In the paper, the authors establish two identities to express higher order derivatives and integer powers of the generating function of the Chebyshev polynomials of the second kind in terms of integer ...

Drazin inverses and their modern generalisations constitute a pivotal area of operator theory within Banach algebras. These inverse concepts extend the classic notion of the matrix inverse to settings ...

Sankhyā: The Indian Journal of Statistics, Series A (1961-2002), Vol. 32, No. 3 (Sep., 1970), pp. 299-310 (12 pages) In this paper, various types of generalised inverses are considered and the general ...

For a symmetric correlation matrix, the Inverse Correlation Matrix table contains the inverse of the correlation matrix, as shown in Figure 40.14. The diagonal elements of the inverse correlation ...

North Carolina’s Triangle metro—which encompasses Charlotte and Raleigh-Durham—has been one of the more dynamic areas of the country in recent years. North Carolina’s Triangle metro—which encompasses ...

Compared to FSDT-based inverse elements, iKS3 exhibits improved numerical stability and faster convergence, even under complex loading conditions. Validation studies conducted under in-plane, ...

Structural health monitoring (SHM) is vital for safeguarding infrastructure by identifying and addressing damage risks. Traditional methods, however, often struggle to deliver accurate real-time data ...