Nucleus (pl: nuclei) is a Latin word for the seed inside a fruit. It may refer to:
A syllable is a unit of organization for a sequence of speech sounds. For example, the word water is composed of two syllables: wa and ter. A syllable is typically made up of a syllable nucleus (most often a vowel) with optional initial and final margins (typically, consonants).
Syllables are often considered the phonological "building blocks" of words. They can influence the rhythm of a language, its prosody, its poetic meter and its stress patterns.
Syllabic writing began several hundred years before the first letters. The earliest recorded syllables are on tablets written around 2800 BC in the Sumerian city of Ur. This shift from pictograms to syllables has been called "the most important advance in the history of writing".
A word that consists of a single syllable (like English dog) is called a monosyllable (and is said to be monosyllabic). Similar terms include disyllable (and disyllabic) for a word of two syllables; trisyllable (and trisyllabic) for a word of three syllables; and polysyllable (and polysyllabic), which may refer either to a word of more than three syllables or to any word of more than one syllable.
In abstract algebra, the term associator is used in different ways as a measure of the nonassociativity of an algebraic structure.
For a nonassociative ring or algebra , the associator is the multilinear map
given by
Just as the commutator measures the degree of noncommutativity, the associator measures the degree of nonassociativity of .
It is identically zero for an associative ring or algebra.
The associator in any ring obeys the identity
The associator is alternating precisely when is an alternative ring.
The associator is symmetric in its two rightmost arguments when is a pre-Lie algebra.
The nucleus is the set of elements that associate with all others: that is, the n in R such that
It turns out that any two of being
implies that the third is also the zero set.
A quasigroup Q is a set with a binary operation such that for each a,b in Q,
the equations
and
have unique solutions x,y in Q. In a quasigroup Q, the
associator is the map
defined by the equation
ASAP may refer to: As Soon As Possible.
ASAP was a band created by guitarist and vocalist Adrian Smith of Iron Maiden fame. ASAP released an album in 1989 entitled Silver and Gold. A.S.A.P. stands for "Adrian Smith and Project", and the full name of the band is incorporated within the band logo, with each word written in tiny font underneath the corresponding letter in the abbreviation.
Adrian Smith formed the band in 1989 when Iron Maiden was taking a year break after spending almost a year on the road for the Seventh Son of a Seventh Son album tour in 1988. The band had its origin in Urchin, a band Smith fronted in the 1970s. Andy Barnett, Dave Colwell and Richard Young played with Smith in various incarnations of Urchin, which was disbanded in 1981 when Smith joined Iron Maiden.
Further foundations for the band were laid out in late 1985 when Iron Maiden were taking a break after their massive world tour in support of their album Powerslave. Bored with the lull in band's activity as they prepared to record a new album, Adrian Smith and Nicko McBrain started playing on their own to pass the time, and they soon formed a full band which included Colwell and Barnett. Along with some other musicians they knew, they went to play a one-off gig at London's Marquee Club under the name of "The Entire Population of Hackney". At the show, the band performed mostly original material, including the songs "Silver And Gold" (which would later become the title track of their only album, "Fighting Man", "School Days" and "When She's Gone" (all of which would later be recorded by ASAP and released as B-sides to its singles) at the show, as well as three songs that would later be recorded by Iron Maiden ("Juanita", "Reach Out" and "That Girl").
"ASAP" is a pop / R&B song performed by former Australian pop group Bardot, and was the first single from their second album Play It Like That (2001).
The fast tempo R&B track is about a partner's interfering mother. "ASAP" was Bardot's second single in the UK.
Australian CD single
UK CD single