Sentence examples for decomposition of components from inspiring English sources

The spectral decomposition of x ∈ V can be defined straightforwardly by using the spectral decomposition of components x ( j ) ∈ V j as follows: x = ( ∑ i = 1 r 1 λ i ( x ( 1 ) ) c i ( 1 ), …, ∑ i = 1 r N λ i ( x ( N ) ) c i ( N ) ) T. (11).

The Peirce decomposition of x ∈ V can be defined straightforwardly by using the Peirce decomposition of components x ( j ) ∈ V j as follows: x = ( ∑ i = 1 r 1 x i ( 1 ) c i ( 1 ) + ∑ i < m 1 x i m 1 ( 1 ), …, ∑ i = 1 r N x i ( N ) c i ( N ) + ∑ i < m N x i m N ( N ) ) T. (17).

No other hierarchical decomposition of the components gave a satisfactory result, suggesting that each of the disconnected components is relatively uniformly connected and may be treated as a structural network unit (Fig. 3a).

He proposes a bivariate decomposition of unobserved components.

The weight loss could be attributed to fragmentation or decomposition of labile components in the sample.

Furthermore, Table 4 indicates the decomposition of heavy components into three pseudo-elements with the help of exponential distribution function.

The average diameter of calcined fibers was smaller than that of as-spun fibers because of the decomposition of organic components as the temperature increased.

A sharp weight loss of about 35% occurs between 100 and 300 °C, as a result of decomposition of volatile components such as NO3 −1, Cl−1, and H2O.

Only reactor solid load was statistically insignificant for char ash content, which increased based on increasing treatment temperature due to the decomposition of organic components.

The advantage of this technique is the decomposition of the components of the biological system in a set of wavelengths each one associated to a specific spatio-temporal character.

The rate of weight loss between 240°C and 374°C was faster than at any other temperature, and an exothermic peak attributed to the decomposition of organic components was observed.