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I chose "other."
I used to reload when I was into competition shooting, but I dropped it when I quit competing. I was a REloader rather than a HANDloader, and only did it so I could afford to shoot the vast quantities of training ammo practical shooting requires. Nowadays I just don't go out and shoot 1000 rounds every weekend. It's more like 400-500 rounds a month through my main gun these days.
Now I find I'd rather spend my time doing other things, versus sitting at the bench. I am in a comfortable enough financial position now - as opposed to my misspent youth - to be able to pay someone else to make my ammo. Then I can spend my time with my family, traveling, shooting, or whatever.


text:
[quote user="MattMeyerBud"][quote user="JPizzack"]I'm inclined to agree about Dezz's point about TT. I feel he's overrated by alot of people, and I view his talents as more of a safety than a CB. Combine that with 2 ACL injuries...the guy is walkin the line with even being either.
I was so confused 2 seasons ago when people were praising TT's play, when most of the time i saw him he was getting ****ing smoked down the sidelines by all WRs.
This is one of those things im willing to eat crow with if he comes back this year plays like a boss....cuz it's not that i dont like him...I just don't think he's that great.[/quote]
dont mistake webster being underrated and not targeted as a weak point on T2.
When will you learn to stop questioning Reese
imgrates[/quote]What is an imgrate? Is that an immigrant ingrate?

subset: commoncrawl


text:
Location: Forage-animal Production Research
Project Number: 6440-32630-002-01-S
Project Type: Non-Assistance Cooperative Agreement
Start Date: Jun 17, 2008
End Date: Apr 30, 2013
Objective 1. Improve persistence, productivity, and quality of forage grasses and legumes for use in the transition zone of the Eastern and Midwestern U.S. Objective 2: Identify the biotic components and mechanisms of the animal-plant interface impacting grazing animal health and production. Objective 3: Improve animal and forage productivity of forage-based systems through optimization of grazing and preconditioning management protocols.
Forage systems provide low cost feed, conserve soil and water resources, and mitigate man's impact on the environment. Limited basic biological information exists on how plant and/or fungal metabolites affect forage plant quality, persistence, and production. Even less information exists on the cross-talk mechanism between tall fescue (the predominant forage of the transition zone) and its endophyte or about the impact that forage and/or fungal metabolites have on pasture ecosystems. Additionally, basic biological information is limited on how plant metabolites affect animal performance and health beyond the production level. Fundamental information concerning how these production level effects are elicited has only recently become a focus. As such, the available information for predicting animal performance in response to plant nutrients under varying environmental, genetic, physiological status, and management conditions is of limited use. Even more problematic is the poor understanding of the effects of plant nutraceuticals and anti-quality factors on nutrient intake, metabolism and assimilation for product, health maintenance, or work by the animal. Thus, to increase the sustainability of forage-based animal enterprises, it is essential that a better understanding be developed of the fundamental biological processes underlying the interactions between the animal, plant, and environment. This Specific Cooperative Agreement (SCA), through the development and utilization of cutting-edge technologies, real world testing, and technology transfer, proposes to help decipher the complex interactions within the animal-plant-environment interface in order to improve forage production and persistence as well as forage-animal health, performance, and forage intake and utilization. Research is focused on the utilization and production of the predominant forage (tall fescue) of the transition zone and its alternatives and/or companion species. To accomplish the objectives of this SCA, a number of differing methodologies including molecular and chemical investigations of animal tissue and cellular function, nutrient flux experiments in cattle, classical animal nutrition studies, doppler ultrasonography, molecular and chemical investigations of plant/fungal metabolites and physiological function, pasture ecological studies, forage breeding and applied grazing trials, will be utilized.


text:
Lisa Mitchell
February 07, 2013 , 4:15 PM by Hayley Crane
Lisa Mitchell has returned to Melbourne with her latest album, Bless This Mess.
She says her songwriting has developed in this record, but she's still held onto her indie pop roots.
Lisa plays a track called The Present from the album.
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text:
Meaning of "put sth to one side" - Learner's Dictionary
(Definition of "put sth to one side" from the Cambridge Learner's Dictionary © Cambridge University Press)
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Create and share your own word lists and quizzes for free!
Word of the Day
used to describe something that is very strange and unpleasant because it is connected with death or violence


text:
Switzerland gives US$3 million for mine action in CambodiaNov 26, 2013
Phnom Penh – Swiss Agency for Development and Cooperation (SDC) has given US$ 3 million for mine clearance in Cambodia. The fund will be used to support various activities under the Clearing for Results Phase II (CfR) project, which is implemented by Cambodian Mine Action Authority (CMAA) and managed by UNDP, until the end of 2015.
Ms. Rahel Boesch, SDC's Director of Cooperation, and Ms. Setsuko Yamazaki, UNDP Country Director, signed the funding agreement during a ceremony on 26 November, which was witnessed by H.E. Prak Sokhonn, CMAA's Vice President.
In her remarks, Ms. Boesch said the financial contribution demonstrated the firm commitment of Switzerland to fight against anti-personnel mines and the consequences of cluster munitions, as well as other explosive remnants of war. "It is our conviction that all citizens in the world deserve a minimum of human security and protection from the danger posed by these weapons not only during, but also post-violent conflict," she said.
Since 2006, the Clearing for Results project – which has also received support from other international donors including Canadian International Development Agency (CIDA), Australian Agency for International Development (AusAid) and Austria – has helped get rid of the deadly devices and free more than 54 square kilometres of land in Cambodia. Some two-thirds of the cleared areas have been converted into farmland. The project has also contributed to strengthening of national capacities to regulate, coordinate and monitor the sector.
"With the USD3 Million from SDC, the project is expected to fast track the achievement of the mine clearance objectives so as to release more land for productive use by the communities," Setsuko Yamazaki, Country Director of UNDP Cambodia, said in her remarks at the ceremony.


text:
Lake, Beach, Mountains—Tahoe Has It All
Beach Retreat & Lodge at Tahoe • South Lake Tahoe, CA
Escape Kit
- A Two-Night Stay for Two in a Garden View Room, Sundays through Thursdays ($173)
- Or, a Two-Night Stay for Two in a Garden View Room, Fridays and Saturdays ($209)
- $40 Food-and-Beverage Credit
- Bottle of Wine Upon Arrival
- Combine Vouchers to Stay for Up to Four Nights
The Destination
Whether it's stretched out in a hammock or on the back of a snowmobile, Lake Tahoe's peaceful water and thick pine forests provide a serene setting for recreation any time of year. Take a gondola to the top of Heavenly Mountain—ski down, or hop off midway at the observation deck for incredible views of the lake and the surrounding Sierra Nevada peaks. Summer visitors can bask in the cool weather while mountain biking, kayaking, and golfing.
The Digs
Enjoy a glass of wine in front of the gas fireplace or out on the terrace of a Garden View Room at the Beach Retreat & Lodge at Tahoe. The South Lake Tahoe location provides waterfront access with a private beach and a 1,000-foot pier. Winter guests can take advantage of the complimentary shuttle to ski resorts, while summer travelers score with the full-size beach volleyball court, heated outdoor pool, daily barbecues, and on-property marina for boating and parasailing. Breakfast is a few steps away in the kitchen34eleven, and the Boathouse on the Pier serves lunch and dinner with views that make you want to linger for dessert.
"The room was nice with a gas fireplace and nice hardwood molding throughout. I loved the location right on the beach and the nice pier and restaurant on the pier too, but the real gem for me was their restaurant located in the lobby!"-- TripAdvisor
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the fine print
- Limit 2 per customer, up to 2 additional as gifts
- May combine unlimited vouchers for an extended stay
- Valid for stays until June 13, 2013
- Voucher valid for 2 guests
- Reservations required and subject to availability; not valid on existing reservations
- Merchant cancellation/rescheduling policy of 24 hours applies; voucher subject to forfeiture
- Based upon double occupancy
- Taxes/Resort fees not included
- Nights must be spent consecutively; all inclusions must be redeemed during one stay
- Blackout dates: May 24-25
- Other conditions apply • PAID AND PROMOTIONAL VALUES EXPIRES ON June 13, 2013 • PAID VALUE DOES NOT EXPIRE • PAID VALUE EXPIRES ON June 13, 2018 • PROMOTIONAL VALUE EXPIRES ON June 13, 2013 • Enjoy By June 13, 2013
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text:
Voice from the past.
Well it's been over a year since I last logged in here. I'm still working at the same job I had before doing Tier 3 tech support for a company in the DPI industry. Just FYI, I got the job thanks to the CEH certification I had after winning a tutorial book and exam voucher here @ EH Network. Thanks again Don!!!
Anyway I hope everyone here is doing well.
There are 10 kinds of people, those that understand binary, and those that don't.


