The discussion in this paper gives several theorems and lemmas on the Sums of Squares of consecutive Carol Numbers. These theorems are proved by using the definition of carol numbers and mathematical induction method. Here the matrix form and the recursive form of sum of squares of consecutive Carol numbers is also given. The properties of the Carol numbers are also derived.
الخلاصة
١٩٨٢ ) وھي كاتبة روایات بولیسیة من مدینة كرایستتش رتش ف ي - ولدت السیدة نكایو أدیث مارش ( ١٨٩٩
اً وف ي روای ات a د میت a ل یرق a نیوزیلندة وأشتھرت ببطلھا المفتش الأقدم رودری ك أل ین ال ذي یظھ ر ف ي روایتھ ا رج
بضمنھا الموت والخادم الراقص ١٩٤٢ وقد الفت عشرین روایة.
توماس ھو الخادم الراقص الذي تھزه أغنیة مرح ة منبعث ة م ن م ذیاع ف ي غرف ة الت دخین حی ث یرق د ویلی ام
میتاً بعد أن قتلھ أخوه نیكولاس، وھو الذي ی
In this work, novel copolymers of poly(adipic anhydride-co-mannitol) were synthesized by melting condensation polymerization of poly(adipic anhydride) with five percentages of mannitol sugar, 1 to 5 Wt.%. These copolymers were purified and then, characterized by FT-IR, which was proved that the cross-linking reaction was caused by nucleophilic attack of mannitol hydroxyl group to acidic anhydride groups of poly(adipic anhydride) backbone and new ester groups were formed and appeared. Also, modified organic-soluble chitosan, N-maleoyl-chitosan, were synthesized by grafting reaction of chitosan with maleic anhydride in DMF as solvent, and it was also purified and characterized by FT-IR. Biodegradation in vitro of the IPNs of poly(adipic anhyd
... Show MoreTin oxide was deposited by using vacuum thermal method on silicon wafer engraved by Computer Numerical Controlled (CNC) Machine. The inscription was engraved by diamond-made brine. Deep 0.05 mm in the form of concentric squares. Electrical results in the dark were shown high value of forward current and the high value of the detection factor from 6.42 before engraving to 10.41 after engraving. (I-V) characters in illumination with powers (50, 100, 150, 200, 250) mW/cm2 show Improved properties of the detector, Especially at power (150, 200, 250) mW/cm2. Response improved in rise time from 2.4 μs to 0.72 μs and time of inactivity improved 515.2 μs to 44.2 μs. Sensitivity angle increased at zone from 40o to 65o.
Eighteen new cyclic imides (maleimides) conncted to benzothiazole moiety through sulfonamide group were synthesized via multistep synthesis.The first step involved preparation of two maleamic acids N-phenylmaleamic acid and N-benzylmaleamic acid via reaction of maleic anhydride with aniline or benzyl amine.Dehydration of the prepared amic acids by treatment with acetic anhydride and anhydrous sodium acetate in the second step afforded N-phenylmaleimide and N- benzyl maleimide which in turn were treated with chlorosulfonic acid in the third step to afford 4-(N-maleimidyl) phenyl sulfonyl chloride and 4-(N-maleimidyl) benzyl sulfonyl chloride respectively.In the Fourth step of this work each one of the two prepared maleimidyl sulfonyl chlorid
... Show MoreThis study identified the genus Coelastrella Chodat, 1922 which was isolated from a sediment sample taken from the Tigris river in Baghdad Governorate, Iraq. The alga was isolated and cultured in modified Chu 10 media and the morphological features of the isolated algae were observed in light microscopy (LM); it showed some characteristic features of this genus, such as its ellipsoidal or lemon- shaped cells, a visible pyrenoid and the chloroplast parietal. To ensure correct identification of the isolated alga, a molecular analysis using 18S rRNA gene and DNA sequencing revealed a match with C. terrestris (Reisigl) Hedewald & N. Hanagata 2002. This species is a new record in Iraq
... Show More5-fluorouracil (5-FU) is a is Pyrimidine analogue widely used in the treatment of various malignancies It belongs to the antimetabolites family that acts during the S-phase of the cell cycle thus it prevents DNA synthesis.N-acetylcysteine is nutritional complement acts as antioxidant.The purpose of the current study is to investigate whether there is a protective role of N-acetylcystein against intestinal toxicity induced by 5-fluorouracil in albino rats.18 healthy adult rats were distributed into 3 groups of 6 rats for each. Group A as a control group.Group B injected with 5-FU (20 mgs dissolved in 2ml normal saline per kilogram body weight intraperitoneally for 7 successive days while Group C received N-acetylcy
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