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Lady Bulldogs Hold Off Tigers
Feb. 7, 2013
ATHENS, Ga. --- No. 9 Georgia used a 61-58 win over Auburn to secure the 28th 20-win season in program history on Thursday night at Stegeman Coliseum.
Jasmine Hassell turned in a double-double of 15 points and 10 rebounds to lead a quartet of double-digit scorers. Shacobia Barbee, Jasmine James and Khaalidah Miller scored 14, 13 and 10 points, respectively. Barbee also notched eight rebounds and James tallied a game-high five steals.
"I thought Auburn showed a lot of resilience tonight," said head coach Andy Landers. "I thought defensively we got after them and created some havoc. I thought they got frustrated, and while they were frustrated, they were turning the ball over and we were scoring the basketball to get a lead. But they stayed the course and stayed with everything. They went about their business of cutting the lead, and then when they got the score close, they became very good in the half court. You have to give them credit for that. But with that said, I don't remember when we've missed more chip shots than tonight."
The Lady Bulldogs (20-3, 8-2 SEC) recorded a season-high free throw percentage of 86.4 percent by shooting 19-of-22 from the charity stripe. Georgia's 19 free throws is also a season high.
The Tigers (13-10, 8-2 SEC) were led by Hasina Muhammad, who scored 20 points and pulled down seven rebounds.
After a slow start by both teams, the Lady Bulldogs found their stride and sailed to a 19-7 lead with just under 13 minutes on the clock. Auburn then executed an 8-2 surge to pull within in six, 21-15.
Georgia refused to allow the Tigers any closer and used a quick 9-0 run to pull ahead 30-15, which was the Lady Bulldogs' largest lead of the game. Auburn scored the next six points, before Georgia closed out the half with four consecutive free throws to bring the score to 34-22.
In the first period, Georgia scored 12 points off of 14 Auburn turnovers, while allowing the Tigers to score just five points off of seven turnovers. The Lady Bulldogs also tallied seven steals compared to Auburn's two.
The Tigers came out strong in the second half, scoring five points in the first minute. Auburn eventually whittled Georgia's lead to 36-31. For the next few minutes, the Tigers matched the Lady Bulldogs basket-for-basket before going on a 6-0 run that brought the score to 42-41.
With 10:30 remaining, Georgia reeled off five unanswered points, stretching its lead to 47-41. Auburn continued to keep it interesting and kept the Lady Bulldogs from taking another decisive advantage.
The Tigers connected on just their third free throw of the night to tie the game at 51-51 with under five minutes left in the game. Auburn tied the score again at 53-53, before Georgia pulled ahead 60-55 with 11 ticks left on the clock. The Tigers hit a long three with four seconds remaining, but then fouled Barbee, who connected on a free throw to bring the score to 61-58 before time ran out on Auburn.
Next up, Georgia travels to Baton Rouge, La., to take on LSU at 1:30 p.m. ET on Sunday. Following an open date next Thursday, the Lady Bulldogs will travel to Gainesville to face Florida on Feb. 17 before returning home to Stegeman Coliseum to host Arkansas on Feb. 21.
Lady Bulldogs In Double Digits
Georgia Head Coach Andy Landers
On the play of Auburn's Blanche Alverson and Hasina Muhammad...
Auburn Coach Terri Williams-Flournoy
The difference between the first half and the second half...
On three close losses to top 15 teams, during Auburn's current seven-game losing streak...
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2GB shines but no afternoon delight for Philip Clark
Page Tools
Radio 2GB's Philip Clark will be under pressure to lift his performance after only attracting 5.8 per cent of the audience, falling to eighth place in the drive slot, even though stablemate Alan Jones delivers 15.6 per cent share of the audience at breakfast.
2GB easily won the Nielsen survey, dominating the breakfast, morning and evening shifts, but its audience shrank markedly in the afternoon.
John Laws's 2UE morning figure rose by 1.2 points to 10.6 per cent but he was absent for most of the surveyrecovering from back surgery.
Nova breakfast team Merrick and Rosso recorded their highest rating ever. Breakfast challengers Kyle Sandilands and Jackie O recovered lost ground, helping to lift 2Day from seventh spot to fifth.
However, sister station Triple M lost 67,000 listeners falling from fourth place to eighth.
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subset: commoncrawl


text:
Used in Counter-Strike map names. If the map name is prefixed with a "de" then you know it is a defusal map (one where terrorists set up a bomb).
by ElephantSandwich August 28, 2004
D.E. is an abbreviation given to an employee who "Does Everything" in a dental office. Usually there are "DA" (dental assistants) and/or receptionists working at a dental office. A DE can do both of their jobs and can do it better than any one.
by denture maker September 24, 2010
Something of interest only to effeminate males or 'New Age guys' (i.e., a male who is overly sensitive or a man who has unbecoming delicacy or overrefinement). This is a word only in a very limited geographical area (Western Massachusetts). This word grew out of the sarcastic usage of "decent"
by Peter T. July 18, 2006
Toplevel-domain for german websites.
by z0iD April 13, 2006
DELAWARE, the greatest small wonder on earth.....rrright. Here's Delaware in a nutshell for yah; three counties: New Castle, Kent, Sussex. If you don't live in New Castle county, your most likely white trash who spends your days fucking chickens or your sister(yes, there's more chickens in the state of DE than there are people). New Castle is the only respectable county in DE with the only respectable towns and cities. Kent and Sussex counties would make my dog vomit in disgust.
....pretty much the only acceptable city in DE is Wilmington, and if you disagree i dont care cause your a chicken fucker....so..ughh....BRANDYWINE REPRESENT
by J-Trav February 08, 2005
A Jamaican/Caribbean term meaning "to be". It is said to come from an African language, possibly Ethiopian.
by cfitz911 November 13, 2006
The vengeful act of crapping on a lover's chest while they sleep.Buy the plush


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Popular property highlights
Albany Marriott places you within 2 miles (3 km) of Colonie Center Mall and Northway Mall. This 359-room, 3.5-star hotel has a restaurant, an indoor pool, and free self parking. It's near the airport and also near Watervliet Shaker National Historic Site and Pruyn House.
Explore the hotel and meet new friends over drinks at the bar/lounge, or enjoy a bite to eat at the onsite restaurant. Savor a meal from the comfort of your room with room service, or get a quick energy boost at the coffee shop/café. For your convenience, a buffet breakfast is available for a fee.
All 359 air-conditioned accommodations feature sitting areas. Flat-screen TVs come with pay movies, and guests can stay connected with WiFi and wired Internet. Bathrooms offer hair dryers and free toiletries. Coffee makers and ironing boards are also standard.
At Albany Marriott, guests enjoy features like an indoor pool, a fitness center, and WiFi in public areas. There's free parking, as well as a free airport shuttle (available on request). The front desk has multilingual staff on hand 24/7 to help with dry cleaning/laundry, concierge services, and securing valuables. Additional amenities include 19 meeting rooms, conference space, and a 24-hour business center.
Property features
- Free parking
- Onsite dining
- Free airport shuttle
- Indoor pool
HighlightsInformation missing or incorrect? Tell us!Opens in a new window
Albany Marriott
Hotel Amenities
Hotel Amenities
In addition to an indoor pool, Albany Marriott provides a fitness center and a seasonal outdoor pool. Dining options at the hotel include a restaurant, a coffee shop/café, and a snack bar/deli. A bar/lounge is on site where guests can unwind with a drink. Wireless Internet access is available for a surcharge.
Business-related amenities at this 3.5-star property consist of a 24-hour business center and meeting rooms. Event facilities measuring 15989 square feet (1485 square meters) include conference space. This business-friendly hotel also offers an arcade/game room, multilingual staff, and gift shops/newsstands. A roundtrip airport shuttle is complimentary to guests (available on request). Complimentary self parking is available on site.
Albany Marriott is a smoke-free property.
- Free RV, bus, truck parking
- 24-hour business center
- Conference space size (feet) - 15989
- Conference space size (meters) - 1485
- Number of meeting rooms - 19
- Number of buildings/towers - 1
- Free airport transportation
- Concierge services
- Free newspapers in lobby
- Fitness facilities
- Bar/lounge
- Breakfast available (surcharge)
- Coffee shop or café
- Conference space
- Express check-in
- Express check-out
- 24-hour front desk
- ATM/banking
- Dry cleaning/laundry service
- Arcade/game room
- Number of floors - 8
- Elevator/lift
- Gift shops or newsstand
- Laundry facilities
- Meeting rooms 19
- Multilingual staff
- Total number of rooms - 359
- Porter/bellhop
- Restaurant
- Safe-deposit box at front desk
- Snack bar/deli
- Free self parking
- Smoke-free property
- Indoor pool
- Outdoor seasonal pool
- Television in common areas
- Wedding services
- WiFi (surcharge)
Family Friendly Amenities
- Family Hotel
- Indoor pool
- Rollaway/extra beds available
- Snack bar/deli
- Laundry facilities
- Arcade/game room
- Refrigerator (on request)
- Cribs/infant beds (complimentary)
Available in all rooms: Wireless internet access ( USD 12.95 per day ), Wired internet access ( USD 12.95 per day )
Available in some public areas: Wireless internet access ( USD 12.95 per day )
Free self parking, Free RV, bus, truck parking
Room Amenities
Albany Marriott offers 359 air-conditioned accommodations with coffee/tea makers and hair dryers. Accommodations offer separate sitting areas. Flat-screen televisions come with pay movies.
Rooms have partially open bathrooms. Bathrooms include shower/tub combinations and complimentary toiletries. In-room wired and wireless Internet access is available for a surcharge. Housekeeping is offered daily and refrigerators can be requested.
- Free cribs/infant beds
- Connecting/adjoining rooms available
- Premium TV channels
- Pay movies
- Separate sitting area
- Air conditioning
- In-room climate control (air conditioning)
- Coffee/tea maker
- Refrigerator (on request)
- Shower/tub combination
- Free toiletries
- Hair dryer
- Iron/ironing board
- Daily housekeeping
- Rollaway/extra beds available
- Flat-panel TV
- Partially open bathroom
- Room service (limited hours)
- WiFi (surcharge)
- Wired high-speed Internet access (surcharge)
Where to Eat
Room service (during limited hours) is available.
Buffet breakfasts are available for a surcharge.
Albany Marriott has a restaurant serving breakfast only.
Nearby Things to Do
An indoor pool and a seasonal outdoor pool are on site. Other recreational amenities include a fitness center.
- Golfing nearby
If you have requests for specific accessibility needs, please note them at check-out when you book your room.
- Accessible bathroom
- In-room accessibility
- Roll-in shower
Hotel Policies
Check-in time starts at 4 PM
Special check-in instructions:
Check-out time is noon
Payment types
Children and extra beds
- Children are welcome.
- Rollaway/extra beds are available.
- Free cribs (infant beds)!
- Pets not allowed (service animals welcome)
You need to know
Extra-person charges may apply and vary depending on property policy.
Government-issued photo identification and a credit card or cash deposit are required at check-in for incidental charges.
Special requests are subject to availability upon check-in and may incur additional charges. Special requests cannot be guaranteed.
Only service animals are allowed
No rollaway/extra beds available
Optional extras
- Fee for buffet breakfast: USD 15 per person (approximately)
- Fee for in-room wireless Internet: USD 12.95 per day (rates may vary)
- Fee for in-room wired Internet: USD 12.95 per day (rates may vary)
- Fee for wireless Internet in public areas: USD 12.95 per day (rates may vary)
Hotel Name
- Albany Marriott
- Marriott Albany
- Marriott Hotel Albany
- Albany Courtyard
- Courtyard By Marriott Albany Thruway Hotel Albany
- Albany Marriott Hotel
- Albany Marriott Hotel Albany
We should mention
This property offers transfers from the airport. Guests must contact the property with arrival details before travel, using the contact information on the booking confirmation. The property has connecting/adjoining rooms, which are subject to availability and can be requested by contacting the property using the number on the booking confirmation.


