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The 'Why?' Questions, Chapter and Multiverse
Nobody has ever accused Stephen Hawking of thinking small. His life has been devoted to asking foundational questions about the nature of spacetime and the origin of the universe. In his famous "A Brief History of Time" (1988), he attempted to bring the mysteries of black holes and the early universe to a wide audience. Now Mr. Hawking and Leonard Mlodinow have written "The Grand Design," which addresses some of the biggest questions of all: Why is there something rather than nothing? Why does nature have the laws it does? Why do we exist? These sorts of "Why?" questions are often neglected by most scientific practice, but the recent progress of cosmology and fundamental physics makes this a good time to tackle them in earnest.
Putting the word "design" in the book's title is the kind of cheeky humor that Mr. Hawking has become known for. The authors' answer to the riddle of the universe has nothing to do with intelligent design or with religion generally. "Some would claim the answer to these questions is that there is a God who chose to create the universe that way. . . . We claim, however, that it is possible to answer these questions purely within the realm of science, and without invoking any divine beings."
The Hawking vs. God debate has featured prominently in the news of late. He and Mr. Mlodinow don't claim to have proved that God doesn't exist; their argument is somewhat more confined, but still important in its implications. We understand enough about the ultimate laws of physics, the authors say, to conclude that we don't need God to understand the universe.
In this short and sprightly book, Messrs. Hawking and Mlodinow take the reader through a whirlwind tour of fundamental physics and cosmology, concluding with an enthusiastic endorsement of the idea that our observable universe is only a tiny part of a much larger conglomeration, the multiverse. The universe we see is big, featuring over a hundred billion galaxies, but it's still finite. The multiverse idea suggests that there are other regions, equally impressive in size, where conditions might be quite different, right down to different physical laws or different numbers of dimensions of space.
The Grand Design
By Stephen Hawking and Leonard Mlodinow
Bantam, 198 pages, $28
But "The Grand Design" aims beyond simply surveying hot topics in contemporary physics. It has a point—that some of the evergreen "Why?" questions of philosophy may be on the verge of being answered by modern science. Each chapter serves as a step along the path to finding such answers. The key that unlocks the them is not a new idea: It's the "anthropic principle," a subject of considerable controversy among cosmologists.
If there are many different environments in the universe, we should not be surprised to find ourselves living in those environments that are hospitable to our existence. In the solar system, for example, we should not be surprised that life arose on the surface of the Earth rather than on the sun (too hot) or the moon (too dry). Similarly, if there are many different universes, we should not be surprised to find ourselves living in this one. We might hope to explain certain features of our universe simply by insisting that it allow for intelligent life. If the mass of the neutron were smaller than the mass of the proton, for example, chemistry as we know it would be impossible. Perhaps there is some other universe where neutrons are lighter than protons; but we can't live there, since such a universe might not be able to support life.
Messrs. Hawking and Mlodinow trace the logic of quantum mechanics, general relativity and superstring theory, showing how a variety of existing universes isn't merely possible but arguably natural. In string theory, space inevitably has extra curled-up dimensions that we can't see. But there are many ways for dimensions to curl up, and each of them leads to different apparent "laws of physics." Then there's the idea of inflation, which predicts that an extremely tiny region of space can blow up into a universe-sized domain. Modern cosmologists believe that inflation, once it starts, can keep going forever, continually creating new "pocket universes" with different conditions in each one.
This is a picture that has been put together by a number of theoretical physicists over the past couple of decades, although it remains speculative. Mr. Hawking's own major contributions have involved the spontaneous creation of the universe "from nothing." The basic idea comes straight from conventional quantum mechanics: A particle does not have some perfectly well-defined position but rather lives in a superposition of many possible positions. As for particles, the logic goes, so for the entire universe. It exists in a superposition of many possible states, and among those states is utter nothingness. The laws of quantum cosmology purport to show how nothingness can evolve into the universe we see today. Speculative, yes; crazy, not necessarily.
"The Grand Design" thus attempts to outline, in under 200 pages, a complete scenario for the nature of the universe and our place in it. The universe exists because it must exist; if it didn't, it would come into existence spontaneously. Once it exists, the combination of quantum mechanics and general relativity coaxes the universe into creating a dizzying variety of regions with different local conditions and physical laws. Most of these might be extremely alien and inhospitable; but some will be just right to allow for the development of complexity and consciousness. Among those, happily, is our own.
Whether this ambitious conception is actually correct remains unclear. It's not especially idiosyncratic; many theorists hold similar views of the multiverse and the anthropic principle. The important lesson of "The Grand Design" is not so much the particular theory being advocated but the sense that science may be able to answer the deep "Why?" questions that are part of fundamental human curiosity.
It is unfortunate that Messrs. Hawking and Mlodinow choose to open their book by picking a pointless disciplinary fight: "Traditionally these are questions for philosophy, but philosophy is dead." The authors nevertheless quote a number of philosophers with apparent approval and engage in more than a bit of armchair philosophizing themselves. They advocate "model-dependent realism," which asserts that the "reality" of various elements of nature depends on the model through which one interprets them. This is an interesting approach to ontology, but it won't come as shocking news to philosophers who have thought about the problem. Answers to the great "Why?" questions are going to be subtle and difficult. Our best hope for constructing sensible answers lies with scientists and philosophers working together, not scoring points off one another.
—Mr. Carroll is the author of "From Eternity to Here: The Quest for the Ultimate Theory of Time."


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Veterans Law Center finds a new way to go where it's needed
Big Ten Network
Cecelia Klingele weighs in on Justice Department's private prisons phaseout
Wisconsin Public Radio
Steven Wright: Without polling place observers, it's hard to investigate unjust election practices
News 21
Green Bay-area police hand out gift cards to those in need; Cecelia Klingele comments
Wisconsin Public Radio
Keith Findley discusses next steps in Steven Avery's case
Appleton Post Crescent
John Hawley '79 recognized as a community builder in Boundless Together campaign
Sheboygan Press
Peter Carstensen discusses proposed dairy merger that has sparked concerns over organic milk competition
Capital Press
Cristina Borde: New Latino Exoneration Initiative provides help for wrongfully convicted Latinos in Wisconsin
Wisconsin Public Radio
Laura Smythe discusses Appleton launch of new mobile Veterans Law Center
Public News Service
How will U.S. ban affect long-term prospects on gene editing? Alta Charo discusses
Opinion: As Commissioner Bratton steps down, NYPD should look to Herman Goldstein's work for renewed mission
The New York Times
Alta Charo, a co-chair of advisory panel on gene editing, questions NIH director's views on embryonic manipulation
MedPage Today
Jonathan Scharrer: Restorative justice elevates voice of victims, makes offenders part of solution
Wisconsin State Journal
Susannah Camic Tahk discusses using the tax code to alleviate poverty
Pacific Standard
Professors Mertz, Macaulay, Mitchell and Klug edit 2-volume series on New Legal Realism
American Bar Foundation News
Cecelia Klingele participates in community discussion on racism in Wisconsin
Center for Patient Partnerships launches new online resource on depression
The Capital Times
Wisconsin Innocence Project launches Latino Exoneration Initiative
The Capital Times
What will federal judge's ruling on Wisconsin voter ID law mean on election day? Steven Wright discusses
Wisconsin Public Radio
Center for Patient Partnerships teams up with other UW researchers to chronicle patients' experiences with depression
Wisconsin State Journal
Jarrett Adams, a Wisconsin Innocence Project exoneree, is sworn in to the New York bar
CBS Chicago

subset: commoncrawl


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RDGLDGRN's song "I Love Lamp" was released a few weeks ago and has been gaining airplay more and more. RDGLDGRN's on the rise, and with a song like "I Love Lamp" it's easy to see why. Listen to RDGLDGRN – "I Love Lamp" below! Oh by the way, the drummer is Dave Grohl! (Nirvana / Foo Fighters) The band's name is pronounced Red Gold Green.
Download RDGLDGRN – "I Love Lamp" Free ? Say "thanks" to RDGLDGRN for making this song for us, the HumanFankind way!


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'Don't be afraid to seek help – you can't do everything on your own'
Published 02/12/2012 | 06:00
Favourite book
'The Ascent of Man' by Dr Jacob Bronowski. I have read this book again and again since it was first published in 1973 and find something new each time I dip into it.
Favourite CD
I'm old-fashioned enough to love to be reminded of the words and music of Nat King Cole.
Favourite MEMORY
Winning the Gold Medal in Portmarnock Golf Club on the same day that my wife Denise and son Donal won the all-Ireland Mother and Son competition in Malahide Golf Club.
Favourite piece of furniture
The table at which Denise and I eat our meals at home (when we eat indoors). It has a great view of Dublin Bay. I also love a clock that was given to my parents when they got married in 1931`.
Favourite item of clothing
It has to be one of my garish ties. I had one made in bright green with armchairs all over it. Under each armchair was YCDBSOYA – "You can't do business sitting on your... armchair!"
I react badly to a speaker who knows he has 20 minutes but, having made his point in the first minute, continues to speak for the next 19.
most important person
My wife and I are married 50 years. It could not be anyone else.
what advice would you give your 16-year-old self?
Don't be afraid to seek help – you can't do everything on your own.
first kiss
Most likely from my mother when I was just a minute old.
what characteristic in yourself do you like the most and least?
The characteristic I like is that I trust everybody and am seldom let down. The characteristic I like least is that I trust everybody and on occasions I am let down.
Favourite tipple
Chateau de Fieuzal is a favourite Claret for me. I am a little biased as the chateau belongs to my cousin, Lochlann.
Favourite restaurant
Howth has an abundance of great fish restaurants. We love to go to Aqua at the end of the West Pier.
Weekend Magazine


