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GENERALIZED MILDLY NONLINEAR COMPLEMENTARITY PROBLEMS FOR FUZZY MAPPINGS
Al Said, Elsa-A.,Noor, Muhammad-Aslam 한국전산응용수학회 1998 Journal of applied mathematics & informatics Vol.5 No.3
In this paper we introduce and study a new class of gen-eralized mildly nonlinear complementarity problems for fuzzy map-pings. We use the change of variabes technique to establish the equivalence between the generalized mildly nonlinear complementar-ity problems and the Wiener-Hopf equations. This equivalence is used to suggest and analyze a number of iterative algorithm for solv-ing the generalized mildly nonlinear complemetarity problems.
NUMERICAL SOLUTIONS FOR SYSTEM OF SECOND ORDER BOUNDARY VALUE PROBLEMS
Al Said, E.A.,Noor, M.A.,Al Shejari, A.A. 한국전산응용수학회 1998 Journal of applied mathematics & informatics Vol.5 No.3
We investigate some numerical methods for computing approximate solutions of a system of second order boundary value problems associated with obstacle unilateral and contact problems. We show that cubic spline method gives approximations which are better than that computed by higer order spline and finite difference techniques.
CUBIC SPLINE METHOD FOR SOLVING TWO-POINT BOUNDARY-VALUE PROBLEMS
Al Said, Eisa-A. 한국전산응용수학회 1998 Journal of applied mathematics & informatics Vol.5 No.3
In this paper we use uniform cubic spline polynomials to derive some new consistency relations. These relations are then used to develop a numerical method for computing smooth approxi-mations to the solution and its first second as well as third derivatives for a second order boundary value problem. The proesent method out-performs other collocations finite-difference and splines methods of the same order. numerical illustratiosn are provided to demonstrate the practical use of our method.
Al-Tahtawy, Ragaa Hosny Mohamad,Zekry, Zekry Khalid,Al-Mehdar, Hussain A.,Salama, Omar,El-Shaieb, Siad Ebrahim,El-Basmy, Amany A.,Al-said, Mohamad Gamil Abdel Monem,Sharawy, Sabry Mohamed The Korean Society of Food Science and Nutrition 2009 Journal of medicinal food Vol.12 No.2
There is a traditional belief in the Middle East that regular consumption of camel milk may aid in prevention and control of diabetes. The aim of this work was to evaluate the efficacy of camel milk as an adjuvant therapy in young type 1 diabetics. This 16-week randomized study enrolled 54 type 1 diabetic patients (average age 20 years) selected from those attending the outpatient diabetes clinic of the Menofia University Hospital, affiliated with Egypt's National Cancer Institute. Subjects were randomly divided into two groups of 27 patients: one received usual management (diet, exercise, and insulin), whereas the other received 500 mL of camel milk daily in addition to standard management. A control group of 10 healthy subjects was also assessed. The following parameters were evaluated at baseline and at 4 and 16 weeks: hemoglobin A1c (HbA1c), human C-peptide, lipid profile, serum insulin, anti-insulin antibodies, creatinine clearance, albumin in 24-hour urine, body mass index, and Diabetes Quality of Life score. The following parameters were significantly different between the usual-management group versus the camel milk group after 16 weeks: fasting blood sugar ($227.2\;{\pm}\;17.7$ vs. $98.9\;{\pm}\;16.2\;mg/dL$), HbA1c ($9.59\;{\pm}\;2.05$[%] vs. $7.16\;{\pm}\;1.84$[%]), serum anti-insulin antibodies ($26.20\;{\pm}\;7.69$ vs. $20.92\;{\pm}\;5.45\;{\mu}U/mL$), urinary albumin excretion ($25.17\;{\pm}\;5.43$ vs. $14.54\;{\pm}\;5.62\;mg/dL$/24 hours), daily insulin dose ($48.1\;{\pm}\;6.95$ vs. $23\;{\pm}\;4.05$ units), and body mass index ($18.43\;{\pm}\;3.59$ vs. $24.3\;{\pm}\;2.95\;kg/m^2$). Most notably, C-peptide levels were markedly higher in the camel milk group ($0.28\;{\pm}\;0.6$ vs. $2.30\;{\pm}\;0.51\;pmol/mL$). These results suggest that, as an adjunct to standard management, daily ingestion of camel milk can aid metabolic control in young type 1 diabetics, at least in part by boosting endogenous insulin secretion.
