It is a breakthrough procedure for computing the algebraic group associated with the equation, called its differential Galois group.
The collapse only happens when considering the algebraic fibring at the semantical level: in Caleiro and Ramos 2007 was shown that the collapse does not occur when computing the algebraic fibring of the respective Hilbert calculi.
Subsequently, Li and Li [6] studied two sign-changing solutions of a class of second-order integral boundary value problems by computing the eigenvalues and the algebraic multiplicities of the corresponding linear problems.
For example, πn(Sn)=Z is the cobordism group of framed 0-dimensional submanifolds of Sn, computed by the algebraic sum of their points, corresponding to the degree of maps f:S^n \to S^n.
In this paper we give a new projection-based algorithm for computing the topology of a real algebraic space curve given implicitly by a set of equations.
By introducing the Hermite algebra this becomes a direct, purely algebraic way of computing the posterior, which is comparatively inexpensive to evaluate.
We study them separately, in particular, by computing their generating series (as algebraic functions).
Total respiratory heat exchanges, or enthalpy changes, of the ventilated gases are generally computed by summing the algebraic values of the convective, or sensible, heat exchanges (Equation 1) and the evaporative, latent, or insensible, heat exchanges (Equation 2).
Inspired by the previous idea, recently the 3D N-linear algebraic molecular descriptors have been introduced as a novel mathematical procedure for computing the structural features of chemical compounds [24 26].
We develop a general framework for computing the adjoint variable to nuclear engineering problems governed by a set of differential algebraic equations (DAEs).
