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Senior: 3.30pm Galway v Tipperary GAA Hurling Semi Final Minor: 1.30pm Galway v Tipperary Deadline for both Group and Club Passes is Friday 5th Aug 2016 (subject to availability) Tickets are now on general sale online and via the SuperValu/Centra stores.Tickets available also, for Clubs, Season Ticket Holders, Members of Supporters Club in Pearse Stadium between 10.00am and 4.30pm, from Wednesday 3rd August to 4pm on Friday 12th August.print WhatsApp Facebook Twitter Email Please see below the ticketing details for the GAA Hurling All Ireland Semi Finals, on 14th August in Croke Park. Family Tickets:- Family Tickets – Cusack and Davin Stands OnlyAdults – €40 & Juveniles – €5 Prices as follows: Hogan Stand (No Concession) – €40Cusack Stand – €40Terrace – €25 Group & Club Pass:- Wheelchair Tickets:- The Wheelchair Ticket and Assistant's ticket is €40 Forms can be downloaded from http://www.gaa.ie/tickets/club-offers (PLEASE BOOK IMMEDIATELY) Students & Senior Citizens (Cusack & Davin Stand Only):- Purchase full price tickets and get rebate of €10 with valid I.D. at Block D, Stiles 1 to 5 in the Cusack Stand(Rebate can only be claimed on entry into the stadium via BLOCK D) Club Pass for Adults- €10. Max 50 tickets per club, one application only per club. Group pass – Juveniles U-16 €3 each (you are permitted to bring 1 adult free with every ten Juveniles) any additional adults pay full price for their tickets.
Eamonn Deacy Park Galway United v Dundalk Dundalk goalscorers: David McMillan (brace)Galway United goalscorer: Eric Foleyprint WhatsApp Facebook Twitter Email Friday, August 5th. Kick-off: 8.00pmGalway United welcome Dundalk FC to Eamonn Deacy Park on Friday night, fresh from their Champion League win against BATE Borisov in Tallaght Stadium. The match is being screened LIVE on eir Sport.League leaders Dundalk travel to Corribside for the first time in 2016. The match kicks-off at the later time of 8.00pm.Galway United, who currently sit in 5th place in the SSE Airtricity League Premier Division table, won their last home outing against Wexford Youths 4-2, but last week they were held by Longford Town at the City Calling Stadium in a frustrating 1-1 draw.Tribesmen boss Tommy Dunne wants his players to keep the pressure on 4th place Shamrock Rovers when the Lilywhites come to town, but he acknowledges it will be a difficult task against Stephen Kenny's side.DUNNE CALLS FOR CONSISTENCY AHEAD OF LILYWHITES CLASH"I was at Dundalk's game against BATE in Tallaght Stadium, it was a wonderful performance from them. Everybody in the ground was on their feet at the end. We're happy for them."We're really looking to the Dundalk game, especially after they secured such a high profile win in Europe. It's a great test for us."It just shows that if we're not one hundred percent tuned in, then the quality that Dundalk possess will cause us serious problems. Everybody at the club is relishing the match. It's an exciting game to look forward to, both teams play good football."After Tommy Dunne saw his side draw against bottom of the table Longford Town for the second time this season, the Dubliner has called for more consistency at Eamonn Deacy Park."The reason teams are in the top half is they have that level of consistency, they perform at a level for more sustained periods. We need to make sure that we're a little more consistent in our performances."When we went 1-0 down to Longford Town last week, that's when we really started to get out and play. There is no need for us to wait until that stage of a game before we get going."It's hugely important that we perform to best of our ability against Dundalk. On Friday, the game is live on television. A lot of people will be tuning in and we're expecting a big crowd at Eamonn Deacy Park too."We're keen to give a good account of ourselves as always in-front of our supporters," he concluded.TEAM NEWSYoung attackers Padraic Cunningham (groin) and Jesse Devers (broken hand) are both ruled out of Friday's clash against Dundalk.Stephen Folan and Gary Shanahan both picked up knocks against Longford Town last week, forcing the duo off at the City Calling Stadium. Both players are rated as doubtful for the Dundalk game.REFEREEDerek Tomney (Dublin)GALWAY UNITED GOALSCORERSVinny Faherty – 10Padraic Cunningham – 3Gary Shanahan – 3Kevin Devaney – 2Enda Curran – 2Ryan Connolly – 2Ruairi Keating – 2Eric Foley – 2Marc Ludden – 1John Sullivan – 1Paul Sinnott – 1FORM GUIDEGalway United – DDLWDDundalk – WDDLWLAST MEETING6 May 2016 | Dundalk 2-1 Galway United
FORT ST. JOHN, B.C. – The City of FSJ has been flooding the Mathews Skating Ice Loop and it is now open for people to skate upon.The City of FSJ has finished the construction of their Mathew's Park Skating Ice Loop by building a base with snow and water and using additional water to flood the space with the temperatures to create the Ice of the loop.For the third year, the Skating Ice Loop is a very popular place for residents to enjoy going out to enjoy, with its location and being able to skate through the trees makes for a scenic and beautiful experience.- Advertisement -This is an appreciated space for the community as it is well used and respected. To ensure everyone that is using the Skating Ice Loop continues to enjoy their time and be safe, rules are in place and everyone's cooperation is appreciated.Hours of Skating are from Dawn until DuskWhen the Green Flag is posted the loop is Good to Skate, the Red Flag means No SkatingAlways Skate to the left on the loop and watch for uneven surfaces and elevation changesChildren 12 and under must be supervised by an adultSkate at your own risk – In case of emergency call 911To report ice damage call City Hall – 250.787.8150No food or drink, glass containers, or fires permittedNo racing, speed skating or chain skating
Jose Mourinho suggested Liverpool and Arsenal were not big enough clubs 1 Jose Mourinho has had another dig at Arsene Wenger and Jurgen Klopp, suggesting they are not at clubs big enough to make a signing like Manchester United's world-record £89million capture of Paul Pogba.Last Friday United manager Mourinho branded his Arsenal counterpart Wenger and Liverpool boss Klopp "not ethical" after they questioned the fee the Red Devils were reportedly set to splash out on bringing midfielder Pogba back from Juventus.And following United's announcement in the early hours of Tuesday morning that the Pogba deal was officially done, Mourinho told MUTV: "I know the discussion, I understand that, sometimes in football, things happen and the club breaks the record, but this is only possible at clubs like Man United."When I heard some of the comments and heard some of the managers criticising that, I don't think they ever have this problem because, to have this problem, you need to be at one of the top clubs in the world. So at Man United it can happen."While Mourinho feels the "unbelievable" Pogba "has everything", he has stressed it may take time before the 23-year-old France international is fully firing in the United side and has vowed to "protect" him if needed."He's a very young player, an unbelievable midfield player with such physicality but, at the same time, such agility, co-ordination, skill. He has everything," the Portuguese said."What he has to learn now is how to play with us because I always say that in football you can be a super player, like he is, but a team is a team and you need to learn how to play in the team, and the team needs to learn how to play with you."We need to get the best out of him and this will be a process. So if he needs protection, I am here to protect."I know some people think that he arrives here now and, the first time he touches the ball, he scores, but I'm here to protect him and give him the best conditions to be what we think he is going to be, which is a football player for Man United, a reference for this club. I'm so happy."Four years on from leaving for Juve, Pogba has returned to United as one of the biggest stars in the game.Asked if the player seemed happy to be back in Manchester, Mourinho replied: "I can feel that when I speak with him for the first time. I'm feeling now when I see him at the training ground with people he knows since he was a kid. He doesn't look like a star."He looks like a kid who is back to his old school and is finding people that he cares about and people that love him a lot."So I believe that, after a couple of days, he will feel like he never left the club. So I think at adaptation level, he's not a new player – he's just a kid back home again."
