Fibonacci's identity
Encyclopedia
In mathematics
, the term Fibonacci's identity may refer either to
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, the term 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 multiplication; or to
- the Cassini and Catalan identities on Fibonacci numberFibonacci numberIn mathematics, the Fibonacci numbers are the numbers in the following integer sequence:0,\;1,\;1,\;2,\;3,\;5,\;8,\;13,\;21,\;34,\;55,\;89,\;144,\; \ldots\; ....
s.