Chalk dust in the law of inhibition

A discussion of the time at which an inhibition takes effect by reference to their character and traditional method of execution

Before bell: the roots of error in the Scots law of contract

An examination of the development of the doctrine of error in Scots contract law focusing on the connections between Scottish and Continental European thinking on the subject

The Origins, Operation and Future of Farmers’ Markets in Scotland

There have been a number of supply chain adjustments in food and farming in Scotland in recent years, one of which has been the growth in the number of “farmers’ markets” (FMs). These are markets in which agricultural produce from a defined local area is sold by stallholders involved in the production process. The first markets in Scotland started in 1999, and the sector now has an estimated annual turnover of around £7m. While their origins can be traced to the crisis in farm incomes in the late 1990’s, they have come to be seen as a way of providing a range of market and non-market benefits to producers, consumers and wider society. The findings of a recent SAC project indicate that farmers’ markets are complex and display considerable variation, e.g. in terms of their: origins; size; turnover; location; product range; management; strengths and weaknesses; perceived threats. They face a range of challenges, including: retaining critical mass; maintaining their brand; managing costs; improving co-ordination. Despite these, it is argued that farmers’ markets can continue to put the “spring back in the step” of Scottish farming, while providing a range of benefits for town centres, communities and consumers.Marketing, Farm Management,

Mathematical electron model and the SI unit 2017 Special Adjustment

Following the 26th General Conference on Weights and Measures are fixed the numerical values of the 4 physical constants ($h, c, e, k_B$). This is premised on the independence of these constants. This article discusses a model of a mathematical electron from which can be defined the Planck units as geometrical objects (mass M=1, time T=2$\pi$ ...). In this model these objects are interrelated via this electron geometry such that once we have assigned values to 2 Planck units then we have fixed the values for all Planck units. As all constants can then be defined using geometrical forms (in terms of 2 fixed mathematical constants, 2 unit-specific scalars and a defined relationship between the units $kg, m, s, A$), the least precise CODATA 2014 constants ($G, h, e, m_e, k_B$...) can then be solved via the most precise ($c, \mu_0, \alpha, R_\infty$), with numerical precision limited by the precision of the fine structure constant $\alpha$. In terms of this model we now for example have 2 separate values for elementary charge, calculated from ($c, \alpha, R_\infty$) and the 2017 revision

The Cohen Macaulay property for noncommutative rings

Let R be a noetherian ring which is a finite module over its centre Z(R). This paper studies the consequences for R of the hypothesis that it is a maximal Cohen Macaulay Z(R)-module. Old results are reviewed and a number of new results are proved. The additional hypothesis of homological grade symmetry is proposed as the appropriate extra lever needed to extend the classical commutative homological hierarchy to this setting, and results are given offering evidence in support of this proposal.Comment: Preliminary version; comments welcom

New Applications of Radio Frequency Identification Stations for Monitoring Fish Passage through Headwater Road Crossings and Natural Reaches

Within the Ouachita National Forest, roads and streams intersect each other thousands of times. Many of these road crossings alter stream hydrology and potentially limit longitudinal fish movement. To investigate the potential impacts of these road crossings on fish passage, we monitored movements of 3 native fish species (n = 2,171) individually tagged with radio frequency identification (RFID) tags in 2012 and 2013. We installed solar-powered RFID stations in 2 streams with road crossings and 2 reference streams without road crossings. Each of the 4 monitoring stations included a pair of antennas bracketing a road crossing (or similarly-sized natural reach) to continuously detect upstream or downstream passage. To monitor natural reference streams, we avoided full-duplex RFID technology, which would have required rigid in-stream structures. Alternatively, we utilized new applications of RFID technology such as direct in-stream installation of half-duplex wire antennas and figure-eight crossover antenna designs. These techniques appear promising, but technical difficulties limited the consistency of fish passage detection and consequently limited the strength of ecological conclusions. Even so, we report evidence that fish passed at significantly higher rates across reference reaches than reaches with road crossings. Furthermore, Creek Chub (Semotilus atromaculatus) passed reference reaches at significantly higher rates than Highland Stonerollers (Campostoma spadiceum), which passed at higher rates than Longear Sunfish (Lepomis megalotis). Stream intermittency appeared to exacerbate reduced passage rates associated with the road crossings