Now, using our conditions outlined in equations 2 5, we can make approximations to define the potential functions ψ 1 (inside the nanowire) and ψ 2 (outside the nanowire) as the following: ψ 1 = K 1 + ∑ n = 1 ∞ r n A n sin nθ + B n cos nθ (21) ψ 2 = K 2 − E o r cos θ + ∑ n = 1 ∞ 1 r n C n sin nθ + D n cos nθ (22).
Scientists frequently make approximations to computational models without recognizing them as such, and therefore do not document these approximations in their publications.
In spite of their benefits, many distributed approaches must make approximations in order to operate with either complete or partial independence from a central controller, leading to varying levels of sub-optimality.
Distributed approaches have been presented in the literature and often utilize features of network structure to make approximations, for example through decomposition of the network sensitivity matrix in order to form independent regions [2].
In this section we give a brief introduction to latent Gaussian models and how INLAs can be used to make approximations for posterior marginals for these models.
Many papers resort to making approximation by truncating high order terms of a Taylor series [14 16, 18 20].
"You cheat, you look for ways to cut corners, make approximations here or there, ask yourself how you can play with the system, what if I lose this grip or that wedge, how does it change?
The band sampled the drum track with a digital sampler and edited it with a Macintosh, but admitted to making approximations in emulating Shadow's style due to their programming inexperience.
We did, however, make approximations using the FFQ data.
In order to make an approximation to the composition of the extracts or fractions with antiviral activity in this study, we carried out the following qualitative chemical tests: Liebermann-Burchard, ammonium molybdate, ferric chloride, Dragendorff reagent, Bornträger, Shinoda, Salkowski, Baljet, Molisch and foam index.
We proceed to analyze the traditional algorithm without making approximation.