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So I'm trying to install Feedora on a computer. I have the Live cd, as well as the install dvd. I have tried both sometimes it will just go to a black screen when using the dvd. When I use the Live cd it goes to a white screen with reading that I am unable to read, its not code. I have tried redownloading the disc. Didn't work. Please help. I know windows not linux, I am a Microsoft Networking Administrator.
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New York Gov. Andrew Cuomo talks with reporters at the Capitol in Albany, N.Y., Friday, June 17, 2011. Gov. Andrew Cuomo held more one-on-one negotiations Friday with Senate Republicans who worry his bill to legalize gay marriage doesn't do enough to protect religious groups and churches that refuse to preside over same-sex weddings and other services. (AP Photo/Hans Pennink)


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Recommend your shoes?
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Working the Gusset
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Thank you for all your suggestions. I dragged the hubby out searching with me today and here's what I found...
I didn't know they made anything other than sandals ! Sure enough one of the stores we went to today had a lace up version that comes in a lot of colors. The store only carried up to a 10 and it was too small so I may get on Zappos and order a couple of pairs to try at home.
Dansko professional clogs come in NARROW (who knew)!! This makes them a real possibility for me. The store only had brown in narrow, so again, I will have to get on Zappos and order a colorful pair to try out for an hour or two in the house and see how my legs feel.
Maybe I'll splurge and own 2 pair of work shoes !!
Clarks store didn't stock any size 11's and the 10 was too small. Overall the pair of 10's I tried on didn't feel like they had a lot of support.
I've never tried Sketcher's so I will have to look at them. As for New Balance, they are great shoes and I recommend them to a lot patients with wide/pronated feet. Personally, never had pair I was comfortable in - for sneakers I stick with Addidas.
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Wauconda Area Library
801 N. Main Street
Wauconda, IL
Isn't it time to start saving?
Super- Couponing will change the way you shop... forever!
Learn the coupon secrets of the pros, how to match coupons to sales, and the "clipless method"� of only cutting the coupons you need -- without a coupon binder, and without wasting time.


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PHILIPPI - Incumbent Barbour County Commissioner Tim McDaniel won the Republican nomination in Tuesday's primary election, and will face Democrat Adam Marsh in November.
"It's a relief to have the primary election over with," McDaniel said Tuesday at the Barbour County Courthouse. "I didn't know which way it would go with three candidates on the Republican ticket. ... I'll have to thank the community for their continued support and I do appreciate it."
McDaniel totaled 608 votes, while fellow Republicans Jim Kines Jr. earned 339 votes and Judy Gain garnered 151 votes. Adam Marsh was the only Democratic candidate, totaling 940 votes.
In the race for the Barbour County Board of Education, incumbent Joanne McConnell earned 1,770 votes, allowing her to keep her seat for the North District.
"I'm happy to be able to serve Barbour County four more years as a Board of Education member," McConnell said. "As always, I put kids, families and communities first."
Two current BOE members, Doward Matlick and Bob Wilkins, did not seek reelection, leaving two seats open. A total of 583 votes were cast among three write-in candidates, Reggie Trefethen and Jeff Davis for the West District and Dave Everson for the South District. The tally of votes among each will be counted and totaled at a later date, officials said Tuesday evening.
In Barbour County, Democrat Natalie Tennant received 800 votes in the U.S. Senate race, followed by Dennis Melton with 218 votes and David B. Wamsley with 75 votes.
On the Republican side, U.S. Senate candidate Shelley Moore Capito received 962 votes, followed by Matthew Dodrill with 68 and Larry Eugene Butcher with 64.
Democrat Glen B. Gainer III totaled 903 votes for the U.S. House of Representatives First Congressional District seat. Republican incumbent David B. McKinley garnered 916 votes.
Robert "Bee Bob" Wolfe ran unopposed for Conservation District Supervisor and won with 1,770 votes.
For the South District Barbour County Republican Executive Committee males, Max Grove received 207 total votes. For the West District, John J. Heiss received 188 votes.
In the female race for the Barbour County Republican Executive Committee, Jo Grove totaled 222 votes for the South District.
For the State Republican Executive Committee of the 14th Senatorial District, Grove received 719 votes and Scott A. Dewitt received 375 votes.
Grove received 684 votes for the 47th District Senatorial District Executive Committee.
For the 47th Delegate District of the Republican Executive Committee, Grove received 646 votes. He also received 699 votes in the first Congressional District of the Congressional District Republican Executive Committee.
For the West District county-wide Democratic Executive Committee, females, Stemple received 224 votes. Democrat Sharon Corley received 254 votes. For the South District, Lynne Snyder received 246 votes. For the North District, Eloise W. Hollen received 241 votes and Joyce Wilson received 269 votes. For the North District males, Mark L. Hollen received 303 votes. For the West District males, Larry Corley received 296 votes.
For the female State Democratic Executive Committee, the 14th Senatorial District, Carye L. Blaney received 525 votes, Cynthia Corwin Walters garnered 293 votes and Rita McCrombie totaled 444 votes.
For the male State Democratic Executive Committee, the 14th Senatorial District, Jeremy B. Cooper received 455 votes and J.M. "Mike" Withers received 783.


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Sony HDR-FX1E
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First impression on unpacking the Q702 test unit was the solid feel and clean, minimalist styling.
Anthony Grifoni
For work use, Microsoft Word and Excel programs pre-installed on the device are adequate for preparing short documents.
Steph Mundell
The Fujitsu LifeBook UH574 allowed for great mobility without being obnoxiously heavy or clunky. Its twelve hours of battery life did not disappoint.
Andrew Mitsi
The screen was particularly good. It is bright and visible from most angles, however heat is an issue, particularly around the Windows button on the front, and on the back where the battery housing is located.
Simon Harriott
My first impression after unboxing the Q702 is that it is a nice looking unit. Styling is somewhat minimalist but very effective. The tablet part, once detached, has a nice weight, and no buttons or switches are located in awkward or intrusive positions.
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A crime scene unit investigates a home at 4106 4th Ave. East near Watermelon Road in Tuscaloosa, Ala., Tuesday, July 17, 2012 where a shooting on Monday injured one person, and allegedly lead to a related shooting early Tuesday that wounded nearly a dozen people, at a bar in Tuscaloosa. A gunman who fired into a crowded bar turned himself in Tuesday, several hours after the rampage, police said. Police have not identified him. (AP Photo/Tuscaloosa News, Dusty Compton)


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Created in this Craftsy class
Craftsy Block of the Month 2012 taught by Amy Gibson
In Craftsy's first-ever Block of the Month, Amy Gibson brings you 10 specific quilting techniques - appliqué, string quilting, paper piecing and more.
Other projects made as part of this class:
Quilting2012 Modern Sampler Piecing
Quiltingtossed leaves
Quilting2012 BOM
Offer some kudos...
Join the conversation...
Ask a question...
Add your comment...
Love the black and white! And, you did a great job on getting everything all lined up!!
01/28/2012 Flag
you are so right -- they did square up perfectly. Nice Job!
01/29/2012 Flag


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General Information
Hours & Location
During the academic year, the Writing Center is open during the following hours:
Monday-Thursday: 9:00am-8:00pm
Friday: 9:00am-5:00pm
Saturday: 10:00am-4:00pm
The LIU/Brooklyn Writing Center is located in H-218 (on the second floor of the Humanities Building). You may reach us by phone at 718 488-1095.
STUDENT WRITING GROUPS: The Writing Center also helps students to form their own ongoing writing groups. A tutor will help a group of approximately five students to get started by teaching techniques of peer review, facilitating the group for its first few weeks of meetings, and being available for consultation and facilitation upon request thereafter. Students interested in being part of a student writing group should check in at the front desk for more information.
COMPUTER LAB: We also have computers available for use by students. The computer lab in the Writing Center is equipped with both Apple Macintosh computers and IBM-compatible PCs, and the entire network is connected to laser printers and the internet. Due to its limited size, we must restrict usage of our lab to students who are registered with the Writing Center and are currently meeting with a tutor. To ensure all our users have access to the lab, we limit use to one hour during peak periods. Up to ten pages (not from the internet) may be printed for free per session.
REFERENCE LIBRARY: Within the Center, we have a complete array of handouts on specific topics as well as books and journals that tackle a variety of subjects. Copies of handouts are available for your use at the Writing Center or, if you are a member of the LIU community, we will gladly forward one to your campus mailing address. To review a book or journal, feel free to stop into the Center during our regular business hours.
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Never miss another 'Adam Buxton' show
XL Recordings Special: Adam Buxton
This event takes place at O2 ABC Glasgow (ABC1 & ABC2), which has achieved Silver Status for disabled access from Attitude Is Everything.
Adam Buxton
One half of the genius behind Channel 4's Adam & Joe show, actor, scriptwriter, stand-up comic and DJ on BBC 6 Music.
'Buxton displays a near heroic willingness to behave as stupidly as possible in pursuit of laughs. A sunny riot of daft voices, songs, and tortuous puns' (The Scotsman)
'Would make a convincing claim to the title of funniest man in Britain' (Three Weeks)
'Wonderful fun' (The Guardian).
Adam Buxton tour dates
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Venue: O2 ABC Glasgow (ABC1 & ABC2)
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Website: abcglasgow.com
Bookings: 08444 999 999
Disabled Bookings: 0141 332 2232
→ Glasgow Queen Street 5 min walk