Coral's Simon Clare joins the Alan Brazil Sports Breakfast to round up the latest sporting odds.With the draw for the Carabao Cup quarter-finals coming later on Thursday, the Breakfast boys took a look at the latest odds after the fourth round came to a stunning close last night.West Ham lifted the gloom by coming back from 2-0 down to beat London rivals Tottenham 3-2 in a remarkable comeback at Wembley Stadium, and Slaven Blic's men are 14/1 to lift the cup.Meanwhile, Chelsea booked their spot in the quarter-final draw with a 2-1 win over Everton and the Blues are 7/2 for gloryManchester City are the current 2/1 favourites with cross-town rivals Manchester United second in the running at 100/30.Arsenal are 5/1, Leicester are 9/1, Bournemouth are 22/1 and Championship outfit Bristol City – who thumped Crystal Palace 4-1 in the fourth round – are 66/1 to be crowned surprise champions.Coral is the official betting partner of the Alan Brazil Sports Breakfast
This post is the first in a series about transcripts and captions for videos and podcasts. Every week I hear from friends and colleagues about the launch of their new podcast or video series. They're excited about their work and love the ability to share their knowledge and advice. I'm happy to hear the news, it takes a lot of planning to produce a podcast or video. Their audience has responded with positive feedback. My friends and colleagues are thrilled to expand their reach.When I ask them if they've added transcripts or captions to their videos and podcasts, 100% say no. And when I ask why, I hear "We don't have the money." or "How do I do it?" or "I don't have time."They've spent time researching how to create videos and podcasts, invested money purchasing recording equipment, learned how to upload their videos and podcasts online, but are missing a great opportunity to reach a wider online audience.If you want to reach more people and have your videos and podcasts be found online, read on and learn how captions and transcripts can make that happen. CompetitionFace it, if you're publishing videos and podcasts, you've got a lot of competition. According to YouTube Statistics, 100 hours of video are uploaded to YouTube every minute. And with the low point of entry (you can record on your smartphone), hundreds of podcasts are launched each week.So, what can you do?Why You Want to Add Transcripts and CaptionsTranscripts and captions make videos and podcasts findable and searchable. You want people to find the information they're searching for. And you want more people finding your videos and podcasts. Here are some of the benefits of adding transcripts and captions:Better rankings in search engines. Search engines can't "listen " to audio; they can't "view" video. They crawl text. By adding transcripts and captions, search engines can index the text and make your podcasts and videos available to people who are searching for specific topics or terms. Given Google and YouTube are the top two search engines, you want to make sure your content is easily found and ranks well.Note: many people think the automatic captions provided by YouTube are indexed. They aren't, due to the large number of errors. Automatic captions are a great place to start as a first draft; I'll share more information about creating captions in an upcoming post in this series.Text can be translated and/or read. Your audience includes people who speak another language or speak English as a second language, as well as people who may not understand English well.With 80 percent of views on YouTube coming from outside of the United States, you have a huge opportunity to grow your audience with non-English speaking viewers. Transcripts and captions make your content accessible to more languages.For people who are searching for specific information, having a transcript means they can scan your content. You have may spoken quickly and the person listening/watching didn't understand what you said. Having a transcript means they can quickly follow and/or scan the text to more easily understand what you're saying.Improved accessibility. Your audience also includes people who are hard of hearing or deaf, those people in a work environment with background noise, as well as people using assistive technology. Give everyone an opportunity to discover your podcasts and videos. Don't create barricades that prevent them from accessing your content. Video captions mean anyone can watch and understand your content, even if there's no sound. If you're on a plane, like I was last week, and have no headphones (I gave them to my son, who was traveling with me, and forgot his earbuds), I can still watch a video and understand it. Accessible content is required for government agencies, educational institutions, and many organizations who do business with or receive funding through the government through various regulations and laws. You can learn more about accessibility legislation in the United States, Canada, and the United Kingdom. Captions/subtitles increase video viewing time. According to studies of online video by PLYmedia, captions/subtitles can increase the time a user watches a video by 40 percent. For videos with captions/subtitles, 80 percent more people watched the entire video. Which means they're more engaged and more likely to come back to watch more videos. Hopefully, the reasons I've described for adding captions and transcripts have convinced you they're an important feature for your podcasts and videos. In the next posts for this series, I'll share information on cost and how to add captions and transcripts with third-party services or on your own.Share this:Click to share on Twitter (Opens in new window)Click to share on Facebook (Opens in new window)Click to print (Opens in new window)Like this:Like Loading…RelatedDo It Yourself Transcripts and CaptionsThis is part 3 in an ongoing series on transcripts and captions for videos and podcasts. Check out the first two posts in the series: Benefits of Transcripts and Captions for Your Videos and Podcasts Transcripts and Captions: Do-It-Yourself or Outsource? Other posts for the series are listed at the…In "Accessibility"Caption Your Videos: You Have No ExcuseUpdated November 13, 2019: Based on recent news that Rev has decreased pay for their independent contractors to lower than minimum wage, I no longer recommend Rev as a caption/transcript vendor. At this time, I don't have another recommendation to offer. I'm currently researching and talking with other web professionals…In "Accessibility"On Adding Captions to VideosWhen my friend David Brooks announced the launch of the Mr. Meaner app this weekend, I was excited to try it out. Mr. Meaner allows you to find out what laws apply in the state you're traveling in. Use the mobile app to find out if you can use your…In "Accessibility"
By Paul LeckerSports ReporterKROENENWETTER — Stratford held Northland Lutheran to eight points in the first half and cruised to a 50-21 victory over the Wildcats in a Marawood Conference South Division girls basketball game Thursday night at Northland Lutheran High School.The Tigers led 23-8 at half and put the game away with a 13-6 run in the third quarter.Macie Frueh had 15 points, and Andie Zuelke added 10 points and 12 rebounds for Stratford (11-4, 4-3 Marawood South).Northland Lutheran made just five field goals in the game and falls to 4-9 and 0-6 in the conference.Stratford's next game is Tuesday at home against Wausau Newman Catholic.(Hub City Times Sports Reporter Paul Lecker is also the publisher of MarshfieldAreaSports.com.)Tigers 50, Wildcats 21Stratford 11 12 13 14 – 50Northland Lutheran 4 4 6 7 – 21STRATFORD (50): Sammy Griesbach 1-4 2-2 3, Macie Frueh 5-20 5-6 15, Brittany Bredemann 2-5 0-0 4, Tianna Hughes 3-6 1-2 7, Savannah Schillinger 2-12 0-0 4, Emily Manecke 0-0 0-0 0, Casey Kolbeck 2-6 2-2 6, Marissa Cepress 0-0 0-0 0, Andie Zuelke 4-9 2-4 10, Olivia Burrows 0-0 0-0 0, Kaylee Hollatz 0-0 0-0 0. FG: 19-62. FT: 12-16. 3-pointers: 0-16 (Griesbach 0-1, Frueh 0-7, Schillinger 0-8). Rebounds: 31 (Zuelke 12). Assists: 12 (Schillinger 3). Fouls: 18. Fouled out: Frueh. Record: 11-4, 4-3 Marawood South.NORTHLAND LUTHERAN (21): Cierra Mahnke 0 0-0 0, Rebekah Edelburg 3 5-5 11, Ashley Colby 0 0-1 0, Hannah Kloehn 0 5-6 5, Alissa Mahnke 0 0-0 0, Mesa Hoag 0 1-3 1, Taylor Fenske 0 0-0 0, Sidney Moore 0 0-0 0, Halley Engelbrecht 0 0-1 0, Erin Gost 0 0-0 0, Melissa Neumann 2 0-3 4. FG: 5. FT: 11-19. 3-pointers: none. Fouls: 17. Fouled out: Kloehn. Record: 4-9, 0-6 Marawood South.
President Jacob Zuma opened the NationalNursing Summit taking place at theSandton Convention Centre from 5 to 7April by encouraging nurses to worktowards making the profession a nobleone again. (Image: Nosimilo Ramela) MEDIA CONTACTS • Fidel Radebe Department of Health +27 12 395 8493 RELATED ARTICLES • Zuma: 2011 the year of job creation • African TB nurses lauded • Better pay for SA's TB nurses • Rural health get R9m boostNosimilo RamelaPresident Jacob Zuma opened the 2011 National Nursing Summit taking place at the Sandton Convention Centre from 5 to 7 April, by calling on nurses to go back to the basic values of nursing – caring and consideration for patients and respect for the profession.Speaking at the start of the summit, Zuma said the nursing profession needed to go back to being a noble profession.For people who are ill or hospitalized, the nurse is the first person they meet. They are the patient's key source of information, comfort, assurance and the delivery of treatment, making them a critical part of the South African health system.Over the years, South Africans have complained that nurses have become rude and intolerant towards patients. Zuma cautioned nurses that they odd to be professional at all times and treat patients with respect. "At times public servants think they are doing the public a favour, but they are not, they are providing services that citizens are entitled to."He said the summit was a critical event as there was a need to re-define the responsibility of nurses in the new society. "It is a moment of discarding practices that do not work and embracing new methods and ways of doing things that will define the role of a nurse in a free and democratic South Africa."The theme of the summit is "reconstruction and revitalising the nursing profession for a long and healthy life for all South Africans". The event is attended by managers, students, and representatives of the nursing and midwifery professions from all provinces in the country.Topics that the healthcare workers will be dealing with during the summit include nursing education and training; leadership, governance, policy and legislation; ethical and value systems of nursing; role of the nurse in the improvement of health outcomes; and regulatory framework in nursing education and training.Zuma emphasised the importance of addressing these issues during the summit. He said the government had national priorities they had committed to and the health sector particularly the nurses were a pivotal part of fulfilling these commitments.He said the government wanted to reduce child and maternal deaths, increase infant mortality rate, combat HIV/Aids and tuberculosis, increase the life expectancy, and strengthen the effectiveness of the health system. "Nurses are central to the achievement of these goals, given the role they play in the health system. You are the backbone of our hospitals and the clinics and the engine of our health care system."Solutions by nurses themselvesIn his address minister of health, Dr Aaron Motsoaledi asked delegates to use the opportunity presented by the summit to look at the challenges and problems facing the profession and come up with solutions. "We believe in solutions by nurses themselves," he said. "No judge can define what a nurse is, what they should do, and what they need. You must do it here yourselves. We are here to correct that which we have done wrong. We must be honest and fix what we have done wrong."Motsoaledi said a lot had gone wrong in the country's health system and nursing profession, which needed to change. "You and me are going to fight this. We are here to resolve the many issues the nursing sector have and need dealing with and defining, that is why we had this summit." The minister to reminded the health workers of their position in society. "You are not nurses for your own sake but because the country needs health services." He encouraged nurses to find the passion for their profession again, and remember why they joined the health sector."It takes a special kind of person with a certain kind of heart to be a nurse. I know there are challenges and at times, you find it hard to even smile, but when a person presents themselves at a clinic or hospital dont treat them as a biological entity. They are someone's mother, brother, sister, mentor or breadwinner – treat them with compassion."
