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Lukáš Dlouhý (Písek, 9 de Abril de 1983) é um tenista profissional da República Tcheca.

Tenista tcheco, especialista em duplas, parceiro do indiano Leander Paes, juntos já foram campeões de 2 Grand Slams, em Roland Garros e no US Open em 2009. Lukáš Dlouhý conquistou 7 títulos de duplas, dois deles no Brasil Open de Tênis, seguidos em 2006 e 2007. Seu melhor ranking na carreira foi número 5 do mundo em duplas.

Conquistas

Duplas
 2006 Brasil Open de Tênis, Costa do Sauípe com Pavel Vízner
 2006 Estoril Open, Portugal, com Pavel Vízner
 2007 Brasil Open de Tênis, Costa do Sauípe com Pavel Vízner
 2007 ATP de Umag, Croácia com Michal Mertinak
 2008 Thailand Open, Bangkok com Leander Paes
 2009 Roland Garros, Paris com Leander Paes

Ligações Externas
Perfil na ATP`(em inglês)

Tenistas da Chéquia
Naturais de Písek

redpajama_set_name: RedPajamaWikipedia


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Laurie Halse Anderson's Books for Children
By Valorie Delp
Award winning author, Laurie Halse Anderson has delighted children with her books for almost two decades. Spanning a variety of genres, from historical fiction to fiction to even non-fiction, Anderson continues to delight with masterful language and intriguing plots that bring her subjects, characters and the events in her books to life.
Anderson has one fiction series and one fiction book out for children. Her fiction series, Vet Volunteers, focuses on animal welfare issues whereas her lone book is a humerous look at what happens when adults try to force kids to fit into a box.
Historical Fiction for Children
Books About Teenage Isolation
100 Best Children's Books
The Hair of Zoe Fleefenbacher Goes to School
The Hair of Zoe Fleefenbacher Goes to School is an inventive tale that features Zoe and her bright red hair that can do literally anything. While her kindergarten teacher embraced the locks as helpful, Zoe's new first-grade teacher explains 'first grade has rules' and thus, Zoe finds herself taming her mane with scrunchies, bobby pins, duct tape, and barrettes galore. The book is funny to the younger set (think first graders) and makes a great read aloud. On top of that, everyone has a happy ending, as Zoe's hair ends up saving the day with a science experiment gone a little wonky. Publisher's Weekly praises the picture book for being "utterly sympathetic to the ways in which a bad class placement can turn a child's world upside down."
Vet Volunteer Series
The Vet Volunteer books are a series of books focused on Maggie, an 11-year-old girl who volunteers at the Wild at Heart Animal Clinic. Each book uses fiction to focus on a different animal rights issue, making them ideal for animal lover in your family. The books are written at a solid fourth-grade reading level, making them idea for the socially conscious later elementary crowd. Titles in the series (in order) include:
Flight for Life takes aim at the issue of puppy mills when Dr. Mac's place is flooded with sick and abused puppies.
Homeless focuses on the plight of feral cats when a character in the story decides to rescue a group of homeless cats and then re-release them into the neighborhood.
Trickster takes the series to Quinn's stables where David, a known troublemaker, meets a horse named Trickster, who is recovering from an accident. David is convinced he is born to ride the recuperating horse, but will the stable owner let him?
Manatee Blues takes Dr. Mac and her entourage to a manatee rescue center in Florida.
Say Good-bye introduces readers to the world of therapy dogs and takes on the tough issue of canine cancer.
Storm Rescue is a race against the clock as one of the characters has to help rescue both a cat and her owner from a hurricane.
Teacher's Pet shows readers the struggles the blind may go through to learn to work with guide dogs. Fortunately, this blind teacher has a student who may be able to help.
Trapped focuses on illegal animal traps and through the story, shows readers how to combat this crisis.
Fear of Falling tackles the very real fear that some riders have when they first learn to jump.
Time to Fly uses the backdrop of a surprise flock of parrots to deal with tough choices and independence. The main character has to choose whether or not to stay near Dr. Mac's place or go back home with her mother.
Masks places one of the main characters, Sunita, right in the middle of an animal testing controversy. The book deals with ways people can work with animals without harming them.
End of the Race takes a look at the issue of dog racing when Mac and some of the vet volunteers go to a local dog race to check on the greyhounds.
New Beginnings introduces readers to two new characters, Jules and Josh. Jules adopts the class pet, but something goes wrong with his spay surgery, and Jules has to prove she is worthy of being a vet volunteer.
Acting Out focuses on raising awareness of anti-freeze poisoning as the characters in the book deal with a slate of animals poisoned by the liquid.
Helping Hands has the vet volunteers rescuing some mistreated ponies and finding a better life for them.
Treading Water focuses on educating the community about baby animals that you might find in the wild through a story about abandoned ducklings that need to learn how to swim.
Left Behind tells the story of a little lamb who is alone. The only problem is that sheep only thrive when kept with other sheep. Fortunately, the vet volunteers discover the issue in time to help.
Laurie Halse Anderson has also written several nonfiction titles for children. Fascinated with the genre of historical fiction, she has taken to focusing her nonfiction work for children, thus far, on important female characters from history.
Independent Dames
Ever wonder who the women behind the Revolutionary War were? Independent Dames explores the women behind the scenes and all they did to propel America to Independence. The book profiles 89 women, through biographical sketches and humorous illustrations to keep the reader fascinated and engaged. As noted in BookVerdict, Independent Dames was paised by the School Library Journal and The Horn Book as a great read for a side of history many students don't see.
Thank You, Sarah! tells the story, somewhat sarcastically, of Sarah Hale, who wrote more than 30 letters to several sitting presidents to get Thanksgiving recognized as an official holiday. Concerned that the observance of Thanksgiving was waning, Sarah took it upon herself to petition, and petition, and petition... until finally she got someone to listen. The book is suitable for early elementary, but would inspire any would-be world changer with the idea that with some persistence, you really can get things done. Publisher's Weekly praises it for its humorous tone.
Most of Anderson's Historical Fiction is geared towards the young adult and teen audience. In fact, she has three historical fiction 'thrillers,' Forge, Fever of 1793 and Chains. Only Chains is geared towards children; both Forge and Fever 1793 are young adult books.
Chains is set during the Revolutionary War and follows the tale of a slave named Isabel as she works for her freedom. Finding herself and her sister in an unthinkable situation, Isabel gets involved with the Revolutionary War by spying on her cruel owners in hopes of securing her freedom. Common Sense Media points out the book contains violence as it pertains to the daily life of a slave. Consequently, the book is most appropriate for children in sixth grade and up. The book has won numerous awards including the Scott O'Dell award for historical fiction. It was also selected as a 2009 Notable Children's book and was a 2008 National Book Award finalist.
Sometimes publishers stop publishing an author's book. Consequently, these titles for children are definitely hard to find, but worth mentioning,
Turkey Pox is about a young girl who gets chicken pox on Thanksgiving. She thinks the holiday is ruined, but her family rallies around her to save the day.
No Time for Mother's Day is a delightful story about a girl who realizes what her mother really needs for Mother's Day.
Ndito Runs features a boy, Ndito, who has to run miles just to go to school.
Big Cheese of Third Street is a story that proves great things can come in small packages. Bennie Antonelli might be really small and get picked on, but he proves his worth at the annual Third Street block party.
Enjoy Laurie Halse Anderson Today
Often funny and irreverent, Anderson is a master storyteller. Whether she is promoting animals welfare through her writing, weaving fiction with historical fact, or telling the story of heroines of a bygone era, kids will be hard pressed to resist her charms.
Download Free Kids Books By Mary Barile
Free Stories About Pirates for Kids By Michele Meleen
Free Children's Read Along Books Online By Lori Soard
Free Stories About Aliens for Kids By Michele Meleen

redpajama_set_name: RedPajamaCommonCrawl


This stunning custom built home is truly a showpiece. Situated on one of the most beautiful streets in the area, this 2,415 SQ.FT. home has been built to the highest standard with the utmost attention to detail and quality. Spacious open plan featuring many unique features including fabulous layout, huge sunken family room with 10ft ceilings, warm walnut radiant heated floors, crown mouldings and baseboards, oversized windows, air-conditioning and a beautifully landscaped yard. Ultra modern open gourmet kitchen with granite counters, high end stainless steel appliances and extensive custom cabinets with designer fixtures. Step inside and you will be amazed! View realtor website for video tour and photo gallery.


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Posted by: Josiah
Riding high on the success of Sonic Colours, Generations and to some extent, Sonic 4, many thought that the problem of glitchy, mediocre Sonic titles was a thing of the past and the infamous 'Sonic Cycle' had seen its day. Instead of continuing down the path set by games before it, Sonic Lost World seemingly abandons that progress and takes Sonic in a slightly different direction with changes to how a Sonic game plays. A risky move, but would it help to rejuvenate the series?
In his latest adventure, Sonic (& Tails) crash onto a mysterious world called Lost Hex and eventually teams up with Dr.Eggman to defeat the Deadly Six, a group of powerful 'Zeti' that have taken control of Eggman's robot army.
Compared to other sonic games, Lost World shakes things up a bit and has made several alterations to the way you'd generally expect Sonic to move and react. Instead of accelerating gradually to mach 1, Sonic moves at a slower, more manageable pace as standard, which you can speed up by holding the R button. The familiar homing attack makes a return although with a few modifications and a new 'kick' attack has been added to Sonic's repertoire along with a 'bounce' attack. Sonic has also recently become a practitioner of parkour, giving him the ability to dash along walls and run up ledges. For some reason, the wisps from Sonic Colours are also hanging out on Lost Hex and can imbue Sonic with multiple temporary colour powers.
Lost World marks first time that the main levels in a Sonic game have been playable in full 3rd person 3D as well as side scrolling '2.5D' on a handheld, which actually looks surprisingly good on the 3DS. Each area of the map has a prominent theme or style which is incorporated into the levels via several gimmicks or puzzles, such as rolling snowballs to unlock gates in the snow area or rolling fruit into a giant juicer in the tropical area. Sonic's new control scheme and parkour skills make traversing the platform filled levels an enjoyable experience. Being able to speed up and slow down at the press of a button comes in handy when trying to get across some of the more precarious platforming sections in the game while the parkour system provides a useful way to keep momentum while circumventing walls and obstacles in your way. With the average difficulty of levels in Sonic Lost World being slightly more challenging than previous games, you'll want to use all the tricks at your disposal if you want to beat each level with a high score.
On average, the sprawling, vibrant levels look nice and feature multiple areas for you to explore to find alternate paths and hidden bonuses, but the design and level layout can range from fun, well-planned levels where the action flows smoothly to frustrating levels where your progress comes to an abrupt halt by way of unidentifiable hazards, poorly placed platforms or imprecise controls. The snow area, Frozen Factory in particular has several instances of this including a snowboard section that's littered with obstacles, enemies and pitfalls that have to be avoided using the circle pad. If you've used the 3DS, you probably know that the circle pad isn't exactly great for making quick, responsive changes in direction. This along with the clumsiness of the constantly moving board quickly turns that section into a loathsome chore. On the other end of that spectrum, the boss battles against the Deadly Six tend to be overly simplistic, posing no real threat or challenge except for maybe 1 or 2 battles very late in the game.
The attacks that sonic has at his disposal have a certain quirkiness to how effective each one may be at any given time. With the kick and bounce attacks mapped to the same button, I noticed that when attempting to kick, Sonic would bounce instead, which in some cases proved to a fatal mistake. The homing attack also has a certain hit-or-miss element to it mainly due to the auto lock on feature. If multiple enemies, or items are within close proximity, the homing attack will automatically lock on and hit the next closest target allowing for chain homing attacks. When it works as intended, you can clear out a group of enemies with little effort, but every now and then, when using the attack on a single enemy or item box, Sonic bounces off and goes into another homing attack aimed at another target off to the side you had no intention of targeting. Having that happen becomes particularly annoying when that target is positioned over a pit or trap leaving you to your doom.
The wisp colour powers you find along the way are generally unobtrusive and optional, only needed for taking alternate paths through a particular section in a level. Some levels however, feature sections that exclusively require the use of a provided wisp colour power and can not be passed without it. The 'Quake' wisp power is featured in one of these sections and can only be controlled using the 3DS's gyroscope for motion control, making that area a bit awkward to play effectively if you're using your 3DS in an enclosed space, like a rush-hour train. Motion controls are also utilized in the special stages of the game where sonic can collect the 7 Chaos Emeralds. Unlike the 'Quake' sections, the special stages are completely optional and aren't necessary to complete the game.
Overall, Sonic Lost World's 3DS outing showcases some inspired level design from Sonic Team, but also highlights some of their missteps in a few of the poorly placed obstacles and enemies along with the spotty success of certain attacks and controls. Even with its occasional flaws, Sonic Lost World is generally an enjoyable experience, thanks in part to the excellent soundtrack playing throughout.


