Results 31 to 40 of about 5,016,292 (324)

On a High-Precision Method for Studying Attractors of Dynamical Systems and Systems of Explosive Type

open access: yesMathematics, 2022
The author of this article considers a numerical method that uses high-precision calculations to construct approximations to attractors of dynamical systems of chaotic type with a quadratic right-hand side, as well as to find the vertical asymptotes of ...
Alexander N. Pchelintsev
doaj   +1 more source

On Benford’s Law and the Coefficients of the Riemann Mapping Function for the Exterior of the Mandelbrot Set

open access: yesFractal and Fractional, 2022
We investigate Benford’s law in relation to fractal geometry. Basic fractals, such as the Cantor set and Sierpinski triangle are obtained as the limit of iterative sets, and the unique measures of their components follow a geometric distribution, which ...
Filippo Beretta   +5 more
doaj   +1 more source

Exponentiation in power series fields

open access: yes, 1996
We prove that for no nontrivial ordered abelian group G, the ordered power series field R((G)) admits an exponential, i.e. an isomorphism between its ordered additive group and its ordered multiplicative group of positive elements, but that there is a ...
Kuhlmann, Franz-Viktor   +2 more
core   +4 more sources

Norm and Numerical Radius Inequalities for Sums of Power Series of Operators in Hilbert Spaces

open access: yesAxioms
The main focus of this paper is on establishing inequalities for the norm and numerical radius of various operators applied to a power series with the complex coefficients h(λ)=∑k=0∞akλk and its modified version ha(λ)=∑k=0∞|ak|λk. The convergence of h(λ)
Najla Altwaijry   +2 more
doaj   +1 more source

Energy-optimal current distribution in an electrical network – controlling by the differential or the integral systems [PDF]

open access: yesBulletin of the Polish Academy of Sciences: Technical Sciences, 2019
In the complex RLC network, apart from the currents flows arising from the normal laws of Kirchhoff, other distributions of current, resulting from certain optimization criteria, may also be received.
M. Siwczyński, S. Żaba, A. Drwal
doaj   +1 more source

Further studies on ordinary differential equations involving the M-fractional derivative

open access: yesAIMS Mathematics, 2022
In the current paper, the power series based on the M-fractional derivative is formally introduced. More peciesely, the Taylor and Maclaurin expansions are generalized for fractional-order differentiable functions in accordance with the M-fractional ...
A. Khoshkenar   +6 more
doaj   +1 more source

Generalized Gompertz-power series distributions

open access: yes, 2015
In this paper, we introduce the generalized Gompertz-power series class of distributions which is obtained by compounding generalized Gompertz and power series distributions.
Jafari, Ali Akbar, Tahmasebi, Saeid
core   +1 more source

Encoding algebraic power series [PDF]

open access: yes, 2014
Algebraic power series are formal power series which satisfy a univariate polynomial equation over the polynomial ring in n variables. This relation determines the series only up to conjugacy. Via the Artin-Mazur theorem and the implicit function theorem
Alonso, M. E.   +2 more
core  

Power series rings and projectivity

open access: yes, 2005
We show that a formal power series ring $A[[X]]$ over a noetherian ring $A$ is not a projective module unless $A$ is artinian. However, if $(A,{\mathfrak m})$ is local, then $A[[X]]$ behaves like a projective module in the sense that $Ext^p_A(A[[X]], M ...
Buchweitz, R. -O., Flenner, H.
core   +3 more sources

By dawn or dusk—how circadian timing rewrites bacterial infection outcomes

open access: yesFEBS Letters, EarlyView.
The circadian clock shapes immune function, yet its influence on infection outcomes is only beginning to be understood. This review highlights how circadian timing alters host responses to the bacterial pathogens Salmonella enterica, Listeria monocytogenes, and Streptococcus pneumoniae revealing that the effectiveness of immune defense depends not only
Devons Mo   +2 more
wiley   +1 more source

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