APPLICATIONS OF VECTOR ALGEBRA IN SPHERE AND FORCE

This “Introduction to vector- methods and their various applications to physics and mathematics” is an exposition of the late Willard Gibbs’ vector analysis. The author in his preface warns us that “no attempt at mathematical rigor is made” which perhaps explains the opening sentence of chapter “A vector is any quantity having direction as well as magnitude.” What of finite rotations? Are they not to be considered quantities having direction and magnitude? In an appendix the author compares notations, not always quite accurately. He believes Willard Gibbs’ notation to be the simplest and most symmetrical of any of the existing kinds. Burali-Forti and Marcolongo, who believe they have devised the perfect notation, object to Willard Gibbs’ “dot” in the scalar product, using a “cross” instead. As regards the question of symmetry, the truth is that the vector product is not symmetrical, for in Gibbs’s notatio

A STUDY ON SEPARATION AXIOMS

Topology is a beautiful science and forms a bridge between geometry and algebra.Topology means (Topo-place,logy-study) i.e.,study of place.One of the most wiedly used mathematical concepts in the study of place,optimization of any machinery parts such as mobiles,cycles,computers,cars,buses,trains and airplanes,etc.In this paper,the concept of a separation axioms considered.The separation axioms are only in the sense that when defining the notation of topological space.The separation axims are denoted with the letter “T” after the German Trennungsaxiom,which means “Separation Axioms”.In this paper proposed T0,T1,T2,T3 and T4 axioms with example

MATRIX POLYNOMIAL AND LAMBDA MATRIX

A matrix x is a solvent of the matrix polynomials. f(x)=A o xm +…..+Am if f(x) = 0.Where A o, x, f are square matrices. In this paper we develop the linear algebra of matrix polynomials and solvents. we define division and interpolation the properties of matrices and define and study the existence of a complete set of solvents. we study the relation between the matrix polynomial problems and Theorems and lambda matrix problem, Which is to find scalar λ such that A o λm+A1 λm-1+ ……. +Am is singular. In a future paper we extend Cayley Hamilton Theorem for calculating of scalar polynomials to matrix polynomials. And lambda matrix for column and row Hermite calculating of lambda matrix

Ovvai Nirmala and the Style of Comical Drama

Man started to appear and grow up wandering everywhere in the forest, mountains, ridges, ravines and living in caves. Then, he carried on with a joint family life. It is probable to state that the creation of drama happened when the first Man who had wandered everywhere but not knowing any language communicated his opinion in an artificial mode to his fellow beings. Yes, the theatrical creation might have appeared when man appeared. Silapathikaram was created as a theatrical epic centered on a citizen. After that, plays like Sankardas Swamy's Pammal Sambandhamudaliar’s were set to attract the public. In this context, Professor Ovvai Nirmala's play 'Navabharatham in Paradise' is a satirical play that points to all levels of society and evokes thought. The play that is flavored with the taste of all the ingredients is humorous and lashes out at all levels of society with a sense of accompaniment. All theatrical events take place in the celestial world. Not only legends like God Shiva, Goddess Umai, God Thirumal, Naradhar and also Thiruvalluvar, Kambar, Bharathi etc. strolled with him and created his imaginative satire from the social perspective

Walt Whitman and William Cowper: A Borrowing

Presents the case that Whitman borrowed a line from Cowper\u27s "On the Receipt of My Mother\u27s Picture Out of Norfolk" for his "Passage to India" and argues that the connection underscores larger points regarding the aesthetic weakness of "Passage" and Whitman\u27s evolution toward a more "conventional logocentrism.