Results 111 to 120 of about 341,235 (326)
Sylvester-Gallai type theorems for quadratic polynomials
Discrete Analysis, 2020 Sylvester-Gallai type theorems for quadratic polynomials, Discrete Analysis 2020:13, 34 pp. The [Sylvester-Gallai theorem](https://en.wikipedia.org/wiki/Sylvester%E2%80%93Gallai_theorem) asserts that given $n$ points in a plane that are not contained in
Amir Shpilka
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Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, EarlyView.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
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Contributions to Plasma Physics, EarlyView.ABSTRACT A methodological study is presented on a noninvasive photometric diagnostic for determining trends in electron density and sheath dynamics in single (1f) and a dual (2f) radio frequency capacitively coupled (CCRF) argon plasmas. The 1f discharges are operated at 13.56 and 27.12 MHz, respectively, while the 2f discharge is driven by both ...
Daniel Zuhayra +3 more
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Lost in Translation: Harmonizing Terminology and Defining Mathematical Tools for Panel Optimization
Cytometry Part A, EarlyView.ABSTRACT Spectral flow cytometry has evolved from a contentious idea into a mainstay of high‐parameter single‐cell analysis, yet its vocabulary (and the statistical reasoning behind it) remains a patchwork of overlapping, sometimes contradictory terms.
Bartek Rajwa, Mario Roederer
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Study on fracture parameter calibration and failure characteristics of rock with hole and crack
Deep Underground Science and Engineering, EarlyView.The SIF and plastic zone equations for a single hole and crack have been derived. The model's failure state leads to the identification of four types of cracks. The plastic zone increases with increased brittleness and decreased crack length. Abstract Cracks within the surrounding rock of roadways significantly affect their stability and failure ...
Shaochi Peng, Wensong Wang
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Review and prospects of shear test of bolted rock joints
Deep Underground Science and Engineering, EarlyView.The laboratory shear test equipment, test method, and numerical simulation of bolted rock joints were summarized. The shortcomings and limitations of the current research were analyzed, and the research prospects were proposed. Abstract Rock bolting is a critical approach in geotechnical engineering for supporting weak rocks.
Shulin Ren +4 more
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International Journal for Numerical Methods in Fluids, EarlyView.We introduce new efficient and accurate first order finite volume‐type numerical schemes, for the non‐conservative one‐dimensional blood flow equations with transport, taking into account different velocity profiles. The framework is the flux‐vector splitting approach of Toro and Vázquez‐Cendón (2012), that splits the system in two subsystems of PDEs ...
Alessandra Spilimbergo +3 more
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Método para Obtener los Elementos de las Secciones Cónicas por Medio de Derivación Implícita
TecnoLógicas, 2007 As a result of the research project "Strategies for differential calculus meaningful teaching and learning", this paper shows an alternative method to find simplified expressions to determine coordinates and equations for conical sections with focal axis
María C. González-Mazuelo +1 more
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Some results from algebraic geometry over Henselian real valued fields [PDF]
, 2013 Krzysztof Jan Nowak
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Limnology and Oceanography: Methods, EarlyView.Abstract The inverse problem in remote sensing of aquatic environment consists in retrieving optically significant constituents (OSCs) from a spectral measurement of the remote sensing reflectance (Rrs$$ {R}_{\mathrm{rs}} $$).Optically significant constituent includes chlorophyll a concentration (Chl a$$ Chl\ a $$), a proxy of phytoplankton biomass ...
Soham Mukherjee +2 more
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