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From Midtown to Harlem: NYC Taxi Trips in Color
Detail from a data visualization of NYC taxi trips by Zoe Fraade-Blanar. Click for full image.
(New York City -- John Keefe, WNYC) -- Take me to Midtown!
That's what most New York City taxi riders were saying one Tuesday afternoon, a new data visualization by Zoe Fraade-Blanar shows in vivid colors.
Fraade-Blanar mapped pick-up and drop-off locations by NYC neighborhood, based on taxi-trip data from the city's Taxi and Limousine Commission.
The graphic represents one hour of rides -- the 4 p.m. hour, well known to New Yorkers as the most difficult time to catch cabs.
The colorful wheel shows the neighborhoods where riders managed to nab taxis that day in March 2009, and where they went. Look at it closely, and follow the neighborhood's color to the cab's destination neighborhood. White bands along the neighborhood arcs indicate the destinations; so the turquoise line crossing the circle are trips from Midtown to Gramercy.
You can see how most of the late afternoon fares in the West Village and TriBeCa are leaving the neighborhood, while in the Financial District and East Village most of them are arriving. While almost all of the rides to and from Chelsea at that hour are to Chelsea. Even the few riders who hailed a cab from the Chelsea were dropped off in the same neighborhood.
Fraade-Blanar started crunching the data with a small team of programmers -- and this journalist -- at marathon meetup of Hacks/Hackers NYC, which brings together programmers, data experts and media folks. That event also led to another Fraade-Blanar graphic showing 24-hours of taxi trips.


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Hotels in Arena Civica
Arena Civica Hotels
Via Nazionale 67 S.Paolo D'argon BERGAMO Bergamo - 24060, Bergamo, Italy
Via Milano, 2 - 20097, San Donato Milanese, Milan, Italy Milan - 20097, Milan, Italy
Via Tommaso Grossi, 1, Milan, 20121, Italy Milan - 20121, Milan, Italy
Via Lampedusa, 11/A - 20141 Milano (South Area of Milan) Milan - 20148, Milan, Italy
Via Varese 23, Saronno, Milan 21047, Italy Milan - 20147, Milan, Italy
Via Lomazzi 23 Lenno, Tremezzina, 22016, Italy Como - 22016, Como, Italy
To the northwest of the center of Milan, you will find the Parco Sempione, or Sempione Park, and in the northeast corner of the park is the Arena Civica. In Milan, near the Arena Civica, visitors come in the thousands to the Fiera, or Exhibition Hall. A majority of the citys commercial business is conducted in the Fiera.The Arena Civica is a stadium that was built in the first years of the 19th century. This neoclassical styled structure can hold up to 30,000 people, depending on the event. Since it opened, events held at the stadium have included some unusual attractions such as naval battle re-enactments or Wild Bills Wild West Show. The Arena Civica is mainly used for concerts and sporting events. You can reach it easily on the Linea 2 (green line) metro.
Arena Civica Details
Address: Viale Giorgio Byron, 2, 20154 Milano, Italy
Opened: 1807
Phone: +39 02 0202
Architects: Luigi Canonica
Province: Province of Milan


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petsupplies.com > Dog Supplies > Treats > Meaty Dog Treats > Item # 498453
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How Do Flea and Tick Pet Medications Work?
An infestation of fleas or ticks on your pet can be a nightmare for your both, from endless flea baths and powders to the threat of Lyme disease. Using preventative medication can combat those bugs and keep your pet happy, healthy and doing what they do best — running, jumping and playing outside. Learn more about flea and tick medications and how they work, below.
The Importance of Flea and Tick Medication for Pets
Preventing fleas and ticks is an important part of caring for your pet and keeping yourself (and home) pest-free.
"In addition to being a nuisance, [fleas and ticks] can transmit parasites and numerous disease-carrying organisms, with illnesses that could range from mild to life-threatening," Bell says. "This risk isn't just for cats and dogs, but for the people who share their environment."
Left untreated, fleas can cause skin rashes, anemia and bacterial diseases while ticks can be a carrier of Lyme disease, a dangerous and potentially damaging condition for your pet. Fleas can be picked up from the outdoors, other pets and indoor areas where fleas may be present. They reproduce rapidly, and can be a major problem for people's clothing, furniture, and hair in addition to their pet. Ticks are generally picked up outdoors, especially in heavily wooded areas.
How do Flea and Tick Medications for Pets Work?
There are a variety of different types of flea and tick medications, including topical treatments, oral medication and flea and tick collars. To be effective, the medications rely on chemicals that paralyzes and/or kills fleas or ticks at their various life stages, said Susan O'Bell, DVM at the MSPCA-Angell Animal Medical Center. Common chemicals found in these medications include permethrins, fipronil, amitraz and diatomaceous earth that are responsible for killing the bugs before they can lay eggs on your pet's skin.
Topical treatments tend to be the most popular form of flea and tick prevention, and are used by applying the medication between your pet's shoulder blades or at the base of their neck. They are absorbed by the animal's oil and sweat glands in the skin, and help your pet repel fleas and ticks within 24 hours. These treatments are waterproof, but need a full day to dry after being applied. Some products claim to repel mosquitos and flies, but both don't, according to Bell. For prevention of additional pests, including heartworm, mites and round or hookworm, talk to your veterinarian about the proper product to use for your pet.
Finding the Right Flea and Tick Medication For Your Pet
There are a variety of products designed to help keep your pet flea and tick free, including sprays, oral medications, topical medications and collars. Your veterinarian will often have these types of products in their office, and you should consult with them before choosing the right treatment for your pet, Bell says. If you're looking to purchase preventative products elsewhere, be sure to always shop for flea and tick medication from trusted, reliable sources. Knowing the source of these products, particularly in case of product failure or an adverse reaction, will help you seek help if you need it, Bell says.
"Use the expertise of your veterinarian and support staff to help you make the best decision for your pet based on a risk assessment for flea and tick infestations," she says. "The advantage of all these options is that you'll be able to find a product that fits the needs of your pet quite well."
Once you've determined which product you'll use, make sure to read the instruction labels carefully and follow the directions closely, Bell said. Call a consumer hotline or your vet if you have any questions before use, and make sure you follow the age, weight and animal guidelines on the label. Some medications safe for dogs, like permethrins, can be very toxic to cats, making it essential to use the right product for the proper pet.
Though rare, more adverse reactions to these medications is possible, so be sure to monitor your pet closely in the first few days following its application, and try not to give your pet any additional medications when trying a new flea and tick treatment, Bell says.
Get more information about flea and tick medication and prevention here.
Shop flea and tick medications here.
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text: I work in an office setting and the dress code is pretty lax. I get by fine in khakis, button down and some JM venetian loafers. If I wore a sport coat people would think I had a job interview or something. I would like to find a well made shoe that steps my game up slightly while not spending more than say $300 or so. I read a thread on here and it gave me a few ideas but I am trying to narrow this down. I am pretty clueless about clothes and I am pretty sure I don't have a "style". My goal is to look professional and preppy (for lack of a better term). I want to be able to wear my uniform (BB or polo button down, pressed khakis, etc) but also dress it slightly up or down (i.e. jeans on the weekends or with a sport coat if need be). I don't know enough about brands to be picky other than I want better quality that the usual mall suspects (Johnston Murphy, Cole Haan, etc.). I have had those and they seem to fall apart in about a year or so. My research says I can do one of the following: 1)Beefroll pennys (weejuns, AE kenwoods) 2)Saddle shoes (AE Sheltons) 3)Blucher (Macneil, Walton) I have been wearing venetians but I am open to pennys (no tassle). I have looked at the rancourt venetians and they are nice but due to the short heel on them they don't look substantial or dressy enough. I am not sure about which way to go in terms of wingtip, plain toe, etc. I want shoes with personality but I don't want them to draw too much attention either. It is hard to find a balance. For instance the Walton looks like a nice clean shoe that has that one seam to break things up whereas the macneils are really ornate and might be a bit much. As for the saddle shoes, I kind of like them because I don't see many people wearing them and yet they are kind of low key. I don't live close enough to a store that sells these shoes so it is hard to just try them on an see how they look/feel. I would appreciate any thoughts to help me figure out how to make this simple choice. We need a flow chart for this stuff.


