Finding the best weights of the state variables and the control variables in the objective function of a linear-quadratic control problem is considered. The weights of these variables are considered as two diagonal matrices with appropriate size and so the objective function of the control problem becomes a function of the diagonal elements of these matrices. The optimization problem which is d...

Context. Weak gravitational lensing is one of the most promising tools to investigate the equation-of-state of dark energy. In order to obtain reliable parameter estimations for current and future experiments, a good theoretical understanding of dark matter clustering is essential. Of particular interest is the statistical precision to which weak lensing observables, such as cosmic shear correl...

We investigate large-amplitude baryon acoustic oscillations (BAO’s) in off-diagonal entries of cosmological power-spectrum covariance matrices. These covariance-matrix BAO’s describe the increased attenuation of power-spectrum BAO’s caused by upward fluctuations in large-scale power. We derive an analytic approximation to covariancematrix entries in the BAO regime, and check the analytical pred...

Background and Aim: One of the key aspects of maternal care is observing the progress of labor. Careful assessment of labor progress could provide mothers to be referred on time and could decrease the maternal and neonatal morbidity. This study aimed to compare diagnostic accuracy of purple line with transvers diagonal of Michaelis sacral rhomboid to predict labor progress in nulliparous and mu...

In coarse-grained parallelism, it is effective to partition the network into Bordered Block Diagonal Form (BBDF) before subsequent parallel computation. An implementation of parallel power flow calculation based on a novel graph partitioning algorithm, which transforms the admittance matrix into nested BBDF (NBBDF),is presented in this paper. In order to avoid excessive fill-ins during Gaussian...

Locally asymptotically most stringent tests for autoregressive against diagonal bilinear time series models are derived. A (restricted) local asymptotic normality property is therefore established for bilinear processes in the vicinity of linear autoregressive ones. The behaviour of the bispectrum under local alternatives of bilinear dependence shows the danger of misinterpreting skewness or ku...