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Lynda Kinkade
Ian Leslie OAM
Andrew Klein
Lisa Backhouse
Reporter, Today Tonight
Lynda Kinkade has been a broadcast journalist for over 12 years for two of the biggest commercial networks in the country in news and current affairs.
A reporter, producer and stand-by anchor with the Seven Network's Today Tonight program since 2008, Lynda was nominated for Best Current Affairs Story under 10 mins in the Journalism Quill Awards 2011 and received a High Commendation in the Journalism Quill Awards 2012.
Not only is Lynda a highly experienced reporter and producer with a proven track record for breaking stories, gaining the trust of sources and being popular among viewers but she is also in demand with corporate audiences as an MC and panel and forum facilitator.
Lynda is intelligent, natural, engaging, charming and inquisitive, all of which make her an ideal choice for all those roles.
Lynda has hosted events from fundraising luncheons for 300 people to black tie gala balls for 1200. They include Epworth's (Australia's largest private hospital) annual medical fundraising ball at Crown Casino for the last three years and the Sydney Symphony concert in front more than 20,000 people at Parramatta Park in 2009. Lynda has also been the host and forum facilitator at Melbourne's annual 'Women in Healthcare luncheons' since 2009.
She studied Journalism and majored in Law at the University of Technology, Sydney. During her first year at university she undertook internships at Channel Ten and the Hill Shire Times and by her second year she was hired by the Seven Network as a political researcher.
Following the 2003 NSW state election Lynda was recruited from News to Sunrise as a junior producer on the graveyard shifts. After graduating she moved from Sunrise to NBN working as a roving reporter in Newcastle, Lismore and Tweed Heads
Lynda Kinkade joined the Nine Network twelve months later as an assistant Chief of Staff, going on to become a producer then reporter on the Today Show. She also presented weekend news for the network on the Qantas inflight news, sport and weather.
During her four and a half years at Nine Lynda assisted on the coverage of the Bali bombings, the Boxing Day Tsunami, and the Sea King helicopter disaster. On the road she reported on a range of issues from politics and health to education and entertainment.
Since rejoining Channel 7 Lynda has been based in Melbourne and has covered a variety of stories including an expose on the Rudd Government's Insulation Scandal and an investigation into the Emission Trading Scheme which revealed a major loophole. After the story went to air the Climate Change Minister announced an inquiry into the level of payments to polluters embedded within the ETS resulting in the scheme being shelved.
I approached Lynda as at the 11th hour to compere the 2008 Christian Rock Eisteddfod. Lynda shone as our compere. She remained relaxed and calm when interviewing the students from each high-school and held her composure amidst all the issues that can go right and wrong in a live production
2008 Christian Rock Eisteddford
Lynda has been a wonderful asset hosting the annual Epworth Gala Ball at Crown Casino. She beautifully commands the attention of her audience - not an easy task at any event but particularly difficult with an audience of 1200. Lynda is entertaining and engaging and manages to do it all while looking spectacular. I highly recommend Lynda Kinkade as a Master of Ceremonies, panel interviewer or presenter at any future gala event
Fundraising Manager, Epworth Medical Foundation
Our Women in HealthCare luncheon involves a panel of expert speakers discussing a topic of women's health in front of 300 people. Every year Lynda researches each subject meticulously, providing a comprehensive background to the topic and asking the pertinent questions of each of the expert panel speakers. The audiences always appreciate it when she humanises the role by sharing her personal experience and sense of humour
Foundation Administration Executive, Epworth Medical Foundation
Many thanks for your great support hosting Sydney Symphony's 75th anniversary concert at Parramatta Park. It was a dazzling performance and a great event for all attending. Thank you for your warmth and relaxed professional approach. With over 20,000 people in attendance, you played a significant role. Your ability to accommodate last minute changes and make it seem effortless was nothing short of impressive. Thank you.
Sydney Symphony & Parramatta Park Event Manager
From the moment Lynda accepted our invitation to be MC at the HeartKids NSW Tiny Tickers Ball 2013 at the Westin in Sydney we found her to be highly professional, warm, caring, and engaged in our special cause. Her attention to detail with her pre preparation through mastering the detail and nuances prior to the event, were second to none. All of this promise was delivered the moment she commanded the stage, charming and engaging with our 500 strong audience. At this time we knew we had a very talented and special host who was pivotal in assisting us to achieve a significant financial result. We would highly recommend Lynda for any professional MC duties and hope that we can tempt her back next year to help us turn our wonderful event from good to great.
Dave Rose CEO HeartKids NSW.
Lynda Kinkade has a wonderful, personal, inspiring story to tell and she tells it from the heart. As guest speaker at the Cancer Council Tasmania Pink Ribbon Day Breakfast 2013 she spoke of the emotional journey she experienced as a young girl being diagnosed with a brain tumour. In front of 200 guests Lynda spoke of the impact of the diagnosis and shared a video of that journey and her life to date. Lynda is a survivor and wonderful role model. There is no doubt that the audience that morning was very touched by her ability to speak with such warmth and passion that resonated with all who were in attendance. Thank you so much for sharing a part of your life with us.
Cancer Council Tasmania
Health & Lifestyle, Keynote Speaker, After Dinner, Master of Ceremonies (MC), Celebrity, Media TV


