essay Esperanto

May 13th, 2015
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The world is in the process of globalization and language is the biggest problem. Culture shock and communication breakdown are result of this problem. Therefore, the world need a common language that people can speak together.

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7003 lecture 1Maximizing and minimizingIf x* maximizes f(x), then it minimizes -f(x)For graphical method, solve in that you shift the profit function closer to origin So if min G(x), you can find the x to maximize -G(x)Mathematical programControl variables/decision variables: xjF is the objective functionBi are the resource values (i = 1,?,m)A mathematical program is a linear program if f(x1,?,xn) and all constraints gi(xi) are all linear in decision variablesDefinitionsCanonical form: all xs ? 0, and all constraints are equalities Standard form: all x ? 0 and all constraints use ?Feasible region: set of points (x1,?,xn) that satisfy all constraints Extreme point of region R : any vertex on boundary of RBounded: R is bounded if all points in R are finiteFeasible basis points: Extreme points of a feasible regionExtreme point theoremFor LPP, if feasible region is 1. Non

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