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Chief Kenton Buckner
Kenton Buckner became the 35th Chief of the Little Rock Police Department on June 30, 2014. Prior to that, he spent twenty-one years with the Louisville Metro Police Department.
He started as an Officer in 1993 and rose through the ranks to Sergeant (2004), Lieutenant (2008), and Major (2009). From 2011 to 2014, he held the rank of Assistant Chief. He oversaw the Support Bureau which contains Major Crimes, Narcotics/Intelligence and Special Operations.
Chief Buckner has a Bachelor of Science and a Master of Science degree from Eastern Kentucky University. He has also participated in law enforcement training programs sponsored by the Federal Bureau of Investigations, the Southern Police Institute and the NOBLE Chief Executive Officer Mentoring Program at Cedarville College.
He has been involved with the International Association of Chiefs of Police, Kentucky Police Chiefs Association, National Organization of Black Law Enforcement Executives, and Police Executive Research Forum. He has also been involved with Big Brothers and Big Sisters.
Among Chief Buckner's professional accomplishments are participation in a National Counter-Terrorism Seminar in Israel, Spanish Immersion Program in Mexico, and U. S. Secret Service Dignitary Protection Seminar. He has also been an Adjunct Criminal Justice Instructor and participated in management audit of Cincinnati Police Department.
Questions for the Chief?


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Offi Doodle Drawer Desk
What a neat little funky desk! I love the fun shape of it, and the under-seat storage drawer is a great idea too. A fab children's desk all around. (Though only perfect for right-handers, eh Shawn?)
Robotic style dog sharpens pencils with his head and stores the shavings in his face. And also the battery compartment is in his butt. He's a pretty nice guy. And sharp, too.
I want this notebook. Its a cute dog with a mustache! There are several other designs to choose from as well.
How many times did your mom warn you about sticking objects up your nose?
Did you ever hold a pencil between your lip and nose when you were younger? Now when you do that, you can really have a pencil mustache!
when i was in first grade, i accidently stapled my finger thinking that the stapler was empty. if i had this back then, that wouldnt of happened! wicked cute & safe, especially for kids!
I know these cute little guys are on thisnext in other places, but if you are making a list of cute bird things they need to be here :)Tags: kids, home, gifts, office supplies, japanese, storage, office, style, home decorAdded 8 Years Ago from Redstamp
Not an empty diary or journal but rather a trip down memory lane to inspire the secret keeper within.... Editorial Reviews Product Description Did you keep a diary during your teen years? Do you have a box of loopy-cursive, n... Not an empty diary or journal but rather a trip down memory lane to inspire the secret keeper within.... Editorial Reviews Product Description Did you keep a diary during your teen years? Do you have a box of loopy-cursive, never-sent notes to your crush? Or some overwrought poetry about your bleak existence? An unfinished rockopera? Well, you're not alone, and in Cringe, you'll find a reason to unearth your adolescent angst and have a good laugh—at yourself. A compilation of real teenage diary and journal entries, letters, songs, stories, and lists—along with biting commentary, background, and self-examination from the now so-called grown-ups who wrote them—Cringe offers a voyeuristic glimpse at the roller coaster of youth in all of its navel-gazing, soul-searching, social-skewering glory. Cringe -worthy excerpts include Really bad poetry: I lumber like the sad clown with the hope that my performance might make you smile. Yet I am a flickering star over a cloudy sky. Blush-inducing pep talks: OK. It's the end of February. No more kidding around! You have to go out with someone! You haven't gone out with someone since the summer! At least fool around with someone! Come on! You've got it in ya! Questionable motivations: My mom is madly in love with her boyfriend. . . . Cool! He's so rich . . . I could get a lot out of this— vacations, a car—if he buys my mom one + she gives me hers—psyche! And rages against the world at large: I am living in a dream world. Wishes are a bunch of crap. They never come true so what's the use of even wasting your time hoping they'll come true when they don't? Inspired by the New York–based reading series of the same name, Cringe will help you realize that being a grown-up isn't all that terrible. At least you don't have to worry about who's going to be at the mall anymore.Tags: kids, gifts, books, accessories, writing, paper, memories, love, stationaryAdded 9 Years Ago from Amazon.com


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Dandelion, Earth-Friendly Goods is a new division of Re-Think It, Inc that offers a sophisticated look while reflecting a back-to-basics, eco-conscious style. Dandelion offers baby products that are safer for your baby and for the environment! All of the products available at Dandelion are made of organic, natural & recycled materials. I love this aspect of Dandelion and it is what first interested me. Whenever I hear about organic and eco-friendly toys, I like to check them out. Usually there is a very limited variety in the products available and I'm usually disappointed. This was not the case with Dandelion and that is why I'm so excited to share them with you!
I felt so lucky when I had the opportunity to review some of the great products available from Dandelionand spent a great deal of time browsing the website. While I recommend you check out all of the pages to really get an idea of the amazing variety that is offered some of my favorites include the Bamboo Zoo plush and cuddlies, the Organic Developmental Toys, and the Organic Rattles and Teethers. They even have a Holiday section and a section full of Handmade products! They really offer some of the greatest variety of eco-friendly baby products I have seen anywhere!
One of the Dandelion products I was able to review was the Organic Shape Sorter from the Developmental Toys section. I'm always on the hunt for developmental toys that are appropriate for W but will also be durable. I like that the shapes in the sorter are soft and make a variety of sounds. They are also the perfect size for little hands and mouths.
I love the high quality and washability of all of the Dandelion products. If you're looking for great developmental toys for your little one and would also prefer organic products, check out Dandelion. They offer a nice variety of developmental toys. Help your baby develop her motor skills while being kinder to the environment! What more could you ask for?
One lucky Formula Mom reader will win their own Organic Shape Sorter from Dandelion!
This giveaway is now closed.


