Using methods of R.J.Tauer [13] we exhibit an uncountable family of singular masas in the hyperfinite II1 factor R all with Pukánszky invariant {1}, no pair of which are conjugate by an automorphism of R. This is done by introducing an invariant Γ(A) for a masa A in a II1 factor N as the maximal size of a projection e ∈ A for which Ae contains non-trivial centralising sequences for eNe. The mas...

For an upper semi-continuous set-valued mapping from one topological space to another and for a lower semi-continuous function defined on the product of these spaces, Berge’s theorem states lower semi-continuity of the minimum of this function taken over the image sets. It assumes that the image sets are compact. For Hausdorff topological spaces, this paper extends Berge’s theorem to set-valued...

We present two techniques to improve landmark localization in images from partially annotated datasets. Our primary goal is to leverage the common situation where precise landmark locations are only provided for a small data subset, but where class labels for classification or regression tasks related to the landmarks are more abundantly available. First, we propose the framework of sequential ...

where the supremum is taken over all open balls B in R which contain x. The supremum may be +∞, so that f ∗ is actually a (nonnegative) extended real-valued function. This is sometimes referred to as the uncentered maximal function, and there are variants defined in terms of balls centered at x, or using cubes instead of balls. A nice feature of f (x) is that it is upper semicontinuous, which i...

The participating approach predicts whether a tweet, which is accompanied by multimedia content (image/video), is trustworthy (real) or deceptive (fake). We combine two different methods a) one using a semi-supervised learning scheme that leverages the decisions of two independent classifiers to produce a decision and b) one using textual patterns to extract claims about whether a post is fake ...

abstract earthworms are an important component of soil fauna, and play a crucial role in the improvement of soil properties. however, very little is known of the interactive influence of earthworms and organic materials on soil enzyme activities, particularly in arid and semi-arid soils. the low organic matter content and the significant role of earthworms in stimulating microbiological and bio...

abstract erosion and sedimentation are the most complicated problems in hydrodynamic which are very important in water-related projects of arid and semi-arid basins. for this reason, the presence of suitable methods for good estimation of suspended sediment load of rivers is very valuable. solving hydrodynamic equations related to these phenomenons and access to a mathematical-conceptual model ...

depth of frost penetration is one of the main indices in agriculture, civil and transportation engineering. soil temperature is a function of several factors including: topography, solar radiation, air temperature, moisture content and other physical properties of soil such as thermal capacity, coefficient of heat conductivity, and specific heat. the main objective of the present paper is to de...