Bucking the trend: part-time Master’s students at the University of Northampton

Nick Petford, Vice Chancellor of the University of Northampton, and Nick Allen, Executive Officer at the University of Northampton, explain how their institution has bucked the decline in part-time study for postgraduates and push the benefits of working with local industry partners on bespoke programmes

Canonical formulas for k-potent commutative, integral, residuated lattices

Canonical formulas are a powerful tool for studying intuitionistic and modal logics. Actually, they provide a uniform and semantic way to axiomatise all extensions of intuitionistic logic and all modal logics above K4. Although the method originally hinged on the relational semantics of those logics, recently it has been completely recast in algebraic terms. In this new perspective canonical formulas are built from a finite subdirectly irreducible algebra by describing completely the behaviour of some operations and only partially the behaviour of some others. In this paper we export the machinery of canonical formulas to substructural logics by introducing canonical formulas for $k$-potent, commutative, integral, residuated lattices ($k$-$\mathsf{CIRL}$). We show that any subvariety of $k$-$\mathsf{CIRL}$ is axiomatised by canonical formulas. The paper ends with some applications and examples.Comment: Some typo corrected and additional comments adde

A condition number for the tensor rank decomposition

The tensor rank decomposition problem consists of recovering the unique set of parameters representing a robustly identifiable low-rank tensor when the coordinate representation of the tensor is presented as input. A condition number for this problem measuring the sensitivity of the parameters to an infinitesimal change to the tensor is introduced and analyzed. It is demonstrated that the absolute condition number coincides with the inverse of the least singular value of Terracini's matrix. Several basic properties of this condition number are investigated.Comment: 45 pages, 4 figure

Carbon-Tuning New York’s Electricity System: Uncovering New Opportunities for CO2 Emissions Reductions

Distributed energy resources (DER), including technologies and services such as behind-the-meter generation, demand response, energy management, and energy efficiency, are touted as effective ways to improve electric system efficiencies and reduce harmful air emissions. The New York State Public Service Commission’s landmark Reforming the Energy Vision (REV) proceeding aims to unleash competitive forces that will invest in DER across the state with the explicit goal of reducing customer bills and the environmental impact of electricity production. As initiatives like New York’s REV continue, understanding the emission impacts of DER deployment becomes vital to ensure these efforts achieve the greatest environmental benefit possible. In this report, we present an analysis of the emission characteristics of New York’s electricity system. Using a linear regression model, we estimate marginal emission rates for CO2 and other pollutants from large centralized power plants. Our results show that the marginal emission rate of the State’s electricity system—and thus the emission reduction potential of DER—is dependent on both the time and location of DER operation in New York

Poverty, money, and happiness

In this paper I plan to ask some potentially disorienting questions about the relationship between poverty, money, and happiness

A Genealogy of Emancipatory Values

Analytic moral philosophers have generally failed to engage in any substantial way with the cultural history of morality. This is a shame, because a genealogy of morals can help us accomplish two important tasks. First, a genealogy can form the basis of an epistemological project, one that seeks to establish the epistemic status of our beliefs or values. Second, a genealogy can provide us with functional understanding, since a history of our beliefs, values or institutions can reveal some inherent dynamic or pattern which may be problematically obscured from our view. In this paper, I try to make good on these claims by offering a sketchy genealogy of emancipatory values, or values which call for the liberation of persons from systems of dominance and oppression. The real history of these values, I argue, is both epistemologically vindicatory and functionally enlightening

Nilpotent Singer groups

Let $N$ be a nilpotent group normal in a group $G$. Suppose that $G$ acts transitively upon the points of a finite non-Desarguesian projective plane $\mathcal{P}$. We prove that, if $\mathcal{P}$ has square order, then $N$ must act semi-regularly on $\mathcal{P}$. In addition we prove that if a finite non-Desarguesian projective plane $\mathcal{P}$ admits more than one nilpotent group which is regular on the points of $\mathcal{P}$ then $\mathcal{P}$ has non-square order and the automorphism group of $\mathcal{P}$ has odd order

Personal Ideals as Metaphors

What is it to have and act on a personal ideal? Someone who aspires to be a philosopher might imaginatively think “I am a philosopher” by way of motivating herself to think hard about a philosophical question. But doing so seems to require her to act on an inaccurate self-description, given that she isn’t yet what she regards herself as being. J. David Velleman develops the thought that action-by-ideal involves a kind of fictional self-conception. My aim is to expand our thinking about personal ideals by developing another way of understanding them. On this view action-by-ideal involves a kind of metaphorical self-conception. I investigate some salient differences between these views with the aim of understanding the different perspectives they take on the rationality of action-by-ideal. Where the fiction view runs into problems of literary coherence, the metaphor view exploits the richness of poetic invention. But action-by-ideal is a complex phenomenon about which there may be no tidy story to be told. This paper is an attempt to clarify and understand more of this messy terrain