Arity

In logic, mathematics, and computer science, the arity ⁱ/ˈærᵻti/ of a function or operation is the number of arguments or operands that the function takes. The arity of a relation (or predicate) is the dimension of the domain in the corresponding Cartesian product. (A function of arity n thus has arity n+1 considered as a relation.) The term springs from words like unary, binary, ternary, etc. Unary functions or predicates may be also called "monadic"; similarly, binary functions may be called "dyadic".

In mathematics arity may also be named rank, but this word can have many other meanings in mathematics. In logic and philosophy, arity is also called adicity and degree. In linguistics, arity is usually named valency.

In computer programming, there is often a syntactical distinction between operators and functions; syntactical operators usually have arity 0, 1, or 2. Functions vary widely in the number of arguments, though large numbers can become unwieldy. Some programming languages also offer support for variadic functions, i.e., functions syntactically accepting a variable number of arguments.

Sarah Connor (singer)

Sarah Terenzi (born as Sarah Marianne Corina Lewe on June 13, 1980), better known by her stage name Sarah Connor, is a German singer, songwriter, and television personality. Connor debuted in 2001 under the guidance of artist manager George Glueck and became the first solo act to ever have four consecutive chart-topping hits on the German Singles Chart. Following success in mainland Europe with her single "From Sarah with Love" and her debut album Green Eyed Soul, a series of hit records established her position as the most successful German pop female vocalists to emerge in the 2000s with sales in excess of over 15 million copies worldwide. Her seventh studio album Real Love, was released in October 2010, amid her engagement as judge on the German reality television show X Factor. Her first German album Muttersprache released on May 22, 2015 debuted on the top of the German and Swiss Albums Chart.

Awarded with several prizes and accolades, Connor has received four Comets, a Top of the Pops Award, a Goldene Kamera, a Goldene Europa, a World Music Award, and two Echos. She married the American pop-rock musician Marc Terenzi in 2004, with whom she appeared in two reality shows, Sarah & Marc in Love (2007) and Sarah & Marc Crazy in Love (2008). They ended their relationship with divorce in 2008.