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REVIEW: 'Green Lantern'
3 stars
Ryan Reynolds is Hal Jordan, aka DC Comics' Green Lantern. This origin story follows Jordan as he is bestowed the mystical green ring with otherworldly powers. Directed by NZer Martin Campbell (Casino Royale) and co-starring Taika Waititi. Screening in digital 3D. Opens June 16, click here for movie times & the trailer.
A point of difference for flashy blockbuster Green Lantern is the amount of cosmic fantasy. If Batman, Spider-Man and the X-Men are grounded in a recognisable reality, Green Lantern instead jettisons Earth for the distant planet of Oa, a place of glowing things, immortal martians and thousands of weird and wonderful beings that will make for good action figures.
Immediately this seems like a more kid-friendly outing. On the flipside, however, there's some scary stuff involving psychological elements of willpower (green energy) and that of fear (yellow energy). It's a bit reminiscent of Ang Lee's Hulk: a mix of larger-than-life monsters and a hefty dose of the id.
There are no real surprises to be found, though, and aside from interesting design elements (Those of a more cynical bent might call it ugly, but let's say kitschy), Green Lantern is largely a by-the-book origin tale. Ryan Reynolds feels jarring as the hero, he's too self-conscious and glib to make an empathetic lead. There are plenty of small bit parts from the likes of Tim Robbins, Mark Strong and Temuera Morrison, but my favourite would have to be Peter Sarsgaard as the devious Hector Hammond. After being infected by alien juice, he's also seemingly infected with a dose of hamminess; his brain growing to epic proportions, outgrowing his ridiculously receding hairline and making him 'super evil'.
When it's fun, it's fun and the 3D is clear and effective, especially in action scenes involving malicious dust clouds or intergalactic travel. Green Lantern makes an effort to differentiate itself on an aesthetic level, but otherwise it's what you'd expect – a special-effects bonanza following formula.


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Alhambra and other pictures
Personal favourites for Kate
John Hasson
A selection of photos from the Alhambra Palace as well as various pictures that just look good. Well, to me anyway.
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Published December 05, 2010
Happy Birthday Mum!
Published November 24, 2010
Ana Georgia - Year One
Published July 06, 2010
Published November 11, 2009
Balmoral Rocks
Published October 31, 2009
Ana Georgia Hasson
Published April 04, 2009
Blurb Sites

subset: commoncrawl


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Table 128 Bistro and Bar's first Vom Fass Scotch Dinner on March 9 was such a big success that they decided to hold a second one. The Clive restaurant will team with Vom Fass for a second scotch dinner on April 13. The dinner will have two seatings, one at 6:30 p.m. and one at 7:15 p.m. Reservations are required, and they may be made by calling the restaurant at (515) 327-7427 or e-mailing GM Sarah Pritchard at firstname.lastname@example.com. The dinner will be $56 per person (plus tax and gratuity).
Table 128's Chef Lynn A. Pritchard and Melissa Bartholomew of Vom Fass have collaborated on a similar four-course menu to their March 9 dinner, complete with the same single-malt scotch pairings. Here is a look:
Course 1
Risotto Croquette (caramelized onion, frisee and micro green salad, quail egg diavolo, and parmesan tuile)
Scotch Pairing: Auchentoshan
Course 2
Shellfish Study (raw scallop salad, seared scallop, smoked oysters, brown butter mac and cheese, apple confit)
Scotch Pairing: Glen Ord
Course 3
Roast Lamb (apple fennel roast chestnut slaw, potato puree, smoky lamb demi)
Scotch Pairing: Bowmore
Course 4
Almond Financier (sugar, almonds, eggs, sautéed pear, salted almond ice cream, almond brittle)
Scotch Pairing: Glen Elgin
For more information on the second Vom Fass Scotch Dinner at Table 128 Bistro and Bar or other Table 128 events, go to the restaurant's website.


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More Flash Reviews
Go Home
By Paul
Copyright 2006 The Dance Insider
PARIS -- I'm told by
those who know Flamenco better than I do that Joaquin Grilo is,
at the least, a rising star, a master of compas or rhythm.
Indeed, many others in the audience for Grilo's show last Thursday
at the Cirque d'Hiver, including my flamenca companion, were charmed
by the young man with the electric feet. I preferred the tremors
sent up my spine by his singing sister, Carmen Grilo, apparently
one of the best-kept secrets in Flamenco, and by the traditional
Sevillian dances of his partner, Rosario Toledo.
Carmen Grilo's singing
is not for the faint of heart. Indeed, one even gets the feeling
she is restraining herself, lest she overwhelm us. Unfortunately,
there was not enough of her in what seemed an abbreviated one-act
program more interested in extended solos from her brother and Toledo.
When Grilo casually tossed his suit jacket to his sister, the gesture
almost seemed disrespectful, as if to indicate she was just part
of the scenery, there to catch his disgarded props.
As for Grilo's dancing,
it was his fluid upper-body experiments -- showing the influence
of Antonio Canales -- that interested my companion, who they struck
as unusual for Flamenco men. While I saw her point -- the classic
male flamenco torso is usually more erect -- for me the fluid spine
did not seem so new and, as explored by Grilo, ill-defined. He wasn't
doing anything interesting with it. Instead, this Tom Cruise look-a-like
seemed to rely more on pure charisma, albeit aided by the significant
power of his ever-reverberating feet.
By contrast, Toledo's
bata de cola or long gown with train dance -- a retro-trend
these days, I'm told -- seemed more experimental, especially as
regards subtle changes in the way she twisted her spine, regarded
the floor, and spaced her feet. If at the beginning of her extended
solo she appeared to be grappling with the train, by the end she
had mastered it and the space.
The Grilo show was part
of the Paris International Flamenco Festival, produced by Flamenco
Production, based in Southern France. The promoter's Geneva festival
runs March 9 - 12, opening Thursday with Duquende and Chicuelo.
Noche Flamenca Watch
Back in the United States,
few have done so much to maintain the integrity of Flamenco as Martin
Santangelo, artistic director of Noche Flamenca, and Soledad Barrio,
the company's firey star. As a Flamenco colleague put it to me recently,
"Noche is there to show us what the real deal is supposed to be."
If you're in New York this week, you can check the real Flamenco
deal at Joe's Pub, where Noche Flamenca is performing Wednesday
through Sunday, with shows at 7 and 9:30 p.m. each night. (Barrio
will also be teaching two-hour classes on Saturday and Sunday, at
Fazil's.) Look for the siguiriya from Barrio, the solea
por bulerias from Alejandro Granados, and tango duets. The dancers
will be joined by singers Manuel Gago and Emilio Florido and guitarist
Eugenio Iglesias. For more details, please visit the Joe's Pub website.
Flash Reviews
Go Home


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Contractor's License: CT 33015
"PV" is short for Photovoltaic.
Photovoltaic - pertaining to a material or device in which electricity is generated as a result of exposure to light.
Learn more about how you can own your pv system with no upfront cost and pays for itself in less than 4 years, just by using your electric bill savings.
PVTECH is a locally owned provider of residential solar photovoltaic and solar water heating services. From design to installation, our staff will guide you through a complete process, which focuses on your needs. Customer satisfaction is our number one priority.
Browse our site for more information, or call to set up a FREE in-house visit.
There are tax credits to make Solar PV affordable. Federal tax credit is 30% and the Hawaii State tax credit is 35% with restrictions. Click here for details.
Loving our customers and our work.
Every job is the model for future jobs.


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Graduates represent 14 NIU teams and 19 different majors
NIU never trails as it races past the Chippewas
Jordan Threloff leads NIU with 15 points and 15 rebounds
Aaron Armstead leads NIU with 15 points; Anthony Johnson adds 12
NIU looks for its 12th consecutive home victory
USATSI Gallery men's basketball -- 12/22/14
2014-15: Appeared in 23 games, including six starts, playing 15.1 minutes per game … Averaged 3.7 points and 3.0 rebounds per game … Shot 78.3 percent (18-of-23) from the free-throw line and 42 percent (34-of-81) from the field … Also recorded 12 assists (0.5 pg), 11 blocks (0.5 pg) and five steals (0.2 pg) … Scored in double figures twice: 12 at Ohio (Jan. 7) and 10 at Notre Dame (Dec. 22) … Pulled down a season-high eight rebounds against Aurora (Nov. 15) … Brought down the rim with a dunk against Central Michigan (Feb. 28) that was featured on Good Morning America, the CBS Evening News, the NBC Nightly News and SportsCenter, among others … Played a season-high 30 minutes at Ohio ... Went 6-of-11 from the field with 12 points and seven rebounds in NIU's win at Ohio (Jan. 7). 2013-14: Appeared in 31 games, making six starts ... Averaged 3.2 points and 2.0 rebounds per game ... Shot 44.3 percent (39-of-88) from the field and 63.6 percent (21-of-33) from the free-throw line ... Scored a season-best 10 points in a victory over Dartmouth (Dec. 5) ... Grabbed a season-high five rebounds against Bethune-Cookman (Jan. 3) ... Tied for second on the team with 18 blocked shots including a season-best three against UC Riverside (Dec. 22) and Miami (Feb. 4) ... Scored eight points on a perfect 4-of-4 shooting from the field against Central Michigan (Feb. 12) ... Played a season-high 29 minutes against UMass (Dec. 14), scoring nine points with four rebounds. 2012-13: Redshirted following transfer from Sacramento State.
2011-12 (at Sacramento State): Appeared in 16 games, including three starts...averaged 1.3 points, 1.0 rebounds and 5.1 minutes per game...started the first three games of the season...had a season-high four points and two rebounds in 13 minutes at Washington State...had five blocked shots, including two against Cal Maritime...shot .714 (5-7) from the free throw line.2010-11 (at Sacramento State): Appeared in 17 games, including one start...posted season averages of 1.9 points and 1.5 rebounds per game...shot 46.2 percent (12-26) from the field...picked up his lone start of the season at Washington State...season high of 12 points came against Bethany, and season-high six rebounds came against William Jessup.Prior to College: A 2009 graduate of Saint Laurence High School in Burbank, Ill...also played one season (2009-10) for Wilbraham & Monson Academy in Wilbraham, Mass., a one-year, postgraduate private school...was a third team all-Western New England Conference selection after averaging 12.1 points and 8.2 rebounds for a Wilbraham & Monson team that posted a 15-7 record in 2009-10...played four years for Saint Laurence High School...as a senior in 2008-09, he was a first team all-area, all-Chicago Catholic League and team MVP after averaging 18.4 points, 9.1 rebounds and 2.5 blocked shots per game...that season, he averaged 6.2 trips to the free throw line per game, and converted on 111 of those 167 opportunities...scored in double figures in 22 of 27 games, including five games with at least 20 points...also had eight double-doubles, and blocked at least three shots on 16 occasions.Personal: Born Sept. 15, 1991 in Chicago, Ill. ... Parents are Momo and Denise Rakocevic ... Majoring in General Studies.


