The phrase "and solving the constraints" is correct and usable in written English.
It can be used in contexts where you are discussing the process of addressing or managing limitations or requirements in a particular situation, such as in problem-solving or project management.
Example: "The team focused on optimizing the design and solving the constraints that limited our options."
Alternatives: "and addressing the limitations" or "and managing the requirements".
In the proposed procedure, finding the number and location of the knots and the coefficients of the unconstrained GeD spline estimator and solving the constraint least-squares optimisation problem are separated.
It has been shown in [25] that by solving the constraints (7) and (8), the following inequality must be satisfied if there exists a feasible power assignment that meets the QoS requirements: (13).
In solving, the constraints cannot be violated; otherwise, the solutions to such problems, if ever obtained, become void.
The proposed framework is robust and easy to implement since it is based on highly accurate geodesic distance computation and solving the projected geometric constraints.
Through formulating the constraints (including two separate positions constraints and a velocity constraint) and solving the equations analytically, three 4-bar linkages, with two symmetrical coupler curves and one asymmetrical curve, will be synthesized simultaneously for given independent design parameter φ0 (or y01).
If we insert (1) into (16) and solve the coupling constraints in (15) for power values, we obtain rewritten coupling constraints as.
For solving the (constraint) minimisation problem, we use the R package nloptr [ 21].
This can be done via solving the Constraint Satisfaction Problem (CSP) as presented below.
Using convex relaxation and optimization methods, outer-bounds of the consistent parameters or states can be determined by solving the constraint satisfaction problem.
Ashtekar used a different set of variables, a complexified 'connection' (rather than a three-metric) and its canonical conjugate, which made it simpler to solve the constraints.
