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OpenCL Programming by Example
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In least square curve fitting (line and parabola), we are given two interdependent scalar quantities described by two variables say X and Y, but the exact relationship between them is not known in terms of a function like Y =f(X). But instead we are given N pair of values (xi, yi) for i equals 1,2,…, N, which exactly means that when X takes the value xi, then Y takes the value yi. Generally X is called the independent variable and Y is called the dependent variable. We have to construct a function like Y =f(X) which approximates the exact relationship between X and Y. This function f(X) would be constructed using the given set of value pairs (xi, yi). Since function f is approximating the original function and choice of function f is in our hand, we choose a polynomial function for simplicity and also are motivated by a theorem in mathematical analysis called Stone Weierstrass Theorem. Informally speaking this theorem states that in every...
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