In mathematics, a partition of an interval [a, b] on the real line is a finite sequence x = ( xi ) of real numbers such that
In other terms, a partition of a compact interval I is a strictly increasing sequence of numbers (belonging to the interval I itself) starting from the initial point of I and arriving at the final point of I.
Every interval of the form [xi, xi+1] is referred to as a sub-interval of the partition x.
Another partition of the given interval, Q, is defined as a refinement of the partition, P, when it contains all the points of P and possibly some other points as well; the partition Q is said to be “finer” than P. Given two partitions, P and Q, one can always form their common refinement, denoted P ∨ Q, which consists of all the points of P and Q, re-numbered in order.
The norm (or mesh) of the partition
is the length of the longest of these subintervals, that is
Partitions are used in the theory of the Riemann integral, the Riemann–Stieltjes integral and the regulated integral. Specifically, as finer partitions of a given interval are considered, their mesh approaches zero and the Riemann sum based on a given partition approaches the Riemann integral.
In cryptography, MESH is a block cipher designed in 2002 by Jorge Nakahara, Jr., Vincent Rijmen, Bart Preneel, and Joos Vandewalle. MESH is based directly on IDEA and uses the same basic operations.
MESH is actually a family of 3 variant ciphers with block sizes of 64, 96, and 128 bits. The key size is twice the block size. The number of rounds is 8.5, 10.5, or 12.5, depending on the block size. The algorithm uses a Lai-Massey scheme based on IDEA's, but with a larger round structure, or "MA-box". MESH also has a more complex key schedule than IDEA, intended to prevent weak keys and other insecure patterns in subkeys.
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Mesh-29 were an English indie rock band from Whittlesey, Peterborough, United Kingdom. The band formed in 1999 and consisted of Adam Mezzatesta on lead vocals and guitar and Anthony Shiels on the piano.
Mesh-29 entered the UK top 40 chart with their single Over The Barricade, reaching number 35 in the singles chart on 8 July 2007; only the second unsigned band in history of the UK charts to achieve such a result.
The band played their last ever gig on October 9, 2010.
On 2 July 2007, Mesh-29 released their single Over The Barricade, which reached number 35 in the UK singles chart. The band supported Scouting for Girls and Air Traffic amongst others. On 30 August 2007, they were interviewed (and played three live tracks) on the Janice Long show on BBC Radio 2.
The album closer, Alone, was used on the soundtrack to the MTV series The Hills.
Their second album Secret Traffic was released in the UK in October 2008 after their promotion single White Light was released on 13 October.
"Dreams" is a song written by singer Stevie Nicks, for the group Fleetwood Mac's 1977 album, Rumours. It is the only U.S. No. 1 hit for the group where it sold over a million copies, and remains one of their best known songs.
The members of Fleetwood Mac were experiencing emotional upheavals while recording Rumours. Drummer Mick Fleetwood was going through a divorce. Bassist John McVie was separating from his wife, keyboardist Christine McVie. Guitarist Lindsey Buckingham and lead singer Stevie Nicks were ending their eight-year relationship. "We had to go through this elaborate exercise of denial," explained Buckingham to Blender magazine, "keeping our personal feelings in one corner of the room while trying to be professional in the other."
Nicks wrote the song at the Record Plant studio in Sausalito, California, in early 1976. "One day when I wasn't required in the main studio," remembers singer Stevie Nicks to Blender, "I took a Fender Rhodes piano and went into another studio that was said to belong to Sly, of Sly & the Family Stone. It was a black-and-red room, with a sunken pit in the middle where there was a piano, and a big black-velvet bed with Victorian drapes."
Dreams is the nineteenth album by Klaus Schulze. It was released in 1986, and in 2005 was the third Schulze album reissued by Revisited Records. The reissue bonus track was released early 2004 in Hambühren as a limited promo CD Ion.
All tracks composed by Klaus Schulze.
Dreams is the thirty-first studio album by Neil Diamond. It was produced by Diamond and released by Columbia Records in 2010. The album contains cover versions of popular songs that Diamond claims in the liner notes are among his favorites. Among them is "I'm a Believer", which he wrote for The Monkees back in 1966.Dreams ranked at number eight on the Billboard 200 chart.
The People's Action Party "Hope" (Ukrainian: Партія Народної Дії «НАДІЯ») was founded on 18 March 2005, and has a presence in 27 regions and 525 districts of Ukraine. It is headed by Sergei Selifontiev, who created the "light parliamentary movement" in contrast to what he felt was a shady parliament of the day. On the day of its inception, 1,200,000 citizens of Ukraine joined the party.