In this paper we introduce the idea of the commutator of two fuzzy subsets of a group and study the concept of the commutator of two fuzzy subsets of a group .We introduce and study some of its properties .

The power of advertising is immense. Producers of commercial goods and services routinely pour vast sums into promoting their wares through the advertising media, knowing  that a successful campaign can win them vital market share , and that failure to advertise effectively can have devastating results . The function of advertising is promotional ; to draw our  attention. In order  to achieve this function it must reach its target  audience , then capture that audience with a message that is both attractive and memorable.

         From a linguistic point of view, the language of advertising must be informative, instructive , distinctive and persuasive . It must employ&nb

The Symbolic Interaction of the Kindergarten

The isomerization of n-hexane on platinum loaded acidic zeolite was studied at atmospheric pressure, H2/nC6 molar ratios of 1-4 and temperature range of 240-270ºC. The measured kinetic data were fitted to an equation based on the bifunctional mechanism and by using independently obtained dehydrogenation and adsorption data. The activation energies of protonation (ΔHpro) and the elementary isomerization step (Eact,iso) and as well as the corresponding preexponential factor were simultaneously determined. The observed values of both ΔHpro and Eact,iso are in agreement with the results of quantum-chemical calculations.

Three composite grinding wheel series were prepared using three different ceramic binders . Two of the three series behaved in typical ceramic — type manner in their consolidation behaviour , while the third deviated strongly . The measured mechanical properties behaved in a similar manner . The main reason was found tobe the way the binder material interacts with the SiC — particles . The results are discussed in terms of the rol played by the binder in shaping the final mechanical properties of the composites .

Road traffic accidents (RTAs) are events that suddenly, inadvertently and unexpectedly occur under unforeseen circumstances that involve at least one moving vehicle and result in one or more road users being killed or injured. Unfortunately, Iraqi governorates suffer from higher rates of traffic accident casualties compared with the rates of casualties from terrorist attacks; this situation reveals a serious and growing problem. Road traffic accidents are not easy to eradicate. However, their prevalence can be reduced to the barest minimum via periodic assessments of traffic accident characteristics and the most important aspects for road authorities to consider when designing and evaluating the performance of a road to improve traf

An energy and exergy thermodynamic analysis using EES program was done for a domestic refrigerator working with R-134a using vapor compression refrigeration cycle. The analysis deals with the system component, i.e. compressor, condenser, evaporator and the expansion device. The analysis depends on the entropy generation minimization approach to improve the refrigerator performance by exploring the optimum design points. These design points were derived from three different theories governing the entropy generation minimization using exergy analyzing method. These theories were first applied to find the optimum balance between the hot inner condenser area and the cold inner evaporator area of the refrigerator and between

Ceramic body as a refractory was prepared by using shamoot, which is prepared by firing  kaolin Duekhla at 1450 ºC at 2hr ,Flint clay ,Asbestos fiber(Anthophylite type)and Sodium silicts,Phosphoric acid solution as a binder . After miling, siving ,and mixing ,samples were formed, followed that drying, firing at different temperature.     Phyical ,thermal and mechanical  properties were measured .The conclusion behind the results that the refractory prepared from; 37.5% shamoote,25% Asbestos ,37.5% Flint clay and Phosforic acid solution fired at 1300 ºC  gave a refractory material having  melting temperature ;1490 ºC, thermal shock resistance 7 cycle, thermal conductivity 2.1w/m2.K, apperan

This is a survey study that presents recent researches concerning factional controllers. It presents several types of fractional order controllers, which are extensions to their integer order counterparts. The fractional order PID controller has a dominant importance, so thirty-one paper are presented for this controller. The remaining types of controllers are presented according to the number of papers that handle them; they are fractional order sliding mode controller (nine papers), fuzzy fractional order sliding mode controller (five papers), fractional order lag-lead compensator (three papers), fractional order state feedback controller (three papers), fractional order fuzzy logic controller (three papers). Finally, several conclusions

Chalcopyrite thin films were one-step potentiostatically deposited onto stainless steel plates from aqueous solution containing CuSO4, In2(SO4)3 and Na2S2O3.The ratio of (In3+:Cu2+) which involved in the solution and The effect of cathodic potentials on the structural had been studied. X-ray diffraction (XRD) patterns for deposited films showed that the suitable ratio of (In3+:Cu2+) =6:1, and suitable voltage is -0.90 V versus (Ag/AgCl) reference electrode