Sentence examples for exponential decomposition from inspiring English sources

Of use will be matrix exponential decomposition (mathrm {e}^{A t} = P mathrm {e}^{Lambda t} P^{-1}), where (Lambda= operatorname{diag} (lambda^,lambda^)) are the eigenvalues of A with associated eigenvectors (q^{pm}= (1, (lambda^{pm}- A_{11})/A_{12}, )^{T}).

It was shown that there are only three components in the exponential decomposition of the kinetic curve of fluorescence induction for the leaves of plants of different genotypes grown in normal conditions, and the sum of these components well correlates with the experimental curve (Fig. 4).

This approach determines the input of wood products into the HWP carbon storage pool and calculates the withdrawal from the product store (products with long, medium and short life-span (e.g. paper) as well as fuel wood) on the basis of a mathematical function (exponential decomposition curve).

To model CWD decomposition, exponential decay functions, which assume a homogeneous substrate that decays at a constant rate, have been used in the majority of cases (Mackensen et al. 2003).

This study demonstrated that the power function model was much more accurate than the exponential decay model in describing the decomposition dynamics of soil organic carbon (SOC) in mineral soils of subtropical forests.

The eigen-decomposition of yields the exponential decay constants for these local dynamics, where λ m <1 denotes any positive eigenvalue (Fig. 4B).

Instead of using the DFT coefficients in VAD, this article presents a novel approach by using the complex coefficients derived from complex exponential atomic decomposition of a signal.

Leaf decomposition k-values were computed using an exponential decay model that assumed the rate of loss from leaf packs was a constant proportion over time.

Exponential decay model has been widely used to describe the dynamics of SOM decomposition (Paul et al. 1999; Iqbal et al. 2009), but few previous studies have tested the generality of its use in comparison with the other models.

The exponential decay model was first proposed by Jenny et al. (1949) and later developed by Olson (1963) to quantitatively describe the first-order kinetics of SOM decomposition.

Some exponential-based decomposition methods have been developed for solving global optimization of GGP problems.