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National 9/11 Pentagon Memorial
Explore the Memorial
The Visitor Education Center
Events are held at the Pentagon Memorial year round.
VIEW: 15 / 30 / 45 Showing 1-15 of 27 results
Wreaths Across America Ceremony at Pentagon Memorial
Pentagon Memorial
For the third consecutive year, the Pentagon Memorial Fund has partnered with Wreaths Across America for the annual wreath laying at the Pentagon Memorial. Mr. Jim Laychak, President of the Pentagon Memorial Fund, will join Mr. Morrill Worcester, Founder of Wreaths Across America, for the ceremonial wreath laying.
Wreaths Across America is a nonprofit organization founded to continue and expand the annual wreath laying ceremony at Arlington National Cemetery begun by Maine businessman, Morrill Worcester, in 1992. The wreath laying is held annually, on the second Saturday of every December. Wreaths Across America's annual pilgrimage from Harrington, Maine to Arlington National Cemetery has become known as the world's largest veteran's parade as they stop at schools, monuments, veteran's homes and communities all along the way.
For more information about the history of Wreaths Across America, please click here.
Ride to Recovery 9/11 Challenge
Sunday, September 18, 2011 - 2:00pm
On behalf of the 350 injured veterans and special guests who will be joining us, we invite you to ride in the upcoming Ride 2 Recovery 9-11 Challenge Finale presented by UnitedHealthcare, Sunday, September 18, 2011, at the Pentagon 9-11 Memorial. The ride will mark the 10th anniversary of the 9-11 attacks at the World Trade Center, Crash site of United #93 in Shanksville, and the Pentagon. The Participants will depart Winchester, VA at 8 AM and are expected to arrive at the Pentagon at 2 PM. There is an option to ride from the Pentagon at 10:30 AM and meet up with the group and ride into the finish. If you chose not to ride, the group will finish at the Pentagon Memorial at 2 PM with a reception at Ft. Meyer to follow the arrival ceremony attended by the Secretary of Defense and special guest Debra Burlingame, sister of the AA #77 pilot. In addition, surviving family members of the Pentagon attack have been invited to attend the festivities.
2 pm - Arrive at the Pentagon
2:15 Ceremony at Memorial
2:45 Transfer to Ft Meyer
3:00 Reception at Ft. Meyer (music, food, etc)
We would be honored if you would be able to join with the R2R participants, most have served in Iraq and Afghanistan or served as first responders on 9-11.
For information, please contact John Wordin
Grant Us Courage...Grant Us Peace
Kathy Harty Gray Dance Theatre NVCC Alexandria Campus Tyler Building Auditorium / Gyn #203
Wednesday, September 14, 2011 - 7:30pm
Featuring dancers, music and iconic photography, Grant Us Courage… Grant Us Peace commemorates the 10 Year Memorial Anniversary of September 11, 2001.
This work of healing, previously performed in 2002 and in 2004 when the company raised $20,000 for the Pentagon Memorial Fund, is dedicated to those who lost their lives at the World Trade Center, the Pentagon and Flight 77. The work was choreographed at the request of Tom, one of Kathy Harty Gray's three brothers, all of whom were New York firemen. Two of them were responders that day and the third joined his colleagues in the rescue efforts. Kathy was in close contact with her family during those days and this served as a major inspiration for her choreography.
The names of the dance sections – Searching, Courage, Memories, A Special Prayer and Rebuilding our Lives – evoke the courage and the heroism that allows the human spirit to move forward while remembering those whom we have lost and still miss.
This piece was created and is performed with the hopes to heal and inspire the spirit, and to remind us to appreciate our own lives and the connections to people around us.
Kathy Harty Gray, Adjunct Faculty & Choreographer
Kathy Harty Gray Dance Theatre in residence-NVCC/Alexandria since 1995
kgray@nvcc.edu
www.khgdt.org
Presented by NVCC Alexandria Science, Business & Technology & Physical Education & Dance & KHGDT and supported by Alexandria & Virginia Commission for the Arts, National Endowment for the Arts and individual donors.
Choralis Concert
National Presbyterian Church Washington, DC
Choralis is offering a special performance in Washington, D.C. on Sunday September 11, 2011 to commemorate this milestone anniversary with a program to uplift and inspire. A generous portion of complimentary tickets are available to area organizations and individuals with a personal connection to the 9/11 attacks, including families and survivors from the Pentagon, the organizers of the Pentagon Memorial, first responders from local police and fire departments as well as military veterans and their families. For tickets, please contact Helen Samhan, development committee chair, (202) 494-9141.
9/11 Memorial of Maryland Dedication
World Trade Center Plaza 401 East Pratt Street, Baltimore, Maryland
Please join Governor O'Malley for the dedication of the 9/11 Memorial of Maryland—honoring the extraordinary heroism, commitment and sacrifice of 9/11 victims, rescuers and
their families, and paying special tribute to the Marylanders who lost their lives that day.
Washington Nationals Heroes Day
Nationals Park 1500 South Capitol Street SE, Washington, DC , 20003
Join us at Nationals Park on September 11 as the Nationals honor the 10th commemoration of the attack on the Pentagon. Game time vs. the Houston Astros is 1:35 p.m., but come early for a special pre-game ceremony and on-field remembrance to pay tribute to the victims, their families, and the countless rescue, aid, military and law enforcement workers who were affected by the disaster at the Pentagon on September 11, 2001.
Tickets are just $20 (discounted from $36) and each ticket sold will include a $5 donation to the Pentagon Memorial Fund.
Thank you for your support of the Washington Nationals and the Pentagon Memorial Fund. We look forward to seeing you at the Park.
For stadium information and location, please visit nationals.com/waytogo. Offer not available at Box Office or day of game. No refunds or exchanges.
FOR TICKETS, CLICK HERE.
Scarves for Veterans
Wilson Building 1350 Pennsylvania Avenue NW, Washington , DC, 20004
Sunday, September 11, 2011 - 1:00pm to 4:00pm
Volunteers will create no sew scarves that will be given to the United States Veterans Initiative (U.S. VETS), an organization that provides programs and services to military veterans and their families. Once volunteers assemble the fleece no sew scarves, they will attach them with an awareness ribbon.
Service Project Impact: The completed no sew scarves will be distributed to U.S. VETS who will then include the scarves in a winter warming kit drive that provides Veterans in need with necessary items for the upcoming winter months.
Seeds of Inspiration
Freedom Plaza 1331 Pennsylvania Avenue NW, Washington, DC, 20004
Volunteers will create organic seed globes consisting of flower seeds, compost and soil. Once the seed globes are assembled, volunteers will take them home to then be planted in their neighborhoods where they can begin their own community flower gardens.
Service Project Impact: Volunteers will directly impact their neighborhoods by bringing greenery to areas in need. Once the seed globes are disbursed, community residents will create beautiful flower gardens in their neighborhoods.
9/11 Remembrance Mural
Volunteers will leave their mark by assisting in the creation of the 9/11 Remembrance Mural. Utilizing the paint-by-number method on an 8 ft. x 12 ft. canvas, each volunteer will have an opportunity to paint a portion of the mural. The pre-designed mural will consist of an image that speaks to the importance of remembering the heroes, survivors and victims of the September 11 attacks.
Service Project Impact: The remembrance mural will be on display in the months following the 9/11 National Day of Service and Remembrance, at various schools, libraries and other public facilities around the region. By displaying the mural at various locations, the public will have the opportunity to view the mural that honors the heroes, survivors and victims of the September 11 attack.
September 11 Moment of Remembrance
The U.S. Senate has approved a resolution to establish a national moment of remembrance of those murdered in the terrorist attacks of September 11, 2001.
The resolution calls on Americans to cease work and other activity for a one-minute Moment of Remembrance on the 10th anniversary of the terrorist attacks at 1:00pm Eastern time on September 11, 2011. During the Moment of Remembrance, it is suggested that participants remember the victims at the Pentagon, at the World Trade Center and on the planes and to remember the survivors of the attacks.
The moment of silence was the idea of U.S. Senator Jay Rockefeller, of West Virginia.
From time to time, certain special events may be held at the Pentagon Memorial. These events include any action outside of the Memorial Park's ordinary routine. All events must be approved by the Director of Washington Headquarters Services, and go through the proper application process. All groups and individuals, public and private, may apply to hold a special event in the Memorial Park.
Individuals or organizations requesting a special event at the Pentagon Memorial Park must submit a request for the event on a Department of Defense (DoD) Form 2798, Application/Permit for Use of Space on the Pentagon Reservation. The DoD Form 2798 should be submitted via fax, email, mail, or in person, to the Pentagon Building Management Office, ATTN:
Special Events Section, Room 2E122
Pentagon, Washington, DC 20301-1155
Click here for DoD Form 2798.
Wreath Ceremony Information
A wreath-laying ceremony is a special event that may be held at the Pentagon Memorial Park. Groups and individuals must follow the same application process for these events. The operation and maintenance program for the Pentagon Memorial has been resourced to provide support for four wreath laying ceremonies a day, 365 days a year.
The four time periods available for these ceremonies each day are:
The ceremonies will normally be held adjacent to the Memorial flag pole.
These wreath laying ceremonies will be supported with the following:
An individual knowledgeable of the Pentagon Reservation and Pentagon Memorial procedures
A portable podium with built in sound system
Twenty (20) folding chairs
A tripod for display of the wreath
Requests will be handled on a first come, first served basis. Groups should request a ceremony time as soon as possible, but requests may be accepted at any time prior to the day of a visit.
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Contact Us P.O. Box 3879 Gaithersburg, MD 20885 / (301) 740-3388 / info@pentagonmemorial.net »
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Pentagon Memorial Fund remember. reflect. renew


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\section{Introduction}\label{sec:intro}
In recent years, quantum information theoretical concepts began to play a more important role in the description and understanding of
quantum many-body systems. One of the prime examples reflecting the progress at that exciting interface and its fruitful future prospects is given by Klyachko's breakthrough result a few years ago: It has been shown that Pauli's original exclusion principle \cite{Pauli1925} --- despite its long-term success on all physical length scales --- is incomplete. Indeed, as already suggested by first studies \cite{Borl1972,Rus2}, the fermionic exchange symmetry has been found \cite{Kly2,Kly3,Altun} to imply more restrictive constraints on the one-particle picture, independent of the underlying Hamiltonian, rendering Pauli's original principle obsolete. To be more precise, these so-called \emph{generalized Pauli constraints} (GPC) take the form of linear conditions,
\begin{equation}\label{GPC}
  D_j(\vec{\lambda}) \equiv \kappa_j^{(0)} + \sum_{k=1}^d \kappa_j^{(k)} \lambda_k\geq 0\,,
\end{equation}
on the decreasingly-ordered \emph{natural occupation numbers}  $\vec{\lambda}\equiv (\lambda_k)_{k=1}^d$, the eigenvalues of the one-particle reduced density operator $\rho_1\equiv N \mbox{Tr}_{N-1}[\ket{\Psi_N}\!\bra{\Psi_N}]$. Here, $\ket{\Psi_N}\in \wedge^N[\mathcal{H}_1^{(d)}]$ is the $N$-fermion quantum state, where the one-particle Hilbert space $\mathcal{H}_1^{(d)}$ has dimension $d$ and $j=1,\ldots,\nu^{(N,d)}$, $\kappa_j^{(k)}\in \Z$. For each setting $(N,d)$, the finite set of GPCs defines a convex \emph{polytope} $\mathcal{P}\subset \R^d$, a subset of the \emph{Pauli simplex} $1\geq \lambda_1\geq \ldots \geq \lambda_d\geq 0$. Moreover, the values $D_j(\vec{\lambda})$ coincide up to a prefactor with the $l_1$-distances of $\vec{\lambda}$ to the respective polytope facets $F_j$ corresponding to $D_j\equiv0$ \cite{CS2016a}.

In complete analogy to Pauli's original exclusion principle, the potential physical relevance of the GPCs would primarily be based on their saturation in concrete systems. Such pinning would then reduce the complexity of the system's quantum state and would define \emph{``a new physical entity with its own dynamics and kinematics''} \cite{Kly1} (see also \cite{CSQuasipinning,Stability}). Moreover, the geometrical structure underlying the GPCs suggests a natural hierarchy of extensions of the Hartree-Fock ansatz allowing one to systematically capture static correlations in few-body quantum systems \cite{Stability}.

In an analytical study \cite{CS2013} of three harmonically interacting spinless fermions in a one-dimensional harmonic trap it has been shown that the GPCs are saturated up to a very small correction of the order eight in the dimensionless coupling, $D\propto \kappa^8$. A succeeding extended study of such harmonic models \cite{Ebler,CSthesis,CS2016a,CS2016b,CSQ,FTthesis} has confirmed, by varying the particle number, spatial dimension, degree of spin-polarization and coupling strength that this striking \emph{quasipinning}-effect has a physical origin. It namely emerges from the conflict between energy minimization and fermionic exchange symmetry \cite{CS2016b}. The intensive ongoing debate discussing the physical relevance of the GPCs in more realistic systems, as, e.g., atoms and molecules (see \cite{Kly1,BenavLiQuasi,Kly5,Mazz14,CSthesis,MazzOpen,CSQuasipinning,BenavQuasi2,RDMFT,Mazzagain,Alex,CS2015Hubbard,RDMFT2,CBthesis,NewMazziotti,Mazz16,CBcorr,MazzOpen2,CSQChem,TomaszDoub}
and references therein) has been hampered, however, due to a couple of reasons: First, most of the numerical studies of realistic systems were based so far on very small active spaces of 3-5 orbitals and may therefore fail to accurately capture the true physical situation. Second, it has only been realized very recently that (quasi)pinning is in some cases trivial in the sense that it is a mere consequence of spatial symmetries \cite{BenavQuasi2,CS2015Hubbard,CBthesis} or may just follow from an (approximate) saturation of the Pauli constraints \cite{Mazz14,CSQ}.