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"In the News" is a regular news section about events, projects, companies, people and organizations related to, or associated with The Wilton Companies.
We encourage you to let us know about anything of interest to be added to the website.
March of Dimes is relocating to Innsbrook!
July 18, 2012 - The Wilton Companies is pleased to announce that March of Dimes has leased approx. 4,474 square feet at 4191 Innslake Drive, Glen Allen, Virginia 23060.
The March of Dimes Virginia Chapter awards grants to local organizations to meet the urgent needs of babies and families in our communities.
For more information about March of Dimes Virginia Chapter, please go to their website at: http://www.marchofdimes.com/virginia/


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Going into the final day of the Adris RC44 World Championship nine points ahead of second, Chris Bake's Team Aqua looked to be in a good position to win the 2012. But John Bassadone and Peninsula Petroleum were on a roll. After the Gibraltar-based skipper and his mostly Spanish crew scored three wins yesterday, in today's three races they continued their success claiming line honours in the first two. This left the outcome to be decided only in the final metres of the final race.
Once again conditions off Rovinj, Croatia were a carbon copy of those enjoyed throughout this week with a 6-8 knot breeze and warm sunshine.
In today's first race, Peninsula Petroleum stuck to yesterday's winning formula of claiming the pin at the start and then heading left. This paid huge dividends and by the time the boats converged at the top mark, her lead was already around 15 boat lengths and she was never challenged. But in addition to Bassadone's win, Team Aqua's championship-winning prospects were slipping through their fingers with a lowly 12th place finish, leaving them two points astern of Bassadone's team.
Race two and Peninsula Petroleum's pace came into its own and just before the start gun, they were luffed by Katusha, but then simply overhauled them, forcing Gennadi Timchenko's crew to tack away.
Team Nika reached the top mark first followed by Igor Lah's Ceeref with Peninsula Petroleum third. Bassadone's crew managed to edge ahead on the second beat and maintained their lead from then on.
For the third start, with Peninsula Petroleum now ahead of Team Aqua by five points, so the gloves were off with the two teams openly match racing. After one general recall and one postponed black flag start, on the third attempt Peninsula Petroleum opted for a safe start and for the first time since beginning her winning streak, headed out to the right.
And so it very nearly all went wrong for Bassadone's team. They rounded the top mark in 10th place with Team Aqua ahead of them in sixth. Another boat or two between them would reverse the World Championship result. As spectators waited to see which way it would swing, approaching the finish line it became apparent that Chris Bake's team had dropped a place while Bassadone's had gained one, allowing Peninsula Petroleum to win the World Championship by just three points.
"I am stunned, very very happy, it is unbelievable. We were hoping for a good result, but we definitely didn't expect to win," admitted Bassadone, adding of his crew: "The guys have sailed very very well. The team is fantastic and our tactician is world-class. We have sailed very solidly and they thoroughly deserved it."
This marks the end of only the second season in the RC44 class for Bassadone. "This is definitely by far my best result in sailing. At the beginning it was a little bit frustrating because we thought we were doing everything more or less right, but were fighting at the back of the pack. It just goes to show that hard work and patience and not getting yourself too down when it doesn't go your way, pays off."
With an outside chance of the regatta going in their favour, Bassadone said that this morning he tried to get the crew to relax and treat today as any other. "When things get a little nervy that is when you start making mistakes. It is such a tight, competitive class that just 3m can mean the difference between first and 10th."
Italian navigator Vasco Vascotto was also ecstatic. "We are very very happy and we realise that we are lucky to win this one event, but this event is the World Championship. Everyone can have a good week, but five firsts and two seconds: that's impressive."
After finishing 12th in yesterday's final race, Igor Lah and the crew of Ceeref today posted a solid 6-3 but letting themselves down in the final race when they were over early. With another 12th, the Slovenian team had to be satisfied with third place overall.
All was by no means was lost for Chris Bake and Team Aqua, who's second place secured them the RC44's 2012 season championship, retaining the unique prize for this – a pair of golden steering wheels for their yacht.
"The Peninsula Petroleum guys were on fire the last two days," admitted Bake. "We couldn't get our upwind sorted out whereas they could and they had the right end of the line every time."
In retrospect, Bake added, he should have got more aggressive in the start of today's second race. Otherwise he acknowledged that it had been another great year. "We are really happy to be the RC44 Tour Champions and are planning to be back next year."
Following their victory in Austria, Torbjorn Tornqvist and his Artemis Racing finished the season tied on points with Gennadi Timchenko's Katusha, after finishing seventh in Rovinj.
"You have to take disappointment and obviously this regatta was not the result we planned for," said Tornqvist. "We are third overall in the championship. We lost on a tie break to Katusha, which if you look at it is not a bad result."
The 2013 RC44 championship starts in February at the new venue for the class of Oman. The full calendar for next year is to be announced shortly.


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Health & Pregnancy
Self-Injury No Longer Rare Among Teens
Nov. 21, 2002 -- For desperate teenagers overwhelmed with emotions that they cannot express, deliberate self-injury is becoming an increasingly popular and dangerous form of self-expression.
A British study of nearly 6,000 students shows that over their lifetime, 13% of 15- and 16-year-olds have carried out an act of deliberate self-harm. Within the past year, an act of deliberate self-harm occurred in about 400 of the students. Only 50 students went to the hospital, which suggests that the problem may be even more widespread. American experts say those numbers aren't surprising, but until now there has been relatively little research on the issue.
The study, which appears in the Nov. 23 issue of the British Medical Journal, was based on a survey conducted in England from fall 2000 to spring 2001.
Wendy Lader, PhD, co-author of the book Bodily Harm, says an estimated 1% of the U.S. population as a whole resorts to physical self-injury to cope with extreme emotional distress, but that rate is much higher among adolescents and females.
Lader says the phenomenon of self-harm has been around forever, but not at the level it is now. She says that not only are people talking about it more but it's also becoming more common as teens search for a new way to rebel and express themselves.
"It's harder for kids to get noticed as individuals, and they don't have the words for it," says Lader, who is also clinical director of the SAFE (Self-Abuse Finally Ends) Alternatives program at Linden Oaks at Edward Hospital in Naperville, Ill. "So they show it -- even if it's just to themselves because it makes it real for them. It's almost like their body becomes a bulletin board on which to notch their pain."
For some, hurting themselves is a form of suicidal behavior. In fact, nearly half of the students surveyed who engaged in the behavior said they had wanted to die. But for others, Lader says self-injury is a survival method.
"It's a coping strategy to deal with intolerable pain, but it works for them so it's a way of surviving," says Lader. But she says there is always the risk that once the method stops working for them, they could commit suicide -- either accidentally or purposefully.


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Creative Labs Australia have just given me some information regarding the new and rather impressive looking Creative Nomad Jukebox 3. This new version of the Nomad, set to be released at the end of May in Australia, will feature 20gb of storage (that's 8000 mp3s!) and feature Firewire support for transferring songs to and from your PC, but coming in at a rather expensive RRP of $999 AU, which would initially seem to be the only down side.
We'll have a review for you at the start of next month.


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Check out Delta Community's new financial home base for young adults!
How many times have you wished you started saving earlier? Well, your kids certainly can do what you wished you would have done. Delta Community Credit Union offers our future leaders a great way to get their personal savings ball rolling and keep it moving with our youth and child savings account. For those a little more financially savvy, we've created Quarterlife, a complete banking program for young adults (or the young at heart).
Open a personal savings account for your child to help save for their future.
Teach your children to manage their own money and the importance of saving.
Whether a Sandy Saver™ or a Cool Cash Kid, your child can have fun saving and learning about finances at Delta Community Credit Union. They'll receive periodic communications from the Credit Union and have access to our epic Ton-o-Cash website to learn all about money through savings adventures. Learn more about the Ton-o-Cash website from our blog post Saving Money is Fun With Cool Cash Kids.
Once your child's savings account is opened, all Sandy Savers and Cool Cash Kids will receive a special welcome package. And to help them celebrate their birthday, they'll get a special birthday message during the month of their birthday.
It's easy. For any child 0-12, just complete the Sandy Savers™ Club Enrollment Form and return it to any one of our local credit union locations along with the $5 membership deposit. Any child, grandchild, sister, brother, niece, nephew or cousin (natural, legally adopted or step) 12 years of age and under of an eligible Delta Community Credit Union member can open a child or youth savings account as long as they have a joint owner. View Delta Community Credit Union membership eligibility. The member to whom the child is related must be a member in good standing with Delta Community Credit Union.
Quarterlife was made for our young adult crowd (high school, college, young professionals and life starters). It's a financial program that serves as a guide, a resource and a complete banking platform to help young adults figure out this whole money thing. And with tons of features, Quarterlife is your financial resource through each stage of your life. Want to start building a credit history? We provide Young Adult Credit Cards with no annual fees and several other financial services that can help you begin a good credit foundation. Contact a Member Care representative to get started with Quarterlife today!
Check out our Savings Tips for Young Members.
*APY=Annual Percentage Yield. Rates subject to change. APY accurate as of first day of current month. $5.00 opening and minimum balance required.


