DISCRETE MATHEMATICS Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly"‚ the objects studied in discrete mathematics – such as integers‚ graphs‚ and statements in logic – do not vary smoothly in this way‚ but have distinct‚ separated values. Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis. Discrete objects
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of TK 10‚000. By inputting these variables into the formula‚ TK. 10‚000 times 10% times 3 years would be TK 3000. The formula of simple interest is: [pic] Where: P is the loan amount I is the interest rate N is the duration of the loan‚ using number of periods [pic] TK TK (% Per Year) (Years) Simple interest is money earned or paid that does not have compounding. Compounding is the effect of earning interest on the
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10 MAT 21 Dr. V. Lokesha 2012 Engineering Mathematics – II (10 MAT21) LECTURE NOTES (FOR II SEMESTER B E OF VTU) VTU-EDUSAT Programme-16 Dr. V. Lokesha Professor of Mathematics DEPARTMENT OF MATHEMATICS ACHARYA INSTITUTE OF TECNOLOGY Soldevanahalli‚ Bangalore – 90 Partial Differential Equation 1 10 MAT 21 Dr. V. Lokesha 2012 ENGNEERING MATHEMATICS – II Content CHAPTER UNIT IV PARTIAL DIFFERENTIAL EQUATIONS
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Chapter 2: THE NATURE OF MATHEMATICS Mathematics relies on both logic and creativity‚ and it is pursued both for a variety of practical purposes and for its intrinsic interest. For some people‚ and not only professional mathematicians‚ the essence of mathematics lies in its beauty and its intellectual challenge. For others‚ including many scientists and engineers‚ the chief value of mathematics is how it applies to their own work. Because mathematics plays such a central role in modern culture‚
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------------------------------------------------- Prime number A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime‚ as only 1 and 5 divide it‚ whereas 6 is composite‚ since it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than
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1. The use of knowledge and understanding of mathematics in engineering context. Mathematics is science of pattern that engineers seek out whether found in numbers‚ space‚ science‚ computers‚ imaginary abstractions‚ or elsewhere. Knowledge and use of basic mathematics have always been an inherent and integral part of engineering. In our previous semester‚ basic mathematics was applied in almost every module. From stress analysis of simple machine components to numerical description of various
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that has bilateral symmetry. The other kind of symmetry is radial symmetry. This is where there is a center point and numerous lines of symmetry could be drawn. The most obvious geometric example would be a circle. Geometry is the branch of mathematics that describes shapes. Sphere: A sphere is a perfectly round geometrical object in three-dimensional space‚ such as the shape of a round ball. The shape of the Earth is very close to that of an oblate spheroid‚ a sphere flattened along the
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received his BA‚ MS‚ and PhD from the West University of Timisoara‚ Romania. The topic of his doctoral dissertation was “Research on Diophantine Analysis and Applications.” Professor Andreescu currently teaches at the University of Texas at Dallas. Titu is past chairman of the USA Mathematical Olympiad‚ served as director of the MAA American Mathematics Competitions (1998–2003)‚ coach of the USA International Mathematical Olympiad Team (IMO) for 10 years (1993–2002)‚ Director of the Mathematical Olympiad
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Mean: The average (mean) number of daily visitor traffic is 3 (total amount of data adds up to 88‚ then divided this total by the number of data sets‚ 30. 88 divided by 30‚ equals 2.93‚ which I rounded up to 3.) The average (mean) number of daily sales is 1 (total amount of sales data adds up to 29‚ then divided this total by the number of data sets‚ 30. 29 divided by 30‚ equals 0.96‚ which I rounded up to 1.) Median: The average (median) number of daily visitor traffic is 3
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CASE STUDY Business Applications in Engineering . The first section of this report deals with the “Macro Environment”. This consists of broad environmental factors that impact almost all organizations. Here the PESTEL framework can be used to identify how future trends in the political‚ economic‚ social‚ technological‚ environmental and legal environments might effect on organizations. The following PESTEL analysis provides broad data from which to identify key drivers of change. Many of these
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