In this paper, we study the linear stability of elliptic rhombus solutions, which are Keplerian homographic solution with central configurations in classical planar four-body problems. Using $\omega$-Maslov index theory and trace formula, prove instability solutions if shape parameter $u$ eccentricity orbit $e$ satisfy $(u,e) \in (1/\sqrt{3}, u_2)\times [0, \hat{f}(\frac{27}{4})^{-1/2})\cup (u_...

A rejection algorithm { called transformed density rejection { that uses a new method for constructing simple hat functions for an unimodal, bounded density f is introduced. It is based on the idea to transform f with a suitable transformation T such that T (f(x)) is concave. f is then called T-concave and tangents of T (f(x)) in the mode and in a point on the left and right side are used to co...

In this pare, a wideband three-order bandpass filter (BPF) is proposed. The proposed wideband filter is designed using the substrate integrated waveguide (SIW) structure by loading T-shape slots. A BPF with two resonators is formed by etching T-shape slots with different size on the top metal plane of the SIW structure. The filter is investigated with the theory of coupled resonator circuits. T...

Statefinder diagnostic is a useful method which can differ one dark energy model from the others. The Statefinder pair {r, s} is algebraically related to the equation of state of dark energy and its first time derivative. We apply in this paper this method to the dilaton dark energy model based on Weyl-Scaled induced gravitational theory. We investigate the effect of the coupling between matter...

Existing turnover models have been developed and tested almost exclusively in Anglo cultures. Thus, there is reason to question whether these models apply to workers elsewhere. We addressed this question using as participants 47 Mexican maquiladora workers. Through interview responses analyzed using a variation of grounded theory-building, we inductively created a model of voluntary turnover wi...

We use exact diagonalization to study energy level statistics and out-of-time-order correlators (OTOCs) for the simplest supersymmetric extension $\hat{H}_S = \hat{H}_B \otimes I + \hat{x}_1 \sigma_1 \hat{x}_2 \sigma_3$ of bosonic Hamiltonian $\hat{H}_B \hat{p}_1^2 \hat{p}_2^2 \hat{x}_1^2 \, \hat{x}_2^2$. For a long time, this was considered one systems which exhibit dynamical chaos both classi...

Stephen B Maurer ([email protected]) received his Ph.D. from Princeton in 1972, under A. W. Tucker. He is a mathematics professor at Swarthmore College, where he was also an undergraduate. He is coauthor of Discrete Algorithmic Mathematics, with Anthony Ralston. At one time he chaired the MAA high school contests, and he has written guides for undergraduates on writing mathematics. At par...