text:
55 Gallon For Sale and Cichlids
I've got my used 55 Gallon Up for sale
I am in the process of finishing up a DIY Concrete and Foam background/aquascape and bought a new tank to go with it. So the old one will be available (assuming all goes as planned).
I'm looking for $35 for the tank. There are a few scratches on the lower portion of the tank but is still very useable.
I also have a few female cichlids available for trade.
Metriaclima greshakei
Metriaclima lombardoi
Also a metriaclima callairos that is not currently in my 55g because my socolofi keeps wanting to mate with her and won't leave her alone. Make an offer on the cichlids. I would prefer to trade for other African Cichlids. I am also looking for some anubias.
I will also be attending the Capital Cichlids Association meeting on Saturday. We can arrange to meet then if not later this week.
PM for details/questions/more photos
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Trestle Press Mission Statement
Friday, May 4, 2012
Roger Rheinheimer & Crystal Linn: Amish Forever-Volume 8- Broken Hearts-Look For it This Weekend!
Ava finds herself sad and confused because of Zeke's late night confession and announcement that he was leaving to join the military. In the meantime John and Helen are having relationship problems and Helen's father, Mr. Mathias, is involved. Abe's total lack of responsibility creates problems for Bliss. Ava's frustration and confusion increase when Jed makes a special trip to the Troyer farm to inform Ava that he has an English girlfriend and that it would be of no use to Ava for her to think about Jed coming calling for her. Roger Rheinheimer spent the first eighteen years of his life in northern Indiana. His father was the only doctor for a small town of 1200, and had a hitching rail on a side street by his office for the Amish patients. His father bought an eighty acre farm, and Roger and his older brother worked it, raising cattle and growing crops. While he was still in high school, Roger learned woodworking skills from Elmer Schlabach, his Amish mentor. They built houses in the old-fashioned tradition, from hand-mixing the concrete for the foundations to hand-nailing the shingles. The only phase they did not do was the electrical. To this day, Roger enjoys using his wood crafting skills, making acoustic guitars and furniture. Roger earned an undergraduate degree in Behavioral Psychology from a small private college in the Shenandoah Valley, took a Creative Writing class, loved it, and published a short story called My Brother. He was a regular contributing writer to the college newspaper. Roger has two novels in print and ebook, Amish Snow and Yield Spread: a novel. Crystal Linn is a free-lance writer and award-winning poet who teaches a variety of creative writing classes. Her third book, Poetry for Friends, is scheduled to be released in the spring of 2012. She lives in the greater Seattle area where she enjoys reading mysteries, writing poetry and sailing with friends and family.
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Will T-Systems Be Competing With Amazon Soon?
Posted by Stefan Ried on November 22, 2010
- 552 Recommendations
- 5 comments
With its latest public cloud offering, T-Systems not only comes close to Amazon's EC2 pricing, it might even be cheaper than Amazon. The €4 billion, German headquartered IT services firm announced today a public beta running from November 2010 to February 2011.
Although Amazon recently made a time-bombed version of its EC2 available for free, a real, unlimited service still costs in the range of $0.095 per hour for a small server of one core with 1.7 GB RAM in Europe. Last week, Forrester had the chance to look at a beta version of T-Systems' public cloud offering. Although no pricing has been announced officially, the beta showed the price for a virtual machine of a similar size to the aforementioned Amazon machine starting at €0.2/hour. T-Systems inidcated that they even like to go below the Amazon pricing! T-Systems has been working for more than a year with cloud provisioning tools from Zimory to manage the virtualization of larger-scale server and landscape compositions. Leveraging this experience, T-Systems manages to drive efficiency even further than the current economies of scale, which makes this aggressive move possible.
Is T-Systems planning to seriously compete with Amazon in the future and does it make sense for a traditional large enterprise IT services and hosting firm to compete with low-price public cloud offerings?
T-Systems' public cloud beta shows a continuous memory sizing in a state-of-the-art self-service portal.
T-Systems' current beta of a public cloud offering comes with an aggressive pricing model, which is cheaper than Amazon's EC2 pricing level. (Shown here are the prices for a 1.7GB single core virtual machine.)
To answer this question, I'd like to turn it around for a second:
Does Amazon really compete with an enterprise hosting firm like T-Systems, which makes annually more than €1 billion in revenue with the operations of SAP servers in a modern dynamic infrastructure?
Well, Amazon is moving into this direction with its enterprise IT offering, but it is not yet perceived as offering the same level of security, trust, and reliability, especially by European customers. Forrester laid out its understanding of the difference between public, virtual private, and private cloud offerings in its cloud computing taxonomy and characterized the difference between Amazon's and T-Systems' focus.
We expect that Amazon will keep its core business in the area of highly scaled-out public cloud offerings, where it really differentiates itself from the traditional providers. This means that IT users wanting (or expecting) a higher SLA have a choice. They could use a third party that can refine a commoditized public cloud infrastructure like EC2 into an enterprise-ready cloud. Many platform-as-a-service (PaaS) offerings such as Tibco's Silver and future cloud broker offerings follow this approach. Alternatively, users were able to select a different cloud infrastructure based on the different nature of workloads — until now. For example, they could use a dynamic enterprise hosting offering from T-Systems to run productive but already virtualized SAP systems and then use another public cloud provider to run test and development systems at a lower level of reliability and performance. Unfortunately, the security requirements for the latter might have been rather on the strict side due to legal compliance issues in Europe.
This is exactly the dilemma that T-Systems' new public cloud offering will address. It's a low-end cloud infrastructure-as-a-service (IaaS) offering with an appealing level of security and that is very closely integrated with the high-end part of a customer's enterprise environment that is already hosted at T-Systems. Customers will be able to easily move virtual machines and large volumes of data (!) in hybrid models between more public-cloud-style offerings and the more enterprise-style virtual private offering. Thus, the new T-Systems Cloud will actually compete with Amazon's EC2. But, frankly, both companies will only compete to this extend, to which Amazon will challenge T-Systems in its next generation agile large-scale enterprise infrastructure. As long as Amazon is not perceived as a major player in large enterprise hosting, T-Systems will not be perceived as a major public cloud player outside its customer base.
Is it a good idea for other large enterprise IT service providers to make a similar move?
This really depends on the maturity and nature of the customers you would like to retain as a service provider. If your customers only run packaged applications with very little of their own development, have lower security and regulatory requirements, or have a nearly constant demand of compute power, transforming your existing hosting service into a standardized pay-per-use offering with a high level of security, performance, reliability, and price will be fine. You won't see many of your customers' workloads shifting to public cloud offerings. However, if your customers are actually starting to move test and development or jobs with fluctuating performance demand to public clouds, you need to complement your enterprise IT offering with a public-cloud-style IaaS. Obviously, only $/€1 billion-plus IT services providers can deliver such a wide portfolio and have the internal economies of scale for a margin mix among the different levels of cloud computing.
Let my know what you think about this move of T-Systems is you are on the provider side. Have you considered adding an agressive low end offering to your enterprise services already?
Related Forrester Research
It will be interesting to see
Comment from Christoph Streit Streit (not verified) on Tue, 11/23/2010 - 04:15
It will be interesting to see more details about the offering from T-Systems, especially some technical details (what Hypervisor, OS's available, etc.).
However I would like to correct you. The small Amazon instance costs only $0.095 / hour, not $0.38 (this is the large instance).
Comparing the prices, the T-Systems offering is way more expensive than Amazon EC2.
It will be interesting to see
Comment from Stefan Ried on Tue, 11/23/2010 - 04:30
yes, price comparison is difficult. Please note that Amazon prices differ if you click on US or Ireland/EU hosting and also by the OS. Right, there are some options where Amazon is below T-Systems, some where T-Systems will be below. Please note that you can create even smaller virtual machines than the Amazon Small image type. I asked T-Systems to keep this continous flexibility on sizing.
A great tool to compare availability of IaaS-Clouds is www.cloudsleuth.net, but it does not compare prices.
The T-Systems cloud beta supports XEN, VMWare and VMWare-ESX images.
Stefan Thanks for your reply.
Comment from Christoph Streit (not verified) on Tue, 11/23/2010 - 04:36
Thanks for your reply. It is true, comparing Amazon prices with other Cloud providers is very difficult. But, the price you mention in your post ($0.38) is for a large Amazon EC2 instance in EU/Ireland (7.5 GB Ram and 2 Cores).
This flexible pricing can also be done with our (ScaleUp) cloud offering here in Germany. Our prices are higher than Amazon but still below the prices you published for T-Systems (even without the large scale that T-System will/might have).
Amazon pricing correction
Comment from Stefan Ried on Tue, 11/23/2010 - 04:54
thanks for the pointer, yes, you are right, the AWS starts at $0.085 (US)/0.095 (EU) / hour for a small instance. I have updated the blog above. Nevertheless T-Systems made the statement to analyst that they will go below the Amazon price for some configurations. And totally agree, there are many alternatives like www.scaleup.it or www.elastichosts.com.
One differentiator to T-Systems is the ability to swap data between these low end environments and productive large scale environments.
Value-add through Higher Level PaaS
Comment from Thomas Gronbach (not verified) on Fri, 12/03/2010 - 05:19
Hi Stefan,
A very interesting take on this piece of news. You know Fujitsu's offerings in this space well, and I see from your Twitter stream that you also commented: "Rolf Schwirz of #Fujitsu indicated more investments into Fujitsu's Cloud-Software stack. http://bit.ly/eagwuB"
As you indicated, service providers ultimately need to understand what their customers current and future needs are likely to be. While relative price is always an important consideration, to many of the independent software providers I speak to, and who use Fujitsu's ISV Cloud Program, just as important are the business value-add from:
- higher level services (including full control of how they brand and market their offerings)
- ease of use and transferability due to open standards (interoperability with other systems, reduced lock in, investment protection)
- security measures that exceed their customers' needs (wherever they are in the world)
- not to mention complete flexibility within whichever cloud architecture they choose, even a hybrid mix of private, public or trusted cloud.
Like you, I like to use the word dynamic liberally, when referring to cloud and IT architecture!
Thomas Gronbach
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text:
Popular property highlights
Located in East San Antonio, Red Roof PLUS+ San Antonio Downtown - Riverwalk is within a 10-minute walk of popular sights such as Alamo and Rivercenter Mall. This 215-room hotel welcomes guests with conveniences like an outdoor pool, free in-room WiFi, and coffee/tea in a common area. Near the airport, it's also near River Walk and Alamodome.
Order from room service to satisfy your hunger without leaving your room.
All of Red Roof PLUS+ San Antonio Downtown - Riverwalk's 215 rooms are air-conditioned and have an array of amenities, including coffee makers, free local calls, and ironing boards. Guests can expect free WiFi and flat-screen TVs with cable channels and pay movies. Hair dryers and desks are other standard amenities.
Red Roof PLUS+ San Antonio Downtown - Riverwalk features an outdoor pool, free WiFi in public areas, and conference space. Self parking is available for USD 15.00 per day. The 24-hour front desk has staff standing by to help with dry cleaning/laundry and luggage storage. Additional amenities include coffee/tea in a common area, a computer station, and laundry facilities.
Property features
- Walking distance to Alamo and River Walk
- Free WiFi in rooms and public areas
- Outdoor pool
- Laundry facilities
HighlightsInformation missing or incorrect? Tell us!Opens in a new window
Red Roof PLUS+ San Antonio Downtown - Riverwalk
Hotel Amenities
Hotel Amenities
High-speed wireless Internet access is complimentary. Event facilities measuring 600 square feet (56 square meters) include conference space and a meeting room. This San Antonio hotel also offers an outdoor pool, coffee/tea in the lobby, and laundry facilities. Onsite parking is available (surcharge).
Red Roof PLUS+ San Antonio Downtown - Riverwalk is a smoke-free property.
- Smoke-free property
- 24-hour front desk
- ATM/banking
- Number of floors - 6
- Coffee/tea in common areas
- Conference space
- Elevator/lift
- Computer station
- Total number of rooms - 215
- Laundry facilities
- One meeting room
- Luggage storage
- Self parking (surcharge)
- Conference space size (meters) - 56
- Outdoor pool
- Dry cleaning/laundry service
- Free WiFi
- Conference space size (feet) - 600
- Number of buildings/towers - 1
Family Friendly Amenities
- Family Hotel
- Outdoor pool
- Free Wi-Fi
- Laundry facilities
- Cribs/infant beds (complimentary)
Available in all rooms: Free WiFi
Available in some public areas: Free WiFi
Self parking (surcharge)
Room Amenities
Red Roof PLUS+ San Antonio Downtown - Riverwalk offers 215 air-conditioned accommodations with coffee/tea makers and hair dryers. Flat-screen televisions come with premium cable channels and pay movies. Bathrooms include shower/tub combinations.
Guests can surf the web using the complimentary wireless Internet access. Business-friendly amenities include desks and phones; free local calls are provided (restrictions may apply). Additionally, rooms include irons/ironing boards and blackout drapes/curtains. Housekeeping is provided daily.
- Flat-panel TV
- Premium TV channels
- Pay movies
- Blackout drapes/curtains
- In-room climate control (air conditioning)
- Air conditioning
- Phone
- Free local calls
- Coffee/tea maker
- Daily housekeeping
- Private bathroom
- Shower/tub combination
- Cable TV service
- In-room safe (surcharge)
- Hair dryer
- Room service (limited hours)
- Connecting/adjoining rooms available
- Free cribs/infant beds
- Iron/ironing board
- Desk
- Free WiFi
Where to Eat
Room service (during limited hours) is available.
If you have requests for specific accessibility needs, please note them at check-out when you book your room.
- In-room accessibility
- Roll-in shower
Hotel Policies
Check-in time starts at 4 PM
Minimum check-in age is 21
Check-out time is 11 AM
Payment types
Children and extra beds
- Children are welcome.
- Kids stay free! Children 17 years old and younger stay free when using existing bedding.
- Free cribs (infant beds)!
- Pets stay free
- 1 per room (up to 25 lb)
- Restrictions apply
- For more information contact the property at the number on the booking confirmation
You need to know
Extra-person charges may apply and vary depending on property policy.
Government-issued photo identification and a credit card are required at check-in for incidental charges.
Special requests are subject to availability upon check-in and may incur additional charges. Special requests cannot be guaranteed.
- The name on the credit card used at check-in to pay for incidentals must be the primary name on the guestroom reservation.
Pets allowed (no fees)
No rollaway/extra beds available
Optional extras
- Self parking fee: USD 15.00 per day (in/out privileges)
- In-room safe fee: USD 1.50 per night
Hotel Name
- Red Roof PLUS San Antonio Downtown Riverwalk Hotel
- Red Roof PLUS Hotel San Antonio Downtown Riverwalk
- Red Roof PLUS San Antonio Downtown Riverwalk
- Red Roof San Antonio Downtown Riverwalk
- Red Roof Inn San Antonio Downtown - Riverwalk Hotel San Antonio
We should mention
Children 17 years old and younger stay free when occupying the parent or guardian's room, using existing bedding. The property has connecting/adjoining rooms, which are subject to availability and can be requested by contacting the property using the number on the booking confirmation. Guests can arrange to bring pets by contacting the property directly, using the contact information on the booking confirmation.


