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Historically, the concept of a proof and its associated mathematical rigour first appeared in Greek mathematics, most notably in Euclid's Elements. [4] Since its beginning, mathematics was primarily divided into geometry and arithmetic (the manipulation of natural numbers and fractions), until the 16th and 17th centuries, when algebra [a] and ...
Flowchart of using successive subtractions to find the greatest common divisor of number r and s. In mathematics and computer science, an algorithm (/ ˈ æ l ɡ ə r ɪ ð əm / ⓘ) is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation. [1]
The study of mathematics as a "demonstrative discipline" began in the 6th century BC with the Pythagoreans, who coined the term "mathematics" from the ancient Greek μάθημα (mathema), meaning "subject of instruction". [4] Greek mathematics greatly refined the methods (especially through the introduction of deductive reasoning and ...
The coldest are December, January, and February, with mean temperatures of −4.6 to −1.1 °C (23.7 to 30.0 °F). The highest ever temperature recorded in the city was 39.4 °C (102.9 °F) on 30 July 1936. [64] [65] The coldest temperature ever recorded in the city was −32.9 °C (−27.2 °F) on 11 January 1951.
The PLATO system was launched in 1960 at the University of Illinois and subsequently commercially marketed by Control Data Corporation.It offered early forms of social media features with innovations such as Notes, PLATO's message-forum application; TERM-talk, its instant-messaging feature; Talkomatic, perhaps the first online chat room; News Report, a crowdsourced online newspaper, and blog ...
In 2015, DeepMind's AlphaGo became the first computer program to defeat a top human pro at the game of Go. According to Interbrand's annual Best Global Brands report, Google has been the second most valuable brand in the world (behind Apple Inc.) in 2013, [ 96 ] 2014, [ 97 ] 2015, [ 98 ] and 2016, with a valuation of $133 billion.
Artificial intelligence (AI), in its broadest sense, is intelligence exhibited by machines, particularly computer systems.It is a field of research in computer science that develops and studies methods and software that enable machines to perceive their environment and use learning and intelligence to take actions that maximize their chances of achieving defined goals. [1]
According to article 140 of the constitution and the presidential decree on electoral law, mayors of cities should be elected through free and direct elections for a four-year term. In practice however, mayors are appointed by the government. [324] Afghanistan is divided into 34 provinces, which are further divided into a number of districts.
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