Resultants and loop closure
نویسندگان
چکیده
منابع مشابه
Resultants and Loop Closure
The problem of tripeptide loop closure is formulated in terms of the angles { i}i 1 3 describing the orientation of each peptide unit about the virtual axis joining the C atoms. Imposing the constraint that at the junction of two such units the bond angle between the bonds C ON and C OC is fixed at some prescribed value results in a system of three bivariate polynomials in ui : tan i/2 of degre...
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Consider two differential operators L1 = ∑ aid i and L2 = ∑ bjd j with coefficients in a differential field, say C(t) with d = ∂ ∂t for example. If the ai and bj are constants, the condition for the existence of a solution y of L1(y) = L2(y) = 0 is that the resultant in X of the polynomials (in C[X]) ∑ aiX i and ∑ bjX j is zero. A natural question is: how one could extend this for the case of n...
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Resultants, Jacobians and residues are basic invariants of multivariate polynomial systems. We examine their interrelations in the context of toric geometry. The global residue in the torus, studied by Khovanskii, is the sum over local Grothendieck residues at the zeros of n Laurent polynomials in n variables. Cox introduced the related notion of the toric residue relative to n + 1 divisors on ...
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ژورنال
عنوان ژورنال: International Journal of Quantum Chemistry
سال: 2005
ISSN: 0020-7608,1097-461X
DOI: 10.1002/qua.20751