text:
The J.T. Show
Alternative content
7/16/14: 11:05 am- Dr Elaina George is a Board Certified Otolaryngologist : Topic: Threat Of Disease Epidemic From Illegal Immigrant Flood
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text:
The Friends of the Royal Oak Public Library promotes and publicizes the services of the Royal Oak Public Library, sponsors and assists with special programs, raises funds for materials and equipment and encourages gifts, memorials and endowments to the Library. Friends volunteer to help with Library programs such as the free book program, Reading is Fundamental (RIF) and the summer reading program. Others help on a weekly basis in the Library.
- Members receive a quarterly newsletter, early access to the Friends' annual used book sale, the satisfaction of helping in a worthy cause and tax advantages associated with your contributions.
- The annual membership fee is $10 for a single membership, $20 for family, $50 for a business or organization, and $100 for patron.
- The life membership fee is $200. To join, send the fee with your name and address to Friends of the Royal Oak Public Library, PO Box 494, Royal Oak, MI 48068-0494, or leave at the circulation desk.
Friends Shop
Visit the Friends Used Book shop in the Library! You will find some fine bargains and help the Library too. The Friends have great deals on books, magazines, and videos; and, though small, a surprising variety and range of materials. Stop in on Mondays, Wednesdays and Thursdays 10:00 AM - 8:00 PM, and Saturdays 10:00 AM - 3:00 PM. Call the library at 248-246-3700 to find out how to donate or if you would like to volunteer as a shop worker!
Friends Board
The Friends of the Royal Oak Public Library Board is elected from the membership at the annual meeting each September. Terms are three (3) years long. The Friends Board meets monthly on the third Monday in the Library.
- Margaret Blount, President (9/2018)
- Ann Barbour, Vice President (9/2018)
- Larry Baker, Treasurer (9/2019)
- John Pelegrino, Corresponding Secretary/Social Media (9/2017)
- Melissa Kaunelis, Membership & Publicity/Newsletter (9/2017)
- Lyndsay Sloan, Recording Secretary & Publicity/Newsletter (9/2019)
- Jenni Beljak, Member-at-Large (9/2018)
- Kathleen Marcaccio, Member-at-Large (9/2018)
- Vanessa Salliotte, Member-at-Large (9/2019)
- Mary Beer, Member-at-Large/Interclub Council (9/2017)
- Beth Sowulewski, Member-at-Large (9/2017)


text:
Click the links below to find more information:
Acceptance into the MD/PhD Program at the University of Mississippi Medical Center requires prior admission into Medical School. Moreover, in addition to completion of all Medical School application materials, the applicant must also submit their GRE scores and a written personal statement indicating the reasons for choosing the MD/PhD Program (see options on the School of Medicine's Secondary Application). Since the purpose of the MD/PhD Program is to train clinical researchers, each applicant should list under "Experiences" in his/her American Medical College Application Service (AMCAS) application all relevant research experience and research presentations and provide at least one letter of recommendation from an individual capable of evaluating the applicant's research potential. All application materials should be sent to the Associate Dean for Medical School admissions. MD/PhD applicants who are invited to interview with the Medical School Admissions Committee will also meet with one or more members of the Graduate School's MD/PhD Admissions Committee. Prior to the interview with the Graduate School, the student must complete the Graduate School application for the PhD in Physiology Program.
2500 North State Street
Jackson, MS 39216
General Information: 601-984-1000
Patient Appointments: 888-815-2005


text:
Bestar Connexion OfficePro 93000 3-drawer U-Shaped Desk with Hutch, Slate/Sandstone
- $ 849 00 849.00
- Shipping
- Free shipping
- Enter ZIP Code for shipping options
- Estimated arrival
About this item
OfficePro 93000 is a contemporary and durable collection that features a wide variety of configuration options that will adapt to your specific needs. The worksurface is made of a durable 1" commercial grade melamine finish that resist scratches, stains and wears. It features an impact resistant 0.25 cm PVC edge. Grommets and a rubber strip are available on the station for efficient wire management. The executive desk, the credenza, the hutch and the bridge meet or exceed ANSI/BIFMA performance standards. The hutch for credenza offers large closed storage space, efficient wire management and two large paper shelves. The doors are fitted with strong lift up hardware. The pedestal offers two utility drawers and one file drawer with letter/legal filing system. One lock secures bottom two drawers. The drawers are on ball-bearing slides and the keyboard drawer features double-extension slides for a smooth and quiet operation. The station is fully reversible.
- Durable 1" commercial grade work surface
- Melamine finish that resist scratches, stains and wears
- Impact resistant 0.25 cm PVC edge
- Efficient wire management
- Pedestal with two utility drawers and one file drawer
- Lock to secure bottom two drawers
- Executive desk, credenza, hutch and bridge that meets or exceed ANSI/BIFMA performance standards
- Hutch with large closed storage space and two large paper shelves
- Drawers mounted on ball-bearing slides
- Keyboard drawer
- The station is fully reversible
Manufacturer Info
For additional questions or concerns regarding this product, please contact the Manufacturer's Customer Service Department at 1.888.823.7827
Assembled Country
Assembled Size
71.1 x 92.4 x 65.8
Component Country


text:
Member Sign-In
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Weekly FREE trip giveaways!
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sign in and get ready to save!
SIGN-UP FREE & START SAVINGsign up now
we will not spam you or sell your email address
Weekly FREE trip giveaways!
we will not spam you or sell your email address
4-Star TripAdvisor-rated St. James's Club Morgan Bay features a comprehensive all-inclusive program that includes breakfast, lunch, dinner and beverages, including all spirits, at four restaurants and five bars. Free room service is also available for lunch and dinner. Snacks and refreshments are provided throughout the day while live music and shows entertain guests nightly. A wealth of water sports and land activities are also complimentary: windsurfing, sailing, kayaking, snorkeling, table tennis and more. The resort additionally features four freshwater pools, an adultsupervised kids' club, four tennis courts, a fitness center and a full-service spa. All this starting at just $112/person per night (based on double occupancy). Book now before this deal disappears!
All-inclusive getaway features:
(2-night minimum stay required)
Nestled on a beautiful beach, St. James's Club Morgan Bay is a vibrant, colorful, and refreshingly casual all-Inclusive resort just minutes from the world-class Rodney Bay Marina, Cap Estate Golf Course, and St. Lucia's capitol city of Castries. It features a wide array of wonderful facilities and amenities for an unforgettable all-inclusive escape to the warm Caribbean sunshine. Relax on the beach or by any of 4 swimming pools. Dine in a choice of four restaurants featuring everything from waterfront casual to romantic gourmet cuisine by candlelight – even room service is also available! All drinks are included at a five bars and lounges. Activities abound with a fine selection of non-motorized watersports, tennis and a fitness center. Fun-filled classes are offered for a wide array of activities from West Indian dance and aerobics to St. Lucian cooking and yoga. And when the sun goes down, there's live nightly entertainment featuring local artists, DJs and fun-filled karaoke where you're the star of the evening!
The Morgan Bay Beach Resort pampers guests with top-notch luxury and lovely Caribbean flair. All rooms feature air-conditioning and a ceiling fan along with stunning ocean views.
Room amenities feature:
Resort restaurants serve up a mix of distinctive Caribbean dishes and international favorites, sure to satisfy any craving and appetite. Bars feature name-brand drinks in a lovely tropical atmosphere. The Morgan Bay Resort offers a choice of distinctive dining experiences with plentiful meals and unlimited drinks all day, every day!
Food and Beverage Options:
There's so much to do on St. Lucia. Here's just a taste of some of the highlights:
The Pitons
Seemingly rising from the deep blue Caribbean Sea just south of Soufrière Bay, these two unusual mountains are a symbol of St. Lucia and also a UNESCO World Heritage Site. Named "Gros Piton" and "Petit Piton", these iconic towering peaks are located near the city of Soufriere on the Southwestern coast of the island. The Pitons are technically known as "plugs, formed from lava spewing from volcanic eruptions more than 30 million years ago. While it's possible to climb them, they truly are best enjoyed from afar. TIP: The Island's local beer is named after these two mountains – it's probably the best way to enjoy "Les Pitons".. while sipping one too!
St. Lucia Jazz Festival
Saint Lucia Jazz has become one of the most anticipated events on the international music festival circuit. St Lucia is a legendary party host, flexible, always catering to the needs of its visitors. What started long ago with a performance of one celebrity musician to welcome visitors is now catering to thousands from all walks of life who need to be free of cultural barriers. The result is a party lasting many days. Jazz is center stage but there is a fusion of R&B, Soul, Pop, Musica Latina, Reggae, Soca, Zouk and other music truly rivaling the Billboard Charts, attracting patrons from around the globe. Past performers include Kenny G, Air Supply, John Legend, Rihanna, Santana and many more.
St. Lucia has been a part of the British Commonwealth since 1803. But prior to that, it was often occupied by the French, which is evident in much of the island's culture. Castries offers a colorful local market and great shopping. And the surrounding areas offer lush rain forests, striking waterfalls, beautiful beaches and Sulfur Springs - the world's only drive-through volcano. It's a great place for duty-free shopping – you'll find the best near the bustling harbor / port area. There's also an outdoor market featuring a wide array of straw goods, along with local handicrafts, fabrics and fashions. Castries also has a few landmarks for sightseeing and history buffs including the Cathedral of the Immaculate Conception, Government House and Fort Charlotte.
The Bays of St. Lucia
There are two renowned "Bays" in this beautiful island nation. Marigot Bay was named "the most beautiful bay in Caribbean" by the author James Michener. It's an historic landmark, having been the site of a number of battles between the French and British navies. It's absolutely magical, and surrounded on three sides by steep green hills leading to the water – it's one of the prettiest natural harbors in all of the Caribbean. Rodney Bay is on the island's northwestern coast, and is the place where you can climb aboard the brig ship Unicorn, used in the Pirates of the Caribbean movie!


