who was the person known to find the first calculation of pi when was it
Pi Ancient civilizations required fairly accurate computed values for π for practical reasons, including the Egyptians and Babylonians. Around 250 BC the Greek mathematician Archimedes created an algorithm for calculating it. It was approximated to seven digits, using geometrical techniques, in Chinese mathematics, and to about five digits in Indian mathematics in the 5th century AD. The historically first exact formula for π, based on infinite series, was not available until a millennium later, when in the 14th century the Madhava–Leibniz series was discovered in Indian mathematics.[2][3] In the 20th and 21st centuries, mathematicians and computer scientists discovered new approaches that, when combined with increasing computational power, extended the decimal representation of π to many trillions of digits after the decimal point.[4] Practically all scientific applications require no more than a few hundred digits of π, and many substantially fewer, so the primary motivation for these computations is the quest to find more efficient algorithms for calculating lengthy numeric series, as well as the desire to break records.[5][6] The extensive calculations involved have also been used to test supercomputers and high-precision multiplication algorithms.
Limit of a function (the Dirichlet function) has no limit at any x-coordinate.
Pi The earliest known use of the Greek letter π alone to represent the ratio of a circle's circumference to its diameter was by Welsh mathematician William Jones in his 1706 work Synopsis Palmariorum Matheseos; or, a New Introduction to the Mathematics.[100][101] The Greek letter first appears there in the phrase "1/2 Periphery (π)" in the discussion of a circle with radius one.[102] However, he writes that his equations for π are from the "ready pen of the truly ingenious Mr. John Machin", leading to speculation that Machin may have employed the Greek letter before Jones.[96] Jones' notation was not immediately adopted by other mathematicians, with the fraction notation still being used as late as 1767.[93][103]
Exponentiation Any nonzero number raised to the 0 power is 1:[11]