institution of Oceanography thinks temperatures may have changed even more dramatically 12,000 years ago, at least in Greenland, based on research by some of his colleagues.

Several outside scientists praised the methods Marcott used, but said it might be a bit too oriented toward the Northern Hemisphere.

Marcott said the general downward trend of temperatures that reversed 100 years ago seemed to indicate the Earth was heading either toward another ice age or little ice age from about 1550 to 1850. Or it was continuing to cool naturally until greenhouse gases from the burning of fossil fuels changed everything.

The reason the globe warmed after the ice age and then started cooling about 6,000 years ago has to do with the tilt of the Earth and its distance from the sun, said Marcott and Severinghaus. Distance and angle in the summer matter because of heat absorption and reflection and ground cover.

"We have, through human emissions of carbon dioxide and other heat-trapping gases, indefinitely delayed the onset of the next ice age and are now heading into an unknown future where humans control the thermostat of the planet," said Katharine Hayhoe, an atmospheric scientist at Texas Tech University, responding in an email.

___

Online:

Science: http://www.sciencemag.org

___

Seth Borenstein can be followed at http://twitter.com/borenbears

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The recent loves of Hefner

The recent loves of Hugh Hefner - CNN.comvar cnnCurrTime=new Date(1357220497000),cnnCurrHour=8,cnnCurrMin=41,cnnCurrDay="Thu",cnnIsIntl=true,clickID=212106,cnn_cvpAdpre="edition.",cnnCVPAdSectionT1="edition.cnn.com_entertainment_t1",cnnCVPAdSectionInPage="edition.cnn.com_entertainment_inpage",cnnShareUrl="%2F2013%2F01%2F01%2Fshowbiz%2Fcelebrity-news-gossip%2Fhugh-hefner-girlfriends-gallery%2Findex.html",cnnShareTitle="The%20recent%20loves%20of%20Hugh%20Hefner",cnnShareDesc="",cnnFirstPub=new Date('Tuesday Jan 1 03:22:53 EST 2013'),cnnSectionName="entertainment",cnnSubSectionName="ent : news",cnnPageType="Story",cnnBrandingValue="default";cnnPartnerValue="";cnnOmniBranding="",cnnAuthor="Lisa Respers France, CNN",disqus_category_id=207582,disqus_identifier="/2013/01/01/showbiz/celebrity-news-gossip/hugh-hefner-girlfriends-gallery/index.html",disqus_title="The recent loves of Hugh Hefner",cnn_edtnswtchver="edition",cnnIsStoryPage=true,cnn_metadata = {};cnn_metadata = {section: ["entertainment","ent : news"],friendly_name: "The recent loves of Hugh Hefner",template_type: "content",template_type_content: "gallery",business: {cnn: {page: {author: "Lisa Respers France, CNN",broadcast_franchise: "",video_embed_count: "0",publish_date: "2013/01/01",photo_gallery: "The recent loves of Hugh Hefner"},video: {video_player: ""}}},user: {authenticated: "",segment: {age: "",zip: "",gender: ""}}};if (typeof(cnnOmniPartner) !== "undefined") {if (cnn_metadata.template_type_content === "") {cnn_metadata.template_type_content = "partner";}}var photo_gallery = "The recent loves of Hugh Hefner";if(typeof CNN==='undefined'){var CNN=Class.create();}CNN.expandableMap=[''];function _loginOptions(){};var disqus_url=(typeof disqus_identifier!=='undefined') ? 