In a recent study, a special type of plane overpartitions known as k-rowed plane overpartitions has been studied. The function  denotes the number of plane overpartitions of n with a number of rows at most k. In this paper, we prove two identities modulo 8 and 16 for  the plane overpartitions with at most two rows. We completely specify the  modulo 8. Our technique is based on expanding each term of the infinite product of the generating function of the  modulus 8 and 16 and in which the proofs of the key results are dominated by an intriguing relationship between the overpartitions and the sum of divisors, which reveals a considerable link among these functions modulo powers of 2.

In this study Oscillatoria limnetica and Chroococus minor were isolated ?purified and identification from water canal around Baghdad University Campus. The water of this canals originally from Tigris River. BG-11 culture media was used for their cultivation in suitable laboratory conditions (25c°, 200µE/m2/sec) for 16:8 hrs. Light: dark. Each culture was harvested at the end of exponential phase .Organic solvents used for extraction were Ethanol? Hexane and Methanol 95% to extract the crude active Intracellular and Extracellular substances, and evaporated down to dryness .Antibacterial and antifungal activity of these different extracts were evaluated against 6 strains of gram positive bacteria and gram negative bacteria in additi

Copper oxide nanoparticles (CuO NPs) were synthesized by two methods. The first was chemical method by using copper nitrate Cu (NO3)2 and NaOH, while the second was green method by using Eucalyptus camaldulensis leaves extract and Cu (NO3)2. These methods easily give a large scale production of CuO nanoparticles. X-ray diffraction pattern (XRD) reveals single phase monoclinic structure. The average crystalline size of CuO NPs was measured and used by Scherrer equation which found 44.06nm from chemical method, while the average crystalline size was found from green method was 27.2nm. The morphology analysis using atomic force microscopy showed that the grain size for CuO NPs was synthesized by chemical and green methods were 77.70 and 89.24

     This work includes synthesis of new phenoxazine derivatives containing N-substituted phenoxazine starting from phenoxazine (1).10-nitrosyl phenoxazine was prepared through the reaction of phenoxazine with sodium nitrite to give compound (2), which reacted with zinc in acetic acid to give 10-amino phenoxazine (3). Condensation of compound (3) with benzoyl chloride, isovaleryl chloride and 4-bromophenacyl chloride gave 10-amido phenoxazine derivatives (4-6).

This work comprises the synthesis of new phenoxazine derivatives containing N-substituted phenoxazine starting from phenoxazine (1). Synthesis of ethyl acetate phenoxazine (2) through the reaction of phenoxazine with ethylchloroacetate, which reacted with hydrazine hydrate to give 10-aceto hydrazide phenoxazine (3), then reacted with formic acid to give 10-[N-formyl acetohydrazide] phenoxazine (4). Reaction of compound (4) with phosphorous pentaoxide or phosphorus pentasulphide to gave 10-[N-methylene-1,3,4-oxadiazole] phenoxazine (5) and 10-[N-methylene-1,3,4-thiadiazole] phenoxazine (6).

Series of new derivatives of quinoline-2-one were synthesized ,m-cresol was chosen as the starting material which was reacted with ethyl acetoacetate in presence of conc.sulphuric acid to give 4,7-dimethyl coumarin (I) which treated with nitric acid in the presence of sulpharic acid afforded 4,7-dimethyl-6-nitrocumarin (II) and 4,7-dimethyl-8-nitrocumarin (III) and then the compound (II) was treated with hydrazine hydrate80% to give a new compound 1-amino-4,7-dimethyl-6-nitroquinoline-2(1H)-one (IV).The latter compound was used to synthesize different
compounds via the reaction with aldehydic azo compounds (V-VII) by Schiff base reaction to prouduce compounds(VIII-X), these azo compounds were prepared by reaction of different aromatic

This work includes two steps of synthesis, the first one is the synthesis of indole which was prepared according to literature of the reaction of phenyl hydrazine with acetaldehyde in glacial acetic acid afforded phenyl hydrazone of acetaldehyde , this product was fused with zinc chloride to give the indole.Reaction of cyclohexanone with phenyl hydrazine using the same procedure for the preparing giving 1,2,3,4-Tetrahydrocarbazole.Second step involved synthesis of a series of (17) of mannich bases derivatives of indole and 1,2,3,4-Tetrahydrocarbazle. Mannich reaction involves the condensation of aldehyde usually formaldehyde with different secondary amine and with compound containing an activated hydrogen.The reaction illustrated by the fo

The   platelet  activity  and  some  immunological  aspects  of

coronary heart disease CIID were investigated by employing platelet count and serum levels of IgG,IgM and lgA,C3 and C4.Three groups of  patients were investigated : patients with ischemic heart disease IHD,  patients  with      lliD+hypcrtension  and  patients  with IHD+unstable angina.The results revealed  that the mean of platelets (mm')  was  significantly  reduced   in  IHD+unstable  angina  group

2.72.L I.l2 compared with conrol b'TOUp 8.13±2.72.

With respect to the immunological study, the re;;ults revea

In this paper, a numerical approximation for a time fractional one-dimensional bioheat equation (transfer paradigm) of temperature distribution in tissues is introduced. It deals with the Caputo fractional derivative with order for time fractional derivative and new mixed nonpolynomial spline for second order of space derivative. We also analyzed the convergence and stability by employing Von Neumann method for the present scheme.