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Therefore, we obtained ratings for each sentence's main idea using a bipolar response scale between 0 = extremely safe and 100 = extremely risky.
Find the main idea using the headings.
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The main component of the proposed framework is the concept of a "numerical operator", and the main idea used to design consistent, generalized monotone and stable finite difference methods is the concept of a "numerical moment".
Therefore, reliability analysis for evaluating the tunnel support performance is the main idea used in this research.
The above analysis, especially Theorem 3.1-A, shows that the nonlinear system (4.1) is approximately controllable in time T. The main idea used in the proof of the approximate controllability is to view the nonlinear system as a Lipschitz-perturbation of an approximately controllable linear system which is indicated by (4.15).
Always read for the main ideas, using only your humanity to figure things out.
Write the answer down by responding to and always completely rewording the question as an answer so you cover the main ideas using your own words and also filling in the needed info as you rephrase the query.
One of the main ideas used in these works is that of applying network coding after channel encoding.
To simplify even further the presentation of the main ideas used in the proof of Figalli et al. we shall only consider the case of the standard perimeter where inequality (5.1) reduces to the more familiar quantitative isoperimetric inequality (4.3).
It should be noticed that though the main ideas used here is similar to that in [26], the meaning of transmission in this work is different from that in [26].
Outline all of the main ideas used in the body of the essay within one paragraph.
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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