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Gaps of size 2, 4, and (conditionally) 6 between successive odd composite numbers occur infinitely often [PDF]
Notes on Number Theory and Discrete MathematicsThe infinite sequence of gaps (first differences) between successive odd composite numbers contains only the numbers 2, 4, and 6. We prove that, for any natural number k, the sequence of gaps contains infinitely many k-tuplets of consecutive gaps all ...
Joel E. Cohen, Dexter Senft
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Моделирование и анализ информационных систем, 2016 For a second order equation with a small factor at the highest derivative the asymptotic behavior of all eigenvalues of periodic and antiperiodic problems is studied. The main assumption is that the coefficient at the first derivative in the equation is the
S. A. Kashchenko
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Asymptotics of Solutions of the Generalized Hutchinson’s Equation
Моделирование и анализ информационных систем, 2015 We discuss the dynamics of the Hutchinson’s equation and its generalizations. An estimate of the global stability region of a positive steady state is obtained. The main results refer to existence, stability and asymptotics of a slow oscillating solution.
S. A. Kaschenko
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Asymptotic Formulation for the Rayleigh Wave on a Nonlocally Elastic Half-Space
Vibration, 2023 This paper deals with the Rayleigh wave, propagating on a nonlocally elastic, linearly isotropic half-space, excited by a prescribed surface loading. The consideration develops the methodology of hyperbolic–elliptic models for Rayleigh and Rayleigh-type ...
Danila A. Prikazchikov
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Моделирование и анализ информационных систем, 2017 The article considers asymptotic distribution of characteristic constants in periodic and antiperiodic boundary-value problems for the second-order linear equation with periodic coefficients.
Sergey A. Kashchenko
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A Systematically Reduced Mathematical Model for Organoid Expansion
Frontiers in Bioengineering and Biotechnology, 2021 Organoids are three-dimensional multicellular tissue constructs. When cultured in vitro, they recapitulate the structure, heterogeneity, and function of their in vivo counterparts. As awareness of the multiple uses of organoids has grown, e.g.
Meredith A. Ellis +5 more
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A High-Dimensional Counterpart for the Ridge Estimator in Multicollinear Situations
Mathematics, 2021 The ridge regression estimator is a commonly used procedure to deal with multicollinear data. This paper proposes an estimation procedure for high-dimensional multicollinear data that can be alternatively used.
Mohammad Arashi +3 more
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ASYMPTOTIC UNCONDITIONALITY [PDF]
The Quarterly Journal of Mathematics, 2009 We show that a separable real Banach space embeds almost isometrically in a space $Y$ with a shrinking 1-unconditional basis if and only if $\lim_{n \to \infty} \|x^* + x_n^*\| = \lim_{n \to \infty} \|x^* - x_n^*\|$ whenever $x^* \in X^*$, $(x_n^*)$ is a weak$^*$-null sequence and both limits exist. If $X$ is reflexive then $Y$ can be assumed reflexive.
Cowell, S. R., Kalton, N. J.
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Croatian Medical Journal, 2009 Medicine and “ Big Pharma” , as its strongest ally, are rapidly reorienting toward treating the healthy people, which is well reflected in the Ray Moynihan’ s term of disease mongering and Richard Smith’ s list of non-diseases. The most obvious and commonest reasons for this trend are profit (healthy people are more numerous and wealthier than ill ...
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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 The article is devoted to study of boundary value problem with boundary jumps for third order linear integro-differential equation with a small parameter at the highest derivatives, provided that additional characteristic equation’s roots have opposite ...
A.E. Mirzakulova +3 more
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