Results 211 to 220 of about 71,302 (258)

Assessment of upper airway and temporomandibular joint changes in growing patients with Class II Division 1 malocclusion, treated with the Twin Block appliance: a retrospective cone-beam computed tomography study. [PDF]

Arch Craniofac Surg
Anagnostopoulos I, Pattanaik S, Zaky A, El-Motayam A, Shetty SR, Sadek MM.   +5 more
europepmc   +1 more source

CBCT based investigation of furcation groove's prevalence, depth, length and associated dentin thickness in Maxillary First Permanent Premolars in Saudi Sub-population. [PDF]

BMC Oral Health
Shaikh SS, Javed MQ, Ali A, Ahmad Z, Almohimeed K, Abulhamael AM, Farah RI.   +6 more
europepmc   +1 more source

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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 ...
Martin, D. H., Watkins, G. G.
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Tangent Cones and Convexity

Canadian Mathematical Bulletin, 1976
The study of general multiplier theorems (Kuhn-Tucker Conditions) for constrained optimization problems has led to extensions of the notion of a differentiable arc. Abadie [1], Varaiya [10], Guignard [5], Zlobec [11] and Massam [12] investigated the so called cone of tangent vectors to a point in a set for optimization purposes.
Borwein, J., O'Brien, R.
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Comparing New Notions of Tangent Cones

Journal of the London Mathematical Society, 1989
New notions of tangent cones which have been recently introduced are related. These notions are variants of the Clarke's strict tangent cone and give rise to corresponding generalized derivatives. They are closed, convex and larger than the Clarke strict tangent cone, what are desirable features.
Jofré, Alejandro, Penot, Jean-Paul
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The Quantificational Tangent Cones

Canadian Journal of Mathematics, 1988
Nonsmooth analysis has provided important new mathematical tools for the study of problems in optimization and other areas of analysis [1, 2, 6-12, 28]. The basic building blocks of this subject are local approximations to sets called tangent cones.Definition 1.1. Let E be a real, locally convex, Hausdorff topological vector space (abbreviated l.c.s.).
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Tangent Cones and Tangent Sets

2014
Tangent cones of first-order and tangent cones and tangent sets of higher-order play a very important role in set-valued optimization. For instance, derivatives and epiderivatives of set-valued maps are commonly defined by taking tangent cones and tangent sets of graphs and epigraphs of set-valued maps. Moreover, properties of tangent cones and tangent
Akhtar A. Khan, Christiane Tammer, Constantin Zălinescu   +2 more
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On regular tangent cones

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Non‐archimedean stratifications of tangent cones

Mathematical Logic Quarterly, 2017
AbstractWe study the impact of a kind of non‐archimedean stratifications (t‐stratifications) on tangent cones of definable sets in real closed fields. We prove that such stratifications induce stratifications of the same nature on the tangent cone of a definable set at a fixed point.
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Intersection multiplicities and tangent cones

Mathematical Proceedings of the Cambridge Philosophical Society, 1979
The following result has at least the appeal of intuitive plausibility. Let U and V be subvarieties of an algebraic variety X; let x ∈ X be an isolated point of the intersection of U and V, and let I(X, U. V, x) denote the intersection multiplicity (in some sense to be made precise) of U and V at x.
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