text:
Last month's pretty funny and creative spoof of Jeffrey Deitch's selection to run MOCA (with some great insider references to the L.A. arts scene and digs at Eli Broad's power) went unclaimed for awhile. But now LA Weekly senior features editor Tom Christie has come forward to claim his due accolades, posting at Facebook what some suspected: "36,229 views later, what the hell: I confess." As I advised when I first posted it up in the video box, if you can't laugh at anything Hitlerian, don't go there.
More by Kevin Roderick:Ralph Lawler of the Clippers and the age of Aquarius
Riding the Expo Line to USC 'just magical'
Last bastion of free parking? Loyola Marymount to charge students
Matt Kemp, Dodgers and Kings start big weekend the right way
LA Times writers revisit their '92 riots observations
Recent Arts stories on LA Observed:Ralph Lawler of the Clippers and the age of Aquarius
Silver Lake Badminton and Adventurers Club solves the crime
Pedro E. Guerrero photography at gallery in Hollywood
Bob Dylan on the passing of Levon Helm
Michael Heizer living at LACMA while he seats the boulder
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Curtis Acosta responds to the winners of the Spring 2015 "Learning That Matters" essay competition.
Writing Competition
Do teachers and administrators at your school discipline students with dignity? Or with disrespect?
Whether or not you agree with war, how might you welcome a war veteran home and support his return to community life?
If you simplified your life, what things would you get rid of or use less?
Do genetically modified organisms (GMOs) in your food concern you?
What would happen if you deliberately spoke to or smiled at people you might usually ignore- cashiers, the homeless, or someone of a different ethnicity?
If you could design your dream house, what would it look like?
Does it matter who you eat with and how often you eat together?
Hunting is a complex issue and can evoke emotional arguments. Is hunting moral? Can it be done in a respectful, humane way?
How do you resolve differences you have with family members and friends?
We all have gifts worthy of sharing. What's your gift?
Want a motivator to take your students' writing to a higher level? Here's an opportunity for them to write for a real audience, and the chance to get published by an award-winning magazine.
Read Leah's essay, "Fearless Future," about replacing worry with bravery that tells her that she can do it, whatever "it" may be.
Read Rechanne's essay in poetic form, "Doctor's Orders," about the impact that worry has on her and her family.
Read Noah's essay, "Blessing in Disguise," about how his dad's perseverance reminds him to be grateful and smile through any hardship and obstacle.


