Rafidain Journal of Science

Let G1 and G2 be vertex disjoint connected graphs such that each edge of G1 and G2 is a triangle edge. In this paper, the coefficients of the Wiener polynomial of the tensor product G1G2 are determined in terms of the coefficients of W(G1;x) and W(G2;x). The Wiener polynomial of the tensor product of a path graph and an odd cycle graph is also obtained.

Normally pregnancy especially at late gestation associated with metabolic changes, like changes in maternal storage of adipose tissue, hormonal secretions and lipoproteins concentrations. Cholesterol level is one of these maternal modifications during pregnancy, this maternal adaptation is to ensure fetal growth. 131 pregnant women aged (20- more than 40) years were chosen randomly, to estimate their fasting blood cholesterol every month of gestation. Total cholesterol was determined by colorimetric method which depends on extracting cholesterol by ethyl alcohol and producing coloured compound, which measured by spectrophotometer.
Elevation of blood total cholesterol was noticed during pregnancy. This increase of total cholesterol started from 3rd month up to term.

Condensation of aromatic aldehydes with benzamide affords the corresponding arylidenbenzamide as a new conjugated system . The reaction between these compounds and phenylhydrazine in acidic medium gives the corresponding triazoles.
The new synthesised compounds are characterized by using physical and spectrometric methods .

New bimetallic complexes of the types[M2LCl4],[M2L(en)2Cl4], [M2L(en)2(TP)4], where M=Co(II),Ni(II),Cu(II) and Zn(II), TP =p-aminophenylthiolate were prepared by reacting metal chloride with the ligands 1,1,2,2-tetrakis(p-aminophenylthio)ethylene (L), ethylenediamine (en) and in some case with sodium p-aminophenylthiolate.
The aryl thioether ligand together with the complexes have been characterized on the basis of microanalysis (N and M), infrared spectra,electronic spectra,magnetic and conductivity measurements.

X-ray diffraction analyses and petrographic study of marl samples belonging to the Al-Fat`ha Formation (Middle Miocene) from four selected localities in northern Iraq, revealed the presence of the minerals, carbonates (calcite and dolomite), quartz, plagioclase feldspars and the clay minerals illite, chlorite, kaolinite and montmorillonite. The origin and diagenesis of the non clay and clay minerals are discussed. Clay minerals, fossil contents and associated evaporite sediments revealed that the environment of deposition of marl sediments at the studied localities were hyper-saline and semi-arid marine lagoonal environment.

A distinctive form of insertae sedis cyst is described in detail from samples of Ora, Harur Formations and Unit A in boreholes Kh5/1 and Khleisia-1. It constitute the monotypic base for new genus Angelucysta (type species A mosuliana). The form is associated with spore suite that is clearly representative of Early Carboniferous (Dinantian), so that it is considered as an index fossil for this age.

In this paper an hybrid CG direction and a modified direction of the Storey's projected version of the BFGS Quasi-Newton (QN) update of optimization is investigated theoretically and experimentally.
The new proposed algorithm is compared with. Storey's projected BFGS method on a large number of standard test functions with dimensionality varies between 4 n 1000. The new algorithm is found to be superior to the Storey's projected BFGS method overall but it showed a considerable superiority on some of test functions.

The purpose of this paper is to develop a parallel algorithm for solving unconstrained optimization problems. This parallel algorithm in which several tasks may be executed at the same time in parallel based on the parallel subspaces theorem and it's designed to run on MIMD computing systems.

In this paper a new sampling three-term preconditioned PB algorithm is developed and implemented.
The proposed sampling algorithm runs parallel to the original PCG Method Once a pair {vk, yk} has been computed by the PCG Method the new sampling algorithm examines the search direction and decides the suitable selected search direction for the proposed algorithm. Numerical results have been done for (50) well-known test functions with different dimensions. The new proposed algorithm is very effective and promising in general