By Vandiver H.S.
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Additional resources for Some theorems concerning properly irregular cyclomatic fields
A zero is simple if f ′ (α) ̸= 0, multiple otherwise. From the graph of a function one can infer (within a certain tolerance) which are its real zeros. The direct computation of all zeros of a given function is not always possible. For functions which are polynomials with real coeﬃcients of degree n, that is, of the form n pn (x) = a0 + a1 x + a2 x2 + . . e. p1 represents a straight line), or the two zeros, α+ and α− , when n = 2 (this time p2 represents a parabola) α± = (−a1 ± a21 − 4a0 a2 )/(2a2 ).
A for-loop repeats the statements in the loop as the loop index takes on the values in a given row vector. For instance, to compute the first six terms of the Fibonacci sequence fi = fi−1 + fi−2 , for i ≥ 3, with f1 = 0 and f2 = 1, one can use the following instructions: >> f (1) = 0; f (2) = 1; >> for i = [3 4 5 6] f ( i ) = f (i -1) + f (i -2); end Note that a semicolon can be used to separate several MATLAB instructions typed on the same line. Also, note that we can replace the second instruction by the equivalent >> for i = 3:6.
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