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forum: Everything else
#11 Wed 17 Feb 10 11:06pm
- Member
- Member since Tue 19 Jan 10
Re: Pancakes !
always used to be lemon juice and sugar until I tried marmalade sauce :-)))))
#12 Thu 18 Feb 10 4:03am
- Forum super champ
- From Melbourne Australia
- Member since Sun 12 Apr 09
Re: Pancakes !
i grew up with the idea that pancakes were quite thin and had sugar and lemonjuice sprinkled on them. I was delighted to discover maple syrup, and then to discover savoury pancakes.
But my daughter was ABSOLUTELY HORRIFIED when I dished savoury pancakes up to her for the first time. She was four I think, and little miss sweet tooth. She thought it was SACRILEGE to have savoury pancakes!
She likes them now though!
#13 Thu 18 Feb 10 4:07am
- Forum champ
- Member since Wed 23 Jul 08
Re: Pancakes !
minerva wrote:
... sweet OR savoury please, not both on the same plate at the same time! ...
now come on min, don't be a shrinking violet, you have to experience the combo sweet/savoury, it's a whole new world!
#14 Thu 18 Feb 10 5:07am
- Member
- From Ontario, Canada
- Member since Mon 11 Jan 10
Re: Pancakes !
Every year a stack with butter maple syrup,peameal bacon,sausages and a big ole glass of milk! But am very curious about savory pancakes tho! They sound interesting!
#15 Thu 18 Feb 10 8:43am
- Forum champ Occupation Volunteer
- From Oregon Coast USA
- Member since Sat 22 Nov 08
Re: Pancakes !
jutta73 wrote:
Oh forgot to mention that i love potato pancakes - german style with apple sauce...yummy!
Here is my entry on the blogs from when I recently made them.
http://www.jamieoliver.com/bloggers/vie … p?id=56877
hey, Jutta!
I saw your post and I made your potato pancakes for dinner tonight. They were good, they worked perfectly, thanks for the heads up about the oil!
#16 Thu 18 Feb 10 8:47am
- Forum champ Occupation Cook, cleaner, nanny, personal assistant, shopper - all without pay!
- From Melbourne, Australia
- Member since Mon 20 Apr 09
Re: Pancakes !
RWR I am so glad you liked them!
#17 Thu 18 Feb 10 9:16am
- Forum champ
- From Scotland
- Member since Wed 06 Apr 05
Re: Pancakes !
I love the sweet and savoury combo, too, and we often make American style pancakes for brunch on a weekend, but I also like the thinner, UK style pancake - both with sweet (preferably lemon juice and sugar) and savoury fillings/toppings. One of our au pairs used to make the most delicious potato pancakes, so I think I'll have to give your's a go, Jutta
#18 Thu 18 Feb 10 9:18am
- Forum champ Occupation Cook, cleaner, nanny, personal assistant, shopper - all without pay!
- From Melbourne, Australia
- Member since Mon 20 Apr 09
Re: Pancakes !
I recommend that you serve the potato pancakes with apple sauce, takes it to another dimension in my opinion. I made my own using the recipe in The Naked Chef.
#19 Thu 18 Feb 10 11:24am
- Member Occupation Web Designer
- From Netherlands
- Member since Wed 02 Sep 09
Re: Pancakes !
I enjoy pancakes the most filled with bacon, tomatoes, onion, mushrooms, oregano and topped with cheese. For sweet pancakes I prefer the American thick ones with maple syrup.
#20 Thu 18 Feb 10 11:29am
- Member Occupation Journalist
- From London
- Member since Fri 07 Nov 08
Re: Pancakes !
My OH is a master at making crepes (thin pancakes)! I have never had them with savoury toppings - I always associate them with sweet toppings. On Tuesday I went to a pancake party and it was really interesting to see how people topped their pancakes! The most common toppings were: Nutella and bananas; Nutella, vanilla ice cream and rasperries (my favourite!) and maple syrup and icecream.
I'm glad it's not pancake day every day


text:
I prefer the term sheepish
Uh, no he's not. He's projected as a Right Tackle at the next level.
Andre Smith and Phil Loadholt are 2 of the best RTs in the NFL. Both are similar in skill set to Fluker. Foot speed is not important for a RT. Most strong-side DEs in the NFL are not pure speed rushers.
And Ware typically lines up on the weak side, not the strong side. Meaning, he mostly faces LEFT tackles. You don't even know what the hell you're talking about.
Last edited by EliManningUp; 04-12-2013 at 12:48 PM.
Giants were 19th in the NFL in # of snaps with 3/4/5 receiver sets.
Bottom half of the league.
And that's with garbage at RT.
With a mauler like Fluker at RT, we would run even less 3/4/5 receiver sets.
BTW, Mike Mayock has stated that Fluker can even play Left Tackle in the NFL
You're an idiot if you think Fluker is a pure guard prospect.
Based on that logic, Andre Smith and Phil Loadholt should be nothing but guards. They're 2 of the best Right Tackles in the NFL!
Last edited by EliManningUp; 04-12-2013 at 12:49 PM.


text:
World dairy prices were up again in the latest overnight dairy auction, lifting 1.1 per cent from two weeks ago.
It is the third straight lift in the Fonterra- run GlobalDairyTrade auction of dairy products.
Prices for whole milk powder, which typically accounts for more than half the product sold, rose 2.8 per cent to US$3288 per tonne.
The total volume sold was 40,418 tonnes across 12 rounds of bidding. That was down from 45,252 tonnes at the last auction.
The sale comes ahead of next Monday's debut inclusion of the Fonterra Shareholders' Fund in the NZX 50 Index. The units have been climbing in anticipation of that event, up from $7.31 to $7.49 since last week's announcement, closing yesterday at a new record of $7.49.
Today's sales give unitholders an update on global pricing of Fonterra's products and may be reflected in the units when they resume trading today on the NZX and ASX.
See more details of the auction here.
with BUSINESSDESK