Cass Sunstein, the Obama Administration's choice to head a powerful White House office overseeing all federal regulations, hasn't been confirmed yet, but he's already making his presence felt. His fingerprints are all over two recent presidential directives that lay the groundwork for the most far-reaching revision of regulatory policy in 15 years.One document, a "presidential memorandum" that was published in the Federal Register yesterday, orders the White House Office of Management and Budget (OMB) to come up with new guidelines for reviewing all proposed government regulations, which cover everything from air-pollution rules to exposure limits on toxic materials in the workplace. The new policy, if approved, would replace an executive order that has been in effect since the early days of the Clinton Administration.In his memorandum, President Barack Obama called on OMB to "offer suggestions on the role of cost-benefit analysis" and to "identify the best tools for achieving public goals through the regulatory process." He listed some of those newfangled tools: warnings, disclosure requirements, public education, and economic incentives.Sign up for our daily newsletterGet more great content like this delivered right to you!Country *AfghanistanAland IslandsAlbaniaAlgeriaAndorraAngolaAnguillaAntarcticaAntigua and BarbudaArgentinaArmeniaArubaAustraliaAustriaAzerbaijanBahamasBahrainBangladeshBarbadosBelarusBelgiumBelizeBeninBermudaBhutanBolivia, Plurinational State ofBonaire, Sint Eustatius and SabaBosnia and HerzegovinaBotswanaBouvet IslandBrazilBritish Indian Ocean TerritoryBrunei DarussalamBulgariaBurkina FasoBurundiCambodiaCameroonCanadaCape VerdeCayman IslandsCentral African RepublicChadChileChinaChristmas IslandCocos (Keeling) IslandsColombiaComorosCongoCongo, The Democratic Republic of theCook IslandsCosta RicaCote D'IvoireCroatiaCubaCuraçaoCyprusCzech RepublicDenmarkDjiboutiDominicaDominican RepublicEcuadorEgyptEl SalvadorEquatorial GuineaEritreaEstoniaEthiopiaFalkland Islands (Malvinas)Faroe IslandsFijiFinlandFranceFrench GuianaFrench PolynesiaFrench Southern TerritoriesGabonGambiaGeorgiaGermanyGhanaGibraltarGreeceGreenlandGrenadaGuadeloupeGuatemalaGuernseyGuineaGuinea-BissauGuyanaHaitiHeard Island and Mcdonald IslandsHoly See (Vatican City State)HondurasHong KongHungaryIcelandIndiaIndonesiaIran, Islamic Republic ofIraqIrelandIsle of ManIsraelItalyJamaicaJapanJerseyJordanKazakhstanKenyaKiribatiKorea, Democratic People's Republic ofKorea, Republic ofKuwaitKyrgyzstanLao People's Democratic RepublicLatviaLebanonLesothoLiberiaLibyan Arab JamahiriyaLiechtensteinLithuaniaLuxembourgMacaoMacedonia, The Former Yugoslav Republic ofMadagascarMalawiMalaysiaMaldivesMaliMaltaMartiniqueMauritaniaMauritiusMayotteMexicoMoldova, Republic ofMonacoMongoliaMontenegroMontserratMoroccoMozambiqueMyanmarNamibiaNauruNepalNetherlandsNew CaledoniaNew ZealandNicaraguaNigerNigeriaNiueNorfolk IslandNorwayOmanPakistanPalestinianPanamaPapua New GuineaParaguayPeruPhilippinesPitcairnPolandPortugalQatarReunionRomaniaRussian FederationRWANDASaint Barthélemy Saint Helena, Ascension and Tristan da CunhaSaint Kitts and NevisSaint LuciaSaint Martin (French part)Saint Pierre and MiquelonSaint Vincent and the GrenadinesSamoaSan MarinoSao Tome and PrincipeSaudi ArabiaSenegalSerbiaSeychellesSierra LeoneSingaporeSint Maarten (Dutch part)SlovakiaSloveniaSolomon IslandsSomaliaSouth AfricaSouth Georgia and the South Sandwich IslandsSouth SudanSpainSri LankaSudanSurinameSvalbard and Jan MayenSwazilandSwedenSwitzerlandSyrian Arab RepublicTaiwanTajikistanTanzania, United Republic ofThailandTimor-LesteTogoTokelauTongaTrinidad and TobagoTunisiaTurkeyTurkmenistanTurks and Caicos IslandsTuvaluUgandaUkraineUnited Arab EmiratesUnited KingdomUnited StatesUruguayUzbekistanVanuatuVenezuela, Bolivarian Republic ofVietnamVirgin Islands, BritishWallis and FutunaWestern SaharaYemenZambiaZimbabweI also wish to receive emails from AAAS/Science and Science advertisers, including information on products, services and special offers which may include but are not limited to news, careers information & upcoming events.Required fields are included by an asterisk(*)It's hardly a coincidence that this is exactly what Sunstein recommends in his latest book, Nudge: Improving Decisions About Health, Wealth, and Happiness, which he co-authored with University of Chicago economist Richard Thaler.In a second decision, published in the Federal Register today, Obama revoked a controversial Bush-era directive, Executive Order 13422, that was widely seen as imposing greater White House control over regulatory decisions. Michael Livermore, an expert on regulatory policy at New York University's School of Law, says revoking that executive order carried an important symbolic message: "Whatever you thought you knew about regulatory policy—things are going to be different."
ROME—The Italian government has scrapped plans to build a particle accelerator known as SuperB in the outskirts of Rome after a new study calculated its total cost to be about €1 billion—some €350 million more than previously estimated. SuperB was to have been built on the campus of the University of Rome Tor Vergata to the south of the Italian capital by an international collaboration of scientists. It was to have consisted of two 1.2-kilometer-circumference rings that would have accelerated beams of electrons and positrons. Collisions between the beams would have allowed the study of extremely rare phenomena in the decay of B mesons and other exotic particles. That could help explain why the universe seems to be so dominated by matter, as opposed to antimatter. Some physicists were skeptical that cash-strapped Italy could afford to pay for such a machine. The Italian government said that it would provide €250 million of the €650 million budget, while other countries, including France and Russia, said they might pay a share of the costs. The United States, meanwhile, agreed to donate parts from its decommissioned PEP-II/BaBar "B-factory" at the SLAC laboratory in California for use in SuperB. But it was not clear where the roughly €200 million for the first 10 years of operation would have come from. Sign up for our daily newsletterGet more great content like this delivered right to you!Country *AfghanistanAland IslandsAlbaniaAlgeriaAndorraAngolaAnguillaAntarcticaAntigua and BarbudaArgentinaArmeniaArubaAustraliaAustriaAzerbaijanBahamasBahrainBangladeshBarbadosBelarusBelgiumBelizeBeninBermudaBhutanBolivia, Plurinational State ofBonaire, Sint Eustatius and SabaBosnia and HerzegovinaBotswanaBouvet IslandBrazilBritish Indian Ocean TerritoryBrunei DarussalamBulgariaBurkina FasoBurundiCambodiaCameroonCanadaCape VerdeCayman IslandsCentral African RepublicChadChileChinaChristmas IslandCocos (Keeling) IslandsColombiaComorosCongoCongo, The Democratic Republic of theCook IslandsCosta RicaCote D'IvoireCroatiaCubaCuraçaoCyprusCzech RepublicDenmarkDjiboutiDominicaDominican RepublicEcuadorEgyptEl SalvadorEquatorial GuineaEritreaEstoniaEthiopiaFalkland Islands (Malvinas)Faroe IslandsFijiFinlandFranceFrench GuianaFrench PolynesiaFrench Southern TerritoriesGabonGambiaGeorgiaGermanyGhanaGibraltarGreeceGreenlandGrenadaGuadeloupeGuatemalaGuernseyGuineaGuinea-BissauGuyanaHaitiHeard Island and Mcdonald IslandsHoly See (Vatican City State)HondurasHong KongHungaryIcelandIndiaIndonesiaIran, Islamic Republic ofIraqIrelandIsle of ManIsraelItalyJamaicaJapanJerseyJordanKazakhstanKenyaKiribatiKorea, Democratic People's Republic ofKorea, Republic ofKuwaitKyrgyzstanLao People's Democratic RepublicLatviaLebanonLesothoLiberiaLibyan Arab JamahiriyaLiechtensteinLithuaniaLuxembourgMacaoMacedonia, The Former Yugoslav Republic ofMadagascarMalawiMalaysiaMaldivesMaliMaltaMartiniqueMauritaniaMauritiusMayotteMexicoMoldova, Republic ofMonacoMongoliaMontenegroMontserratMoroccoMozambiqueMyanmarNamibiaNauruNepalNetherlandsNew CaledoniaNew ZealandNicaraguaNigerNigeriaNiueNorfolk IslandNorwayOmanPakistanPalestinianPanamaPapua New GuineaParaguayPeruPhilippinesPitcairnPolandPortugalQatarReunionRomaniaRussian FederationRWANDASaint Barthélemy Saint Helena, Ascension and Tristan da CunhaSaint Kitts and NevisSaint LuciaSaint Martin (French part)Saint Pierre and MiquelonSaint Vincent and the GrenadinesSamoaSan MarinoSao Tome and PrincipeSaudi ArabiaSenegalSerbiaSeychellesSierra LeoneSingaporeSint Maarten (Dutch part)SlovakiaSloveniaSolomon IslandsSomaliaSouth AfricaSouth Georgia and the South Sandwich IslandsSouth SudanSpainSri LankaSudanSurinameSvalbard and Jan MayenSwazilandSwedenSwitzerlandSyrian Arab RepublicTaiwanTajikistanTanzania, United Republic ofThailandTimor-LesteTogoTokelauTongaTrinidad and TobagoTunisiaTurkeyTurkmenistanTurks and Caicos IslandsTuvaluUgandaUkraineUnited Arab EmiratesUnited KingdomUnited StatesUruguayUzbekistanVanuatuVenezuela, Bolivarian Republic ofVietnamVirgin Islands, BritishWallis and FutunaWestern SaharaYemenZambiaZimbabweI also wish to receive emails from AAAS/Science and Science advertisers, including information on products, services and special offers which may include but are not limited to news, careers information & upcoming events.Required fields are included by an asterisk(*) The latest cost estimate of about €1 billion