Results 21 to 30 of about 48,005 (265)

Pell Equations and ℱpl-Continued Fractions

open access: yesJournal of Mathematics, 2022
In this note, the solvability of the Pell equation, X2−DY2=1, is discussed over ℤ×plℤ. In particular, we show that this equation is solvable over ℤ×plℤ for each prime p and natural number l.
Seema Kushwaha
doaj   +1 more source

On Some Branched Continued Fraction Expansions for Horn’s Hypergeometric Function H4(a,b;c,d;z1,z2) Ratios

open access: yesAxioms, 2023
The paper deals with the problem of representation of Horn’s hypergeometric functions by branched continued fractions. The formal branched continued fraction expansions for three different Horn’s hypergeometric function H4 ratios are constructed.
Tamara Antonova   +3 more
doaj   +1 more source

Evaluation of the Utility of Baseline Echocardiogram in Patients With Standard Risk Precursor B‐Lymphoblastic Leukemia

open access: yesPediatric Blood &Cancer, EarlyView.
Abstract Background A routine baseline echocardiogram is often obtained prior to anthracycline administration in children with cancer. The utility of baseline echocardiogram is unclear in patients with standard risk B‐cell acute lymphoblastic leukemia (SR B‐ALL) as their anthracycline cumulative dose is low.
Ziyad Alrajhi   +4 more
wiley   +1 more source

Continued fraction expansions of matrix eigenvectors

open access: yesFunctional Analysis and Other Mathematics, 2008
10 pages, 7 ...
openaire   +2 more sources

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

open access: yesFEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe   +3 more
wiley   +1 more source

Successful cryptanalysis on RSA type modulus N=p2q

open access: yese-Prime: Advances in Electrical Engineering, Electronics and Energy
As internet technology advances and our interactions increasingly take place online, cryptography emerges as a valuable tool to address security concerns. Cryptography serves as a means to guarantee the protection of privacy and confidential information,
Normahirah Nek Abd Rahman
doaj   +1 more source

Theoretical investigation of the perturbed artificial satellite problem using oblate continued fraction potential

open access: yesJournal of Taibah University for Science, 2021
In this research article, a new idea concerning the application of concept of the continued fractions to the expansion of the geopotential is treated. The perturbed motion of the satellite in the oblate gravitational field of the Earth using a potential ...
S. E. Abd El-Bar
doaj   +1 more source

Rational Approximations of Arbitrary Order: A Survey

open access: yesFractal and Fractional, 2021
This paper deals with the study and analysis of several rational approximations to approach the behavior of arbitrary-order differentiators and integrators in the frequency domain.
José Daniel Colín-Cervantes   +6 more
doaj   +1 more source

Time after time – circadian clocks through the lens of oscillator theory

open access: yesFEBS Letters, EarlyView.
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo   +2 more
wiley   +1 more source

Numerical stability of the branched continued fraction expansion of Horn's hypergeometric function $H_4$

open access: yesМатематичні Студії
In this paper, we consider some numerical aspects of branched continued fractions as special families of functions to represent and expand analytical functions of several complex variables, including generalizations of hypergeometric functions.
R. Dmytryshyn   +3 more
doaj   +1 more source

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