Results 21 to 30 of about 6,991,423 (313)
Some exceptional sets of Borel–Bernstein theorem in continued fractions [PDF]
Let [a1(x),a2(x),a3(x),…]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$
Lulu Fang, Jihua Ma, Kunkun Song
semanticscholar +1 more source
On the Exceptional Sets of Integral Quadratic Forms [PDF]
A collection $\mathcal S$ of equivalence classes of positive definite integral quadratic forms in $n$ variables is called an $n$-exceptional set if there exists a positive definite integral quadratic form which represents all equivalence classes of ...
W. Chan, Byeong-Kweon Oh
semanticscholar +1 more source
On exceptional sets in the metric Poissonian pair correlations problem [PDF]
Let $$\left( a_{n}\right) _{n}$$ann be a strictly increasing sequence of positive integers. Recent works uncovered a close connection between the additive energy $$E\left( A_{N}\right) $$EAN of the cut-offs $$A_{N}=\left\{ a_{n}\,{:}\,\,n\le N\right ...
T. Lachmann, Niclas Technau
semanticscholar +1 more source
Logarithmic derivative estimates of meromorphic functions of finite order in the half-plane
We established new sharp estimates outside exceptional sets for of the logarithmic derivatives $\frac{d^ {k} \log f(z)}{dz^k}$ and its generalization $\frac{f^{(k)}(z)}{f^{(j)}(z)}$, where $f$ is a meromorphic function $f$ in the upper half-plane, $k>j ...
I.E. Chyzhykov, A.Z. Mokhon'ko
doaj +1 more source
Chapter 7: Exceptional uses of the negative ??? l?)
From text: This chapter sets out to discuss briefly some exceptional uses of the negative ? l?).
F. P. J. Snyman
doaj +3 more sources
THE EXCEPTIONAL SETS ON THE RUN-LENGTH FUNCTION OF β-EXPANSIONS [PDF]
Let β > 1 and the run-length function rn(x,β) be the maximal length of consecutive zeros amongst the first n digits in the β-expansion of x ∈ [0, 1].
Lixuan Zheng, Min Wu, Bing Li
semanticscholar +1 more source
Structure of the set of Borel exceptional vectors for entire curves. II
We have obtained a description of structure of the sets of Picard and Borel exceptional vectors for transcendental entire curve in some sense. We consider only $p$-dimensional entire curves with linearly independent components without common zeros.
A.I. Bandura, Ya.I. Savchuk
doaj +1 more source
On the geometry of thin exceptional sets in Manin's Conjecture [PDF]
Manin's Conjecture predicts the rate of growth of rational points of a bounded height after removing those lying on an exceptional set. We study whether the exceptional set in Manin's Conjecture is a thin set.
Brian Lehmann, Sho Tanimoto
semanticscholar +1 more source
The proposed methodology presents a comprehensive analysis of soft sensor modeling techniques for air ozone prediction. We compare the performance of three different modeling techniques: LR (linear regression), NN (neural networks), and RFR (random ...
Zheng Zhou, Cheng Qiu, Yufan Zhang
doaj +1 more source
Introduction: The Exceptional Responders Initiative (ERI) at the National Cancer Institute attempts to correlate unusually good outcomes in patients with cancer with genetic targets in tumors and the therapies the patients received.
Oluwadamilola Olaku +8 more
doaj +1 more source

