Sentence examples for variation define from inspiring English sources

Moreover, the corresponding function g has exponential decay of variation: define the n-th variation of g by text{var}_{n}(g) := sup_{boldsymbol{y},boldsymbol{tilde{y}}: y_{0}^{n-1}={tilde y}_{0}^{n-1}} bigl| g(boldsymbol{y} -g(boldsymbol{y} -g{y}})boldsymbol{tilde{ythen rho(p,varepsilon) =limsup_{ntoinfty} left(text{var} bigr|)right)^{frac 1n} <1.

For all these cases, the degrees of freedom for the different components of variation sum up to the dimensionality of the shape tangent space and the components of variation define complementary subspaces.

The interplay between relative amounts of uncorrelated measurement error, correlated measurement error and biological variation defines this impact.

Due to the stochastic nature of manufacturing processes, the functionality of mechanical assemblies is subject to variation defined by tolerances and manufacturing process characteristics.

This way of calculating the SC rate of variation defines the sharpness of the SC precisely.

Here (operatorname{BV}(mathbb{Z}^{d})) represents the set of functions of bounded variation defined on (mathbb{Z}^{d}).

where BV is the space of functions of bounded variation defined on Ω, and μ > 0 is a parameter to be chosen.

It is related to the class of functions with bounded Mocanu variation defined by Coonce and Ziegler [6] and intensively investigated by Noor et al. [24 27].

The coefficient of variation, defined as S.D. divided by the mean is 0.1 for events with 10 ms latency and even less with shorter latencies.

The proportion of the sum of the eigenvalues above this plateau provides a measure of the relative amount of substructure variation defined by each PC (Figure 3b).

The current study shows that mtDNA genetic variation, defined in terms of haplogroups, and environmental factors may interact becoming relevant to the pathogenesis of a human disease.