A macroscopic approximation of RNA secondary structure (Vialette, CPM 2002): • a subsequence of consecutive bases → an interval • a stacked pairing of two disjoint subsequences → a 2interval Three Binary Relations For two 2-intervals D1 = (I1, J1) and D2 = (I2, J2), D1 and D2 are disjoint if the four intervals I1, J1, I2, and J2 are pairwise disjoint. Preceding: D1 < D2 ⇐⇒ I1 < J1 < I2 < J2. Ne...

We consider the special case of the traveling salesman problem (TSP) in which the distance metric is the shortest-path metric of a planar unweighted graph. We present a polynomial-time approximation scheme (PTAS) for this problem.

The tangent vector of the light trajectory at future infinity and angle total deflection in gravitational field an isolated axisymmetric body rest with full set mass multipoles spin is determined harmonic coordinates 1PN 1.5PN approximation post-Newtonian (PN) scheme. It found that evaluation caused by leads directly a compelling way to Chebyshev polynomials first second kind, respectively. Thi...

This letter considers secrecy simultaneous wireless information and power transfer (SWIPT) in full duplex systems. In such a system, full duplex capable base station (FD-BS) is designed to transmit data to one downlink user and concurrently receive data from one uplink user, while one idle user harvests the radio-frequency (RF) signals energy to extend its lifetime. Moreover, to prevent eavesdr...

We explore the combination of the extended dynamical mean field theory (EDMFT) with the GW approximation (GWA); the former sums the local contributions to the self-energies to infinite order in closed form and the latter handles the nonlocal ones to lowest order. We investigate the different levels of self-consistency that can be implemented within this method by comparing to the exact quantum ...

This work is concerned with the approximation to the solutions of the stochastic Stokes equations by the splitting up method. We apply the resolvent operator to evaluate the solution of the deterministic equations at the endpoints of every small interval, and the error is estimated.