Sentence examples for Problem satisfy from inspiring English sources

Then problem (5.10), (5.11) is uniquely solvable for every summable and and the elements of the second row of Green's matrix of this problem satisfy the inequalities:     while   for.

In Section 4 we exhibit the concentration arguments in order to prove that the solutions of the modified problem concentrate around a k-dimensional sphere; and in the last section we complete the proof of Theorem 1.1 by showing that the solutions of the modified problem satisfy the original one.

Then the corresponding eigenfunctions u ( x ) and v ( x ) of this problem satisfy the following equality: ∫ − 1 0 u ⊤ ( x ) v ( x ) d x + δ 2 ∫ 0 1 u ⊤ ( x ) v ( x ) d x = − δ 2 ρ R a ( u ( x ) ) R β ( v ( x ) ). (2.15).

Then the corresponding eigenfunctions f and g of this problem satisfy the following equality: frac{h_{1}}{p_{1}} int_{-1}^{0}Af(x overline{g(x)},dx+ frac{h_{2}}{p_{2}}int_{0}^{1}Af(x overline{g(x)},dx=0.

The sub-networks that can be identified with CoPE-FBA and explain the numbers of vertices for a given FBA problem satisfy three conditions: (i) only reactions belonging to a specific sub-network display correlation in flux values across the optimal solution space, (ii) fixed net input output stoichiometry of reactants, and (iii) thermodynamic feasibility.

In the case discussed here where the solution is expected to be spatially sparse, CS uses the insight that the most spatially sparse solution satisfying Eq. (1) is the exact solution with high probability (if the problem satisfies the necessary conditions [ 4, 5]).

Assume that the solution of the PDAC problem satisfies inequalities.

When a posed problem satisfies no constraint, the problem is meaningless.

(ii) It is easy to see that the problem satisfies the assumptions of Theorem 9.

According to the analytical results, a solution to the problem satisfies where is a root of.

The first posed problem satisfied all constraints, so it must be meaningful.