This paper introduces a relation between resultant and the Jacobian determinant by generalizing Sakkalis theorem from two polynomials in variables to case of (n) variables. leads us study results type: , use this attack problem. The last section shows our contribution proving conjecture.

X iv :m at h/ 03 10 27 6v 2 [ m at h. N T ] 1 3 M ay 2 00 4 ON THE HEIGHT OF THE SYLVESTER RESULTANT CARLOS D’ANDREA AND KEVIN G. HARE Abstract. Let n be a positive integer. We consider the Sylvester resultant of f and g, where f is a generic polynomial of degree 2 or 3 and g is a generic polynomial of degree n. If f is a quadratic polynomial, we find the resultant’s height. If f is a cubic pol...

The puzzle of resultant moral luck arises when we are disposed to think that an agent who caused a harm deserves to be blamed more than an otherwise identical agent who did not. One popular (but controversial) perspective on resultant moral luck explains our dispositions to produce different judgments with regard to the agents who feature in these cases as a product not of what they genuinely d...

Given an irreducible polynomial P ∈ Z[X] of degree at least three and 0 = a ∈ Z we are going to determine all those monic quadratic polynomials Q ∈ Z[X] satisfying Res(P, Q) = a. This is the first attempt for the complete resolution of resultant type equations. We illustrate our algorithm with a detailed example.

Department of Medicine B, Sheba Medical Center, Tel Hashomer, affiliated with Sackler Faculty of Medicine, Tel Aviv University, Ramat Aviv, Israel Division of Internal Medicine, Department of Medicine H, Soroka University Medical Center and Faculty of Health Sciences, Ben-Gurion University of the Negev, Beer Sheva, Israel Department of Psychiatry, Ness Ziona Mental Health Center, Ness Ziona, Is...