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Detailed computations have been performed by steady-state simulations of these cases using detailed chemistry with the GRI 3.0 mechanism, multi-component mixture-averaged transport and an optically thin approximation for radiative heat losses.
Detailed computations have revealed that the use of a simple tensile fracture criterion can reproduce the observed fracture patterns precisely.
Detailed computations predict, furthermore, that the size effect to the local displacement at specimen failure is correlated with the inverse of the square of the specimen size, O l2/D2).
Detailed computations on the influence of the chemical reaction parameter (A_{2}), the thermal radiation parameter R, the number Sc, the heat absorption/generation parameter (Q_{1}), and the Prandtl number on the flow velocity, temperature, and concentration distributions are illustrated graphically and in table format.
For most applications, detailed computations of the radiative transfer should be applied.
The author gives detailed computations of the Lawson criterion.
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As far as we are aware, there has never been a detailed presentation of filament dynamics in whole heart simulations with highly anatomically detailed computation meshes.
Detailed computation of the thermodynamic properties of monoatomic and diatomic species can be performed by applying formulas from statistical thermodynamics.
First of all, since f is globally bounded, by Hölder's inequality and Assumption 3, detailed computation leads to begin{aligned}[b] mathbb{E}I_{2}&=4^{2p-1} mathbb{E}I_{2}&=4^{2p-1}{t}S_{t-s}f bigglVert}^{epsint_{kdelta^{epsilon}bigr),ds biggrVert ^{2p} &leq C |t-kdelta|^{t}S_{t-s}f{kdelta}^{t}big| fbigl(X_{s}^{epsilon}},Y_{s}^{epsilon}bigrr)big| ^{2p},ds &leq C |t-kdelta|^{2p}.
After subtraction of those already entered in care, we found that 221 patients were expected to enter in care after 2011 (see detailed computation in Additional file 1).
By applying this proportion of re-entry to the patients not retained in care in the following years and then subtracting those already re-entered in care, we estimated that 940 persons were expected to re-enter in care after 2011 (see detailed computation in Additional file 1).
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