text:
enriching mathematics
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Proof: A Brief Historical Survey
Stage: 4 and 5
Article by Leo Rogers
Published February 2008,February 2011.
A proof of a mathematical statement is a logical argument that shows the statement is true according to certain accepted standards.
The idea of proving a statement is true is said to have begun in about the 5th century BCE in Greece where philosophers developed a way of convincing each other of the truth of particular mathematical statements. They had to agree definitions of certain basic ideas (e.g. point, line, surface), and axioms [
see note 1 below
] which were statements about the starting points (e.g. that it is possible to draw a circle of any radius). Over time these ideas and many others were developed in geometrical form, and finally collected and organised in thirteen Books by Euclid (325-263 BCE) in what was called his "Elements of Mathematics".
Ideally, the proof of a statement in any particular branch of mathematics uses the rules, definitions, axioms and theorems of that branch of mathematics, together with the rules of logic. Even though arithmetic, algebra and geometry each have different rules and procedures, we use the same kind of logic for each of them.
Direct and Indirect Proof.
Direct Proof
Direct Proof is possible if we have agreed axioms and definitions to start from and an agreed method (a logical argument) that enables us to proceed logically step by step from what we know to what we do not know, but think is true.For example, propositions 5 and 6 in Euclid Book I are about the equality of the base angles of an isosceles triangle [
see note 2 below
]. This is "obviously" true, but still has to be proved from first principles.
For some more difficult problems mathematicians developed a method of "working backwards". This works by assuming that the desired result is true, and showing that the consequences of that assumption are consistent with known facts and the basic principles. The final proof still had to be written out in the correct order.
Constructive proof is another form of direct proof. This is where an object has to be directly constructed from the basic elements of the system. There are many constructive proofs in Euclid Book I. Proposition 1 for example, shows how to construct an equilateral triangle [
see note 3 below
However, it is not always possible to prove something by keeping to the strict rules of direct proof, and so mathematicians devised forms of indirect proof to achieve results.
Indirect Proof
Indirect proof means that we try to find a way of obtaining a result in some "round about" way. One way is by supposing that if the result we are looking for is not true, then the starting point cannot be true. [
see note 4 below
Reductio ad Absurdum
or Reduction to the Absurd [
see note 5 below
] is another method of indirect proof where we try to show the opposite of the proposition to be true, but as soon as we come to a situation in the argument that we know is impossible, then we can say that the original proposition was true.
The proof that the square root of two is not rational
ee note 6 below
] is a classic problem where an Indirect Proof is used. A proof originally attributed to Aristotle (384-322 BCE), uses basic ideas of arithmetic. This proposes that the diagonal of a square can be represented by a rational fraction, and produces an argument that constructs a number that is both even and odd (which is not possible of course).
In the 5th and 6th centuries BCE, the Pythagoreans [
see note 7 below
] were interested in finding a common measure for the side of a square and its diagonal and discovered that these two lengths were incommensurable [
see note 8 below
] by using a geometrical construction. In geometrical terms, this can be demonstrated by the successive subtraction of the smaller length from the larger:
In the red square in Figure I, BD = AB (=AC) and if BC (the diagonal) and AC (the side) have a common measure it must also be a common measure for CD = BC-BD.
Now AB' = B'D = DC
And B'C = AC - AB'. So B'C must also have the same common measure.
So, in the green square, the diagonal B'C and the side DC have the same common measure. By the same argument as for the red square, DC' minus DD' leaves D'C' (which again has the same common measure). This means that no matter what the size of the square, the common measure will always be the same. [
See note 9 below
This is an indirect proof, because it shows that the process goes on forever producing a lower limit which is zero - contradicting the idea that a common measure can be found.
Diagram I
In order to overcome some of the difficulties experienced by the Pythagoreans, Euclid ( in Book X of his Elements) showed how to manage the mathematics of incommensurables like $\sqrt 2, (3 + \sqrt 5)$ , etc, [
See note 10 below
] purely by geometrical constructions.
Keeping to the rules?
However, even in Euclid's Book I, the first proposition about congruent triangles [
See note 11 below
], there were unsubstantiated assumptions. Euclid used the idea of "superposing" one triangle on another by a kind of transformation, but there are no postulates or definitions about what is meant by this action. In other words, even Euclid used an idea that was not fully justified.
It is now recognised that Archimedes (287-212 BCE) developed his own methods for calculating difficult results about areas and volumes enclosed by curves and surfaces, and then rewrote them in terms of the standard geometrical procedures of the time [
See note 12 below
]. In a letter to a friend he said,
"I set myself the task of communicating to you a certain geometrical theorem which had not been investigated before but has now been investigated by me, and which I first discovered by means of mechanics and then exhibited by means of geometry."
In his first proof of the area of a parabolic segment, Archimedes used his discovery of the properties of the lever to balance the weight of a segment of a parabola against the weight of a triangle. In his second proof he used the method of exhaustion to show that the area of the segment was $\frac{4}{3}$ that of the triangle.
So, the ideal proof methods set up by the earliest European mathematicians were not always adhered to, and later we will see that other mathematicians were still breaking the rules in order to achieve new results.
In the early ideas of the calculus, Cavalieri (1598-1647) and others adapted Archimedes' method of exhaustion to develop the method of "indivisibles". These were conceived of as infinitely small elements of lines, surfaces or volumes. Arguing by analogy, a line was made up of points, a surface was made from lines, as in the weave of cloth, and a volume thought of as a pile of very thin sheets of paper. In this way, areas and volumes of new objects could be compared with areas and volumes of known objects by a process of transformation.
For example, the area of a triangle was thought of as a very large number of very thin parallel lines. These were called 'Line Infinitesimals'. Areas of triangles on the same base and between the same parallels are equal. If each line remains the same total length, then the areas of the irregular shapes are the same as the area of the triangle
Throughout the 17th century, "
proof by demonstration"
was common.
The general idea was,
"If I show you enough examples of how the algorithm works, then you will be convinced'.
Mathematicians demonstrated how they achieved their results in the early calculus by showing diagrams of curves, and sufficient examples of the procedures to convince their audience. In most cases the truth of the result was established by it's practical application, or that it achieved the same results as already known by a geometrical method. These experiments and demonstrations aided the discovery of interesting and important results, but did not conform to the strict standards of proof because they were based on unjustified assumptions about the very small quantities eventually "disappearing".
Many mathematicians were uncomfortable with this situation, but a logical basis for the calculus methods did not appear until the middle of the 19th century.
This is part of the first English Edition of Newton's method for discovering the areas under curves using his method of infinite series published in 1745.
This is the general rule for what we now call 'integration' in the calculus.
Newton gives examples to demonstrate how it works with different algebraic expressions.
When mathematicians like La Hire (1640-1718) and Chasles (1793-1880) began to develop projective geometry, they used a method called "projection and section" to show that many Euclidean proofs were also valid in the new geometry. For example, it was well known that the ellipse could be obtained by taking a section through a cone, so why not think of the ellipse as a transformation of a circle and look for the properties which remain the same? [
See note 13 below
For example, making an oblique cut on a circular cone produces an ellipse. By the method of 'Projection and Section' we can imagine the ellipse as the 'shadow' of the circle on a plane. Brianchon's (1783-1864) theorem states that if six vertices of a hexagon on a circle are joined as in the diagram, the intersections of the chords joining the points as shown lie in a straight line. The same result is also true for the ellipse or any other conic section. This is related to Pascal's theorem where the three points of intersection of the opposite sides of a hexagon lie in a straight line.
Imre Lakatos, in his
Proofs and Refutations
tells the story of the way the proof of the Descartes-Euler conjecture (F + V = E + 2) about counting the Faces, Vertices and Edges of polyhedra [
see note 14 below
] was challenged by scientists working in the new field of crystallography, and how the original definition of a polyhedron had to be changed [
see note 15 below
]. For example, it is possible to grow isomorphic [see note 16 below] crystals, one 'inside' another and there is a good argument to suggest that the conjecture might not be valid in this case. There are many examples where counterexamples of mathematical propositions have come from the physical world and mathematicians have had to re-think their theories.
The blue cube and the yellow cube are isomorphic.
Can this be one polyhedron or two?
So F + V = E + 4?
What about a tetrahedron inside another tetrahedron?
In recent times, computers have been used to investigate solutions of difficult mathematical problems and one was used to tackle the proof of the famous Four Colour Theorem using a program to enumerate all possible maps [
see note 17 below
]. The big question was since all proofs up to this time had been proved by people, was the fact that it had been completed by a computer a valid proof or not, and how could anyone be sure the computer had covered all the possible cases? This kind of counting procedure is called
proof by enumeration
proof by exhaustion
Proof by experiment
or showing examples has always been a problem, as we have seen with the polyhedra and the maps, since we never know whether we have all the possibilities or when somebody will discover a counterexample. We need clear definitions and logical argument based on agreed facts to provide a sound proof.
Today, mathematicians have many ways of tackling proofs by using one system to help them find results in another. For example, Pythagoras' Theorem can be regarded as an arithmetic relation, an algebraic generalisation, a formula in trigonometry, or as geometric property. Each of these approaches gives different insights into the wide range and application of the general idea.
For this to work, it is important to be sure that the fundamental properties remain invariant as we transform the problem from one system to another.
Wise Men from the East
Recently, important research in ancient Hindu and Chinese mathematics has uncovered some very different attitudes to "proving" results. Besides making their own original contributions, mathematicians wrote Commentaries on the works of earlier writers to elaborate ideas, to find other ways of achieving results, and of making new and useful applications. It is now clear that other cultures have produced ways of finding "truths" and generalisations quite different from Aristotle's logic.
Indian Mathematics
Many Indian writers who produced original mathematics, also took great pains to write commentaries on their own works and on works of earlier scholars. By the time of Bhaskaracharya (1114-1185) [
see note 18 below
], Indian mathematicians had achieved an understanding of number systems and solution of equations which was well ahead of the Europeans. It is in their commentaries that we find detailed proofs and demonstrations of their results and discussion of appropriate methods. Until recently, much of this was obscured by superficial interpretation and misunderstandings of the cultural context [
see note 19 below
An ancient Indian text, the 'Sulbasutra' (meaning 'Rope-Measuring') shows how to use two different size squares to find the area of a square which is the sum of the two areas.
By discussing this diagram, students were able to justify and extend this method, thus discovering many geometrical properties much earlier than the Greek mathematicians
Chinese Mathematics
The most important classic of Chinese mathematics is T
he Nine Chapters on the Mathematical Art
which was written some time in the 1st century CE. Liu Hui (265-316 CE) wrote an important commentary on this work, and recent research shows us that there are other methods of investigating mathematical ideas other than the commonly accepted proof methods of Euclid. During this period in China, mathematics proceeded as a discussion between master and student who together focussed on the diagram; its appearances and possibilities. This shows that deduction from first principles is not the only model for the discovery and checking of mathematical results. This is a model of mathematical reasoning quite different from that of Euclid, but just as important and fundamental with the aim of generalisation rather than abstraction, and of deeper understanding rather than logical proof.
This right-angled triangle comes from Lui Hui's commentary on the 'Nine Chapters'.
By using some simple geometry students were able to find the area of the triangle and a number of other relations between the lines and the other areas in the diagram. This was done quite independently from the Greek geometers.
For pedagogical notes
Use the notes tab at the top of this article or
click here
The Greek word 'axiom' means an agreed starting point. The word 'postulate' is also used to describe 'what is possible', or what basic ideas can be used.
Proposition 5 used to be called the 'Pons Asinorum' (the Bridge of Asses) because it was once regarded as a test of understanding for the rest of the Elements.
This proof has been criticised because Euclid has no axiom which states that there is a point of intersection when two lines cross.
This is often called the contrapositive argument. i.e. If p implies q, then 'not q' implies 'not p'.
Some mathematicians choose to call 'reductio ad absurdum' orproof by contradiction, but others have decided it is a separate case.
A rational number is any one that can be represented by a fraction, like:
$$\frac{2}{3}\mbox{, }\frac{57}{21}\mbox{ or }\frac{3}{3}$$
Pythagoras (c.569-475 BCE) founded a society which continued well into the 5th century.
In-commensurable means that there is no common measure between two given lengths.In this case, a side of a square and its diagonal cannot be measured exactly in the same units, or fractions of the unit.
In this case, a side of a square and its diagonal cannot be measured exactly in the same units, or fractions of the unit.
See Pedagogical Notes and Questions 1(c)
Another name for these numbers is 'surds'.
For details on Euclid see D.E. Joyce's commentary at weblink EUC
See Netz and Noel (2007) for the most startling recent discoveries about Archimedes.
In this kind of projection, the lengths of lines and the shapes of curves change, but the order in which points are connected, remains the same.The term
refers to properties that remain the same under some kind of transformation.
The original conjecture by Descartes was investigated by Euler in 1758 when attempting to classify polyhedra.
The publication of Lakatos' original thesis in 1961 was a major factor in the development of Investigations in school mathematics.
Iso-morphic means the 'same shape'. Isomorphic crystals of chemicals with similar composition can grow on each another, as often seen in the school science laboratory.
See Robin Wilson's
Four Colours Suffice
(2002). This is the history of the map colouring problem first proposed by a student of Augustus De Morgan in 1852. The first proof in 1976 counted 1,936 different maps, but after re-testing the program and discovering mistakes, by 1994 the number had been reduced to 633. There are still some people who doubt the result.
Known also as Bhaskara II or 'Bhaskhara the Teacher'.
In the early 20th century, Hardy, and others at Cambridge found many of the results of the brilliant Indian mathematician Ramanujan (1887-1920) difficult to understand because the proof methods were unlike anything they had seen before. Even today, mathematicians are still discovering important new results from the work of Ramanujan.
Berggren, J. L. (2003) Episodes in the Mathematics of Mediaeval Islam New York, Berlin. Springer (original 1986)
D'Amore, B. (2005) Secondary school students' mathematical argumentation and Indian Logic (Nyaya).For the Learning of Mathematics 25 (2) July 2005 (26, 32)
Datta, B. ; Singh, A. N.(1935) History of Hindu mathematics, a source book. Lahore,: Motilal Banarsi Das. (Reprinted by Bharatiya Kala Prakashan, Delhi)
Dauben, J.W. (2007) Chinese Mathematics in Katz, V. J. (ed.) Sourcebook (187-384)
Lakatos, I. (1976) (Eds. Worrall, J. and Zahar, E.) Proofs and Refutations: The Logic of Mathematical Discovery London. Cambridge University Press
Kanigel, R. The Man Who Knew Infinity: A Life of the Genius Ramanujan Johns Hopkins Univerity Press
Katz, V. J. (2007) (ed.) The Mathematics of Egypt, Mesopotamia, China, India and Islam: A Sourcebook. Princeton and Oxford. Princeton University Press
Keller, Agathe (2005) Making diagrams speak, in Bhskara I 's commentary of the Aryabhatiya. Historia Mathematica 32: 275-302.
Keller, Olivier. (2006) Une Archeologie de la Geometrie (An Archeology of Geometry) Paris. Vuibert
Martzoff, J-C. (1987) A History of Chinese Mathematics Berlin, New York. Springer
Newton, Isaac. (1745) Sir Isaac Newton's Two Treatises on the Quadrature of Curves, and Analysis by Equations of an infinite Number of Terms explained: London John Stewart
Netz, R. and Noel, W (2007) The Archimedes Codex. London. Weidenfeld & Nicolson
Plofker, K. (2007) Mathematics in India in Katz, V. J., Sourcebook (385-514)
Li Yan and Du Shiran (1987) Chinese Mathematics : A Concise History. John N. Crossley, J.N. and Lun, A.W.C. Oxford. Oxford Science Publications.
Watson, A. and Mason, J. (1998) Questions and Prompts for Mathematical Thinking Derby. Association of Teachers of Mathematics
Wilson, R. (2002) Four Colours Suffice: How the Map Problem was Solved London. Penguin Books
Web Links
Euclid (EUC)
Non-Euclidean Geometry (NEG)
MacTutor has many useful pages on Indian and Chinese mathematicians
For India and China, there are resources on the French website:
. The outstanding scholars here are Agathe Keller for India and Karine Chemla for China. There is very little from these two researchers available in English at the moment.
Snezana Lawrence of Simon Langton School in Kent offers many ideas for teaching mathematics using history on her website:
She has also set up a History section on the NCETM website at:
and then search for the History of Mathematics Community
Manipulating algebraic expressions/formulae
Making and proving conjectures
Patterned numbers
Famous mathematicians
Number theory
Quadratic equations
History of mathematics
Mathematical reasoning & proof
Contact us
Meet the team
Finding us
Our funders
Tech help
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
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NRICH is part of the family of activities in the
Millennium Mathematics Project


