This paper proposes a modified sine cosine algorithm (MSCA) for discrete sizing optimization of truss structures. The original sine cosine algorithm (SCA) is a population-based metaheuristic that fluctuates the search agents about the best solution based on sine and cosine functions. The efficiency of the original SCA in solving standard optimization problems of well-known mathematical function...

We use the quantum sine-Gordon model to describe the low-energy dynamics of a pair of coupled onedimensional condensates of interacting atoms. We show that the nontrivial excitation spectrum of the quantum sine-Gordon model, which includes soliton and breather excitations, can be observed in experiments with time-dependent modulation of the tunneling amplitude, potential difference between cond...

Modeling high-order nonlinear systems is an important issue in audio signal processing. It may be employed in real-time emulation of analog nonlinear systems, such as guitar distortion and amplifiers or other vintage electronic audio systems. This paper proposes a new method for obtaining an economical black-box model of nonlinear systems using the swept-sine technique, which extracts the harmo...

The one-loop free energy of the four-dimensional compact QED, which is known to be equivalent to the vector Sine-Gordon model, is calculated in the strong coupling regime. In the case, when the norm of the strength tensor of the saddle-point value of the corresponding Sine-Gordon model is much larger than the typical inverse area of a loop in the gas of the monopole rings, the obtained free ene...

This paper deals with some fundamental properties of the sine-wave fit algorithm included in IEEE Standards 1057 and 1241. Asymptotic Cramér-Rao bounds for threeand four model parameters are derived under the Gaussian assumption. Further, the sine-wave fitting properties of the algorithm are analyzed by the parsimony principle. A decision criterion whether to use the threeor four parameter mode...

Stereo vision is an area in which we are increasingly able to construct detailed numerical models of the computations carried out by cerebral cortex. Piecewise-frontoparallel cross-correlation is one such model, closely based on the known physiology and able to explain important aspects of human stereo depth perception. Here, we show that it predicts important differences in the ability to dete...

2 Run Oscope 3 2.1 Required inputs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Normalization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 Pre-processing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.4 Rescaling . . . . . . ....

Helen Au-Yang Eigenvectors of the superintegrable chiral Potts model We show that the eigenspaces of eigenvalues (1−ωt)+ω(1− t) of the τ2(t) matrix of size N×N are degenerate. In the Q = 0 case, it has 2 independent eigenvectors, where r = L(N − 1)/N and L is chosen to be a multiple of N . They can be written in terms of the generators of r simple sl2 algebras, E±m and Hm (m = 1, · · · , r). Ne...

This work is focused on the finite element study of the energy absorbing behavior of aluminum (corrugated webs). The aim is to study the mechanism of energy absorption in specific metallic structures by understanding these mechanisms. The sine wave web (or corrugated web) structural component constructed of aluminum has been chosen as the specific structural element for this study. The sine wav...