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ELEMENTS OF POINT SET TOPOLOGY
Point set topology are terse introduction to the topological concepts used in economic
theory. Topology is a basic mathematical field that deals with geometric properties,
continuity, and boundary in relation to subspaces. Tynchonoff’s theorem is classified as of
the topology theore
VECTOR EQUATION AND STRAIGHT LINE
We will study some of the basic concepts about vectors various operations on vectors, their algebraic and geometric properties. These two types of properties, when considered to gather give full realizations to the concepts of vectors, and lead to their vital applicability in various areas
FREE GROUPS AND FREE PRODUCTS OF GROUPS
One can use van Kampen’s theorem to calculate fundamental groups for topological spaces that can be decomposed into simpler spaces. Thus we can see that there is a commutative diagram including A∩B into A and B and then another inclusion from A&B into s2 and that there is a corresponding diagram of homomorphism b/w the fundamental groups of each subspace. It is clear from this that the fundamental group of s2 is trivial
TYPES OF INDEX NUMBERS AND METHOD OF INDEX NUMBERS
In this paper we are deals that various type of index numbers and measured value an index number is a statistical value that measures the change in a variable with respect to time. Index numbers are meant to study changes in the effects of factors which cannot be measured directl
ADDITION –ELIMINATION PROCESS OF 2,4-DICHLOROQUINOLINE SYNTHESIS AND PHARMACOLOGICAL IMPORTANCE
In terms of the diversity of quinolines, 2,4-dichloro compounds can play a role as key
intermediates in synthesis of 2,4-disubstituted quinolines by possible stepwise substitution at
C4 and C2 positions, where the chance for study of regioselectivity is more. This obvious
significance prompted us to study the selectivity referred to 2,4-dichloroquinolines, in which
one of the chlorine is selectively replaced under controlled temperature to yield new
molecular structures with high pharmacological importance or with interesting properties
CHEMICAL CONSTITUENTS FROM ETHANOL EXTRACT OF ABRUS PRECATORIUS BY USING GCMS TECHNIQUES
A large number of medicinal plants and their purified constituents have shown beneficial therapeutic potentials. In order to promote the use of medicinal plants as potential sources of antimicrobial compounds, it is important to thoroughly investigate their composition and activity and thus validate their use. The objectives of the present study are to analyze qualitative preliminary phytochemical screeningand antimicrobial properties of Abrus precatoriusL . The qualitative preliminary phytochemical performed in aqueous extracts and ethanolic extracts of Abrus precatoriusL were done and the bioactive compound was indentified with TLC , GC-MS and UV-VIS analysis. TLC of plant extract shows three bands for the presence of phenolic compound and Rf values were 0.4,0.45,and 0.48.The UV-VIS shows the spectra at278 and 457 nm confirms the organic chromophores and fifty compounds were identified in the ethanolic extracts by GC-MS.The major components present in the Abrusprecatoriuswere αCyclooctanedione ,Furanone , 2,4-Dihydroxy-2,5-dimethyl-3(2H)-furan-3-one , 2-Oxopentanedioic acid ,PropenylFormate ,and various other compounds were identified as low level. These phytochemical are responsible for various pharmacological actions
IMAGINARY WORLD OF NAYANTHARA SAGHAL
The mid twentieth centuary saw the upsurge of another mindfulness about the ladies\u27 marginilised position coming about into the introduction of ladies\u27 movment. Writing is the reflections of society and commonwealth is the casing work of the social cognizance reflected in that and couldn\u27t stay unaffected by the ladies\u27 marginialization is society particularly man centric society.The post freedom period has brought to the forfront various noted ladies authors who have enrihed India English fiction by an innovative delivered of female sensiblity
HUNGER AND DEGRADATION IN KAMALA MARKANDEYA’S NECTAR IN A SIEVE.
The current examination is an endeavor to research followed of Homi K Bhabha\u27s postcolonial key thoughts in V. S. Naipaul\u27s A House for Mr. Biswas. Postcolonialism as a postmodern methodology looks to show the connection between the colonizer and the colonized. In the composed of Bhabha, portrayed best in The Location of Culture (1994), he focuses on the correspondence of societies and takes a gander at the manners in which that two societies join into one another. In observing Naipaul\u27s A House for Mr. Biswas as a postcolonial text, by the assistance of Postcolonial hypotheses of Homi Bhabha it is asserted that thementioned novel summarizes Naipaul\u27s way to deal with how people identify with places
NATURE VS MAN: A THEMATIC STUDY OF HERMAN MELVILLE’S MOBY DICK. -
Nature always wears the colors of spirit and joy. Humans are the creations of nature and nothing without it. Nature gives us life in all means and humans are not loyal to protect it in return. Human’s act against nature is the major cause for the degradation happening throughout the world. Many authors warned the readers through their writings about the ill happening against nature and its outcome. Among all Herman Melville’s portrayal of human act against nature through the character Captain Ahab, who made his move against nature to catch the smart sea Whale Moby Dick. The setting created by Melville for this novel is the places in and around the ocean near Massachusetts. The novel not only exposed the value of culture and humanity but also shows the injustice done my mankind against nature and as a result everyone was punished on their own way
DECOMPOSITION OF FUZZY MATRIX
This paper has two chapters, in chapter one, basic concepts about fuzzy matrices are introduced. Basic notations of matrices are given in section one in order to make the book self-contained. Section two gives the properties of fuzzy matrices. Since the data need to be transformed into fuzzy models, some elementary properties of graphs are given. Further, this section provides details of how to prepare in linguistic question to make use of in these fuzzy models when the data related with the problem is unsupervise