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By integrating human-vehicle-roadway interaction, the formulas for computing the SD on a 3-d curve are derived the first time on an analytic framework.
By considering human-vehicle-roadway interaction, the formulas for computing the SD on a 3-d curve are derived the first time on a unified analytic framework.
Two solutions are derived; the first is achieved iteratively using projected gradient descent method, the second is a closed-form solution that avoids the numerical computation, thus, resulting in a very low computational complexity.
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In the second part of the research on wave propagation in the piezoelectric coupled plate by interdigital transducer (IDT), the analytical model of the wave excitation by IDT with both infinite and finite length is derived the first time.
A connection between Hamming codes and Heapsort is shown, namely, that they can both be derived, the first from straightforward error correcting codes and the second from a simple sorting method, using almost identical derivation processes.
Explicit stability conditions are derived for the first and second moments of a two-degree-of-freedom rotating shaft.
All mathematical expressions in the paper are derived using the first principles.
The latter two peptides are derived from the first one EAK16-II.
Thus, four of the five nickel ligands are derived from the first two amino acid residues.
Optimal state feedback laws for the singular region of operation are derived for the first time.
The equations for slumping and confined toppling are derived for the first time.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com