Sentence examples for satisfy a system from inspiring English sources

For this class, the problems involve minimizing (or maximizing) a linear objective function whose variables are real numbers that are constrained to satisfy a system of linear equalities and inequalities.

Essential in the proof is the fact that the formal power series of certain matrix coefficients of V satisfy a system of differential equations with regular singularities.

The conjugate Poisson integrals are shown to satisfy a system of Cauchy Riemann type equations and to recover the Riesz Laguerre transforms on the boundary.

Assume that y n (x) and y n -1 x) satisfy a system (1) with d n (x e n (x) > 0 and differentiable coefficients.

Defining A jj = α j −1 reduces the scattering problem to finding the polarization P k that satisfy a system of N inhomogeneous linear complex vector equations.

Thus, the NJ algorithm will pick pairs of leaves to merge in a particular order and output a particular tree T if and only if the pairwise distances satisfy a system of linear inequalities, whose solution set forms a polyhedral cone in R (n 2 ).

The amounts of circulation exchanged must satisfy a linear system of equations.

The degree of smoothness of this spline is C2 in the interpolating interval when the parameters satisfy a continuous system.

Using dynamic programming principle, the upper and lower values of the game satisfy a coupled system of nonlinear integro-differential Hamilton Jacobi Isaacs (HJI) equations.

Here it is shown (Sleeman, op. cit)., that when the dissipation term in continuous form is added to May's difference equation, solutions period 2 in time for each value of x satisfy a Hamiltonian system in space.

In order for a first-order component begin{aligned} y'+frac{displaystyle ax+by+c}{displaystyle alpha x+beta y+gamma }=0 end{aligned} (39 to exist the constant coefficients (a,b,c,alpha,beta ) and (gamma ) have to satisfy an algebraic system.