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Massage in Garden City, KS
Massages in Garden City, KS offer therapeutic massages that you can get at a spa or a private place of business. A massage is usually conducted between a masseuse and a client in a private setting. A standard therapeutic massage,like a Swedish massage helps build relaxation awareness while allowing the recipient to fully relax at the same time


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Highs today will reach the mid to upper 80s with a chance for scattered showers and t-storms. Not everyone will get rain, but a quick shower is possible, everything will be very isolated. Today's temps are about ten degrees above average.
Thursday, it will be hot and sunny. Highs are expected to hit the low 90s, the record high is 90, so I think we'll once again be tracking a record breaking temp.
Friday, another chance of rain… then look towards the weekend… that's what I call Fall!


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Check out the latest Beastie Boys video, inventive as ever, for the single "Make Some Noise" off their upcoming album Hot Sauce Committee Part 2. A few weeks back they released a two-minute teaser for a short film (we suspect there's more to come), and today MTV premiered this video. It's full of wild celebrity cameos – look for Seth Rogen, Elijah Wood, Danny McBride, Ted Danson, Jack Black, Will Ferrell, John C. Reilly, Will Arnette, Rainn Wilson and Steve Buscemi (and tell us who else we missed!) Elijah Wood is such a convincing Beastie in this short film, we think someone should get him a Brooklyn-kid role in their next major motion picture.
Beastie Boys Headline Day 1 Of All Points West
New York City's Beastie Boys are set to play the All Points West Music & Arts Festival on Friday, July 31, alongside Q-Tip, The Yeah Yeah Yeahs, The Pharcyde, Organized Konfusion and many more.
With he release of their first vocal album since 2004 Hot Sauce Committee eminent, Ad-Rock commented to Billboard, "it's a lot of vocals, a lot of words — very wordy. And it's political, depending on what you call political. You know, if toilet talk and fart jokes are political, which they can be, in that sense yeah, very."
"Lee Majors Come Again"
B Boys In The Cut (Innerpartysystem Remix)


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Victoria Lynn Spicer of Dover passed away Saturday February 23, 2013 at Kent General Hospital. She was 62.
Mrs. Spicer was born July 3, 1950 in Baltimore, Maryland to the late Kenneth G. Runge and Ruth T. Emge Runge.
She was a homemaker. Mrs. Spicer loved making Teddy Bears which she called "Victoria Bears." When she couldn't make the bears any longer she donated the bears on hand to the hospital.
Mrs. Spicer is survived by her husband of 43 years, George Edward Spicer of Dover; son, Thomas E. Spicer and his wife Laura of Camden, DE; daughter, Ann Spicer-Phillips and her husband Dennis, Sr. of Dover; sisters, Gail Runge-Bowen and her husband Robert, Cynthia Maloy all of Cambridge, MD; grandchildren, Melinda, Hilary, Scotty, Alanna, Tyler, Deanna, Devin, Dennis, Jr., Richard, Adolynn and Katelyn.
Private services will be at a later date.
Letters of condolence may be sent, and guestbook signed at torbertfuneral.com.
Location, ST | website.com