'http://www.cnn.com/2013/01/01/showbiz/celebrity-news-gossip/hugh-hefner-girlfriends-gallery/index.html' : 'http://www.cnn.com'+location.pathname;cnnad_newTileIDGroup(['607x95_adlinks','336x280_adlinks']); EDITION:  INTERNATIONAL U.S. MÉXICO ARABIC TV:   CNNi CNN en Español Set edition preference Sign up Log in Home Video World U.S. Africa Asia Europe Latin America Middle East Business World Sport Entertainment Tech Travel iReport PrintEmailMore sharingThe recent loves of Hugh HefnerBy Lisa Respers France, CNNJanuary 1, 2013 -- Updated 2022 GMT (0422 HKT)if (typeof cnnArticleGallery=="undefined"){var cnnArticleGallery={};if(typeof cnnArticleGallery.currentImageList=="undefined"){cnnArticleGallery.currentImageList=[];}}var expGalleryPT00=new ArticleExpandableGallery();expGalleryPT00.setImageCount(6);expGalleryPT00.setAdsRefreshCount(3);//cnn_adbptrackpgalimg("Hugh Hefner and Crystal Harris", 1);.cnn_html_slideshow_metadata > .cnn_html_media_utility::before{color:red;content:'>>';font-size:9px;line-height:12px;padding-right:1px}.cnnstrylccimg640{margin:0 27px 14px 0}.captionText{filter:alpha(opacity=100);opacity:1}.cnn_html_slideshow_media_caption a,.cnn_html_slideshow_media_caption a:visited,.cnn_html_slideshow_media_caption a:link,.captionText a,.captionText a:visited,.captiontext a:link{color:#004276;outline:medium none}.cnnVerticalGalleryPhoto{margin:0 auto;padding-right:68px;width:270px}After a much publicized break-up and reconciliation, Crystal Harris, 26, finally got her man when she married Playboy founder Hugh Hefner, 86, on New Year's Eve. But she's not the first blonde to capture his heart in recent years.cnnArticleGallery.currentImageList[cnnArticleGallery.currentImageList.length]={"currentPicture":true,"x":0,"y":0,"pos":1,"title":"Hugh Hefner and Crystal Harris"}Holly Madison was very open about the fact that she wanted to marry Hef from the time they met in 2001but, alas, the pair split in 2008. As of December 2012 she was expecting her first child with boyfriend Pasquale Rotella.cnnArticleGallery.currentImageList[cnnArticleGallery.currentImageList.length]={"currentPicture":false,"x":0,"y":0,"pos":2,"title":"Holly Madison"}Kendra Wilkinson joined Holly Madison on the E! reality show "The Girls Next Door" along with Bridget Marquardt. In 2009 she married NFL player Hank Baskett and they are the parents of a young son, Hank, Jr.cnnArticleGallery.currentImageList[cnnArticleGallery.currentImageList.length]={"currentPicture":false,"x":0,"y":0,"pos":3,"title":"Kendra Wilkinson "}blogging about animals for Yahoo." border="0" height="360" id="articleGalleryPhoto004" style="margin:0 auto;display:none" width="640"/>Bridget Marquardt rounded out the trio of girlfriends on the E! reality series "The Girls Next Door." She parlayed the experience into a short-lived show on the Travel Channel and most recently a gig blogging about animals for Yahoo.cnnArticleGallery.currentImageList[cnnArticleGallery.currentImageList.length]={"currentPicture":false,"x":0,"y":0,"pos":4,"title":"Bridget Marquardt"}The twins Kristina and Karissa Shannon moved in as new girlfriends along with Hefner's now wife Crystal Harris for the final season of "The Girls Next Door." 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Mortgage applications ease after recent jump: MBA (Reuters)

NEW YORK (Reuters) – Applications for U.S. home mortgages slipped last week after a sharp jump the week before and as interest rates edged up, an industry group said on Wednesday.

The Mortgage Bankers Association said its seasonally adjusted index of mortgage application activity, which includes both refinancing and home purchase demand, fell 5.0 percent in the week ended July 22.

The MBA's seasonally adjusted index of refinancing applications lost 5.5 percent after a 23.1 percent jump the previous week. The gauge of loan requests for home purchases was down 3.8 percent.

The refinance share of mortgage activity dipped to 69.6 percent of total applications from 70.1 percent the week before.

Fixed 30-year mortgage rates averaged 4.57 percent, rising from 4.54 percent.

(Reporting by Leah Schnurr; Editing by Leslie Adler)

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