But Secretary of State Colin L. Powell used a slightly different formulation to the "regret" expressed last week.
We argue that a DSS should execute different formulations of the problem that lead to satisficing solutions guiding DSS users in finding the best approach to solve complex problems.
The different formulations address the problem of finding the shape of the representative microstructural element for random heterogeneous media that increase the elastic moduli and thermal conductivity compared to existing products.
We performed three sets of experiments, in order to compare the different methods in different settings and to test different formulations of the GNA problem.
Moreover, further examples from Section 6 show that our frame also covers conforming AFEM for non-symmetric problems [17,18,49], linear elasticity [30,50,51], and different formulations of the Stokes problem [50 55].
There are several different formulations tailored to different skin problems, as well as how deeply the peel needs to go into your skin.
Making use of classical results from global pairwise alignment we show how a different formulation of the alignment problem can map sequences to a feature space of insertions, deletions and substitutions and gives rise to a pd kernel.
These proposed general noise SVR models use a different cost function and hence a different formulation of the optimization problem from the one applied in classical (epsilon -SVR.
In Section 5, these axioms are met for different formulations of the Poisson model problem and allow to reproduce and even improve the state-of-the-art results from the literature for conforming AFEM [14,15], nonconforming AFEM [20,22,25,28], mixed AFEM [19,29,31], and ABEM for weakly-singular [32 35] and hyper-singular integral equations [33,36].
