The phrase "and consequently the solution" is correct and usable in written English.
It can be used to indicate that a result or conclusion follows logically from what has been previously stated.
Example: "The data showed a significant increase in sales, and consequently the solution was to expand our marketing efforts."
Alternatives: "therefore the solution" or "as a result the solution".
As we observe there, we may design the eigenvalues and consequently the solution trajectories.
In the dynamic mode, customers' requests arrive when the service is already running and, consequently, the solution may change whilst the vehicle is already travelling.
Now we can easily obtain the expressions of the other auxiliary functions and consequently, the solution of the jump problem in the domains and.
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.
However, it is possible that none of the values of bandwidth satisfy the PU interference constraint within the given power budget, and consequently the solution to the above problem does not exist.
In (3.6), first we solve this system for vector α ˙ Open image in new window by using a variant of the Thomas algorithm only once at each time level t > 0, then we get a first-order system of ordinary differential equations which can be solved for vector α by using SSP-RK54 scheme, and consequently, the solution U N (x,t) is completely known.
And consequently, the solutions are verified to satisfy the differential equations in a classical sense with continuous derivatives.
Thus inequality (2.12) is proved and, consequently, the zero solution of system (1.1) is exponentially stable in the metric.
Hence, there is no need for applying multi-convexity or other relaxation techniques and consequently the proposed solution delivers a less conservative design method.
Since, all conditions of Theorem 2.6 are satisfied and, consequently, the zero solution of (4.2), (35) is asymptotically stable in the metric.
Prior to the injection of Se, 3 mmol oleic acid was dropwise added into the reaction flask at 20 mL/h and consequently, the reaction solution was allowed to react for 10 min under the given conditions.
