A 0535+26: Back in business

In May/June 2005, after 10 years of inactivity, the Be/X-ray binary system A 0535+26 underwent a major X-ray outburst. In this paper data are presented from 10 years of optical, IR and X-ray monitoring showing the behaviour of the system during the quiescent epoch and the lead up to the new outburst. The results show the system going through a period when the Be star in the system had a minimal circumstellar disk and then a dramatic disk recovery leading, presumably, to the latest flare up of X-ray emission. The data are interpreted in terms of the state of the disk and its interaction with the neutron star companion.Comment: Accepted for publication in MNRA

Pitot pressure in hypersonic flow with condensation.

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76722/1/AIAA-6518-763.pd

Coagulation and fragmentation processes with evolving size and shape profiles : a semigroup approach

We investigate a class of bivariate coagulation-fragmentation equations. These equations describe the evolution of a system of particles that are characterised not only by a discrete size variable but also by a shape variable which can be either discrete or continuous. Existence and uniqueness of strong solutions to the associated abstract Cauchy problems are established by using the theory of substochastic semigroups of operators

Argument by Numbers: the Normative Impact of Statistical Legal Tech

The introduction of statistical “legal tech” raises questions about the future of law and legal practice. While technologies have always mediated the concept, practice, and texture of law, a qualitative and quantitative shift is taking place: statistical legal tech is being integrated into mainstream legal practice, and particularly that of litigators. These applications — particularly in search and document generation — mediate how practicing lawyers interact with the legal system. By shaping how law is “done”, the applications ultimately come to shape what law is. Where such applications impact on the creative elements of the litigator’s practice, for example via automation bias, they affect their professional and ethical duty to respond appropriately to the unique circumstances of their client’s case — a duty that is central to the Rule of Law. The statistical mediation of legal resources by machine learning applications must therefore be introduced with great care, if we are to avoid the subtle, inadvertent, but ultimately fundamental undermining of the Rule of Law. In this contribution we describe the normative effects of legal tech application design, how they are (in)compatible with law and the Rule of Law as normative orders, particularly with respect to legal texts which we frame as the proper source of “lossless law”, uncompressed by statistical framing. We conclude that reliance on the vigilance of individual lawyers is insufficient to guard against the potentially harmful effects of such systems, given their inscrutability, and suggest that the onus is on the providers of legal technologies to demonstrate the legitimacy of their systems according to the standards inherent in the legal system.The translation and publication of this article is based on the CC BY Attribution-NonCommercial 4.0 International license, under which this article was published in English at https://osf.io/preprints/socarxiv/ts259/. The article is accepted for publication in Communitas (2022)