Results 71 to 80 of about 16,473 (262)
Parametric approximation of piecewise analytic functions
[Popov Vasil A.; Popov V.; Popov Vassil A.; Попов Васил А.]; [Iliev Georgi L.; Илиев Георги Л.]
Popov, Vasil A., Iliev, Georgi L.
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Polynomial Approximation of Functions Analytic in a Disk [PDF]
This result cannot be called completely unexpected, since there are earlier theorems in approximation theory which relate a bounded pth derivative of f to En(f) by a formula similar to (1) (compare Favard's theorem). We propose a new approach, based on Babenko's, yet simpler, and more general.
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Modeling hepatic fibrosis in TP53 knockout iPSC‐derived human liver organoids
This study developed iPSC‐derived human liver organoids with TP53 gene knockout to model human liver fibrosis. These organoids showed elevated myofibroblast activation, early disease markers, and advanced fibrotic hallmarks. The use of profibrotic differentiation medium further amplified the fibrotic signature seen in the organoids.
Mustafa Karabicici +8 more
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Aggressive prostate cancer is associated with pericyte dysfunction
Tumor‐produced TGF‐β drives pericyte dysfunction in prostate cancer. This dysfunction is characterized by downregulation of some canonical pericyte markers (i.e., DES, CSPG4, and ACTA2) while maintaining the expression of others (i.e., PDGFRB, NOTCH3, and RGS5).
Anabel Martinez‐Romero +11 more
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Screening for lung cancer: A systematic review of overdiagnosis and its implications
Low‐dose computed tomography (CT) screening for lung cancer may increase overdiagnosis compared to no screening, though the risk is likely low versus chest X‐ray. Our review of 8 trials (84 660 participants) shows added costs. Further research with strict adherence to modern nodule management strategies may help determine the extent to which ...
Fiorella Karina Fernández‐Sáenz +12 more
wiley +1 more source
Approximation of analytic functions satisfying a Lipschitz condition. [PDF]
Let \(\lambda_\alpha\), \(0 0\) there exists a function \(f_\varepsilon\in \lambda_\alpha\) such that (i) the inner factors of \(f\) and \(f_\varepsilon\) coincide, (ii) \(\Vert f - f_\varepsilon\Vert < \varepsilon\), (iii) \(\vert f_\varepsilon(z)\vert = O(\operatorname{dist}^M(z,E))\) as \(\operatorname{dist}(z,E)\to 0\). The proof is fairly long and
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Urinary LGALS3BP is elevated in bladder cancer patients compared to healthy controls as detected by the 1959 antibody–based ELISA. The antibody shows enhanced reactivity to the high‐mannose glycosylated variant secreted by cancer cells treated with kifunensine (KIF).
Asia Pece +18 more
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Rates of Best Rational Approximation of Analytic Functions
Let \(f\) be holomorphic on a compact set \(E\) in the extended complex plane \(\mathbb{C}\). For any nonnegative integer \(n\) let \(\rho_n\) denote the distance of \(f\) from the class \({\mathcal R}_n\) of all rational functions of order at most \(n\), measured with respect to the uniform norm on \(E\). In a previous paper the author [Mat. Sb.
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A mouse model for vascular normalization and a human breast cancer cohort were studied to understand the relationship between vascular leakage and tumor immune suppression. For this, endothelial and immune cell RNAseq, staining for vascular function, and immune cell profiling were employed.
Liqun He +8 more
wiley +1 more source
Hilbert Space of Complex-ValuedHarmonic Functions in the Unit Disc
The study investigated an extended version of Hilbert space of analytic functions called Hilbert space of complex-valued harmonic functions. It is found that functions in Hilbert space of complex-valued harmonic functions exhibit many properties ...
Tseganesh Getachew Gebrehana +1 more
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