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text:
Featured Police Duty Gear Video
How Lock Bumping Works
The first thing you'll need to open a specific lock is the bump key. Understand that not just any bump key will do. A bump key must be made for that specific model and brand of lock. It is not a master key that will open any lock, but rather a key that fits in the lock but will not open it under normal conditions.


text:
Aug 29, 2013 - By Mead Gruver, The Associated PressStudies done over the past two decades have yet to provide data on the effectiveness of various private aircraft contracted by the U.S. Forest Service and U.S. Department of the Interior to fight wildfires in the U.S., a new federal report shows.
The report by the U.S. Government Accountability Office also outlined ongoing challenges to modernizing the nation's aging and dwindling fleet of large air tankers and said the Forest Service sometimes falls short in collaborating with other agencies and private companies on aerial firefighting strategy.
The GAO recommended the agencies collect better data and improve collaboration.
Forest Service officials generally agreed with the report and have started collecting more information to help improve strategy.
"It's not tomorrow that we're going to have all of this worked out," Tom Harbour, the agency's director of fire and aviation management, said Wednesday. "We understand the complexity, but we're working on it."
The Interior Department said in its formal response to the GAO report requested by five U.S. senators that it agreed with the findings and recommendations. Interior contracts for fewer and smaller aircraft and plays a smaller role in aerial firefighting than the Forest Service.
Both agencies arrange contracts to have dozens of private aircraft fight wildfires such as the huge fire burning just outside Yosemite National Park in California.
They include 120 helicopters of various sizes, 16 large air tankers and one very large air tanker contracted by the Forest Service. Interior's firefighting aircraft include 25 small helicopters.
The biggest of the tankers, a converted DC-10 jumbo jet, was used to fight the Fairfield Fire near Sinks Canyon State Park last month.
The biggest role of the planes and choppers is to bomb water or fire-retardant slurry on and near wildfires. The aircraft also carry firefighters, equipment and provisions.
Anticipating where fires are likely to break out, pre-positioning aircraft to respond, and allocating a good mix of different aircraft against several simultaneous fires is a complex challenge face every year by the Forest Service.
Since 1995, nine studies and strategy documents by the Forest Service, U.S. Department of Interior and others have analyzed aerial firefighting in the U.S.
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text:
Stone sculpture, signed and dated "1962"
Height: 17.5" (with base)
(There are traces of red paint on the sides, perhaps a flaw in the stone)
**For other mid-20th Century artwork in our inventory, type "modern" into the search box.
Hovannes, an Armenian, was born in Smyrna (now Izmir), Turkey and initially educated there, probably escaping at the beginning of the Greco-Turkish War (1919-1922)...
"Coyly looking down, Madame Recamier holds a veil across her chest. The sheath both demurely conceals and reveals her breasts...


