Luis Puga Trig. Ms.Candidato 2/20/12 The Pascal’s Triangle The Pascal’s Triangle is a triangular array of the binomial coefficients. The system after French mathematician Blaise Pascal. The set of numbers that form Pascal’s triangle were known before Pascal. However‚ Pascal developed many uses of it and was the first one to organize all the information together in his treatise‚ Traité du triangle arithmétique (1653). The numbers originally arose from Hindu studies of combinatorics and binomial
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an invaluable and important concept in fluid mechanics and its applications especially in the automotive industry‚ mechanical engineering‚ and hydraulics. Pascal’s law or the principle of transmission of fluid-pressure that was proposed by Blaise Pascal. According to Bloomfield‚ the law is a principle in fluid mechanics that states that for a particular position within a fluid at rest‚ the pressure is the same in all directions. Pascal’s principle is defined as A change in pressure at any point
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Blaise Pascal Blaise Pascal was born on June 19‚ 1623‚ in Clermont‚ Auvergne‚ France. He was the third child of Étienne Pascal. He was the only male child. Blaise’s mother passed away when he was three years old. After his mother’s death‚ the family packed their bags up and moved to Paris. Blaise’s father‚ Étienne decided to teach his son. However‚ he did not allow Blaise to study mathematics until he was 15 years old. When Blaise was 12‚ he started to study geometry by himself. Blaise continued
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Early Pascal compilers[edit] The first Pascal compiler was designed in Zürich for the CDC 6000 series mainframe computer family. Niklaus Wirth reports that a first attempt to implement it in Fortran in 1969 was unsuccessful due to Fortran’s inadequacy to express complex data structures. The second attempt was formulated in the Pascal language itself and was operational by mid-1970. Many Pascal compilers since have been similarly self-hosting‚ that is‚ the compiler is itself written in Pascal‚ and
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Wager Pascals Wager relies on many assumptions that are not necessarily true‚ by proving the falsehood of these assumptions the Wager falls apart. First the wager assumes that God cannot tell the difference between true faith and fained faith. Second is that doesn’t care if one’s willingness to believe is based purely in self interest. Third‚ if there is a possibility for God to exist there is an equal possibility for him to be nothing like we think. First off what exactly is Pascals Wager.
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Blaise Pascal “There are two types of minds - the mathematical‚ and what might be called the intuitive. The former arrives at its views slowly‚ but they are firm and rigid; the latter is endowed with greater flexibility and applies itself simultaneously to the dive.” From childhood he was a scientific prodigy. Just from this quote of his you can tell that even his mind in itself can fathom things that none of us even think about on a daily basis. Blaise Pascal was born June 19‚ 1623 in Clermont
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Similar Triangles Project February 12‚ 2013 Introduction: In this project‚ I found the height of an object I chose based on how tall one of my partners is‚ how far away she is from the mirror‚ and how far the mirror was from the base of one of the objects. From there I set up a proportion and solved for X. X represented the unknown height of the chosen object. Once I figured this out I then converted to feet and compared that to my partners height to see if it
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given non - collinear points is: [Marks:1] A. Two B. infinitely many C. Four D. Three 6] The area of a right triangle with base 5 m and altitude 12 m is [Marks:1] A. 50 m2 B. 15 m2 C. 9 m2 D. 30 m2 7] Evaluate: 53 - 23 - 33 [Marks:1] A. 80 B. 60 C. 120 D. 90 8] The area of an equilateral triangle of side 14 cm is [Marks:1] A. B. C. D. 9] Simplify: [Marks:2] 10] Check whether (x
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Pascal’s triangle is a geometric arrangement of the binomial coefficients in a triangle.It is also known as the figurate triangle‚ the combinatorial triangle‚ and the binomial triangle. Even though Pascal’s Triangle is named after seventeenth century mathematician‚ Blaise Pascal‚ several other mathematicians knew about and applied their knowledge of the triangle hundreds of years before the birth of Pascal in 1623. The Arabs‚ Persians and the Chinese discovered Pascal’s triangle in earlier centuries
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Sample Question Paper 349 Sample Question Paper Mathematics (211) Time : 3 Hours Maximum Marks : 100 Note : 1. Question Numbers (1–16) are Multiple Choice Questions. Each question carries one mark. For each question‚ four alternative choices are given‚ of which only one is correct. You have to select the correct alternative and indicate it in the box provided against each question by writing A‚ B‚ C or D as the case may be. 2. Question Numbers (17–26) carry 3 marks each. 3. Question
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