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On a more positive note. How to sell software, which is not crappy (this is
for business customers).
1. Make software, which is needed.
2. Offer trial periods.
3. Offer *long enough* money back guarantee (what is "long enough" depends;
how about six months for enterprise software?).
This technique would not necessarily work to ensure software quality for
large environment - too much time and effort would have to be invested in
the deployment and learning, and that by itself creates buy-in for the
crappy software.
4. Offer free services to install/uninstall software and to train people to
use it - an incentive to make software, which does not require training or
guided installation.
I thought about including a rebate for these services with the money back
guarantee, but that could be abused too easily.
None of the above is necessary in the absence of competition.
Oleh Kovalchuke
Interaction Design is the Design of Time


text:
In late December 2012, it was revealed Seattle had partnered up with Gigabit Squared to bring gigabit Internet to some of its districts as part of the Gigabit Neighborhood Gateway Program. The initial launch was to be in 12 neighborhoods, and by this past summer, the pricing for the plans had been revealed. As it turns out, all was for naught, as the entire plan has been scrapped.
The reason for the failed project is unknown, and while on the surface it seems it could have something to do with the recent elections, there are indications that the plans may have been failing before the new mayor took office. The project was announced under Mayor McGinn's command, and its death has been announced under the run of the city's new mayor, Ed Murray.
Murray is quoted by the Puget Sound Business Journal as saying, "We understand the Gigabit problems had developed before the election." What those problems were wasn't detailed, but the mayor confirmed the deal to bring gigabit Internet to the city is no longer in place. Under the original plan, Gigabit Squared was to lease Seattle's fiber optic network and bring neighbors blazing fast Internet access.
Such would have been a first for any city in the United States, in terms of having a city-owned gigabit offering delivered by a private company. All might not be lost, however, with a company spokesperson saying that it looks "forward to a dialogue regarding project possibilities with Mayor-elect Murray and his staff."
SOURCE: Biz Journals


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2185 Citracado ParkwayEscondido, CA 92029442.281.5000
555 East Valley ParkwayEscondido, CA 92025760.739.3000
Outpatient Pavilion15611 Pomerado Rd. Poway, CA 92064858.613.4000
(adjacent to Pomerado Hospital)Poway, CA 92064858.613.4545
120 Craven RoadSan Marcos, CA 92078760.510.7330
EscondidoRancho PenasquitosTemeculaSan Elijo Hills (San Marcos)
Home > Health Resources > Health Encyclopedia
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Looking for fall recipes? As nights get longer and the days shorter, fall brings a new zest for the outdoors and the produce of the season: winter squashes, bell peppers and the perennial favorite pumpkin.
Skillet Pear Ginger Pie
The dynamism behind this pie comes from the deft melding of hot ginger and sweet crunchy pears.
Brussels Sprout Salad with Parmesan and Walnuts
Cheese and walnuts complement this classic fall side dish of apples and Brussels sprouts.
Brown Butter Pumpkin Loaf with Streusel
Soft and perfectly spiced with brown butter, this classic pumpkin bread takes things to the next level.
Sweet Potato Maple Pecan Ice Cream
This delicately-flavored sweet potato ice cream is comforting any time of year.
Pumpkin Meringue Pie with Brown Butter Gingersnap Crust
A stunning pumpkin pie piled high with airy meringue and nestled in a gingersnap crust.
Pumpkin and Sage Gratin
In need of a savory side for fall? look no further than this picturesque pumpkin gratin.


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Tiffany oversees editorial content and social media strategy for SouthBeachDiet.com and JoyBauer.com. She began her journalism career at Everyday Health as an intern in 2008, helping launch and re-brand Premium Services products over the years. Tiffany enjoys making chia seed pudding and perfecting her yoga headstand.
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Prospects for Transmutation of Nuclear Waste and the future
Alex C. Mueller
National Institute for Nuclear and Particle Physics (IN2P3), France
Despite the tsunami-induced nuclear accident in Fukushima, many countries are planning a significant increase of the nuclear part in their energy mix because of the potential for true sustainability. On the other hand there is also a strong nuclear opposition, the longlived nuclear waste being a major concern. The concept of Partitioning & Transmutation holds the promise of a solution. It deploys fast neutron reactors, critical and accelerator-driven subcritical ones (ADS). MYRRHA is a project in Belgium, at SCK-CEN research center at Mol, for the demonstration of these technologies (and a number of additional applications). The talk introduces the general context, focuses then on the physics and technologie of transmutation and concludes with "roadmap towards MYRRHA".


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The project is expected to be completed by late November.
PLU faculty members discuss Pokémon, the presidential election, parenting and the meaning of "civility"
The eighth episode of "Open to Interpretation" features a discussion of the word "civility" among host and Communication and Theatre Department Chair Amy Young, Assistant Professor of Politics and Government Kaitlyn Sill and Marriage and Family Therapy Department Chair David Ward.
PLU alumna lands in Yosemite wilderness as park ranger after long journey traveling the world, exploring vocation
Plog, who is currently working at Yosemite National Park in California, double majored in communication and global studies at PLU. She also double minored in environmental studies and English writing.
93-year-old Lute, former softball player to throw first pitch at PLU Night at the Rainiers
Gloria Perry said she wishes her twin, Helen Jansen, could join her on the mound when she throws out the first pitch at the Tacoma Rainiers game Aug. 20. But she said she will be there in spirit.
Lutes to join group of 8 from around nation to represent young voices at U.N. climate conference in Morocco
Each year, only eight students are chosen to tweet, post and blog about their experiences discussing climate change at the conference, which is in Morocco this year. The program aims to increase climate literacy and education for students.
PLU named the leading distributor of creative arts scholarships among West Coast colleges
By Zach Powers '10PLU Marketing & CommunicationsTACOMA, WASH. (July 25, 2016) – Pacific Lutheran University was named one of the top colleges in the country for awarding creative arts scholarships by LendEDU. PLU ranked 22nd on the list, credited with distributing more than $1.4 million in creative arts scholarships in 2015. It was the
PLU alumna emphasizes the student in 'student athlete' in her new role as UW athletic director
"We feel like our students are students first," said UW Athletic Director Jen Cohen, who earned her master's degree in sports administration at Pacific Lutheran University. "For me, this is all about education."
PLU School of Nursing program earns $350,000 grant to continue commitment to helping underserved communities
The money comes in the form of an Advanced Education Nursing Traineeship (AENT) grant for the 2016-17 academic year, awarded by the U.S. Department of Health and Human Services Health Resources and Services Administration (HRSA). It will cover tuition and living stipends for students in the Family Nurse Practitioner program.
Former State Superintendent joins PLU as interim dean of the School of Education and Kinesiology
Terry Bergeson, Ph.D., has joined Pacific Lutheran University as interim dean of the School of Education & Kinesiology. Bergeson has extensive experience in state education, having served as Washington state superintendent of public instruction from 1997 to 2009, and as executive director of the Washington Commission on Student Learning from...
National Parks postage stamp series features photo by PLU alumnus, self-taught photographer
Kevin Ebi's work keeps life interesting — from going inside the magma chamber of an old volcano to documenting for several years how eagles fly.


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Hello Doctor Reverend Bird Slayer... still prescribing rotten birds to ressurect your live chess victims?
by PardalsemCasa 7 years ago
hey :P
by mikex22 7 years ago
we should have the other half of the group in that votechess game we got going on :P
does anyone know how to lock in the team matches? I have one ready but not really sure what to do . thx
by veggiegirlie 7 years ago
Don't know how but Leth's account is closed!?!
by AnthonyCG 7 years ago
Hi Leth! Welcome AND congrats for being the first person ever to make a note! :)
Hey Leth. Welcome to Chuck. :D
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-- Diana Kohnle
(HealthDay News) -- Baby's first dental visit is very important,
even if there is only one tooth.
The American Dental Association explains what should happen at
your child's first visit with the dentist:
Please be aware that this information is provided to supplement the care provided by your physician. It is neither intended nor implied to be a substitute for professional medical advice. CALL YOUR HEALTHCARE PROVIDER IMMEDIATELY IF YOU THINK YOU MAY HAVE A MEDICAL EMERGENCY. Always seek the advice of your physician or other qualified health provider prior to starting any new treatment or with any questions you may have regarding a medical condition.
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The Office of Financial Aid helps students and their families achieve their goals in attaining their degrees from Nevada State College. We know that understanding the world of financial aid may be difficult at times. However, we are here to assist you in using financial aid to your advantage and to help you to pay for attending and graduating from college. With many federal, state and institutional financial aid programs available, don't let finances stop you from achieving a college education. Financial aid, even loans, is a great way to invest in you. With a college education, you can achieve anything. If you have any questions, simply call, email or drop by the office.
Page Updated: 10/08/2015
The application for the 2016-17 NSC Foundation Scholarships is now closed. Check
back in fall for the 2017-18 application.
For additional scholarship opportunities, please visit our External Scholarships page.
Beginning January 1, 2016, you can file your 2016-17 FAFSA at fafsa.gov. The priority deadline is April 15 to be considered for institutional grants and scholarships.
"With most Federal and private student loans, borrowers get a six month grace period before their first payment is due. It's during this time that scammers try to take advantage of unsuspecting student loan borrowers, and borrowers need to know what to expect," Forbes reports.
"...The most common student loan scam that has been hitting recent graduates is the student loan consolidation scam. ... Some scammers even tell you that you can lower your payments.
The student loan consolidation scam typically involves a company offering to consolidate your student loans for a fee (a processing fee, administrative fee, or consolidation fee). In exchange for paying the fee, the company will consolidate your loans. ...
Advanced fee scams are another student loan scam victimizing borrowers across the country. This scam involves a company offering to lower the interest rate on your student loan in exchange for a fee up front. They will typically ask for the fee in exchange for them negotiating on your behalf with your student loan servicer.
To get you to sign up, they will typically highlight other clients that they were able to do this successfully with, and show you how much you could possibly save. ...
Finally, there are companies that are convincing student loan borrowers that they can help you eliminate your student loan debt. This is a complete scam, that is usually a sub-segment of the advanced fee scam. These companies will typically ask for money up front to help negotiate the settlement of your student loans (similar to what you see with credit card debt relief companies)."
NASFAA's "Financial Aid in the News" section highlights media coverage of financial aid to help members stay up to date with the latest news. Inclusion in Today's News does not imply endorsement of the material or guarantee the accuracy of information presented.
Publication Date: 6/11/2014


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Justin Timberlake's top 10 singles: 2001-2013
Do you agree with our selections?
<< Prev Next >>
Next gallery »Exclusive: The Staves' photo diary from a successful SXSW run
« Previous gallery10 Music related movies you should see at SXSW
1. 'Cry Me a River' (2002)
About as fine a kiss-off song as they come, especially since we all know it's about Britney Spears. Timberlake sings as if there's ice running through his veins he's so over this relationship. It's a good thing his performance is so understated because producer Timbaland has thrown everything else on the synthesized track, including a Gregorian-type chant and a Greek chorus. The tune justifiably snagged Timberland a Grammy for best male pop vocal performance.


