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By the 4th century: A square root finding algorithm with quartic convergence, known as the Bakhshali method (after the Bakhshali manuscript which records it), is discovered in India. [ 73 ] By the 4th century: The present Hindu–Arabic numeral system with place-value numerals develops in Gupta-era India, and is attested in the Bakhshali ...
The treatise also provides values of π, [107] which Chinese mathematicians originally approximated as 3 until Liu Xin (d. 23 AD) provided a figure of 3.1457 and subsequently Zhang Heng (78–139) approximated pi as 3.1724, [114] as well as 3.162 by taking the square root of 10.
((x),(y) = {239, 13 2} is a solution to the Pell equation x 2 − 2 y 2 = −1.) Formulae of this kind are known as Machin-like formulae . Machin's particular formula was used well into the computer era for calculating record numbers of digits of π , [ 40 ] but more recently other similar formulae have been used as well.
The life expectancy in India is at 70 years—71.5 years for women, 68.7 years for men. [291] There are around 93 physicians per 100,000 people. [362] Migration from rural to urban areas has been an important dynamic in India's recent history. The number of people living in urban areas grew by 31.2% between 1991 and 2001. [363]
Africa is the world's second-largest and second-most populous continent after Asia.At about 30.3 million km 2 (11.7 million square miles) including adjacent islands, it covers 20% of Earth's land area and 6% of its total surface area. [9]
A pylon was fitted under the right wing between the fuselage and the inboard engines with a 6 by 8 feet (1.8 m × 2.4 m) section removed from the right wing flap to fit the X-15 tail. Liquid oxygen and hydrogen peroxide tanks were installed in the bomb bays to fuel the X-15 before launch.
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