The Cross-Newell equations for hexagons and triangles are derived for general real gradient systems, and are found to be in fluxdivergence form. Specific examples of complex governing equations that give rise to hexagons and triangles and which have Lyapunov functionals are also considered, and explicit forms of the Cross-Newell equations are found in these cases. The general nongradient case i...

A great deal has been written regarding the internet in relation to the key categories of subjectivity, identity and body. Curiously, such studies have rarely, if any, engaged with the matter of disability. This eclipse of disability is all the more puzzling given that disability plays a rhetorically central function in important texts in internet studies. Interestingly, disability is often men...

The Newell–Littlewood numbers N μ,ν,λ are tensor product multiplicities of Weyl modules for classical Lie groups, in the stable limit. For which triples partitions (μ,ν,λ) does >0 hold? Littlewood–Richardson coefficient case is solved by Horn inequalities (in work A. Klyachko and Knutson-T. Tao). We extend these celebrated linear to a much larger family, suggesting general solution.

88 © 2014 Guilford Publications, Inc. We thank Adam Harris, Magda Osman, Danny Oppenheimer, and Piotr Winkielman for many helpful discussions. Preparation of this paper was supported in part by an Australian Research Council Future Fellowship (FT110100151) awarded to Ben Newell. Address correspondence to David R. Shanks, Division of Psychology and Language Sciences, University College London, 2...

Simplified theory of kinematic waves was proposed by Newell and uses cumulative arrival and departure counts to describe kinematic waves of freeway traffic. The original paper deals only with traffic on freeway mainline. It is of great interest, at least practically, to investigate whether the simplified theory can be used to simulate freeway traffic merging and diverging behavior. In his paper...