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,...

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...

In the science of the theoretical computation, the automata theory is the study of mathematical objects called abstract machines or the computer robots and problems that can be solved using them. Robot comes from the Greek word a?t?µata that means “autoactuante”. The automata theory also...

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...

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...

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...

What was the David Hilbert’s Program? He stated that only and only one algorithm can solve all the problems in the world. Who was David Hilbert? One of the great Mathematician, whose name was David Hilbert introduced a program in 1890.David Hilbert was a German...

Background information on field experience school: Miami Coral Park Senior High School has 2,891 students of which 92% are Hispanic, 2% are Black, 4% White, and 2% Asian. 13% of the school’s students are ELL/LEP. The grades levels are 9-12 and the school has a...

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...

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...

Leonhard Euler What mathematician contributed most to Calculus and Trigonometry? This is one of the most debatable questions of the centuries. Some might say Pythagoras contributed the most based on his famous formula, the Pythagorean Theory. While others argue that Plato is the most important...

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...

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...