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By Theorem 2.9 and the above results, we have the following characterization of degree of critical points.
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An inverse linear relationship between the G-band normalized 267 cm−1 RBM intensity and the PL emission intensities for SWCNT dispersions with different degrees of exfoliation was experimentally observed, indicating this can be used for quantitative characterization of the degree of exfoliation for a given SWCNT sample.
Simultaneous characterization of the degree of branching and molar mass on a molecular level for hyperbranched polymers is still strongly limited.
Secondly, it generates large-scale networks that have a rational and strategic microfoundation and demonstrate the main characterization of small degree of separation in real-life social networks.
Previous studies on characterization of the degree of weathering of large exposed stone relics have focused mainly on experimental or test analyses, which involve sampling methods that may bring further effect on relics.
Experimental results show that, for images with rich texture contents, the effective characterization of the degree of self-similarity in the texture patterns based on our proposed approach leads to improved image enhancement results when compared with conventional approaches.
Distinguishing the factors that are relevant and crucial for the characterization of the degree of aggressiveness of the disease is thus a key question that novel approaches, like systems biology, might help to tackle.
Fig. 4 Characterization of four degrees of freedom.
By using critical point theory, Lyapunov-Schmidt reduction method, and characterization of the Brouwer degree of critical points, sufficient conditions to guarantee the existence of five or six solutions together with their sign properties to discrete second-order two-point boundary value problem are obtained.
Finally, the third nontrivial solution to (1.1) is obtained by Lyapunov-Schmidt reduction method, and its characterization of the local degree results in one or two more nontrivial solutions to (1.1) together with their sign property.
To obtain more refined results, we seek the third nontrivial solution to (1.1) by Lyapunov-Schmidt reduction method and then its characterization of the local degree results in one or two more nontrivial solutions to (1.1) together with their sign property.
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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