Two plane geometric graphs are said to be compatible when their union is a plane geometric graph. Let S be a set of n points in the Euclidean plane in general position and let T be any given plane geometric tree whose vertex set is S. The main problem we consider in this work consists of finding a second plane geometric tree T ′ on S, such that T ′ is compatible with T and shares with T a minim...

The definition and main results connected with Gröbner basis, Hilbert series and Anick's resolution are formulated. The method of the infinity behavior prediction of Gröbner basis in noncommu-tative case is presented. The extensions of BERGMAN package for IBM PC compatible computers are described. Let A =< X|R > be a finitely presented associative algebra over field K. Here are the main example...

Even though Privacy concerns (PC) and security concerns (SC) are acknowledged as separate constructs, many studies argue that they are related or, even worse, confused. Building upon the non-overlapping SC and PC dimensions, we propose Internet Users Information Transmission Security Concern (IUITSC) scale. We argue that the scale when used in conjunction with PC scale would cover the entire ga...

The main objective of this paper is to design and develop an automatic vehicle, fully controlled by a computer system. The vehicle designed in the present work can move in a pre-determined path and work automatically without the need of any human operator and it also controlled by human operator. Such a vehicle is capable of performing wide variety of difficult tasks in space research, domestic...

recently, zhang and song [q. zhang, y. song, fixed point theory forgeneralized $varphi$-weak contractions,appl. math. lett. 22(2009) 75-78] proved a common fixed point theorem for two mapssatisfying generalized $varphi$-weak contractions. in this paper, we prove a common fixed point theorem fora family of compatible maps. in fact, a new generalization of zhangand song's theorem is given.

Statistical hypothesis tests are a cornerstone of scientific research. The informative when their size is properly controlled, so the frequency rejecting true null hypotheses (type I error) stays below prespecified nominal level. Publication bias exaggerates test sizes, however. Since scientists can typically only publish results that reject hypothesis, they have incentive to continue conductin...

The high-affinity mammalian brain L-proline transporter (PROT) belongs to the GAT1 gene family, which includes Na- and Cl-dependent plasma membrane carriers for neurotransmitters, osmolites, and metabolites. These transporters couple substrate flux to transmembrane electrochemical gradients, particularly the Na gradient. In the nervous system, transporters clear synapses and help to replenish t...