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mws_gen_inp_bck_definition(1) - Of course if x falls...

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05.01.1 05.01 Definition of Interpolation After reading this chapter, you should be able to: 1. Understand what Interpolation is. What is Interpolation? Many a times, a function   x f y is given only at discrete points such as     n n n n y x y x y x y x , , , , ...... , , , , 1 1 1 1 0 0 . How does one find the value of y at any other value of x ? Well, a continuous function   x f may be used to represent the 1 n data values with   x f passing through the 1 n points. Then one can find the value of y at any other value of x . This is called interpolation. Of course, if
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Unformatted text preview: Of course, if x falls outside the range of x for which the data is given, it is no longer interpolation but instead is called extrapolation. Figure 1 Interpolation of discrete data (x o , y o ) (x 1 , y 1 ) (x 2 , y 2 ) (x 3 , y 3 ) y x f ( x ) 05.01.2 Chapter 05.01 INTERPOLATION Topic Definition of Interpolation Summary Textbook notes on the definition of interpolation, with graph. Major All Majors of Engineering Authors Autar Kaw Last Revised December 23, 2009 Web Site http://numericalmethods.eng.usf.edu...
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