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I am doing my Pediatric clinical right now. I love kids. I really do. I should! I have four. I love my girls but the idea of working with kids scared me more than anything. I don't like seeing a child sick or hurting. The smaller they are, the more scary it is for me. Today went well though. I bonded with my patient pretty quickly. I wore my Spongebob Scrubs (that I absolutely was determined to get). When I walked into my patient's room, he was wearing Spongebob PJ's! I introduced myself and told him my daughters like to call me Sandi Cheeks. haha That was a hit. After that it went pretty well.
My Gabriella is doing well in daycare. She is almost 3 and still not wanting to be potty trained. She tells me as soon as I got home that she "went pee in the potty!" I hope so. It is hard to dedicate the time training her that I need to because of full time Nursing School.
I actually missed my follow up on the 10th with my Oncologist. I had my regular 3 month follow up but because it's so far away and due to my schedule at school I postponed it until October 5th. I have that day off school so it will work out better. I still want to go into Oncology! You know what is weird is going back to being the patient. It feels really different having seen both sides so intently now. I actually miss my doctor and my nurses. They became like a second family to me for a long time. :)
On another note I hit 300 followers today!!! Thank you to all those who read my blog. I am sorry I haven't posted updates as frequently as I should. It's hard when I'm writing papers anyway and studying all the time. I like blogging more!!!
Thursday, September 16, 2010
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This is a post that I wrote for the Altair Innovation Intelligence blog.
I have a grudging respect for Victorian engineers. Isambard Kingdom Brunel, for example, designed bridges, steam ships and railway stations with nothing but intellectual flair, hand-calculations and painstakingly crafted schematics. His notebooks are digitally preserved, and make for fascinating reading for anyone with an interest in the history of engineering.
His notebooks have several characteristics.
Hand calculations mix equations, text and diagrams.
Engineers still use paper for quick calculations and analyses, but how would Brunel have calculated the shape of the Clifton Suspension Bridge or the dimensions of its chain links if he worked today?
If computational support is needed, engineers often choose spreadsheets. They're ubiquitous, and the barrier to entry is low. It's just too easy to fire-up a spreadsheet and do a few simple design calculations.
Spreadsheets are difficult to debug, validate and extend.
Spreadsheets are great at manipulating tabular data. I use them for tracking expenses and budgeting.
However, the very design of spreadsheets encourages the propagation of errors in equation-oriented engineering calculations
For these limitations alone, I doubt if Brunel would have used a spreadsheet.
Technology has now evolved to the point where an engineer can reproduce the design metaphor of Brunel's paper notebooks in software – a freeform mix of calculations, text, drawings and equations in an electronic notebook. A number of these tools are available (including Maple, available via the APA website).
Modern calculation tools reproduce the design metaphor of hand calculations.
Additionally, these modern software tools can do math that is improbably difficult to do by hand (for example, FFTs, matrix computation and optimization) and connect to CAD packages.
For example, Brunel could have designed the chain links on the Clifton Suspension Bridge, and updated the dimensions of a CAD diagram, while still maintaining the readability of hand calculations, all from the same electronic notebook.
That seems like a smarter choice.
Would I go back to the physical notebooks that Brunel diligently filled with hand calculations? Given the scrawl that I call my handwriting, probably not.
Since we're almost at the end of the year, I thought it would be interesting to look back at our most popular webinars for academics in 2015. I found that they fell into one of two categories: live streaming webinars featuring Dr. Robert Lopez and Maple how-to tutorials. (If you missed the live presentation, you can watch the recordings of all these webinars below.)
The first and second most popular webinar were, unsurprisingly, both of the live streaming webinars that featured Dr. Robert Lopez (Emeritus Professor at Rose Hulman Institute of Technology and Maple Fellow at Maplesoft). These webinars were streamed live to an audience and allowed many people to get their first glimpse of the man behind the Clickable Calculus series and Teaching Concepts with Maple:
1. Eigenpairs Enlivened
In this webinar, Dr. Robert Lopez demonstrates how Maple can enhance the task of teaching the eigenpair concept, and shows how Maple bridges the gap between the concept and the algorithms by which students are expected to practice finding eigenpairs.
2. Resequencing Concepts and Skills via Maple's Clickable
In this webinar, Dr. Lopez presents examples of what "resequencing" looks like when implemented with Maple's point-and-click syntax-free paradigm. Not only can Maple be used to elucidate the concept, but in addition, it can be used to illustrate and implement the manipulations that ultimately the student must master.
The next three were all brief webinars on how to complete specific tasks in Maple 2015. Just under a dozen of these were created in 2015 and they were all quite popular, but these three stood out above the rest:
3. Working with Data Sets in Maple
This video walks through examples of working with several types of data in Maple, including visualizing stock and commodity data, forecasting future temperatures using weather data, and analyzing macroeconomic data, such as employment statistics, GDP and other economic indicators.
4. Custom Color Schemes in Maple
This webinar provides an overview of the colorscheme option for coloring surfaces, curves and collections of points in Maple, including how to color with gradients, according to function value or point position. Examples of how the colorscheme option is used with various commands from the Maple library are also demonstrated.
5. Working with Units in Maple
Maple 2015 allows for more fluid and natural interaction with units. This webinar provides an overview of the new unit formatting controls and new Temperature object, and demonstrates how to compute with units and tolerances.
Are there any topics you'd like to see Robert cover in upcoming webinars? Or, any Maple how-to videos you think would be a helpful addition to our library? Let us know in the comments below!
As an Arts major at the University of Waterloo, my first day as a co-op student in the Maplesoft marketing department was a bit of a blur. I was hearing a lot of mathematical jargon that I did not understand. Other than a mandatory statistics class in my second year at university, I haven't taken a math course since high school, over two years ago. I spent my first week as the marketing assistant educating myself about the basics of marketing complex math software. My favourite method for doing this was to read through the Maplesoft user stories. As I read, I was amazed by the variety of customers and the endless applications that Maplesoft products had contributed to. It became apparent that math is a part of every industry and it is in the design of many products. There were a few stories from the robotics industry in particular that really sparked my interest in the software that I now market.
We've all seen the futuristic movies where robots gradually get smarter and smarter, developing enough intelligence to control the human race, and eventually, take over the world. As it turns out, Engineered Arts, a UK robotics company, is bringing us one step closer to that reality. Well… they're maybe not ready for world domination just yet, but they are working on one of the most advanced and human-like robots that the world has seen outside of a Hollywood production, and they are doing this using MapleSim. The first generation of the biologically inspired robot was named RoboThespian. With his ability to speak and sing, he was used to educate, entertain, and investigate new developments in robotics. However, he was largely static. That's when the engineers began work on generation two of their robot, named Byrun, who has the ability to walk, run, jump, and hop as well as speak and sing. Byrun can even express thousands of different facial features thanks to his projective head display. This makes him even more human-like; scary or cool? I'm thinking a bit of both. If you're interested in the story, click here to continue reading about it.
Another unexpected use of MapleSim was adopted as a joint research project between Ryerson University and McMaster University. I never would have guessed that math software could be applied to the process of human birth. Nevertheless, a group of researchers used MapleSim to simulate induced labour with a Foley Catheter. In short, this is when a small balloon is inserted through the opening of the cervix creating a downward pressure that effectively tricks the cervix into opening for labour to begin. Though the application of this story surprised me, it makes a lot of sense to use modelling software for a research project like this. It's more efficient to get all of the kinks out of the virtual model in a simulation program before building a physical model that could end up being dysfunctional. According to Dr. James Andrew Smith, a Biomedical Engineering researcher and Assistant Professor in Electrical and Computer Engineering, who is the lead researcher on the project, "Modern engineering has a lot to offer the medical world," especially when it saves on time and cost. Click here to read more about this story and to watch a video of the finished model.
After two months at Maplesoft, I have noticed that I don't look at things in the same way that I used to. I find myself staring at a toaster and imagining how it was designed. Did the engineers use advanced physical simulation and modeling software to make the most efficient toaster possible? Well, if it can still only toast on one side then, my guess is no! Maplesoft has many more user stories that I haven't had the chance to read yet. With customers ranging from BMW to Pixar, Maplesoft continues to expand its customer base and adapt its software to support more and more unique applications. I can't wait to hear what new and unexpected things will be done with the software next!
Here at Maplesoft, we like to foster innovation in technological development. Whether that is finding solutions to global warming, making medical discoveries that save millions, or introducing society to very advanced functional robots, Maplesoft is happy to contribute, support and encourage innovative people and organizations researching these complex topics. This year, we are delighted to have sponsored two contests in the robotics field that provide opportunities to think big and make an impact: Create the Future Design Contest and the International Space Apps Challenge.
Create the Future Design Contest
Established in 2002, and organized by TechBriefs, the goal of the Create the Future Design Contest is to help engineers bring their product design ideas to life. The overall 'mission of the contest is to benefit humanity, the environment, and the economy.' This year, there were a record 1,159 new product ideas submitted by students, engineers, and entrepreneurs from all over the globe. In the machinery/automation/robotics category, which Maplesoft sponsored, the project with the top votes was designed by two engineers who chose to name their innovation CAP Exoskeleton, a type of assistive robotic machine designed to aid the user in walking, squatting, and carrying heavy loads over considerable distances. It can either be used to enhance physical endurance for military purposes or to help the physically impaired perform daily tasks. A contest like Create the Future is a perfect opportunity, for engineers in particular, to learn, explore, and create.
The CAP Exoskeleton - ©2015 Create the Future Design Contest
International Space Apps Challenge
The exploration of space has always been unique in its search for knowledge. The International Space Apps Challenge, a NASA incubator innovation program, is an 'international mass collaboration focused on space exploration that takes place over 48-hours in cities around the world'. It is a unique global competition where people rally together to find solutions to real world problems, bringing humanity closer to understanding the Earth, the universe, the human race, and robotics. These goals, the organizers believe, can be reached much faster if we combine the power of the seven billion or so brains that occupy the planet, not forgetting the six that are currently orbiting above us aboard the International Space Station. The competition is open to people of all ages and in all fields, including engineers, technologists, scientists, designers, artists, educators, students, entrepreneurs, and so on. With an astounding 13,846 participants from all over the world, several highly innovative solutions were presented.
Maplesoft sponsored the University of York location in the UK where the winning team of five modeled an app called CropOp, a communication tool that connects the government to local farmers with the goal of providing instantaneous, crucial information regarding pest breakout warnings, extreme weather, and other important updates. This UK-based team believes the quality and quantity of food produced will be improved, especially benefiting the undernourished communities in Africa. Maplesoft supports the Space Apps Challenge because it proves that collaboration makes for bigger and better discoveries that can save millions of people.
Donating Maplesoft software for contestants to use is part of the sponsorship. The real delight is to wait and see what innovative concepts they come up with. When we sponsor contests like these, we find it benefits our software as much as it does the participants. Plus, if the contestants can provide solutions to real world issues, well, that benefits everyone!
I have two linear algebra texts [1, 2] with examples of the process of constructing the transition matrix that brings a matrix to its Jordan form . In each, the authors make what seems to be arbitrary selections of basis vectors via processes that do not seem algorithmic. So recently, while looking at some other calculations in linear algebra, I decided to revisit these calculations in as orderly a way as possible.
First, I needed a matrix with a prescribed Jordan form. Actually, I started with a Jordan form, and then constructed via a similarity transform on . To avoid introducing fractions, I sought transition matrices with determinant 1.
Let's begin with , obtained with Maple's JordanBlockMatrix command.
Tools_Load Package: Linear Algebra
Loading LinearAlgebra
The eigenvalue has algebraic multiplicity 6. There are sub-blocks of size 3×3, 2×2, and 1×1. Consequently, there will be three eigenvectors, supporting chains of generalized eigenvectors having total lengths 3, 2, and 1. Before delving further into structural theory, we next find a transition matrix with which to fabricate .
The following code generates random 6×6 matrices of determinant 1, and with integer entries in the interval . For each, the matrix is computed. From these candidates, one is then chosen.
After several such trials, the matrix was chosen as
for which the characteristic and minimal polynomials are
So, if we had started with just , we'd now know that the algebraic multiplicity of its one eigenvalue is 6, and there is at least one 3×3 sub-block in the Jordan form. We would not know if the other sub-blocks were all 1×1, or a 1×1 and a 2×2, or another 3×3. Here is where some additional theory must be invoked.
The null spaces of the matrices are nested: , as depicted in Figure 1, where the vectors , are basis vectors.
Figure 1 The nesting of the null spaces
The vectors are eigenvectors, and form a basis for the eigenspace . The vectors , form a basis for the subspace , and the vectors , for a basis for the space , but the vectors are not yet the generalized eigenvectors. The vector must be replaced with a vector that lies in but is not in . Once such a vector is found, then can be replaced with the generalized eigenvector , and can be replaced with . The vectors are then said to form a chain, with being the eigenvector, and and being the generalized eigenvectors.
If we could carry out these steps, we'd be in the state depicted in Figure 2.
Figure 2 The null spaces with the longest chain determined
Next, basis vector is to be replaced with , a vector in but not in , and linearly independent of . If such a is found, then is replaced with the generalized eigenvector . The vectors and would form a second chain, with as the eigenvector, and as the generalized eigenvector.
Define the matrix by the Maple calculation
and note
The dimension of is 3, and of , 5. However, the basis vectors Maple has chosen for do not include the exact basis vectors chosen for .
We now come to the crucial step, finding , a vector in that is not in (and consequently, not in either). The examples in are simple enough that the authors can "guess" at the vector to be taken as . What we will do is take an arbitrary vector in and project it onto the 5-dimensional subspace , and take the orthogonal complement as .
A general vector in is
A matrix that projects onto is
The orthogonal complement of the projection of Z onto is then . This vector can be simplified by choosing the parameters in Z appropriately. The result is taken as .
The other two members of this chain are then
A general vector in is a linear combination of the five vectors that span the null space of , namely, the vectors in the list . We obtain this vector as
A vector in that is not in is the orthogonal complement of the projection of ZZ onto the space spanned by the eigenvectors spanning and the vector . This projection matrix is
The orthogonal complement of ZZ, taken as , is then
Replace the vector with , obtained as
The columns of the transition matrix can be taken as the vectors , and the eigenvector . Hence, is the matrix
Proof that this matrix indeed sends to its Jordan form consists in the calculation