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Patient Information
Self-Diagnosis Tools
Here are some tools you can use to determine if you may have a sleep disorder. Please consult a physician should you have any concerns about your sleep health.
- Epworth Sleepiness Scale: Assessment of severity of sleepiness
- Stop-Bang Questionnaire: To evaluate potential for sleep apnea
- Leg Movement Questionnaire: Evaluate potential for restless legs syndrome
Additional Information
Click on the links below to learn more about various sleep topics.
- The Truth About Caffeine
- Tips for Troubleshooting CPAP Problems
- Sleep Hygiene
- Sleep and Heart Disease
- Coping with Shift Work
- Home Sleep Testing
- Sleep and Depression
- Sleep and Women
- Children and Sleep Disorders


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Tired of studying? Come take a break playing with some adorable dogs!
The event has been moved to the patio in front of the Cate Center!
When: Wednesday, May 1, 2013, READING DAY
What time: 1 pm-4 pm
Where: the patio in front of the Cate Center!
What: doggies!
This event is hosted by the Student Life Committee and Meredith Entertainment Association will be providing music and light snacks!


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The Center for International and Security Studies at Maryland (CISSM), at the University of Maryland's School of Public Affairs, pursues policy-oriented scholarship on major issues facing the United States in the global arena. Using its research, forums, and publications, CISSM links the University and the policy community to improve communication between scholars and practitioners.
The Center for the Study of Policy Attitudes (CSPA) is an independent nonprofit organization of social science researchers devoted to increasing understanding of public and elite attitudes shaping contemporary public policy. Using innovative research methods, CSPA seeks not only to examine overt policy opinions or positions, but to reveal the underlying values, assumptions, and feelings that sustain such opinions.
PIPA recently issued a poll report, Americans on Defense Spending - A Study of US Public Attitudes.
Gloria Duffy
Visiting Scholar
Stanford University
Alexander George
Professor of International Relations
Stanford University
Alan Kay
Americans Talk Issues Foundation
Catherine M. Kelleher
(on leave)
Daniel Yankelovich
Chairman, DYG Inc.
Public Agenda Foundation


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Our Aggressive Michigan Criminal Defense Team
The law firm of Kronzek & Cronkright, PLLC is based in Michigan and offers aggressive criminal defense throughout the entire Lower Peninsula of Michigan. If you have been charged with a serious criminal offense, or think that you may be charged, you need the aggressive criminal defense team at Kronzek & Cronkright. Our experienced team of skilled professionals has a proven track record of successful results in Michigan local, state, and federal Courts.
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I am attorney Chuck Kronzek. My interest in founding this law firm, along with my first partner, Michael Cronkright, was that I wanted to operate a firm where we could offer each of our clients the best possible defense, the best possible attorneys and the best possible results. I am proud of what we have been able to achieve. Since we started practicing together, Mike, myself and the team have had many trial victories; too many to keep track of really. We enjoy our reputation of being thorough, intense, competent Michigan criminal defense attorneys. We love winning cases and helping clients.
At Kronzek & Cronkright, PLLC, we never stop educating ourselves, never stop learning better ways to present arguments and win cases. I make sure that all of my attorneys participate in continual ongoing legal education and training. I make sure that every criminal defense file is regularly reviewed by one of the partners in the firm.
We don't have any small cases or unimportant clients. If you are being represented by my law firm, I will accept your call and review your case progress with you, even if another attorney in the firm is the lead attorney on the case. I meet with clients during the day, during the evenings and on weekends. I offer you my personal guarantee: If you are a client at my firm, you will be represented well. I will see to it.
Mr. Kronzek is a highly successful trial lawyer with extensive experience in handling hundreds of criminal cases. He is involved in many of our high profile cases. He has excellent litigation skills and has been a member of numerous legal and professional associations, including the State Bar of Michigan, National Association of Criminal Defense Lawyers, Criminal Defense Attorneys of Michigan, and the American Association of Justice. He frequently participates in continuing legal education in order to keep updated on the most current laws, techniques, areas of expertise, and court rulings that might affect our clients. He received his Bachelor of Science in Human Resources Management from Geneva College in Pennsylvania. He then obtained his Juris Doctor from Thomas M. Cooley Law School where he graduated Cum Laude. He has been admitted to practice law in all Michigan state courts, as well as the United States District Court for the Western District of Michigan, the United States District Court for the Eastern District of Michigan, and the United States District Court for the Western District of Texas. He has been admitted pro hac vice to try cases in Texas, Wyoming, and Florida.
John M. English
John M. English, originally raised on the shores of Lake Superior, has been a member of the State Bar of Michigan since 1999 and the New Hampshire Bar Association since 1985. He maintained a statewide OWI defense practice in NewHampshire for 14 years but now concentrates on all types of serious Michigan criminal cases. Mr. English has conducted hundreds of administrative hearings, bench trials, and jury trials. He is licensed to practice in Michigan courts as well as the United States District Court for the Western District of Michigan and the United States District Court for the Eastern District of Michigan. His professional memberships have included the State Bar of Michigan, New Hampshire Bar Association, American Trial Lawyers Association, New Hampshire Trial Lawyers Association, New Hampshire Association of Criminal Defense Lawyers, and Criminal Defense Attorneys of Michigan. Mr. English has successfully completed the NHTSA/IACP Standardized Field Sobriety Testing Practitioner Course and completed other numerous continuing legal education courses.
Mr. English obtained his Bachelor of Arts Degree from Franconia College (N.H.) in 1977 and his Juris Doctor degree from the University of New Hampshire School of Law (formerly Franklin Pierce Law Center) in Concord, New Hampshire in 1984.
Brandy J. Thompson
Ms. Thompson, originally from northern Michigan, graduated Magna Cum Laude with a Bachelor's Degree in Pre-Law from Lake Superior State University. She then attended Michigan State University College of Law, where she graduated Cum Laude. While in law school, she became an editor for the prestigious MSU Law Review. Her professional memberships have included the Michigan Association for Justice, the State Bar of Michigan, as well as the Young Trial Lawyers Association. In addition to being licensed to practice in all Michigan courts, she is also licensed in the United States District Court for the Western District of Michigan and the United States District Court for the Eastern District of Michigan. Ms. Thompson has successfully litigated in both state and federal courts. She has handled a wide range of cases, including those involving Child Protective Services, child abuse, child neglect, and criminal defense.
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Thomas Piotrowski is an experienced and aggressive litigator who handles cases in and around the Detroit metro area. Since graduating cum laude from the Detroit College of Law in 1987, Mr. Piotrowski has been actively litigating inside of Michigan courtrooms.
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Stephanie M. Service
Ms. Service firmly believes in a criminal defendant's constitutional right to a competent criminal defense attorney. That is why she has such a passion for defending people who have been charged with crimes in Michigan. Not only does she work hard to prepare a defense strategy, but she works hard to build relationships with all her clients.
Ms. Service graduated from Grand Valley State University with a Bachelor of Arts in Communications and a minor in Spanish. She then accepted an Honors Scholarship to attend Thomas M. Cooley Law School. During law school, Ms. Service earned a place on both the Dean's List and Honor Roll every single semester and was a member of the Thomas M. Cooley Law Review. She graduated cum laude with an academic ranking of 20 out of 403 students.
Ms. Service is licensed to practice law in all Michigan state courts, as well as the United States District Courts for the Eastern and Western Districts of Michigan. She is a graduate of both the Hillman Advocacy Program and the Trial Skills College.
Michael J. Cronkright
"Defending the Falsely Accused is not a Job for the Weak, the Timid, The Inexperienced or the Incompetent."
I am Michael Cronkright, one of the founding partners of Kronzek & Cronkright, PLLC. I hold firmly to the belief that every criminal defendant and every person suspected of a crime deserves the best possible defense. Our legal system seems to be trending toward treating the accused poorly and lowering the quality of defense. Unfortunately, many clients are represented poorly by attorneys who don't give them the time and attention they deserve. In our law firm, we work very hard to make sure every client gets an excellent defense.
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In my practice, I work daily with clients in criminal cases, Children's Protective Proceedings, and other complex litigation. I have extensive experience defending child abuse cases, especially infant injury and death cases. I have a passion for defending the falsely accused and those treated unfairly by police, prosecutors and CPS investigators.
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I have obtained not guilty verdicts throughout Michigan and have successfully litigated the reunification of families facing allegations by Children's Protective Services. If I can be of assistance to you or your loved ones, please don't hesitate to contact me directly at email@example.com .
Mr. Cronkright received his Bachelor of Arts in Business from Spring Arbor College. He then obtained his Juris Doctor from Thomas M. Cooley Law School, where he graduated Cum Laude. He has been admitted to practice law in all Michigan courts, as well as the United States District Court for the Western District of Michigan, the United States District Court for the Eastern District of Michigan, and, pro hac vice, in Wyoming, Texas, and Wisconsin. He is additionally licensed to practice law in the state of Florida.
Mr. Cronkright's professional memberships include the State Bar of Michigan, Criminal Law Section, Florida Bar Association, National Association of Criminal Defense Lawyers, Criminal Defense Attorneys of Michigan, the American Association of Justice, and the National Association of CPS Defense Attorneys.


