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    The ‘Coase Theorem ’ as it has become known‚ was propounded by Ronald Coase of the University of Chicago and deals with a hypothetical world of zero transaction costs. His aim in so doing was "not to describe what life would be like in such a world but to provide a simple setting in which to develop the analysis and‚ what was even more important‚ to make clear the fundamental role which transaction costs do‚ and should‚ play in the fashioning of the institutions which make up the economic system

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    Lecture 15 The Definite Integral and Area Under a Curve Definite Integral ---The Fundamental Theorem of Calculus (FTC) Given that the function [pic] is continuous on the interval [pic] Then‚ [pic] where F could be any antiderivative of f on a ( x ( b. In other words‚ the definite integral [pic] is the total net change of the antiderivative F over the interval from [pic] • Properties of Definite Integrals (all of these follow from the FTC) 1. [pic] 4. [pic] 2. [pic] 5. [pic]

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    Rolle's Theorem

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    n calculus‚ Rolle’s theorem essentially states that a differentiable function which attains equal values at two distinct points must have a point somewhere between them where the first derivative (the slope of the tangent line to the graph of the function) is zero. ------------------------------------------------- Standard version of the theorem [edit] If a real-valued function f is continuous on a closed interval [a‚ b]‚ differentiable on the open interval (a‚ b)‚ and f(a) = f(b)‚ then there

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    Master Theorem

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    170 CHAPTER 5. RECURSION AND RECURRENCES 5.2 The Master Theorem Master Theorem In the last section‚ we saw three different kinds of behavior for recurrences of the form aT (n/2) + n if n > 1 d if n = 1. T (n) = These behaviors depended upon whether a < 2‚ a = 2‚ and a > 2. Remember that a was the number of subproblems into which our problem was divided. Dividing by 2 cut our problem size in half each time‚ and the n term said that after we completed our recursive work‚ we had n

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    Theorems of Probability

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    UNIT 2 THEOREMS Structure 2.1 Introduction Objectives PROBABILITY 2.2 Some Elementary Theorems 2.3 General Addition Rule 2.4 Conditional Probability and Independence 2.4.1 Conditional Probability 2.4.2 Independent Events and MultiplicationRule 2.4.3 Theorem of Total Probability and Bayes Theorem 2.5 Summary 2.1 INTRODUCTION You have already learnt about probability axioms and ways to evaluate probability of events in some simple cases. In this unit‚ we discuss ways to evaluate

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    Bernoullis Theorem

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    pressure dynamics specified by Bernoulli’s Principle to keep their rare wheels on the ground‚ even while zooming off at high speed. It is successfully employed in mechanism like the carburetor and the atomizer. The study focuses on Bernoulli’s Theorem in Fluid Application. A fluid is any substance which when acted upon by a shear force‚ however small‚ cause a continuous or unlimited deformation‚ but at a rate proportional to the applied force. As a matter of fact‚ if a fluid is moving horizontally

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    The Coase Theorem

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    The Coase Theorem In “The Problem of Social Cost‚” Ronald Coase introduced a different way of thinking about externalities‚ private property rights and government intervention. The student will briefly discuss how the Coase Theorem‚ as it would later become known‚ provides an alternative to government regulation and provision of services and the importance of private property in his theorem. In his book The Economics of Welfare‚ Arthur C. Pigou‚ a British economist‚ asserted that the existence

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    Thevenin Theorem

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    Thevenin Theorem It provides a mathematical technique for replacing for a given network‚ as viewed from two output terminals by a single voltage source with a series resistance. It makes the solution of complicated networks (particularly‚ electronic networks) quite quick and easy. The Thevenin’s theorem‚ as applied to d.c. circuits‚ may be stated as under: The current flowing through a load resistance RL connected across any two terminals A and B of a linear‚ active bilateral network is given

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    Taylor's Theorem

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    Taylors Theorem: Taylor’s theorem gives an approximation of a n times differentiable function around a given point by a n-th order Taylor-polynomial. For analytic functions the Taylor polynomials at a given point are fixed order truncations of its Taylor’s series‚ which completely determines the function in some locality of the point. There are numerous forms of it applicable in different situations‚ and some of them contain explicit estimates on the approximation error of the function by its Taylor-polynomial

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    Thomas Theorem

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    Thomas Theorem A teacher believing a student is more intelligent than they really are could change the interaction between this student and the teacher in many ways. This student could see the teacher having faith in them and perhaps seeing something in them that they don’t see in themselves. It could cause the student to have higher self esteem by this teacher thinking positively about them. This could be detrimental to the student because other students could consider the extra attention

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