Sentence examples for case of decomposition from inspiring English sources

The catalytic reaction may be acid-specific (acid catalysis), as in the case of decomposition of the sugar sucrose into glucose and fructose in sulfuric acid; or base-specific (base catalysis), as in the addition of hydrogen cyanide to aldehydes and ketones in the presence of sodium hydroxide.

This decomposition is also valid for the life-cycle inequality measure M D K C * o r M D K C. In the case of decomposition by subpopulation, we need to decompose the numerator and denominator simultaneously.

Finally, in case of decomposition for subgroups defined by labour market status 90%% of δ can be accounted for by within-subgroups poverty effects.

The higher order singular value decomposition (HOSVD) is a particular case of Tucker decomposition [9] with orthogonality properties.

A particular case of the decomposition of the composite self-mapping (2.20) is when such a decomposition becomes invariant and equal to T ˆ ∗ ( 0, μ ∗ ) = T ˆ p ∗ ( 0, μ p ∗ ) ⋅ T ˆ p − 1 ∗ ( 0, μ p − 1 ∗ ) ⋅ … ⋅ T ˆ 1 ∗ ( 0, μ 1 ∗ ).

In the case of the decomposition an alternative normalization is necessary.

Further, it has been shown that under various conditions reaction tends to vary as the square root of light intensity, instead of being directly proportional to it, and in the case of the decomposition of hydrogen peroxide a maximum is reached in the plot of concentration against rate.

The extension to the case of multiple decomposition layers is straightforward.

Time dependences of the reaction rate in the case of ozone decomposition by ( mathrm{M}mathrm{n}{left(mathrm{L}2right)}_2/overline{mathrm{Si}} ) complexes (L = L1 L6) are presented in Fig. 2.

These two species (α and β MoO3) were already observed by Rocchiccioli-Deltcheff et al. [27], in the case of the decomposition of 12-molybdophosphoric acid.

It seems that the issue of regulation or deregulation is still haunting the academia and industry since the case of AT&T decomposition in 1980s (Economides 1999).