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FILE - This Oct. 9, 2010, file photo shows Minnesota Twins manager Ron Gardenhire gesturing before Game 3 of the American League Division Series against the New York Yankees, at Yankee Stadium in New York. Gardenhire won the AL Manager of the Year award Wednesday Nov. 17, 2010. (AP Photo/ Bill Kostroun, File)


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Staff profile - Alexey Glushenkov
Dr Alexey Glushenkov
|Senior Research Fellow
|Faculty or Division:
|Instit for Frontier Materials
|Instit for Frontier Materials
|Geelong Waurn Ponds Campus
|+61 3 522 72931 +61 3 522 72931
- Doctor of Philosophy, Australian National University, 2008
Career highlights
2015 - present: Senior Research Fellow, Institute for Frontier Materials, Deakin University, Australia
2014 - 2015: Technology Fellow, Melbourne Centre for Nanofabrication, Australia
Nov 2014 - May 2015: Visiting Research Professor, Drexel University, Philadelphia, the United States
2009 - 2014: Research Fellow, Institute for Frontier Materials, Deakin University, Australia
2008 - 2009: Postdoctoral Fellow, Research School of Physics and Engineering, the Australian National University, Australia
2003 - 2004: Junior Research Scientist, Boreskov Institute of Catalysis, Russian Federation
Associate Editor, RSC Advances
Knowledge areas
Nanomaterials, nanotechnology, transmission electron microscopy, electrochemical supercapacitors, sodium-ion batteries
Awards and prizes
2015-2016 Research Visits to Japan Fellowship, Australian Academy of Science
2014 Vice-Chancellor's Award for Research Excellence (Early Career Researcher)
2014 Australia Awards Endeavour Research Fellowship
2014 Melbourne Centre for Nanofabrication Technology Fellowship
2013 France - Australia Science Innovation Collaboration ECR Fellowship, Australian Academy of Science
2012 Best Poster Award, IUMRS-ICYRAM 2012 Conference, Singapore
Research interests
Research interests include preparation and characterization of nanomaterials, scanning and transmission electron microscopy, studying properties and applications of nanomaterials and nanostructured electrodes. Dr Glushenkov has broad experience in the synthesis and analysis of nanostructures and nanocomposites involving carbon, antimony, phosphorus, oxides of zinc, titanium, tin and vanadium as well as nitrides of vanadium molybdenum, tungsten and boron. Dr Glushenkov is also interested in applying transmission electron microscopy, energy-filtered TEM and electron energy loss spectroscopy to studying battery materials.He is currently interested in applications of nanomaterials in energy storage devices - electrochemical supercapacitors and sodium-ion batteries.
Research grants
Australian Research Council
1. ARC Discovery grant DP160101178 (2016-2019), M. Forsyth, P. Howlett, A. Glushenkov, M. Armand, $617,000.
2. ARC Discovery grant DP130102311 (2013-2015), Y. Chen, A. Glushenkov, Y. Gogotsi, $330,000.
3. ARC Linkage Infrastructure, Equipment and Facilities grant LE160100199 (2016), Y. Chen, L. Li, K. Kalantar-zadeh, D. Moss, D. Li, Q. Bao, H. Wang, W. Cheng, J.H. Kim, S. Li, J. Razal, W. Yang, A. Glushenkov, $367,900.
4. ARC Linkage Infrastructure, Equipment and Facilities grant LE140100085 (2014), A.P. Neild, M. Majumder, T. Alan, J.M. Redoute, W. Cheng, S.R. Gray, M. Duke, T.H. Lai, A. Kouzani, A. Glushenkov, L. Kong, X.J. Dai, $300,000.
5. ARC Linkage Infrastructure, Equipment and Facilities grant LE100100195 (2010), Y. Chen, M. Barnett, P. Hodgson, X. Wang, T. Tsuzuki, C. Wen, A. Glushenkov, L. Kong, C. Sorrell, Y. Zhang, V. Chen, D. Phelan, K. Walder, G. Peleckis, S. Moulton, J. Beynon, X. Wang, D. Cahill, P. Cizek, N. Barnett, N. Stanford, Q. Guo, R. O'Donnell, $1,000,000.
Deakin University internal
1. Internal grant of Institute for Frontier Materials (Deakin University) 2013, A. Glushenkov, L. O'Dell, Md M. Rahman, T. Tao, D. Gunzelmann, K. Romanenko, $20,000.
2. Deakin University Central Research Grant Scheme 2013, A. Glushenkov, M.M. Rahman, $22,000.
3. Deakin University Central Research Grant Scheme 2012, A. Glushenkov, $18,000.
4. Deakin University Research Equipment Support Scheme 2011, X.G. Wang, X.J. Dai, T. Tsuzuki, P. Hodgson, A. Kouzani, Y. Chen, B. Fox, P. Francis, M. Forsyth, C. Hurren, A. Kaynak, A. Glushenkov, L.H. Li, A. Kafi, E. Nuhiji, L. Sun, M. She, L. Kong, $110,000.
5. Deakin University Research Equipment Support Scheme 2011, B. Fox, X.G. Wang, A. Kafi, M. Forsyth, R. Horn, X.J. Dai, L. Henderson, T. Tsuzuki, X. Liu, R. Rajkhowa, K. Magniez, A. Glushenkov, $90,000.
6. Deakin University Central Research Grant Scheme 2010, A. Glushenkov, $10,000.
7. Deakin University Research Equipment Support Scheme 2010, T. Tsuzuki, Q. Guo, L. Kong, A. Kouzani, T. Lin. M.F. She, J. Dai, T. Anderson, P. Francis, A. Glushenkov, Y. Zhao, F. Ochanda, J. Fang, (2010), $118,000.
8. Deakin International Development grant 2014, Y. Chen, M. Forsyth, A. Glushenkov, P. Howlett, $12,000.
Research groups
* Nanotechnology and Energy Storage group
* Electron Microscope Facility
Key publications
A. M. Glushenkov, D. Hulicova-Jurcakova, D. Llewellyn, G.Q. Lu, Y. Chen, "Structure and capacitive properties of porous nanocrystalline VN produced by NH3 reduction of V2O5", Chemistry of Materials 22 (2010) 914-921.
T. Tao, A.M. Glushenkov, C.F. Zhang, H.Z. Zhang, D. Zhou, Z.P. Guo, H.K. Liu, Q. Chen, H.P. Hu, Y. Chen, MoO3 nanoparticles dispersed uniformly in carbon matrix: a high capacity composite anode for Li-ion batteries, Journal of Materials Chemistry 21 (2011) 9350-9355.
O. Kartachova, A.M. Glushenkov, Y.H. Chen, H.Z. Zhang, X.J. Dai, Y. Chen, "Electrochemical capacitance of mesoporous tungsten oxynitride in aqueous electrolytes", Journal of Power Sources 220 (2012) 298-305.
T. Tao, Y. Chen, D. Zhou, H.Z. Zhang, S.L. Liu, R. Amal, N. Sharma, A.M. Glushenkov, "Expanding the applications of the ilmenite mineral to the preparation of nanostructures: TiO2 nanorods and their photocatalytic properties in the degradation of oxalic acid", Chemistry – a European Journal 19 (2013) 1091-1096.
O. Kartachova, A.M. Glushenkov, Y.H. Chen, H.Z. Zhang, Y. Chen, "Bimetallic molybdenum tungsten oxynitride: structure and electrochemical properties", Journal of Materials Chemistry A 1 (2013) 7889-7895.
T. Ramireddy, M.M Rahman, T. Xing, Y. Chen, A.M. Glushenkov, "Stable anode performance of an Sb-carbon nanocomposite in lithium-ion batteries and the effect of the ball milling mode in the course of its preparation", Journal of Materials Chemistry A 2 (2014) 4282-4291.
O. Kartachova, Y. Chen, R. Jones, Y.H. Chen, H.Z. Zhang, A.M. Glushenkov, "Evolution of the electrochemical capacitance of transition metal oxynitrides with time: the effect of ageing and passivation", Journal of Materials Chemistry A 2 (2014) 12940-12951.
T. Ramireddy, T. Xing, M.M. Rahman, Y. Chen, Q. Dutercq, D. Gunzelmann, A. M. Glushenkov, "Phosphorus-carbon nanocomposite anodes for lithium-ion and sodium-ion batteries", Journal of Materials Chemistry A, 3 (2015) 5572.