text:
The mathematics of Sudoku, a puzzle that boasts "No math required!"
Brian Hayes
Counting Solutions
In the search for general principles, a first step is to generalize
the puzzle itself. The standard 81-cell Sudoku grid is not the only
possibility. For any positive integer n, we can draw an
order-n Sudoku grid with n 2 rows,
n 2 columns and n 2 blocks;
the grid has a total of n 4 cells, which are to
be filled with numbers in the range from 1 to n
2. The standard grid with 81 cells is of order 3. Some
publishers produce puzzles of order 4 (256 cells) and order 5 (625
cells). On the smaller side, there's not much to say about the
order-1 puzzle. The order-2 Sudoku (with 4 rows, columns and blocks,
and 16 cells in all) is no challenge as a puzzle, but it does serve
as a useful test case for studying concepts and algorithms.
How many Sudoku solutions exist for each n? To put the
question another way: Starting from a blank grid—with no
givens at all—how many ways can the pattern be completed while
obeying the Sudoku constraints? As a first approximation, we can
simplify the problem by ignoring the blocks in the Sudoku grid,
allowing any solution in which each column and each row has exactly
one instance of each number. A pattern of this kind is known as a
Latin square, and it was already familiar to Leonhard Euler more
than 200 years ago.
Consider the 4 x 4 Latin square (which corresponds to the order-2
Sudoku). Euler counted them: There are exactly 576 ways of arranging
the numbers 1, 2, 3 and 4 in a square array with no duplications in
any row or column. It follows that 576 is an upper limit on the
number of order-2 Sudoku. (Every Sudoku solution is necessarily a
Latin square, but not every Latin square is a valid Sudoku.) In a
series of postings on the Sudoku Programmers Forum, Frazer Jarvis of
the University of Sheffield showed that exactly half the 4 x 4 Latin
squares are Sudoku solutions; that is, there are 288 valid
arrangements. (The method of counting is summarized in the
illustration on the next page.)
Moving to higher-order Sudoku and larger Latin squares, the counting
gets harder in a hurry. Euler got only as far as the 5 x 5 case, and
the 9 x 9 Latin squares were not enumerated until 1975; the tally is
5,524,751,496,156,892,842,531,225,600, or about 6 x 1027.
The order-3 Sudoku must be a subset of these squares. They were
counted in June 2005 by Bertram Felgenhauer of the Technical
University of Dresden in collaboration with Jarvis. The total they
computed is 6,670,903,752,021,072,936,960, or 7 x 1021.
Thus, among all the 9 x 9 Latin squares, a little more than one in a
million are also Sudoku grids.
It's a matter of definition, however, whether all those patterns are
really different. The Sudoku grid has many symmetries. If
you take any solution and rotate it by a multiple of 90 degrees, you
get another valid grid; in the tabulations above, these variants are
counted as separate entries. Beyond the obvious rotations and
reflections, you can permute the rows within a horizontal band of
blocks or the columns within a vertical stack of blocks, and you can
also freely shuffle the bands and stacks themselves. Furthermore,
the numerals in the cells are arbitrary markers, which can also be
permuted; for example, if you switch all the 5s and 6s in a puzzle,
you get another valid puzzle.
When all these symmetries are taken into account, the number of
essentially different Sudoku patterns is reduced substantially. In
the case of the order-2 Sudoku, it turns out there are actually only
two distinct grids! All the rest of the 288 patterns can all be
generated from these two by applying various symmetry operations. In
the order-3 case, the reduction is also dramatic, although it still
leaves an impressive number of genuinely different solutions:
3,546,146,300,288, or 4 x 1012.
Does the large number of order-3 Sudoku grids tell us anything about
the difficulty of solving the puzzle? Maybe. If we set out to solve
it by some kind of search algorithm, then the number of patterns to
be considered is a relevant factor. But any strategy that involves
generating all 6,670,903,752,021,072,936,960 grids is probably not
the best way to go about solving the puzzle.
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New Zealand IndyCar frontrunner Scott Dixon hopes to put his run of bad luck at the Long Beach circuit in California behind him this weekend.
Dixon has raced there for 10 years and has yet to stand in the top spot on the podium at a track he likes.
At 32, Dixon is regarded as a veteran of the sport because he's been racing the category since the merger with CART in 2003.
He recently extended his contract again with Target Chip Ganassi and is in no hurry to either leave the team or the series.
Yet again, he has started the year strongly and after two rounds is second on the points table behind Helio Castroneves.
He said the last round, at the Barber Motorsport Park in Birmingham, Alabama, was "a crazy race".
"If we hadn't messed up the first pit stop it would have changed a lot of things.
"We got some good points, but it was a bummer to finish second there for the fourth time in a row."
Long Beach hasn't been the kindest of places for Dixon since he started racing there.
But he did win in 2000 in the Indy Lights series, which is the feeder category to the main game.
"We've had some crap luck there to be honest," he said. "Last year we were running third when a bolt fell out of the turbo, took out the crank sensor and cut the engine out.
"I've been running in the top two or three in past years but have been taken out by other drivers, mechanical problems and things.
"Hopefully this weekend we can turn it around."
He says the Long Beach circuit has a great history.
"It's one of those places like Sonoma and Indy where a lot of people want to come and win on it.
"It's a fun track and I like it. It's good for racing with long straights with passing opportunities at the end and it's quite technical."
IndyCar is unlike the other premier motorsport category in the United States, Nascar, as it makes its drivers race on numerous different types of tracks.
The teams have to set cars up for purpose-built race tracks, street courses, short ovals, long ovals (super speedways) and the Indianapolis 500.
Unlike Nascar, in which all but a couple of the 36 races are on high banked ovals, IndyCar enables drivers to specialise in different courses, which makes it difficult to pick an overall winner or get a handle on what the opposition is going to do.
"It's still too early in the season to be able to pick any trend yet and we'll have to see what happens when we've raced a few ovals," said Dixon. "Teams with a bit of depth have an advantage in turning things around after a bad day. It's going to be an interesting season that's for sure."
Before the season started, Dixon was a little concerned Honda hadn't done enough work on the engine to keep pace with the Chevrolet-powered cars. Things appear to be looking up but Dixon still feels Honda could be doing a bit more.
It's hard not to notice that in the championship only two Hondas are in the top 12.
"Honda think the engine's got a bit more power, which is kind of frustrating," he said. "Barber suited us, as it's not really a horsepower track.
"There's only one corner you need to be able to power out of and the rest of the place is pretty much flat out.
"I guess we'll just have to see how it goes at Long Beach as it's a different situation for us. We've definitely got a bit of work to do."
IndyCar points
After two rounds
Helio Castroneves 79
Scott Dixon 70
Ryan Hunter-Reay 66
Marco Andretti 61
James Hinchcliffe 56
Charlie Kimble 51
Tony Kannan 49
Will Power 47


