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It is shown that this projection can be obtained very efficiently through direct computation of the reduced linearized constraint system via directional sensitivities.
In the future, it will be of interest to study the updating techniques for sparse data problems and for those where the linear least squares problem is fixed and the constraint system is changing frequently.
To enhance the constraint handling capability, quantification, logical switch, referencing mechanism, global/dynamic constraints, meta expressions, multi-criteria optimization, and search specifications are cooperatively introduced in a single constraint system.
The Disjunctive Temporal Problems with Preferences (DTPP) – a formulation that combines the rich expressive power of the Disjunctive Temporal Problem with the introduction of metric preference functions – is studied, and transformed into a corresponding constraint system that we name the Valued DTP (VDTP).
The Mangasarian-Fromowitz constraint qualification (MFCQ) is said to be satisfied at a point (xin{mathbb{R}}^{n}) with respect to the underlying constraint system (g(x leq0), if there is a (zinmathbb{R}^{n}) such that nabla c_{i}(x)^{T}z< 0, quad iinbigl{ i: c_{i}(x geq0, iin Ibigr}.
We present a human readable language (Eugene) which allows for both the specification of synthetic biological designs based on biological parts as well as providing a very expressive constraint system to drive the creation of composite devices from collection of parts.
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Constraint systems let designs automatically adapt to devices of different sizes so you can preview complex designs cross platform.
While the optimal DR-planning problem is NP-hard even for (general) 2D bar joint constraint systems, we describe an O(n3) algorithm for a broad class of constraint systems that are isostatic or underconstrained.
Optimal recursive decomposition (or DR-planning) is crucial for analyzing, designing, solving or finding realizations of geometric constraint systems.
The main advantages of the proposed filter are its excellent stability properties and ease of implementation in standard softwares without Hessians or solving constraint systems.
Inasmuch as Horn constraints subsume difference constraints, and all known algorithms for the problem of checking feasibility of Difference Constraint Systems run in time Ω(m⋅n), the running time of our algorithm is only a factor n worse than the best known running time for checking the feasibility of Difference Constraint Systems.
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CEO of Professional Science Editing for Scientists @ prosciediting.com