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The beauties of patronage and exclusive lay control are illustrated by a news item that comes to us from over the water. The Duchess of Sutherland it appears has established a home for crippled children, a useful charity over which she evidently retains the supervision. A staff of doctors have until lately given their attention to the medical needs of the inmates, but very recently the titled patroness or proprietor of the establishment has introduced an hereditary bonesetter to treat them. The medical staff naturally have objected, and what the result will be has not thus far been revealed. The Duchess is herself apparently so well satisfied with the bonesetter that she insists upon his retention, and doubtless, after the manner of the laity, considers the physicians altogether in the wrong for refusing to co-operate —if that is the word—with him. It would seem, aside from the professional point of
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DECENT FEATURES of The North Face Ion 20 Pack Dual-density Hex-Mesh shoulder harness Large mesh pocket on stowable hipbelt Large zippered drop pocket on pack face Includes fitted rain cover The SPECS Average Weight: 1 lb 9 oz / 709 g Volume: 1404 cubic inches / 23 liter 210D HT ripstop Cordura nylon 70D ultralight 210HT ripstop nylon This product can only be shipped within the United States. Please don't hate us.. Price: $99.00
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Definition of Sauvignon in English:
(also Sauvignon Blanc)
noun[mass noun]
1A variety of white wine grape.
Example sentences
- The rustic Pais vine variety dominates plantings, especially in the rain-fed areas, although Cabernet Sauvignon, Sauvignon, and Merlot are also important.
- Increasing plantings here have made it our fourth most planted white after Sauvignon Blanc, Chardonnay and Riesling.
- One of the few examples of a Chardonnay / Sauvignon blend, this is one of my favourite quaffing whites at the moment, combining peachy Chardonnay ripeness with Sauvignon's gooseberry austerity.
1.1A white wine made from the Sauvignon grape.
Example sentences
- Australia is not as well known for its Sauvignons as New Zealand, but some of the wines coming out of Western Australia are outstanding.
- Some age their Sauvignons in new oak, disguising it as a sort of poor man's Chardonnay.
- Throw in some increasingly good Sauvignons from South Africa, Chile, Australia and Hungary and you have a much more diverse and interesting picture than you had even five years ago.
For editors and proofreaders
Line breaks: Sau|vi¦gnon
Definition of Sauvignon in:
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I'm in desperate need of a Pain Management Clinic, I have an L5 Herniated disc and it's messing with my Sciatica nerve . So if you could please recomend a Pain Management Office for me to go to as soon as possible, I would greatly apprecite it! Thank you very much!READ MORE
I need a doctor that i can recieve Pain Management through.
This question has not been answered by one of our experts yet.
You can contact the nearest VA Hospital for help in finding someone near you for help. Even if you are not entitaled to receive VA benifits.READ MORE
the spine team texas.
dr. bartalimi
everyone is great. the best.
i have the same thing you haveREAD MORE
The best way to find a pain clinic is to ask your primary care doctor for a referral to a pain specialist or pain clinic. This method also raises the likelihood your insurance will agree to pay. Otherwise check the listings at the Board of Anesthesiologists (online) for local doctors as most pain specialists are board certified in Anesthesiology.READ MORE
At first I was freaked out part of pain management was a shrinkI found an excellant one that has taught relaxation technics plus a combination of medicine that help.I hear(?) hypnosis helps also.I have a great chiropracter but insurance pays only 6 visits.With pain management for me at first they tried me.I have had back problems and fibro, brusitis and sciatic nerve.There are some exercises that he or she (pain mangmenment)Chronic pain I tell them can depress so yes to depression with a cause.Also find some yoga, and a whirpool pad from walmart in the bottom of tub really relaxes, we all face money..God bless>JackieREAD MORE
If I knew where u lived I could recommend the BEST and most caring, down to earth and understanding pain management Pain Doc there is!READ MORE


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We don't want you to simply tell us (that's no fun!), we want you to show us with this easy-to-use video app called Videolicious. It edits your shots and creates a professional-looking video automatically, and adds music, too! Send your beauty videos to us and then we'll share them with the SELF community. What's better than real tips from friends!
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Breaking Up With HealthCare.gov Is Hard To Do
Lara Imler was one of the first people in Alaska to sign up for health insurance on HealthCare.gov. Turns out, the website miscalculated her subsidy. She wants to start over and get a new plan. But a stubborn software kink is standing in her way.


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QUINCY — Quincy police are looking for the gunman who shot two young men as they sat in the rear of a taxi.
Police say the shooting occurred just before 4 a.m. Wednesday just as the cab pulled to the curb and the passengers were about to pay.
A 22 year-old man was shot in the elbow, treated at the hospital and released. A 19-year-old man shot in the stomach remains in the hospital with more serious injuries.
No names were released.
The cab driver drove the men to the hospital. His cab also sustained damage to the door and rear passenger window.
Police say it does not appear to be a random attack.
Location, ST | website.com


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How to Read Your Rabbit's Body Language
Part of the Rabbits For Dummies Cheat Sheet
Although your rabbit may make some sounds when communicating, bunnies do most of their talking with their body language. The following list can help you interpret what your rabbit is saying:
Hopping, leaping, and racing: Whoopee! I'm happy!
Binky-ing (a high jump, with vigorous twists): I am incredibly happy!
Kicking: If being held the wrong way, Let go! or, if playing, What fun!
Circling: I'm in the mood for love.
Flattening: I don't want you to see me. A scared rabbit will lower herself to the ground as if to hide.
Stretching out (on side or back): Ah, life is good. . . .
Ear shaking: I don't like that. Frequent ear shaking can be a sign of a medical problem and should be assessed by a veterinarian.
Head butting: Hey! A persistent rabbit will head-butt you when she wants something — petting, food, whatever.
Stomping: Warning or, maybe, I'm annoyed.
Biting: I don't like what you're doing. A gentle nip is a rabbit's way of saying I've had enough. You'll be able to tell the difference between a nip and a bite.
Sitting up tall: I'm curious, or Is there trouble afoot?
Licking: I love you.


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Emergency crews were called to Kansas City's east side after a cable line fell on a school bus.
Kansas City firefighters responded to 35th and Colorado streets about 6:40 a.m. because of initial concerns that the line could have been a power line.
Fire crews determined it was a cable television line, which was removed, and the bus was allowed to go on its way.
No one was hurt.
The views expressed are not those of this site, this station or its affiliated companies. By posting your comments you agree to accept our terms of use.blog comments powered by Disqus


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I'm going to tell you straight up, the Texans are going to take an Offensive Tackle early on. Derek Newton is not worth his contract, and Duane Brown looks like he's about to be on his last legs.
Marcus Gilbert didn't allow Von Miller a sack in 2 games. He's pretty good.
Updated 08/24 03:29 AM EST 9 hour(s) 36 minute(s) ago
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Here is a way too early Mock Draft for 2017.
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We booked the 6-hour Major Marine Tour of Kenai Fjords National Park, narrated by a National Park Ranger, who added a lot to our understanding of the animals' behaviors. Our tour featured outstanding wildlife, Humpbacks, Orcas, Stellar Sea Lions, and a great view of Holgate Glacier, a tidal glacier. The glacier calved a few times while we were there. Stay quiet and just listen. The tour returned to port just after 5:30 PM and Major Marine shuttled us to the cruise port to check-in in time before the 6 PM deadline. The weather was outstanding with cold air and calm seas. Lunch consisting of salmon and prime rib is offered for an extra charge, but we did not partake due to our concern for seasickness, so I cannot comment on the quality. If you book this tour, you must be prepared to prevent seasickness for the seas can be rough. We were lucky with our weather.
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Golden start for British swimmers in London
30th August 2012
Jonathan Fox became Great Britain's first aquatics gold medallist of London 2012 as he stormed home in the S7 100m Backstroke on the opening day of the Paralympic Games.
Having set a world record 1:09.86 to qualify fastest for the final, the Brit took the final by the scruff of the neck, shooting out of the blocks to turn in 32.95 – just 0.09 shy of his S7 50m Backstroke world record.
That's what the final is all about – trying to get that gold medal around your neck and that's what I've done so I'm really happy.
Ukraine's S6 European champion Yevheniy Bohodayko, re-classified just days before the Games, came back strongly and put pressure on the Brit in the final 25m.
But having come so close four years ago, Fox wasn't to be denied a second time and touched for victory in 1:10.46 ahead of Bohodayko (1:11.31) and Croatia's Mihovil Spanja (1:12.53).
And Fox admitted he had dug deep to hold on to his lead an claim the first Paralympic title of his career.
"It's just an amazing feeling," said Fox. "When you touch the wall and the crowd roars it's so good.
"It was another good time. I thought I might pip the world record again but I'm so happy to get the gold.
"That's what the final is all about – trying to get that gold medal around your neck and that's what I've done so I'm really happy.
"You always have it in the back of your mind, being able to see that guy coming back at you.
"You're dying inside and you just want to finish it but I stuck to it and got there first."
Competing in her fourth Paralympics, Nyree Kindred struck silver in the S6 100m Backstroke to collect the tenth Paralympic medal of her career.
Tonight I was aiming to go as hard as I can and I can't ask for more than that.
The world champion missed a year of swimming in 2011 to have a child with husband and fellow British Paralympic swimmer Sascha Kindred.
But having qualified fastest from the heats with a Paralympic record 1:27.96, Kindred knew she was back to her best and clocked a British record 1:26.23 to equal her result from 2000 and 2008.
China's Lu Dong won gold in a world record 1:24.71 but Kindred held off defending champion Mirjam de Koning-Peper who took bronze in 1:29.04.
"I knew tonight was going to be tough and I knew Dong was going to be fast and right up there," said Kindred.
"I don't have a strong kick off the wall so I expect to be down on the first 50m but I've got a very good second 50m and I proved that by coming back tonight.
"I can't complain about a personal best a year after having a baby.
"I've equalled what I did in Beijing. Tonight I was aiming to go as hard as I can and I can't ask for more than that."
Teenager Hannah Russell won S12 400m Freestyle silver with a British record in the first of five events on her Paralympic debut.
It's a dream come true. I've come here to try my best so to come away with a medal is a bonus and a cherry on top.
The prodigious 16-year old finished fourth in this event at last year's European Championships but underlined her potential by breaking the short course world record earlier in 2012.
And having already sliced 3.5 seconds from her British record to qualify fastest from the heats, Russell knocked another three off in the final as she touched in 4:38.60 behind Russia's champion Oxana Savchenko (4:37.89).
And despite missing out on gold by less than a second in a nail-biting dash for the wall, Russell insisted her expectations coming in to the meet had been modest.
"It's a dream come true," said Russell. "I've come here to try my best so to come away with a medal is a bonus and a cherry on top. I can't believe it.
"I just want to try my hardest in every event here. I've put all the training in so hopefully I can do a PB and get into another final.
"I could hear the crowd coming home on that last length so I just kicked as hard as I could and kept my head down to the finish."
Sean Fraser improved his ranking to finish sixth in his first final of London 2012 in the S8 100m Butterfly.
Having qualified seventh fastest in a season's best 1:05.94, the Scottish swimmer kept a similar pace in the final, touching in 1:05.99.
"That was a good time, similar to this morning and just outside my personal best," said Fraser.
"I was disappointed to get so close and not make it but this isn't my best event, maybe my third or fourth. So to swim so well so soon means I'm in a good place for the rest of the meet."
Competing in the first Paralympic final of her career, Susie Rodgers finished sixth in the S7 100m Backstroke.
The European champion improved on her heat time to touch in 1:26.03 - just 0.2 seconds shy of her British record.
Steph Millward and Claire Cashmore finished fifth and eighth repsectively in the S9 100m Butterfly final.
Millward touched just 0.05 off her season's best in 1:12.01 while Cashmore - who will defend her SB8 100m Breaststroke silver medal later in the Games - came home in 1:14.56 after a season's best 1:13.26 in the heats.
Harriet Lee and Gemma Almond finished seventh and eighth respectively in the first Paralympic finals of their careers.
Competing in the SM10 200m Individual Medley, Lee set a personal best 2:38.06 to qualify and stuck to a similar pace in the final, eventually touching in 2:39.42.
Meanwhile, British record holder Almond was just short of her best as she finished in 2:42.16, less than a second slower than her qualification time.
Finally, Anthony Stephens and Andrew Mullen came home sixth and eighth respectively in the S5 50m Freestyle.
After a season's best 35.59 in the heats, Stephens touched home in 35.74 while Mullen, who clocked a personal best 37.40 to qualify, finished in 38.08.
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This volume, by Maria J. Van Stockum of the Pasteur Institute, Bandoeng, Netherlands East Indies, is comprehensive and in two parts. Part I, on comparative rabies statistics, has three chapters, on a new method of analysis of rabies statistics, rabies statistics of natives in the Netherlands East Indies 1895-1932, and results obtained in other countries with the Hogyes method with rabbit fixed virus and with some methods with fixed virus killed or attenuated by means other than by drying. Part II is devoted to treatment accidents, with chapter 5 on the etiology and diagnosis of treatment accidents and on the prevalence of treatment accidents in those treated with the Pasteur and Hogyes methods.
The interest aroused by the title on the possibility of new principles of antirabic treatment is not sustained, for this portion of the title applies to the principles for handling rabies statistics. The author's treatment of the
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A major in criminal justice offers outstanding academic preparations for careers in law enforcement and corrections. The Department of Criminal Justice prepares students to contribute to the pressing social problems in the areas of crime prevention, protection and rehabilitation. A college degree is becoming necessary to advance in today's criminal justice careers.
Within the major of criminal justice, we offer three options: Law Enforcement, Corrections and Criminology. The primary purpose of the criminology option is to give students majoring in criminal justice a broader background in theories of crime and deviance. Courses in this option include organized and white-collar crime, criminology, family violence, criminal typology and victimology, and deviant social behavior. This option prepares students for managerial positions in corrections and law enforcement, federal law enforcement positions that require specialized skills, and/or graduate studies


