Tow   results  are  proved.  The  first  gives necessary  and   ullicient

conditions for a permutation group to have the prope1ty that each of its rational - valued character can be written as (integral) linear combination of characters induced from the principal characters of certain subgroup. The mher presents that this property is extendable to direct product of groups.

Examples give.

The present investigation revealed cytological variations for six species (Eruca sativa, Sisymbirium irio, Diplotaxis harra, Erucaria hispanica, Schimpera Arabica and Brassica tournefortii ) belong to the Brassicaceaefamily.The flower buds were collected from Al-Habania lake that located in Al-Anbar-Iraq. Using iron-acetocarmine squash technique in anther-smear studies which revealed a chromosomal anomalies such as Lagging/brddge chromosomes, Micronuclei & initiated delay of four daughter cells.The frequency of abnormalities ranged (0.04 - 0.77%) which indicated the unstable heredity source of most wildplants. The pollen grains viability was estimated using acetocarmine stain, viable grains had stained, while sterile grains had not.T

The present investigation revealed cytological variations for six species (Eruca
sativa, Sisymbirium irio, Diplotaxis harra, Erucaria hispanica, Schimpera Arabica
and Brassica tournefortii ) belong to the Brassicaceaefamily.The flower buds were
collected from Al-Habania lake that located in Al-Anbar-Iraq. Using ironacetocarmine
squash technique in anther-smear studies which revealed a
chromosomal anomalies such as Lagging/brddge chromosomes, Micronuclei &
initiated delay of four daughter cells.The frequency of abnormalities ranged (0.04 -
0.77%) which indicated the unstable heredity source of most wildplants. The pollen
grains viability was estimated using acetocarmine stain, viable grains had stained,while st

Two specie's of terrnitls are described as new to science from Iraq Amitermes corpnlentus sp. n. and Anacanthotermes savvensis sp. n., with two figures.

The encoding of long low density parity check (LDPC) codes presents a challenge compared to its decoding. The Quasi Cyclic (QC) LDPC codes offer the advantage for reducing the complexity for both encoding and decoding due to its QC structure. Most QC-LDPC codes have rank deficient parity matrix and this introduces extra complexity over the codes with full rank parity matrix. In this paper an encoding scheme of QC-LDPC codes is presented that is suitable for codes with full rank parity matrix and rank deficient parity matrx. The extra effort required by the codes with rank deficient parity matrix over the codes of full rank parity matrix is investigated.

      الحمدُ للهِ رب العالمين ، والصلاة والسلام على نبيه الأمين محمد r وعلى آله الطيبين الطاهرين ، وأصحابه الغر الميامين:

             تعد الصورة السمعية مفهوما بيانيا نجده في البلاغة العربية واضحاً مؤثرا، مؤديا دورا جوهريا في إيصال الفكرة التي يروم الأديب إيصالها إلى المتلقي   ولا تبدو السمعية واضحة إلاّ إذا نظر إليها في حالة أدبيه تهز كيان الشاعر &nbsp

The petroleum system of Halfaya oil field shows that the hydrocarbon generation of these Formations such as Sha′uiba and Nahr Umr are immature and have generated few oil TR ≤ 50% which are neglected as compared to Formations below them which are very rich source rock. The Formations of Yamama, Ratawi and Sulaiy are mature with TR ≤ 100%. Other Formations such as Sargelu ,Najma,Zubair and Gotnia are with very high maturity with TR ≥ 100% and completely generated hydrocarbon and depleted after hydrocarbon are expelled and migrate to reservoir rock of structure traps and this study indicates that the major seals of Upper Jurassic are Gotnia and Allan Formations and of Middle Miocene is LowerFars fatha Formation.

The present study evaluates the insecticidal activity of (Acetone, 80% Methanol and water) crude leaf extract of AdhatodavasicaagainstBemisiatabaci. The extracts of (Acetone, Methanol 80%) showed 100, 86.6% mortality of nymphsBemisiatabaci at 5% concentration. Then the extracts of (Acetone, Methanol 80%) showed 100, 90% mortality of pupaBemisiatabaci at 5% concentration. Phytochemical screening revealed the presence of (Flavones, Volatiles oils, Tannins, Saponines, Glycosides, Alkaloids,Resins and Terpenoids)in methanol80% crude extract. It can be concluded that the acetone and methanol crude leaf extract of A. vasicaNees can cause mortality in (nymphs, pupa) Bemisiatabaci, so it can be used asinsecticides.

Porous silicon (P-Si) has been produced in this work by photoelectrochemical (PEC) etching process. The irradiation has been achieved using diode laser of (2 W) power and 810 nm wavelength. The influence of various irradiation times on the properties of P-Si material such as P-Si layer thickness, surface aspect, pore diameter and the thickness of walls between pores as well as porosity and etching rate was investigated by depending on the scanning electron micrograph (SEM) technique and gravimetric measurements.