cost‚ or quantity-distance product. a: the assignment vector of the new departments. c(i‚k) : a cost incurred if department i is located at site k (due to transportation of dept i with the existing departments.) Material flow matrix Distance matrix (from Fig Q1(b)) (Calculated from Fig Q1(a)) A B C 4 5 6 K 7 9 4 1 2 2 3 L 10 6 8 2 1 3 2 M 5 6 9 3 1 1
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Linear Least Squares Suppose we are given a set of data points {(xi ‚ fi )}‚ i = 1‚ . . . ‚ n. These could be measurements from an experiment or obtained simply by evaluating a function at some points. You have seen that we can interpolate these points‚ i.e.‚ either find a polynomial of degree ≤ (n − 1) which passes through all n points or we can use a continuous piecewise interpolant of the data which is usually a better approach. How‚ it might be the case that we know that these data points should
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Gaussian Elimination" (see Menu) Enter the matrix of coefficients and right-hand side vector You may edit the following statements or use the matrix and vector pallettes to enter new data ( see View‚ Palettes) > A:=<<4 | 2 | 3 | 2> ‚ <8 | 3 | -4 | 7> ‚ <4 | -6 | 2 | -5>>; > b:=<<15‚ 7‚ 6>>; Form the augmented matrix and solve The Maple routine GaussianElimination requires the augmented matrix A|b as input. In this worksheet this matrix is called Ab and is formed using <A|b> >
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Essay 1 Plato‚ Descartes and The Matrix; what a trio of reading that if not for my ability to read without believing everything that was before my eyes‚ I would not know what to believe. After reading the three synopses I had to regroup and think‚ did I read this or was this a dream? I will now try and compare and contrast the three and show if there were any similarities and differences. I will start with comparing Plato and the Matrix in that there are similarities between the two. The similarities
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Guide Number (from tip) Distance from Tip (cm) 1 10 2 23 3 38 4 55 5 74 6 96 7 120 8 149 Define suitable variables and discuss parameters/constraints. Using Technology‚ pot the data points on a graph. Using matrix methods or otherwise‚ find a quadratic function and a cubic function which model this situation. Explain the process you used. On a new set of axes‚ draw these model functions and the original data points. Comment on any differences. Find a polynomial
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[edit]Linear independence As mentioned above‚ the determinant of a matrix (with real or complex entries‚ say) is zero if and only if the column vectors of the matrix are linearly dependent. Thus‚ determinants can be used to characterize linearly dependent vectors. For example‚ given two linearly independent vectors v1‚ v2 in R3‚ a third vector v3 lies in the plane spanned by the former two vectors exactly if the determinant of the 3 × 3 matrix consisting of the three vectors is zero. The same idea is also
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Phil 201 Essay 1 September 26‚ 2012 Comparing and contrasting the synopsis “The Matrix” to Plato’s “The Allegory Of The Cave” and also Descartes “Meditation I Of The Things Of Which We May Doubt” which have several similarities and also some differences. In all three of these stories the main idea is that reality is in question. In the Matrix‚ the human being is in a pod like machine that is controlled by a computer simulating what we think and know to be reality. Reality is not only created
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R. (2005)‚ ‘A Test for Superior Predictive Ability’‚ Journal of Business and Economic Statistics 23(4)‚ 365–380 Hansen‚ P. R.‚ Lunde‚ A. & Nason‚ J. M. (2005)‚ Model confidence sets for forecasting models. Federal Reserve Bank of Atlanta Working Paper 2005-7 Hodrick‚ R. J. & Prescott‚ E. C. (1997)‚ ‘Postwar U.S. Business Cycles: An Empirical Investigation’‚ Journal of Money‚ Credit and Banking 29(1)‚ 1–16 White‚ H. (2000)‚ ‘A Reality Check for Data Snooping’‚ Econometrica 68(5)‚ 1097–1126. 116 Index
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SCI102 Tutorial Week 3 Answers Equations in Matrix form 1. -13-22xy= 910 A= -13-22‚ X=xy and B=910 AX = B X = A-1B |A| = - 2 – (-6) = 4 A-1 = 14 2-32-1 and X= 14 2-32-1910=14 18-3018-10 x = -12/4 and y = 8/4 x = - 3 and y = 2 2. A= 24-12‚ X=xy and B=06 AX = B X = A-1B |A| = 4 – (- 4) = 8 A-1 = 18 2-412 and X= 18 2-41206=18 0-240+12 x = -24/8 and y = 12/8 x
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TYPES OF MOVIES Nearly one hundred years ago‚ human beings invented the gadget called camera. Nobody could have known the importance of this invention when it was devised. After years‚ television and cinema were invented‚ and people gradually understood the importance of these gadgets. They had a chance to join entertaining‚ interesting‚ and even amazing world of television and cinema because the life they saw in movies usually resembled their daily life. Now people have considered that movies
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