Sentence examples for characterization of solutions from inspiring English sources

We propose a new heuristic for approximating the maximum clique problem based on a detailed analysis of a class of continuous optimization models which provide a complete characterization of solutions to this NP-hard combinatorial problem.

Ehlers' doctoral work was on the construction and characterization of solutions of the Einstein field equations.

This is illustrated by the toy examples in Figures 1 and 2. Next, we provide a characterization of solutions to the MKL problem.

Kavlock points out that Tox21 plans on chemical characterization of solutions being tested in order to confirm the identity of the chemical, its purity, and its stability in DMSO an expensive but necessary step, he says, to build confidence in the resulting data.

In [16 19], optimality conditions and a characterization of solution sets of set-valued optimization problems involving generalized invexity are investigated.

Combining the structural characterization of solution crystals fabricated from thiophene-based conjugated polymers with different molecular structures and a theoretical investigation of the polymer conformational transformability leads to an interesting discovery of the relationship between the molecular structures and their crystallization behaviors.

Full product characterization of solution and gas phase products is reported using H NMR spectroscopy and online GC analysis, respectively.

A complete characterization of solution exchange using various flow rates and the numerical simulation results have been published previously.

Applications of the theorem include dynamic characterizations of solutions of stochastic partial differential equations (spde's) with anticipating initial conditions and non-ergodic stationary solutions.

For convex semidefinite optimization problem, Lagrangean duality without constraint qualification [1, 2], complete dual characterization conditions of solutions [1, 3, 4], saddle point theorems [5], and characterizations of optimal solution sets [6, 7] have been investigated.

In the second approach, two solutions are obtained with the characterization of the solutions of two ordinary differential equation systems.