MODIFIED NUMEROV METHOD FOR SOLVING SYSTEM OF SECOND-ORDER BOUNDARY-VALUE PROBLEMS
Al-Said, Eisa A.,Noor, Muhammad Aslam 한국전산응용수학회 2001 The Korean journal of computational & applied math Vol.8 No.1
We introduce and discuss a new numerical method for solving system of second order boundary value problems, where the solution is required to satisfy some extra continuity conditions on the subintervals in addition to the usual boundary conditions. We show that the present method gives approximations which are better than that produced by other collocation, finite difference and spline methods. Numerical example is presented to illustrate the applicability of the new method. AMS Mathematics Subject Classification : 65L12, 49J40.
The Role of Curcuma longa Against Doxorubicin (Adriamycin)-Induced Toxicity in Rats
Al-Tahtawy, Ragaa Hosny Mohamad,El-Bastawesy, Amal Mohamad,Zekry, Zekry Khalid,Al-Mehdar, Hussain A.,Al-said, Mohamad Gamil Abdel Monaam,Aly, Soaad Shaker,Sharawy, Sabry Mohamed,El-Merzabani, Mahmuod The Korean Society of Food Science and Nutrition 2009 Journal of medicinal food Vol.12 No.2
The major component, called curcumin, of turmeric (Curcuma longa L.) (Family Zingiberaceae) powder is responsible for its biological actions. The present study aimed to prove the protective effect of turmeric extract against doxorubicin (DOX)-induced cardiac, hepatic, and renal toxicity as evaluated in rats. Body weight and urine volume of the animal groups under investigation were recorded daily throughout the experimental period. Also, the cardiac, hepatic, and renal toxicities were determined by estimating the changes in serum activities of the enzymes lactate dehydrogenase (LDH) and creatine kinase (CK), serum levels of alanine aminotransferase, aspartate aminotransferase, nitric oxide, albumin, and calcium, and kidney and liver tissue activities of superoxide dismutase and glutathione peroxidase, as well as the contents of glutathione and malondialdehyde. Hyperlipidemia was also determined, and protein and albumin changes in urine were estimated. Biochemical and histopathological findings demonstrate that turmeric extract has multiple therapeutic activities that are beneficially protective, and it has an ameliorative effect against DOX-induced cardiac toxicity and hepatotoxicity and blocks DOX-induced nephrosis. Similarly, turmeric extract inhibited the DOX-induced increase in plasma cholesterol, LDH, and CK. The present findings conclude that the turmeric extract has multiple therapeutic activities that block the cardiac, hepatic, and renal toxicities induced by DOX, and it also possibly acts as a free radical scavenger.
Impact of Social Networks in Educational Media
Al-Said, Khaleel M.,Al Said, Nidal,Hattab, Ezz The Korea Institute of Information and Commucation 2020 Journal of information and communication convergen Vol.18 No.4
This study aims to determine whether student participation on Twitter affects academic performance. The key goals of the training course were to acquire social networking knowledge and skills and to learn how to share information, be productive in discussions, and create an interest-based community. The initial sample comprised 286 students from Jordan universities, 68.4% of whom agreed to participate in the study. Undergraduate students accounted for 73.9%, and graduate students accounted for 26.1%. Only 14.3% of the students chose the Twitter-based learning model. This is a mixed-methods study that integrates quantitative and qualitative approaches. The undergraduate students were found to tweet more and have more likes, while graduate students had more followers and were following more accounts. Moreover, 21% of the participants were the most active. Spearman's correlation analysis revealed a connection between participation in social media and student performance. Therefore, the results of this study may help educational professionals and education managers.
DIFFERENCES OF DIFFERENTIAL OPERATORS BETWEEN WEIGHTED-TYPE SPACES
Al Ghafri, Mohammed Said,Manhas, Jasbir Singh Korean Mathematical Society 2021 대한수학회논문집 Vol.36 No.3
Let 𝓗(𝔻) be the space of analytic functions on the unit disc 𝔻. Let 𝜓 = (𝜓<sub>j</sub>)<sup>n</sup><sub>j=0</sub> and 𝚽 = (𝚽<sub>j</sub>)<sup>n</sup><sub>j=0</sub> be such that 𝜓<sub>j</sub>, 𝚽<sub>j</sub> ∈ 𝓗(𝔻). The linear differential operator is defined by T<sub>𝜓</sub>(f) = ∑<sup>n</sup><sub>j=0</sub> 𝜓<sub>j</sub>f<sup>(j)</sup>, f ∈ 𝓗(𝔻). We characterize the boundedness and compactness of the difference operator (T<sub>𝜓</sub> - T<sub>𝚽</sub>)(f) = ∑<sup>n</sup><sub>j=0</sub> (𝜓<sub>j</sub> - 𝚽<sub>j</sub>) f<sup>(j)</sup> between weighted-type spaces of analytic functions. As applications, we obtained boundedness and compactness of the difference of multiplication operators between weighted-type and Bloch-type spaces. Also, we give examples of unbounded (non compact) differential operators such that their difference is bounded (compact).