Numerical evaluation of exact high-order modes of uniform Timoshenko beams is a classic problem in the field of acoustics and vibration. In the classic method, however, the determinant of the frequency matrix dominated by hyperbolic functions can increase exponentially and quickly reach the prec...detailed
Exact D-optimal Bayesian designs for time series experiments are discussed in this article. This work is motivated by an RNA sequencing experiment and two disease surveillance studies, where the response is count type and has a correlated structure over time points. The conditional distribution ...detailed
The heterogeneous green pickup and delivery problem (GPDP) aims to minimize carbon emissions of pickups and deliveries by a fleet of heterogeneous vehicles. We propose the first exact algorithm for solving the heterogeneous GPDP. This exact algorithm is based on a set partitioning model and the ...detailed
McDougall (1989) proved that neutral surfaces possess an exact geostrophic streamfunction, but its form has remained unknown. The exact geostrophic streamfunction for neutral surfaces is derived here. It involves a path integral of the specific volume along a neutral trajectory. On a neutral sur...detailed
This paper deals with two main aspects of Photovoltaic systems. One is the analysis of Photovoltaic panel using the datasheet values provided on the PV panel and the other is to find the exact values of parameters of PV panel. Characterization of PV panels refers to the ability to predict the pa...detailed
In this paper we study the asymptotic behaviour of an exact controllability problem for a second order linear evolution equation defined in a two-component composite with ε-periodic disconnected inclusions of size ε. On the interface we prescribe a jump of the solution that varies according to...detailed
Using generalized enriched categories, in this paper we show that Rosický's proof of cartesian closedness of the exact completion of the category of topological spaces can be extended to a wide range of topological categories over Set, like metric spaces, approach spaces, ultrametric spaces...detailed
Hirota equation has been studied in the past years, which can be used to describe the nonlinear waves in the fluids and nonlinear optical fibers. In this paper, nonlocal Hirota equations with the space (S)-, time (T)- and space–time (ST)-symmetry have been discussed. By virtue of the Hirota bil...detailed