abstract in this thesis at first we comput the determinant of hankel matrix with enteries a_k (x)=?_(m=0)^k??((2k+2-m)¦(k-m)) x^m ? by using a new operator, ? and by writing and solving differential equation of order two at points x=2 and x=-2 . also we show that this determinant under k-binomial transformation is invariant.

this thesis aims at putting together two of the vestest areas of study there is in humanities: bioethics and literature. the two novels in question, oryx and crake and the year of the flood, are considered as some of the most succssful examples of spculative fiction. in these novels the biological and environmental issues raised as looked at from a bioethics point of view.

one very decisive factor in students’ academic destiny is the result they get at final term examinations. because of its importance, both students and teachers are curiously anxious about them. as normally it is the case, these final term tests are prepared hurriedly in short time by teachers which result in students’ dissatisfaction, complaining on how the test was different from their expecta...

the present thesis is going to investigate the theme of despair, darkness and pesimism in philip larkins poetry. larkin is a british poet whose poems were composed in the dark and gloomy years of postwar. so, his poetry contains and reflects the same darkness and despair of his age. a good number of poems form different collections of his poetry are chosen and will be analyzed in the light of t...

in this thesis, a better reaction conditions for the synthesis of spirobarbiturates catalyzed by task-specific ionic liquid (2-hydroxy-n-(2-hydroxyethyl)-n,n-dimethylethanaminium formate), calcium hypochlorite ca(ocl)2 or n-bromosuccinimide (nbs) in the presence of water at room temperature by ultrasonic technique is provided. the design and synthesis of spirocycles is a challenging task becaus...