Results 271 to 280 of about 380,078 (313)

Increasing cones, recession cones and global cones

Optimization, 2000
In this paper, we discuss and compare various cones used in the economics literature to analyze arbitrage in general equilibrium models with short seling. Our main result is that under certain conditions on an economic model, the closure of the increasing cone and the closure of the global cone are both equal to the arbitrage cone, the recession cone ...
Monteiro, P. K., Page Junior, Frank H., Wooders, Myrna Holtz   +2 more
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On Cone-Efficiency, Cone-Convexity and Cone-Compactness

SIAM Journal on Applied Mathematics, 1978
The properties of efficient (admissible) points of subsets of $R^n $ are discussed in the case when the space is ordered by a convex cone. It is demonstrated that the notion of cone-compactness (a generalization of compactness) is sufficient to guarantee the existence of an efficient point.
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Cores of Tangent Cones and Clarke's Tangent Cone

Mathematics of Operations Research, 1985
It is known that Clarke's tangent cone at any point of any subset of Rn is always both unique and convex. By contrast, nearly all other notions of convex tangent cone in the literature are monotone in the sense that if a convex cone K is a tangent cone at a point x0 of a set C ⊆ Rn, then K′ ⊆ K, C ⊆ C′ automatically implies that K′ is a tangent cone ...
D. H. Martin, G. G. Watkins
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Cones, Dual Cones

1972
We now proceed to a systematic study of cones — sets of a special type which will play an important role in the sequel.
Igor Vladimirovich Girsanov, B. T. Poljak   +1 more
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Spatial extent of rod-cone and cone-cone interactions for flicker detection

Vision Research, 1986
Over a large range of light adaptation levels, sensitivity to 25 Hz flicker improves as the light level of the background increases. Using small background discs and annular surrounds, this effect was shown to be mediated by the surround and not the average luminance of the test region, in agreement with recent reports.
N J, Coletta, A J, Adams
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The cone degenerations

Documenta Ophthalmologica, 1973
Retinal abnormalities characterized by a severe diffuse cone abnormality (as defined by the ERG) or by pronounced focal macular cone involvement (as defined by color vision testing) were discussed in this report. Data from 38 patients with diffuse cone abnormalities and seven patients who initially had only pronounced focal macular cone involvement ...
A E, Krill, A F, Deutman, M, Fishman
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VI.—“Cone-in-Cone.”

Geological Magazine, 1885
In the June Number of the Geological Magazine an abstract is given of a paper on Cone-in-cone, read by Mr. John Young before the Geological Society of Glasgow, in which he advances the theory that this peculiar structure is caused by the escape of gases.
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On the Intersection of a Clarke Cone with a Boltyanskii Cone

SIAM Journal on Control and Optimization, 2007
We provide an example of two closed sets $S_1,S_2\subset\R^4$ such that $S_1\cap S_2=\{0\}$. Yet, at the origin, a Boltyanskii tangent cone $C_1$ to $S_1$ and the Clarke tangent cone $C_2$ to $S_2$ are strongly transversal. This settles a question originally proposed by H. Sussmann.
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On Semicomplete Cones

Positivity, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The color cone

Journal of the Optical Society of America A, 2015
While the notion of a color cone can be found in writings of Maxwell, Helmholtz, Grassmann, and other scientists of the nineteenth century, it has not been clearly defined as yet. In this paper, the color cone is understood as the set of points in the cone excitation space produced by all possible lights.
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