This paper uses a topic from multivariate analysis, i.e., canonical correlation theory, in the development of a generalized correlation coefficient for simultaneous equation systems. Canonical ...

The coordinates of the turning point and the equation of the line of symmetry can be found by writing the quadratic expression in completed square form. Find the equation of the line of symmetry and ...

Abstract: The latest video coding standard, versatile video coding (VVC), was developed to achieve higher video compression efficiency and support more media applications than its predecessor, ...

Abstract: Inhomogeneous linear ordinary differential equations (ODEs) and systems of ODEs can be solved in a variety of ways. However, hardware circuits that can perform the efficient analog ...

Array formulas let you perform calculations across entire ranges of data in a single formula. Hence, you can handle lightning-fast lookups, filtering, and sorting with just one po ...

This course is available on the MSc in Econometrics and Mathematical Economics. This course is available with permission as an outside option to students on other programmes where regulations permit.

Factorising is the reverse process of expanding brackets. A factorised answer will always contain a set of brackets. Factorise \(6x + 9\). To factorise this expression, look for the HCF of \(6x\)and 9 ...

Sparse methods are primarily valuable for systems in which the number of non-zero entries is substantially less than the overall size of the matrix. Such situations are common in physical systems, ...

Physics-informed neural networks (PINNs), rooted in deep learning, have emerged as a promising approach for solving partial differential equations (PDEs). By embedding the physical information ...