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All corresponding deviations generated by the simulation results shown in Figure 10 are illustrated in Figure 11.
Ignoring the calculation deviations generated by Equations 4, 5, and 6 and tube size, the uncertainty of these experimental results can be expressed as follows: (10).
Ignoring the calculation deviations generated by Equations 4, 5. and 6, the uncertainty of these experimental results can be expressed as follows: (11).
Ignoring the calculation deviations generated by Equations 1, 4, 5, and 6), the uncertainty of experimental results can be expressed as follows: (12).
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Atomic shape deviations are generated by calculating, for each atom, the atom's deviation from the average molecular radius.
Error bars represent standard deviations generated from three replicate trials.
It is well known [21] that a deviation mean generated by a continuous deviation function (Ecolon mathbb {R}_^{2}to mathbb {R}) is homogeneous if and only if E is of the form (E x,y)=g y)f( frac{x}{y})) for some continuous functions (f,gcolon mathbb {R}_to mathbb {R}) such that f vanishes at 1 and g is positive.
Clearly, the deviation mean generated by E is determined only by the function f, therefore, as we are going to deal with homogeneous deviation means, let (mathscr{E}_{f}) denote the corresponding deviation mean.
The weighted deviation mean generated by (E_{p,q}) will be denoted by (mathscr{G}_{p,q}) and will be called the weighted Gini mean of parameter p, q (cf. [34]).
By plotting mean and standard deviation values generated by SNPduo++, unexpected first-, second-, and third-degree relationships can be revealed.
We also wanted to show how significant deviations in set difference estimates generated by the strata estimator can have a minor impact on performance.
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CEO of Professional Science Editing for Scientists @ prosciediting.com