In graph drawing, the area used by a drawing is a commonly used way of measuring its quality.
For a drawing style in which the vertices are placed on the integer lattice, the area of the drawing may be defined as the area of the smallest axis-aligned bounding box of the drawing: that is, it the product of the largest difference in x-coordinates of two vertices with the largest difference in y-coordinates. For other drawing styles, in which vertices are placed more freely, the drawing may be scaled so that the closest pair of vertices have distance one from each other, after which the area can again be defined as the area of a smallest bounding box of a drawing. Alternatively, the area can be defined as the area of the convex hull of the drawing, again after appropriate scaling.
For straight-line drawings of planar graphs with n vertices, the optimal worst-case bound on the area of a drawing is Θ(n2). The nested triangles graph requires this much area no matter how it is embedded, and several methods are known that can draw planar graphs with at most quadratic area.Binary trees, and trees of bounded degree more generally, have drawings with linear or near-linear area, depending on the drawing style. Every outerplanar graph has a straight-line outerplanar drawing with area subquadratic in its number of vertices, If bends or crossings are allowed, then outerplanar graphs have drawings with near-linear area. However, drawing series-parallel graphs requires an area larger than n by a superpolylogarithmic factor, even if edges can be drawn as polylines.
Area - International POPular Group, most commonly known as Area or AreA, is an Italian progressive rock, jazz fusion, electronic, experimental group formed in 1972 by singer Demetrio Stratos and drummer Giulio Capiozzo. They are considered one of the most respected and important bands of the blooming 1970s Italian progressive rock scene.
Area were formed in Milan in 1972. Originally composed of Demetrio Stratos, Giulio Capiozzo (drums and percussion), Victor Edouard "Eddie" Busnello (saxophone and flutes), Leandro Gaetano (piano), and Johnny Lambizzi (guitar), soon followed by Patrick Djivas (bass) and Patrizio Fariselli (keyboards and piano). The band was led by Demetrio Stratos, an original and talented singer originally from Greece. In 1973, Johnny Lambizzi left the band and was replaced by Paolo Tofani (guitar and synth). In that year, they recorded their first studio album Arbeit macht frei ("Work Brings Freedom"), taken from the inscription that was found on the gate at the entrance to Auschwitz Nazi concentration camp, was released by Cramps Records and the band performed in many musical and cultural events. Area went on tour in Chile and, representing Italy, they took part in the eighth Biennale de Paris. At that time, Area's sound was an odd mish-mash that drew from rock, jazz, Eastern, and Arabic music, and it was the blending of all sorts of music that made the band stand out. The band soon grew to prominence because the youth of the time were able to identify with Area's socialist lyrics, and the band was founded on a strong and virtuosic musicianship. To aficionados of Italian progressive rock, their debut album Arbeit macht frei is considered a classic.
MIX, often branded on-air as Today's Mix, was a channel on XM Satellite Radio playing the Hot Adult Contemporary format. It was located on XM 12 (previously 22) and plays a mix of hit songs from 1980-present day, except for urban music. MIX was one of 5 channels on XM's platform that plays commercial advertisements, which amount to about 3–4 minutes an hour, and are sold by Premiere Radio Networks. The channel was programmed by Clear Channel Communications, and was Clear Channel's most listened to channel on XM Radio, in both cume and AQH, according to the Fall 2007 Arbitron book.
Artists heard on MIX included Sheryl Crow, John Mayer, Lenny Kravitz, Jewel and Nelly Furtado; and groups like Maroon 5 and Blues Traveler. One can also hear top chart hits including songs from Train, Alanis Morissette, 3 Doors Down, Evanescence, Dave Matthews Band, No Doubt, Santana, Matchbox Twenty, and U2.
On June 8, 2011, this was replaced by a simulcast by WHTZ, licensed to Newark, New Jersey and serving the New York City area.
KMXV ("Mix 93.3") is a Top 40 (CHR) station based in Kansas City, Missouri, United States. The Steel City Media outlet operates at 93.3 MHz with an ERP of 100 kW. Its current slogan is "Kansas City's #1 Hit Music Station". It is also one of two Top 40's competing in the Kansas City Metropolitan Area, the other being KCHZ. The station's studios are located at Westport Center in Midtown Kansas City, and the transmitter site is in the city's East Side.
The station was sold off by CBS Radio to Wilks Broadcasting in November 2006 as part of a nationwide reduction of radio stations by CBS. On June 12, 2014, Wilks announced that it is selling its Kansas City cluster (of which KMXV is part of) to Pittsburgh-based Steel City Media. The sale was approved on September 26, 2014, and was consummated on September 30.
The station began in 1958 as KCMK-FM (Kansas City, Missouri/Kansas), a classical station, but had several format changes (primarily country) over the next sixteen years. County DJ Jack Wesley "Cactus Jack" Call was at the station (from KCKN) for one week when he was killed on January 25, 1963 in a car crash. Singer Patsy Cline sang at a benefit for him at Memorial Hall (Kansas City, Kansas) on March 3, 1963. She was unable to leave Kansas City the next day because the airport was fogged in and was killed in a plane crash on March 5, 1963 en route from Fairfax Airport to Nashville.
MIX is a Microsoft conference held annually for web developers and designers at which Microsoft showcases upcoming web technologies. The conference is held each spring at the Venetian Hotel in Las Vegas. Unlike many of Microsoft's technical conference, MIX has been promoted more heavily to designers by inviting popular speakers from other popular web design conferences, such as SXSW, and has sponsored a CSS design contest each year to promote the conference. Microsoft has also used this conference as an opportunity to promote new web design and development tools such as Silverlight and Microsoft Expression Studio.
On January 24, 2012, the official Microsoft blog stated that there will be no MIX 2012. MIX was replaced by BUILD later that year.
MIX 06 was held from March 20 to March 22, 2006. It focused on the new Internet Explorer 7 and WPF (a part called WPF/E later became known as Silverlight). It featured a keynote by Bill Gates in which he said "We need microformats".
Brian Wayne Transeau (born October 4, 1970), better known by his stage name BT, is an American music producer, composer, technologist, audio technician, multi-instrumentalist, singer, and songwriter. An artist in the electronica music genre, he is credited as a pioneer of the trance and intelligent dance music styles that paved the way for EDM, and for "stretching electronic music to its technical breaking point." He also creates music within many other styles, such as classical, film composition and bass music.
BT is also known for pioneering the stutter edit. This production technique consists of taking a small fragment of sound and repeating it rhythmically. BT was entered into the Guinness Book of World Records for his song "Somnambulist (Simply Being Loved)", recognized as using the largest number of vocal edits in a song (6,178 edits). BT's work with stutter edit techniques led to the formation of software development company Sonik Architects, developer of the sound-processing software plug-ins Stutter Edit and BreakTweaker, and the live audio and visual remix app called Sonifi.