RESEARCH PAPER ON LINEAR PROGRAMMING Vikas Vasam ID: 100-11-5919 Faculty: Prof. Dr Goran Trajkovski CMP 561: Algorithm Analysis VIRGINIA INTERNATIONAL UNIVERSITY Introduction: One of the section of mathematical programming is linear programming. Methods and linear programming models are widely used in the optimization of processes in all sectors of the economy: the development of the production program of the company
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The development of linear programming has been ranked among the most important scientific advances of the mid 20th century. Its impact since the 1950’s has been extraordinary. Today it is a standard tool used by some companies (around 56%) of even moderate size. Linear programming uses a mathematical model to describe the problem of concern. Linear programming involves the planning of activities to obtain an optimal result‚ i.e.‚ a result that reaches the specified goal best (according to the mathematical
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THE ACCOUNTING EQUATION The accounting equation can be described as of the basis of accounting. This is because it describes the double entry principle of book-keeping. It is a representation of how funds are raised to finance Assets. The equation is illustrated below: Asset = Capital + Liabilities For example‚ a girl needs to buy a laptop costing £500. She already had £250 in personal savings and then took a loan of £250 from her boyfriend. Here is the equation again: Asset Capital
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Equations of State (EoS) Equations of State • From molecular considerations‚ identify which intermolecular interactions are significant (including estimating relative strengths of dipole moments‚ polarizability‚ etc.) • Apply simple rules for calculating P‚ v‚ or T ◦ Calculate P‚ v‚ or T from non-ideal equations of state (cubic equations‚ the virial equation‚ compressibility charts‚ and ThermoSolver) ◦ Apply the Rackett equation‚ the thermal expansion coefficient‚ and the isothermal compressibility
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Maxwell’s EquationsMaxwell’s equations represent one of the most elegant and concise ways to state the fundamentals of electricity and magnetism. From them one can develop most of the working relationships in the field. Because of their concise statement‚ they embody a high level of mathematical sophistication and are therefore not generally introduced in an introductory treatment of the subject‚ except perhaps as summary relationships. These basic equations of electricity and magnetism can be used
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The Drake Equation * The Drake Equation was created by Frank Drake in 1960. * estimate the number of extraterrestrial civilizations in the Milky Way. * It is used in the field of Search for ExtraTerrestrial Intelligence (SETI). * National Academy of Sciences asked Drake to organize a meeting on detecting extraterrestrial intelligence. Reason drake equation created * Drake equation is closely related to the Fermi paradox * The Drake Equation is: N = R * fp * ne * fl * fi
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2/20/2014 Frequently Used Equations - The Physics Hypertextbook Frequently Used Equations Mechanics velocity Δ s v= Δ t ds v= dt acceleration Δ v a= Δ t dv a= dt equations of motion v = 0+at v x =x0+v 0 +½ 2 t at weight W =m g momentum p =m v dry friction ƒ μ =N centrip. accel. v2 ac = r 2 ac =−ω r impulse J =F Δ t impulse–momentum F Δ= Δ t m v J =⌠ dt F ⌠ dt =Δ F p ⌡ kinetic energy potential energy ⌡ K =½ mv
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Differential Equations and Models in Physics‚ Engineering and Economics Coordinating professor: Valeriu Prepelita Bucharest‚ July‚ 2010 Table of Contents 1. Importance and uses of differential equations 4 1.1. Creating useful models using differential equations 4 1.2. Real-life uses of differential equations 5 2. Introduction to differential equations 6 2.1. First order equations 6 2.1.1. Homogeneous equations 6 2.1.2. Exact equations 8 2.2. Second order linear equations
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CHAPTER 8 Linear Programming Applications Teaching Suggestions Teaching Suggestion 8.1: Importance of Formulating Large LP Problems. Since computers are used to solve virtually all business LP problems‚ the most important thing a student can do is to get experience in formulating a wide variety of problems. This chapter provides such a variety. Teaching Suggestion 8.2: Note on Production Scheduling Problems. The Greenberg Motor example in this chapter is largest large
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Quadratic equation In elementary algebra‚ a quadratic equation (from the Latin quadratus for "square") is any equation having the form where x represents an unknown‚ and a‚ b‚ and c represent known numbers such that a is not equal to 0. If a = 0‚ then the equation is linear‚ not quadratic. The numbers a‚ b‚ and c are the coefficients of the equation‚ and may be distinguished by calling them‚ the quadratic coefficient‚ the linear coefficient and the constant or free
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