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|GTA V Latest News | #GTAV | #GTAOnline
2007 New Online Previews
Grand Theft Auto IV - General News | @ 11:07 AM MDT | By Slim Trashman
New previews have been released on big gaming web sites today, feeding our anxiety with new screenshots, artwork, and information on the to be game of the year.
Computer And Video Games Preview | 1Up Preview | GamePro Preview | Team Xbox Preview | Total Video Games Preview | Yahoo! Games Preview | SPOnG Preview
All of the summarized information, quotes, and other details comes from the Kikizo Preview. We appreciate their hard work at bringing us the most in depth of previews, so you should really read the full preview to do it justice.
• Like the previous preview (circulated on May 25th), this one was also based on Xbox 360 version of the game.
• Though this demo was 5 weeks old from today's date, there was significant improvement in frame rate.
• Two missions were demonstrated in the preview. A corrupt cop named Frank McReary was the provider of these missions, which involved pulling off hits on two different targets - Goldberg, a Lawyer and an un-named Blackmailer.
• Three different Radio commercials were heard throughout the demonstration. Scroll below for the Radio Commercial scripts.
• The demo was initialized as (quoted from the reporters) "We start with Niko at Star Junction, GTA IV's version of Times Square at 5AM early in the October morning, and it's still dark, yet full of all the real character of dazzling neon Times Square."
• There's a theater show on called T.S. Pirate at the Thespian Theater, as well as a camera store called Liberty Cameras.
• Pedestrians seem more alive than ever before (smoking, reading, eating, dialing phones, etc).
• You can whistle for a cab to get to places quicker and may either enjoy the ride to your destination or perform a trip skip with the push of a button.
• Niko is short for "Nikolai".
• Goldberg's first name is Tom.
• Each street has it's own name and the name is popped at bottom-right as it is entered.
• Little Jacob - a Jamaican gun dealer from Dukes, Liberty City's interpretation of Queens. He is in the neighborhood of Rotterdam.
• Later in the demo, Niko sets off for Rotterdam on a breezy motorbike ride, and stopped next to a pizza store that sells pizzas at the very reasonable price of 99�, and a large cocktail bar lit up in fluorescent pink called Bahama Mamas.
• Unable to simply just walk into Ammunation and buy a weapon, Niko has to search around in alleyways, backstreets, basements, etc to obtain them.
• Weapons are not as easy to acquire.
• Little Jacob sells the arms (9MM, SMG, Micro SMG) out of the trunk of his car for $100 a piece.
• You can also buy ammunition seperately.
• The cinematic camera mode is still in, along with multiple others; the default is placed slightly to the left of the driver side.
• The TW@ Caf� is located in Algonquin, north of Middle Park (Central Park)
• It costs $1.00 to get online at the cafe and is "Totally Wireless".
• The game has its "own" internet which is to have lots of fun things to do and explore on it.
• Niko has his own account that is accessible from any computer in the city.
• Inside the cafe, all terminals are neatly laid out and it is basically the same as a standard looking Cyber cafe.
• Pressing LB will make Niko sit down on the terminal, once sat at the terminal, the screen is displayed, as you would see it on your monitor.
• You can control the (mouser) pointer with the analogue stick of the Xbox 360 controller.
• R* asked the reporters not to write about some of the web addresses that appeared while browsing GTA's quirky version of the web, "because it's still stuff that's being worked on at the moment"; interestingly they checked out some of the domain names they noted down on WHOIS and none are registered by Take 2 yet. [Hint]
• You may be able to use credit cards as payment option in the game.
• Niko submitted a fake CV to the Goldberg Ligner & Shyster website, where he claims, i) his objective is to (quoted) "rise to the top of my profession in Liberty City", ii) experienced in criminal law with cases such as manslaughter under his belt, iii) deals with emerging markets in the West Indies, iv) has been associate attorney at Mediterranean Shipping Enterprise, v) has been an intern at a police force, vi) Got an MA in International Relations at 'Walford University', UK and a first class degree to boot. vii) skilled in people management, coping with cultural differences, athletic ability, shooting, boxing, running, and swimming "to a professional level", viii) interested in world affairs, importing and exporting goods, and free market competition.
• There's perhaps more truth to some of these claims that others, as we're sure to find out during the full game.
• The address of Goldberg, Ligner & Shyster Lawyer firm is 44 Emerty Street, The Exchange, Algonquin, according to their website. They also had a phone number listed (area code 669).
• Once the appointment is set (after you get the call from Karen, Private secretary of Goldberg), it is automatically dropped into the organizer of Niko's phone.
• Niko doesn't have to accept phone calls if he doesn't want to, but if someone is intent on reaching him, they'll become increasingly annoyed. By the way, the name of the cell network is Whiz.
• Niko meets McReary at Castle Gardens, GTA IV's version of the South Street Seaport.
• Reporters saw McReary as wearing a black suit and tie, and sports a moustache and strong side parting in his slicked blonde hair.
• After the meeting with McReary, Niko jacked into an unlocked Black Comet.
• The engine sound was as impressive as we hear in Forza or PGR.
• The default camera angle is at the more central position leaning towards the drivers' side. When driving, the field of view and sense of direction the reporters experienced was superior to previous GTAs.
• Holding down A (X on PlayStation) allows Niko to run faster, though the control schemes are yet to be finalized.
• Every car is integrated with GPS system and the recommended route shows up in yellow on the radar at the bottom left.
• On the way to meet the blackmailer, the reporters saw trashcans with individually modelled items of different trash in them, newspaper dispensers, American flags hanging from many buildings, a Cola van with the slogan 'Deliciously Infectious', a hot dog stand, Burger Shot, a Chemist and a 'Vinewood' branded video hire store.
• As said earlier, each street has its own name and so far, reported street names are, Chinatown, Presidents City, Lancet, Hatton Gardens, Middle Park East and Ruby Street.
• As soon Niko meets the blackmailer, he pulls out his gun, triggering an over the shoulder aiming view, and caps him nine times to make sure he's dead. Then, Niko collects back the memory stick.
• As soon all the actions take place, police sirens were heard, and Niko's wanted level immediately got on two-star. Pedestrians start running all over the place in panic, and they're all running in different ways and directions.
• Earned wanted level triggers as a blue and red search radius, appeared on the radar at the bottom left of the HUD. Police dispatch will notify officers in their area of the details - who they're looking for, description, last known location, and direction they're heading.
• Escaping the radius will lose the wanted stars.
• The Wanted Level system is realistically based on the line of sight, as well. If an officer sees you changing cars or spots on the road after your description has been given out, then the search radius is refocused to your last known location.
• The more wanted stars are earned, the more expansion happens with the search radius.
• Cops' positions can be seen on the radar, but new ones can appear as their backup comes to help out.
• As the Niko exits the search radius, the stars will keep flashing so he has to be careful until the stars are gone.
• Once the stars disappear, Niko heads to Cod Row, Denver Avenue, Exeter Avenue and stops at Northwood / East Holland, then hands over the memory stick to McReary.
• Before heading for the interview, organized earlier in the day, with Goldberg, a T-shirt icon appears on the radar to mark Niko's first destination and Niko heads towards Silicon Street, through Quartz Street, and Middle Park East. Now, Niko reaches at Perseus - a quality menswear shop with prices to match its flashy d�cor.
• At the Perseus store, Niko picks up a Chocolate suit for $1000 and some nice shoes for $200.
• Inside the lawyer firm, while Niko walks with Karen towards meeting room, Karen advises him about Goldberg, "He's just in here. Don't be nervous, he doesn't bite".
• As soon Niko pulls out the gun, Goldberg reacts, "Woah, woah, hold on second there friend! We're lawyers, we don't need guns! Strong move though, I gotta say, I like that style... I'm all about the Second Amendment... guns don't kill people, videogames do!"
• Then, Niko demands to know where the McReary files are, then puts a bullet in Goldberg before he smashes and falls through the window of his office down to the street below - that's him taken care of.
• 10 seconds later, the wanted level reaches upto 3 Stars (out of Maximum of 6 Wanted Stars) and police sirens are heard. Now, Niko is bound to make the escape from the building.
• Niko can basically take cover behind anything (in this office environment, a cleaner's maintenance trolley does the job), and Cops are seen to take cover, as well.
• In addition to the involving cover system, there's also the ability for Niko to blind fire.
• The gunfight and chaotic rhythm of hiding, taking cover, shooting and reloading is classic gameplay that is great fun to see action, particularly with the ragdoll deaths of everybody in sight - against walls, down stairwells.
• The cops keep coming into the building to try and bust Niko. Niko makes an exit using various emergency stairs.
• The demo was played twice. On the second play, after Niko takes out Goldberg, instead of pursuing the missions from the first play, Niko instead opts to get his hands dirty in a massive outside shootout, in an area full of opportunities for cover. Cops, pedestrians, traffic and choppers all get in on the action, and Niko even blows up a gas station for the hell of it with some carefully aimed shots at the refill terminal when he switches the weapon to the Micro SMG. Awesome, as it explodes out in different directions out of the pump and the screen shakes with a bassy boom. Eventually, Niko dies in the action, after a while.
• As soon he dies, he falls to the ground and the camera pans high looking downwards to show that you've botched the job up.
• R* confirmed that the whole demo only showed off one third of Algonquin. It's about 1/16 of the full game map.
• The next preview will include PS3 impressions, online features and multiplayer modes.
Caller: "This is Karen from Goldberg, we'd like to arrange an interview at your earliest convenience. Come into our offices at noon tomorrow, is that alright?"
Niko: "I can free that period up in my schedule."
Karen: "Super, your interview will be with Mr Goldberg. Identify yourself to security and they will show you up. Have a nice day."
McReary: "Were you followed?"
Niko: "Hey, strange seeing you here, Officer McReary."
McReary: "I told you to come here, you fucking maggot!"
Niko: "You did? Why?"
McReary: "I know about you."
Niko: "Know what?"
McReary: "I know enough, boy."
Niko: "Oh, what do you know, boy?"
[Rockstar mutes the TV because of a plot spoiler in the dialogue]
Niko: "I don't know what you're talking about, chief."
McReary: "Do you think this is a town that can keep a secret?"
Niko: "I really don't know what you're talking about."
McReary: "Yeah you do. You know that a man's gotta do what a man's gotta do. The people ain't perfect, their life is a mess..."
Niko: "Sure, everybody knows that."
McReary: "So. You look out for me, and I don't look out for you. Know what I mean?"
Niko: "I think so."
McReary: "So, there's a guy trying to blackmail me."
Niko: "Who?"
McReary: "I don't know. Thinks he's getting paid though. The guy's smart. He arranged to do the exchange by the Humboldt River off Silicon Street, said to call him from the viewpoint there."
Niko: "OK..."
McReary: "Listen, I did what I did. I made a mistake. That don't make me the devil. Now obviously I can't go, because then he gets a picture of me giving him money and then I'm admitting guilt. I ain't guilty of nothing, other than being a man."
Niko: "To be honest... I don't really care one way or another..."
McReary: "Call me when you get to the spot."
Blackmailer: "Hello? Who is this?"
Niko: "A friend. I am calling about your exchange with McReary."
Blackmailer: "Yeah. He better have my paper. I ain't fucking around."
Niko: "I'm sure he's got your money. Have you got the stuff that he wants?"
Blackmailer: "Yeah I got it. We going to make this shit happen? I don't mess about you know. Push me and this shit is all over Weasel News. I got them on speed dial."
Niko: "Really..."
Blackmailer: "Yeah. And there's a lawyer called Tom Goldberg who's real interested. He's hungry for McReary's blood and shit. Yeah."
Niko: "Good thing Francis is paying them."
Blackmailer: "Call me when this exchange is going down. I don't like all the talking, yeah?"
Niko: "Yeah, he's dead."
McReary: "Great, I can get rid of these now. I feel like a new man. Not many people get a second chance like this. Thank you."
Niko: "Your sins are absolved, I guess."
Karen: "Mr Bellic, welcome. I will just see if Mr Goldberg is available... Mr Goldberg, Mr Bellic has arrived for his interview."
Goldberg: "Alright great, tell him to come to my office."
Karen: "Uh-huh, I'll bring him through. Would you please follow me, Mr Bellic."
"From the people who brought you the Domestobot, we proudly present El Comercio Roboto! It's the robotic future... from south of the border! 'Politicians may demand illegal aliens leave the country, but I want a Mexican gardener I can ogle!' El Comercio Roboto! You little devil. He can mow the lawn, if you know what I mean! Comes with six different attachments!"
"Are you ready to live the real estate dream? Whether you're new on the market or an old hack, we'll take your dream to the limits of prestige, in a spacious loft or an outstanding penthouse! It's a 500-square ft glass coated box in the sky, with windows that won't open and a doorman that masturbates in your bed while you're at work! Only three million dollars, only three blocks from the ghetto!"
"You can begin living a life of luxury. Why worry about health, your weight, or what people think of you? Now, you're faster! Motorized scooters are the future of the American lifestyle - carefree! Take the wait off!"
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Enjoy the Highest Standards of Quality
When your mission is to build the best coaches in the industry, you need the industry's best people.
High-quality Amish craftsmanship is the hallmark of our construction process. Our dealer-quality inspection team painstakingly reviews every motorhome we manufacture to ensure that each detail is correct. Before we ship a coach, it has been checked and re-checked for real-world performance.


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35 years & counting
Bill and Nancy Stemper will mark their 35th wedding anniversary on Aug. 11. The immediate family that can trace early roots to Orientation, when Nancy, Sp '78, Grad '79, and Bill, Eng '77, met on Central Mall, is now officially, fully Marquette with youngest son Danny due on campus this fall as an engineering freshman. From left to right: Bobby, Bus Ad '06, with daughter Cecilia; daughter-in-law Alicia, Comm '06; Nancy; Bill; Kristina, a senior in the College of Business Administration; Lauren, H Sci '11; and Danny. The extended family reaches back to the early 1900s and includes four generations of Marquetters.
Are you celebrating a milestone event? Tell us. Send a picture to marquette.edu/classnotes.


