On multiple pattern avoiding set partitions

We study classes of set partitions determined by the avoidance of multiple patterns, applying a natural notion of partition containment that has been introduced by Sagan. We say that two sets S and T of patterns are equivalent if for each n the number of partitions of size n avoiding all the members of S is the same as the number of those that avoid all the members of T.     

In situ palladium/N-heterocyclic carbene complex catalyzed carbonylative cross-coupling reactions of arylboronic acids with 2-bromopyridine under CO pressure: efficient synthesis of unsymmetrical arylpyridine ketones and their antimicrobial activities

Transition Metal Chemistry - The carbonylative Suzuki cross-coupling of 2-bromopyridine with various boronic acids to prepare unsymmetrical arylpyridine ketones has been carried out using...     

MHD mixed convection in an inclined cavity containing adiabatic obstacle and filled with Cu–water nanofluid in the presence of the heat generation and partial slip

Journal of Thermal Analysis and Calorimetry - In the present paper, the performance of the graphene oxide in the solar steam generation has experimentally been examined. For this purpose, a setup...     

Comments on Salem polynomials

Archiv der Mathematik - We strengthen a sufficient condition, due to R.S. Vieira, for a (reciprocal) polynomial $$R(x)=(x-\alpha _{1})(x-\alpha _{1}^{-1})\cdots (x-\alpha _{s})(x-\alpha...     

Electro-Optical and Thermophysical Characterization of Poly (Tripropylene Glycol Di-Acrylate)/Liquid Crystal Composite Materials Prepared by Polymerization Induced Phase Separation

Abstract

This work examines the development and characterization of tripropylene glycol di-acrylate/liquid crystal E7 (TPGDA/LC E7) PDLCs composite materials (polymer-dispersed-liquid-crystals). These systems were produced by UV irradiation photopolymerization (PIPS) of a mixture of the monomer tripropylene glycol di-acrylate (TPGDA) and the liquid crystal E7 (LC E7, a mixture of three cyano-biphenyl and one cyano-terphenyl LCs), in the presence of 2?wt% (of the acrylate/E7 mixture) of a photoinitiator. Electro-optical, thermal and optical characterization was used to understand the effect of the LC concentration on the electro-optical and thermo-physical properties of these materials. Polarizing optical microscopy (POM) and differential scanning calorimetry (DSC) studies were performed to observe the system morphology and to determine the transition temperatures of these materials, both as a function of their composition. The findings showed a slight variation of the nematic-isotropic transition temperature, T_NI, of the LC E7 and of the glass transition temperature, T_g, of the TPGDA polymeric matrix as a function of the mass percentage of the LC E7. A very good electro-optical response for the composition 30/70?wt % TPGDA/LC E7 was obtained.     

Applications of Poly(Ethylene)Glycol (PEG) in Separation Science

The wide range of applications of poly(ethylene)glycol (PEG) in primarily chromatography and other closely related analytical methods has been reviewed. PEG has been used as mobile phase modifier in capillary electrophoresis (CE) as well as ion exchange, size exclusion, and hydrophobic interaction liquid chromatography (LC) methods. Generally in the presence of PEG, LC retention of macromolecules is altered and stability of their structure is maintained. PEG was effective in CE as a permanent coating for fused silica capillaries to shield free silanol groups that can cause protein adsorption to the wall resulting in band broadening and low recovery of the separated proteins. In gas chromatography, PEG-based stationary phases were applied for separation of polar analytes. PEG could also serve as an extraction medium in solid phase microextraction and aqueous two phase systems. Selected analytical applications, primarily LC and CE, involving PEG to facilitate the determination of either small molecules or macromolecules such as proteins in their native form are discussed and representative figures provided.