mathematics, a sequence transformation is an operator acting on a given space of sequences (a sequence space). Sequence transformations include linear...
5 KB (730 words) - 21:18, 14 April 2025
Seq2seq (redirect from Sequence-to-sequence)
recognition, and text summarization. Seq2seq uses sequence transformation: it turns one sequence into another sequence. One naturally wonders if the problem of...
23 KB (2,946 words) - 23:29, 17 June 2025
Series (mathematics) (redirect from Summable sequence)
a sequence is an example of a linear sequence transformation, and it is also known as the prefix sum in computer science. The inverse transformation for...
79 KB (12,851 words) - 22:12, 24 June 2025
Binomial transform (redirect from Euler's transformation of series)
In combinatorics, the binomial transform is a sequence transformation (i.e., a transform of a sequence) that computes its forward differences. It is closely...
14 KB (2,438 words) - 15:02, 19 April 2025
analysis, the Shanks transformation is a non-linear series acceleration method to increase the rate of convergence of a sequence. This method is named...
11 KB (1,777 words) - 03:06, 18 December 2023
Series acceleration (redirect from Sequence acceleration)
mathematics, a series acceleration method is any one of a collection of sequence transformations for improving the rate of convergence of a series. Techniques for...
9 KB (1,555 words) - 09:48, 7 June 2025
between every pair of points. The rigid transformations include rotations, translations, reflections, or any sequence of these. Reflections are sometimes...
9 KB (1,146 words) - 21:21, 22 May 2025
method is a linear sequence transformation that preserves the limits of convergent sequences. The linear sequence transformation can be applied to the...
8 KB (1,389 words) - 03:10, 20 April 2025
{\displaystyle n} into k {\displaystyle k} parts. This is a linear sequence transformation. The inverse transform is a n = ∑ k = 1 n ( − 1 ) n − k [ n k ]...
2 KB (389 words) - 00:35, 13 October 2024
convergence method and a particular case of a nonlinear sequence transformation. A sequence X = ( x n ) {\textstyle X=(x_{n})} that converges to a limiting...
12 KB (1,975 words) - 20:46, 19 May 2025
combination and sequence. Viewing an affine space as the complement of a hyperplane at infinity of a projective space, the affine transformations are the projective...
26 KB (3,479 words) - 14:13, 30 May 2025
scattering transform Legendre transformation Möbius transformation Perspective transform (computer graphics) Sequence transform Watershed transform (digital...
3 KB (266 words) - 20:08, 15 June 2025
Minimum polynomial extrapolation, a sequence transformation algorithm used for convergence acceleration of vector sequences Miss Philippines Earth Molecular...
2 KB (228 words) - 08:26, 1 May 2024
Möbius transformation can be composed as a sequence of simple transformations. The following simple transformations are also Möbius transformations: f (...
70 KB (10,603 words) - 19:06, 8 June 2025
Divergent series (section Hausdorff transformations)
methods and sequence transformations as numerical techniques. Examples of such techniques are Padé approximants, Levin-type sequence transformations, and order-dependent...
32 KB (5,028 words) - 15:28, 17 May 2025
initial data. Also, one may use sequence transformations like Padé approximants and Levin-type sequence transformations as extrapolation methods that lead...
13 KB (1,701 words) - 03:36, 2 June 2025
that the sequence o p ∘ o p ¯ {\displaystyle op\circ {\overline {op}}} has no effect on the transformation of other operations. The transformation functions...
46 KB (5,311 words) - 21:59, 26 April 2025
Loop optimization (redirect from Loop transformation)
representation, with each transformation having an associated test for legality. A transformation (or sequence of transformations) generally must preserve...
11 KB (1,501 words) - 16:39, 6 April 2024
Symmetrical components (redirect from Negative sequence)
phasors are: Sequence 0 (also known as zero sequence or homopolar) is one-third the sum of the original three phasors. Sequence 1 (positive sequence) is one-third...
17 KB (2,654 words) - 21:48, 23 June 2025
known as sequence spaces. Operators on these spaces are known as sequence transformations. Bounded linear operators over a Banach space form a Banach algebra...
13 KB (1,857 words) - 21:52, 8 May 2024
analysis, Richardson extrapolation is a sequence acceleration method used to improve the rate of convergence of a sequence of estimates of some value A ∗ = lim...
14 KB (2,734 words) - 06:05, 24 June 2025
non-sequence specific, although in some species the presence of specific DNA uptake sequences may facilitate efficient DNA uptake. Natural transformation...
55 KB (6,874 words) - 15:48, 27 June 2025
approximating the limits of the original sequences. One example of series acceleration by sequence transformation is Aitken's delta-squared process. These...
34 KB (5,628 words) - 01:46, 27 June 2025
orbiting several AU from a star will survive the star's post-main-sequence transformation into a white dwarf. Moreover, white dwarfs, being much smaller...
154 KB (17,961 words) - 06:00, 27 June 2025
current sequence and i α β γ ( t ) {\displaystyle i_{\alpha \beta \gamma }(t)} is the corresponding current sequence given by the transformation T {\displaystyle...
9 KB (1,698 words) - 12:53, 1 May 2025
gene or sequence in the transformed cells, it is possible to determine the amount of plasmid DNA present in the cell, and thus the transformation efficiency...
24 KB (3,035 words) - 08:31, 13 June 2025
Neural machine translation, based on then-newly invented sequence-to-sequence transformations, made obsolete the intermediate steps, such as word alignment...
54 KB (6,592 words) - 04:13, 4 June 2025
UTF-8 (redirect from File System Safe UCS Transformation Format)
themselves; multi-byte sequences would only include bytes with the high bit set. The name File System Safe UCS Transformation Format (FSS-UTF) and most...
49 KB (5,096 words) - 23:00, 26 June 2025
Monotonic function (redirect from Monotone transformation)
needed] The term monotonic transformation (or monotone transformation) may also cause confusion because it refers to a transformation by a strictly increasing...
19 KB (2,471 words) - 01:32, 25 January 2025
mathematics a transformation of a sequence's generating function provides a method of converting the generating function for one sequence into a generating...
62 KB (11,140 words) - 06:58, 19 March 2025