The abundance of helium in the Sun's interior is estimated by the method of`model-oriented' helioseismic inversion of solar oscillation frequencies. In this method, the equations of state and thermal balance are used in addition to the hydrostatic equation. By inverting the observed p-mode frequencies, direct evidence for gravitational settling of helium has been obtained. However, the helium s...

We propose a new threshold signature scheme based on conic curve. The security of the proposed threshold signature scheme is based on the difficulty of computing the DLP in conic curve groups. It can resist some of the known attacks. Since an exciting characteristic of conic is both encoding and decoding over conic are easily implemented, it can be used in the mobile payment system with the lim...

In this paper we consider the linear symmetric cone programming (SCP). At a KarushKuhn-Tucker (KKT) point of SCP, we present the important equivalent conditions for the nonsingularity of Clarke’s generalized Jacobian of the KKT nonsmooth system, such as primal and dual constraint nondegeneracy, the strong regularity, and the nonsingularity of the B-subdifferential of the KKT system. This affirm...

The presence of helium in carbon systems, such as diamonds and fullerenes is of interest for planetary sciences, geophysics, astrophysics, and evolution biology. Such systems typically involve a large number of atoms and require a fast method for assessing the interaction potential and forces. We developed a tight-binding approach, based on density functional calculations, which includes a many...

Seafloor observatories have been the important way to observe the ocean, but applying the magnetometers to it still remain technical problems. This paper presents a smart cheaper magnetometer which was designed as the sensor node for a small seafloor network for geomagnetic observation. System design was described in modules at first. The calibration method of the whole system so as to alleviat...

In this paper, we consider block-decomposition first-order methods for solving large-scale conic semidefinite programming problems given in standard form. Several ingredients are introduced to speedup the method in its pure form such as: an aggressive choice of stepsize for performing the extragradient step; use of scaled inner products; dynamic update of the scaled inner product for properly b...

We introduce Newton-ADMM, a method for fast conic optimization. The basic idea is to view the residuals of consecutive iterates generated by the alternating direction method of multipliers (ADMM) as a set of fixed point equations, and then use a nonsmooth Newton method to find a solution; we apply the basic idea to the Splitting Cone Solver (SCS), a state-of-the-art method for solving generic c...