One can prove that this works provided that one discards modular images with non-minimal degree, and avoids ideals " I " modulo which a leading coefficient vanishes.
32.
For instance, there is a computable model of "'Q "'consisting of integer-coefficient polynomials with positive leading coefficient, plus the zero polynomial, with their usual arithmetic.
33.
There is an alternative convention, which may be useful e . g . in Gr�bner basis contexts : a polynomial is called monic, if its leading coefficient ( as a multivariate polynomial ) is 1.
34.
Assuming though that the condition is not met, we will perform a Linear transformation by substituting y-\ lambda for x . ( note that we've already divided out the leading coefficient .)
35.
The Stark conjectures, in the most general form, predict that the leading coefficient of an Artin L-function is the product of a type of regulator, the Stark regulator, with an algebraic number.
36.
We need the first condition because if the leading coefficient is negative then f ( x ) for all large x, and thus f ( n ) is not a prime number for large positive integers n.
37.
For example, let " P " be an irreducible polynomial with integer coefficients and " p " be a prime number which does not divide the leading coefficient of " P ".
38.
The leading coefficient of the first row is 1; 2 is the leading coefficient of the second row; 4 is the leading coefficient of the third row, and the last row does not have a leading coefficient.
39.
The leading coefficient of the first row is 1; 2 is the leading coefficient of the second row; 4 is the leading coefficient of the third row, and the last row does not have a leading coefficient.
40.
The leading coefficient of the first row is 1; 2 is the leading coefficient of the second row; 4 is the leading coefficient of the third row, and the last row does not have a leading coefficient.
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