Results 191 to 200 of about 1,209 (211)
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Complete Riemannian manifolds with pointwise pinched curvature
Inventiones Mathematicae, 2000This paper deals with the problem of finding pinching conditions for the compactness of a Riemannian manifold. Let \((M,g)\) be a Riemannian manifold, with \(\dim M>2\) and consider the orthogonal decomposition of the Riemannian curvature: \(R={\mathcal W}+U+V\) where \({\mathcal W}\) denotes the Weyl tensor, while \(U\) are \(V\) are the algebraic ...
Chen, Binglong, Zhu, Xiping
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FinerPCN: High fidelity point cloud completion network using pointwise convolution
Neurocomputing, 2021Abstract 3D scanners often obtain partial point clouds due to occlusion and limitation of viewing angles. Point cloud completion aims at inferring the full shape of an object from an incomplete point set. Existing deep learning models either do not consider local information or easily degrade the sharp details of the input, thereby losing some ...
Yakun Chang, Cheolkon Jung, Yuanquan Xu
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Pointwise topology on completely distributive lattices
Fuzzy Sets and Systems, 1989In the recent years the fuzzy topology has developed considerably. Since all fuzzy sets on a non-empty set form a lattice, the fuzzy topology is a topology on a lattice. Now the author generalizes the theory of fuzzy topology to a theory of pointwise topology on complete, completely distributive lattices.
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The pointwise dimension of self-similar measures in complete metric spaces
Chaos, Solitons & Fractals, 2004For a probability measure \(\mu\) on a complete metric space \(X\), the pointwise dimension of \(\mu\) at \(x \in X\) is given by \[ d_\mu(x):=\lim_{r \to 0} \frac{\log \mu(B(x,r))}{\log r} \] provided that the limit exists. In the paper, the pointwise dimension of self-similar measures is investigated under the condition that the strong open set ...
Chen, Ercai, Küpper, Tassilo
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SIAM Journal on Optimization, 1996
Summary: Necessary and sufficient global optimality conditions are presented for certain non-convex minimization problems subject to inequality constraints that are expressed as the pointwise minimum and sublinear (MSL) functions. A generalized Farkas lemma for inequality systems with MSL functions plays a crucial role in presenting the conditions in ...
Bevil Milton Glover +3 more
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Summary: Necessary and sufficient global optimality conditions are presented for certain non-convex minimization problems subject to inequality constraints that are expressed as the pointwise minimum and sublinear (MSL) functions. A generalized Farkas lemma for inequality systems with MSL functions plays a crucial role in presenting the conditions in ...
Bevil Milton Glover +3 more
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The problem of pointwise completeness in the theory of control of differential-difference systems
Russian Mathematical Surveys, 1994Linear multivariable systems with delays are considered. Relative null- controllability for an arbitrary initial function is defined and a necessary and sufficient condition about this property is presented and proved. Then the concepts of pointwise completeness and pointwise degenerativeness are introduced.
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The Dedekind Completion of C(X) with Pointwise Discontinuous Functions
2016In this paper we show that whenever X is a topological space, which is completely regular and Baire, then the Dedekind completion of C(X), the space of all real continuous functions on X, is the Dedekind complete Riesz space of all pointwise discontinuous functions, where two functions that coincides on a dense set are identified.
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Sbornik: Mathematics, 2011
A boundary value problem and an initial-boundary value problems are considered for a linear functional differential equation of point type. A suitable scale of functional spaces is introduced and existence theorems for solutions are stated in terms of this scale, in a form analogous to Noether's theorem.
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A boundary value problem and an initial-boundary value problems are considered for a linear functional differential equation of point type. A suitable scale of functional spaces is introduced and existence theorems for solutions are stated in terms of this scale, in a form analogous to Noether's theorem.
openaire +1 more source
The Small Ideals in Normal Classes of Pointwise Complete Alagebra
Pure Mathematics, 2021openaire +1 more source
The Hypoidempotent Radicals in Normal Classes of Pointwise Complete Alagebra
Pure Mathematics, 2021openaire +1 more source