The bases for , are not unique. The columns of the matrix provide one set of basis vectors, but the columns of the transition matrix generated by Maple, shown below, provide another.
I've therefore added to my to-do list the investigation into Maple's algorithm for determining an appropriate set of basis vectors that will support the Jordan form of a matrix.
[1] Linear Algebra and Matrix Theory, Evar Nering, John Wiley and Sons, Inc., 1963
[2] Matrix Methods: An Introduction, Richard Bronson, Academic Press, 1969
Download JordanForm_blog.mw
Like most companies today, Maplesoft monitors its website traffic, including the traffic coming to MaplePrimes. This allows us to view statistical data such as how many total visits MaplePrimes gets, how many unique visitors it gets, what countries these visitors come from, how many questions are asked and answered, how many people read but never respond to posts, etc.
Recently one of our regular MaplePrimes users made the comment that MaplePrimes does not reach new Maple users. We found this comment interesting because our data and traffic numbers show a different trend. MaplePrimes gets unique visitors in the hundreds of thousands each year, and since its inception, it has welcomed unique visitors in the many millions. Based on these unique visitor numbers and the thousands of common searches specifically about Maple that people are doing, we can see that many of these unique visitors are in fact new Maple users looking for resources and support as they begin using Maple. Other visitors to MaplePrimes include people who use Google (or other search engines) to find an answer to a particular mathematics or engineering question, regardless of what mathematics software they choose to use, and Google points them to MaplePrimes. There are some popular posts that were written months, even years ago, that are still getting high visitor views today, showing the longevity of the information on MaplePrimes.
MaplePrimes gets the majority of its visible activity from a small number of extremely active members. In public user forums around the world, these types of members are given many names – power users, friendlies, evangelists. Every active public user forum has them. On MaplePrimes, it's this small number of active members that are highly visible. But, what our traffic data reveals is the silent majority. These people, many of them repeat visitors, are quietly reviewing the questions and answers that our evangelists are posting. The silent majority of MaplePrimes visitors are the readers; they are the quiet consumers of information. For every person that writes, comments on, or likes a post, there are thousands more that read it.
Here are a few more MaplePrimes traffic data points for your reference:
The engineering design process involves numerous steps that allow the engineer to reach his/her final design objectives to the best of his/her ability. This process is akin to creating a fine sculpture or a great painting where different approaches are explored and tested, then either adopted or abandoned in favor of better or more developed and fine-tuned ones. Consider the x-ray of an oil painting. X-rays of the works of master artists reveal the thought and creative processes of their minds as they complete the work. I am sure that some colleagues may disagree with the comparison of our modern engineering designs to art masterpieces, but let me ask you to explore the innovations and their brilliant forms, and maybe you will agree with me even a little bit.
Design Process
Successful design engineers must have the very best craft, knowledge and experience to generate work that is truly worthy of being incorporated in products that sell in the tens, or even hundreds, of millions. This is presently achieved by having cross-functional teams of engineers work on a design, allowing cross checking and several rounds of reviews, followed by multiple prototypes and exhaustive preproduction testing until the team reaches a collective conclusion that "we have a design." This is then followed by the final design review and release of the product. This necessary and vital approach is clearly a time consuming and costly process. Over the years I have asked myself several times, "Did I explore every single detail of the design fully"? "Am I sure that this is the very best I can do?" And more importantly, "Does every component have the most fine-tuned value to render the best performance possible?" And invariably I am left with a bit of doubt. That brings me to a tool that has helped me in this regard.
A Great New Tool
I have used Maple for over 25 years to dig deeply into my designs and understand the interplay between a given set of parameters and the performance of the particular circuit I am working on. This has always given me a complete view of the problem at hand and solidly pointed me in the direction of the best possible solutions.
In recent years, a new feature called "Explore" has been added to Maple. This amazing feature allows the engineer/researcher to peer very deeply into any formula and explore the interaction of EVERY variable in the formula.
Take for example the losses in the control MOSFET in a synchronous buck converter. In order to minimize these losses and maximize the power conversion efficiency, the most suitable MOSFET must be selected. With thousands of these devices being available in the market, a dozen of them are considered very close to the best at any given time. The real question then is, which one is really the very best amongst all of them?
There are two possible approaches - one, build an application prototype, test a random sample of each and choose the one that gives you the best efficiency. Or, use an accurate mathematical model to calculate the losses of each and chose the best. The first approach lacks the variability of each parameter due to the six sigma statistical distribution where it is next to impossible to get a device laying on the outer limits of the distribution. That leaves the mathematical model approach. If you take this route, you can have built-in tolerances in the equations to accommodate all the variabilities and use a simplified equation for the control MOSFET losses (clearly you can use a very detailed model should you chose to) to explore these losses. Luckily you can explore the losses using the Explore function in Maple.
The figure below shows a three dimensional plot, plus five other variables in the formula that the user can change using sliders that cover the range of values of interest including Minima and Maxima, while observing in real time the effects of the change on the power loss.
This means that by changing the values of any set of variables, you can observe their effect on the function. To put it simply, this single feature helps you replace dozens of plots with just one, saving you precious time and cost in fine-tuning your design. In my opinion, this is equivalent to an eight-dimensional/axes plot.
I used this amazing feature in the last few weeks and I was delighted at how simple it is to use and how much it simplifies the study of my approach and my components selection, in record times!
This October 21st, Maplesoft will be hosting a full-production, live streaming webinar featuring Dr. Robert Lopez, Emeritus Professor and Maple Fellow. You might have caught Dr. Lopez's Clickable Calculus webinar series before, but this webinar is your chance to meet the man behind the voice and watch him use Clickable Math techniques live!
In this webinar, Dr. Lopez will present examples of what "resequencing concepts and skills" looks like when implemented with Maple's point-and-click syntax-free paradigm. He will demonstrate how Maple can not only be used to elucidate the concept, but also, how it can be used to illustrate and implement the manipulations that ultimately the student must master.
Click here for more information and registration.
A wealth of knowledge is on display in MaplePrimes as our contributors share their expertise and step up to answer others' queries. This post picks out one such response and further elucidates the answers to the posted question. I hope these explanations appeal to those of our readers who might not be familiar with the techniques embedded in the original responses.
Before I begin, a quick note that the content below was primarily created by one of our summer interns, Pia, with guidance and advice from me.
The Question: Rearranging the expression of equations
SY G wanted to be able to re-write an equation in terms of different variables. SY G presented this example:
I have the following two equations:
x1 = a-y1-d*y2;x2 = a-y2-d*y1;
I wish to express the first equation in terms of y1 and x2, so that
x1 = c - b*y1+d*x2;
where c=a-a*d and b=1-d^2. How can I get Maple to rearrange the original equation x1 in term of y1, x2, c and b?
This question was answered by nm who provided code with a systematic approach:
On the other hand, Carl Love answered this enquiry using a more direct and simple code:
simplify(x1=a-y1-d*y2, {a-y2-d*y1= x2, 1-d^2= b, a-a*d= c});
Let's talk more about the expand, algsubs, subs, and simplify commands
First let's take a look at the method nm used to solve the problem using the commands expand, subs, solve and algsubs.
The expand command, expand(expr, expr1, expr2, ..., exprn), distributes products over sums. This is done for all polynomials. For quotients of polynomials, only sums in the numerator are expanded; products and powers are left alone.
The solve command, solve(equations, variables), solves one or more equations or inequalities for their unknowns.
The subs command, subs(x=a,expr), substitutes a for x in the expression expr.
The function algsubs, algsubs(a = b, f),performs an algebraic substitution, replacing occurrences of a with b in the expression f. It is a generalization of the subs command, which only handles syntactic substitution.
Let's tackle the Maple code written by nm step by step:
1) restart; The restart command is used to clear Maple's internal memory
2) eq1:=x1=a-y1-d*y2: eq2:=x2=a-y2-d*y1: The names eq1 and eq2 were assigned to the equations SY G provided.
3) z:=expand(subs(y2=solve(eq2,y2),eq1)): A new variable, z, was created, which will end up being x1 written in the terms SY G wanted.
4) z:=algsubs((a-a*d)=c,z): First, nm equated a-a*d to c, so later the algsubs command could be applied to substitute the new variable c into the expression z.
5) algsubs((1-d^2)=b,z); Again, nm equated 1-d^2 to b, so later the algsubs command could be applied to substitute the new variable b into the expression z.
An alternate approach
Now let us check out Carl Love's approach. Carl Love uses the simplify command in conjunction with side relations.
The simplify command has many calling sequences and one of them is the simplify(expr,eqns), that is known as simplify/siderels. A simplification of expr with respect to the side relations eqns is performed. The result is an expression which is mathematically equivalent toexpr but which is in normal form with respect to the specified side relations. Basically you are telling Maple to simplify the expression (expr) using the parameters (eqns) you gave to it.
I hope that you find this useful. If there is a particular question on MaplePrimes that you would like further explained, please let me know.
We are happy to announce that Maple T.A. now supports the Learning Tools Interoperability® (LTI) standard, which means that Maple T.A. can be easily integrated with course management systems that support LTI. Maplesoft officially supports LTI connectivity with Canvas, Blackboard Learn™, Brightspace™, Moodle™, and Sakai.
Using the LTI standard, you can integrate Maple T.A. directly into your existing course management or learning management platforms. This allows for single-sign on in one central location and Maple T.A. assignment delivery and grade pushing right inside of your existing solutions.
If you would like to use the LTI connectivity feature, please contact Maplesoft Technical Support at firstname.lastname@example.com. They will provide the instructions and files you need to set up your connection, and answer any questions you may have about how the integration works on your platform.
Jonny Maplesoft Product Manager, Maple T.A.
The Question: Source Code of Math Apps
Eberch, a new Maple user, was interested in learning how to build his own Math Apps by looking at the source code of some of the already existing Math Apps that Maple offers.
Acer helpfully suggested that he look into the Startup Code of a Math App, in order to see definitions of procedures, modules, etc. He also recommended Eberch take a look at the "action code" that most of the Math Apps have which consist of function calls to procedures or modules defined in the Startup Code. The Startup Code can be accessed from the Edit menu. The function calls can be seen by right-clicking on the relevant component and selecting Edit Click Action.
Acer's answer is correct and helpful. But for those just learning Maple, I wanted to provide some additional explanation.
Let's talk more about building your own Math Apps
Building your own Math Apps can seem like something that involves complicated code and rare commands, but Daniel Skoog perfectly portrays an easy and straightforward method to do this in his latest webinar. He provides a clear definition of a Math App, a step-by-step approach to creating a Math App using the explore and quiz commands, and ways to share your applications with the Maple community. It is highly recommended that you watch the entire webinar if you would like to learn more about the core concepts of working with Maple, but you can find the Math App information starting at the 33:00 mark.
MaplePrimes member Thomas Dean wanted 1/2*x^(1/2) + 1/13*x^(1/3) + 1/26*x^(45/37) to become 0.5*x^0.500000 + 0.07692307692*x^0.333333 + 0.03846153846*x^1.216216216 using the evalf command.
Here you can see the piece of code that Thomas Dean wrote in Maple:
eq:=1/2*x^(1/2) + 1/13*x^(1/3) + 1/26*x^(45/37); evalf(eq);
Carl Love replied simply and effectively with a piece of code, using the evalindets command instead:
evalindets(eq, fraction, evalf);
As always, Love provided an accurate response, and it is absolutely correct. But for those just learning Maple, I wanted to provide some additional explanation.
The evalindets command, evalindets( expr, atype, transformer, rest ), is a particular combination of calls to eval and indets that allows you to efficiently transform all subexpressions of a given type by some algorithm. It encapsulates a common "pattern" used in expression manipulation and transformation.
Each subexpression of type atype is transformed by the supplied transformer procedure. Then, each subexpression is replaced in the original expression, using eval, with the corresponding transformed expression.
Note: the parameter restis an optional expression sequence of extra arguments to be passed to transformer. In this example it was not used.
Here are some tips and tricks - ranging from keyboard shortcuts to the newest features - that will help you get the most out of MapleSim 2015.
I hope you find these useful! Do you have any tips that you would add to this list?
The first instalment in the Hollywood Math webinar series will be returning live this September 17th! It will be presented by Daniel Skoog, our Maple Product Manager.
Over its storied and intriguing history, Hollywood has entertained us with many mathematical moments in film. John Nash in "A Beautiful Mind," the brilliant janitor in "Good Will Hunting," the number theory genius in "Pi," and even Abbott and Costello are just a few of the Hollywood "mathematicians" that come to mind.
During this webinar we will present a number of examples of mathematics in film, including those done capably, as well as questionable and downright "creative" treatments. See relevant, exciting examples that you can use to engage your students, or attend this webinar simply for its entertainment value. Have you ever wondered if the bus could really have jumped the gap in "Speed?" We've got the answer! Anyone with an interest in mathematics, especially high school and early college math educators, will be both entertained and informed by attending this webinar.
To join us for the live presentation, click here to register.
The Question: why is 2*cos(x)^2-1 simpler than 1-2*sin(x)^2
The author, nm, asked why 2*cos(x)^2-1 was simpler than 1-2*sin(x)^2 according to Maple. nm wrote:
I looked at help trying to understand why Maple thinks 2*cos(x)^2-1 is simpler than 1-2*sin(x)^2 but did not see it. I was expecting to see cos(2*x) as a result.
Preben Alsholm answered nm's question by recommending the use of the combine command to obtain the result he was expecting to see, as well as a further explanation on how the simplify command works. Alsholm wrote:
Use combine to obtain what you want: combine(1-2*sin(x)^2); simplify has a general preference for cos over sin. That doesn't mean however, that it turns sin into cos at all costs: simplify(sin(x)); ##Try also simplify(1-2*sin(x)^2,size); simplify doesn't necessarily get you the simplest result in the common sense of the word 'simplify'. Try as another example expand((x+y)^3); simplify(%); factor(%);
As always, Alsholm provided an accurate, thoughtful response. But for those just learning Maple, I thought some additional explanation could be helpful.
Let's talk more about the simplify command and combine function
The simplify command applies simplification rules to an expression. Its parameters can be any expression.
The combine function applies transformations which combine terms in sums, products, and powers into a single term. For many functions, the transformations applied by combine are the inverse of the transformations that are applied by expand. For example, consider the well-known identity:
sin(a + b) = sin(a) cos(b) + cos(a) sin(b)
The combine function applies the identity from right to left, whereas the expand function does the reverse.
I hope that you find this useful. If there is a particular question on MaplePrimes that you would like further explained, please feel free to contact me.
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we have severals domains, with their corresponding servers hosted on linux (ubuntu).
sendmail lets you send emails, allowing for changing of the envelope. Here a simple example - which works with no extra settings:
sendmail -f firstname.lastname@example.com -t email@example.com
is there a way to stop others from using any email adresses registered with our domains?


