The purpose of this paper is to prove a general fixed point theorem by altering distance for two pairs of hybrid occasionally weakly compatible mappings and to reduce the study of fixed points of pairs of mappings satisfying a contractive condition of integral type at the study of fixed point in symmetric spaces by altering distance satisfying an implicit relation.

Line spectrum pairs (LSPs) are the roots (located in the complex-frequency or -plane) of symmetric and antisymmetric polynomials synthesized using a linear prediction (LPC) polynomial. The angles of these roots, known as line-spectral frequencies (LSFs), implicitly represent the LPC polynomial and hence the spectral envelope of the underlying signal. By exploiting the duality between the time a...

Five commercially available encryption packages for the IBM PC are described and broken.

We reformulate the notion of uncertainty pairs unitary operators within context guessing games and derive an entropic relation for a pair such operators. show how distinguishable are compatible while maximal incompatibility can be connected to bases some subspace which mutually unbiased.

Abstract We study pre-Lie pairs, by which we mean a pair of homotopy Lie algebra and with compatible action. Such pairs provide wealth algebraic structure, in particular can be used to analyze the part pair. Our main application motivation for this development are dg algebras hairy graphs computing rational groups mapping spaces little disks operads. show that twisting certain Maurer–Cartan ele...

Compatible living donor/recipient pair participation (CPP) in kidney exchange (KE) transplantation may substantially increase transplant volumes and significantly mitigate the O blood group donor shortage in KE. Initial ethical analysis did not support CPP for two primary reasons: (1) KE would be "unbalanced," and (2) the possibility of undue influence experienced by the compatible pair living ...

The paper discusses the development of an IBM PC based tool, for calculating train braking distances for various train classes on a rail network. There is discussion on current industry practice and the limitations of that practice, the concept of the tool itself, including the assumptions made, the strategy adopted to minimise the risk of incorrect calculations, and the results of adopting tha...

A further commercially available encryption package for the IBM PC is analysed, and a simple breaking program is described.

Both deoxyribonucleic acid (DNA) and ribonucleic acid (RNA) male-specific phages, with an F-specific host range, inhibited the bacterial mating process of Escherichia coli. DNA phages prevented the formation of mating pairs but had no effect on mating pairs once they were formed. A step in RNA phage infection, prior to RNA penetration, prevented the formation of mating pairs and, in addition, p...