Polynomial

removed called Frobenius Method) of differential equations. We present a few examples on this method by solving special second order ordinary differential equations. Key words ; Power series, differential equations, Frobenius Method, Lengendre polynomials 1.0 INTRODUCTION 1.1 BACKGROUND OF THE STUDY The attempt to solve physical problems led gradually to Mathematical models involving an equation in which a function and its derivatives play important role. However, the theoretical development

“Slightly and squeaky!” The door to the classroom flew open as I burst into the room and sat in my usual seat. This was the day I was going to learn how to do polynomial long division. “Good morning.” The professor said, as she walked into the classroom. Almost every one of the students had at least a pencil and notebook, copying notes that the teacher had put on the board. After writing the notes down, I said to myself, let me try to do one of the problems that the teacher had put on board. Surprisingly

quadratic formula for solving a quadratic equation. In the eighth century, the great Persian mathematician, Al-Kharizmi, offered a solution to the quadratic equation by completing the square. But solving the cubic equation or finding the zeroes of the polynomials of degree three evaded the great mathematicians. Omar Khayyan, the Islamic poet, astronomer, and mathematician attempted to find a general algebraic solution to the cubic equation but was able to only offer a geometric solution for a specific cubic

Newton’s Method Introduction Sir Isaac Newton is famous for many discoveries in both math and science. From gravity to calculus, Newton made many fundamental breakthroughs that have shaped thought for centuries and are still in use today. For this reason, Newton has always been one of the most interesting characters in history for me and thus is why I found such great interest in his theories and being able to explore them further. However, though he had countless monumental breakthroughs, he also

It is visible in Fig.~\ref{ededhe3c} that the missing mass distributions for two energies have a peak at the $\omega$ meson mass 0.7827~GeV/c$^2$, on top of a continuous background. The peak positions for two energies are at the correct $\omega$ mass, indicating that the energy reconstruction is done properly. The background of the missing mass distributions ends at different values because of the different phase space of the two energies. The two phase space distributions are useful for systematic

‘’Slightly and squeaky!” The door to the classroom flew open as I burst into the room and sat in my usual seat. This was the day I was going to learn how to do polynomial long division. “Good morning.” The professor said, as she walked into the classroom. Almost every one of the students had at least a pencil and notebook copying notes that the teacher had put on the board. After writing the notes down, I said to myself let me try to do one of the problems that the teacher had put on board. Surprisingly

Introduction Quadratics have had a prefund impact on mathematics, and it had dermasticly helped with graphing, find the vertex, interests and many other things. In this maths folio some of the ways that quadratics can be used in real world situations has been demonstrated along with the intervention of other math types. Method The method taken in this folio for part one and two was… Equipment Helibox Templates (5.0, 8.0, 10.5, 15.5, and 21.5cm lengths) Tape measure Computer Scissors Ruler

Analytical Mathematics: Matrices Matrices Matrices are a grouping of numbers or symbols that represent numbers in a semi-rectangle that are placed into order through one or a series of vertical lines known as columns and one or a series of horizontal lines known as rows. Matrices come in many sizes, they can be as few as one number and could go all the way to infinity. Not just one number or letter can be placed in a space a whole equation with numbers and variables can be placed in a single

Niels Abel and some of his work Many innovational mathematicians come and go, but only a few remembered for their great accomplishments. Niels Henrik Abel is one of the greatest mathematicians that have influenced modern mathematics, solving and creating theorems, like the Abelian-Ruffini theorem and Abel's theorem, and formulas/equations, like the abel equation, Abel’s inequality. He started discovering and creating these at a young age. Niels Abel was born in Norway, in a neighborhood parish

Related work: In order to overcome the security problems faced by cloud computing a new technology known as Homomorphic encryption is being put to use. It is a type of encryption that allows all the computational process to be made available to carry on cryptographic which is one on a plain text using an algorithm. This is one of the most improved and effective technique used in today’s architecture that is related to communication systems. This encryption combined all the different services that