Tuple

A tuple is a finite ordered list of elements. In mathematics, an n-tuple is a sequence (or ordered list) of n elements, where n is a non-negative integer. There is only one 0-tuple, an empty sequence. An n-tuple is defined inductively using the construction of an ordered pair. Tuples are usually written by listing the elements within parentheses "" and separated by commas; for example, denotes a 5-tuple. Sometimes other symbols are used to surround the elements, such as square brackets "[ ]" or angle brackets "< >". Braces "{ }" are never used for tuples, as they are the standard notation for sets. Tuples are often used to describe other mathematical objects, such as vectors. In computer science, tuples are directly implemented as product types in most functional programming languages. More commonly, they are implemented as record types, where the components are labeled instead of being identified by position alone. This approach is also used in relational algebra. Tuples are also used in relation to programming the semantic web with Resource Description Framework or RDF. Tuples are also used in linguistics and philosophy.

Mathematics

Mathematics (from Greek μάθημα máthēma, “knowledge, study, learning”) is the study of topics such as quantity (numbers),structure,space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics.

Mathematicians seek out patterns and use them to formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity for as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.

Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day.

Mathematics (producer)

Mathematics, also known as Allah Mathematics, (born: Ronald Maurice Bean) is a hip hop producer and DJ for the Wu-Tang Clan and its solo and affiliate projects.

Biography

Born and raised in Jamaica, Queens, New York, Mathematics was introduced to hip hop by his brother who used to bring home recordings of the genre's pioneers like Grandmaster Flash & The Furious Five, Treacherous Three and Cold Crush Brothers. He began his career in 1987 DJing block parties and park jams in Baisley Projects, going by the name Supreme Cut Master. In 1988, he became the full-time DJ for experienced rapper Victor C, doing countless shows in clubs and colleges in New York City.

In 1990, Mathematics linked up with GZA/Genius; he soon became one of the Wu-Tang Clan's founding members, but at the time GZA was struggling to build a career on the Cold Chillin' label. This partnership earned Mathematics a spot on his first official tour, The Cold Chillin Blizzard Tour (with popular acts such as Biz Markie, Big Daddy Kane, Kool G. Rap & DJ Polo and Marley Marl).

Mathematics (disambiguation)

Mathematics is the body of knowledge justified by deductive reasoning about abstract structures, starting from axioms and definitions.

Mathematics may also refer to

People

Art, entertainment, and media

Music

Periodicals

Computing and technology

See also

& (disambiguation)

&, or ampersand, is a typographic symbol.

& may also refer to:

Single (cricket)

In the sport of cricket, a single is scored when the batsman take one run, either following a successful shot (with the run attributed to the on-strike batsman) or when running for a bye or leg bye (counted as an extra).

Unlike when a boundary is hit (and the run are scored even if the batsmen don't leave their creases), scoring a single requires the batsmen to physically run between the wickets. This introduces the risk of being run out, so effective communication between the batsmen is vital. If one batsman attempts to run and the other stays put, then a humiliating run out is likely, but quick and well attuned batsmen may be able to run "quick singles" when other batsmen wouldn't. In general, singles are much easier to score when the field is set further out, but bringing more fielders in makes it easier for the on-strike batsman to hit boundaries.

Singles usually rotate the strike in a partnership, but because the bowling end changes at the end of an over, singles deliberately only taken at the end of an over are used by quality batsmen to keep the strike when they are batting with the tail-enders, who are unlikely to survive for long against quality bowling and whom an experienced batsman will normally try to protect.

Single (football)

In Canadian football, a single (single point, or rouge), scoring one point, is awarded when the ball is kicked into the end zone by any legal means, other than a successful field goal, and the receiving team does not return, or kick, the ball out of its end zone. It is also a single if the kick travels through the end zone or goes out of bounds in the end zone without being touched, except on a kickoff. After conceding a single, the receiving team is awarded possession of the ball at the 35-yard line of its own end of the field.

Singles are not awarded in the following situations:

In all these cases the defending team is awarded possession of the ball at the 25-yard line.

In the United States, singles are not usually recognized in most leagues and are awarded only in matches played under the auspices of the National Indoor Football League (formerly United Indoor Football) and the now-defunct American Indoor Football Association. It is applied only on kickoffs in both leagues, and is scored if the receiving team fails to advance the ball out of the end zone when kicked. The NIFL also allowed a single to be scored by kicking a kickoff through the uprights (as in a field goal); this type of single is nicknamed (and has since been codified in the NIFL rules as) an uno, from the Spanish word for the number one. At one point, the Philadelphia Public League (the public high school football sanctioning body in Philadelphia, Pennsylvania) awarded three points for kicking a kickoff through the uprights.