In this article, we determine and analyse possible solutions to the problem of partitioning a circular cylinder into three regions of equal volume using the least surface area. The solutions are related to the minimal energy arrangement of films in dry aqueous foam confined in a cylinder. We enumerate the possible solutions and use the numerical simulation software Surface Evolver to calculate the area in each case. We determine the least area configuration for all values of the aspect ratio of the cylinder. We find only four possible optimal solutions, each appropriate over different intervals of the aspect ratio, and give closed form expressions for each one.

The first part of this article is an informal introduction to the representation theory of the symmetric group, which is intended for the working mathematician who knows no representation theory. In the second part we explain, more generally, how representation theory can be used to study symplectic quotient singularities. Namely, one can use representation theory to decide when these singular spaces admit crepant resolutions.

Cynhaliwyd Cynhadledd Wyddonol 2019 yng Nghanolfan Medrus, Prifysgol Aberystwyth, ar 6 Mehefin 2019. Roedd y gynhadledd yn gyfle i gyflwyno'r ymchwil gwyddonol ddiweddaraf trwy gyfrwng y Gymraeg. Yma ceir casgliad o gyflwyniadau a fideos o'r gynhadledd.

The relaxation spectrum of a viscoelastic material holds the key to describing its relaxation mechanisms at a molecular level. It also plays a fundamental role in accessing the molecular weight distribution, and in modelling the dynamics of complex uids. The relaxation spectrum cannot be measured directly, but it may be locally determined from experimental measurements of viscoelastic response at a macroscopic level. In particular, the relaxation spectrum is a continuous distribution of relaxation times which may be recovered, at least locally, from measurements of the complex modulus of the material. Although mathematical expressions for the continuous spectrum have been known for over a century, these were inaccessible to numerical implementation for decades, since they involve inverse operators which are not continuous, resulting in severe instability. Progress was made when regularization methods for approximating discrete line spectra were introduced some two decades ago. It was not until 2012, however, that Davies and Goulding proposed a method of wavelet regularization for recovering continuous spectra in a mathematically rigorous framework. This work was further rened in 2016 by introducing a mathematical form of high-order derivative spectroscopy involving sequences of derivatives of dynamic moduli, termed Maclaurin sequences. In this article, a rigorous justication for the use of Maclaurin sequences is presented. Furthermore, a new sequence is presented, which is termed a wavelet correction sequence, achieving the same accuracy as Maclaurin sequences, but with a reduced order of differentiation.

This resource is the result of a small grant awarded by the Coleg Cymraeg Cenedlaethol to Cardiff University. The project aimed to increase interest in the Mathematics and Philosophy degree course. As part of the project, a series of workshops were held in schools. This resource contains a series of practical questions arising from the first two workshops, Elementary Concepts in Philosophy and Mathematics and Understanding Numbers and Their Part. The questions are aimed at those studying A level maths.

This resource contains six packages of resources relating to the basic core principles of Mathematics and Physics. They include problems and solutions, with the aim of increasing the Welsh terminology in the subjects and raising students' confidence in dealing with the subjects in Welsh. There is a set of examples and theory and practical exercises for each of the six topics covered.

This resource contains a series of maths fact and formula sheets, translated from the originals by the Mathcentre.

A resource pack including examples of how to use statistical techniques in an undergraduate thesis. It contains 12 self-training chapters for second-year students, including: the use of appropriate resources and data, instructions on how to use a Geographical Information System (GIS). The package includes a handbook and data files.

This is a translation by Emeritus Professor Alun O. Morris from his book Linear Algebra - An Introduction, which first appeared in 1978 and was published by Van Nostrand Reinhold. A second edition appeared in 1982 and over the years there have been numerous reprints. The book was also translated into Greek and Turkish. Although the book has been out of print in English for some years now, it is clear that it is still being used at a number of universities and so it was decided to translate it into Welsh. The translation was originally located in Aberystwyth University's online research repository.  https://cadair.aber.ac.uk/dspace/?locale-attribute=cy