The phrase "a constrained case of" is correct and usable in written English.
It can be used when discussing a specific instance or example that is limited or restricted in some way.
Example: "This study presents a constrained case of the broader phenomenon we are investigating."
Alternatives: "a limited instance of" or "a restricted example of".
This primitive is useful as a constrained case of the Graft with One Guide Atom primitive, because both of the connection angles and the bond distance can be defined prior to the grafting process, which is particularly useful if the subject contains an irregular geometry or nondefault bond distance.
As these models are hierarchical (the null model is a constrained case of the alternative model), twice the difference in log likelihood (likelihood ratio) should follow a χ distribution with the degrees of freedom (df) equal to the number of discrete phenotypes plus one for the proportion of sites.
We have shown in a previous article [ 12] a numerical approximation for the constrained case of the covariance of two OPA distances involving a common sequence (i.e. on a triplet of sequences), for empirical substitution models such as PAM or JTT.
We examine tools and trends existing in collaborative design today and propose a repository and its software implementation for the most constrained case of collaboration in design: collaborative conflict handling.
In the less-constrained case of DPC, the issue of non-convexity for the broadcast channel can be avoided by operating on the dual MAC instead.
The constrained case (joint limits) of the RL scheme was tested for a single link (elbow flexion) of the BERT II arm by modifying the cost function to deal with the extra nonlinearity due to the joint constraint.
Since rainfed agriculture is more likely than irrigated agriculture to compete with forest, the constrained case shows greater conversion of forest compared to the unconstrained case globally (up from 28.9% in the unconstrained case to 31.5% in the constrained case, see Table 2).
This table indicates that as we move from the unconstrained case to the constrained case, the land use impacts of biofuels increase.
Secondly, an analytical method for the constrained case is developed.
While sparse realizations are generally structurally non-unique (as it will be illustrated for the constrained case, too, in Example 1), the structure of dense realizations with a given complex set is unique, and it contains every possible dynamically equivalent structure as a proper subgraph (i.e. a dense realization is a kind of super-structure) [ 71].
Well-constrained case studies of transient landscape responses are needed to improve our understanding of erosion processes associated with drainage captures.