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Blood of Dragons is the only author-approved MUSH based on George R.R. Martin's A Song of Ice and Fire. Play the Game of Thrones and become a part of the history of the Seven Kingdoms:
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Organizations describes various organizations and institutions in Westeros, discussing their function and purpose as well as their members.
The Westeros network consists of several different sites, including a forum and a wiki, for all your A Song of Ice and Fire needs.


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Definition of complement fixation test in English:
complement fixation test
A test for infection with a microorganism which involves measuring the amount of complement available in serum to bind with an antibody-antigen complex.
Example sentences
- Influenza A and B antibodies were measured using the complement fixation test.
- Using a complement fixation test with an antigen derived from a freshly cultured strain of unencapsulated H influenzae, an investigation of 74 patients with chronic bronchitis showed no change in antibody levels during exacerbations.
- Other methods like immunoelectroosmophoresis and modified complement fixation test were developed, but they lacked sensitivity.
For editors and proofreaders
Line breaks: com|ple|ment fix|ation test
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The first games are well underway. If you are in do not forget to start your game asap. See the Inaugural Tournament Bracket for details and links to all the games of the first round. More info about the tournament is available here. Good luck!
About this blogThis blog features news and updates for Weewar.com, the online multiplayer strategy game.
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- @odupont It should be working now. Took some time to allow free trials to players who previously had pro. Let us know if it doesn't work now 6 years ago
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Here's an example of how everyone can follow instructions, and still things can go wrong! In this adorable story, children learn that the key to success is cooperation.
The Menucha V'Simcha Series is written in a simple, clear and friendly style, perfect for children ages 2-5. These stories are full of imagination, humor and charm. Children will love them from the very start! And parents will appreciate the laminated, spill-proof pages that will help these books last for years!
20 Pages
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Updated 2016 MLB Playoff Odds
Joel Reuter
Is Losing MacDonald a Big Deal for UFC?
Chad Dundas
NBA Position Battles to Watch in Training Camp
Dan Favale
Yankees' Sanchez Is Just Getting Started
Jacob Shafer
Way-Too-Early NBA Award Predictions
Team Stream Now
Edit Teams
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Cards Hit 3 HRs, Break Loose to Beat Mets
New York Yankees
Sanchez Looks Like Yanks' True Franchise Cornerstone
New York Jets
Petty's 'Whole Picture Getting Clearer,' as He Progresses
New York Jets
Is Decker Poised for Breakout Season?
The Jet Press
NFL Draft
Bosa's Reps Fire Back: Chargers 'Manipulated' Facts
Mike Florio
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Tanaka Rolls as Yankees Blank Mariners
New York Jets
Bowles Affirms Geno Is Still No. 2 QB
DENNIS WASZAK Jr.
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Decker Is the NFL's Best No. 2 Wideout
NY Daily News
NFL Draft
NFL Source: UCLA's Rosen Needs to Drop Entitlement
NFL Draft
Chargers: Bosa Rejected Our 'Best Offer'
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FanGraphs: Gary Sanchez Is No Jesus Montero
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Yo Insists He's Staying with Mets After 2016
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Giants Owner Stands by Brown Amid DV Allegations
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Mets Place SP Niese (Knee) on 15-Day DL
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PFF: How All 31 1st-Round Picks Have Looked So Far
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Rodriguez Inks New Speaking Deal
New York Yankees
How the Shift Forced a Lineup Recalibration in NY
New York Post
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What Will September Call-Ups Look Like for Yanks?
Mike Axisa
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Who Is Better, Bulls or Knicks?
Kurt Helin
New York Mets
Starting 9: Dog Days of August
Solo Banned from USWNT for 6 Months
Joseph Zucker
Chargers: Bosa Rejected Our 'Best Offer'
Rob Goldberg
CFL Commish Comments on Manziel
Mike Chiari
James Harrison: 'I'm Going to Be Cleared'
Tyler Conway
Giants Owner Stands by Josh Brown
Scott Polacek
Ledecky Tells Bryce to Hold Her Medals
Zac Wassink
Finnegan Goes All Out for Pranks
Zac Wassink
Darvish Swats No-Doubter
Zac Wassink
Lochte to Join 'Dancing with the Stars'?
Alec Nathan
Gronk Thinks That Slogan Looks Familiar...
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Mamba Week: Kobe's 81-Point Masterpiece
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Rare Footage for Kobe Bryant Day
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Mamba Week: 'Kobe Stopper'
Team Stream Now
#BRxND: Welcome to Scholarship Nation
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'NBA 2K17' Unveils New Trailer
Andrew Gould
4'5" Streetballer: 5 More Inches and I'd Be Best Ever
BR Studios
Olympic Spirit Prevails in Rio—Barely
Lars Anderson
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Dual-Threat QB? 'That's a Code Word'
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JAN 21, 2013 - New York Times
A Must Read - Share
Is China becoming more of a competitive challenge to the United States, Europe and Japan through its rapid expansion of education?
Editor's Picks
Hey you have no friends!!! Get to work and start inviting friends to help build your Comunitee. Click Here to invite friends.
© 2011 Comunitee, Inc.


