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For the values of x less than 0.01, the below approximation is applicable: E_{i} left[ { - x} right] = ln left( {1.781x} right) (20).
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Below that approximation, at a finer scale, it is incredibly difficult to read the record or make predictions.
Below are the subsequent approximations using various numbers of singular values.
Both these methods are used in this paper and the analytical approximations obtained below are compared to them.
Overall model fit was determined when the relative chi-square (chi-square divided by df) was below 2.00 and the root mean square error of approximation (RMSEA) was below 0.05.
The Method of Characteristics was developed to allow efficient LWR assembly calculations in 2D-exact heterogeneous geometry; resonant reaction calculation was improved by the optimized SHEM-281 group mesh, which avoids resonance self-shielding approximation below 23 eV, and the new space-dependent method for resonant mixture that accounts for resonance overlapping.
[19] Despite its flaws I use the social science approximation below as while this is a statistical method, the question of whether or not there is a visible preference for certain astronomical orientations in Greek temples is a social matter.
The dependence of the rate of peroxide decomposition on H2O2 concentration conforms to the Michaelis Menten approximation below 1 mM H2O2.
The equations of two-dimensional thermal convection are solved numerically for a plane horizontal fluid layer heated from below, in an extended Boussinesq approximation that admits thermal-diffusivity variations.
Below: residuals for the linear approximation and norm of residuals.
In addition, Root Mean Square Error of Approximation (RMSEA) should be below 0.05 as indication of good model-fit, or below 0.08 as acceptable model fit.
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