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For the case of spherical geometry, three examples of the function α(r) with steady and oscillatory solutions are considered.
Now, we give some concrete examples of the function κ.
For examples of the function F the reader is referred to [12] and [11].
Now let us give some concrete examples of the function (k(cdot)).
To see the generality of our results, let us give a few examples of the function (k(cdot)).
end{cases} Fig. 4 Examples of the function (tmapstotheta_{1}^{(f)}(t)) for (tin[0,tau]) in each TW case of Lemma 3.1.
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Some concrete examples of the functions belonging to logarithmic Bloch-type spaces can be found in the next lemma.
Figure 7 shows examples of the functions for specimens in an azimuth of 45° clockwise from the reference direction (R045 in Fig. 2).
Figure 9 shows examples of the functions for specimens of FKO379-135, whose azimuth is 135° clockwise from the reference direction (R135 in Fig. 2).
We therefore estimated the magnitude of axial stress in this azimuth to be 11.6±0.6 MPa. Figure 8 shows examples of the functions for specimens of FKO379-090, whose azimuth is 90° clockwise from the reference direction (R090 in Fig. 2).
The simplest examples of the functions g(N) are plotted in Figure 1(a).
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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