In the present work, we revisit the quasipinning phenomenon by addressing all the concerns mentioned above. We namely use state-of-the-art numerical methods to calculate the natural occupation numbers to a high precision and use a concise quantitative measure to distinguish trivial from non-trivial (quasi)pinning. The main aim is thus to estimate the \emph{genuine} relevance that GPCs have in few-fermion quantum systems. By considering one-dimensional harmonic trap systems of fully-polarized fermions, we ensure that possible (quasi)pinning is neither an artifact of orbital-symmetries nor of spin-symmetries. On the other hand, freezing degenerate angular
and spin degrees of freedom and considering a steep external trap reduces the size of the underlying active space and thus allows us to eventually perform a fully conclusive analysis of the GPCs' relevance in those systems. This is quite different in atoms, where the Coulomb interaction between the electrons manifests itself in a wave function cusp which entails the presence of dynamic correlations. While those dynamic correlations typically do not change the qualitative physical behavior, their recovering with high precision requires, however, much larger active spaces for which the generalized Pauli constraints are not known yet. We therefore believe that our succeeding analysis will give us a rather good idea of the genuine relevance that GPCs have in few-fermion quantum systems.

The Hamiltonians at hand take the form
\begin{equation}\label{ham}
\hat{H} = \sum_{j=1}^N \left(\frac{\hat{p}_j^2}{2m}+\frac{1}{2}m\omega^2 \hat{x}_j^2\right)\,+\,K\,\sum_{j<k}\,|\hat{x}_j-\hat{x}_k|^s\,.
\end{equation}
By using the natural length scale of the external harmonic trap, $l\equiv \sqrt{\hbar/m\omega^2}$, we introduce the dimensionless coupling parameter
\begin{equation}\label{kappa}
\kappa \equiv K/ m \omega^2 l^{2-s}\,.
\end{equation}
This is equivalent to just setting  $m\equiv \omega \equiv \hbar \equiv 1$. Besides the general motivation above, there are further important reasons for choosing the family of Hamiltonians of the form \eqref{ham} rather than the electronic Hamiltonians studied in quantum chemistry: The remarkable recent progress in quantum optics allows one to simulate with ultracold gases an increasing variety of physical systems and models which high flexibility and control. For instance, in contrast to the electrons in atoms and molecules, the interaction between the ultracold fermionic atoms can be tuned at the Feshbach resonance \cite{BlochReview,Feshbach,ultracoldBook1}. Furthermore, by departing from the dilute gas regime, the effective pair interaction between the fermionic atoms is typically described by a Lennard-Jones-type potential, and thus differs not that much anymore from \eqref{ham}. The future prospects of  quantum simulation in general and the proposed experimental realization of the (quasi)pinning-effect in systems of ultracold fermionic atoms in particular (see, e.g., the expected ``transparency effect'' \cite{CS2015Hubbard}) provide further compelling reasons for studying the GPCs in harmonic trap systems rather than in weakly-correlated few-electron atoms.

In the following section, we develop  a self-consistent perturbation theoretical approach to determine the leading order behavior of the NONs in the regime of weak coupling. In Section \ref{sec:DMRG} we then explain how to obtain the numerically exact ground state of \eqref{ham} for finite coupling by using the Density Matrix Renormalization Group (DMRG) approach \cite{White-1992b}. Eventually, we use those results to discuss in Section \ref{sec:sgrid} the relevance of the GPCs for different Hamiltonians \eqref{ham} by considering about 100 different $s$-values.

\section{Analytical approach for weak coupling}\label{sec:pt}
In this section we elaborate on a perturbation theoretical approach to determine the leading order behaviour of the minimal distance $D(\vec{\lambda}(\kappa))$ of $\vec{\lambda}$ to the polytope boundary for the ground state $\ket{\Psi(\kappa)}$ of a \emph{general}
$N$-particle Hamiltonian,
\begin{equation}\label{PTham}
\hat{H}(\kappa) = \hat{H}^{(0)}+\kappa \hat{V}\,,
\end{equation}
in the regime of weak coupling. Here, $\hat{H}^{(0)}$ denotes the one-particle Hamiltonian, $\hat{V}$ the pair interaction and the Hamiltonian acts on the $N$-fermion Hilbert space $\wedge^N[\mathcal{H}_1^{(d)}]$, where we assume the one-particle Hilbert space to be finite, $d$-dimensional.
We assume that the ground state is non-degenerate and that the respective $D(\vec{\lambda}(\kappa))$ is analytical in $\kappa$, at least in a neighbourhood of $\kappa=0$. Since $D(\vec{\lambda}(0))=0$, following from the fact that $\vec{\lambda}(0)=(1,\ldots,1,0,\ldots,0)$ is a vertex of the polytope (\emph{``Hartree-Fock point''}), and $D(\vec{\lambda}(\kappa))\geq 0$ for all $\kappa$, the linear order of $D(\vec{\lambda}(\kappa))$ must vanish and therefore the leading order correction is quadratic. Determining this second order term by exploiting conventual perturbation theory is a rather lengthy exercise. In a first step, one would need to determine $\ket{\Psi(\kappa)}$ up to order $\kappa^2$. Then, one would need to determine the one-particle reduced density operator,
\begin{eqnarray}\label{PT1RDM}
\rho_1(\kappa) &\equiv& N\Tr_{N-1}[\ket{\Psi(\kappa)}\!\bra{\Psi(\kappa)}] \nonumber \\
&\equiv& \sum_{j=1}^d \lambda_j(\kappa) \ket{\varphi_j(\kappa)}\!\bra{\varphi_j(\kappa)}\,,
\end{eqnarray}
of $\ket{\Psi(\kappa)}$ by tracing out $N-1$ fermions. Recall that the natural occupation numbers $\lambda_j(\kappa)$ shall be ordered non-increasingly and the respective \emph{natural orbitals} $ \ket{\varphi_j(\kappa)}$ are uniquely defined as long as the natural occupation numbers are non-degenerate.
Finally, one would need to perform again second order perturbation theory, this time on $\rho_1(\kappa)$, to determine the natural occupation numbers up to corrections of $\mathcal{O}(\kappa^2)$. This last step is particularly challenging since it involves degenerate unperturbed eigenvalues. Indeed, one has $\mbox{spec}\big(\rho_1(0)\big)=(1,\ldots,1,0,\ldots,0)$. In the following we therefore elaborate on a self-consistent perturbation theory, which may simplify the task quite a lot.

\subsection{Self-consistent perturbation theory}\label{sec:ptselfcon}
The crucial point of our perturbation theoretical approach is that it exploits a self-consistent expansion of $\ket{\Psi(\kappa)}$. We namely expand $\ket{\Psi(\kappa)}$ for each coupling $\kappa$ as a linear combination of the Slater determinants built from its own natural orbitals \cite{Lowdin},
\begin{equation}\label{PTselfcon}
\ket{\Psi(\kappa)} = \sum_{\bd{i}} c_{\bd{i}}(\kappa)\, \ket{\bd{i}(\kappa)}\,.
\end{equation}
Here, we use the shorthand notation
\begin{equation}\label{PTSD}
\ket{\bd{i}(\kappa)}\equiv \ket{\varphi_{i_1}(\kappa),\ldots,\varphi_{i_N}(\kappa)}
\end{equation}
for the respective $N$-particle Slater determinant constructed from the $N$ natural orbitals $\ket{\varphi_{i_1}(\kappa)},\ldots, \ket{\varphi_{i_N}(\kappa)}$ and $\bd{i}\equiv (i_1,\ldots,i_N)$. Moreover, $\ket{\Psi(\kappa)}$ is normalized to unity, $\langle \Psi(\kappa)\ket{\Psi(\kappa)}=1$. The same shall hold for the natural orbitals and therefore also for all $\ket{\bd{i}(\kappa)}$. The expansion \eqref{PTselfcon} is self-consistent in the sense that the respective expansion coefficients $c_{\bd{i}}(\kappa)$ fulfill self-consistency conditions, ensuring that the respective one-particle reduced density operator \eqref{PT1RDM} is diagonal with respect to its own natural orbitals and that the natural occupation numbers are ordered non-increasingly.

As discussed in Appendix \ref{app:pt}, the self-consistent expansion \eqref{PTselfcon} implies several convenient structural simplifications. First of all, a compact expression follows for the distance $D(\vec{\lambda}(\kappa))$ for all $\kappa$. To explain this, we employ second quantization using the natural orbitals of $\ket{\Psi(\kappa)}$ as reference basis. We can then express the natural occupation numbers
as particle number expectation values, $\lambda_j(\kappa)= \bra{\Psi(\kappa)} f^\dagger(\varphi_j(\kappa))f(\varphi_j(\kappa))\ket{\Psi(\kappa)}$, where $f^\dagger(\chi)$ and $f(\chi)$ create and annihilate a fermion in the state $\ket{\chi}$. Hence, by introducing for any GPC \eqref{GPC} the respective operator,
\begin{equation}
\hat{D}_{\Psi(\kappa)} \equiv D\big((\hat{n}_j(\kappa))_{j=1}^d\big)\,,
\end{equation}
$\hat{n}_j(\kappa)\equiv f^\dagger(\varphi_j(\kappa))f(\varphi_j(\kappa))$, we obtain (see also Ref.~\cite{CSQuasipinning})
\begin{equation}
D(\vec{\lambda}(\kappa)) = \bra{\Psi(\kappa)} \hat{D}_{\Psi(\kappa)}\ket{\Psi(\kappa)}\,.
\end{equation}
Moreover, one observes the elementary identity $\bra{\bd{j}(\kappa)} \hat{D}_{\Psi(\kappa)} \ket{\bd{i}(\kappa)}=\delta_{\bd{j},\bd{i}}D(\vec{e}_{\bd{i}})$, where $\vec{e}_{\bd{i}}$ denotes a vector with entries $\left(\vec{e}_{\bd{i}}\right)_k=0,1$ depending on whether $k$ is contained in $\bd{i}$ (1) or not (0).
This identity then immediately leads to the compact expression
\begin{equation}\label{Dselfcon}
D(\vec{\lambda}(\kappa)) = \sum_{\bd{i}} |c_{\bd{i}}(\kappa)|^2\, D(\vec{e}_{\bd{i}})\,.
\end{equation}
It is remarkable that the right-hand side depends on $\kappa$ only via the coefficient functions $c_{\bd{i}}(\kappa)$. Moreover, \eqref{Dselfcon} holds not only for GPCs but for any function $D$ linear in the natural occupation numbers $\lambda_1,\ldots,\lambda_d$.
In the following, we consider only such GPCs which contain the Hartree-Fock point $\vec{\lambda}_{HF}\equiv (1,\ldots,1,0,\ldots,0)$, i.e.~constraints that are saturated for zero interaction, $\kappa \rightarrow 0$. By resorting to a perturbation theoretical expansion of the $c_{\bd{i}}(\kappa)$ and the natural orbitals $\ket{j(\kappa)}\equiv \ket{\varphi_j(\kappa)}$ one eventually finds (see derivation in Appendix \ref{app:pt})
\begin{eqnarray}\label{ptD}
D(\vec{\lambda}(\kappa))&=& \kappa^2\,\sum_{\bd{i}\in \mathcal{I}_2}\, \big|\bra{\bd{i}(0^+)}\big(\hat{H}^{(0)}-E^{(0)}\big)^{-1}\hat{V}\ket{\bd{i}_0}\big|^2 D(\vec{e}_{\bd{i}})\nonumber \\
&&+ \mathcal{O}(\kappa^3)
\end{eqnarray}
Here, the sum restricts to $\mathcal{I}_2$, the set of configurations $\bd{i}$ differing by exactly two orbital indices from $\bd{i}_0\equiv (1,2,\ldots,N)$ and $E^{(0)}$ denotes the energy of the unperturbed ground state $\ket{\Psi(0)}=\ket{\bd{i}_0}$. Since $\rho_1(0)$ has a degenerate spectrum, the expression \eqref{ptD} involves the \emph{adapted} unperturbed natural orbitals $\ket{j(0^+)}\equiv \ket{\varphi_j(0^+)}$ which do in general not coincide with the eigenstates $\ket{\varphi_j}$ of the one-particle Hamiltonian $\hat{H}^{(0)}$, $\ket{\varphi_j(0^+)}\neq \ket{\varphi_j}$. The adapted natural orbitals, formally defined via the limit process $\kappa \rightarrow 0^+$, can be determined without much computational effort \cite{Davidson76}. Hence, Eq.~\eqref{ptD} defines a striking connection between the pair interaction of the physical system and the quantum information theoretical quantity $D(\vec{\lambda})$, quantifying the absolute influence of the fermionic exchange symmetry on the one-particle picture.