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Search Checkatrade for suitable tradespeople and add them to your list for them to call you back.
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Scores based on 390 reviews
Invoice history based on 214 reviews.
Ex electricity board professional Electricians (full apprenticeship served) specialising in all aspects of domestic electrical work, the company was founded in1986, and has over 40 years experience including full or part re-wiring, Testing & inspection for your home safety report or for home buying/selling purposes, (inc. landlords certificates)( visual or full report available) Extra sockets/lights Fuse board upgrades & garden electrics, Fault finding & ALL YOUR SMALLER JOBS WELCOME, All new work comes with a safety certificate and a SEVEN YEAR N.I.C.E.I.C. backed warranty.
ALL AREAS OF SURREY also s.e.london & KENT (FROM MAIDSTONE ALONG THE M20/26/25 CORRIDOR


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8:00 a.m. - The number of people unaccounted for in the Colorado flooding has dropped from 1,253 to about 595. In Larimer County, the number has dropped from 260 to 197.
6:00 a.m. - New evacuations ordered in Logan County for Town of Crook and some residents north CO 138
Monday, Sept. 16
9:45 p.m. - Boulder Office of Emergency Management statistics for the day's activities:
111 damaged homes
119 destroyed homes
28 damaged commercial
1 destroyed commercial
1,111 personnel working this situation
183 currently unaccounted people
567 total people who were once "unnaccounted for" have now been contacted
215 air rescues
11 ground rescues
120 pet rescues
7:17 p.m. - Newly released statistics from the Colorado Office of Emergency Management:
- Fatalities: 8
- Reported Missing: 648 (approximate and changing throughout the day - local counties have most current numbers)
- Evacuated Persons: 11,750
- Shelter Population Total: 536
- Shelters Open: 24
5:51 p.m. - The flood warning for the Arkansas River at Avondale has been canceled. The river never reached flood stage and is not expected to.
3:54 p.m. - A flood warning continues until Wednesday for the Arkansas River at La Junta. It is expected to crest at 12.2 feet. At that level, agricultural flooding can be expected. Everyone is urged to stay away from the river banks because they are loose and can easily give-way.
3:32 p.m. - Cheyenne Mountain Dist. 12: Cañon School will be closed on Tuesday September 17 while flood repairs continue.
3:16 p.m. - North Cheyenne Canyon Park is closed until further notice because of unsafe conditions caused by rain and flash flooding. A damage assessment will need to be completed before determining when it might be safe to reopen the park.
2:44 p.m. - The Colorado Springs Police Department says a body was found in the west fork of Sand Creek near Platte and Wooten this morning. An autopsy is pending.
2:39 p.m. - Newly released statistics:
2:36 p.m. - If you recently sustained loss or damage due to severe storms, flooding, landslides and mudslides, you may be eligible for disaster aid. Counties that are currently covered by the Major Disaster Declaration are; Adams, Boulder, Larimer, and Weld. To register, call: 1-800-621-FEMA (3362)
12:38 p.m. - CDOT has pushed the rocks off the road and both westbound lanes of highway 24 are now open.
12:28 p.m. - State patrol says the right lane of westbound highway 24 is blocked near Cave of the Winds due to a rock slide. The left lane is open.
12:15 p.m. - A rock slide has been reported in the area of US 24 and Cave of the Winds. We have a team going to check it out.
11:53 a.m. - The Colorado Office of Emergency Management is reporting more than 1,250 people missing statewide, but officials say that estimate is expected to fall when new figures are announced later Monday.
11:45 a.m. - Manitou Avenue remains closed between Crystal Hills Park Road and the U.S. 24 interchange in Manitou Springs.
Sunday, Sept. 15
8:00 p.m. - Evacuations ordered in parts of Longmont due to flooding.
6:45 p.m. - The city of Colorado Springs is working on repairs on the north end of the city including a sinkhole repair on Vickers near Rangewood and another sinkhole on Flintridge near Austin Bluffs & Academy.
4:32 p.m. - The latest state-wide statistics from the Colorado Office of emergency management.
|Fatalities: 5
Reported Missing: 1,253 (approximate and changing throughout the day)
Evacuated Persons: 11,700
Shelter Population Total: 1,872
Shelters: 26 Shelters open
Residential Structures: 17,494 damaged | 1.502 destroyed
4:15 p.m. - Highway 24 was closed by CDOT and State Patrol because of falling rocks and standing water on the road near Ridge Road.
3:30 p.m. - CDOT crews working on clearing culverts near Highway 24 through Ute Pass of debris to prevent flooding. The highway remains open to traffic.
2:15 p.m. - CSPD tweet: CSFD Heavy Rescue conducting vehicle rescue at Seiferd Blvd & Date.
1:59 p.m. - CSPD tweet: Avoid Academy @ Half Turn, 1 blk North of N. Carefree- street flooding.
1:53 p.m. - CSPD tweet: Avoid Powers@ Barnes, Dublin @ Montarbor, Rangewood @ Vickers, Date @ Siferd due to street flooding


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What's the best thing about summer? Hint: They're awesome and they barely cover hot girls' junk.
The Mexican immigrants of the world aren't being heard loud enough and Philip Norris has some ideas on who might lead them. Hint: one of them isn't your mom.
The O.C is Chino-riffic and filled with witty dialogue, rich girls in skimpy bikinis, and plenty of good indie music. See what O.C character you are in this here quiz.


text: gov.house.ogr.go.20111207House Oversight CommitteeUploaded by Public.Resource.Org from House.Resource.Org.2011-12-07House Oversight Committee - A Medicaid Fraud Victim Speaks Out: What's Going Wrong And Why? - Joint Hearing with the Subcommittee on Government Organization, Efficiency, and Financial Management and Subcommittee on Health Care, District of Columbia, Census, and the National Archives. Witnesses: Panel I: Mr. Richard West, Victim of Medicaid Fraud; Ms. Robin Page West, Attorney, Cohan, West, and Karpook, P.C. Panel II: Ms. Angela Brice-Smith, Director, Medicaid Integrity Group, Centers for Medicare and Medicaid Services; Mr. Gary Cantrell, Assistant Inspector General for Investigations, Office of the Inspector General, Health and Human Services; Ms. Carolyn Yocom, Director, Health Care, Government Accountability Office; Ms. Valerie Melvin, Director, Information Management and Human Capital Issues, Government Accountability Office. Video provided by U.S. House of Representatives.Englishhttp://creativecommons.org/publicdomain/zero/1.0/moviesoversight.house.gov;public.resource.orgA Medicaid Fraud Victim Speaks Out: What's Going Wrong And Why?FedFlixusgovfilmsnewsandpublicaffairs2011-12-12 20:55:firstname.lastname@example.com 20:55:07


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Learn more about LittleBigPlanet: Game of the Year Edition Greatest Hits. (Flash demo) Enter a game where the only limit is your own imagination. In LittleBigPlanet, the world is yours to create and share. From the uniquely styled and customizable SackBoy to awe-inspiring tools that give you the power to build your own one-of-a-kind levels, LittleBigPlanet invites you to draw on your own imagination to design amazing creations that thrill, inspire and challenge. In LittleBigPlanet, next-generation gaming ascends to a new level with a game that not only engages you with a variety of thrilling and challenging levels, but also inspires you to create your own. Customize your SackBoy character to reflect your personality, then play your way through 50 awe-inspiring levels. Along the way, you'll be able to collect more than 500 objects that you can use to create your own dazzling and imaginative worlds. You can even share your levels with others online so they can experience the joys of playing through a world of your creation. This exciting Game of the Year Edition comes packed with even more content designed to fuel your imagination, including 18 new bonus levels designed by LittleBigPlanet community members and bonus costume and level packs, including the Metal Gear Solid level pack.. Price: $29.99
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1. New York, NY
2. Chicago, IL
3. Boston, MA
4. Oakland, CA*
4. San Francisco, CA*
6. Washington, DC
7. Philadelphia, PA
8. Long Beach, CA*
8. Los Angeles, CA*
10. Atlanta, GA
11. Seattle, WA
12. Houston, TX
13. Miami, FL
14. Baltimore, MD
15. Arlington, TX
15. Dallas, TX
I currently live in Nashville and they have about the worst public transit in the country. You need a car to live here!
Hope that helps,
The one place I would say is not very good is South Florida. it is OK, but is far from the best.
New York's subway is a superb example of what can be done with mass transit.


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The Standards
High School: Algebra
Arithmetic with Polynomials and Rational Expressions HSA-APR.C.4
4. Prove polynomial identities and use them to describe numerical relationships. For example, the polynomial identity (x2 + y2)2 = (x2 – y2)2 + (2xy)2 can be used to generate Pythagorean triples.
With the increase in technology and this huge new thing called the Internet, identity theft has become a worldwide problem. For this reason, it is paramount to keep important information such as addresses and telephone numbers as private as possible when online. If not, you might have thieves coming to your home and stealing your polynomial identities.
Sure, your identity should be kept safe too, but we were talking more about polynomial identities. A polynomial identity is just a true equation, often generalized so that it can apply to more than one situation. For instance, (x2 + y2)2 = (x2 – y2)2 + (2xy)2 is true for any x and y. But how can we be sure that's true unless we prove it?
Students should be able to prove identities by showing that one side of an equation is equal to the other. That just takes the same skills they use to organize equations and expressions. They can leave their room-cleaning skills at home, since we all know how organized those are.
To prove polynomial identities, students can either work from one side of the equation to try to derive the other side, or can work from both sides to get the same thing. Both are just fine as long as both sides end up being exactly the same. The goal is to make both sides identical.
Students should also understand the use of certain identities. Sometimes, memorizing an identity is quicker than working out the algebra longhand, and other times the identity applies to a particular context.
We can prove the identity (x2 + y2)2 = (x2 – y2)2 + (2xy)2 by manipulating the equation step by step, showing our work as we go. We'll change only one side of the equation and see if we can change it into the other side.
(x2 + y2)2
= (x2 + y2)(x2 + y2)
= x4 + x2y2 + y2x2 + y4
= x4 + 2x2y2 + y4
= x4 – 2x2y2 + 4x2y2 + y4
= (x4 – 2x2y2 + y4) + 4x2y2
= (x2 – y2)2 + (2xy)2
There. Since both sides are equal, we can call this equation an identity. The identity is true for all values of x and y. For x = 4 and y = 2? Yep. How about for x = -1 and y = 398,128? You betcha.
Aligned Resources
- ACT Math 4.5 Elementary Algebra
- Multiplying Polynomials
- Factoring Polynomials by Grouping
- CAHSEE Math 4.5 Algebra I
- CAHSEE Math 4.5 Measurement and Geometry
- CAHSEE Math 4.5 Statistics, Data, and Probability I