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Holiday Wine & Cheese Festivals
Tour the picturesque Chautauqua Lake Erie wine trail and receive a souvenir glass and recipe packet. Each vineyard will be preparing a specialty cheese dish to sample. Spend the evening in one of our literary king/twin size fantasy bedrooms and awaken to a cheese inspired delightful breakfast! (a specialty cheese fondue is rumored to be on the menu...Shhh! It's a surprise!)
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Pretty interesting paper on how mites vector DWV and collapse colonies. A little technical but the takeaway is that you need to control varroa.
Through an integrated analysis of the population and molecular changes associated with the collapse of honeybee colonies infested by the parasitic mite Varroa destructor, we show that this parasite can de-stabilise the within-host dynamics of Deformed wing virus (DWV), transforming a cryptic and vertically transmitted virus into a rapidly replicating killer, which attains lethal levels late in the season. The de-stabilisation of DWV infection is associated with an immunosuppression syndrome


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forum: Food & Drink
Pages: 1 | Home » Food & Drink » Venison haunch
#1 Mon 29 Oct 12 5:46pm
- Member
- Member since Sun 28 Oct 12
Venison haunch
Hi all,
I have a 2.4kg Haunch of venison currently topped with a nice piece of pork belly fat (with some meat) bringing the whole thing to well over 3kg.
At first I intended to quickly roast it, leaving it at most medium rare however now I'm thinking that this won't do the belly pork any favours and I also notice some fierce debate on the matter of haunch with many people saying that it should be slow cooked...
I have had a smaller haunch before that I quickly roast and it was lovely, tender and moist but I am a little daunted by the bigger joint especially with the belly atop.
So, what do you all think the best way to do it would be?
#2 Mon 29 Oct 12 7:04pm
- Forum champ Occupation Opiskelija
- From Finland
- Member since Thu 26 Aug 10
Re: Venison haunch
Personally, I like to cook a haunch of venison slowly. I tend to start it off early then put it in the bake oven of my fireplace at about 80C for the best part of 5 or 6 hours. One of the nicest ways I've done is actually a Jamie recipe I did a couple of years ago, here is a link
http://www.dailymail.co.uk/femail/artic … routs.html
It was so delicious with the cherries, which unfortunately are a bit hard to get here. I've never topped it with pork belly, but I guess you're doing that to add some moisture. As I've found that slow cooking larger pieces of lean game tends to be the best way to ensure they stay moist, without introducing fat.
Good luck and welcome to the forums
#3 Thu 01 Nov 12 10:26pm
- Member
- Member since Sun 28 Oct 12
Re: Venison haunch
Hi BritFinn,
Thanks for the link, that sounds great and it's going in my recipe book for future!
#4 Mon 12 Nov 12 5:16pm
- Member
- Member since Mon 12 Nov 12
Re: Venison haunch
Hi Thryth!
Great question on the haunch of venison! I am currently working on Jamie's brand new YouTube Channel which is launching in January 2013. Could you send me a email via this forum so I can get in touch with you directly regarding how we might be able to use some of your great questions on the channel?
Pages: 1 | Home » Food & Drink » Venison haunch


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Last week I finished medicating (apistan, terramycin, etc) and wrapping up (1 layer tar paper) my three hives.
After being away from the house since then, I left for work this morning at 7am to find that the strongest hive, and only the strongest one, had a huge number of bees clustered on the front of the hive, above the entrance reducer.
Any ideas why on earth they would do this?
Other items to note about this hive.
1) This hive still has some brood developing in it.
2) This hive was SO full of bees and honey that I left it stacked three deeps high.
3) As with the above items, when I finished medicating all the hives, I found this hive had a very large number of drones in the colony.
Any thoughts on this? anything else I should look for or do? :?:


