Discrete   logarithms  are applied      in many    cryptographic problems  . For instance ,   in public   key .  and for construction of sets with disti nct sums of  k-clcments.  The   purpose o r  this   paper

is  to  modify  the  method ol' informationl1·iding  using        discrete logarithms  , introduce new properties of St - sets ,   uscdthe direct product   of    groups   to construct  cyclic group and finally, present modified   method   for   knapsack &

One of the key molecules in the conversion of sphingosine to sphingosine-1- phosphate is SPHK-1, also known as Sphingosine Kinase 1 (SPHK-1). Sphingosine-1-phosphate (S1P) is a lipid that acts as a signaling molecule and plays an essential role in inflammatory and immunomodulatory responses. S1P has recently been identified as a mediator and a biomarker in inflammatory bone diseases such as osteoporosis and inflammatory osteolysis based on the biological effects of S1P in osteoclastic and osteoblastic cells and immune cells. According to recent research, S1P may play a role in the pathogenesis of periodontitis, an inflammatory bone-destructive condition. This study assesses the salivary level SPHK-1 in periodontitis and its correlat

This research presents a new study in reactive distillation by using consecutive reaction: the saponification reaction of diethyl adipate (DA) with sodium hydroxide solution .

The effect of three parameters were studied through a design of experiments applying 2³ factorial design . These parameters were : the mole ratio of DA to NaOH solution (0.1 and 1) , NaOH solution concentration (3 N and 8 N) , and batch time (1.5 hr. and 3.5 hr.) . The conversion of DA to sodium monoethyladipate(SMA)(intermediate product) was the effect of these parameters which was detected . Also , the percentage purity of the intermediate product was recorded . The results showed that increasing mole ratio of DA to NaOHsolutio

Were collected three types of medicinal plants from their natural habitat after Astkhalasalziot volatile manner steam distillation and determine the quality and quantity of vehicles chemical for each of the oils obtained using a technique JC discouraged when you merge oily thyme and lemon grass against bacteria either when using oils in three did not have a different effect

Each phenomenon contains several variables. Studying these variables, we find mathematical formula to get the joint distribution and the copula that are a useful and good tool to find the amount of correlation, where the survival function was used to measure the relationship of age with the level of cretonne in the remaining blood of the person. The Spss program was also used to extract the influencing variables from a group of variables using factor analysis and then using the Clayton copula function that is used to find the shared binary distributions using multivariate distributions, where the bivariate distribution was calculated, and then the survival function value was calculated for a sample size (50) drawn from Yarmouk Ho

In this study, the genus Xylocopa Latreille, 1802 (Hymenoptera: Apidae) was revised. There were 4 species registered in our investigations: X. hottentotta Smith, 1854; X. olivieri Lepeletier, 1841; X. pubescens Spinola, 1838 and X. valga Gerstäcker, 1872, the first species was described as being found for the first time for the insect fauna of Iraq, which were obtained from Solanum melogena L. flowers. Key to the species was constructed and supported by figures of the main diagnostic characters and some morphological features, illustrated and compared with other species, which are recorded in the current survey.

To determine the important pathogenic role of celiac disease in triggering several
autoimmune disease, thirty patients with Multiple Sclerosis of ages (22-55) years
have been investigated and compared with 25 healthy individuals. All the studied
groups were carried out to measure anti-tissue transglutaminase antibodies IgA IgG
by ELISA test, anti-reticulin antibodies IgA and IgG, and anti-endomysial
antibodies IgA and IgG by IFAT. There was a significant elevation in the
concentration of anti-tissue transglutaminase antibodies IgA and IgG compared to
control groups (P≤0.05), there was 4(13.33%) positive results for anti-reticulin
antibodies IgA and IgG , 3(10%) positive results for anti-endomysial antibodies

     Thyroid carcinoma incidence is increasing yearly and ranks second among the top ten cancers in Iraq, especially among women. The single nucleotide polymorphism (rs965513, A>C) near FOXE1 gene was found to be associated with papillary thyroid carcinoma risk in several Genome-wide association studies. Therefore, this is a case-control study aimed at identifying whether this variation is associated with the risk of papillary thyroid carcinoma in the Iraqi population. Association of rs965513 was investigated in one hundred and one papillary thyroid carcinoma Iraqi patients and one hundred and two controls using quantitative PCR-high resolution melting technique. The results of genotype and allele frequencies showe