In real analysis and complex analysis, branches of mathematics, the identity theorem for analytic functions states: given functions f and g analytic on...
10 KB (1,614 words) - 16:40, 3 November 2024
energy theorem, or Rayleigh's identity, after John William Strutt, Lord Rayleigh. Although the term "Parseval's theorem" is often used to describe the...
9 KB (1,825 words) - 15:22, 1 October 2024
Euler's identity as the "most beautiful theorem in mathematics". In another poll of readers that was conducted by Physics World in 2004, Euler's identity tied...
15 KB (1,962 words) - 18:01, 17 October 2024
Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric...
14 KB (2,083 words) - 19:50, 13 November 2024
Bézout's identity (also called Bézout's lemma), named after Étienne Bézout who proved it for polynomials, is the following theorem: Bézout's identity — Let...
12 KB (1,639 words) - 13:35, 1 September 2024
\beta \tan \gamma }}.\end{aligned}}} Ptolemy's theorem is important in the history of trigonometric identities, as it is how results equivalent to the sum...
83 KB (12,318 words) - 11:23, 15 November 2024
mathematician George Green, who discovered Green's theorem. This identity is derived from the divergence theorem applied to the vector field F = ψ ∇φ while using...
18 KB (2,947 words) - 13:16, 4 August 2023
mathematics and formal logic, a theorem is a statement that has been proven, or can be proven. The proof of a theorem is a logical argument that uses...
34 KB (4,394 words) - 21:19, 27 August 2024
In mathematics, the identity theorem for Riemann surfaces is a theorem that states that a holomorphic function is completely determined by its values on...
1 KB (152 words) - 03:44, 21 February 2024
fundamental theorems List of hypotheses List of inequalities Lists of integrals List of laws List of lemmas List of limits List of logarithmic identities List...
73 KB (6,030 words) - 15:22, 20 October 2024