The nearest point problem (NPP), i.e., finding the closest points between two disjoint convex hulls, has two classical solutions, the Gilbert–Schlesinger–Kozinec (GSK) and Mitchell–Dem’yanov–Malozemov (MDM) algorithms. When the convex hulls do intersect, NPP has to be stated in terms of reduced convex hulls (RCHs), made up of convex pattern combinations whose coefficients are bound by a mo1 val...

The present study aimed to evaluate the effects of dietary soybean hull supplementation on the growth performance and ammonia gas emission from excreta of fattening pigs. Six crossbreed (M×Y×B) fattening pigs were assigned to two dietary treatments, as control (no soybean hulls added) and experiment (10% soybean hulls added) groups. There was no significant difference in the results of growth p...

For a finite connected graph let be the spectral radius of its universal cover. We prove that for any graph of average degree and derive from it the following generalization of the Alon Boppana bound. If the average degree of the graph after deleting any radius ball is at least , then its second largest eigenvalue in absolute value is at least for some absolute constant . This result is tight i...

The main theorem states that if K is a finite CW-complex with finite fundamental group G and universal cover homotopy equivalent to a product of spheres X, then G acts smoothly and freely on X×Sn for any n greater than or equal to the dimension of X. If the G-action on the universal cover of K is homologically trivial, then so is the action on X × Sn. Ünlü and Yalçın recently showed that any fi...

Buckwheat hulls, due to their high content of phenolic compounds, could be used as a promising food ingredient, the use which would reduce waste generated during production buckwheat groats. The aim this study was investigate influence hull extracts on quality chicken meatballs. Meatballs were produced according three different treatments: without (Control) and with water (WE) ethanolic (EE) hu...