now appears to have sunk the project. The estimate came in a report prepared by an international commission chaired by Gabriele Fioni of the French atomic and alternative energy agency CEA, drawing on a detailed analysis carried out by the SuperB collaboration itself. According to a press release from Italy's National Institute of Nuclear Physics (INFN), research minister Francesco Profumo studied the commission's report on Tuesday and discussed its contents with the heads of the INFN and Cabibbolab, the organization set up to house the collider. "The minister pointed out that the importance and the quality of the programme were not in dispute," the press release continued, "but that the country's economic conditions and the limits set by the National Research Plan were incompatible with the estimated costs of the project." Collaboration member David Hitlin of the California Institute of Technology in Pasadena explains that the higher price tag was due in part to the fact that the site for the accelerator complex was changed after the original cost estimate had been made—from INFN's laboratory in Frascati, also south of Rome, which would have had power, cooling water, and other necessary utilities already partly in place, to Tor Vergata, which did not. Hitlin also says that there had been an underestimation of the costs needed to make both the tunnels' foundations and the accelerator itself stable enough to ensure the collision of very narrow beams—which were required to generate high-intensity collisions while keeping power consumption within reasonable limits. In addition, he says, some of the magnets from the old American machine were found to be not well-suited to the Italian design, so extra funding would have been needed to build new magnets. "I am extremely disappointed," Hitlin says. "SuperB's science is first class and would allow unique studies that may now never get done." He argues that the collider would have had a number of important advantages over a rival Japanese machine, an upgraded version of the Belle experiment at the KEK laboratory, including a higher collision rate and a linearly polarized electron beam that would have allowed novel studies of the fundamental particles known as tau leptons. The decision to ditch SuperB had a silver lining for physicists, however. The Italian government invited INFN to pitch proposals for new projects that could be funded with the €250 million originally promised for SuperB. Hitlin says that "the obvious step is to study a smaller, cheaper ring at a lower energy" that would be suited to studying the decay of tau leptons and particles containing so-called charm quarks, rather than the heavier B mesons. Such a facility might be of interest to some scientists in the current collaboration, Hitlin says, but not to others. INFN has set up two committees to evaluate the feasibility of this lower-energy machine—one to analyze its scientific potential and the other to analyze its costs—and a third committee to study alternative facilities. These evaluations are due to be completed by Christmas. INFN President Fernando Ferroni tells ScienceInsider that he hopes "the countries that have already declared themselves partners of the SuperB project and possibly others" will take part in building the new machine.


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A college student in Florida got an apology letter from his ex-girlfriend and his reaction went viral. Nick Lutz decided to get a red marker out and critique the four-page note. He gave her a 61 out of 100. That is a D-.
Radio 95.1 · Home of Brother Wease, DiTullio & Moran, and The Big Show with Earl David Reed, Megan and Pat

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Classic Wool Duvet - Medium
product code: 0102CLASSMEDIUM2020
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Our Classic medium weight duvet is the perfect introduction to the sleep benefits of wool. Temperature-regulating and naturally hypoallergenic, with our wool filled duvets you're guaranteed a peaceful night's sleep at an affordable price point.
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Trouble nodding off? Tired of being kept up by pesky allergy flare ups? This Classic wool duvet is the secret to a natural, healthy night's sleep. Because every Woolroom duvet is made from 100% British wool, you know that it is naturally hypoallergenic and lets your body breathe as you sleep – all without man-made barriers.
Feel the Difference with a Classic Wool DuvetThe Woolroom Difference? All-natural, healthier sleep. And with our Classic medium tog duvet, you'll notice a difference immediately. Unlike other common duvet fillings like feather, down and synthetics, all of our wool duvets are designed to keep you sleeping for longer – at the perfect temperature. Complete with hand-picked British wool fillings, this medium weight duvet effectively manages heat and moisture to reduce humidity throughout the night.
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Beautiful British Wool Medium DuvetsOur Classic medium weight duvet is hand-crafted using British wool which is graded by British wool merchants – all with centuries of experience in selecting the finest quality fibres. And because the climate in the United Kingdom ensures a class of wool that is unrivalled in the world for sleep products, you can guarantee that our wool duvets are of the highest quality.
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- Designed and developed in the UK. Assembled in the EU.
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Billy's PAC 3 Tier 1 Application1+ i really like the look of it and with a better looking commander nova can really turn it up
Star wars rpok i have one thing to say if minging is using a gun that i didnt hear when people said not to use first problem, I DIDNT hear you second why give it to me then?
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Star wars rpSteam Name: [IG] NettLaw Age: 14-15 Steam ID: STEAM_0:1:33313882 In Game Name and Rank: pvt [NV-04] NettLaw Time Played (Server Time):over 24 hours Have you had any warns and/or bans (If so state them): one, its was for missclicking my kill bind witch is k and my salute bind is j Have you been event master on any other servers (If so state them): i was mod on one server but unfortunately its shut down to low population Why are you applying to be an event master: we need more events and i think with a creative mind like mine we could really do something What can you bring to the event master team: welll i can bring a new look or perspective to the team What can you do to make events more enjoyable and innovative: Do you have basic knowledge of ulx commands: yes i have worked with them before Anything else you would like to add: i am still learning but with the help of the staff team i can grow to be more then just a event master Please fill out both event ideas and provide much detail as possible Event Idea 1: so there is a slave outpost on tatooine we have to secure the hostage but our ship gets shot down we must find a way to call in more ships but our comms have been jammed, we scourage the outpost and find a droid Event Idea 2: the droids left on abandoned cis outpost have been sent a emergency beacon and all the droids activated, a mass amount of energy is pulsing from the outpost but the comms have been interfered with the signal , you find 4 jedi light sabers and a broken bode that looks like the suit general grievous used to wear


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Entertainment News
Dr. Jose Chameleone, Weasel and Pallaso land in Rwanda ahead of DJ Pious' album launch
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By Nila Faisal
Singing brothers Jose Chameleone Pallaso and Weasel have landed in Rwanda ahead of DJ Pious's album launch on Friday.
The singing brothers touched soil in the East African country on Wednesday where they are scheduled to perform at the Ugandan-born Rwandese singer's "IWACU" album launch.
In a video posted on Chameleone's Facebook page, they expressed their thrill to be in Rwanda and said they have brought lots of sweet love with them.
DJ Pious who collaborated with Chameleone on a track called "Agatako" will officially launch the 17-track album on Friday August 3, at Camp Kigali and Saturday 4, at Musanze Stadium.
Entertainment News
John Blaq reveals why he will never sing political songs
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By BigEyeUg Writer
Ugandan entertainer and musician Kasadha John also known as John Blaq has come out to reveal that he cannot and will never create a song for any politician or any political party.
Speaking in an interview, the golden boy from the East said that he would never let his reputation be soiled by self-seeking individuals particularly politicians. Asked why he took this direction, the Mama Bulamu singer had this to say.
"I want to clearly state that I cannot sing for any political party or politician. All these things usually come with a lot of challenges and disagreements due to the opinions different individuals hold. I instead prefer staying neutral and giving my fans entertainment through heart to heart songs " the singer said.
