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Degree Level Mathematics

Question: Concept of Limit in Real Analyses

Answer: There is probably no other instance in human intellectual history in which so much time and effort was spent merely to reach a satisfactory definition as that for limit. The concept is very closely related with two other fundamental concepts of mathematics and exists alongside both infinity and continuity. The Greek scholars were the first who seriously considered problems of continuity and infinity based on the concept of ‘number’. Various attempts were made by them to include the concept of number into geometry.......(short extract) to download the full answer, please Sign in or Register then make a payment or submit an essay

Question: The History of the Cubic Equation

Answer: Scipione del Ferro (ca. 1465 – 1526) is the first person known to have solved cubic equations algebraically. However, he did not disclose this remarkable achievement until he was near death. The momentous solution fell to the ears of Antonio Maria Fior, a student of del Ferro, who, upon gaining the information, began to boast that he was able to solve cubic equations. This delusion of grandeur gave rise to a public problem-solving contest between Fior and Niccolo Fontana or Tartaglia as he was more widely known.......(short extract) to download the full answer, please Sign in or Register then make a payment or submit an essay

Question: Project title: The change of sign, Newton-Raphson and rearrangement method.

Answer: For my project, I will analyse the use of three methods which are called the: change of sign, Newton-Raphson and the rearrangement method and are going to use them to find roots of different equations, and hence compare the merits and flaws of the methods with each other. I will analyse which is the best in terms of factors such as a speed of convergence and ease of use with available software and hardware.cocb......(short extract) to download the full answer, please Sign in or Register then make a payment or submit an essay

Question: Cellular Automata

Answer: A discrete dynamical system forms a cellular automaton. [1] They first appeared in the specifications of digital computers and are processors of information. They are a self generation computer universe that has been designed by ourselves in which space is represented by the grid. [2] This grid contains a number of cells each contains data and discrete steps in time advances while the laws of the fictional universe are stated in a reference table, these form the rules of life.......(short extract) to download the full answer, please Sign in or Register then make a payment or submit an essay

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