Results 11 to 20 of about 10,083 (197)
Note on the product of n inhomogeneous linear forms
Journal of Number Theory, 1972 AbstractIt is proved that if K is a convex body in euclidean n-space with volume V(K), and f(x) is the distance function of K, and t > 0 is such that V(tK) = 2n−1, then given any real number a, there exists an integral point x for which either (i) f(x + a) ⩾ t, or (ii) f(x) ⩾ t and x 0. Several conclusions are drawn. For example, if Li(x), i = 1, 2, 3
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Sets of inhomogeneous linear forms can be not isotropically winning [PDF]
Moscow Journal of Combinatorics and Number Theory, 2019 13 pages, 2 ...
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Inhomogeneous approximation for systems of linear forms with primitivity constraints
Mathematische ZeitschriftWe study (inhomogeneous) approximation for systems of linear forms using integer points which satisfy additional primitivity constraints. The first family of primitivity constraints we consider were introduced in 2015 by Dani, Laurent, and Nogueira, and are associated to partitions of the coordinate directions.
Felipe Ramirez
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On the product of two inhomogeneous linear forms.
Journal Fur Die Reine Und Angewandte Mathematik, 1954 exaly +2 more sources
On the density at integer points of a system comprising an inhomogeneous quadratic form and a linear form [PDF]
Mathematische Zeitschrift, 2021 We prove an analogue of the Oppenheim conjecture for a system comprising an inhomogeneous quadratic form and a linear form in $3$ variables using dynamics on the space of affine lattices.
Bandi, Prasuna, Ghosh, Anish
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Frontiers in Earth Science, 2022 The problem of tropical cyclone rapid intensification is reduced to a potential vorticity (PV) equation and a second order, inhomogeneous, partial differential equation for the azimuthal wind.
Wayne H. Schubert, Richard K. Taft
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Investigation of Fractal Carbon Nanotube Networks for Biophilic Neural Sensing Applications
Nanomaterials, 2021 We propose a carbon-nanotube-based neural sensor designed to exploit the electrical sensitivity of an inhomogeneous fractal network of conducting channels.
Leo A. Browning +9 more
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Exact solution of the Couette–Poiseuille type for steady concentration flows
Учёные записки Казанского университета: Серия Физико-математические науки, 2022 This article presents a new exact solution for predicting the properties of the velocity field, pressure, and impurity distribution in steady shear flows of viscous incompressible fluids in an extended horizontal layer.
N.V. Burmasheva, E.Yu. Prosviryakov
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Physical Review Research, 2023 We demonstrate the Doppler laser cooling of ^{40}Ca^{+} ions confined in a segmented linear Paul trap in the presence of a strong quadrupolar magnetic field generated by two permanent ring magnets.
Christian Mangeng +3 more
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Технологія і техніка друкарства, 2022 The article presents the basics of the method of correlation spatial-frequency filtering of maps of phase distributions of polyethylene films. Using the method of statistical analysis of the structure of spatial-frequency filtered polarization maps of ...
Христина Вікторівна Фельде +5 more
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