An additional comment is in order, emphasizing the significance of result \eqref{ptD}.
In general, after determining the adapted natural orbitals, one could implement a unitary basis set transformation from the one-particle eigenstates $\ket{\varphi_j}$ of $\hat{H}^{(0)}$ to those adapted states $\ket{\varphi_j(0^+)}$. This would change $\hat{V}$ to another pair interaction $\hat{V}'$ and also $\hat{H}^{(0)}$ to another one-particle Hamiltonian with same energy spectrum . The respective expression \eqref{ptD} would then help to understand the mechanism behind quasipinning: The form of $\hat{V}'$ is related in the simplest possible way to the leading order of the distance $D(\vec{\lambda}(\kappa))$ of $\vec{\lambda}(\kappa)$ to the polytope boundary.

\section{Numerically exact treatment through DMRG}\label{sec:DMRG}
To apply DMRG in the context of continuously confined fermions we use its quantum chemical version (QC-DMRG) \cite{White-1999} adapted to spinless fermions and express Hamiltonian \eqref{ham} in second quantization. As truncated reference basis we choose the first $d$ oscillator states $\ket{\varphi_j}$ of the external harmonic trap (now playing the role of the ``lattice sites'' in standard DMRG).  The Hamiltonian then takes the form
\begin{equation}
\hat{H} = \sum_{i,j=0}^{d-1} h_{i;j} c_i^\dagger c_j + \frac{1}{2} K \!\!\!\!\sum_{i_1,i_2,j_1,j_2=0}^{d-1} \!\!\!V_{i_1 i_2;j_1,j_2} c_{i_1}^\dagger c_{i_2}^\dagger c_{j_2} c_{j_1}\,,
\end{equation}
where (recall $m\equiv \omega \equiv \hbar\equiv 1$)
\begin{equation}
h_{i;j} \equiv \bra{\varphi_i}\,\,\hat{p}_1^2/2+ \hat{x}_1^2/2 \,\,\ket{\varphi_j}  = \Big(j+\frac{1}{2}\Big)\,\delta_{i j}
\end{equation}
and
\begin{eqnarray}\label{eq:2matrix}
V_{i_1 i_2;j_1,j_2} &\equiv& \bra{\varphi_{i_1}}\!\otimes\!\bra{\varphi_{i_2}} \,|\hat{x}_1-\hat{x}_2|^s\,\ket{\varphi_{j_1}}\!\otimes\!\ket{\varphi_{j_2}}
\end{eqnarray}
In a tedious derivation --- being part of the long-term establishment of a DMRG scheme for systems of continuously confined fermions \cite{CSOLDMRG} --- one can determine an analytical expression for the two-particle matrix elements
\begin{widetext}
\begin{eqnarray}\label{eq:2matrix6}
V_{i_1 i_2;j_1,j_2}&=& 2^{s/2} \frac{(-1)^{i_2+j_2}}{\sqrt{i_1! i_2! j_1! j_2!}}  \sum_{m_1=0}^{\min{(i_1,j_1)}}\,\,\sum_{m_2=0}^{\min{(i_2,j_2)}} \binom{i_1}{m_1}\binom{j_1}{m_1}\binom{i_2}{m_2}\binom{j_2}{m_2} \, m_1!\, m_2!\, \mathcal{J}_{i_1+i_2+j_1+j_2-2m_1-2m_2}\,,
\end{eqnarray}
\end{widetext}
assuming $i_1+i_2+j_1+j_2$ to be even since otherwise $V_{i_1 i_2;j_1,j_2}$ vanishes (recall the invariance of the pair interaction under spatial inversion). Here, $\mathcal{J}_{k} \equiv \Gamma(\frac{s+1}{2}) \frac{2^{-k/2}}{\sqrt{\pi}}\prod_{j=0}^{k/2-1} (s-2j)$ and $\Gamma$ denotes the Gamma function.

By choosing sufficiently large bases of up to $d=80$ orbitals, we ensure the convergence of both, the variational energy and the natural occupation numbers on at least ten digits. In particular, we use the dynamic block state selection (DBSS) procedure \cite{Legeza-2003a,Legeza-2004b} to reach a threshold accuracy of $10^{-13}$ in the energy. We also invoked the dynamically extended active space (DEAS) procedure \cite{Legeza-2003b} with a minimum number of block states set to $M=1024$ to guarantee fast and stable convergence during the initialization sweep of the DMRG. The residual error threshold for the respective L\'anczos and Davidson diagonalization procedure is set to $10^{-13}$.

In the left panel of Fig.~\ref{fig:gs} we illustrate the convergence of our approach by comparing our variational energy to the exact one for the analytically solvable harmonic case \cite{harmOsc2012}, i.e., $s=2$,  for the fixed coupling $\kappa=1$ and $N=2,3,4,5$ fermions. Convergence of the energy on more than ten digits is achieved in our approach by choosing $d$ sufficiently large.
\begin{figure}[htb]
\includegraphics[width=0.38\columnwidth,height=4.5cm]{convergence}
\includegraphics[width=0.60\columnwidth,height=4.5cm]{mutualI}
\caption{Left: Absolute error of the DMRG ground state energy for $s=2$ (harmonic interaction), $\kappa= 1$ as a function of the basis set size $d$. Cases $N=2,3,4,5$ are represented by symbols
{\color{red}{$\pmb{\ocircle}$}},
{\color{black}{$\pmb{\Box}$}},
{\color{blue}{$\pmb{\lozenge}$}},
{\color{magenta}{$\pmb{\davidsstar}$}}, respectively and dashed lines emphasize the exponentially fast convergence in $d$. Right: Two-orbital mutual
information $I_{i,j}$ for any two orbitals $i,j=1,2,\ldots,60$ for same physical system and $N=5$.}
\label{fig:gs}
\end{figure}
To illustrate the need for large basis sets from a different perspective, we present in the right panel of Fig.~\ref{fig:gs} for the same physical system the mutual information $I_{i,j}$ for any two orbitals $i,j=1,2,\ldots,60$. Recall that $I_{i,j}$ quantifies the correlation between orbitals $i,j$ since it quantifies the extra information contained in the orbital reduced density operator $\rho_{ij}$ beyond the information already contained in both single orbital reduced density operators $\rho_i,\rho_j$, i.e.~in $\rho_i\otimes\rho_j$ \cite{Legeza-2003b,Legeza-2006a,Rissler-2006,Barcza-2011,Szalay-2015}. While the orbitals around the Fermi level are apparently the most active ones, it can also be inferred from Fig.~\ref{fig:gs} that large basis sets, $d\gg N$, are required to cover also dynamical correlation up to high precision.

For a detailed presentation of the DMRG scheme which we developed to describe systems of continuously confined fermions and a comprehensive analysis of the entanglement structure of those systems we refer the reader to \cite{CSOLDMRG}.

\section{Results}\label{sec:sgrid}
For various numerically exact ground states calculated by DMRG we determine the corresponding one-particle reduced density matrices and diagonalize them numerically to obtain the natural occupation numbers $\lambda_k$. Since our high-precision approach involves large active spaces and since the GPCs are known so far only up to basis sets of size $d=12$ we resort to the concept of truncation \cite{CS2016a}. We perform the (quasi)pinning analysis in terms of a \emph{truncated} vector $\vec\lambda'$, obtained by discarding all NONs sufficiently close to 0 (and also 1).
To be more specific, we quantify quasipinning by the minimal $l_1$-distance $D$ of $\vec{\lambda}$ to the polytope boundary. We then reduce $N$ to $N'$ by ignoring eigenvalues close to $1$, and $d$ to $d'$ by also ignoring those close to $0$. The minimal distance $D'$ of $\vec\lambda'$ to the boundary of the polytope $\mathcal{P}'$ of $(N',d')$ coincides with $D$ in the full setting up to a truncation error $\varepsilon'$,
\begin{equation}\label{eq:trunc}
\big|D-D'\big| \leq \varepsilon'\equiv\sum_{j=1}^{N-N'}(1-\lambda_j)+\!\!\sum_{k=0}^{d-d'-N'+N-1}\!\!\lambda_{d-k}\,.
\end{equation}
Furthermore, since the polytope $\mathcal{P}$ is a subset of the Pauli simplex $1\geq \lambda_1\geq \ldots \geq \lambda_d\geq 0$,
quasipinning can be considered as \emph{non-trivial} only if the distance of $\vec{\lambda}$ to the polytope boundary $\partial P$ is much smaller than the distance of $\vec{\lambda}$ to the boundary of the Pauli simplex. This ``degree of non-triviality'' is quantified by the \emph{$Q$-parameter}  \cite{CSQ}.

