Investigating some special sequence lengths generated in an external exclusive-NOR type LFSR

2008 ◽  
Vol 34 (4) ◽  
pp. 270-280 ◽  
Author(s):  
Afaq Ahmad ◽  
Ahmed Al-Maashri
Keyword(s):  
Special Sequence

Research Progress in the Typical Structure of Human Telomeric G-Quadruplex

2014 ◽  
Vol 955-959 ◽  
pp. 419-422
Author(s):  
Gui Lin Liu ◽  
Yan Ping Ding ◽  
Yan Ling Wu ◽  
Wen Zhang
Keyword(s):  
Cell Cycle ◽  
Dna Sequences ◽  
Research Progress ◽  
Human Chromosomes ◽  
Telomeric Dna ◽  
Typical Structure ◽  
Special Sequence ◽  
Physiological Processes ◽  
G Quadruplex ◽  
Small Molecule Ligands

Telomeric DNA of human chromosomes plays a significant role in physiological processes such as cell cycle, aging, cancer and genetic stability due to its special sequence and structure. The research on small molecule ligands targeting G-quadruplex formed by such special sequence has attracted considerable attention, and has achieved great breakthrough. In this paper, we summarize the DNA sequences and structures of three kinds of typical human telomeric G-quadruplex, providing an important reference for further research.

scholarly journals Some Symmetric Identities Involving Fubini Polynomials and Euler Numbers

Symmetry ◽  
2018 ◽  
Vol 10 (8) ◽  
pp. 303 ◽  
Author(s):  
Zhao Jianhong ◽  
Chen Zhuoyu
Keyword(s):  
Calculation Method ◽  
Computational Formula ◽  
Euler Numbers ◽  
Special Sequence ◽  
Computational Problem ◽  
Elementary Methods ◽  
Symmetric Identities ◽  
Recursive Calculation

The aim of this paper is to use elementary methods and the recursive properties of a special sequence to study the computational problem of one kind symmetric sums involving Fubini polynomials and Euler numbers, and give an interesting computational formula for it. At the same time, we also give a recursive calculation method for the general case.

Expansions with Poisson kernels and related topics

2010 ◽  
Vol 53 (1) ◽  
pp. 153-173 ◽  
Author(s):  
Cristina Giannotti ◽  
Paolo Manselli
Keyword(s):  
Unit Disc ◽  
Poisson Kernel ◽  
Cauchy Type ◽  
Two Dimensional ◽  
Type Problem ◽  
Special Sequence ◽  
Poisson Kernels ◽  
Cauchy Type Problem ◽  
In Series

AbstractLet P(r, θ) be the two-dimensional Poisson kernel in the unit disc D. It is proved that there exists a special sequence {ak} of points of D which is non-tangentially dense for ∂D and such that any function on ∂D can be expanded in series of P(|ak|, (·)–arg ak) with coefficients depending continuously on f in various classes of functions. The result is used to solve a Cauchy-type problem for Δu = μ, where μ is a measure supported on {ak}.

ON EXACT SOLUTION OF OPTIMIZATION TASK GENERATED BY THE LAPLACE EQUATION

2018 ◽  
pp. 466-472
Author(s):  
Asaad Naser Mzedawee
Keyword(s):  
Exact Solution ◽  
Laplace Equation ◽  
Existence And Uniqueness ◽  
Parameter Family ◽  
Two Dimensional ◽  
Special Sequence ◽  
Optimization Task ◽  
Finite Dimensional ◽  
Residual Functional

A one-parameter family of finite-dimensional spaces consisting of special two-dimensional splines of Lagrangian type is defined (the parameter N is related to the dimension of the space). The Laplace equation generates in each such space the problem of minimizing the residual functional. The existence and uniqueness of optimal splines are proved. For their coefficients and residuals, exact formulas are obtained. It is shown that with increasing N; the minimum of the residual functional is O(N^(-5) ); and the special sequence consisting of optimal splines is fundamental.

The dispersion of a special sequence

1986 ◽  
Vol 47 (4) ◽  
pp. 347-352 ◽  
Author(s):  
Gerhard Larcher
Keyword(s):  
Special Sequence

scholarly journals On the properties of k-balancing and k-Lucas-balancing numbers

2017 ◽  
Vol 21 (2) ◽  
pp. 259-274 ◽  
Author(s):  
Prasanta Kumar Ray
Keyword(s):  
Natural Form ◽  
Special Sequence ◽  
Balancing Numbers

The k-Lucas-balancing numbers are obtained from a special sequence of squares of k-balancing numbers in a natural form. In this paper, we will study some properties of k-Lucas-balancing numbers and establish relationship between these numbers and k-balancing numbers.

scholarly journals Enhancing The Error Term of, |Np(x) – τx} For Some Special Sequence

2021 ◽  
Vol 1963 (1) ◽  
pp. 012138
Author(s):  
Hanan Salim Hussein ◽  
Faez A. Al–maamori
Keyword(s):  
Error Term ◽  
Special Sequence

scholarly journals Deterministic elliptic curve primality proving for a special sequence of numbers

2013 ◽  
Vol 1 (1) ◽  
pp. 1-20 ◽  
Author(s):  
Alexander Abatzoglou ◽  
Alice Silverberg ◽  
Andrew Sutherland ◽  
Angela Wong
Keyword(s):  
Elliptic Curve ◽  
Special Sequence
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