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Boundary value problems and controllability of linear systems with right invertible operators

Nguyen Van Mau — 1992

CONTENTSIntroduction..........................................................................................................................................................5Preliminaries........................................................................................................................................................7   1. Linear spaces and linear operators..............................................................................................................7   2. Right...

On some properties of three-dimensional minimal sets in 4

Tien Duc Luu — 2013

Annales de la faculté des sciences de Toulouse Mathématiques

We prove in this paper the Hölder regularity of Almgren minimal sets of dimension 3 in 4 around a 𝕐 -point and the existence of a point of particular type of a Mumford-Shah minimal set in 4 , which is very close to a 𝕋 . This will give a local description of minimal sets of dimension 3 in 4 around a singular point and a property of Mumford-Shah minimal sets in 4 .

Hölder regularity of three-dimensional minimal cones in ℝⁿ

Tien Duc Luu — 2014

Annales Polonici Mathematici

We show the local Hölder regularity of Almgren minimal cones of dimension 3 in ℝⁿ away from their centers. The proof is almost elementary but we use the generalized theorem of Reifenberg. In the proof, we give a classification of points away from the center of a minimal cone of dimension 3 in ℝⁿ, into types ℙ, 𝕐 and 𝕋. We then treat each case separately and give a local Hölder parameterization of the cone.

Content-based image retrieval using a signature graph and a self-organizing map

Thanh The VanThanh Manh Le — 2016

International Journal of Applied Mathematics and Computer Science

In order to effectively retrieve a large database of images, a method of creating an image retrieval system CBIR (contentbased image retrieval) is applied based on a binary index which aims to describe features of an image object of interest. This index is called the binary signature and builds input data for the problem of matching similar images. To extract the object of interest, we propose an image segmentation method on the basis of low-level visual features including the color and texture...

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