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Further, most frequently used engineered metal nanoparticles are discussed in the forthcoming sections.
This section contains important concepts which will be used in the forthcoming sections.
The mathematical treatment of the proposed structural system is presented in the forthcoming sections.
Section 2 contains some basic notations on Malliavin calculus that will be used in the forthcoming sections.
Instead, we resort to other approaches to tackle game, especially in distributed algorithms design, as shown in the forthcoming sections.
3 for simplicity, we refer to S N (k) by only S k) in the forthcoming sections.
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We shall elaborate the derivation of the IM method in the forthcoming section.
In the forthcoming section, we give the Euler functional of BVP (1.1) and some basic lemmas.
The forthcoming section is the main result and preliminary results including the appropriate space setting to work with.
In this preliminary section, for the reader's convenience, we collect some basic results that will be used in the forthcoming section.
In the forthcoming section, we present lower and upper bounds on Randic index of connected graphs and trees in terms of modified Zagreb indices given in (4).
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