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There is a page named "Peano's theorem" on Wikipedia
- the Peano existence theorem, Peano theorem or Cauchy–Peano theorem, named after Giuseppe Peano and Augustin-Louis Cauchy, is a fundamental theorem which...9 KB (1,775 words) - 19:26, 11 July 2024
- existence theorem. Peano's theorem requires that the right-hand side of the differential equation be continuous, while Carathéodory's theorem shows existence...6 KB (1,138 words) - 20:57, 13 October 2023
- Space-filling curve (redirect from Hahn-Mazurkiewicz theorem)the entire unit square. Therefore, Peano's space-filling curve was found to be highly counterintuitive. From Peano's example, it was easy to deduce continuous...15 KB (1,957 words) - 01:18, 7 August 2024
- the Peano's axioms. Podnieks, Karlis (2015-01-25). "3. First Order Arithmetic". What is Mathematics: Gödel's Theorem and Around. pp. 93–121. "Peano axioms"...48 KB (6,428 words) - 14:06, 15 August 2024
- definition?". This became one of Peano's main philosophical interests for the rest of his life. At the conference, Peano met Bertrand Russell and gave him...17 KB (1,846 words) - 14:01, 15 August 2024
- In numerical analysis, the Peano kernel theorem is a general result on error bounds for a wide class of numerical approximations (such as numerical quadratures)...4 KB (680 words) - 15:16, 6 April 2023
- Gödel's completeness theorem is a fundamental theorem in mathematical logic that establishes a correspondence between semantic truth and syntactic provability...17 KB (2,329 words) - 09:36, 10 June 2024
- in Peano's arithmetic. Moreover, this statement is true in the usual model. In addition, no effectively axiomatized, consistent extension of Peano arithmetic...92 KB (12,132 words) - 22:29, 5 July 2024
- Cauchy–Kovalevskaya theorem concerning partial differential equations The Cauchy–Peano theorem in the study of ordinary differential equations Cauchy's limit theorem This...659 bytes (103 words) - 13:34, 24 March 2023
- of a less powerful theory, such as Peano arithmetic. Generally, an assertion that is explicitly called a theorem is a proved result that is not an immediate...34 KB (4,376 words) - 00:28, 9 July 2024
- natural numbers that is unprovable in Peano arithmetic, after the examples provided by Gödel's incompleteness theorem and Gerhard Gentzen's 1943 direct proof...23 KB (2,737 words) - 21:35, 3 July 2024
- Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving...29 KB (2,945 words) - 22:08, 9 August 2024
- consequence of Kruskal's theorem and Kőnig's lemma. For each n, Peano arithmetic can prove that P ( n ) {\displaystyle P(n)} is true, but Peano arithmetic cannot...14 KB (1,739 words) - 03:21, 29 July 2024
- Entscheidungsproblem (redirect from Church's Theorem)theory of the natural numbers with addition and multiplication expressed by Peano's axioms cannot be decided with an algorithm. By default, the citations in...19 KB (2,620 words) - 06:57, 20 August 2024
- family of functions. The theorem is the basis of many proofs in mathematics, including that of the Peano existence theorem in the theory of ordinary...27 KB (3,817 words) - 22:11, 21 May 2024
- Picard's existence theorem, the Cauchy–Lipschitz theorem, or the existence and uniqueness theorem. The theorem is named after Émile Picard, Ernst Lindelöf...18 KB (3,044 words) - 19:03, 10 July 2024
- In mathematical logic, Löb's theorem states that in Peano arithmetic (PA) (or any formal system including PA), for any formula P, if it is provable in...12 KB (1,860 words) - 06:32, 29 May 2024
- In algebra and number theory, Wilson's theorem states that a natural number n > 1 is a prime number if and only if the product of all the positive integers...17 KB (2,320 words) - 23:47, 9 August 2024
- Paris–Harrington theorem states that a certain claim in Ramsey theory, namely the strengthened finite Ramsey theorem, which is expressible in Peano arithmetic...5 KB (648 words) - 20:33, 31 May 2024
- commonly written as ln(x) or loge(x). In mathematics, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among...59 KB (8,434 words) - 14:01, 10 August 2024
- attempt was to construct a proof for the axiom so as to give it place as a theorem. Many so-called demonstrations have been offered even up to the present
- mathematical induction. And it should be observed that, in Peano's method, it is only when theorems are to be proved concerning any number that mathematical
- Lipschitz continuous, and at the same time uniqueness is still given. Theorem (Peano's theorem): Let I = [ a , b ] {\displaystyle I=[a,b]} be a real interval