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Showing posts from November, 2018

Google Page ranking : One application of Markov chain Model

The biggest and widely used search engine on the web today is Google. Every second it meets queries by millions of internet users and provides answers.  There are millions of pages available in the web server and among these all pages the search engine needs to return the page based on the user’s need. This is properly done by using Google page Ranking. PageRank was developed by  Larry Page and Sergey Brin  in 1996 as a part of a research project about a new kind of search engine at Stanford University . This technique is used by Google to rank web pages according to their importance, link popularity: a page is ranked higher if there are more links to it. While a query for a particular web page is made by one internet user, Google search algorithm compiles the PageRank scores using PageRank algorithm and returns the web pages depending on the score of each page. In the PageRank algorithms the webs are considered as a directed graph in which nodes represent the pages and edges repres

The Abstract of Antiquity

Algebra is better known as the most jaded subject in our curriculum. The subject usually represents mathematical ideas and techniques involving symbols rather than numbers. It began with finding the solutions of an equation. Algebra has a beauty in its own strange and abstract way. The most fascinating thing is that the language of algebra has mottled significantly across the history of all civilizations. In the initial stages after its apparent day of birth, it evolved with the idea of theory of equations. In fact the word "algebra" originated from the Arabic word al-jabr, which initiated from the treatise, written in the year 830, by a medieval Persian mathematician, Muhammad ibn Musa al-Khwarizmi. The treatise provided systematic solution of linear and quadratic equations. Algebraic expressions appeared in three different stages starting from Rhetorical algebra (where equations were written in full sentences) to Syncopated algebra and finally to Symbolic algebra. Since i