Brahmagupta's interpolation formula is a second-order polynomial interpolation formula developed by the Indian mathematician and astronomer Brahmagupta...

or tetrahedron Brahmagupta's interpolation formula Discretization Fractal interpolation Imputation (statistics) Lagrange interpolation Missing data Newton–Cotes...

in his treatise Khandakhadyaka. Brahmagupta–Fibonacci identity Brahmagupta's formula Brahmagupta theorem Brahmagupta triangle Chakravala method List of...

polynomials. Aryabhata's sine table Madhava's sine table Brahmagupta's interpolation formula J J O'Connor and E F Robertson (November 2000). "Bhāskara...

based on this identity. Brahmagupta matrix Brahmagupta polynomials Brahmagupta–Fibonacci identity Brahmagupta's interpolation formula Gauss composition law...

Heron's formula to cyclic quadrilaterals. 628: Brahmagupta discovers second-order interpolation, in the form of Brahmagupta's interpolation formula. 628:...

Brahmagupta's interpolation formula — seventh-century formula for quadratic interpolation Extensions to multiple dimensions: Bilinear interpolation Trilinear...

computing intermediate results to seven places would generally require interpolation between adjacent entries. log ⁡ a = 0.6192290 , log ⁡ b = 0.9618637...

}{2}}-x\right)} (also derived earlier, as mentioned above) and the Brahmagupta interpolation formula for computing sine values. Madhava (c. 1400) made early strides...

mapping 2D computer graphics 2D geometric model Altitude Brahmagupta's formula Bretschneider's formula Compass and straightedge constructions Squaring the...

and quadratic equations, and rules for summing series, Brahmagupta's identity, and the Brahmagupta theorem. 721 – China, Zhang Sui (Yi Xing) computes the...

of X . {\displaystyle X.} Using the above general formula, we get the Lagrange interpolation formula: P ( X ) = ∑ i = 1 k A i Q i ( X ) Q i ( x i ) . {\displaystyle...

and compute the required value by using an appropriate interpolation method. Interpolation of simple look-up tables of trigonometric functions is still...

function Partial fraction Partial fraction decomposition over R Vieta's formulas Integer-valued polynomial Algebraic equation Factor theorem Polynomial...

by Indian Mathematician Brahmagupta in his book Brāhmasphuṭasiddhānta 625 CE. The full recognition of the quadratic formula requires the introduction...

Difference Interpolation: The Indian mathematician Brahmagupta presented what is possibly the first instance of finite difference interpolation around 665...

Greek influence on Brahmagupta's work, or at least a common Babylonian source. Like the algebra of Diophantus, the algebra of Brahmagupta was syncopated....

Fischbein, Tammy Brooks. "Brahmagupta's Formula". University of Georgia. Retrieved 3 November 2011. Weisstein, Eric W. "Brahmagupta Matrix". Mathworld. Retrieved...

second-order interpolation for computing the positions of the sun and the moon. 665 - Brahmagupta discovers a second order Newton-Stirling interpolation for sin...

was his mean value type formula for the inverse interpolation of the sine. He was the first mathematician to give a formula for the radius of the circle...

doi:10.2307/1558972, JSTOR 1558972. Gupta, R. C. (1969) "Second Order of Interpolation of Indian Mathematics", Indian Journal of History of Science 4: 92-94...

Spread polynomials Abbe error Hypot Prosthaphaeresis Trigonometric interpolation Kunstweg, an algorithm for computing sines, introduced in the late 1500s...

today is usually derived from Rolle's theorem. The mean value formula for inverse interpolation of the sine was later founded by Parameshvara in the 15th...

University of Calicut. ISBN 9788177481495. R.C. Gupta. "Second order interpolation in Indian mathematics up to the fifteenth century" (PDF). Indian Journal...

numeral system with decimal place-value and a symbol for zero, interpolation formula, Fibonacci's identity, theorem, the first complete arithmetic solution...

difference compared to the ARM implementation is due to the overhead of the interpolation algorithm, which achieves full floating point precision (24 bits) and...

theorem (mathematical logic) Craig's theorem (mathematical logic) Craig's interpolation theorem (mathematical logic) Cut-elimination theorem (proof theory)...

I, and Brahmagupta, and Mahāvīra, and the Bakhshali manuscript, including the invention of negative numbers and algebra, Brahmagupta's formula for the...