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.

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.

Hair

Hair is a protein filament that grows from follicles found in the dermis, or skin. Hair is one of the defining characteristics of mammals. The human body, apart from areas of glabrous skin, is covered in follicles which produce thick terminal and fine vellus hair. Most common interest in hair is focused on hair growth, hair types and hair care, but hair is also an important biomaterial primarily composed of protein, notably keratin. Attitudes towards hair, such as hairstyles and hair removal, vary widely across different cultures and historical periods, but it is often used to indicate a person's personal beliefs or social position, such as their age, gender, or religion.

Overview

The word "hair" usually refers to two distinct structures: