Sentence examples for consequently, solutions from inspiring English sources

Consequently, solutions for modification of individual subsystems and comprehensive TCIS are necessary.

Consequently, solutions of (2) are bounded for k ∈ Z if and only if all eigenvalues of U N have modulus one and are of simple type, i.e., multiple eigenvalues have the same algebraic and geometric multiplicity.

Consequently, solutions with initial conditions in (R_{1}) converge to (E_{1}^) by a similar proof as that of Theorem 3.2(b)(ii), and (E_{2}^) is globally asymptotically stable in (R_{2}), i.e., case 5 holds.

Consequently, solutions have to be designed for the various use cases to ensure that revised and enriched metadatasets can conveniently be connected to the collections (65, 72).

Obviously, this solution does not exist if the corresponding mgf M does not exist for some λ = q(t), and, consequently, solution of the heterogeneous model does not exist at this t (e.g., there can be a blow-up; for a simple example, see ref. [ 2] in the MA).

And consequently, the solutions are verified to satisfy the differential equations in a classical sense with continuous derivatives.

This will place increasing stress on health services and consequently therapeutic solutions need to become more flexible in delivery.

There are two possible assignments to or for each crossing point and, consequently, two solutions, one for each assignment.

For political reasons, consolidation of properties into larger units, either privately or publicly owned, is generally not acceptable, and consequently other solutions need to be found.

In contrast, a time domain solution would require many time steps per period 2 π / ω and consequently the solution of a large number of real-valued linear systems.

We notice that the formulated model is a nonlinear convex problem; consequently, its solution can be solved GP method.