Essays on Mathematical Models

Golden ration is a common mathematical ratio existing in the nature that is used to construct compositions in design work. The Golden ratio describes the perfectly symmetrical relationship between two proportions. It has been in use since many years and can be observed in music,...

Weber Problem As it presented before the facility location theory has its origins in the formulation of the French mathematician, Pierre de Fermat who stated the question about the existence of the three points in the plane and the locating of a new forth point...

ABSTRACT The study’s main cause was to improve the performance of the students of Luray II National High School with regards to Rational Function of General Mathematics. To give remedy to such problem, the researcher focused on two major inquiries. First, measure the difficulty level...

Using the Alexander Briggs notation, the trefoil knot (31) is considered the simplest non-trivial knot and the most amenable to chemical synthesis. Many different synthetic approaches to prepare trefoil knots have been investigated. In particular, the passive metal template-directed methodology coupled with RCM has been...

Introduction In 18th century mathematics was already become a part of modern science. Mathematics begins to develop very fast because of it’s introduction to schools. Therefore everyone have a chance to learn the basic fundamentals of mathematicsIn 21st century mathematics is used In robotics In...

Some names of large numbers, such as million, billion, and trillion, have real referents in human experience, and are encountered in many contexts. At times, the names of large numbers have been forced into common usage as a result of hyperinflation. The highest numerical value...

Charles Babbage was born in London on Dec. 26, 1791, St. Stephen day, in London. He was son of Benjamin Babbage, a banking partner of the Praeds who owned the Bitton Estate in Teignmouth and Betsy Plumleigh Babbage. It was about 1808 when the Babbage...

Mr. Jean Fourier was a young man born March 21st in 1768. He was born in France, where he soon joined the armed forces, but this was his main aspiration. So because of his unremarkable family foundation he wasn’t able do as such. He went...

ABSTRACT Quantitative structural activity relationships (QSARs), or quantitative structure–property relationships (QSPRs), are mathematical models that attempt to relate the structure-derived features of a compound to its biological or physicochemical activity. There are lots of commercial or free software available for QSAR development. These include specialized...

Discrete Mathematics is the study of mathematics limited to a set of integers. Discrete Mathematics is becoming the basis of many real-world problems, particularly in computer science. From our daily experience, we can say that natural languages are not accurate as they can have a...

ABSTRACT This paper presents, a spectrum sharing strategy in cooperative cognitive radio networks. Multi-phase cooperation architecture is explained and studied with cooperation partner selection and spectrum sharing among secondary users. The data of primary users forwarded to the cooperation partners who are selected from secondary...

R-square is a statistical measure of how close the data are to the fitted regression line. It is also known as the coefficient of determination, or the coefficient of multiple determination for multiple regression. It measures the proportion of the variation in your dependent variable...

In this paper, we propose a mathematical task dispatching model to shorten the total tasks completion time, i.e. make-span, in Wireless Sensor Actor Networks. We formulate the allocation of tasks as a Mixed Integer Nonlinear Programming (MINLP) problem with the goal of minimizing the completion...

The spiral model combines the idea of iterative development with the systematic, controlled aspects of the waterfall model. The spiral model has four phases. A software project repeatedly passes through these phases in iterations called Spirals. This means that the product is released incrementally. The...

“ In mathematics the Pythagorean theorem, also known as pythagoras theorem is a fundamental relation in Euclidean geometry among the three sides of a right triangle.” Stephanie J. Morris says “This famous theorem is named for the greek mathematician and philosopher, Pythagoras. Pythagoras founded the...