'Trapezoid rule' presentation slideshows

Chapter 6 Classic Design

Chapter 6 Classic Design. 6.1 Introduction. Figure 6.1 Typical CCS. Figure 6.2 Simplified CCS framework. There are two kinds of design methods for the design of CCS, i.e., indirect design method and direct design method. 6.2 Indirect design method. Discretize.

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Chapters 5 and 6: Numerical Integration

Chapters 5 and 6: Numerical Integration. Definition of Integral by Upper and Lower Sums. Application to monotone decreasing function. (composite form: equal subintervals). As part of assignment #2 (due 2/4/14), derive the integration

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Chapter 2 A Survey of Simple Methods and Tools

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Natural Language Processing Lab Dept. of Computer Science and Engineering, Korea Univertity

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Computational Methods in Physics PHYS 3437

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Numerical Integration

Numerical Integration. Four 2-variate Gaussians. Four 2-variate Gaussians. Gaussian pdf. Weight sum of Gaussian pdfs. myfx4.m. Plot 4G. plot_4G.m. Integration of 4G. demo_int_4G.m. Double integration. exp( cos (x)). plot_expcos.m. Definite Integration. demo_quad.m.

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1.00 Lecture 20

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1.00 Lecture 20

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Integration

Integration. Definition Total area within a region In mathematical terms, it is the total value, or summation, of f ( x ) dx over the range from a to b :. Newton-Cotes Formulas. General Idea replace a complicated function or tabulated data with a polynomial that is easy to integrate:

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NUMERICAL COMPUTATIONS

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Clicker Question 1

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Area Under a Curve

Area Under a Curve. 5.1. MRAM. Approximate the area under the curve on the interval [1,4] using n=6. . Trapezoid Rule. We can approximate the area under the curve using trapezoids. This is much more accurate for a small n. We would find this using similar techniques as RAM. .

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4.6 Numerical Integration

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Example 2 Estimate by the six Rectangle Rules using the regular

Example 2 Estimate by the six Rectangle Rules using the regular partition P of the interval [ 0, ? ] into 6 subintervals. Solution Observe that the function with g(0)=1 is continuous at

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Example 1 Estimate by the six Rectangle Rules using the regular

Example 1 Estimate by the six Rectangle Rules using the regular partition P of the interval [ 0,1 ] into 4 subintervals.

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