In algebra, the Brahmagupta–Fibonacci identity expresses the product of two sums of two squares as a sum of two squares in two different ways. Hence the...

named after Fibonacci because of a connection to the Fibonacci numbers. Examples include the Brahmagupta–Fibonacci identity, the Fibonacci search technique...

method, was also based on this identity. Brahmagupta matrix Brahmagupta polynomials Brahmagupta–Fibonacci identity Brahmagupta's interpolation formula Gauss...

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

Fibonacci's identity may refer either to: the Brahmagupta–Fibonacci identity in algebra, showing that the set of all sums of two squares is closed under...

speaking, an identity) Binet-cauchy identity Binomial inverse theorem Binomial identity Brahmagupta–Fibonacci two-square identity Candido's identity Cassini...

commutative ring). This identity is a generalisation of the Brahmagupta–Fibonacci identity and a special form of the Binet–Cauchy identity. In a more compact...

Brahmagupta–Fibonacci identity Fibonacci coding Fibonacci cube Fibonacci heap Fibonacci polynomials Fibonacci prime Fibonacci pseudoprime Fibonacci quasicrystal...

product of their absolute values, in the same way that the Brahmagupta–Fibonacci two-square identity does for complex numbers. This property is the definitive...

independent variable are not equally spaced. Brahmagupta's identity Brahmagupta matrix Brahmagupta–Fibonacci identity Gupta, R. C. "Second-order interpolation...

polynomials that are sums of squares of other polynomials The Brahmagupta–Fibonacci identity, representing the product of sums of two squares of polynomials...

commutative ring) Brahmagupta–Fibonacci identity, related to complex numbers in the sense discussed above Degen's eight-square identity, related to octonions...

this property of the quadratic form of a product refers to the Brahmagupta–Fibonacci identity. This property of the quadratic form of a bicomplex number indicates...

occur among square numbers (since 00 and 25 are repeated). Brahmagupta–Fibonacci identity – Expression of a product of sums of squares as a sum of squares...

derived from representations of its two factors, using the Brahmagupta–Fibonacci identity. Two-square theorem—Denote the number of divisors of n {\displaystyle...

Discovered by the Indian mathematician, Brahmagupta (598–668 CE): Brahmagupta–Fibonacci identity Brahmagupta formula Brahmagupta theorem Combinatorics – the Bhagavati...

Brahmagupta polynomials are a class of polynomials associated with the Brahmagupa matrix which in turn is associated with the Brahmagupta's identity. The...

authors. Diophantus was aware of the identity involving the sum of two squares, now called the Brahmagupta–Fibonacci identity, which is also articulated as a...

numbers where it is known Euler's method can be applied. The Brahmagupta–Fibonacci identity states that the product of two sums of two squares is a sum...

hypothesis H Bateman–Horn conjecture Waring's problem Brahmagupta–Fibonacci identity Euler's four-square identity Lagrange's four-square theorem Taxicab number...

,} (known as the Brahmagupta–Fibonacci identity), and also Euler's four-square identity and Degen's eight-square identity. These may be interpreted...

and Degen's eight-square identities. Brahmagupta–Fibonacci identity Euler's four-square identity Degen's eight-square identity Sedenions H. Zassenhaus...

Brahmagupta–Fibonacci identity, Brahmagupta formula, Brahmagupta matrix, and Brahmagupta theorem: Discovered by the Indian mathematician, Brahmagupta...

transmitted to Europe via medieval Islamic mathematicians and popularized by Fibonacci. It was independently used by the Maya. Common names for the number 0...

and the Islamic world. Brahmagupta's Brāhmasphuṭasiddhānta is the first book that mentions zero as a number, hence Brahmagupta is usually considered the...

and quadratic equations, and rules for summing series, Brahmagupta's identity, and the Brahmagupta theorem. 940 — Abu'l-Wafa al-Buzjani extracts roots using...

for quaternions (Euler's four-square identity), complex numbers (the Brahmagupta–Fibonacci two-square identity) and real numbers. In 1898 Adolf Hurwitz...

Mathematical Art. 628: Brahmagupta writes down Brahmagupta's identity, an important lemma in the theory of Pell's equation. 628: Brahmagupta produces an infinite...

Fibonacci Quarterly, 8 (5): 499–506, doi:10.1080/00150517.1970.12431055 Beauregard, Raymond A.; Suryanarayan, E. R. (January 1998), "The Brahmagupta Triangles"...

1200 CE), important contributions were made by scholars like Aryabhata, Brahmagupta, Bhaskara II, Varāhamihira, and Madhava. The decimal number system in...