University No. 11365048 Contents Introduction Sample x results Sample y results Elasticity and Elastic Limit Yield Point and Plasticity Ultimate Tensile Strength Stiffness Ductility Brittleness Hooke’s Law Young’s Modulus Conclusion Sample x graph Sample y graph Sample z graph List of references Page 2 Page 3 Page 4 Page 5 Page 5 Page 6 Page 6 Page 7 Page 7 Page 8 Page 8 Page 9 Page 11 Page 12 Page 13 Page 14 Page 1 of 15 University No. 11365048 The Tensile Test I have been provided
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9/12/10 IMP POW Linear Nim In this POW‚ we had to play a game called Linear Nim. In this game‚ we drew 10 lines on a paper‚ and we had to take turns crossing out 1‚ 2‚ or 3 of the marks. The person that crossed out the last mark was the winner. The first task of this POW was to find a winning strategy for this game. After we found this out‚ we were supposed to make variations to the game‚ for instance starting with more or less marks‚ or allowing a player to cross out more or less marks. We were
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possibly generate increased profit? a) Increase your building space or lot size. b) Decrease the money paid to employees. c) Refinance the loan at a lower rate. d) Charge more for your services. _____ 2) Which of the following is a valid objective function in linear programming? a) Max 5xy. b) Min 4x + 5y - (2/3)z. c) Max 4 x 2 + 6 Y 2. d) Min (x + y) / z.
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denote entries a b c d Or a11 a12 a a 21 22 Row vs Column vector 3 x 4 y 5 z 0 2 x 2 y z 0 6 x 4 y 2 z 0 Numerical coefficients and their relative positions (system of linear equations) 5 3 4 2 2 1 6 4 2 and 0 0 0 Matrix or matrices‚ uses brackets/parentheses‚ represented by bold letters e.g.‚ A‚ B‚ C‚ Z etc. Equality of Matrices A=[aij] and B=[bij] are equal if
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regression are concerned with measuring the linear relationship between two variables. 1.1 Scattergram It is not a graph at all‚ it looks at first glance like a series of dots placed haphazardly on a sheet of graph paper. The purpose of scattergram is to illustrate diagrammatically any relationship between two variables. (a) If the variables are related‚ what kind of relationship it is‚ linear or nonlinear ? (b) If the relationship is linear‚ the scattergram will show whether
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Econometrics Nalan Basturk Erasmus University Rotterdam Econometric Institute basturk@ese.eur.nl http://people.few.eur.nl/basturk/ Introduction Course Introduction Course Organization Motivation Introduction Today Regression Linear Regression Ordinary Least Squares Linear regression model Gauss-Markov conditions and the properties of OLS estimators Example: individual wages Goodness-of-fit 1 / 42 2 / 42 Lecture 1‚ 3 September 2013 Applied Econometrics Introduction Course Introduction Applied
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Types of regression and linear regression equation 1. The term regression was first used as a statistical concept in 1877 by Sir Francis Galton. 2. Regression determines ‘cause and effect’ relationship between variables‚ so it can aid to the decision-making process. 3. It can only indicate how or to what extent variables are associated with each other. 4. There are two types of variables used in regression analysis i.e. The known variable is called as Independent Variable and the variable which
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(a) What is linear programming problem? Ans: Linear programming (LP‚ or linear optimization) is a mathematical method for determining a way to achieve the best outcome (such as maximum profit or lowest cost) in a given mathematical model for some list of requirements represented as linear relationships. Linear programming is a specific case of mathematical programming (mathematical optimization). More formally‚ linear programming is a technique for the optimization of a linear objective function
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straight line the linear density‚ ‚ of the string (show procedure and calculations). Comment. Y – axis X – axis Frequency (Hz) N 78 1 151.8 2 234 3 320.8 4 397.9 5 Using the calculator we perform linear regression to obtain the slope B as 80.08 while A = -4.54 Which is nothing but To obtain the error on the slope: αB Where N = 5 The error αμ is: Hence the linear density is 1.1x103
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| This problem‚ as outlined above‚ is an example of a linear programming problem. Linear programming is part of the Optimization Techniques field of Mathematics‚ used for resource allocation and organization. With linear programming problems‚ one takes the inequalities that exist within a given situation and deduces a best case scenario under those particular conditions (Stapel‚ 2009). One particularly effective method of solving linear programming problems is the Simplex Method. The Simplex
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