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There is a page named "Arithmetically definable function" on Wikipedia
- satisfies some arithmetical property. A set Y of natural numbers is implicitly arithmetical or implicitly arithmetically definable if it is definable with an...5 KB (727 words) - 22:30, 3 January 2023
- In number theory, an arithmetic, arithmetical, or number-theoretic function is generally any function f(n) whose domain is the positive integers and whose...53 KB (7,508 words) - 15:05, 5 March 2024
- elementary function arithmetic (EFA), also called elementary arithmetic and exponential function arithmetic, is the system of arithmetic with the usual...7 KB (872 words) - 20:32, 22 August 2023
- of arithmetically definable functions is closed under primitive recursion, and therefore includes all primitive recursive functions. The β function was...8 KB (1,335 words) - 22:31, 2 March 2024
- have only countably many formulas, every notion of definable numbers has at most countably many definable real numbers. However, by Cantor's diagonal argument...11 KB (1,502 words) - 02:55, 9 April 2024
- In number theory, the gcd-sum function, also called Pillai's arithmetical function, is defined for every n {\displaystyle n} by P ( n ) = ∑ k = 1 n gcd...1 KB (190 words) - 14:03, 13 April 2024
- OEIS). In number theory another arithmetic function closely related to the Möbius function is the Mertens function, defined by M ( n ) = ∑ k = 1 n μ ( k...23 KB (2,836 words) - 15:37, 13 June 2024
- lower in the arithmetical hierarchy. Post's theorem shows that, for each n, Thn( N {\displaystyle {\mathcal {N}}} ) is arithmetically definable, but only...9 KB (1,133 words) - 05:32, 10 May 2024
- (also arithmetic and arithmetically definable) if it is defined by some formula in the language of Peano arithmetic. Equivalently X is arithmetical if X...25 KB (4,582 words) - 20:13, 1 April 2024
- mathematics, the arithmetic zeta function is a zeta function associated with a scheme of finite type over integers. The arithmetic zeta function generalizes...11 KB (1,605 words) - 06:23, 6 February 2024
- than it. If elements in the data increase arithmetically when placed in some order, then the median and arithmetic average are equal. For example, consider...13 KB (1,943 words) - 08:30, 8 April 2024
- In number theory, the Lagarias arithmetic derivative or number derivative is a function defined for integers, based on prime factorization, by analogy...16 KB (2,077 words) - 09:58, 11 May 2024
- cohomology of Spec K. Two fields are called arithmetically equivalent if they have the same Dedekind zeta function. Wieb Bosma and Bart de Smit (2002) used...11 KB (1,593 words) - 21:16, 26 May 2024
- directly characterized by height functions which measure their arithmetic complexity. The structure of algebraic varieties defined over non-algebraically closed...15 KB (1,464 words) - 19:56, 6 May 2024
- \Re (z)>0\,.} The gamma function then is defined as the analytic continuation of this integral function to a meromorphic function that is holomorphic in...90 KB (13,358 words) - 08:57, 13 August 2024
- common example of a sigmoid function is the logistic function shown in the first figure and defined by the formula: σ ( x ) = 1 1 + e − x = e x 1 + e x...13 KB (1,688 words) - 07:27, 10 May 2024
- In computer programming, a pure function is a function that has the following properties: the function return values are identical for identical arguments...11 KB (1,244 words) - 21:39, 29 May 2024
- A hash function is any function that can be used to map data of arbitrary size to fixed-size values, though there are some hash functions that support...49 KB (7,868 words) - 14:03, 13 July 2024
- [citation needed] Sign function Three-way comparison Might not be present in a Fortran 2018 compiler. See the Deprecation section. arithmetic IF @ everything2...2 KB (189 words) - 23:57, 18 May 2022
- Peano axioms (redirect from Peano arithmetic)axioms define the arithmetical properties of the natural numbers. The naturals are assumed to be closed under a single-valued "successor" function S. For...48 KB (6,428 words) - 19:03, 27 June 2024
- or is a variable point in a Cn when there are n variables. The function is definable by means of the domain of the argument and the rule of calculation
- effective method expressed as a finite list of well-defined instructions for calculating a function. Algorithms are used for calculation, data processing
- do arithmetic in Java, one must first declare at least one variable. Typically one declares a variable and assigns it a value before any arithmetic is