\begin{figure}[h]
   \includegraphics[width=7.55cm]{Dp3}
   \includegraphics[width=7.55cm]{Dp4}
   \includegraphics[width=7.55cm]{Dm3}
   \includegraphics[width=7.55cm]{Dm4}
    \caption{For the ground state of the Hamiltonian (\ref{ham}) we present for different coupling strengths $\kappa$ the $s$-dependence of the minimal distance $D$ of the vector $\vec{\lambda}$ of NON to the polytope boundary. The quadratic leading order of $D$ following from the perturbation theory is shown as solid line.}
    \label{fig:D}
\end{figure}
In Fig.~\ref{fig:D} we present the results for $D$ for a large grid of about 100 $s$-values for the case of $N=3,4$ fermions for weak coupling ($\kappa=\pm 0.1$) and medium coupling ($\kappa=\pm 1.0$). For the case of negative couplings we restrict to $s<2$ since the system has no bound ground state for $s>2$. For all grid points we apply the \emph{``concept of truncation''} \cite{CS2016a} as explained above. The respective truncation errors for the particle numbers $N=3,4$ and the chosen couplings $\kappa$ turn out to be negligibly small, i.e.~they are smaller than the width of the plot markers. Even for medium interaction strengths, those numerical results confirm that the GPCs have an \emph{absolute} relevance for all $s$-values since the distance $D$ of the NONs $\vec{\lambda}$ to the polytope boundary is much smaller than the length scale of the polytope given by $\mathcal{O}(1)$.
For the specific cases of a harmonic ($s=2$) and quartic ($s=4$) pair interaction the system exhibits an extremely strong quasipinning which is mainly due to the fact that the active space size shrinks for $s=2n, n\in \mathbb{N}$ \cite{CS2013,CSthesis,CS2016a}. In that context, the reader should note that $s=0$ represents a non-interacting system implying $D(\vec{\lambda}(\kappa))=0$ for all couplings.
A comparison of the results for small coupling ($|\kappa|=0.1$) with those for medium coupling ($|\kappa|=1.0$) shows that increasing the coupling
leads to a weakening of the quasipinning which is due to the increase of the total correlation. Nonetheless, given that $D(\vec{\lambda})\leq 10^{-3}$ for $|\kappa|=1.0$ for all $s$-values, the quasipinning for medium coupling is still quite strong.

Particularly remarkable is the fact that the unique nature of the extremely strong quasipinning in the neighbourhood of $s=2,4$ reduces a lot as one increases the coupling from very-small ($|\kappa|\ll 1$) to small ($|\kappa|=0.1$) and eventually medium coupling ($|\kappa|=1.0$). In addition, it is also remarkable that for $\kappa=\pm0.1$ the perturbation theoretical results for $D(\vec{\lambda})$ agree with the numerically exact DMRG results almost perfectly for $-1<s<2.5$ and $-1<s<1.3$ in case of $\kappa>0$ and $\kappa<0$, respectively. For $s>3$ the numerically exact results do not agree with the second-order perturbation theoretical results. This is due to the fact that for such extreme pair interactions, the coupling $\kappa=0.1$ is not yet small enough and thus  higher orders ($\kappa^3$) strongly affect the behaviour of $D(\vec{\lambda(\kappa)})$. Much better agreement between the numerical results and the perturbation theoretical results can be found for $s>3$, however, by considering smaller couplings as, e.g., $\kappa=0.01$ (not presented here).

\begin{figure}[h]
   \includegraphics[width=7.55cm]{Qp3}
   \includegraphics[width=7.55cm]{Qp4}
   \includegraphics[width=7.55cm]{Qm3}
   \includegraphics[width=7.55cm]{Qm4}
    \caption{For the ground state of the Hamiltonian (\ref{ham}) we present for different coupling strengths $\kappa$ the $s$-dependence of the $Q$-parameter. The leading order of $Q$ following from the perturbation theory is shown as solid line.}
    \label{fig:Q}
\end{figure}

While Fig.~\ref{fig:D} confirms the relevance of the fermionic exchange symmetry on the one-particle picture, it is important to also understand to what extent this relevance needs to be assigned to Pauli's original principle. The potential significance of the GPCs beyond the already well-established relevance of Pauli's exclusion principle is quantified by the $Q$-parameter \cite{CSQ}. Recall that a value $Q_j(\vec{\lambda})$ of the $Q$-parameter for the $j$-th GPC, $D_j\geq 0$, means that this GPC is $10^{Q_j(\vec{\lambda})}$ stronger saturated than what one could expect from the approximate saturation of some Pauli constraints. The results for the overall $Q$-parameter $Q=\max_{j}(Q_j)$ are presented in Fig.~\ref{fig:Q}. First, we infer that the GPCs have a \emph{non-trivial} relevance for all $s$-values and all considered $\kappa$-values, i.e.~some GPCs are always saturated by a factor of about $10$ stronger than Pauli's exclusion principle constraints would suggest. The singular behaviour of $D(\vec{\lambda})$ at $s=2,4$ is also present in the $Q$-parameter, at least for $s=2$. For $s=4,6,\ldots$ the present DMRG results cannot resolve these singularities. Yet, we are convinced that the non-trivial character of the quasipinning is particularly pronounced at all positive even integer values of $s$, and in the respective vicinities.
Furthermore, the perturbation theory (shown as solid line) shows that the leading (zeroth) order $Q^{(0)}$ of $Q(\vec{\lambda}(\kappa))$ is approximately constant for almost all $s$ in complete contrast to the harmonic case. Indeed, for $s=2$ and probably also for further even-integer $s$-values above $s=2$ the $Q$-parameter diverges as the coupling $\kappa$ tends to zero (and thus does not allow for a perturbation theoretical expansion of $Q(\vec{\lambda}(\kappa))$) around $\kappa=0$, i.e., $Q(\vec{\lambda}(\kappa))$ is not analytical at $\kappa=0$.

\section{Summary and conclusion}\label{sec:concl}
Conclusive results for a harmonic model system \cite{CS2013,Ebler,CSthesis,CS2016a} provided first evidence that the generalized Pauli constraints (GPC) would have a tremendous physical relevance since they were found to be saturated up to a very small correction of the order eight in the coupling, $D\propto \kappa^8$. In the present work, we explore whether those seminal findings --- the presence of such extremely strong quasipinning in ground states up to medium interaction strength --- also hold for various other few-fermion systems.  Answering this question is, however, highly challenging since the \emph{exact} description of \emph{interacting} fermions in the continuum can be considered as one of the hardest problems in physics. Even worse, as recent studies of atoms and molecules based on rather small active spaces have revealed, quasipinning found in those systems can be artificial in the sense that it is a mere consequence of the orbital and spin symmetries \cite{BenavQuasi2,CS2015Hubbard,CSthesis,CBthesis}. In our work, we largely avoided those bottlenecks by considering one-dimensional systems of spinless fermions interacting by a general pair potential of the form $\kappa |\hat{x}_i-\hat{x}_j|^s$ confined by a harmonic external potential. We resorted to the DMRG approach in the context of continuously confined fermions to determine the numerically exact ground states of those systems up to medium coupling $\kappa$ for the exemplary cases of $N=3,4$ fermions and for about 100 different pair interactions $-1<s\leq s_{max}$, where $s_{max}=5$ for attractive coupling ($\kappa>0$) and $s_{max}=2$ for repulsive coupling ($\kappa<0$). By choosing sufficiently large basis sets of up to 80 orbitals we ensured the convergence on more than ten digits of both, the variational energy and the natural occupation numbers $\vec{\lambda}\equiv (\lambda_i)$.

Our numerically exact analysis confirms the original expectation: The GPCs are indeed universally relevant in the sense that they are  approximately saturated regardless of the type of pair interaction. Even for medium interaction strength and almost the whole regime $-1<s<5$ of considered pair interactions, we found a quasi-saturation $D(\vec{\lambda})\leq 10^{-3}$ of the GPCs. This provides further evidence that such quasipinning has its origin in the conflict between energy minimization and fermionic exchange symmetry which is present in all systems of continuously confined fermions. To distinguish between genuine and trivial quasipinning we used the $Q$-parameter \cite{CSQ}. The comprehensive analysis eventually confirms that the quasipinning by the GPCs is not primarily a result of the approximate saturation of Pauli's exclusion principle constraints $0\leq \lambda_j \leq 1$.

To shed more light on the weak coupling regime, $|\kappa| \ll 1$, we developed a self-consistent perturbation theory which is based on an expansion of the $N$-fermion quantum states in Slater determinants built from its own natural orbitals. The respective analytical results agree quite well for most of the $s$-regime for coupling $\kappa=\pm 0.1$ with the numerical results. Furthermore, the analytical results also elucidate the singular behaviour found for the specific values $s=2,4,\ldots$, resulting in an even stronger, rather extreme quasipinning compared to generic $s$-values for weak couplings. In particular, the perturbation theory provides a conceptually important insight into quasipinning with consequences for the related terminology: Quasipinning in generic systems is quite strong despite the fact that the leading order correction is only quadratic, $D(\vec{\lambda}(\kappa))= c_2 \kappa^2$. It is thus the respective prefactor ($c_2$) rather than the exponent of the leading order of $D(\vec{\lambda}(\kappa))$ which defines the strength of quasipinning. Only for the specific case $s=2$ and probably some further even-integer $s$-values, the quadratic and further higher orders in the expansion of $D(\vec{\lambda}(\kappa))$ vanish rigorously.

All these results, presented in our work for $N=3,4$ fermions, hold qualitatively also for larger particle numbers.

