The periodicity of the genus sequences of the heaps of finite quaternary games are examined. While the truncated genus sequence of the heaps of finite quaternary games becomes periodic, this is not true for the genus sequence in general. This contrasts with the known result that the genus sequence of the heaps of all finite subtraction games, a subset of finite quaternary games, becomes periodic.

We report synthesis of surface-active quaternary amino polyfluorosiloxanes. Hydrosilation of silanic hydrogen containing polyfluorosiloxanes with olefinic epoxides, in the presence of a platinum–divinyltetramethyldisiloxane complex gave epoxy polyfluorosiloxanes. These, on further reaction with various amines followed by quaternization, gave quaternary amino polyfluorosiloxanes. The quaternary ...

In this paper, we propose two new construction methods for quaternary Hadamard matrices. By the first method, which is applicable for any positive integer n, we are able to construct a quaternary Hadamard matrix of order 2 from a binary sequence with ideal autocorrelation. The second method also gives us a quaternary Hadamard matrix of order 2 from a binary extended sequence of period 2 − 1, wh...

New amphiphilic ABC triblock copolymers have been designed and self-assembled into water-dispersible and biodegradable polymer micelles, which exhibit good antibacterial activities without quaternary ammonium moieties or the loading of any external antibiotics due to the increased local concentration of cationic charge in the polymer micelles compared to the un-self-assembled individual polymer...

The antibacterial effect of 11 new commercially manufactured disinfectants on clinical isolates of Salmonella typhimurium DT104, Serratia marcescens and Pseudomonas aeruginosa was studied. The substances tested represented six pure quaternary ammonium substances (QAS) and five QAS combined with other ingredients. The antibacterial efficacy was characterized by influencing the growth of bacteria...

We show that a quaternary Jordan derivation on a quaternary Banach algebra associated with the equation f( x+ y + z 4 ) + f( 3x− y − 4z 4 ) + f( 4x+ 3z 4 ) = 2f(x) . is satisfied in generalized Hyers–Ulam stability.

Pentaerythritol/quaternary ammonium eutectic mixture as an ionic solvent: the quaternary ammonium cations can be easily controlled to exert their structure-directing effect in ionothermal synthesis of aluminophosphate microporous materials.