text:
Airfoil Lifting Force Misconception
William Beaty 1996
º Articles Here
º GIF Diagrams
º Links
º Misconceptions
º Refs
New: common lift
miscons, Cambridge U.,
also Yale,
Vtsium and
XKCD comic
Beat around in the underbrush of aerodynamics and you'll encounter an
interesting question:
Amazingly enough, this question is still argued in many places, from K-6 grade classrooms all the way up to major pilot schools, and even in the engineering departments of major aircraft companies. This is unexpected, since we would assume that aircraft physics was completely explored early this century. Obviously the answers must be spelled out in detail in numerous old dusty aerodynamics texts. However, this is not quite the case. Those old texts contain the details of the math, but it's the *interpretation* of the math that causes the controversy. There is an ongoing Religious War over both the way we should understand the functioning of wings, and over the way we should explain them in children's textbooks. It's even erupted into the news, see news links below. The two sides of the controversy are as follows:
Also there are three other explanations of lift: the
circulation-based explanation, the flow-turning or streamline-curvature
explanation, and the 3D vortex-shedding explanation. These three appear in
advanced textbooks, where they form the basis of the mathematics used by
aircraft designers. They rely on Bernoulli's equation. The misleading
"popular" or "airfoil-shape" explanation commonly appears in children's
science books, magazine articles, and in pilot's textbooks. On the other
hand, the public rarely if ever encounters explanations based upon
circulation, upon vortex shedding, or upon Newton's Laws.
A possible solution to the controversy:
Billb's balloon analogy to aircraft: vortex sheddingNote well: Newton and Bernoulli do not contradict each other. Explanations which are based on Newton's and on Bernoulli's principles are completely compatible. Air-deflection and Newton's Laws explain 100% of the lifting force. Air velocity and Bernoulli's equation also explains 100% of the lift. There is no 60% of one and 40% of the other. One of them looks at pressure forces, the other looks at F=mA accelerated mass. For the most part they're just two different ways of simplifying a single complicated subject. Much of the controversy arises because one side or the other insists that only *their* view is correct. They insist that only a *single* explanation is possible, and the opposing view is therefore wrong. In other words... which is the One True Way to crack an egg? This is a war between the Big-endians and Little-endians from "Gulliver's Travels." They simply refuse to acknowledge that there are several valid yet independent approaches to solving the problem. They insist that their version must be the Single Right Answer, the "One True Path," and anyone who disagrees is a dangerous heretic infidel who must be attacked and silenced.
Also, those who firmly adhere to the popular explanation have been
successful in convincing many
authors that there can only be a single best method for explaining
aerodynamic lift, and that the "Airfoil-shape" method is far better
than the "Attack-angle" method. I strongly disagree with this, and
believe that the correct versions of both explanations should be in
constant use. Since the Newton method gives a better intuitive grasp of
the issues, that method is more appropriate for elementary explanations
aimed at the public and for introductory material for science students and
pilots. On the other hand, the "Airfoil Shape" or circulation-based
explanation is less
yet it dovetails very well with lifting force calculations, so it is very
useful in mathematical modeling, for physics students, for aircraft
design, fluid flow simulation software, etc.
Answer: Ha, if it was just me saying it, you'd be wise to be suspicious. On the other hand, Science is based on the questioning of authority. Sometimes the combined voices of famous and important unquestionable authorities are nothing when compared to a single quiet voice who says "and yet it moves." But fortunately where airfoils are concerned, we're way past that part. I'm no Galileo, and it's not just me saying all this stuff.
The latest version of this controversy was started in 1990 by the aerodynamicist Dr. Klaus Weltner with his paper in American Journal of Physics which calls airfoil explanations into question. There were earlier incidents, such as the popular pilot's training book "Stick and Rudder." I first posted my own amateur articles here in 1995 when the web became available. Since then Gale Craig published How Airplanes Really Fly , Jan-Olov Newborg started a campaign to correct many sources, the late Jef Raskin published his article in Quantum, Dr. John Denker of Bell Labs put it in his online pilot's textbook, the NASA Glenn Research Center included the controversy in their public education program, and aerodynamicists Anderson and Eberhardt published a textbook based on those ideas: Understanding Flight. The controversy recently made it into the New York Times as well as several magazines and aerodynamics websites (see links below.) So... if you want to be suspicious, be suspicious of anyone who tries to pretend that no problems exists, or that this controversy is really just some individual's little pet theory.
2. How could so many scientists, engineers, and authors be so wrong?
3. Why are you prejudiced against the Bernoulli-based theory? Bernoulli's equation is perfectly correct.
- First and foremost, the airfoil lifting-force is an example of propulsion, where the airfoil injects energy and momentum into the air. This is forbidden in the Bernoulli world, so Bernoulli's equations cannot explain propellers, jet engines, helicopters, sails, or airplane wings. Bernoulli only works if we transform the airplane into a venturi by making the wingspan infinitely wide. (Imagine an infinitely-wide helicopter prop, or bird wing!) An infinite wing injects zero energy and momentum into the air, instead it's an example of ground-effect flight. It only produces forces between two surfaces.
- Second, the airfoil math is correct, so wing-designs work regardless of the designers' belief system. Airfoils work fine for ground-effect WIG craft or for normal wings. Incorrect beliefs about wing-functions have little impact, as long as engineers don't use the beliefs to alter the fluid simulations.
- Errors can infect grade-school textbooks and spread widely to many books. All aerodynamics people once were kids, so they can pick up a misconception which they never question, and which persists into their adult careers as aircraft experts. Even more advanced textbooks can give explanations which contain errors at much higher level, e.g. the 2D-centric explanations which imply that infinite wings are normal and acceptable, while finite 3D wings are a bizarre special case. That's backwards. It's the 3D wing which is actually real, while the infinitely-wide wings of the 2D world are the unphysical odditiy, and an example of ground-effect flight.
- Henri Coanda's old experimental work on boundary-layer attachment was marginalized, even ridiculed, rather than merged with the rest of aerodynamics or included in college textbooks. Air is nonlinear, with no simple math solutions which simply explain either flow-attachment or turbulence. As a result, a big piece of aerodynamics concepts is missing. After he dies, Nobelist W. Lamb supposedly was hoping to "ask God" how turbulence works. He could have instead asked God an equivalent unsolved question: how do wings really work? Wings work by creating vorticity from nothing, which is also the signature of turbulence. The lifting force is inescapably a product of turbulence, of nonlinear vortex-shedding, so many experts turn away.
- Cambered wings at high Reynolds number have a positive effective attack angle even when the geometrical attack angle is zero. This confuses everyone, even some experts. They see only the zero geometrical angle and believe that the cambered wing cannot deflect air. They don't realize that the down-tilted trailing edge of a cambered wing has far more effect upon an air parcel than does the rest of the entire un-tilted wing. In other words, the sloping rear half of an un-tilted cambered wing is strongly interacting with air because of air's inertia. A cambered wing flings air downwards as if the wing were tilted. A cambered wing can have a large AOA and a zero AOA ...both at the same time. Very confusing to the uninitiated.
- A two-dimensional diagram (also called the 'infinite wing diagram,') is misleading. It depicts ground-effect flight where altitude above a surface is always much less than one wingspan. Any explanation based on this type of diagram does not apply to the vortex-shedding flight of 3-dimensional aircraft when they're far above the ground. These Two-dimensional diagrams are not just simplified, they're genuinely wrong, since typically they neglect to show the floor and ceiling of the 2D wind tunnel which receives the weight of the wing as an instantaneous contact-force. In 2D diagrams the floor and ceiling are an essential part of the system, and their effects do not diminish as they are removed to infinite distance. In other words, two-dimensional airfoil diagrams depict an odd type of "venturi flight" situation, where the wing is trapped in "ground-effect mode," while genuine aircraft fly far from the ground and have no instantaneous weight applied to the Earth's surface. (Then, the ground is illegally erased from the 2D diagram!) To explain lift in high-flying aircraft, we absolutely require a 3D diagram with its vortex downwash wake. Real wings fly because of vortex-shedding, and they're lifted upwards as they fling a mass-bearing vortex-pair downwards. Yet introductory textbooks always use the misleading two-dimensional diagrams which depict only the regime of ground-effect flight: "venturi-flight" of infinitely-wide wings.
- The presence of multiple possible explanations can trigger religious wars, "Swiftian Battles" between adherents to one side and the other. Sometimes one side wins; swaying the audience and stomping out the other explanation... even though parts of both explanations are valid, and even though both explanations are required for complete understanding. We cannot really grasp wing operation unless we know several different ways to explain them. In the same way, toolkits need both hammers AND screwdrivers... and anyone who searches for a "One True Tool," while angrily emptying out the rest of their toolbox, is severely limiting their own expertise.
"I am an old man now, and when I die and go to heaven there are two matters on which I hope for enlightenment. One is quantum electrodynamics, and the other is the turbulent motion of fluids. And about the former I am rather optimistic."
- physicist H. Lamb, 1932 address to the British AAS
Huh? Read my stuff again. Please tell me where I attack Bernoulli. Instead I only attack the "popular theory," also called the Equal Transit-Time explanation. By the way, the correct version of the Bernoulli explanation is called Circulation Theory. Another version is called Flow-turning Theory. Anyone who claims to support the Bernoulli side of the controversy, yet isn't familiar with Circulation as explained in intro texts, is laboring in ignorance. Go see John Denker's page for plenty of info and illustrations about circulation-based explanation. On the other hand, yes, Bernoulli can't be used, since real wings function by injecting energy and momentum into the air. Bernoulli doesn't cover that. Instead we need Euler's equations, of which Bernoulli is a subset. We also need fluid simulation, since most instances of Euler (e.g. vortex-shedding) will have only numeric (computer) solutions.
Bill B.'s "Newtonian" Articles & Misc.Controversy
The "Airfoil Mistake" in the news
Discussions, message threads
Relevant forums
Gale Craig, NEWTONIAN AERODYNAMICS FUNDAMENTALS, 1995, Regenerative Press,
Anderson Indiana 46011, ISBN: 0964680602
Prof. Klaus Weltner, AERODYNAMIC LIFTING FORCE, The Physics Teacher (magazine), Feb 1990, pp78-82
K. Weltner, BERNOULLI'S LAW AND AERODYNAMIC LIFTING FORCE, The Physics Teacher, Feb 1990, pp84-86
K. Weltner, A COMPARISON OF EXPLANATIONS OF THE AERODYNAMIC LIFTING FORCE, Am. J. of Physics, 55 (1) Jan. 1987 pp50-54
Langewiesche, Wolfgang, STICK AND RUDDER, 1975 Tab Books, ISBN: 0070362408
N.H. Fletcher, MECHANICS OF FLIGHT, Physics Education, Wiley, NY 11975, pp385-389
THE TWO COMPETING EXPLANATIONS FOUND IN K-6 BOOKS:Here is the typical "Airfoil shape" or "Popular" explanation of airfoil lift which commonly appears in childrens' science books:
As air approaches a wing, it is divided into two parts, the part which flows above the wing, and the part which flows below. In order to create a lifting force, the upper surface of the wing must be longer and more curved than the lower surface. Because the air flowing above and below the wing must recombine at the trailing edge of the wing, and because the path along the upper surface is longer, the air on the upper surface must flow faster than the air below if both parts are to reach the trailing edge at the same time. The "Bernoulli Principle" says that the total energy contained in each part of the air is constant, and when air gains kinetic energy (speed) it must lose potential energy (pressure,) and so high-speed air has a lower pressure than low-speed air. Therefore, because the air flows faster on the top of the wing than below, the pressure above is lower than the pressure below the wing, and the wing driven upwards by the higher pressure below. In modern wings the low pressure above the wing creates most of the lifting force, so it isn't far from wrong to say that the wing is essentially 'sucked' upwards. (Note however that "suction" doesn't exist, because air molecules can only push upon a surface, and they never can pull.)
Uh oh, wind tunnel photographs of lift-generating wings reveal a serious problem with the above description! They show that the divided parcels do not recombine at the trailing edge. Whenever an airfoil is adjusted to give lift, then the parcels of air above the wing move far faster than those below, and the lower parcels lag far behind. After the wing has passed by, the parcels remain forever divided. This has nothing to do with the wing's path lengths. This even applies to thin flat wings such as a "flying barn door." The wind tunnel experiments show that the "wing-shape" argument regarding difference in path-length is simply wrong.
An alternate explanation of lift: "ATTACK ANGLE" As air flows over a wing, the flow adheres to the surfaces of the wing. This is called flow-attachment, also the "Coanda effect." Because the wing is tilted, the air is deflected downwards as it moves over the wing's surfaces. Air which flows below the wing is pushed downwards by the wing surface, and because the wing pushes down on the air, the air must push upwards on the wing, creating a lifting force. Air which flows over the upper surface of the wing is adhering to the surface also. The wing "pulls downwards" on the air as it flows over the tilted wing and off the trailing edge, and so the air pulls upwards on the wing, creating more lifting force. (Actually the air follows the wing because of reduced pressure, the "pull" is not really an attraction.) The lifting force is created by Newton's Third Law and by conservation of momentum, as the flowing air which has mass is deflected downward as the wing moves forward. Because of Coanda Effect, the upper surface of the wing actually deflects more air than does the lower surface. My notes on "attack angle": If you understand the "attack angle" explanation, then the causes of other aircraft phenomena such as wingtip vortex will suddenly become clear. The air at the trailing edge of the wing is streaming downwards into the surrounding still air. The edge of this mass of air curls up as the air moves downwards, creating the "wingtip vortex." A similar effect can be seen when a drop of dye falls into clear water: the edge of the mass of dye curls up as the dye forces itself downwards into the water, resulting in a ring vortex which moves downwards. There is one major error associated with the "attack angle" explanation. This is the idea that only the LOWER surface of the wing can generate a lifting force. Some people imagine that air bounces off the bottom of the tilted wing, and they come to the mistaken belief that this is the main source of the lifting force. Even Newton himself apparantly made this mistake, and so overestimated the necessary size of man-lifting craft. In reality, air is deflected by both the upper and the lower surfaces of the wing, with the major part being deflected by the upper surface. Because a large, heavy aircraft must deflect an enormous amount of air downwards, people standing under a low-flying aircraft are, after a short delay, subjected to a huge downblast of air. They are essentially feeling a portion of the pressure which supports the plane. Imagine standing below a helicopter that hovers a few tens of yards above the ground. Enormous downwash? Now imagine that helicopter flying along at 150mph, or imagine the blades detaching and flying away perpendicular to travel, like wings, and you end up with the usual physics of fixed-wing aircraft. All aircraft wings are essentially sucking in air from all directions and flinging it downwards. This fact gets lost when the aircraft moves horizontally much faster than its downwash moves vertically. Some people even come to believe that wings don't deflect air at all, or leave air moving downwards after the aircraft has passed by. The downwash can be useful: when a cropduster flies low over a field, the spray is injected into the airflow coming from the wings. Rather than trailing straight back behind the craft, the spray is sent downwards by the downwash from the wings. Also, during takeoff the downwash interacts with the ground and causes lift to greatly increase. Pilots often use this effect to gain a large airspeed just after takeoff. Because of downwash "ground effect," their engine needs to do much less work in keeping their aircraft aloft, therefore the extra power available can be used to speed up the plane. To create adequate lift at extremely low speeds, an airfoil must be operated at a large angle of attack, and this leads to airflow detachment from wing's the upper surface (stall.) To prevent this, the airfoil must be carefully shaped. A good low- speed airfoil is much more curved on the top, since lift can be created only if the wing surface carefully deflects air downwards by adhesion. Thus one origin of the misconception involving "more curved upper surface." The surface must be curved to prevent stall, not to create lift but to avoid losing lift. The situation with the lower surface is different, since the lower surface can deflect the air by collision. Even so, it makes sense to have the lower surface be somewhat concave, so that the air is slowly deflected as it proceeds along, and so the upwards pressure is distributed uniformly over the lower surface. Why does flowing air adhere to the upper surface of the wing? This is called flow-attachment, also "the Coanda effect." Apparently Dr. Bernoulli has a better PR department than Dr. Coanda, (grin!), since everyone has heard of Bernoulli, while Coanda is rarely mentioned in textbooks. The only correct part of the "wingshape/pathlength" explanation of lift is the description of the Bernoulli effect itself. But the "Bernoulli Effect" can also be interpreted thus: because the wing is tilted, it creates a pocket of reduced pressure behind its upper surface. Air must rush into this pocket. And at the tilted lower surface, air collides with the surface and creates a region of increased pressure. Any air which approaches the high pressure region is slowed down. Therefore, the pressure is the cause of the air velocity, not vice-versa as in the "airfoil-shape" explanation above. Also, it is wrong to imagine that the low pressure above the wing is caused by the "Bernoulli effect" while the high pressure below the wings is not. Both pressure variations have similar origin, but opposite values. The "airfoil shape" explanation could be very useful in calculating the lifting force of an airfoil. Knowing the fluid velocity at all points on the airfoil surface, the pressure may be calculated via Bernoulli's equation at all points, and if the pressure at each point is vector summed, the total lifting force upon the wing will be obtained. The trick then is knowing how to obtain the fluid velocities. Appeals to differences in pathlength do not work, so other methods (circulation and Kutta condition) must be used.
Parts of the Airfoil Misconception


