Madhava's correction term is a mathematical expression attributed to Madhava of Sangamagrama (c. 1340 – c. 1425), the founder of the Kerala school of astronomy...

Kerala, until the nineteenth century." Madhava Observatory Madhava's sine table Madhava series Madhava's correction term Venvaroha Yuktibhāṣā Kerala school...

series. It is sometimes called the Madhava–Leibniz series as it was first discovered by the Indian mathematician Madhava of Sangamagrama or his followers...

involving π. The last sum also appears in Leibniz' formula for π. The correction term and error bound is given by 1 2 2 n − 1 ∫ 0 1 x 4 n ( 1 − x ) 4 n d...

power series expansion for tan−1 q above. Madhava of Sangamagrama Madhava's sine table Madhava's correction term Padé approximant Taylor series Laurent series...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

{3^{2}}{2m+\ddots }}}}}}}}\qquad (m=1,2,3,\ldots )} Note that Madhava's correction term is 2 2 m + 1 2 2 m + 2 2 2 m = 4 m 2 + 1 4 m 3 + 5 m {\displaystyle...

Askey & Roy 1999, p. 59. Gupta, R. C. (1992). "On the remainder term in the Madhava–Leibniz's series". Ganita Bharati. 14 (1–4): 68–71. Jones, William...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

}}+{\frac {x^{5}}{5!}}-{\frac {x^{7}}{7!}}+\cdots } Madhava series Madhava's correction term Madhava's value of π Āryabhaṭa's sine table Ptolemy's table...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

circle" is sometimes used as a metaphor for trying to do the impossible. The term quadrature of the circle is sometimes used as a synonym for squaring the...

the lexicographic order and by choosing for each factor in the product the term with non-zero coefficient which has maximum exponent according to this ordering:...

to as the area of a circle in informal contexts, strictly speaking, the term disk refers to the interior region of the circle, while circle is reserved...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

and its "derivative": His working definition of "derivative" was the O(h) -term in f(x + h), which was computed by the binomial theorem. He obtained some...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

Pingala (c. 200 BCE). Madhava's correction terms – Madhava's correction term is a mathematical expression attributed to Madhava of Sangamagrama (c. 1340...

={\sqrt {3}}\arctan {\frac {1}{\sqrt {3}}}={\frac {\pi }{2{\sqrt {3}}}}} (Madhava series) ∑ n = 1 ∞ ( − 1 ) n + 1 n 2 = 1 1 2 − 1 2 2 + 1 3 2 − 1 4 2 + ⋯...

Less than 22/7 Approximations Madhava's correction term Memorization People Archimedes Liu Hui Zu Chongzhi Aryabhata Madhava Jamshīd al-Kāshī Ludolph van...

the world record for the most accurate value of π for centuries, until Madhava of Sangamagrama calculated 11 digits in the 14th century or Jamshid al-Kashi...