There is also a notion of a fully time-constructible function. A function f is called fully time-constructible if there exists a Turing machine M which...
4 KB (605 words) - 11:34, 15 May 2024
In mathematics, in set theory, the constructible universe (or Gödel's constructible universe), denoted by L {\displaystyle L} , is a particular class of...
32 KB (6,092 words) - 05:10, 28 August 2024
B over A Constructible universe, Kurt Gödel's model L of set theory, constructed by transfinite recursion Constructible function, a function whose values...
1 KB (225 words) - 20:35, 11 April 2019
is constructible if any root of the nth cyclotomic polynomial is constructible. Restating the Gauss–Wantzel theorem: A regular n-gon is constructible with...
16 KB (2,191 words) - 08:42, 26 October 2024
notion of a time-constructible function. A function f : N → N {\displaystyle f:\mathbb {N} \rightarrow \mathbb {N} } is time-constructible if there exists...
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coordinate system, a point is constructible if and only if its Cartesian coordinates are both constructible numbers. Constructible numbers and points have also...
33 KB (4,921 words) - 23:11, 22 August 2024
The axiom of constructibility is a possible axiom for set theory in mathematics that asserts that every set is constructible. The axiom is usually written...
8 KB (1,026 words) - 07:12, 22 September 2024
assumed. □ The above theorem implies the necessity of the space-constructible function assumption in the space hierarchy theorem. L = DSPACE(O(log n))...
7 KB (1,047 words) - 07:21, 26 April 2023
common functions that we work with are space-constructible, including polynomials, exponents, and logarithms. For every space-constructible function f :...
16 KB (2,699 words) - 22:42, 21 December 2023
sorted array sorted list sort in-place sort merge soundex space-constructible function spanning tree sparse graph sparse matrix sparsification sparsity...
35 KB (3,137 words) - 09:36, 21 October 2024
NTIME is also related to DSPACE in the following way. For any time constructible function t(n), we have N T I M E ( t ( n ) ) ⊆ D S P A C E ( t ( n ) ) {\displaystyle...
2 KB (414 words) - 02:24, 22 May 2023
mathematics, the gamma function (represented by Γ, capital Greek letter gamma) is the most common extension of the factorial function to complex numbers....
91 KB (13,517 words) - 14:35, 30 October 2024
In algebraic geometry, the Behrend function of a scheme X, introduced by Kai Behrend, is a constructible function ν X : X → Z {\displaystyle \nu _{X}:X\to...
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complexity functions, then f + g, fg, and 2f are also proper complexity functions. Similar notions include honest functions, space-constructible functions, and...
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can be applied to construct fixed points of certain operations on computable functions, to generate quines, and to construct functions defined via recursive...
21 KB (3,089 words) - 09:50, 18 July 2024
language constructs, not functions. So while (true) is a language construct, while add(10) is a function call. In PHP print is a language construct. <?php...
2 KB (186 words) - 22:03, 7 July 2024
Function-Spacer-Lipid (FSL) Kode constructs (Kode Technology) are amphiphatic, water dispersible biosurface engineering constructs that can be used to...
41 KB (3,724 words) - 11:10, 9 July 2024
mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the...
75 KB (11,317 words) - 17:39, 12 October 2024
mathematical analysis, the Dirac delta function (or δ distribution), also known as the unit impulse, is a generalized function on the real numbers, whose value...
94 KB (14,079 words) - 09:16, 27 October 2024
optimization and decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or values of one...
21 KB (2,796 words) - 05:57, 15 September 2024
computer programming, a function object is a construct allowing an object to be invoked or called as if it were an ordinary function, usually with the same...
36 KB (4,382 words) - 17:22, 14 May 2024
Lyapunov functions for linear systems, and conservation laws can often be used to construct Lyapunov functions for physical systems. A Lyapunov function for...
7 KB (1,085 words) - 14:27, 29 July 2024
A likelihood function (often simply called the likelihood) measures how well a statistical model explains observed data by calculating the probability...
64 KB (8,535 words) - 04:50, 6 November 2024
surjective function (also known as surjection, or onto function /ˈɒn.tuː/) is a function f such that, for every element y of the function's codomain, there...
18 KB (2,184 words) - 14:55, 9 October 2024
mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of...
77 KB (10,607 words) - 00:30, 5 November 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...
50 KB (7,445 words) - 00:27, 29 October 2024
FullSimplify[ Table[ D[ Construct[ Function, L /. Subscript[\[Theta], i]'[t] -> # ]'[Subscript[\[Theta], i]'[t]], t ] == Construct[ Function, L /. Subscript[\[Theta]...
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terms of the partition function or its derivatives. The partition function is dimensionless. Each partition function is constructed to represent a particular...
30 KB (4,935 words) - 16:57, 7 October 2024
worst cases Busy beaver Circuit complexity Constructible function Cook-Levin theorem Exponential time Function problem Linear time Linear speedup theorem...
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is an iterative optimization method which exploits the convexity of a function in order to find its maxima or minima. The MM stands for “Majorize-Minimization”...
5 KB (648 words) - 13:22, 14 August 2023