Newton‚ Sir Isaac (1642--1727) Physicist and mathematician‚ born in Woolsthorpe‚ Lincolnshire‚ EC England‚ UK. He studied at Cambridge. In 1665-6 the fall of an apple is said to have suggested the train of thought that led to the law of gravitation. He studiedthe nature of light‚ concluding that white light is a mixture of colours which can be separated by refraction‚ anddevised the first reflecting telescope. He became professor of mathematics at Cambridge in 1669‚ where heresumed his work on gravitation
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each resulting binomial has a particular factor common to both terms. Factor x2 out of the first two terms‚ and factor −6 out of the second two terms. x2(x+3) −6(x+3) Now look closely at this binomial. Each of the two terms contains the factor (x+3). Factor out (x+3). (x+3) (x2−6) is the final factorization. x3+3x2−6x−18= (x+3) (x2−6) Factoring Trinomials: Notice that the first term in the resulting trinomial comes from the product of the first terms in the binomials: x⋅x=x2. The last
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2013 Michael Gray Biography of a Mathematician Archimedes‚ one of the greatest mathematicians‚ engineers‚ physicist‚ inventors‚ and astronomer ’s in history. Ranked with the likes of Isaac Newton and Carl Gauss‚ Archimedes contributions to math include the area of geometry‚ number theory‚ algebra‚ and theorems of plane. Birth Archimedes was born in Syracuse‚ Greece on the island of Sicily in 287 BC. Son of Pheidias‚ a well-known astronomer‚ and research showing that Archimedes is thought to be
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originated the science of deductive geometry. He also discovered theorems of elementary geometry and is said to have correctly predicted an eclipse of the sun. Many of his studies were in astronomy but he also observed static electricity. Phythogoras was a Greek philosopher. He discovered simple numerical ratios relating the musical tones of major consonances‚ to the length of the strings used in sounding them. The Pythagorean theorem was named after him‚ although this fundamental statements of deductive
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MASTER OF COMPUTER APPLICATIONS (MCA) MCA/ASSIGN/V/YEAR/2012 ASSIGNMENTS Year‚ 2012-13 (5th Semester) (MCS-051‚ MCS-052‚ MCS-053‚ MCSL-054‚ MCSE-003‚ MCSE-004‚ MCSE-011) SCHOOL OF COMPUTER AND INFORMATION SCIENCES INDIRA GANDHI NATIONAL OPEN UNIVERSITY MAIDAN GARHI‚ NEW DELHI – 110 068 CONTENTS Course Code Assignment No. Submission-Schedule MCS-051 MCA(5)/051/Assign/12 15th October‚ 2012 (For July 2012 Session) Page Nos. 3 15th April‚ 2013 (For January 2013 Session) MCS-052 MCA(5)/052/Assign/12
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numbers and encountered irrational numbers. We continue our discussion on real numbers in this chapter. We begin with two very important properties of positive integers in Sections 1.2 and 1.3‚ namely the Euclid’s division algorithm and the Fundamental Theorem of Arithmetic. Euclid’s division algorithm‚ as the name suggests‚ has to do with divisibility of integers. Stated simply‚ it says any positive integer a can be divided by another positive integer b in such a way that it leaves a remainder r that is
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Advanced Modelling in Finance using Excel and VBA Wiley Finance Series Operational Risk: Measurement and Modelling Jack King Advance Credit Risk Analysis: Financial Approaches and Mathematical Models to Assess‚ Price and Manage Credit Risk Didier Cossin and Hugues Pirotte Dictionary of Financial Engineering John F. Marshall Pricing Financial Derivatives: The Finite Difference Method Domingo A Tavella and Curt Randall Interest Rate Modelling Jessica James and Nick Webber Handbook of Hybrid Instruments:
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Sample Term Test 2A 1. A variable X has a distribution which is described by the density curve shown below: What proportion of values of X fall between 1 and 6? (A) 0.550 (B) 0.575 (C) 0.600 (D) 0.625 (E) 0.650 2. Which of the following statements about a normal distribution is true? (A) The value of µ must always be positive. (B) The value of σ must always be positive. (C) The shape of a normal distribution depends on the value of µ. (D) The possible values of a standard normal variable
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Statistics – Lab Week 4 Name: MATH221 Statistical Concepts: * Probability * Binomial Probability Distribution Calculating Binomial Probabilities * Open a new MINITAB worksheet. * We are interested in a binomial experiment with 10 trials. First‚ we will make the probability of a success ¼. Use MINITAB to calculate the probabilities for this distribution. In column C1 enter the word ‘success’ as the variable name (in the shaded cell above row 1. Now in that same column
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Their most important results—series expansion for trigonometric functions—were described in Sanskrit verse in a book by Neelakanta called Tantrasangraha‚ and again in a commentary on this work‚ calledTantrasangraha-vakhya‚ of unknown authorship. The theorems were stated without proof‚ but proofs for the series for sine‚ cosine‚ and inverse tangent were provided a century later in the work Yuktibhasa (c. 1500 – c. 1610)‚ written in Malayalam‚ by Jyesthadeva‚ and also in a commentary on Tantrasangraha
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