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They realized that complexity theory was a statement about physics, but they didn't realize that it mattered whether you used the true laws of physics, or some approximation, i.e., classical physics".
Hence, approximation (i) is crucial for obtaining a very simple APP computation.
There are three main versions in adaptive finite element approximation, i.e., the p-version, h-version, and hp-version.
The dynamics were investigated in the zero-beta MHD approximation, i.e., the density, pressure, and gravity were neglected.
Figure 2 also shows the distribution of in (16) obtained numerically, and its approximation (i.e., ) calculated from (17).
The hydrodynamic model is coupled to a solute transport simulation in a quasi-steady approximation (i.e. with constant liquid height).
Similar(12)
The previous algorithm was based on the following approximations: (i) gene expression dynamics were approximated by linear ordinary differential equations (ode); and (ii) the system was treated as deterministic by considering only the mean experimental data for the analysis.
The major challenges are good algorithms for sparse approximations, i.e., vector selection algorithms, and good methods for choosing or designing dictionaries/frames.
Since transform codes quantize linear projections, we perform source splitting in terms of optimal linear approximations, i.e., a linear approximation of one source is provided as decoder side-information for the other source.
It is well known that the theory of approximations, i.e., TFA, which originated from a well-known theorem of Weierstrass, has become an exciting interdisciplinary field of study for the last 130 years.
These results show that in spite of its approximations, i.e.: use of implicit solvent, neutralization of local charges, constraining the structure of the SH2 domain, the simulated annealing approach, as implemented in this work, yields reliable results in identifying the conformational trends of phosphopeptides complexed with SH2 domains.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com