In this paper, we introduce a new type of compactness which is called "-ccompactness". Also, we study some properties of this type of compactness and the relationships among it and compactness, -compactness and c-compactness

Tn   t·  p.a,p r        We hae  reported it;vestigations O:U   the·  effeot of

simtHtaneous s·ubs'tituti9n   of  :Pb . a;t tbe,1'1-based .IJPercqndl,lctor was·

prepar.d by adcling; an .amoun· 0f Pb t. the TIJ-PbxBa;iCa2CuaOo'ti cor:npound. The: usu;d solid'7state  teactin  meJ;}Jo.d                                                        &nb

     This paper concerned with estimation reliability (­ for K components parallel system of the stress-strength model with non-identical components which is subjected to a common stress, when the stress and strength follow the Generalized Exponential Distribution (GED) with unknown shape parameter α and the known scale parameter θ (θ=1) to be common. Different shrinkage estimation methods will be considered to estimate ­ depending on maximum likelihood estimator and prior estimates based on simulation using mean squared error (MSE) criteria. The study approved that the shrinkage estimation using shrinkage weight function was the best.

     In this paper, we introduce new definitions of the - spaces  namely the    - spaces  Here,  and  are natural numbers that are not necessarily equal, such that . The space  refers to the n-dimensional Euclidean space,  refers to the quaternions set and  refers to the N-dimensional quaternionic space. Furthermore, we establish and prove some properties of their elements. These elements are quaternion-valued N-vector functions defined on , and the  spaces  have never been introduced in this way before.

 A biological experiment was done in the green house of Biology Department, college of Education (Ibn – AL haitham), Baghdad university, in pots (2Kg size), for growth season 2009, to study the effect of two concentrations of gibberellic acid which was (50) and (100) ppm, and two levels of Diamonium phosphate fertilizer which was(0.16) and (0.32) gm/2kg pot which equal (40) and (80) kg/d, in growth of root of one lentil cultivar (AL- Baraka), upon compeletely randomized design with three replications. The results showed that there was a significant increase in (root’s length, volumes of roots, fresh and dry weights, number of nodules, and the percents of nitrogen and protein), by increasing of gibberellic acid concentr

This paper concentrates on employing the -difference equations approach to prove another generating function, extended generating function, Rogers formula and Mehler’s formula for the polynomials , as well as thegenerating functions of Srivastava-Agarwal type. Furthermore, we establish links between the homogeneous -difference equations and transformation formulas.

   In this paper, a new class of sets, namely - semi-regular closed sets is introduced and studied for topological spaces. This class properly contains the class of semi--closed sets and is property contained in the class of pre-semi-closed sets. Also, we introduce and study srcontinuity and sr-irresoleteness. We showed that sr-continuity falls strictly in between semi-- continuity and pre-semi-continuity.

In modules there is a relation between supplemented and Ï€-projective semimodules. This relation was introduced, explained and investigated by many authors. This research will firstly introduce a concept of "supplement subsemimodule" analogues to the case in modules: a subsemimodule Y of a semimodule W is said to be supplement of  a subsemimodule X if it is minimal with the property X+Y=W. A subsemimodule Y is called a supplement subsemimodule if it is a supplement of some subsemimodule of W. Then, the concept of supplemented semimodule will be defined as follows: an S-semimodule W is said to be supplemented if every subsemimodule of W is a supplemen