Results 61 to 70 of about 8,164,309 (315)
Self-similar blow-up solutions of the four-dimensional Schrödinger-Wave system
Advances in Nonlinear AnalysisThis article is primarily dedicated to the investigation of the initial value problem for the Schrödinger-wave system in dimension four. By employing self-similar transformations in conjunction with the Banach fixed-point theorem, we establish the ...
Hou Wenhe +3 more
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Asymptotic Formula for the Moments of Takagi Function
Моделирование и анализ информационных систем, 2016 Takagi function is a simple example of a continuous but nowhere differentiable function. It is defined by T(x) = ∞ ᢘ k=0 2−nρ(2nx), where ρ(x) = min k∈Z |x − k|. The moments of Takagi function are defined as Mn = ᝈ 1 0 xnT(x) dx.
E. A. Timofeev
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FEBS Letters, EarlyView.Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil +4 more
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Polylogarithms and the Asymptotic Formula for the Moments of Lebesgue’s Singular Function
Моделирование и анализ информационных систем, 2016 Recall the Lebesgue's singular function. We define a Lebesgue's singular function \(L(t)\) as the unique continuous solution of the functional equation$$L(t) = qL(2t) +pL(2t-1),$$where \(p,q>0\), \(q=1-p\), \(p\ne q\).The moments of Lebesque' singular
E. A. Timofeev
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Percolation in Self-Similar Networks
Physical Review Letters, 2011 4 pages, 3 ...
Serrano Moral, Ma. Ángeles (María Ángeles) +2 more
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The ubiquitin‐proteasome system and autophagy as guardians of the cellular proteome
FEBS Letters, EarlyView.This Perspective covers the three principles governing the crosstalk between the ubiquitin‐proteasome system and autophagy in cellular proteostasis: (1) a shared ubiquitin code routing substrates via shuttle factors or autophagy receptors; (2) spatial compartmentalization into phase‐separated degradation hubs and organelle‐specific modules (exemplified
Ivan Dikic
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Existence of an Unbiased Entropy Estimator for the Special Bernoulli Measure
Моделирование и анализ информационных систем, 2017 Let \(\Omega = A^{N}\) be a space of right-sided infinite sequences drawn from a finite alphabet \(A = \{0,1\}\), \(N = \{1,2,\dots \}\), \[\label{rho} \rho(\boldsymbol{x},\boldsymbol{y}) = \sum_{k=1}^{\infty}|x_{k} - y_{k}|2^{-k} \] a metric on ...
Evgeniy A. Timofeev
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FEBS Letters, EarlyView.We present robust protocols for the preparation of supported lipid bilayers (SLBs) incorporating either Salmonella smooth LPS or outer membrane vesicles (OMVs). We use a combination of quartz crystal microbalance with dissipation (QCM‐D) and fluorescence microscopy to both characterize the SLBs of various compositions and to probe their interactions ...
Hudson P. Pace +6 more
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Lacunarity of self-similar and stochastically self-similar sets [PDF]
Transactions of the American Mathematical Society, 1999 Let K K be a self-similar set in
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From mice to humans—divergent strategies for intestinal homeostasis and regeneration
FEBS Letters, EarlyView.Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
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