Rolling-element bearing

A rolling-element bearing, also known as a rolling bearing, is a bearing which carries a load by placing rolling elements (such as balls or rollers) between two bearing rings called races. The relative motion of the races causes the rolling elements to roll with very little rolling resistance and with little sliding.

One of the earliest and best-known rolling-element bearings are sets of logs laid on the ground with a large stone block on top. As the stone is pulled, the logs roll along the ground with little sliding friction. As each log comes out the back, it is moved to the front where the block then rolls on to it. It is possible to imitate such a bearing by placing several pens or pencils on a table and placing an item on top of them. See "bearings" for more on the historical development of bearings.

A rolling element rotary bearing uses a shaft in a much larger hole, and cylinders called "rollers" tightly fill the space between the shaft and hole. As the shaft turns, each roller acts as the logs in the above example. However, since the bearing is round, the rollers never fall out from under the load.

Cage (graph theory)

In the mathematical area of graph theory, a cage is a regular graph that has as few vertices as possible for its girth.

Formally, an (r,g)-graph is defined to be a graph in which each vertex has exactly r neighbors, and in which the shortest cycle has length exactly g. It is known that an (r,g)-graph exists for any combination of r ≥ 2 and g ≥ 3. An (r,g)-cage is an (r,g)-graph with the fewest possible number of vertices, among all (r,g)-graphs.

If a Moore graph exists with degree r and girth g, it must be a cage. Moreover, the bounds on the sizes of Moore graphs generalize to cages: any cage with odd girth g must have at least

vertices, and any cage with even girth g must have at least

vertices. Any (r,g)-graph with exactly this many vertices is by definition a Moore graph and therefore automatically a cage.

There may exist multiple cages for a given combination of r and g. For instance there are three nonisomorphic (3,10)-cages, each with 70 vertices : the Balaban 10-cage, the Harries graph and the Harries–Wong graph. But there is only one (3,11)-cage : the Balaban 11-cage (with 112 vertices).

The Cage (ballet)

The Cage is a ballet made by New York City Ballet ballet master Jerome Robbins to Stravinsky's Concerto in D for string orchestra, also known as the "Basel Concerto", which he was commissioned to compose on the twentieth anniversary of the chamber orchestra Basler Kammerorchester; it notably shifts between D major and minor. The premiere took place on Sunday, 10 June 1951 at the City Center of Music and Drama, New York, with décor by Jean Rosenthal, costumes by Ruth Sobatka and lighting by Jennifer Tipton. It was danced as part of City Ballet's 1982 Stravinsky Centennial Celebration.

Cast

original

Notes

References

Reviews

External links

Popstar!

Popstar! Magazine is a worldwide released teen magazine featuring news stories on celebrities.

History

Popstar! Magazine is a nationally recognized teen-entertainment magazine for kids ages 10 to 16. It was founded by editor in chief Matthew Rettenmund and was first published on October 15, 1998, with the then-new boy band 98 Degrees on its inaugural cover. Popstar! was the first U.S. teen-entertainment title to be published in full color and on glossy paper throughout. In a September 1, 2004, article in Folio magazine, media critic Simon Dumenco wrote, "Popstar!, in short, created a new blueprint for the teen celebrity magazine market," arguing that its design and approach influenced Bonnie Fuller and the tidal wave of celebrity tabloids of the early 2000s. The magazine has expanded to include fashion and beauty elements, albeit with a very celebrity-oriented twist. As of 2011, Popstar! was the oldest continuously published teen-entertainment title in America.

Popstar! is known for its interaction with readers via social media. As of February 2015, Popstar had over 330 million views on YouTube, 2 million Facebook likes, and 445,000 Twitter followers. Popstar's Editor-in-Chief Colleen Broomall often appears on syndicated radio and television shows as a pop culture expert.

Pop music

Pop music (a term that derives from "popular") is a genre of popular music that originated in its modern form in the Western world during the 1950s and 1960s, deriving from rock and roll. The terms "popular music" and "pop music" are often used interchangeably, although the former describes all music that is popular (and can include any style).

Pop music is eclectic, and often borrows elements from other styles such as urban, dance, rock, Latin, and country; nonetheless, there are core elements that define pop music. Identifying factors include generally short to medium-length songs written in a basic format (often the verse-chorus structure) as well as the common employment of repeated choruses, melodic tunes, and hooks.

Definitions

David Hatch and Stephen Millward define pop music as "a body of music which is distinguishable from popular, jazz, and folk musics". According to Pete Seeger, pop music is "professional music which draws upon both folk music and fine arts music". Although pop music is seen as just the singles charts, it is not the sum of all chart music. The music charts contain songs from a variety of sources, including classical, jazz, rock, and novelty songs. Pop music, as a genre, is seen as existing and developing separately. Thus "pop music" may be used to describe a distinct genre, aimed at a youth market, often characterized as a softer alternative to rock and roll.

Popstar (film)

Popstar is an American film that features teen singer Aaron Carter in his only lead role in a feature film. The direct-to-video film was directed by Richard Gabai and written by Timothy Barton; the film was released on November 8, 2005. The premiere was held in The Woodlands, Texas. It was filmed in Calabasas, California, at A.C. Stelle Middle School and the Commons.

Plot

Jane Brighton [Alana Austin] is a high school math whiz obsessed with J.D. McQueen [Aaron Carter], a teen music sensation whose parents have sent him back to public high school to improve his declining grades. J.D. risks missing a critical summer tour that could ruin his musical career. To get help with math, he builds a relationship with Jane.

Cast