text:
Mary Wehr has always been an avid reader of romance novels and dreamed of someday writing one of her own. After years of dreaming about it, she finally did it.
She lives in northeastern Pennsylvania with her husband, pet dove, and guinea pig. She has one grown daughter.
Mary has a soft spot for animals and works part time at a doggie bakery, making treats for our four-legged friends. She's a nature lover and when the weather is warm she can most often be found outdoors.
You can find Mary at the following places:
Website: http://marysuewehr.com/
Facebook: https://www.facebook.com/mary.wehr.7


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Tough Rules at Novartis
Maybe it's a buying opprtunity, Novartis CEO Joe Jimenez laughingly suggested after the pharma stock plunged almost three per cent on the company's fourth quarter figures that showed a 2% drop in net profit.
He said the stock's alarming fall was probably due to the market's failure to pencil in costs linked to the restructuring of its U.S. sales force and a revamp of its German generics business.
But these efforts will help Novartis going forward, Jimenez said, as the company hopes to face up to the tough industry environment with equally tough internal measures.
The market hailed Jimenez's appointment last year as a clear sign that the former Heinz & Co executive will focus on costs.
His decision last year to make redundancies at Novartis's U.S. headquarters and slash the U.S. sales force ahead of the patent expiry of heart drug Diovan and cancer medicine Femara have been considered typical of his management style.
Hence, Novartis's aim to grow profit margins this year, as it faces two major patent losses, is testimony that cost reductions will continue. Even though Novartis doesn't plan a major overhaul, the company will decide where to place the knife on a case by case basis. Without much hype the company has been able to reduce procurement costs by about $1 billion, Jimenez said. And he remains on the lookout for opportunities to erase overherads.
But as tough as Jimenez is on costs, he's as unrelenting when it comes to growth. By spending some 20% of its annual sales on research and development, Novartis is among the industry's top drug developers. In 2010 Novartis launched 13 major drugs–among them is multiple sclerosis pill Gilenya that is set to shake up the $10 billion MS market–and submitted 16 drugs for approval.
While such a high figure is rare among big drug makers, Jimenez said that he would be disappointed if that number didn't increase over time, reflecting his determination to keep the pressure on his staff–be they salesmen or scientists–to perform and improve.
His goal to generate sales growth, even as the company faces generic competiton on some $7 billion in drug sales that have previously been patent-protected, shows that Jimenez is ready to wage a hard two-front war and not just opt for cost cutting and cosmetic changes.
Should he succeed, today's stock price dip may indeed prove a buying opportunity.


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Ive been divorced for about two years now and my ex-wife has not filed for chid support as of yet.I will be recieving a inheritance of about $120,000 very soon. My question is, if my ex-wife files before i recieve my inheritance what if anything is she intitled to? And if she is intitled, how would it be paid,a monthly payment or a lump sum? We live in Delaware and have three kids 10,6 and 3 years old
Child support/inheritance
Started by stinkdogg_80 , Nov 13 2012 02:36 PM
2 replies to this topic
Posted 13 November 2012 - 02:36 PM
Posted 14 November 2012 - 08:10 AM
Child support is based primarily on the parents' incomes, as well as other factors. Since you will have an extra $120k in income in the year that you receive the expected inheritance, the court may take that into account -- either by awarding a lump sum percentage or by increasing your obligation for that particular year. Consult with local counsel.
#3 Guest_FindLaw_Amir_*
Posted 14 November 2012 - 09:16 AM
To learn more about this subject matter, you may wish to visit the Family Law Center: Child Support and read Child Support Amounts as a good resource. I also suggest you consult with a local Family Law Lawyer for further clarification.
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Tourists and long-time Medellin residents alike can be forgiven for overlooking this tiny Colombian restaurant. Tucked away on a quiet street in Zona Fucsia, with no visible signage, El Chef looks like any other small business on the street, with nothing but the blue paint to distinguish it from its neighbors; a bookstore, an independent theater group and the El Tunel cafe on the other side. The door of the restaurant is papered with notices of upcoming plays, concerts and local events. A small chalkboard hangs outside during open hours to advertise the daily specials.
El Chef is contained within this tiny two-story blue and white storefront. Most of the first floor is taken up by the open kitchen. Just three small tables comprise the remainder of the restaurant, two of these tables nestled in a small alcove upstairs. For people looking for authentic Antioquia cuisine, El Chef is the premier destination. For these privileged visitors, the tiny restaurant is just part of the quaint charms of a restaurant that bucks the trend for big name chains and price-gouging entrees in the more upscale neighborhoods of Enviagado and El Poblado.
Al fresca dining, weather permitting
This charm and genuineness were in full force on my most recent visit. Juan, who is "El Chef" runs the restaurant with the help of his wife. On a tranquil and beautiful Sunday, El Chef was placing several tables outside on the narrow sidewalks lining Carrera 42, while roasting several meats on an outside grill. The tantalizing aroma was stomach-growl inducing as we approached the small side street.
Rows of fresh made sausages hung from a line strung across the restaurant. Fully cooked, these sausages are popular with the locals as a snack or take-away item. Spicy, yet sweet, the secret ingredients are part of what keeps my companions returning again and again to El Chef.
Loyal, long-time, returning customers
These long time customers are hesitant to provide information about their experiences at El Chef. They worry that any publicity might change the restaurant and it's proprietor. They worry about a loss of dining intimacy should outsiders claim El Chef as their own. They love the restaurant for the made-to-order cuisine, the personalized menus and the conversational banter with Juan and his wife.
Mr. "El Chef"
Juan the owner, and chef of the restaurant, is open, kind and genuine in a way we don't always associate with food service. Having a meal with El Chef is like being invited inside the kitchen of close friends, especially if it's a repeat visit. He knows his patrons, and spends time talking to them on a personal level before making his recommendations. Since his restaurant is frequently patronized by a close group of foreign journalists from several countries, he often makes the effort to find out more about their home cuisine and incorporate small touches into some of the meals. One such journalist, a prominent Dutchman who has been in Medellin for close to a decade, invites me to eat one of these fusion meals: a spicy sausage infused burger which manages to capture my American comfort food needs while expanding my palate to embrace something uniquely Medellin.
The Food
You won't find "bandeja paisa" here; the enormous plates of beans, pork and meat that are considered the 'typical' cuisine of the Antioquia region. But you will find plenty of hearty, savory and flavorful combinations of both Colombian cuisine and fusion dishes.
During several visits, we eat more traditional Colombian food; tender meat with a delicate basil sauce, accompanied by golden baby potatoes, traditional style corn rolls, the savory fresh sausage and salad. Or a delicate pasta dish flavored with native spices and vegetables, and served with an appetizer of homemade spreads and jams. Spicy sweet pork ribs, a tangy salad and pepper fries. Traditional soups pared with updated classics.
After eating there on several occasions, I can say the food is nothing less than excellent. Prices are reasonable and the service is personal in comfortable, if cozy surroundings. Due to the small size of this establishment, it would not be suitable for large groups or parties.
El Chef is located on Carrera 42, #54 – 60, Medellin. Look for a blue and white storefront. Hours vary; but El Chef is usually open from noon until 11 pm.