text:
ColorStay Aqua Mineral Finishing Powder is a loose powder that, strange as it may seem, has a fluid-like texture (hence, the "aqua" portion of the name). Although it looks intriguing, is there any benefit to using such powders over a traditional loose powder? In terms of hydrating skin, no.
Despite the presence of hydrating ingredients, the second ingredient is absorbent, and no amount of hydrating ingredients is going to make this powder feel moisturizing. You'll notice a damp, slight cooling feel as you brush this on, and this gives way to a silky matte finish that's absolutely powder-like because the main ingredient, water, evaporates quickly.
The finely-milled texture leaves a soft, shine-free finish that won't make skin look dry or pasty—though dry skin certainly won't feel smoothed and hydrated. In essence, although this feels different as you apply, the result is similar to almost any other loose powder we recommend.
Three shades are available, and they're best for fair to tan skin. The Translucent option is workable for any skin tone. This powder works well on its own if you prefer a sheer look, or you can dust it over any foundation. The small brush Revlon included is well made and works great for blending, though you may prefer applying this with a regular size powder brush.
Water, Mica, Silica Dimethicone Silylate, Butylene Glycol, Polymethylsilsesquioxane, Boron Nitrate, Lauroyl Lysine, Sodium Chloride, TrimethylsiIoxysilicate, Hydrogen Dimethicone, Cocos Nucifera (Coconut) Water, Viola Tricolor (Heartease) Extract, Sodium Polyacrylate, Potassium Sorbate, Diazolidinyl Urea, Titanium Dioxide, Iron Oxides
Revlon At-A-Glance
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Weaknesses: Average eye and brow pencils; inaccurate claims surrounding their Botafirm complex; mostly average to disappointing mascaras.
It may surprise some of you to know that Revlon has been around since 1932, when the company launched a unique nail polish that used pigments instead of dyes. Lipsticks followed years later, and then a full line of cosmetics, which is how we know Revlon today. Although the company has had its continual share of ups and downs over the years (largely due to out-of-control debt coupled with aggressive spending), the line has recently made numerous improvements, especially in the realms of foundations, powders, eyeshadows, and mascaras. If their goal was to close the competitive gap between themselves and L'Oreal, for the most part they have succeeded. Revlon definitely has the edge for foundations with reliable sunscreens. But despite Revlon's attempt to improve their mascara range, L'Oreal remains the clear winner (as well as L'Oreal-owned Maybelline
Revlon's vast selection of makeup is divided into three main brands: Age Defying for the forty-something and older woman concerned about wrinkles, ColorStay for the teen to mid-thirties woman concerned about keeping oily skin in check and making sure her makeup stays put, and PhotoReady for women of all ages. These brands present some outstanding options and include products for all skin types (although the range of skin tones is not as well-represented here as it is by L'Oreal).
An intriguing fact is that the longevity claims for ColorStay are quite accurate: this collection of products really does offer extraordinary staying power. Conversely, Revlon jumped on the works-like-Botox bandwagon with their Age Defying range, going so far as to name their antiwrinkle complex Botafirm. Is there any confusion about what that term is supposed to relate to? Despite the claims, Botafirm won't reduce expression lines or control the muscles that cause them, though the products themselves do have many impressive qualities.
Note:Revlon is categorized as one that tests on animals because their products are sold in China. Although Revlon may not conduct animal testing for their products sold elsewhere, the Chinese government requires imported cosmetics be tested on animals, so foreign companies retailing there must comply. This requirement is why some brand's state that they don't test on animals "unless required by law". Animal rights organizations consider cosmetic companies retailed in China to be brands that test on animals, and so does the Beautypedia Team.
Suffice it to say, Revlon has more commendable products than ever before, and although they rely heavily on celebrity spokespersons, their best products ably speak for themselves.
For more information about Revlon, call (800) 473-8566 or visit www.revlon.com.
The Beautypedia and Paula's Choice Research teams have one mission: To help you find the best products for your skin, whether they're from Paula's Choice or another brand. By combining efforts, we're able to share scientific research and remain committed to the highest standards based on our decades of experience objectively reviewing thousands upon thousands of skincare and makeup formularies in all price ranges.
Beautypedia cuts through the hype to bring you product insights and recommendations you won't find anywhere else!


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Selected Films
FIKE 2004 - Évora International Short Film Festival
Welcome to the official website of FIKE 2004 - Évora International Short Film Festival!
The fourth edition of FIKE 2004 - Évora International Short Film Festival, was held at Evora University Auditorium from November 19th to 27th 2004.
We received 1446 short films from 77 different countries.
The countries from where we received more shorts are Portugal with 75 films, the United Kingdom with 58, the United States with 46, Spain and Italy, both with 43 films, Germany with 42 and Korea with 39.
Besides the Official Jury, the Festival will present for the first time a Special Jury. The Jury from the International Federation of Film Societies that will choose the Best Short Film to be awarded to the Don Quijote Award, that will guarantee the selection for the International Festival of Film Societies.
To the Official Jury will decide the best in the following categories: Fiction, Documentary, Animation, European Short Film, Super Short (up to 5 minutes running time), on the International Competition; on the National Competition will be awarded: Best Portuguese Short Film and the Best Portuguese Expression Film - awarded with the Camões Institute Award.
The FIKE 2004 program will integrate music concerts everynight after the screenings, the FIKE Nights and the opening session will end with a concert from the Portuguese rock group "Mão Morta".
Make your plans and take Evora as your destination to FIKE 2004 - Évora International Short Film Festival.
To view the films in exhibition at the Festival and the Paralel Events which are taking place, please visit the following links:


text:
"We'll certainly be ready to comply," Microsoft's chief lawyer, Brad Smith, said at a news conference. He said the U.S. software giant had "spent millions of dollars over the past few months" to prepare a version of its ubiquitous operating system that would satisfy EU regulators.
UserAgent: Mozilla/5.0 (Macintosh; U; PPC Mac OS X; en) AppleWebKit/125.5 (KHTML, like Gecko) Safari/125.9


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He's reinvented John Carpenter's Michael Myers horror franchise with a pair of films including this weekend's Halloween II. Now writer-director Rob Zombie is taking a crack at The Blob. The 1958 sci-fi B movie will mark the rocker/filmmaker's first stab at science fiction.
A fast worker, Zombie starts production on the Blob remake next spring, after he writes the script.
The original Blob, featuring Steve McQueen, hails from the golden age of cheeseball sci-fi with its premise about a chunk of goop from outerspace that eats humans.
Zombie intends to change the blob's appearance, he told Variety: "That gigantic, Jell-O-looking thing might have been scary to audiences in the 1950s, but people would laugh now. I have a totally different take, one that's pretty dark."
Before focusing on a new Blob, Zombie will release a new album in November followed by a holiday tour.
Image courtesy Paramount Pictures.
See Also:
- Movies: Rob Zombie Comes Calling With Halloween 2
- Vintage Mexican Sci-Fi Beams a Blast From the Past, con Queso
- Alien Trespass Milks '50s Sci-Fi for Laughs
- Sex Galaxy Recycles Vintage Porn, Sci-Fi for Blue-Green Film
- Star Trek's 10 Cheesiest Classic Creatures


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If your site is intended to generate business, then it must have traffic. In what is called the brick and mortar businesses, traffic is important. If you have a store located on a back street out of sight, you have to find other ways to let people know it is there in order to generate customers. A website that no one can find is like a store building on a back street. No one will see it, and it will get no traffic.
The way that a site becomes seen is by coming up high on search engines. This is the essential element in proper design. The methods that enable a site to have a high search engine ranking are known as SEO. This is search engine optimization. The techniques of search engine optimization are not the kind of things that amateur web designers can master quite as easily as they could create a simple site. They include such things as link building. Link building is the placement of links on other sites that point users back to your site. The number and quality of the links that do point back to your site is one of the most important criteria used by search engines to rank your site.
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The Celtics made just 9-of-34 shots from the field and scored just 25 points in the first half Friday night against Indiana, matching a franchise worst mark for points in a half. Ray Allen return from the flu and scored eight points in the first quarter but none in the second. He was the game's high scorer through 24 minutes.
The second quarter was particularly brutal for the Celtics, as they made just 3-of-18 shots, scoring just 11 points. The first quarter wasn't much better, as Boston made just 5-of-16 shots but managed to finish the opening quarter tied, 14-14.
The Celtics also scored 25 points in the first half on Feb. 8, 1995 and trailed Cleveland, 40-25. But they scored 50 points that night in the second half to come back and win the game, 75-67.
For more, visit the Celtics team page at weei.com/celtics [1].
[1] http://www.weei.com/celtics


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Local Participated in Operation Joint Guardian
Local Participated in Operation Joint Guardian
Army Staff Sgt. Raymond A. Murphy Jr., son of Raymond A. and stepson of Sandra Murphy, has returned to Fort Benning, Columbus, GA., from a six-month deployment to Kosovo, a Serbian province in the Balkans.
The soldier, assigned to the First Battalion, 30th Infantry, participated in Operation Joint Guardian. The operation is a multinational peacekeeping mission that provides a safe and secure environment for the people of Kosovo.
Each of the returning soldiers was awarded the Kosovo Campaign Medal and the NATO (North Atlantic Treaty Organization) Medal. The medals are awarded to individuals who have participated or served in support of one or more of the eight military operations and task forces in Kosovo and bordering and surrounding Balkan countries. They also must have served under NATO command of operational control in direct support of NATO operations in the Former Republic of Yugoslavia or Adriatic Sea since 1992.
During Operation Joint Guardian, the soldiers' mission was to conduct patrols along the Macedonian and Serbian borders to prevent illegal crossings and smuggling activities into Kosovo. They also patrol towns and villages to observe and prevent ethnic violence between Kosovar Serbs and Albanians, and conduct check point and cordon searches to seize illegal weapons caches.
Murphy is a unit supply sergeant assigned to the Alpha Company.


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Could the Next Generation Be AIDS-Free?
Daniel Townsend | Posted 03.31.2013 | Canada Impact
Read More: Unaids, Aids Free, HIV/AIDS, HIV Prevention Trails Network, Aids, World AIDS Day, United Nations, Video, Canada Impact News
The theme for World AIDS Day over the next three years will be "Getting to Zero: Zero new infections, Zero discrimination and Zero AIDS related deaths." This message is powerful, however if we are serious about making this a reality, then we need to start purposively tackling the challenges that have hindered our progress so far.