Results 231 to 240 of about 86,771 (264)
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American Journal of Mathematics, 1994
The aim of the paper is to give a definition of toric singularity in the most general context without referrings neither to the ambient variety of toroidal embeddings nor to a base field or scheme. At first the author recalls the notion of logarithmic structure on a scheme due to Fontaine and Illusie [see the author in: Algebraic Analysis, Geometry ...
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The aim of the paper is to give a definition of toric singularity in the most general context without referrings neither to the ambient variety of toroidal embeddings nor to a base field or scheme. At first the author recalls the notion of logarithmic structure on a scheme due to Fontaine and Illusie [see the author in: Algebraic Analysis, Geometry ...
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Ophthalmic and Physiological Optics, 1982
Abstract Theory is derived for the calculation of the volume of type‐ and barrel‐form torie lenses. The integral produced is evaluated using an approximate method of integration. Differences between the two volumes are considered insignificant in the corner of spectacle lens manufacture.
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Abstract Theory is derived for the calculation of the volume of type‐ and barrel‐form torie lenses. The integral produced is evaluated using an approximate method of integration. Differences between the two volumes are considered insignificant in the corner of spectacle lens manufacture.
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Acta Mathematica Sinica, English Series, 2007
Let \(K\) be a field complete with respect to a non-Archimedean valuation, with integral subring \(R\) and residue characteristic~\(p\). The authors mimic the usual construction of toric varieties so as to get rigid spaces: for a convex rational polyhedral cone \(\sigma\in N\otimes{\mathbb R}\), where \(N\cong {\mathbb Z}^n\) and \(M=N^\vee\), they put
Hsie, Bingyong, Liang, Zhibin
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Let \(K\) be a field complete with respect to a non-Archimedean valuation, with integral subring \(R\) and residue characteristic~\(p\). The authors mimic the usual construction of toric varieties so as to get rigid spaces: for a convex rational polyhedral cone \(\sigma\in N\otimes{\mathbb R}\), where \(N\cong {\mathbb Z}^n\) and \(M=N^\vee\), they put
Hsie, Bingyong, Liang, Zhibin
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Applied Optics, 1984
Toric unstable resonators consisting of two annular mirrors of toroidal shape are analyzed using geometrical, diffractive, and asymptotic theory. Geometrical modes and eigenvalues are derived using nonuniform magnification theory. The eigenvalues are identical to those for strip resonators, while the mode intensities include a 1/r dependence ...
T R, Ferguson, M E, Smithers
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Toric unstable resonators consisting of two annular mirrors of toroidal shape are analyzed using geometrical, diffractive, and asymptotic theory. Geometrical modes and eigenvalues are derived using nonuniform magnification theory. The eigenvalues are identical to those for strip resonators, while the mode intensities include a 1/r dependence ...
T R, Ferguson, M E, Smithers
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Toric Modifications of Free Toric Varieties
2004We study the effect of the toric modifications, described e.g. in [13], on a certain class of complete intersection toric varieties. The construction is based on the notion of Newton polyhedron.
ASSI A, BARILE, Margherita
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Advances in Computational Mathematics, 2002
A rational surface patch generalizing the classical Bézier surface is defined. It is associated with a convex polygon with vertices at integer coordinates. The main properties of toric patches: multisided forms, singular corner points, a wider variety of implicit degrees.
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A rational surface patch generalizing the classical Bézier surface is defined. It is associated with a convex polygon with vertices at integer coordinates. The main properties of toric patches: multisided forms, singular corner points, a wider variety of implicit degrees.
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Toric Varieties and Toric Resolutions
2000This paper is an introduction to toric varieties and toric resolutions. We begin with basic definitions and examples, and then cover standard topics in toric geometry, including fans, support functions, and ampleness criteria. The paper also explores alternate constructions of toric varieties and nonnormal toric varieties. Then we turn our attention to
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Current Opinion in Ophthalmology, 1992
Astigmatism is a common refractive error found in a large percentage of patients who wear contact lenses. Since 1979, soft toric contact lenses have been available to correct for refractive astigmatism. Most of the original soft toric lenses had the correcting optical strength on the front surface, but more recently, soft toric lenses have been ...
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Astigmatism is a common refractive error found in a large percentage of patients who wear contact lenses. Since 1979, soft toric contact lenses have been available to correct for refractive astigmatism. Most of the original soft toric lenses had the correcting optical strength on the front surface, but more recently, soft toric lenses have been ...
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The association of comfort and vision in soft toric contact lens wear
Contact Lens and Anterior Eye, 2021Carole Maldonado-Codina +2 more
exaly