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In this section, we provide numerical results corresponding to the examples given in Section 6.1 and Section 6.2.
The numerical results corresponding to the Examples 1 and 2 are briefly summarized in Tables 1, 2, 3, and 4, and Figs. 1, 2, 3, and 4. Comparison with other existing methods are also listed in Tables 1, 2, 3 and 4.
For μ within the critical range (see, for example, μ = 0.9 in Figure 6, corresponding to the examples illustrated in Figure 2), the population can sometimes become extinct (Figure 2b).
Data points corresponding to the examples in A are indicated.
(B ) f-I curves at both temperatures, corresponding to the examples shown in A. (C ) Results of the sensitivity analysis for the RMSD.
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13321_2017_228_MOESM1_ESM.pdf Additional file 1. Contains a screenshot of the KNIME workflow corresponding to the example command line pipe shown in Fig. 9 and a list with brief description of each command line program.
Model equations and parameters corresponding to the example.
The DEM data corresponding to the above example is too small and using the same resolutions will not be a good idea, for example, a level-3 approximate tile would require only four coefficients.
The point corresponding to this example is indicated by the blue square in the Figure 3.
The point corresponding to this example is marked by the purple circle in the Figure 3.
Example 2.5 The Bregman distances corresponding to the Legendre functions of Example 2.4 are as follows ( x, y ∈ R n ): (i) Euclidean distance: D f ( y, x ) = ∥ y − x ∥ 2 / 2. (ii) Kullback-Leibler divergence: D f ( y, x ) = ∑ j = 1 n ( y j ln ( y j / x j ) − y j + x j ). (iii) Itakura-Saito divergence: D f ( y, x ) = ∑ j = 1 n ( ln ( x j / y j ) + y j / x j − 1 ). .
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com