Neural Sequence Transformation

2021 ◽  
Vol 40 (7) ◽  
pp. 131-140
Author(s):  
Sabyasachi Mukherjee ◽  
Sayan Mukherjee ◽  
Binh‐Son Hua ◽  
Nobuyuki Umetani ◽  
Daniel Meister
Keyword(s):  
Sequence Transformation

Absolute summability functions for Hausdorff methods

1982 ◽  
Vol 91 (1) ◽  
pp. 51-56
Author(s):  
B. Kuttner
Keyword(s):  
Absolute Summability ◽  
Bounded Sequence ◽  
Summability Method ◽  
Negative Integer ◽  
Hausdorff Method ◽  
The Matrix ◽  
Sequence Transformation ◽  
Image Position

1. Following Lorentz, we suppose throughout that Ω(n) is a non-negati ve non-decreasing function of the non-negative integer n such that Ω(n)→ ∞ as n → ∞. Consider the summability method given by the sequence-to-sequence transformation corresponding to the matrix A = (ank). We say that Ω(n) is a summability function for A (or absolute summability function for A) if the following holds: Any bounded sequence {sn} such that the number of values of ν with ν ≤ n, sν ≠ 0 does not exceed Ω(n) is summable A (or is absolutely summable A, respectively). These definitions are due to Lorentz (4), (6). We shall be concerned with the case in which A is a regular Hausdorff method, say A = H = (H, μn). Then H is given by the matrix (hnk) withwithX(0) = X(0 + ) = 0, X(1) = 1;(see e.g.(1), chapter XI). We shall suppose throughout that these conditions are satisfied. It is known that H is then necessarily also absolutely regular.

scholarly journals Identities for linear recursive sequences of order $ 2 $

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Tian-Xiao He ◽  
Peter J.-S. Shiue
Keyword(s):  
General Rule ◽  
Transformation Techniques ◽  
Polynomial Sequences ◽  
Recursive Sequences ◽  
Number Sequences ◽  
Sequence Transformation

<p style='text-indent:20px;'>We present here a general rule of construction of identities for recursive sequences by using sequence transformation techniques developed in [<xref ref-type="bibr" rid="b16">16</xref>]. Numerous identities are constructed, and many well known identities can be proved readily by using this unified rule. Various Catalan-like and Cassini-like identities are given for recursive number sequences and recursive polynomial sequences. Sets of identities for Diophantine quadruple are shown.</p>

scholarly journals Recursive sequences and girard-waring identities with applications in sequence transformation

2020 ◽  
Vol 28 (2) ◽  
pp. 1049-1062
Author(s):  
Tian-Xiao He ◽  
◽  
Peter J.-S. Shiue ◽  
Zihan Nie ◽  
Minhao Chen ◽  
...  
Keyword(s):  
Recursive Sequences ◽  
Sequence Transformation

Continue Wavelet Transform's Analysis in Zhuji Station's Rainfall Sequence Transformation

2014 ◽  
Vol 574 ◽  
pp. 708-711
Author(s):  
Hui Fang Guo ◽  
Zheng Dong Sun ◽  
Yu Liang Chen
Keyword(s):  
Wavelet Transform ◽  
Continuous Wavelet Transform ◽  
Transformation Process ◽  
Monthly Rainfall ◽  
Small Scale ◽  
Continuous Wavelet ◽  
Wavelet Coefficients ◽  
Real Component ◽  
Sequence Transformation

In this paper, it uses continuous wavelet transform in analysing zhuji station monthly rainfall. from the transformed wavelet coefficients’ real component, variance and modulus square, we can get the main measure contained in zhuji’s monthly rainfall sequence. By anlysing the transformation process of continuous wavelet transform coefficien’s real part of various scales, we can get zhuji station’s monthly rainfall sequence wet-dry transformation process of various scales. By caculated , we found zhuji station’s monthly rainfall sequence contains 10 month , 171 month and 393 month scale. In large scales, zhuji station’s rainfall is in hemiplegia period from 2013 to 2021. in small scale, zhuji station’s rainfall shifts strongly.

scholarly journals Pathways of transformation in Ustilago maydis determined by DNA conformation.

Genetics ◽  
1990 ◽  
Vol 124 (4) ◽  
pp. 833-843 ◽  
Author(s):  
S Fotheringham ◽  
W K Holloman
Keyword(s):  
Plasmid Dna ◽  
Large Fraction ◽  
Ustilago Maydis ◽  
Dna Conformation ◽  
Autonomously Replicating Sequence ◽  
Linear Dna ◽  
Sequence Transformation ◽  
End To End ◽  
Cloned Gene ◽  
Targeted Recombination

Abstract Ustilago maydis was transformed by plasmids bearing a cloned, selectable gene but lacking an autonomously replicating sequence. Transformation was primarily through integration at nonhomologous loci when the plasmid DNA was circular. When the DNA was made linear by cleavage within the cloned gene, the spectrum of integration events shifted from random to targeted recombination at the resident chromosomal allele. In a large fraction of the transformants obtained using linear DNA, the plasmid DNA was not integrated but was maintained in an extrachromosomal state composed of a concatameric array of plasmid units joined end-to-end. The results suggest the operation of several pathways for transformation in U. maydis, and that DNA conformation at the time of transformation governs choice of pathways.

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