Monday, June 10, 2019

Pascal and the Probability Theory Research Paper

Pascal and the prospect Theory - Research Paper ExampleHis father introduced him to maths when he was 15 years old. Despite this fact, he had started making discoveries in geometry as primordial as 12 years. Come 1939, his family moved to Rouen after his father was appointed a tax collector. His creativity was exhibited at this point, whereby he was able to invent a computing machine so as to make his fathers work easier during his daytime to day endeavors. Later in 1647, Pascal conducted and wrote about experiments concerning vacuums, but many scientists disregarded the existence of vacuums. For instance, the great French philosopher Rene Descartes visited Pascal for 2 days and disagreed with him concerning the vacuum. In a letter Descartes wrote to Huygens after this encounter, he asserts that Pascal had too much vacuum in his head1. This did not deter him from pursuing mathematics and cognizance in 1653, he published a treatise on the equilibrium of Liquids. Pascal later inv ented Pascals Triangle, a triangular array of be which solves mathematical riddles. He would later become interested in probability after a gambling question was projected to him. In correspondence with another(prenominal) great scientist Fermat, they were able to solve the problem of points how to divide stakes in a impale of dice if the game is incomplete. Pascal almost lost his sprightliness in 1654, and this affected him psychologically to the point of being a staunch Christian. Even after setting the ground for the theory of probability, Pascal quit Mathematics to pursue a quieter Christain life in a monastery in Paris. He never married. He succumbed in 1662 to malignant stomach ulcers. Introduction Even from an early age, Pascal was curious about natural occurrences, and he formulated experiments to study these occurrences. Pascal studied fluids, pure and applied sciences, pressure and machines, among other scientific principles. spell still a teenager in 1642, Pascal had begun ground-breaking work on calculating machines. At first, his attempts failed, but he finally managed to invent the mechanical calculator three years later2. This simply shows that Pascal was able to invent scientific principles from an earlier age. However, one of Pascals greatest invention is in the world of Mathematics is the Theory of Probability, a theory that is centered on estimating and calculating the chance of doing something. For example, if 6 men are playing dice, what is the chance that each(prenominal) of them can win the game? And if at all two are eliminated, what is the chance that each of the remaining four will win the game? Probability centers on such occurrences. The theory of probability was advanced so as to prove the fact that chance can be mathematically calculated accurately. unlike facets in the modern world apply probability. This is not just in mathematics courses, but it is also applicable in the practical courses like genetics, quantum mechanics , energising theory of gases, industrial quality control and insurance.This paper dwells on the history of the probability theory, and how Pascal contributed to this theory, and how his findings were shaped by other great scientists who were also researching on the theory. Pascals involvement with probability dates back to 1654 when another scientist, Chevalier challenged him to solve a puzzle which at that time was known as the problem of points. This problem had been posed in the late 1400s and no one had managed to solve it for a period of 200 years. The problem was that how the stakes of a chance game should be divided

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