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WHWH Suzhou
- Location: Guanqian Street
- Address: No.210 Daoqian Street, Canglang District, Suzhou
- Tel: 0512-65129555 (Book this hotel, call 800-2682918)
- Hotel Name in Chinese: 万好万家快捷酒店(苏州店)
- Lowest Price: $18
Opened in 2008, the WHWH Suzhou is a garden style hotel located near the fourishing walking street- Guanqian street, close to food street and Panme Scenic and it is 3km away from Suzhou Railway Station.
The WHWH Suzhou offers a total of 80 guest rooms, including single room, standard room and family room, etc. All rooms are provided with 24 hour hot water, free broadband internet access and IDD/DDD phone and so on. As for dining service, there is a Chinese restaurant in the hotel. Other facilities in the hotel include wireless internet area, meeting room and parking lot, etc. Apart from these, the WHWH Suzhou also provides ticket booking and laundry service and so on.
- Prices not include 18% service fee and tax.
- Payment Method: pay using our secure online payment service or pay at the hotel at some hotels.
- Triple/quad occupancy may require an extra bed at extra cost.
Hotel Amenities
|Hotel Services
|Luggage service, Wake Up Call, 24hr Reception, Copy Service
|Room Amenities
|Air conditioning, Alarm clock, Color Television, Telephone, Bath and Shower, Free for Internet
Hotel Amenities: Parking, Air-Conditioned Facilities, Beauty Salon, Meeting Room, Deposit Box at Front Desk, Fire Detector
Dining Facilities: Chinese Restaurant
Print the Taxi Directions
- Please drive me to WHWH Suzhou, thank you!
- 请送我到万好万家快捷酒店(苏州店) ,谢谢
- Address: No.210 Daoqian Street, Canglang District, Suzhou
- 地址: 苏州 沧浪区 道前街210号
- Tel: 0512-65129555
Similar Hotels as WHWH Suzhou
Shantang Home Stry Business Hotel
Location: Suzhou Railway Station
From: $ 18
Pod Inn Suzhou Shilu
Location: Guanqian Street
From: $ 19
Motel 168 Suzhou Pingqi Road
Location: Suzhou Railway Station
From: $ 20
Check out the list of all 126 hotels in Suzhou


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Energy Sistem EP212 In Ear Monitor Earphones
" Comparing the new Energy Sistem E214 vs SoundMagic PL-30 vs Meelectronics M6-Clear (Westone UM3x also commented on) According to the company's website, this new IEM comes in various colors. The Black model is the E212, Blue is the E214 and so on. All the Energy Sistem models in this line look to have the same components, just made with different color bodies, and different colored..." --willyc32
Genius GHP-i200 20Hz~20KHz Earbud Headphones
Genius GHP-i200 Stylish In-Earphones for iPod. Excellent Sound Performance in a Stylish Design. The stylish GHP-i200 in-earphones from Genius provide the most comfortable wearing comfort with three sizes of ear cushions. Featured with a miniaturized, advanced-technology 9mm driver, GHP-i200 delivers an immersive listening experience while jogging, exercising, or taking a trip. GHP-i200 delivers...


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2000 Building
Governor's Scholarship Program - Golden State ScholarShare
If you have been awarded a California Governor's Scholars Award or a Governor's Math and Science Award (aka, Golden State ScholarShare scholarship), congratulations on your achievement! If you want to use it at Fullerton College and don't know what to do next, you have come to the right place. Here are your options:
Option One
Complete a qualified withdrawal form* and mail it to the address indicated on the form. Do not mail it to Fullerton College . Click HERE to get the form.
*In Section 2 of the withdrawal form, please have the check made payable to Fullerton College and sent to the attention of the Bursar's Office at 321 E. Chapman Ave., Fullerton, CA 92832.
It generally takes about three weeks from the day you mail your withdrawal form to receive your scholarship funds from Golden State ScholarShare, but it can take longer, so be sure to allow plenty of time. Once we have received your scholarship money, you can use it to pay for enrollment and optional fees when you register for classes. You can also allocate all or a portion of your ScholarShare funds to use at the Fullerton College Bookstore for textbooks and class supplies. Conditions and restrictions apply, so please contact John Miller in the Bursar's Office for details.
In addition, you can be reimbursed from your ScholarShare funds for paid registration fees from previous semesters. If you bought textbooks and supplies for your classes (even from an off-campus source), you can be reimbursed for those too, but you must provide original receipts to the Bursar's Office. Sorry, Fullerton College does not reimburse for room, board, and transportation. See John in the Bursar's Office to process your reimbursement or for more information.
Your scholarship is available to you year round, and upon written request, any remaining funds will be returned to the Golden State ScholarShare Program for use at another college or university.
Option Two
If you forgot or there just isn't time to withdraw funds from your Golden State ScholarShare account before you register for classes, you can bring your current* account statement from Golden State ScholarShare to the Bursar's Office.
*Current means an account statement that shows your last transaction activity and present balance or the annual statement that Golden State ScholarShare sends to every account holder in January, whichever is more recent.
You will then fill out a Golden State ScholarShare qualified withdrawal form, but will leave the withdrawal amount blank. Based on your Golden State ScholarShare account balance, we can apply full or partial payment to your registration fees, and if you need books, we can set up an account at our bookstore.
About six weeks after the start of the semester, we will close out your bookstore account, if you have one, and total up your purchases; then add any registration fees applied on your behalf; and enter that exact amount on the withdrawal form you filled out at the beginning of the semester. Then we submit it to Golden State ScholarShare for payment.
Shortly after we send in the withdrawal form, you will receive a statement from Golden State ScholarShare showing the payment to Fullerton College and your new balance. If you plan to use your remaining Golden State ScholarShare funds to pay for classes or books the following semester, you will need this statement when you start the process over again.
Other Scholarships
The Bursar's Office administers scholarship funds awarded by other organizations. Please have your scholarship check AND disbursement instructions sent to the Bursar's Office. Contact John Miller in the Bursar's Office before you register for classes to see if your scholarship funds have arrived and for important information on how to access your scholarship funds.
Fullerton College is part of the
The Bursar's Office welcomes your comments, feedback, and questions. Please email firstname.lastname@example.com
Please report accessibilty issues to: email@example.com
Disclaimer © Fullerton College, Copyright 2008
Last updated June 6, 2016


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Alfred raced down the staires as rapidly as he could. As he jumped the few steps down, he ran up and tackled gently to wrap his small arms around Arthur's neck. The warmth of Arthur's body was bringing good will to his skin, the embrace meant to mean he was always safe when around him.
He let go of him to bring him to meet the floor and closed the door behind him. Alfred reached up his arm and slide up his hand into Arthur's as they both walked to kitchen. He lifted him up and sat him on the counter. 'Could you grab me two mugs please, Alfred?'
He nodded with a silly smile on his face. He stood carefully and opened the cupboard, grabbing two mugs gently which was hard because they made twice the size of his small hands. He held them by the handle and reached out his arms towards Arthur who was putting the milk down in front of him as well as the packet of sugar cubes. He looked at him and started to chuckle quietly. Alfred tilted his head and wondered what was so funny. He grabbed the mugs from Alfred's hands and placed them near the milk and then grabbed the chocolate powder. He then moved in front of Alfred and grabbed him by under his arms, putting him to the floor and bend down. 'Would you like some hot chocolate, Alfred?' He nodded straight away; Arthur patted his head gently with a weak smile. 'Ok then,' he started as he stood back up. 'Go to living room. Your hot chocolate will be ready soon, alright?'
'Ok.' He spoke, turning around and running out of the kitchen; swirling the rest of the way into the living room, jumping on the couch with the remote in his hands. Arthur turned his head and soon that smile disappeared as he finished putting a couple of spoons filled with chocolate powder into the mugs. A sigh was sounded and echoing very silently around the empty kitchen.
After a while, Alfred who was layed down across the sofa, sat up and looked up at Arthur with a wide grin across his face which made Arthur laugh inside of his head as he gave Alfred his mug of hot chocolate. He sat in the high chair, taking small sips out of his cup.
'How is it?' He asked. Alfred turned his head, at Arthur surprise; he had moose all over the top of his lip and the tip of his nose. He placed down his mug on the mini-table and bend down in front of Alfred holding up a handkerchief from his pocket and whipping Alfred's nose and lip. 'I love it, big brother Arthur!' He responded. Arthur caressed his cheek and smiled back at him. 'I'm glad you do, Al.' Was his only replied. He sat next to him and took him in his embrace, snuggling him tightly against his side.
Soon enough, Arthur saw his eyes closing. He begun to rub them every five minutes so he knew he was tired. Arthur looked down at his thigh and his hand on his knee turned into a tighten fist. Once he knew Alfred was fast asleep, he grabbed onto the remote and turned off the television. He layed Alfred down comfortably and covered him with his favourite blanket along with his soft stuffed animal he slept with every night. He smiled down at him and suddenly; tears were welling up his eyes and dropped on Alfred's face as he bend over to kiss his forehead. 'I'll be back soon, Alfred. I promise.'
I'll Be Back Soon, Alfred. by Dengeki-MoeohWatch
©2012-2016 Dengeki-Moeoh
MY GOD, JULIE!!! O.o
LEAVING A KID AT NIGHT?! WHAT HAPPENS THE NEXT MORNING?! O.o
Nothing like my stories...
Can you do something like this only with Canada and France?
LEAVING A KID AT NIGHT?! WHAT HAPPENS THE NEXT MORNING?! O.o
Nothing like my stories...
Can you do something like this only with Canada and France?
Canada and France? Why not, it'll be fun to write about it.But then, I won't be writing the Sarah x Canada fanfiction for you. I don't accept two request at once but if you want, next week or in two weeks I'll write it.
*thinking* NO! WAIT, DO ME AND CANADA!!! THE OTHER ONE WAS JUST A SUGGESTION!
Ok, I'll do you and Canada, my bestie.
He's going back to fight for his country.
OMG I love Hetalia!
I love it, too!
that's so cute o:
You can reach out to people their emotions whith your writing. Well done !
You can reach out to people their emotions whith your writing. Well done !
Really, I can?! Jeez, I really don't know what to say. Thank-you very much.
Right in the feels D'x