The "Tukonnectinge" hitmaker also explained further that he believes he is surviving because of the support he gets from his fans and therefore cannot trade his talent for the selfish politicians.
John Blaq recently released his latest song dubbed Ngamba. This came after he fell out with his management..
Celebrity Gossip
Famous Gagamel singer very ill
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By BigEyeUg Writer
Gagamel singer, Allan Masengere better known as Shortkut is battling for his life in hospital.
In a Facebook post, Bebe Cool who is the CEO Gagamel revealed that Shortkut has been in hospital for a month now and is seriously sick.
"My son Allan Masengere aka Shortkut, a young talent in the music industry of Uganda has been bed ridden for nearly a month now fighting for his life. Friends and family, your prayers are welcome. Get well in the name of Allah," wrote Bebe Cool.
Shortkut is a very young artiste under Gagamel Entertainment and has done songs like Big Mouth though he has not found his breakthrough.
We wish him a quick recovery!
Celebrity Gossip
Felicita Di Superstar's family in eviction scare over rent arrears
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By BigEyeUg Writer
Female rapper Felista Di Superstar and her father are reportedly facing eviction over rent arrears.
Early this week, reports came in indicating that the "Nawambye" singer and her father received an ultimatum from their land lord that they should pay their arrears in two weeks or else they will be evicted.
Speaking in an interview, Felista's landlord said that his patience is running thin after the pair defaulting on rent for 8 months. He stressed that he had earlier advised them to move to a cheaper house but they didn't listen.
Felista's family rents a 200k house. Their debt sums up to 1.6 Million. They have tried explaining to their landlord that everyone is going through some financial distress but this has fallen on deaf ears.
The youngster is a young female rapper being raised by a single father who supports her talent. She goes to Kampala Parents School.
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Video: Zahara Totto beaten by hubby, Big Papa before bitter split
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By BigEyeUg Team
The sudden breakup between NBS TV's Zahara Totto and her boyfriend, Don Solomon Ugwu alias Big Papa (Oga) continue to surface with more secrets spilled regarding their one-year old relationship.
Issues seem not light at all as we may have earlier anticipated, for the motor-mouthed media personality after another video storming social media today showing a bitter fight between Zahara and now ex-boyfriend, Don Solomon.
In the video, the mother of four is seen ridiculously nagging and clinging to her boyfriend as she begs him not call it quits in their relationship.
She is later thumped to the ground continuously by Big Papa giving her no chance again in his life.
The fight is most-likely to have been a continuation of the leaked audio where Oga was hectically trying to conclude his affair with the 'Uncut' show host.
Watch video here;
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December 31, 2009
- Hon. R. George Economy gives the gift of adoption to eight families on Christmas Adoption Day
- Lansing Teen Court uses peer justice to rehabilitate juvenile offenders
- Spend those gift cards FAST! --A retail store's bankruptcy may leave you with an empty stocking
- Lansing Attorney speaks about Jury Trials and the Media at Cooley on January 14th
headlines National
- Utah embraces nonlawyer ownership of law firms as part of broad reforms
- Ohio associate with a love of writing wins ABA Journal's 2020 Ross essay contest for legal fiction
- Harvey Weinstein Hearing on Extradition to Face California Sex Crime Charges Moved to December
- Lessons from the Insider Trading Prohibition Act After Its Likely Demise In the Senate
- Empirical SCOTUS: If Ginsburg were to leave the court, her departure might resemble Thurgood Marshall's
- Friday round-up


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Brand: Xezo
Color: multi-colored
- Handcrafted with long panels of natural New Zealand Iridescent white Mother-of-Pearl (barrel). Some distinctions in the texture of Mother-of-Pearl material may occur.
- Medium point fountain nib. Fittings are made of solid brass and 18 Karat gold and platinum plated. The cap is made of solid brass and plated in pure .999 Platinum.
- In order to produce the silky smooth finish and the richness of the colors, the barrels are manually polished in several stages. The Iridescent white Mother-of-Pearl panels range from white/golden.
- Supplied with gift box, (4) ink cartridges, cloth, ink converter, certificate, 3-year card.
- Each pen is individually numbered. Screw-on cap with handcrafted curved clip. Weighty, balanced body. Diameter: 13 mm, length posted: 172 mm, length capped: 147 mm. Weight: 2.1 oz. / 59.53 grams.
Package Dimensions: 7.5 x 3.2 x 1.6 inches
Publisher: Xezo
Release Date: 2017-10-20
Warranty: 3
Details: The Maestro Platinum and White Mother of Pearl series of handcrafted fountain pens are produced in a limited edition. Each pen is individually numbered. The design concept was inspired by Neoclassicism and was based on the principles of simplicity and symmetry, which were observed in the arts of Rome and Ancient Greece. As result lighter color palettes were used for finishes. The slightly curved lower barrel is made with long panels of natural New Zealand white mother of pearl and is adorned with Greek key bands. The production of the lower barrel from natural white mother of pearl is art in itself. In order to produce the silky smooth finish and the richness of the mother of pearl colors, the barrels are manually polished in several stages. This process takes around 2 weeks to complete, in order to bring out the unique colors of the material. All metal fittings are solid brass with 18-karat gold and platinum plating. The German-made MEDIUM size nib is fitted with an iridium point. The screw -on cap is produced from solid brass and plated in pure Platinum with mirror finish. The hand-crafted and polished clip is produced in a wave-like shape. All metal parts have several layers of clear lacquers applied on top of the original finish for protection. The end result of these elaborate efforts, is an object of art polished to perfection, and adorned with shimering, iridescent natural mother of pearl, a Platinum finish, and 18-karat gold accents. No two pens are exactly alike. The panels of white mother of pearl range from white to golden with red, green or blue overtones. The white mother of pearl is a natural material; therefore, some distinctions in the texture of this material may occur. These distinctions and variations in texture are not defects, but rather natural attributes which add beauty and uniqueness to each of these pens.


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Episode 142: Let's Play Attraction Roulette
May 20th, 2020 by Disney Dads Podcast
It's time for a brand new game involving the Walt Disney World Attractions. Come join the Disney Dads for the first ever game of Attraction Roulette, where you control the episode. A fun new game to play with the family were we re-imagine attractions based on your choices. Bring your imagination and have some fun with us on this episode of the Disney Dads Podcast.
BECOME A PATRON MEMBER AND GET ACCESS TO THE PRIVATE FACEBOOK GROUP AND WEEKLY EXTRA CONTENT. If you would like to support all of the Disney Dads shows and help us bring you more content commercial free, click the link https://patron.podbean.com/DisneyDadsPodcast We appreciate all our Patron Family for all of your support.
You can find all of our shows at www.disneydadspodcast.com
Contact Away With Me Travel, the official travel agency of the Disney Dads Podcast, for all your travel needs. email@example.com


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昼堀琵概弖鷹匂椎戦和 廣過
逼戴 08-07
Ram Dass smiled mysteriously.
仍怕冷 08-07
"At any rate," answered Mr. Barrow, quite snappishly, "it would have been much better if there never had been any."
鱗拐墳 08-07
"If I lived in a castle," she argued, "and Ermengarde was the lady of another castle, and came to see me, with knights and squires and vassals riding with her, and pennons flying, when I heard the clarions sounding outside the drawbridge I should go down to receive her, and I should spread feasts in the banquet hall and call in minstrels to sing and play and relate romances. When she comes into the attic I can't spread feasts, but I can tell stories, and not let her know disagreeable things. I dare say poor chatelaines had to do that in time of famine, when their lands had been pillaged." She was a proud, brave little chatelaine, and dispensed generously the one hospitality she could offer--the dreams she dreamed-- the visions she saw--the imaginings which were her joy and comfort.
仔事 08-07
"I can't pretend anything else--while I am awake," she said. "There wouldn't be any use in trying. If I go to sleep, perhaps a dream will come and pretend for me."
嵐嶷表 08-06
{Sara laid her purchases on the table.
安櫛潮蒙 08-05
"I don't know, I'm sure; and I don't care if it's something more about that everlasting Sara."}
嫖認戦 08-05
For a moment the thin, pale little face twitched, but Sara again said nothing.
娃猟,気鶴櫛 08-05
On this very afternoon, while Sara was out, a strange thing happened in the attic. Only Melchisedec saw and heard it; and he was so much alarmed and mystified that he scuttled back to his hole and hid there, and really quaked and trembled as he peeped out furtively and with great caution to watch what was going on.
釘練苧 08-04
Lessons for the day were over, and they were sitting before the schoolroom fire, enjoying the time they liked best. It was the time when Miss Minchin and Miss Amelia were taking their tea in the sitting room sacred to themselves. At this hour a great deal of talking was done, and a great many secrets changed hands, particularly if the younger pupils behaved themselves well, and did not squabble or run about noisily, which it must be confessed they usually did. When they made an uproar the older girls usually interfered with scolding and shakes. They were expected to keep order, and there was danger that if they did not, Miss Minchin or Miss Amelia would appear and put an end to festivities. Even as Lavinia spoke the door opened and Sara entered with Lottie, whose habit was to trot everywhere after her like a little dog.
