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 (4,376 words) - 00:28, 9 July 2024
Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories...
92 KB (12,132 words) - 22:29, 5 July 2024
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...
92 KB (12,566 words) - 22:15, 5 August 2024
In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b...
103 KB (11,486 words) - 14:18, 8 August 2024
Bayes' theorem (alternatively Bayes' law or Bayes' rule, after Thomas Bayes) gives a mathematical rule for inverting conditional probabilities, allowing...
52 KB (7,460 words) - 21:56, 29 July 2024
In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a theorem relating the flux of a vector field through...
45 KB (7,529 words) - 14:07, 17 August 2024
In database theory, the CAP theorem, also named Brewer's theorem after computer scientist Eric Brewer, states that any distributed data store can provide...
9 KB (935 words) - 09:54, 2 July 2024
In vector calculus, Green's theorem relates a line integral around a simple closed curve C to a double integral over the plane region D (surface in R...
23 KB (4,058 words) - 18:52, 11 August 2024
specifically abstract algebra, the isomorphism theorems (also known as Noether's isomorphism theorems) are theorems that describe the relationship between quotients...
25 KB (3,467 words) - 11:27, 10 January 2024
algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to...
35 KB (6,250 words) - 15:54, 15 July 2024