The phrase "a constrained form" is correct and usable in written English.
It can be used to describe a specific structure or format that is limited or restricted in some way.
Example: "The artist chose to express her ideas through a constrained form, focusing on minimalism and simplicity."
Alternatives: "a limited structure" or "a restricted format".
Specifically, substituting ρ = R/ σ into Eq. 2 allows us to write a constrained form of the coverage probability, which in turn furnishes constrained expressions for the probabilities of events D A and D G. It is expedient at this point to switch from the event-based notation of probability used up until now to the Eulerian (functional) convention for the calculus-based aspect of optimization.
He is an artist, ultimately, restless and ambitious, and standup is a constrained form.
Mainly this: that even good genre (not Larsson or Brown) is by definition a constrained form of writing.
The use of natural-language sentences in a constrained form to search databases is allowed by some commercial database management software.
Principal response curve analysis, a constrained form of principal components analysis, demonstrated consistency with univariate analyses and identified similar populations as being sensitive to HSAS.
LASSO is a constrained form of ordinary least squares with a bound on the sum of the absolute values of the coefficients (Tibshirani 1996).
Restricting our attention to greedy algorithms, the main advantage of the ℓ2-ℓ0 penalized form is to allow both insertion and removal of elements in x, while the constrained form only allows the insertion when optimization is carried through a descent approach [30, 31].
For Johnson, after his long novel, it felt liberating to return to the shorter, more constrained form.
The constrained form is ellipsoidal.
"We are certainly constrained form having the type of debate that our nation was founded upon -- an open discussion of issues".
This necessitates a change in notation as we move from the probabilistic discovery model in Thms. 1 and 2 to the calculus-based optimization process in Thm. 3. Substituting the constraint in Eq. 5, ρ = R/ σ, into Eq. 2, we can write the constrained form of the coverage probability as (11) which now depends upon τ, R, and σ.