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Great Location - Charming Double Room Very Luminous (CS - DBRT)
Size12 m²
Floor No.2
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Accommodation summary
Trendy Shoreditch, Brick Lane and Hoxton all in close proximity and bustling Covent Garden, Soho and Westfield Stratford shopping Centre easily accessible.
Bright spacious secure second floor apartment, featuring private bedroom fitted with twin beds - two single beds. The excellent selection of local amenities and transport links make this an ideal choice for those working and living in London or experiencing the city as a tourist. Bills included (Council Tax, Gas, Electricity, Water, Internet – wi-fi). Individual locks on rooms for security and privacy. Fully-furnished, well equipped kitchen featuring fridge / freezer, washing machine, oven-hob, microwave, utensils and crockery. Bedding and linen provided. Cleaner and parking available at additional cost.
Great value and affordable! Prices subject to date and length of stay.
House rules*** Please note strict check-in times. If you want to check-in outside of the stipulated times (16:00 - 20:00) please message first.***
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- No smoking permitted inside the apartment
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- Any damage is chargeable (£40 for lost keys)
- No lift (not suitable for wheelchair users or those with mobility concerns - 25 steps in total)
- Cleaner and Parking (first come first served basis) can be provided at additional cost
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Reviews for this host's other properties
Very good and intensive communication, before, during and after stay, Appartment was very nice and we had a good week in London.
Isha was always in contact and offert all the help we needed.
I would recommend to stay there
Isha was a great host. Communicatoin with her via mail was awesome. Also the apartment was super nice .... enough space for us 5...and there were also some tube maps and tourisic brochures provided - thank you very much for that. We also loved the bed linen - they were very cosy, so we had a good rest every night. The area of the apartment was quite perfect - just a few minutes to the station...so we could be in the city center very quick.
I would definetly recommend Isha and the apartment for stay in London.
Thank you very much Isha, we really enjoyed our stay - all thes best :)
Very nice apartment near the Underground Station and near to the Tower of London. The owner of the apartment is also quiet friendly and helpful. The area around the apartment is a little bit dirty and loud in the night.
Nice apartment with very friendly host!!.
She gave good information and tips for restaurants as well that she brought a coffeemachine!
Close to metro and London central and great multiculti part in London to stay in.
Some more readinglight in bed- and livingroom is recommandable.
The apartment is very well located to public transport and is very well equipped.
There were four there and felt very comfortable.
Die Wohnung liegt sehr gut an öffentlichen Verkehrsmitteln und ist sehr gut ausgestattet.
Wir waren zu viert dort und haben uns sehr wohlgefühlt.
Simple but clean and cozy apartment on two floors, which are connected to a steep staircase. Very good organization of the check in and useful information in advance by e mail. Following public transport excellent because DLR Trains in 2 minutes distance to Bank or Monument fahren.Viele little Pakistani grocery stores in the immediate vicinity as well as a small supermarket and bakery. Drawback is the acoustic sealing of the window fehelnde. The passing in close proximity to trains can be clearly heard, so earplugs are highly recommended! We stayed with our three children a nice holiday week and found the apartment for the price a great deal! Maybe a little more dishes could still be in the future and so purchased, so you do not quite so often must wash .... A big thank you to Isha!
Einfache, aber saubere und gemütliche Wohnung über zwei Stockwerke, die mit einer steilen Treppe verbunden sind. Sehr gute Organisation des Check in und hilfreiche Infos vorab per e mail. Anschluss an öffentlichen Nahverkehr hervorragend, da DLR Trains in 2 Minuten Entfernung bis Bank bzw Monument fahren.Viele kleine pakistanische Lebensmittelgeschäfte in direkter Nähe sowie ein kleiner Supermarkt und Bäcker. Nachteil ist die fehelnde Schalldichtigkeit der Fenster. Die in direkter Nähe vorbeifahrenden Züge sind deutlich zu hören, also sind Ohrstöpsel dringend anzuraten! Wir haben hier mit unseren drei Kindern eine schöne Ferienwoche verbracht und finden die Wohnung für den Preis ein prima Angebot! Vielleicht könnten noch zukünftig etwas mehr Teller usw angeschafft werden, damit man nicht ganz so oft spülen muss.... Ein herzliches Danke an Isha!
We had a great time in this well situated apartment near Shadwell. The apartment had sufficient room for the five of us and had all the facilities we required. The apartment was clean on arrival and bedlinnen was provided as agreed. Except for the shower that could have had a bit more power we really liked the place.
The apartment is very conveniently located, clean and tidy. The three of us have felt very comfortable. Isha has welcomed us warmly and emailed detailed sketches of arrival in advance. So we spent wonderful days in London.
Die Wohnung liegt sehr günstig, ist sauber und ordentlich. Zu dritt haben wir uns sehr wohl gefühlt. Isha hat uns herzlich empfangen und im Vorfeld ausführliche Anreiseskizzen gemailt. So haben wir schöne Tage in London verbracht.
Isha is nice treatment and very attentive, he gave us all facilities during the stay. The property is simple and good value. Excellent wifi connection. The neighborhood is at the beginning of zone 2, it is possible that upon arrival does not give a good impression or appears uncertain, but it is not, it is a quiet, residential neighborhood, with grocery stores in Chapman Street and family-like . The DLR station is nearby and there are often passing trains.
Great host and a pleasant stay in London :)
Isha es de trato muy agradable y muy atenta, nos dio todo tipo de facilidades durante la estancia. La propiedad es sencilla y con buena relación calidad-precio. Conexión wifi excelente. El barrio se encuentra al principio de la zona 2, es posible que al llegar no dé muy buena impresión o que parezca inseguro, pero no es así, es un barrio tranquilo y residencial, con comercios de alimentación en Chapman Street y viviendas de tipo familiar. La estación del DLR se encuentra cerca y hay mucha frecuencia de paso de trenes.
Great host and a pleasant stay in London :)
Adequate and everything needed for a pleasant stay in London apartment. It is not in the center but next to a train station (Shadwell) where you can reach in just 30 minutes.
Isha, was a great hostess, providing us with the check-in and check-out our schedules, and telling us about everything needed for our stay.
Un apartamento adecuado y con todo lo necesario para una estancia agradable en Londres. No está en el mismo centro pero situado al lado de una estación de tren (Shadwell) donde puedes llegar en cuestión de 30 minutos.
Isha, ha sido una gran anfitriona, facilitándonos el check-in y el check-out a nuestros horarios, e informándonos sobre todo lo necesario para nuestra estancia.
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