The phrase "and the corresponding solution" is correct and usable in written English.
It can be used when discussing a problem and its related solution, often in technical or analytical contexts.
Example: "After identifying the issue, we need to outline the problem and the corresponding solution to ensure clarity in our report."
Alternatives: "and the related solution" or "and the appropriate solution".
The optimization model and the corresponding solution algorithm can provide theoretical guidance for process design and production practice of the turbo-expander process.
Substituting these values from (34) and the corresponding solution of ODE (13) into (27) yields three types of traveling wave solutions of equation (26) as follows.
The proposed GESR-LR method and the corresponding solution are described in "Combined graph embedding and sparse regression with structure low-rank representation" section.
Substituting these values of A 0, A 1 and the corresponding solution of ODE (13) into (14), we obtain three types of traveling wave solutions of equation (7).
Finally, a case study is used to demonstrate the application of the multi-criteria model and the corresponding solution method for its effectiveness in planning urban earthquake evacuation shelters.
The latter case is covered by the above formulas (2.31) and (2.32) since it can be treated as system (2.28) considered previously (with ) when, and the corresponding solution is described by the formula (2.29).
and denote the corresponding solution by ( u ( k ), q ( k ), η t ( k ) ) with h ( k ) = h ( η ( k ) ).
It is based on the definition of the fourth-order differential equation governing the modal response cross-correlation and of the corresponding solution.
After deriving the boundary value problem and illuminating the corresponding solution procedure, a parametric study is carried out that considers cases that are relevant for railway practice.
We proposed a new iterative regularization method for GIB by iteratively redefining the form of regularization matrix and calculating the corresponding solution.
And therefore the corresponding solution is to supply opportunity by ending discrimination, providing education, training, child care, transportation and investing public and private funds to create new jobs.
