Definition

A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories, intensional definitions (which try to give the essence of a term) and extensional definitions (which list every single object that a term describes). A term may have many different senses and multiple meanings, and thus require multiple definitions.

In mathematics, a definition is used to give a precise meaning to a new term, instead of describing a pre-existing term. Definitions and axioms are the basis on which all of mathematics is constructed.

Intensional definitions vs extensional definitions

An Intensional definition, also called a connotative definition, specifies the necessary and sufficient conditions for a thing being a member of a specific set. Any definition that attempts to set out the essence of something, such as that by genus and differentia, is an intensional definition.

An extensional definition, also called a denotative definition, of a concept or term specifies its extension. It is a list naming every object that is a member of a specific set.

Ronan Parke

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Ronan Parke (born 8 August 1998) is an English singer from Poringland, Norfolk, UK who came runner-up in the fifth series of ITV show Britain's Got Talent, despite being the bookies' favourite to win. After the show it was reported that Ronan had signed a joint record deal with Sony Music. He released his debut album Ronan Parke on 24 October 2011. On 3 May 2012, Parke, Epic records, and Syco ceased working together after the one album.

Early and personal life

Parke was born to Maggie and Trevor Parke in Poringland, a village in Norfolk. He has an older brother, Declan. His family are close to the family of ex-Norwich City player Bryan Gunn, whose daughter helped Ronan put in his application form for Britain's Got Talent. Ronan had been taking singing lessons in his home town before getting the confidence to apply for the show.

Ronan attended Framingham Earl High School, Norfolk.

Skipping rope

Skipping rope (British English) or jump rope (American English) is the primary tool used in the activity of skipping played by children and many young adults, where one or more participants jump over a rope swung so that it passes under their feet and over their heads. This may consist of one participant turning and jumping the rope, or a minimum of three participants taking turns, two of whom turn the rope while one or more jumps. This is called long rope. Sometimes the latter is played with two turning ropes; this form of the activity is called Double Dutch and is more difficult. Jump-rope rhymes are often chanted beginning when the skipper jumps in and ending when the skipper messes up.

Jumping rope techniques

Some of the techniques that can be used when jumping rope are:

Multiple unders (when the rope passes under the feet multiple times in the air), strength or inversion/displacement, which consists of tricks utilizing a jumper's strength such as the frog/donkey kick, and rope manipulations, when one or both of the handles are released and caught, when jumpers cross the rope over their body, or when they wrap it around one of their limbs. Crosses, side swings, EB jumps, toads, and inverse toads are all examples of rope manipulations. In Canada, and some other countries footwork, such as can cans, scissors, and jumping jack are required elements. Required elements and their classification varies depending on judging system and country in which the tournament is held.

Audi

Audi AG (pronounced [ˈʔaʊ̯dɪ ʔaːˈgeː]) is a German automobile manufacturer that designs, engineers, produces, markets and distributes luxury automobiles. Audi oversees worldwide operations from its headquarters in Ingolstadt, Bavaria, Germany. Audi-branded vehicles are produced in nine production facilities worldwide.

The origins of the company are complex, going back to the early 20th century and the initial enterprises (Horch and the Audiwerke) founded by engineer August Horch; and two other manufacturers (DKW and Wanderer), leading to the foundation of Auto Union in 1932. The modern era of Audi essentially began in the 1960s when Auto Union was acquired by Volkswagen from Daimler-Benz. After relaunching the Audi brand with the 1965 introduction of the Audi F103 series, Volkswagen merged Auto Union with NSU Motorenwerke in 1969, thus creating the present day form of the company.

The company name is based on the Latin translation of the surname of the founder, August Horch. "Horch", meaning "listen" in German, becomes "audi" in Latin. The four rings of the Audi logo each represent one of four car companies that banded together to create Audi's predecessor company, Auto Union. Audi's slogan is Vorsprung durch Technik, meaning "Advancement through Technology". However, since 2007 Audi USA has used the slogan "Truth in Engineering". Audi is among the best-selling luxury automobiles in the world.