伶針首 08-02
{Ram Dass thanked Sara profoundly. She had seen that his quick native eyes had taken in at a glance all the bare shabbiness of the room, but he spoke to her as if he were speaking to the little daughter of a rajah, and pretended that he observed nothing. He did not presume to remain more than a few moments after he had caught the monkey, and those moments were given to further deep and grateful obeisance to her in return for her indulgence. This little evil one, he said, stroking the monkey, was, in truth, not so evil as he seemed, and his master, who was ill, was sometimes amused by him. He would have been made sad if his favorite had run away and been lost. Then he salaamed once more and got through the skylight and across the slates again with as much agility as the monkey himself had displayed.
略廉 08-02
He looked so queer and so like a gray-whiskered dwarf or gnome that Sara was rather fascinated. He looked at her with his bright eyes, as if he were asking a question. He was evidently so doubtful that one of the child's queer thoughts came into her mind.


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COVID-19 Updates
To learn more about closures and our response to COVID-19, and for updates on District operations, visit westvancouver.ca/covid.
Proposed Centre for Art, Architecture + Design
West Vancouver is fortunate to have a talented and knowledgeable group of committed citizens who have dedicated themselves to the accessibility of art, architecture and design in our community and beyond.
West Vancouver Council has considered a proposed Centre for Art, Architecture + Design. According to Council direction, any decisions on arts and culture programs or facilities supported by the District, including the concept of a new Centre for Art, Architecture + Design, will be determined based on a cultural strategy to be developed by staff and approved by Council.
Council encourages all citizens to provide input into the development of a cultural strategy.


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Site-selective nuclear magnetic relaxation time in a superconducting vortex state
The temperature and field dependences of the site-selective nuclear spin relaxation time around vortices are studied comparatively both for -wave and -wave superconductors, based on the microscopic Bogoliubov-de Gennes theory. Reflecting low energy electronic excitations associated with the vortex core, the site selective temperature dependences deviate from those of the zero-field case, and becomes faster with approaching the vortex core. In the core region, has a new peak below the superconducting transition temperature . The field dependence of the overall behaviors for -wave and -wave superconductors is investigated and analyzed in terms of the local density of states. The NMR study by the resonance field dependence may be a new method to probe the spatial resolved vortex core structure in various conventional and unconventional superconductors.
pacs:PACS numbers: 74.60.Ec, 74.25.Jb, 76.60.Pc
I Introduction
Much attention has been focused on vortex matter physics both of high cuprates and of conventional superconductors.[1, 2] There are several experimental methods to extract the vortex properties, ranging from thermodynamic measurements such as specific heat to various transport experiments such as thermalconductivity under field. We can divide them into two categories: One of the methods such as scanning tunneling microscopy (STM) probes the electronic structure of the vortex, namely, low-lying excitations around a core. The other method probes the magnetic field distribution in the vortex state, examplified by small angle neutron diffraction, or muon spin resonance (SR) experiments. These two methods are complimentary to each other. We definitely need to increase the list of the method and further refine the theoretical analysis of experimental data to extract useful information about the vortex properties.
Among various experimental methods mentioned above the nuclear magnetic resonance (NMR) experiment [3] is unique because it provides us two kinds of information. Namely, the nuclear resonance spectrum reflects the magnetic field distribution and the longitudinal relaxation time probes electronic excitations in the vortex state through its -dependence. The NMR experiment has been playing a vital role in distinguishing between -wave and -wave pairing symmetries in this respect, i.e. via -dependence of . The power law () behavior is taken as definitive evidence for a line (point) node in the gap structure of unconventional superconductors. This conclusion comes from a simple power counting of the density of states (DOS) at the Fermi level as a function of the energy : () for a line (point) node in a bulk superconductor at zero field. However, actual NMR experiments are performed under applied fields in a mixed state. The contribution of the vortex core is inevitably included in their data. [4, 5] Usually, is measured by selecting the resonance frequency at a most intensive signal in the resonance spectrum. However, the resonance spectrum reflects information of internal magnetic field distribution of the vortex lattice [6, 7] as mentioned above. Thus, by choosing the resonance field, we can specify the spatial position to detect the NMR signal. The signal at the maximum (minimum) cutoff comes from the vortex center (the furthest) site. The signal at the logarithmic singularity of the resonance field comes from the saddle points in the field distribution. By studying the position dependence of around vortices through the resonance frequency dependence, we can clarify the detail of the vortex contribution in the NMR experiments. It helps us in the analysis of the standardized procedure extracting the gap symmetry.
Low-lying excitation spectra around a vortex are not fully understood both experimentally and theoretically. The related problems are as follows. In the -wave superconductors, the effect of the quantized energy level will appear in the quasi-particle state. [8, 9, 10, 11] In the -wave case, the low energy state around the vortex core extends outside the core due to the node of the superconducting gap, and shows the -like DOS relation ( is an applied field). [12, 13, 14, 18, 16] We also need to estimate the quasi-particle transfer between vortices (such as the path of the transfer and its amplitude) to study the dHvA oscillation or transport phenomena in the mixed state. [13, 17] The excitation around the core plays a fundamental role in determining physical properties of superconductors. Several recent theories based on the microscopic Bogoliubov-de Gennes (BdG) equation investigate electromagnetic properties of mixed state [18, 19] in connection with the low-lying vortex excitations. [8, 18, 16, 20, 21, 22] In high cuprates, the existence or non-existence of localized core excitations in -wave pairing case is actively debated. Theoretical study suggested the zero-energy peak in the -wave case, instead of the quantized energy level in the -wave case. [14, 18, 16] On the contrary, the STM experiments reported quantized energy level with large gap in YBCO (Ref. 23) and also in BSCCO (Ref. 24), and no peak within the superconducting gap in BSCCO (Ref. 25). A part of reasons of the debate is due to limited experimental methods which directly probe the spatially resolved core structure. So far, the STM was only a method to detect it as mentioned before. A large number of thermodynamic or transport measurements probe spatially averaged quantities.
Here we propose a novel spatially resolved means, that is, vortex imaging to see electronic excitations associated with a vortex core by using NMR, and demonstrate how the -dependence of is site-sensitive. Through this analysis, we are able to produce a spatial image of the low-lying excitation spectrum around a core. A similar idea of the NMR imaging is actually tested experimentally in high materials by Slichter's group [26, 27] and theoretically proposed,[28, 29] and also in spin-Peierls system CuGeO by Horvatić. [30]
In order to analyze the NMR data and propose suitable NMR experiments, we perform a model calculation of to demonstrate how careful NMR experiment is valuable. The other purpose of this paper is to warn a pitfall when obtaining the conclusion of the nodal gap structure from the -dependence of by performing the saddle point NMR. The position dependence of the NMR signal in the -wave case was theoretically studied under some approximations. [9, 31] Here, we calculate it microscopically from the wave functions obtained by self-consistently solving the BdG equation for the extended Hubbard model in the - and -wave cases.
After giving the formulation of the problem in Sec. II, we show the results of basic vortex properties in this formulation in order to yield a coherent physical picture and to facilitate the later understanding of our results in Sec. III. In next section the -dependence of is analyzed both for s-wave and d-wave superconductors. The field-dependence of is calculated in Sec. V. The final section is devoted to conclusion and discussions.[32]
Ii Formulation
ii.1 Bogoliubov-de Gennes equation on lattice
The BdG theory and its equation are one of the most fundamental frameworks in the theory of superconductivity.[33] In principle, the solution of BdG equation should give all static properties of a type II superconductor under an applied field, which we concern. Here we consider the BdG equation defined on a lattice instead of continuum space. The latter approach is useful when the order parameter is described by the s-wave symmetry, but difficult to treat non-local higher angular momentum states such as -wave. In contrast the lattice BdG theory is relatively easy to treat such a case and suitable for treating the -wave and -wave cases on an equal footing.
