Abstract Let I be a homogeneous ideal in polynomial ring S . In this paper, we extend the study of asymptotic behavior minimum distance function δ and give bounds for its stabilization point, r , when is an F -pure or square-free monomial ideal. These are related with dimension Castelnuovo–Mumford regularity

Distance function is a main metrics of measuring the affinity between two data points in machine learning. Extant distance functions often provide unreachable values real applications. This can lead to incorrect measure points. paper proposes reachable for KNN classification. The not geometric direct-line It gives consideration class attribute training dataset when Concretely speaking, includes...

this paper deals with the basic notions of k-tautimmersions . these notions come from two special cases; that is, tight and taut immersions. tight and taut based on high and distance functions respectively and their basic notions are normal bundle, endpoint map, focal point, critical normal. we generalize hight and distance functions to cylindrical function and define basic notions of k-taut im...

This paper deals with the basic notions of k-tautimmersions . These notions come from two special cases; that is, tight and taut immersions. Tight and taut based on high and distance functions respectively and their basic notions are normal bundle, endpoint map, focal point, critical normal. We generalize hight and distance functions to cylindrical function and define basic notions of k-taut ...

Transfer functions are fundamentals for direct volume rendering to visualize object through mapping optical properties to the voxel data values. One aspect of direct volume rendering which has received no attention in transfer function design is the use of voxel position in transfer functions. Often, there are features of interest in volume data that are visualized or not depending on their vox...