Due to the remarkable implication of (quasi)pinning for the structure of the many-fermion wave functions \cite{Stability}, our findings emphasize again the potential significance that GPCs may have in few-body quantum systems, particularly for Multi-Configurational Self-Consistent Field (MCSCF) ansatzes and in Reduced Density Matrix Functional Theory (RDMFT). Such applications of the GPCs would require, however, that the recent development \cite{Kly2,Kly3,Altun,SK11,SOK2012,ST13,MOS13,HKS13,SOK14,Alex,MS15,symplecticreview,MS17} in quantum information sciences and mathematical physics yields more efficient algorithms for the calculations of the GPCs for larger active spaces.

\begin{acknowledgements}
We acknowledge financial support from the Oxford Martin Programme on Bio-Inspired Quantum Technologies and the UK Engineering and Physical Sciences Research Council (Grant EP/P007155/1) (C.S.), the Hungarian National Research, Development and Innovation Office (NKFIH) through Grant No. K120569 and the Hungarian Quantum Technology National Excellence Program (Project No. 2017-1.2.1-NKP-2017-00001) (O.L.)
\end{acknowledgements}

redpajama_set_name: RedPajamaArXiv


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AVL Biz
Guest columnists: Donald Trump is the best thing for America
Lessons to be learned
Guest columnists: Donald Trump is the best thing for America Lessons to be learned Check out this story on citizen-times.com: http://avlne.ws/2d5rBPp
Leonard Cruz, MD Steven Buser, MD GUEST COLUMNISTS Published 9:37 a.m. ET Sept. 16, 2016 | Updated 10:16 a.m. ET Sept. 16, 2016
Leonard Cruz and Steven Buser
Those who do not remember the past are condemned to relive it.
- Santayana
Trump wins.
Suppose this headline greets us on Nov. 9. Win or lose, the challenge before us with his candidacy is first to comprehend what is occurring and then to muster a meaningful response.
The book A Clear and Present Danger: Narcissism in the Era of Donald Trump, recently assembled by 18 psychoanalysts, psychiatrists, and university professors who examined the subject of narcissism. To some, Trump's ascendancy has been a spectacle worthy of Ancient Rome. To others, he offers a bastion of hope that America's pre-eminence can be restored.
According to the Swiss psychiatrist Carl Jung, we are all influenced by a personal unconscious comprised of material that for many reasons we repress and a collective unconscious comprised of forgotten or more universally represented material shared in common with other cultures and epochs. For example, recurring Trinitarian motifs exist in many world religions: Brahma, Vishnu and Shiva (Hinduism), Osiris, Isis, and Horus (Egypt), and Father, Son, and Holy Ghost (Christianity). Jung proposed that these recurring ideas in myth, fairy tales and religion provide evidence of a collective unconscious domain.
Donald Trump is a galvanizing figure who tapped into something deep, collective and highly energetic. From a depth psychology perspective, the divisions and polarizations evoked by the 2016 presidential election provide an opportunity for transcending the opposites that Trump and Clinton revealed. The Divided States of America are more apparent today than a decade ago and we might do well to quit blaming Trump, Clinton or Obama. Trump may have provoked reactionary elements in the electorate, Obama and Sanders may have activated exuberant, hopeful progressive elements, and Clinton has stirred intense enmity that strikes some people as misogynist, but at most they exposed already existing elements in our society.
As Dr. Tom Singer writes in the book, "Donald Trump is currently carrying around a selfie stick with the longest reach in the world. And, for a long time, America has also been carrying around a selfie stick with the longest reach in the world."
Anyone who is offended by or animated by Trump's rhetoric (or the rhetoric of Sanders, Obama and Clinton), and that includes almost everyone who has not been in a coma since August 2015, would be well advised to examine the spectacle of the last 13 months. This is a nation of incredible diversity, built upon the remnants of genocidal actions toward indigenous people and benefiting from the exploitation of Africans brought here under the most inhumane conditions. We are inherently a country of paradoxes and we strain under the tensions of our history and our promise. Despite our sordid history, we remain an imperfect beacon of freedom and equality that inspires others around the world. It is the very tensions bound together in America that produce the greatest dangers and the most hopeful possibilities. If you doubt that we are called to transcend the polarizing forces inherent to our pluralistic society, consider our nation's motto, e pluribus unum, out of many one.
Regardless of the outcome on Nov. 8, we are indebted to Mr. Trump. The speed, ferocity and skill with which his campaign and his persona electrified people on both extremes of the political spectrum affords us an unprecedented opportunity to take a serious look at our American Selfie. Like a selfie, sometimes the result is horrifying and we eagerly try to capture a less objectionable visage of ourselves. Another option might be to own the fact that we possess some unattractive features. What awaits us when the dust settles, is the difficult psychological work of determining what Obama, Sanders, Clinton and Trump have revealed to us about ourselves as individuals and as a collective body we call America. If we meet the challenge of reconciling the extreme political viewpoints that were held up for our examination and act wisely, we may declare that Trump was the best thing to happen to America.
Abraham Lincoln captured this high call, "Though passion may have strained, it must not break our bonds of affection. The mystic chords of memory, stretching from every battlefield and patriot grave to every living heart and hearthstone all over this broad land, will yet swell the chorus of the Union, when again touched, as surely they will be, by the better angels of our nature."
Leonard Cruz, MD, is the Editor-in-Chief of Chiron Publications and co-founder of the Asheville Jung Center. Steven Buser, MD, is the Publisher of Chiron Publications and co-founder of the Asheville Jung Center. "A Clear and Present Danger: Narcissism in the Era of Donald Trump," is a new release from Chiron Publications (trumpnarcissism.com) co-edited by Drs. Cruz & Buser.
Read or Share this story: http://avlne.ws/2d5rBPp
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Congrats on the Focus SVT classification, was it as requested / expected?
Couple of little surprises, but so far it looks acceptable. Look forward to seeing how the car will do on track. Glad they didn't stick it in EP. That would have really hurt the owner's interest.
GTX looks like I high participation set of rules..
I think the focus would be a definite contender in FP on the right tracks. Quick google shows 150whp easily with off the shelf parts, I wouldn't be surprised if full FP build hit pretty close to 200.
It was a high-compression and high-lift engine from the factory, that already had a decent intake and exhaust, so there's no way it's going to see the same "typical gains" that might be usual from a lot of other limited-prep cars. It made 170hp stock, so saying it'll make 200whp (~235hp) in Prod trim is...optimistic. It won't make anywhere close to that.
Very similar story to the 170hp 92-93 Integra GSR, which is also in FP, at an even lighter weight, yet no one is running. I've built one, and despite making 170hp stock versus the 140hp stock that came from the standard Integra RS/LS/GS engine, when both are built to the same 11.0:1 & .450" lift, the GSR engine doesn't make enough additional power to convince me that its extra 100lbs, less torque, and cost & difficulty in finding those rare 1.7L GSR engines is enough, versus sticking with the cheap & plentiful and more torquey RS/LS/GS engines, which is why I'm still running them. Honestly, it's kind of toss up based on just what your personal preferences are, or what you already have in your garage. Yet they had a 30hp difference in stock trim.