In terms of the eigen-energy and the wave functions , at -site, the BdG equation for the extended Hubbard model defined on the two-dimensional square lattice is given by
and the on-site interaction , the chemical potential and the flux quantum . The transfer integral and the nearest neighbor (NN) interaction for the NN site pair and , and otherwise . The vector potential in the symmetric gauge. The self-consistent condition for the pair potential is
This BdG equation is self-consistently solved by following the numerical method of Wang and MacDonald.[18]
In the following we examine comparatively the -wave and -wave symmetry cases. The -wave pair potential is given by
The -wave pair potential is given by
We consider the square vortex lattice case where nearest neighbor vortex is located at the direction from the axis. This vortex lattice configuration is suggested for -wave superconductors, or -wave superconductors with fourfold symmetric Fermi surface. [13, 39, 40] The unit cell in our calculation is the square area of sites where two vortices are accommodated. Then, the magnetic field is determined as
where is the atomic lattice constant. For typical high T cuprates, corresponds to an order of 15 Tesla. We consider the area of unit cells. By introducing the quasi-momentum of the magnetic Bloch state,
we set
We solve Eq. (1) within a unit cell under the given . Then, is labeled by and the eigen-values obtained by this calculation within a unit cell.
ii.2 Boundary condition
We impose the periodic boundary condition given by the symmetry for the translation
with and being integers, and and are unit vectors of the vortex lattice, i.e.,
in the symmetric gauge when the vortex center is located at
The phase factor [41] in Eq. (8) is needed to satisfy the translational relation
ii.3 Thermal Green function
In order to calculate various physical quantities, we must construct the Green functions from , , defined as
with . After the Fourier transformation of as
the thermal Green functions with the Fermionic imaginary frequency are written as
The derivation of this form of the thermal Green functions is given in Appendix A.
ii.4 Local density of states
To understand the behavior of the position-dependent , we also consider the local density of states (LDOS) at . This is evaluated by using the thermal Green functions as
for the up-spin electron contributions, and
for the down-spin electron contributions. Then, the LDOS is given by
For finite temperatures, the -functions in eq. (26) are replaced by the derivative of the Fermi distribution function :
This finite temperature LDOS corresponds to the differential tunnel conductance of STM experiments.
ii.5 Nuclear relaxation time
We now evaluate the spin-spin correlation function .[31] Its derivation is given in Appendix B. We obtain the nuclear spin relaxation rate by using Eq. (40),
We consider the case by assuming that the nuclear relaxation event occurs locally such as in Cu-site of high cuprates. Then, the -dependent relaxation time is given by
In Eq. (28), we use to consider the discrete energy level of the finite size calculation. We typically use .
ii.6 Parameters used and site assignment
The following parameter values are chosen: The average electron density per site by adjusting appropriately the chemical potential value . We normalize all the energy scales by the transfer integral . For the -wave case and . The resulting order parameter at =0 and =0. For the -wave case and . Then . The vortex unit cell is shown in Fig.1, where the selective sites (V,A,B,C, and S-sites) to consider and are also indicated. The magnetic field is denoted by the unit cell size as . Thus as increases, itself decreases.
Iii Basic vortex properties
In order to facilitate the understanding of the -behaviors in the later section, we show some of the basic properties of vortex lattice. The following results coincide basically with those in the previous our own calculations either in quasi-classical theory for the vortex lattice of - and -wave cases, [13, 14, 34, 35, 36, 37] and in BdG for isolated vortex of the -wave case [10, 11] and also with the preceding work by Wang and MacDonald. [18]
iii.1 Order parameter profiles
The pair potential or the order parameter vanishes at the vortex center. exhibits the Friedel oscillations around the core both for the -wave and -wave cases whose period ( is the Fermi wave number). The amplitude of this quantum oscillation increases as the attractive interactions and become large because the quantum effects are enhanced when increases ( is the Fermi energy). These characteristics coincide with those in the -wave case in our previous study. [10]
As for the temperature dependence of the order parameter, the vortex core radius shrinks with decreasing by the Kramer-Pesch effect. [14, 38] We confirm it for the -wave case too. The shrinkage is saturated at a low temperature both in the - and -wave cases. There, the structure of and is almost independent of . This is a quantum-limit effect which occurs for . [10] We calculate the low temperature behavior of by using the saturated pair potential. At higher temperatures, we calculate by using the self-consistently obtained pair potential at each .
iii.2 Local density of states around a core
The LDOS is displayed as a function of the spatial position for the -wave case in Fig. 2 and for the -wave case in Fig. 3 at . The spectral evolutions in Fig. 2 are shown for two different paths; along the nearest neighbor (NN) direction [Fig. 2(a)] and the next nearest neighbor (NNN) direction [Fig. 2(b)]. The low-lying excitations at the core, which correspond to the prominent peak structure, are characterized by the angular momentum (see for details Ref.10). The higher and higher angular momentum states situated at the higher energy are activated successively when going outward, forming the characteristic spectral evolution in Fig. 2. The lowest excited state which is seen as the highest peak extends towards the NN direction rather than the NNN direction as indicated by arrows in Fig. 2(a).
The LDOS for the -wave case is shown in Fig. 3. Since there is no discretized bound state around the core in this case, only the broad resonance peak centered at is seen at the core, which evolves smoothly. At the farthest site the spectrum exhibits the known bulk behavior expected in the -wave superconductor, characterized by -linear behavior due to the line node. In contrast with the -wave case, there is no clear directional dependence in the spectral evolution in this scale (also see Fig. 6).
The spectral evolution in a high field is depicted for
the -wave case in Fig. 4.
The quantum oscillations due to the Landau band
quantization becomes evident at a high field.
We see rapid oscillations outside the main gap ()
and slow oscillations inside the main gap ().
Note that the split features around
at the V-site in Fig. 4 is not due
to the localized bound state formation.
In order to further facilitate the understanding of
the -dependence of the site-dependent behavior,
we look into the spectral evolutions
for some more details at where we calculate
in the next section.
The LDOS around the vortex for the -wave case is shown
in Fig. 5(a), and the -wave case is shown in
Fig. 5(b).
In at the vortex center (the V-site), the gap edge at
in the zero-field case (dotted line U) is smeared, and
low-energy peaks of the vortex core state appear.
In the -wave case, we see some peaks above the small gap
It is due to the quantization of the energy level in the -wave
In the -wave case, the core state shows zero-energy peak instead
of the split peaks in the -wave case. [18]
There is no small gap.
The weight of the low-energy states is decreased with going away from
the vortex center (VABC).
Far from the vortex, is reduced to the DOS of the
zero-field case.
But, small weight of the low-energy state extending from the vortex
core remains there.
It is noted that the weight of the low-energy state at the S-site is
larger than that of the B-site in the -wave case, while the S-site
is farther from the vortex center [see lines for the S- and B-sites
in Fig 5(a)].
It is due to the vortex lattice effect.
The quasi-particle transfer between vortices occurs along the line
connecting NN vortices (i.e., near the S-site).
This is also seen from Fig. 2(a) indicated by arrows.
To obtain another perspectives of the LDOS image in the -wave case we plot the spatial distribution of at in Fig. 6, which directly relates to the behavior as discussed later. Notice that everywhere . The LDOS is largest at the core site and extends towards the NN direction. This shows the characteristic quasi-particle trajectory in the wave case. The NMR experiment can image this low-energy excitation as is explained later. The detailed expositions of the quasi-particle trajectories in the -wave [14, 17] and -wave [35] are given previously.
iii.3 Field distribution in vortex state
In order to determine the one-to-one correspondence between the site and the magnetic field, we calculate the field distributions for the -wave and -wave cases. The magnetic field is evaluated via the current distribution through the Maxwell equation:
where the current is calculated as
for the -direction bond (, ) at the site .
Figures. 7(a) and (b) show the contour plots of the field distributions for one unit cell at . It is seen that for the s-wave case the contour plot exhibits rather square-like shape around the core, which is contrasted with a cylindrical shape in the d-wave case. Due to the inter-vortex interaction, the magnetic field around a vortex tends to extend to the NN vortex direction. Then, the field of the -wave case is modified to a square shape, reflecting the square vortex lattice shape. In the -wave case, the magnetic field tends to extend to axis and axis directions due to the gap node effect. [13, 34, 35] Then, the inter-vortex interaction effect and the gap node effect cancel each other, resulting in a cylindrical shape.
The internal field distributions as a function of the magnetic field, which correspond to the resonance frequency distribution in NMR experiments, are depicted in Fig. 8. We identify each site (A, B, C, S, and V) in the vortex lattice to these distributions. The one-to-one correspondence between the site position and resonance frequency can be used as a guide for site-selective NMR experiment: Namely, as shown in Figs. 8 (a) and (b), the NMR signal at the maximum cutoff of the resonance spectrum as a function of applied field or probe frequency comes from the vortex core at the V-site. With going away from the center (VABC), the resonance field is decreased. The signal at the minimum cutoff comes from the C-site. The logarithmic singularity of the resonance field comes from the saddle point of the field at the S-site. Thus it is possible to perform the site-selective measurement by tuning the resonance frequency.
