We show that the Depth of an ultraproduct of Boolean Algebras cannot jump over the Depth of every component by more than one cardinal. Consequently we have similar results for the Depth invariant.

We show that Stanley’s Conjecture holds for square free monomial ideals in five variables, that is the Stanley depth of a square free monomial ideal in five variables is greater or equal with its depth.

the present study clarifies the difference between orthographic words and their phonological correspondents in persian writing system via computing orthographic depth of persian writing system. in this article, first, the relationship between orthographic forms of the words and their phonological correspondents is formalized by using context free and context sensitive grapheme-phoneme rules. th...

Depth cameras open new possibilities in fields such as 3D reconstruction, Augmented Reality and video-surveillance since they provide depth information at high frame-rates. However, like any sensor, they have limitations related to their technology. One of them is depth distortion. In this paper, we present a method to estimate depth correction for depth cameras. The proposed method is based on...

Amira Belhedi123 [email protected] Adrien Bartoli2 http://isit.u-clermont1.fr/~ab/ Vincent Gay-Bellile1 [email protected] Steve Bourgeois1 [email protected] Patrick Sayd1 [email protected] Kamel Hamrouni3 [email protected] 1 CEA, LIST, LVIC, F-91191 Gif-sur-Yvette, France. 2 Clermont Université, Université d’Auvergne, ISIT, BP 10448, F63000 Clermont-Ferrand, France. ...