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temperature in portugal algarve
See more current weather. Algarve climate guide. The area is also popular for water sport activities such as scuba diving and surfing. What's The Highest Temperature Recorded in Portugal? Spring is a superb time to visit the Algarve as temperatures are consistently warm and sometimes even in the mid-20s. Nighttime temperatures remain cool, so bring a coat for the evening. Average Rainfall: Nighttime lows rarely go below 20ºC, which makes it an ideal climate to eat out in the evening. The humidity levels at this time of year are generally moderate, ranging from 60 to 75%, compared to the winter where humidity levels can exceed 80%. There may be the odd shower, but it is nothing compared to what you're likely to experience back in the UK. June and September the most comfortable months with average temperatures reaching 21ºC to 23ºC. It rarely gets uncomfortably hot during the summer and it rarely gets uncomfortably cold in the winter, so travelers can vacation comfortably in the area all throughout the year. In the winter Algarve don´t have tourists because is winter. Praia dos Olhos de Agua, Portugal In the next 14 days average maximum daily temperatures will be 29° which is very warm and perfect for sunbathing. The winter from November to February remains moderate and mild with bright sunny days and the temperature during this period stands around 15°C. Pressure: 30.06 "Hg. Cooling sea breezes help to take the edge off the heat as do the moderately low humidity level. With the Atlantic the west coast, resorts on the Algarve's east, nearer to the spanish border, such as Monte Gordo and Tavira are g… Most of the summer in the Algarve is rain-free with an average of 10mm a month throughout the summer season. The weather in the Algarve at Christmas is best described as unpredictable but mild. Humidity: 72%. The average water temperature will be 19° which is … Sunny. By the end of spring,the sea temperature can be quite cool, ranging from 16°C to 17°C, so for some it may still be at bit too cold to go for a swim in the Atlantic Ocean. July is the hottest month in Algarve with an average temperature of 23.5°C (74°F) and the coldest is January at 12°C (54°F) with the most daily sunshine hours at 12 in August. Spring is an excellent time for holidays in the Algarve, especially from May, when … High Temp: 85 °F. However, in the peak months, daytime temperatures can rocket to the mid-30s, such as in August 2013, where temperatures soared up to 35ºC. (Weather station: Faro / Aeroporto, Portugal). The best month to swim in the sea is in August when the average sea temperature is 21°C (70°F). It usually falls in brief thunderstorms that come in from the Atlantic. March to May, is a great time to visit as the temperatures rise and the sun returns. In fact, values vary between 9ºC / 48ºF in Porto, 11ºC / 52ºF in Lisbon, and 12ºC / 54ºF in the Algarve (Faro). Find the best time to go to Faro (Algarve). Be prepared with the most accurate 10-day forecast for Faro, Faro, Portugal with highs, lows, chance of precipitation from The Weather Channel and Weather.com December is the wettest month in the Algarve, although it's definitely not as wet as northern Europe. July is the hottest month in Algarve with an average temperature of 23.5°C (74°F) and the coldest is January at 12°C (54°F) with the most daily sunshine hours at 12 in August. Currently: 68 °F. It is very rare for the Algarve to experience extreme weather conditions, however, in January 2013, strong winds of up to 130kph and heavy rain caused widespread destruction. The average high temperature starts in the pleasant mid-20s then reaches a peak of 28ºC in July and August, which is similar to the Costa del Sol. How Much Does It Rain InSpring In The Algarve? Nighttime lows hover around 10ºC which is chilly but nowhere near as cold as the UK. Late-season sun seekers can still be found sunbathing throughout the autumn, enjoying average daily maximum temperatures ranging from 26°C in September to 19°C in November. Get the forecast for today, tonight & tomorrow's weather for Faro, Faro, Portugal. Get the monthly weather forecast for Albufeira, Faro, Portugal, including daily high/low, historical averages, to help you plan ahead. Weather ☀ ⛅ Algarve ☀ ⛅ September ☀ ⛅ Information on temperature, sunshine hours, water temperature & rainfall in September for the Algarve. The sirocco wind that originates in the Sahara brings with it extreme heat, aridity and sometimes even sand. The average water temperature in Algarve in winter reaches 16°C/60.8°F, in spring 16°C/60.8°F, in summer the average temperature rises to 20°C/68°F, and in autumn it is 20°C/68°F. The west coast, resorts on the Algarve's east, nearer to the spanish border, such as Monte Gordo and Tavira are generally hotter and drier than those to the west such as Lagos and Praia da Luz. All Year Climate & Weather Averages in Algarve. Sunshine hours – 12 Rainfall days – 2 62% chance of sunny days and 5% chance of cloudy days with 4% chance of rain Ocean temperature 19⁰ C (66⁰ F) Chance of windy days – 54% Rain decreases from March to May, with an average maximum of 40mm in March and April and only 20mm in May, compared to London in the UK, which sees an average of 50mm. There is an equal chance of a bright sunny day as an overcast cloudy day, and there is always the risk of some rain. Spring is also relatively quiet, meaning that many of the beaches are deserted. Sunshine levels jump to nine hours per day in April and ten hours in May, which is a considerable increase from the winter months which peak at six. What's The Weather Like in The Algarve in October? Even though the temperatures are starting to decrease at this time of year, the humidity is starting to gradually rise. The Algarve usually sees an average of 80% humidity compared to July which sees an average of a relatively comfortable 60% humidity. Is it warm enough to swim in Algarve in March? Wind: 8 mph. September falls slightly back down to 26ºC.Â. On the south-western tip, in Cape St. Vincent and in Sagres, the summer is particularly cool: average highs in … Dew Point: 54 °F. Average water temperature in Tavira (Algarve) in celsius. Today's Faro, Portugal water temperature. Take a look at the seven-day weather forecast for the principal cities inThe Algarve. This is mainly down to the region's famous coastline and mild climate during autumn and spring. Sunshine levels, peak at around six hours a day. Rainfall is also at its highest with an average maximum of 100mm in November and December but this usually sticks to short showers or thunderstorms. Rainfall in Algarve in November The average total rainfall in Algarve in November is 1cm and on average there are 9.7 rainy days in November making it a dry time to visit the beach. The western region of Portugal can see cooler weather due to the Atlantic winds. The Mediterranean weather in the south means the popular Algarve region sees consistently warm and sunny days. The sun shines for ten or more hours per day on average for the entire summer season from June till September. The maximum day time temperature is 16-18C, which is just warm enough for t-shirts but certainly not for sun bathing on the beach. Sunshine and Rain in The Algarve in WInter. In 2006, snow covered the beaches but freezing temperatures are still exceptionally rare in the Algarve. December to February, is very mild with an average high temperature of 16ºC in December and February which drops just slightly to 15ºC in January. Temperatures in the summer months from May to August can reach as high as 30°C. By late May the summer beach season is in full swing. If the wind comes from the south, up from Africa, temperatures can rocket. The Algarve region in Portugal is known for its natural beauty, rich culture and warm climate that brings constant sunshine and clear blue skies to the area year-round. The Algarve is a region covering the southernmost portion of Portugal and boasts a fantastic Mediterranean climate that has seen it become one of Europe's most popular holiday destinations. The wettest month is December with an average of 117.2mm of rain. For each destination, Easyvoyage's weather tool gives you temperature and rainfall indicators, along with wind force and direction and sunrise/sunset times. The average sea water temperature in Algarve in November is 18.6° which is cool for swimming, shorty wetsuit may help you extend your time in the water. Low Temp: 46 °F. Winter temperatures in the interior of Portugal are a bit lower, especially in mountainous regions where lows may drop just below freezing. Algarve 14 Day Extended Forecast. In winter, the plains of Alentejo are subject to dry, cool, windy weather and temperatures with temperatures in the high 40s F It is slightly le… The temperature in October and November, is very warm with an average high temperature of 22ºC in October and 19ºC in November. Average water temperature in Algarve in March is 15.3°C/59.5°F and therefore is not suitable for comfortable swimming. The disaster was described as the biggest natural catastrophe in Portugal in recent years, and according to weather experts, was caused by a freak cyclone weather phenomenon, also known as explosive cyclogenesis, which is extremely rare in Portugal. October is one of the best months to visit the Algarve as temperatures still hover around the high 20's and can often reach the mid-30s. Gusts of hot wind blowing up from Africa are more likely when even winter temperatures can reach the low 20s. However, winds tend to keep the temperatures down a little with coastal breezes. The highest temperature ever registered in Portugal was 47.4ºC in Amareleja in 2003 found northeast of the Algarve. The best month to swim in the sea is in August when the average sea temperature is 21°C (70°F). You can rent a car ( is cheap ) and go 1 day to Lisbon,.In 3 hours you are in Lisbon by motorway. The mean water temperature over the year in Tavira, Portugal. With an annual average of 3000 sunshine hours and over 300 days of sun a year, the Algarve is one of Europe's sunniest places, sunnier even than California in the USA. It rarely to freezing though further from the coast it can dip down and frosts can occur. It is, without a doubt, the time where you can experience the coldest months in the region. The warmest sea in Algarve in March is 17°C/62.6°F, and the coldest sea temperature in March is 13.9°C/57°F. Expect maximum daytime temperatures to reach 28°C with moderate heat and humidity. November night times, however, can be chilly at an average low of 13ºC. Rainfall does increase but only to around 50mm, which is unlikely to cause more than a brief inconvenience. Spring is best for activity holidays such as horse riding, cycling, windsurfing or golf; though by the end of the season true beach weather is almost guaranteed. Algarve is a place where tourists go at all different times of the year because the weather is almost always wonderful. Marine / ocean climate data updated daily, surface sea temperatures and recorded in degrees centigrade and farenheit. The region is open to Atlantic winds coming from the Atlantic, which is the reason Algarve is such a favourite with sailors and water sports enthusiasts. Get the latest coronavirus (COVID-19) updates for Portugal with current travel advice, statistics and online resources.. Below are average maximum temperatures at popular destinations in the Algarve for next month - December. You can expect highs of 18°C and lows of 9°C, although the average temperature is about 13°C or 14°C during the day. Algarve, Sunrise Is The Sea In The Algarve Warm in WInter? The hottest time of year in Albufeira, Algarve is normally August. 17:15. 07:28, Sunset Fishing and sailing schools run courses all year round. The Algarve: Seven-day weather forecast. In June to September, is filled with long days of brilliant sunshine and soaring heat. Mean Temp: 64 °F. During those months, Algarve water temperature does not drop below 20°C/68°F and therefore suitable for comfortable swimming. Precipitation: 0.60". Coastal sea temperatures around Portugal Ocean temperature and marine climate data is provided daily by the National Oceanic and Atmospheric Administration However, the average sea temperature is starting to decrease, in October temperatures average at 19ºC and in November at 17ºC, compared to a positively warm 21ºC in August. The Algarve region is close to the equator. The average sea temperature can also rise up to 21ºC which is cool in comparison to the Mediterranean but more than warm enough for a long swim remember that this is the North Atlantic Ocean. The weather in february in Faro is quite dry (with 2in of rainfall over 5 days). Temperatures rarely drop below 20°C and reach a peak of 28°C in July and August. The weather is worst than the previous month since in january there is an average of 1.8in of precipitation over 6 days. During the spring and autumn months from March to October the temperatures in Algarve average a pleasant 17°C to 19°C and this is accompanied with plenty of sunshine. Displayed in a beautiful overview. The best place to stay in winter is Albufeira because you have a good beach, shops, many bars and restaurants. The Algarve boasts a number of stunning beaches such as Praia de Falesia and Arrifana Beach. Which month has the most rain in the Algarve? It's exposure to weather systems coming over from the Mediterranean, most notably southern Spain, and from Africa, mean the weather is usually very warm. The latest and today's weather in Algarve, Portugal updated regularly. But on rare occasions, short-lived thunderstorms may occur. Weather in the Algarve in December. While sunshine levels are good for autumn at six to seven hours a day, they are dramatically reduced from the Algarve's summer sunshine levels, which can average at 12 hours per day. Algarve – Weather. Bright, sunny days await you in the Algarve, Portugal. The sun is intense, requiring the famed olive groves vineyards to be irrigated by Alqueva, the largest strategic water reserve in Europe. Algarve weather in December, January, and February At the winters in Portugal, especially in January, the temperatures can swing from around 9°C (48°F) at night to about 16°C (61°F), during the day. The weather in Portugal is still nice in the winter, with average daily temperatures of around 15°C. With an annual average of over 300 days of sun a year, the Algarve is one of Europe's sunniest places. The summer sees an impressive 12 hours of daily sunshine and almost no rain. The sea on the south coast of Algarve is cool, although a little less than in the rest of Portugal, in fact, it reaches 21 °C (70 °F) in August and September. These two well-known regions of Portugal are hot in the summer, with temperatures in Évora easily over 100 F. The Algarvecity of Faro, with an international airport, is more temperate. During the spring and autumn months from March to October the temperatures in Algarve average a pleasant 17°C to 19°C and this is accompanied with plenty of sunshine. The average high temperature climbs to 18ºC in March, 20ºC in April and 22ºC in May, with an average low temperature of 10ºC to 13ºC from March to May.Â. The wettest month is December with an average of 117.2mm of rain. As like most parts of Portugal, December and January are the wettest months in Lisbon, with an average of 10 rainy days per month.The summer months are very hot with temperatures sometimes exceeding 30°C (86°F). The warm weather also makes it comfortable to walk around and enjoy sports such as golf, cycling and hiking. Weather ☀ ⛅ Algarve ☀ ⛅ April ☀ ⛅ Information on temperature, sunshine hours, water temperature & rainfall in April for the Algarve. Hi/Low, RealFeel®, precip, radar, & everything you need to be ready for the day, commute, and weekend! Suggest packing a light sweater and windbreakerAverage temperatures – Low 24⁰ C (74⁰ F) Low temperature: 18⁰ C (65⁰ F) High temperature: 28⁰ C (82⁰ F); However there are some spells where temperatures can get much higher. The maximum recorded temperatures in the Algarve fluctuate between 25 °C (77 °F) in winter and over 40 C in summer, with the temperature rarely falling below freezing in the winter. You will find the marinas packed full of yachts and the sea flecked with white sails. Select a destination to see the climate guide for all months of the year. Weather in Lisbon. The average sea temperature in the winter season is around 14°C to 17°C, which is considered rather cool compared to the rest of the year, but fine for a quick dip. The Algarve boasts a fantastic Mediterranean climate that has seen it become one of Europe's most popular holiday destinations. Current sea temperature in Algarve The Algarve is also a magnet for golfers from across the world, and has been for more than 30 years. Very warm but also breezy at times, making the weather more than bearable. The climate is fairly fresh in this location the month of february, but it is endurable when dressing hot. One of the benefits of visiting the Algarve in the autumn is that tourist numbers are generally low, meaning the beaches don't get crowded. Average monthly water temperature (celsius) per month for Faro (Algarve), Portugal. Show the average water temperatures in Tavira in Fahrenheit » * Data from nearest weather station: Faro, Portugal (26 KM). In terms of rainfall, December is usually the wettest month in Albufeira, Algarve with 99mm on average. On average, July has the hottest water temperature. This heatwave affected many parts of the Algarve, which contribute to widespread mountain fires. The summer months will see 12 hours of sunshine per day on average and almost no rain.
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temperature in portugal algarve 2020