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By Don Nash
January 6, 2011
Glacier Bear basketball starts officially this weekend with a boys' team homestand against the Petersburg Vikings. Varsity games start at 7:30 p.m. Friday and Saturday at Karl Ward Gym. Junior varsity games start at 6 p.m.
Both teams have...
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Well, it was bound to happen sooner or later. After all, this is Nova Scotia in November so we really should have been expecting a bit of snow. For some reason it always seems to hit me as a surprise. Yes, I have noticed both the temperature and leaves dropping. I have also recently take the opportunity to put snow tires the car. Even with preparation and forethought, the reality of the first snow always seems to shake me out a some form of reverie. So, while it didn't amount to much, we have now had our first snowfall of the season. Because the ground is not yet frozen, the snow did not stay for very long. About a half hour after the snow stopped falling, all that remained was a wet residue, a cold breeze and a sense that winter is indeed coming.
While I was waiting for a group tour to arrive at the O'Dell House Museum, I decided that I should get a few pictures to document the first snow. As you can see, it was not a huge snowfall. It was just enough to make things slippery for a little while. Knowing that two years ago the snow was already knee deep, I will take our dusting and be happy. Once I make my mental adjustment to winter, I will actually be quite happy to have snow.
All for now,


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Case Study: Managed IT Services
Many businesses are moving to managed IT service providers for reduced cost and increased expertise. Managed services, traditionally supplied by systems integrators or VARs, are headed into new territory with the proliferation of cloud computing, and are now able to offer a wider range of technical services to their customers. In addition, the convergence of voice, data, mobile, and video services to a common IP-based network platform offers new avenues of control, monitoring, and cost savings.


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The U.S. Joint POW/MIA Accounting Command hosted an arrival ceremony at Joint Base Pearl Harbor-Hickam, in honor of fallen U.S. service members whose identities remain unknown. An honor detail composed of joint military members escorted the remains from a C-17 Globemaster III to JPAC's Central Identification Laboratory for analyses. The remains, which received full military honors, represented losses from World War II and the Vietnam War and are from recent JPAC recovery missions in Kiribati, Vanuatu, Papua New Guinea, Germany, Belgium, France, Canada and Vietnam. Once the transfer cases arrive at JPAC's laboratory, the forensic process of identifying the individuals begins. If and when identifications are established, the names will be announced following next-of-kin notification.
See related video at http://www.dvidshub.net/video/192127/jpac-arrival-ceremony#.UL-fSJPjlUu


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On March 19 Global Dispatch shares that fans are finally going to learn some of Zelena's back story on "Once Upon a Time" in the episode called "It's not easy being green."
In an interview that the Dispatch shared with Eddy Kitsis and Adam Horowitz episode 16 titled "It's not easy being green" will bring light to Zelena's past when Glinda the Good Witch shows up. The two say that fans will understand when they see her back story and learn more of what happened to Zelena in Oz and as a child.
Regina and Zelena will definitely get into it. Zelena's problem will be a global and internal problem, and not even have much to do with Regina specifically, but the vengeance she wants is exactly what will be the focus of the coming episodes of the remaining season three.
While Oz itself will be important, it isn't going to be a focal point where everyone will pick up and go to Oz. What happened there and the significant characters that we meet from there are going to be more important than the land itself. Zelena will be a huge driving force in the second half of the season and she is going to be the biggest antagonist that will make the Evil Queen look nice.
Are you interested in learning the Wicked Witch's story and why she is so mean?
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- 'Once Upon a Time' spoilers: Regina and Zelena have very different intentions
- 'The Big Bang Theory' Spoilers: Sheldon's indecision and Penny goes ape


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The Camino de Santiago translated into English is The Way of St James. It is an ancient network of walking routes across Europe called pilgrim routes that meet at the tomb of St James. I followed this route on my … Continue reading
Santiago RSS
Hadwin Claims First Web.Com Title in Chile
Adam Hadwin's unspectacular 2013 season may have ended with Q-School disappointment, but his 2014 season is already making up for it. While most of Canada's golf population is only just starting to contemplate the winter rust that has undoubtedly formed … Continue reading


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I have been using LinkedIn for networking and I'm really pleased with how far it's come in searching for and applying for jobs. I also found careerleaf which integrates with LinkedIn surprisingly well.
However, I have opportunities and recruiters outside of the LinkedIn Search and I am hoping someone may know of a web app. (hopefully free) to keep track of names, dates, contact info, stages of the employment process.
This is my first post to Web Apps. I did give this question thought. It is not subjective. I also thought about workplace (as there is some crossover in this question) but I decided to start here as I am seeking a web-based application. Thank you very much any ideas are greatly appreciated!


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Quick View
Cellars at Jasper Hill
HarbisonThe baby of the Jasper Hill family, born from the marriage between Winnimere and Moses Sleeper. A cradle of spruce bark imparts a pine-y flavor to the oozy, floral paste. Read More
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Tete de MoineIf you have a Girolle, you too can shave ''the monk's head.'' A strong raw cow's milk cheese from the Jura Mountains, assertively fruity and full-bodied. Read More
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LangresWho needs a flute when your cheese can hold your bubbly for you? Made in Champagne and finished with a concave top designed to hold a bit of the eponymous sparkler, cheesemakers wash each little cow's milk round with brine and then rub it with raccou, a natural colorant derived from a tropical shrub. Read More
- Quick View
Quick View
Brie FermierMade at the ''Farm of rejuvenation'' in Northern France, this brie is the best we've found yet. Mushroomy and fungal, gooey and creamy, you'll get hints of fresh shucked oysters and a tiny bit of iron.We think we're in love. Read More


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Quick Tour
Take advantage of the many benefits of creating an account. Receive notifications of newly added content, customize content preferences and access important saved information.
…Since 1775 the United States Marines have upheld a fine tradition of service to their country. They are doing so today. I am confident they will continue to do so.
© 2016 U.S. Marine Corps


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Skydiving.com now has a network skydiving location serving Clute and Brazoria County in Texas. Call Skydiving.com at 1-800-617-7948 for details, free information and specials on skydiving in Clute, TX today!
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Bristol C's Tomlin bid accepted
Bournemouth have accepted an undisclosed bid from Bristol City for striker Lee Tomlin, according to Sky sources.SkySports.com » 1m
Bournemouth have accepted an undisclosed bid from Bristol City for striker Lee Tomlin, according to Sky sources.SkySports.com » 1m
Premier League clubs will still be able to sign the best foreign players despite the EU Brexit vote, Professional Footballers' Association chief Gordon Taylor has said.SkySports.com » 19m
Jamie Vardy has become the latest star Arsenal have missed out on signing and in doing so he has joined an illustrious list of players.SkySports.com » 1h
Northern Ireland manager Michael O'Neill and captain Steven Davis say there will be plenty of emotion on show when they play Wales at Euro 2016.BBC Sport » 2h
Chelsea's England U21 midfielder Lewis Baker is to spend a second season on loan with Dutch club Vitesse Arnhem.SkySports.com » 3h
Kilmarnock make six signings, including midfielder Callum McFadzean, and bring in three more players on loan.BBC Sport » 4h
Republic of Ireland assistant boss Roy Keane says he has been "close to a lot of people" during his career, when asked about his emotional embrace with manager Martin O'Neill after their team's win over Italy.BBC Sport » 4h
British football clubs could find recruitment more difficult after the UK's decision to leave the European Union, an expert warns.BBC Sport » 5h
The latest/final league table can be shown along with the table on any given match date.
Use the checkboxes on the right to select teams for comparison using the buttons below the table.
Two teams can be compared head-to-head either statistically or historically. Three or more teams can also be compared as a group.
Also note that any comparisons are at the time of the selected date!
This table is Sortable.
Click on a column heading to sort by that column, click again to sort in reverse order. Click on any column appearing in yellow to return the table to its original order.
The default sort order is usually best to worst or alphabetical. Hover over the headings to reveal which columns can be sorted.
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Clicking on specific cells will reveal the detail behind that value. The cells will highlight in blue and underline when there is a popup available.
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Genesis Publications announced July 7 its latest book is being published in honor of the 50th anniversary of the Beatles movie "A Hard Day's Night." The book, titled "Golden Dreams," features unseen photos taken on the set of the film by Astrid Kirchherr and Max Scheler.
The book is limited to 2,500 individually numbered copies, each signed by Kirchherr and Scheler. Five different covers are available for the book with a choice of photos of each of the Beatles separately or a group shot. The cost is £185 (or $317 USD).
Back to the 'Early Days': Paul McCartney's new "Early Days" video probably surprised a lot of people when it was released Monday because it doesn't show the Beatles. "Early Days," a track from his "NEW" album, is a song about his life as a Beatle and how he was determined to hold onto it. "They can't take it from me if they try, I lived through those early days, so many times I had to change the pain to laughter, just to keep from getting crazed," a chorus in the song said.
The video is set in Mississippi in the '50s. "This is a time period that inspired The Beatles – American Rock and Roll and the Mississippi Delta Blues of the 50s. 'Early Days' is about the spirit and inspiration young musicians find in each other," director Vincent Haycock says. It also includes another appearance by actor Johnny Depp, who's become a regular in McCartney videos. This is Depp's third: add this to "Queenie Eye" and "My Valentine".
On stage again: Paul McCartney's return to the stage in Albany, N.Y. over the weekend made national news. That includes this great clip from ABC News that show that includes some of the marriage proposal that happened during the show.
A Lennon-McCartney reunion: The wonderful photo on this page is from October, but apparently a lot of people hadn't seen it judging from the reactions on Facebook when we posted it. But there you have Ruth and Angie McCartney and Julian Lennon – a McCartney-Lennon reunion. According to Angie McCartney, the photo was taken late last year at the launch of Julian's latest album in Hollywood.
Angie, of course, was married to the late Jim McCartney, Paul's father. Ruth is her daughter and Paul's stepsister. Angie has written a book about those days called "Angie McCartney: My Long and Winding Road" and she was also seen in "Good Ol' Freda."