COURSE NOTES Financial Mathematics MTH3251 Modelling in Finance and Insurance ETC 3510. Lecturer: Prof. Fima Klebaner School of Mathematical Sciences Monash University Semester 1‚ 2012 Contents 1 Lecture 1. Introduction. 1.1 Prices of stocks as functions of time . . . . . . . . . . . . . . . . . . 1.2 Simulated functions of time that look like stock prices . . . . . . . . 1.3 Example of modelling using Random Variables . . . . . . . . . . . . 2 Lecture 2. Random variables. Revision. 2.1 Random
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we introduce the concept of reciprocal‚ plus solutions to different logarithmic problems‚ progress was such that it created algorithms for calculating sums of progressions. In geometry‚ it is believed that they knew the Pythagorean Theorem‚ though not as a general theorem. With no doubt‚ China played a big role in mathematical progress. However‚ it was in Greece‚
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Chapter 13: The Hawthorne Studies Hawthorne Studies “The Social Person” was not invented by these studies‚ but was brought to a wider recognition by those who interpreted the results. The studies have been widely publicized‚ misinterpreted‚ praised‚ and criticized over the many years since the event. The studies continue to generate articles and presentations. Hawthorne Plant History & Time Line 1905: Western Electric moved to Cicero‚ Illinois 1914: Absorbed operations from New York & Chicago 1924-1933:
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What is laboratory biosecurity? Some general observa1ons about biosecurity – Biosecurity vs/& biosafety – LegislaQon Recommenda1ons 2 What is laboratory biosecurity? 3 Kaplan’s theorems: Theorem 1: 50% of the problems in the world result from people using the same word with different meanings; Theorem 2: The other 50% comes from people using different words with the same meaning. 4 Biosafety and Biosecurity BIOSAFETY BIOSECURITY 5 Biosafety and Biosecurity
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9. Construct formal‚ logical arguments‚ proofs‚ and constructions. 10. Determine how changes in dimensions affect the perimeter‚ area‚ and volume of common geometric figures and solids. 11. State the Pythagorean Theorem and its converse. 12. Solve problems using the Pythagorean Theorem and its converse‚ and the properties of complementary‚ supplementary‚ vertical‚ and exterior angles. 13. Define the properties of complementary‚ supplementary‚ vertical‚ and exterior angles. 14. Compute the mean‚
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September 26‚ 2011 10:52 WSPC/INSTRUCTION FILE 14˙Sahpankum Asian-European Journal of Mathematics Vol. 4‚ No. 3 (2011) 523–544 c World Scientific Publishing Company DOI: 10.1142/S1793557111000435 ON RADIO NUMBER OF POWER OF CYCLES Laxman Saha∗ ‚ Pratima Panigrahi† and Pawan Kumar‡ Department of Mathematics‚ IIT Kharagpur Kharagpur‚ West Bengal 721302‚ India ∗laxman.iitkgp@gmail.com †pratima@maths.iitkgp.ernet.in ‡pawan@maths.iitkgp.ernet.in Communicated by M. R. R. Moghaddam
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Statistically Independent and Dependent Events 4. Bayes’Theorem Learning Objectives • Understand the basic foundations of probability analysis • Learn the probability rules for conditional probability and joint probability • Use Bayes’ theorem to establish posterior probabilities Reference: Text Chapter 2 Introduction • Life is uncertain; we are note sure what the future will being • Probability is a numerical statement about the likelihood that an event will occur Fundamental
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Elements of Mathematics for Economists Bernard Cornet January 18‚ 2011 Contents Notation 1 Euclidean Spaces 1.1 Scalar Product and Associated Norm . . . . . . . . . . . . 1.1.1 Scalar Product . . . . . . . . . . . . . . . . . . . . 1.1.2 Norm Associated to a Scalar Product . . . . . . . . 1.1.3 Convergence in a Normed Space . . . . . . . . . . . 1.1.4 Euclidean Spaces and Hilbert Spaces . . . . . . . . 1.2 Matrices and Scalar Product . . . . . . . . . . . . . . . . . 1.2.1 Generalities on Matrices
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GATE 2013 Graduate Aptitude Test in Engineering Information Brochure Organizing Institute Indian Institute of Technology Bombay Head Office: 28B/7 (G.F.)‚ Jia Srai‚ Near IIT‚ Hauz Khas‚ New Delhi -110016 PH: 011-26514888 Mob: 9990657855 www.engineersinstitute.com facebook.com/eiidelhi 1 1 Table of Contents 1 Introduction .........................................................................................................................................................
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didn’t leave much time for his love of math. Since math was just his hobby‚ he never wanted any of his work to be published. When he did publish his work‚ it was always anonymously. Fermat would state theorems‚ but always neglected the proofs. For example‚ his most famous work‚ ‘Fermat’s Last Theorem‚’ didn’t include a proof until when Andrew J. Wiles provided the first in 1993. He made many contributions in the field of mathematics. For example‚ he is considered as one of the ‘fathers’ of analytic
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