Partition-Matrix Theory and Generalized-Inverses are interesting topics explored in linear algebra and matrix computation. Partition-Matrix Theory is associated with the problem of properly partitioning a matrix into block matrices (i.e. an array of matrices), and is a matrix computation tool widely employed in several scientific-technological application areas. For instance, blockwise Toeplitz...

A two-dimensional (2-D) state-space self-tuning control (STC) scheme for multi-input multi-output (MIMO) linear discrete-time stochastic systems with actuator faults has been developed in this paper. To develop the 2-D state-space STC design, the 2-D linear discrete-time stochastic system is transformed to, and treated as, a two-dimensional Roesser’s (2D-RM) model. A 2-D state-space STC methodo...

Wind speed forecasting can accurately improve prediction efficiency of wind power in wind farm, decrease failure probability of wind turbine, and extend life cycle. An innovative algorithm is proposed to optimize both the parameters of least squares support vector machine (LSSVM) and the procedure of finding sparse support vector. Firstly, the defects of support vector are analyzed. Then inequa...

Gold mineralisation is the result of physico-chemical and thermal processes of the earth’s interior. We may view a geological process of gold mineralization as a stochastic process Z(x): xD, where D may be considered as a mineral deposit. In the case of gold mineralization, samples drawn at regular intervals may be considered as following a discrete stochastic process. The point of interest is...

The harmonic impact caused by wind turbines should be carefully investigated before wind turbines are interconnected. However, the harmonic currents of wind turbines are not easily predicted due to the variations of wind speed. If the harmonic current outputs can be predicted accurately, the harmonic impact of wind turbines and wind farms for power grids can be analyzed efficiently. Therefore, ...

The main purpose of this study was to examine large-scale oscillatory activity and frequency-related neuronal synchronization during the comprehension of English spoken sentences of different complexity. Therefore, EEG coherence during the processing of subject-subject (SS)- and more complex subject-object (SO)-relatives was computed using an adaptive fitting approach of bivariate auto-regressi...

Keyhole arc welding (KAW), including the keyhole double-sided arc welding process being developed at the University of Kentucky and keyhole plasma arc welding, can achieve much deeper narrower penetration than all other arc welding processes. If it could be controlled such that the heat input and weld pool are minimized while at the same time the desired full penetration is guaranteed, it could...

Accurate predictions of sea level with different forecast horizons are important for coastal and ocean engineering applications, as well as in land drainage and reclamation studies. The methodology of tidal harmonic analysis, which is generally used for obtaining a mathematical description of the tides, is data demanding requiring processing of tidal observation collected over several years. In...

The purpose of this study is to statistically evaluate the impact urban forestry on heat Island in Umuahia city, located Eastern Nigeria using Land Surface Temperature (LST) time series. LST datasets were extracted from Moderate Resolution Imaging Spectroradiometer (MODIS, MYD11A2 V6) satellite Python and JavaScript Google Earth Engine (GEE) platform. Two microclimate environments considered na...