Tuesday, June 23, 2009

Why do birds fly in a V formation?

< http://www.aerospaceweb.org/question/nature/q0237.shtml >

Scientists who have studied formation flight believe that birds fly in this way for two reasons. The first reason is that the shape of the formation reduces the drag force that each bird experiences compared to if it were flying alone...

teamwork

Even though the V formation benefits all of the birds, the bird in the lead position has to work the hardest. When this bird tires, it will drop out of the lead position and fall further back into one of the lines of the V. Another bird from further back will rapidly move forward to take the leading position and maintain the formation. The two birds in the furthest trailing positions also tire more rapidly than those in the middle, so these positions are also rotated frequently to spread the most fatiguing locations throughout the flock. This cyclical rearrangement gives all birds the responsibility of being the leader as well as a chance to enjoy the maximum benefits of being in the middle of the formation. This sense of teamwork comes naturally since even the youngest members of the flock rapidly realize that it takes less work to fly in a V formation than it does to fly alone.

communicate more easily

A second reason that may explain why birds fly in formation is that this orientation allows the birds to communicate more easily. The V formation provides the birds with good visual contact of each other to keep the flock together. This communication minimizes the possibility of losing birds along the way as the formation crosses vast distances during migration.

...

However, military planes do still operate in V formations, but they are typically spaced too far apart to enjoy the benefits of reduced drag. These aircraft instead fly in formation primarily to maintain visibility of all the aircraft in the squadron in the same way that birds do.

A nice book with further information on how birds and insects fly is Nature's Flyers: Birds, Insects, and the Biomechanics of Flight by Steven Vogel.
- answer by Jeff Scott, 17 July 2005


joke on "At least one"

At Least One
< http://mathworld.wolfram.com/AtLeastOne.html >

"At least one" is a mathematical term meaning one or more. It is commonly used in situations where existence can be established but it is not known how to determine the total number of solutions.

One of the three jokes known to Christopher, the protagonist in the novel The Curious Incident of the Dog in the Night-Time, concerns the preciseness with which mathematicians apply the term "at least one." As told by Christopher (Haddon 2003, p. 142), the joke runs as follows. "There are three men on a train. One of them is an economist and one of them is a logician and one of them is a mathematician. And they have just crossed the border into Scotland (I don't know why they are going to Scotland) and they see a brown cow standing in a field from the window of the train (and the cow is standing parallel to the train). And the economist says, 'Look, the cows in Scotland are brown.' And the logician says, 'No. There are cows in Scotland of which at least one is brown.' And the mathematician says, 'No. There is at least one cow in Scotland, of which one side appears to be brown.' And this is funny because economists are not real scientists and because logicians think more clearly, but mathematicians are best."

Great Math Web Sites

Friday, June 19, 2009

Taiwan's NGC




http://www.ngc.com.tw/event/tttw/

Friday, June 12, 2009

Did the "impossible!"

Did the "impossible!"

Posted using ShareThis

Growing Ranks of Encore Teachers Give Schools a Boost

Posted 05/13/2009 - 4:44pm by Terry Nagel

http://www.encore.org/news/prepare/teacher-trainings-hit-bo


"...

The EnCorps Teachers initiative expects to place more than 150 new math and science teachers in California classrooms during the 2009-10 school year. EnCorps has received more than 1,000 inquiries in the past three months.

“We are targeting boomers and retirees,” says Jennifer Anastasoff, CEO of EnCorps, which was launched in 2007 by California Gov. Arnold Schwarzenegger and Sherry Lansing, former chair of Paramount Pictures. “There are programs like Teach for America for new graduates, The New Teacher Project for midcareer folks, and alternative certification programs bubbling up around the country, but nothing that brings it all together for retirees the way that EnCorps strives to.”

EnCorps is hosting an open house in Los Angeles on June 5. Anastasoff says would-be teachers can start as volunteers to refamiliarize themselves with the classroom, try substitute teaching or jump right into the program, which can fast-track them into the classroom in six to nine months.

Another route into the classroom is the nonprofit Citizen Schools, which places “Citizen Teachers” in 10-week apprenticeships in public middle-school classrooms. It serves 4,400 youths at 44 sites in seven states with 3,500 volunteers, 120 paid fellows and 230 paid team leaders.

The organization is seeing twice as much interest in its paid positions this year, compared to last year, says Emily McCann, president of the organization. Many of the candidates are career-switchers seeking to transition from the corporate world, she says. “And we’re just starting to recruit for next year, so we’ll probably get a lot more.” It didn’t hurt when the White House cited Citizen Schools as an example of “innovative, promising ideas that are transforming communities.”

Teaching, as well as working with children and youth, were near the top of the list of most desired encore careers in last year’s MetLife Foundation/Civic Ventures Encore Career Survey. Another survey, Teaching as a Second Career, found that 42 percent of college-educated Americans aged 24 to 60 would consider becoming a teacher..."