Iv Temperature dependence of
iv.1 -wave case
We now consider the -dependence of at each site defined in Fig. 1, which reflects the LDOS discussed above. The -wave case is shown in Fig. 9. We plot vs. for each site in Fig. 9(a), and re-plot it as vs. in Fig. 9(b). We also calculate the zero-field case in our formulation. It is shown as line U in the figures. At the zero field, . Then, the slope of the vs. plot gives the superconducting gap , as the line U in Fig. 9(b). In the presence of vortices, deviates from the relation at low due to the low-energy excitation around the vortex core. This deviation was reported in the experiments. [4] In our results, reflecting the small gap in the -wave case [see Figs. 2(a) and (b), also see the V-site in Figs. 5(a)], shows the slope at low in the vs. plot as seen in Fig. 9(b). That is, . With leaving the vortex center, since the amplitude of the low-energy bound states is damped, the weight of gradually decreases. Then the crossover temperature from to is lowered. It is noted that is faster at the S-site than that of the B-site, while the S-site is further from the vortex center. This non-trivial result is due to the vortex lattice effect noted above [see the foot denoted by arrows in Fig. 2(a)]. We should also notice the behavior of the coherence peak below . As seen in Fig. 9(a), with approaching the vortex center as CB, the coherence peak is suppressed. But in the vortex core region (lines V and A), a large new peak grows at intermediate temperatures. This is because the LDOS at the vortex core has peaks at low energy instead of the singularity of DOS at as seen from Figs. 2(a) and (b).
iv.2 -wave case
As for the -wave case, we plot vs. in Fig. 10(a), and re-plot it as a log-log plot in Fig. 10(b). At zero field (line U), we see the power law relation of the -wave case as expected. Note that this can be seen only below in our case. In the presence of vortices, deviates from the -relation, and follows at low temperatures. This deviation was reported in the experiments on high- cuprates. [5] The origin of the -linear behavior is the low-energy state around vortices in our case, instead of the residual density of states due to impurities or defects. With approaching the vortex center, the region of the -linear behavior is enlarged and it appears from higher temperatures. As seen in Fig. 5(b) of the -wave case, the superconducting gap is buried by the low-energy state around vortices without the small gap of the order . Then, at low temperatures in the -wave case instead of the relation in the -wave case. As seen in Fig. 10, at the vortex center (line V) is very large compared with the zero-field case (line U). It reflects the fact that the LDOS of the low-energy state is larger than the DOS of the zero-field case as seen in Fig. 5(b). Figure 6 also shows the LDOS at normalized by : the DOS in the normal state at the Fermi surface. It clearly indicats that the LDOS around the core exceeds the normal state value. This short relaxation may be the evidence of the low-energy peak in the LDOS by the low-energy core state.
The coherence peak below is taken as a manifestation of the -wave symmetry. In the -wave case, the coherence peak is absent. But in the vortex core region, has a peak below even in the -wave case. We should be careful not to mistake this peak due to the vortex core relaxation as the usual coherence peak in the NMR experiment when identifying the gap symmetry.
V Field dependence of
So far, we only consider under a fixed , focusing on the -dependences both in the -wave and -wave cases. In this section we investigate the field dependence of the behavior.
v.1 Field dependence of
We calculate the -dependence of for three representative fields; the weak field , the intermediate field , and the high field in order to see how the coherence peak evolves and the overall -dependence varies with field. We show the results for the V-site and the S-site (other sites exhibit a similar behavior to the S-site, thus not shown here). They reflect the field dependence of the LDOS at the vortex core and outside of the core.[18]
First, we consider the -wave case. It is shown in Fig. 12. As seen in Fig. 12(a), the -enhancement at the V-site in the intermediate temperature diminishes quickly with increasing field. This is because the sharp low energy peaks of at the vortex core, which is the origin of the enhancement, is smeared by the effect of the quasi-particle transfer between vortices. As shown in Fig. 12(b) for the S-site, the coherence peak below also diminishes with increasing field. In particular, for the high field , shows a depression below rather than the enhancement. This is caused by the smearing of the superconducting gap by the low energy state around the vortex, which extends outside of the core region by the quasi-particle transfer between vortices. With increasing field, the singularity of the LDOS at the bulk gap edge E= is smeared. Then the coherence peak diminishes. It is qualitatively consistent to the observation on .[42]
The similar field-dependence of occurs in the -wave case. The -dependence of is shown in Fig. 13. At the V-site [Fig. 13(a)], the enhancement of is depressed as increases. It reflects that the low energy peak of the LDOS around the vortex is smeared by the quasi-particle transfer between vortices. At the S-site [Fig. 13(b)], below is suppressed as increases. It reflects that the low energy state around the vortex smears the -wave superconducting gap-edge. The log-log plots of vs. are presented in Fig. 13 to see the low temperature behavior. At the V-site [Fig. 13(a)], the -linear coefficient in is depressed with increasing at low temperature. This is because the inter-vortex quasi-particle transfer smears the low energy quasi-particle peak of the LDOS at the vortex core. At the S-site [Fig. 13(b)], is increased with raising at low temperatures, while is decreased with raising near [Fig. 13(b)]. Because the vortex contribution is increased and the amplitude of the low energy state extending outside the vortex core becomes large, the relaxation time at low temperatures becomes short with increasing external magnetic field. This tendency coincides qualitatively with the observation of high- cuprates by Ishida et al. [5] or an organic superconductor -(ET)Cu[N(CN)]Br by Mayaffre et al. [43]
We note that the quantum oscillations due to the Landau band quantization affects the low temperature behavior of at extreme high fields. In Fig. 13, at the high field deviates from the -linear behavior. It deviates downward (upward), when the LDOS is minimum (maximum) at the Fermi energy in the quantum oscillation of the LDOS (Fig. 4).
v.2 vs. LDOS
Here we investigate the relationship between at low temperatures and the low energy excitations in the -wave case. In the low temperature region, shows -linear behavior. First, we plot the spatial distribution of at for a unit cell in Fig. 14. This shows that normalized by the normal state value is largest at the core and exceeds its normal state value. Namely, with approaching the vortex core, increases. This tendency is in qualitative agreement with a measurement by Milling and Slichter[27] on Cu NMR experiment of YBCO.
The histogram of is shown in Fig. 15, where the values of for the total 3232 sites is classified according to its magnitudes. This indicates that the vast majority sites outside the vortex core exhibit long relaxation times, but certain few sites around the vortex core exhibit short relaxation time, which contains useful information on the site-dependent low energy excitations associated with the vortex.
This topography of in Fig. 14 looks similar to that of LDOS in Fig. 6. In fact, as shown in Fig. 16 where vs. is plotted, the linear relationship between them is apparently seen. It implies that at low is governed by the low energy excitations at each site. Then, the site-selective is a good measure of the local core excitations. The LDOS around the vortex core can be estimated quantitatively from the slope of at low .
Vi Conclusion and discussions
We have calculated the nuclear relaxation time in mixed state in the microscopic framework of the BdG theory and demonstrated that the site-selective is a good probe to extract detailed information on low lying vortex core excitations. We have investigated the site-dependence, -dependence and field-dependence of both for the -wave and -wave superconductors.
Traditionally, the vortex contribution was considered as the spin diffusion to the normal region of the vortex core, [5, 9] and is treated as the spatial average. However, we can investigate the position dependence of around vortices through the resonance field dependence. This is an advantage of NMR over other methods. We should clarify the local mechanism of the relaxation (i.e., whether the relaxation occurs locally, or it is averaged by the spin diffusion). It is noted that in the clean limit the vortex core region is not a simple core filled by normal state electrons. [1, 10, 11, 12, 13, 14, 17, 34, 35, 36, 37] There, the characteristic -dependence is expected near the vortex core other than a simple -linear behavior, reflecting the rich structure of the low energy state around the vortex core.
We expect that the NMR imaging study just explained here will provide vital information for the vortex core state in high- cuprates. As for the problem whether the quantization of the energy levels occurs or not, if the gap () is present in the excitation due to the quantization. If this small gap is absent, . As for the problem whether the zero-energy peak exists or not in the core state, the relaxation at the core becomes eminently faster than that of the zero-field case (or that far from the vortex) at low temperature, if the zero-energy peak exists in the LDOS as suggested in the theoretical study. If the peak structure is absent within as reported in the STM experiments on BSCCO, the relaxation is slow even at the vortex core as in the zero-field superconducting case.
We have pointed out a pitfall of the conventional procedure of the NMR experiment to extract the nodal gap structure by analyzing the power law of the -dependence of or the coherence peak. Even in the -wave pairing, shows enhancement below by the vortex core contribution.
Finally, we stress that, to perform an idealized site-selective NMR measurement, we need a clear NMR resonance line shape of the vortex lattice as shown in Fig. 8 or as that obtained by a beautiful experiment on vanadium.[6, 7] In the resonance line shape, the signal near the upper (lower) cutoff of the field distribution gives the information from the vortex core (the outside of the core). However, even in the case when the resonance line shape of the vortex lattice is not clear, if we analyze the fast and slow relaxation processes separately, the fast relaxation process includes the information of the vortex core contribution. [44] We hope that future NMR experiments confirm our proposal of the site-selective NMR, and clarify the relation of and . If this experimental method is established, it can be a powerful method to investigate the exotic mechanism of the unconventional superconductors by spatially imaging the low energy quasi-particle excitation around the vortex cores.
Appendix A
The equation of motion for the Green function in a 22 matrix form is written in the coordinate space as
where is the 22 unit matrix. We put the completeness relation:
before in Eq. (33), and use the BdG equation of the form
for . After the Fourier transformation of to , the inversion of the matrix product leads to
with the help of the completeness and the orthogonal relation of the wave functions. In the term with , we use the symmetry property: , when . Then, Eqs. (20)-(23) are obtained.
Appendix B
The spin-spin correlation function is defined as
with . This can be rewritten in terms of the thermal Green functions,
After the Fourier transformation of , we obtain
Then, substituting Eqs. (20)-(23) and performing -sum, the spin-spin correlation function with real frequency is reduced to
Here, we used the symmetry property: , when .
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