![]() Thus, we can find k from the relationship k=mg/δ. Different masses m are hung from the spring, and the corresponding deflections δ of the spring from its unstretched configuration are measured.įrom physics, we have that F=kδ and here F=mg. The following data is collected from an experiment aimed at measuring the spring constant of a given spring. Thus if a is 5 elements long, the polynomial to be evaluated is automatically ascertained to be of the fourth-order.īoth polyfit and polyval use an optimal argument if you need error estimates. Hence, the length of the vector a is n+1, and, consequently, the order of the evaluated polynomial is n. ![]() Given a data vector x and the coefficients of a polynomial in a row vector a the command y=polyval(a, x) evaluates the polynomials at the data points x i and generates the values y i such that The coefficients are arranged in the decreasing order of the power of x, i.e.,a=. Given two vector x and y, the command a=polyfit (x, y, n) fits a polynomial of order n through the data points (x i,y i) and returns (n+1) coefficients of the power of x in the row vector a. For example, the equation P(x) = x 4 + 7x 3 - 5x + 9 can be represented as. MATLAB performs, polynomials as row vectors, including coefficients ordered by descending powers.
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