New 2-Mercaptobenzimidazole derivatives were synthesized. 4,5-disubsitituted 1,2,4-Triazole compounds 1b-2c were synthesized from 2-(benzylthio) benzimidazole compound a, which was then reacted with (NaH) in dioxane at a temperature of (0-5 C°) to produce the salt of compound a. Then the salt was reacted with ethyl chloro acetate to yield Ethyl 2-(benzylthio) benzimidazole acetate compound b. Compound b was converted to triazole derivatives by two pathways. The first pathway was reacting compound b with semicarbazide, thiosemicarbazide and phenylsemicarbazide in DMSO as a solvent to gain compounds 1b-3b, which were then cyclized by refluxed with 2N (NaOH) to yield 1,2,4-triazole derivatives compounds 4b-6b. The second pathway involved the treatment of compound b with hydrazine hydrate to produce N-acetohydrazide-2-(benzyl thio) benzimidazole c. Compound c was refluxed with carbon disulfide (CS2) in KOH alcoholic solution to obtain the salt compound 1c. The salt was treated with hydrazine hydrate to yield 1,2,4-triazole derivative compound 2c. The newly synthesized compounds b-2c were identified by FTIR, 1H-NMR and 13C-NMR and their physical properties were measured. Furthermore, their anti-microbial activities were tested against two Gram-positive and two Gram-negative bacteria and against one strain of fungi. Also, some of these synthesized compounds were tested for their anti-inflammatory activities.
In this paper, we are mainly concerned with estimating cascade reliability model (2+1) based on inverted exponential distribution and comparing among the estimation methods that are used . The maximum likelihood estimator and uniformly minimum variance unbiased estimators are used to get of the strengths and the stress ;k=1,2,3 respectively then, by using the unbiased estimators, we propose Preliminary test single stage shrinkage (PTSSS) estimator when a prior knowledge is available for the scale parameter as initial value due past experiences . The Mean Squared Error [MSE] for the proposed estimator is derived to compare among the methods. Numerical results about conduct of the considered
... Show More In this paper, we introduce a new type of functions in bitopological spaces, namely, (1,2)*-proper functions. Also, we study the basic properties and characterizations of these functions . One of the most important of equivalent definitions to the (1,2)*-proper functions is given by using (1,2)*-cluster points of filters . Moreover we define and study (1,2)*-perfect functions and (1,2)*-compact functions in bitopological spaces and we study the relation between (1,2)*-proper functions and each of (1,2)*-closed functions , (1,2)*-perfect functions and (1,2)*-compact functions and we give an example when the converse may not be true .