The LL anczos method for solving systems of linear equations is based on formal orthogonal polynomi-als. Its implementation is realized via some recurrence relationships between polynomials of a family of orthogonal polynomials or between those of two adjacent families of orthogonal polynomials. A division by zero can occur in such recurrence relations, thus causing a breakdown in the algorithm...

A descriptive analysis, to investigate the potential risk factors that might have contributed to the increased incidence of bovine tuberculosis (BTB) herd-breakdowns in the reference area of Co. Donegal during the fifth year of the four-area project (FAP), was performed. Seventy two different herds were restricted for BTB during the FAP; 10 of these herds were restricted twice, resulting in a t...

The ongoing evolution of modern technology from reactive tool to powerful and independent agent has created problems that are related to breakdowns in humanautomation coordination. These breakdowns can be explained, in part, by the fact that machines can initiate actions on their own and without explicit operator consent but do not possess the communication skills that are required to know when...

Bearings cause the most breakdowns in induction motors, which can result significant economic losses. If faults bearings are not detected time, they whole system to fail. System failures lead unexpected breakdowns, threats worker safety, and huge In this investigation, a new approach is proposed for fault diagnosis of under variable low-speed conditions using smooth sliding digital twin analysi...

This paper analyzes the portfolio decision of an investor facing the threat of illiquidity. In a continuous-time setting, the efficiency loss due to illiquidity is addressed and quantified. For a logarithmic investor, we solve the portfolio problem explicitly. We show that the efficiency loss for a logarithmic investor with 30 years until the investment horizon is a significant 22.7% of current...

In this paper, we apply and compare two generalized estimating equation approaches to the analysis of car breakdowns data in Mauritius. Number of breakdowns experienced by a machinery is a highly under-dispersed count random variable and its value can be attributed to the factors related to the mechanical input and output of that machinery. Analyzing such under-dispersed count observation as a ...

In the injection moulding process, a set-up containing positioning moulds, cleaning raw material hopper and machine settings is required. The uncertain owing to random factors, such as crew’s skill levels unexpected breakdowns. general version of this problem known single-machine scheduling with stochastic sequence-dependent times. specialized form problem, objective function defined so minimiz...

Fermilab has developed and delivered to DESY Hamburg two RF guns for the operation of the phase I of the TESLA Test Facility (TTF) accelerator. The first RF gun (designated G3 in the following) has been operated on TTF from October 1998 to March 2002. G3 presented a reliable behaviour with short RF pulses (< 300 μs ). For longer RF pulses, G3 suffered from breakdowns occurring in the coupling s...