Run off Conditions on Rimming Power Law Fluids

The rimming ?ow of a power-law ?uid in the inner surface of a horizontal rotating cylinder is investigated. Exploiting the fact that the liquid layer is thin, the simplest lubrication theory is applied. The generalized run-off condition for the steady-state ?ow of the power-law liquid is derived. In the bounds implied by this condition, ?lm thickness admits a continuous solution. In the supercritical case when the mass of non-Newtonian liquid exceeds a certain value or the speed of rotation is less than an indicated limit, a discontinuous solution is possible and a hydraulic jump may occur in the steady-state regime. The location and height of the hydraulic jump for the power-law liquid is determined.

Power-law behaviour, heterogeneity, and trend chasing

Long-range dependence in volatility is one of the most prominent examples in financial market research involving universal power laws. Its characterization has recently spurred attempts to provide some explanations of the underlying mechanism. This paper contributes to this recent line of research by analyzing a simple market fraction asset pricing model with two types of traders---fundamentalists who trade on the price deviation from estimated fundamental value and trend followers whose conditional mean and variance of the trend are updated through a geometric learning process. Our analysis shows that agent heterogeneity, risk-adjusted trend chasing through the geometric learning process, and the interplay of noisy fundamental and demand processes and the underlying deterministic dynamics can be the source of power-law distributed fluctuations. In particular, the noisy demand plays an important role in the generation of insignificant autocorrelations (ACs) on returns, while the significant decaying AC patterns of the absolute returns and squared returns are more influenced by the noisy fundamental process. A statistical analysis based on Monte Carlo simulations is conducted to characterize the decay rate. Realistic estimates of the power-law decay indices and the (FI)GARCH parameters are presented.

Bimanual aiming and overt attention: one law for two hands

Reaching to interact with an object requires a compromise between the speed of the limb movement and the required end-point accuracy. The time it takes one hand to move to a target in a simple aiming task can be predicted reliably from Fitts' law, which states that movement time is a function of a combined measure of amplitude and accuracy constraints (the index of difficulty, ID). It has been assumed previously that Fitts' law is violated in bimanual aiming movements to targets of unequal ID. We present data from two experiments to show that this assumption is incorrect: if the attention demands of a bimanual aiming task are constant then the movements are well described by a Fitts' law relationship. Movement time therefore depends not only on ID but on other task conditions, which is a basic feature of Fitts' law. In a third experiment we show that eye movements are an important determinant of the attention demands in a bimanual aiming task. The results from the third experiment extend the findings of the first two experiments and show that bimanual aiming often relies on the strategic co-ordination of separate actions into a seamless behaviour. A number of the task specific strategies employed by the adult human nervous system were elucidated in the third experiment. The general strategic pattern observed in the hand trajectories was reflected by the pattern of eye movements recorded during the experiment. The results from all three experiments demonstrate that eye movements must be considered as an important constraint in bimanual aiming tasks.

ARTICLE: On the Curious Disappearance of Human Servitude from General International Law

The following study considers the fragmentation of law which occurred in 1956 with regard to the law on servitude. As States were unwilling to go as far as the Universal Declaration on Human in establishing that "no one shall be held in [...] servitude", the negotiators of the 1956 Supplementary Conventions moved to expunge the very term 'servitude' from the text and to replace it with the phrase 'institutions and practices similar to slavery' which could then be abolished 'progressively and as soon as possible'. The negotiation history of the 1956 Convention clear demonstrate that the Universal Declaration on Human was the elephant in the room and that it ultimately lead to a fragmentation of the law as between general international law manifest in the 1956 Supplementary Convention on the one hand and international human rights law on the other. It is for this reason that, for instance the 2001 UN and 2005 Council of Europe trafficking conventions mention both 'practices similar to slavery' and 'servitude' as types of human exploitation to be suppressed in their definition of 'trafficking in persons'.

Verification of McCabe's Delta L Law for Growth of Lysozyme Crystals by Hanging Drop Method

Lysozyme is a naturally occurring enzyme in egg white and has high commercial importance due to its antimicrobial properties. The main objective of this work was to study the growth rate of lysozyme crystals isolated from egg for the first 72 hours and verify the results with McCabe’s constant crystal growth theory. Hanging drop crystallization method was used to form high purity lysozyme crystals from the embryonic stage. To this end, this work differs from an earlier work of Forsythe et al., who used seed crystals in the size range of 10 µm - 40 µm for face growth measurements at different pH values. The maximum crystal size recorded in the present work was 392.86 µm, which is within the typical size range of 50 µm - 500 µm for which constant crystal growth is expected to hold according to McCabe’s ?L law. Electron micrographs (SEM) revealed the structure and dimensions of the crystals while SDS-Page was used to measure the purity of the crystals. The SEM results showed that that lysozyme growth rate was linear and agreed with McCabe’s constant growth theory, producing a growth rate of 1.77 x 10-3 µm .s-1

Right to War in the Islamic Tradition:Jihad and its Compatibility with Modern International Law (will be submitted to the publisher in April 2014)

In the last century, Islam drew the world’s attention though such phenomena as the Islamic revolution in Iran, the fierce Muslim resistance against the Soviet invasion of Afghanistan, and the assassination of Egypt’s President Sadat by a radical Islamic group. But it was when Osama Bin Laden and his organization Al Qaeda were established to have been behind the 11 September attacks in the US, the age-old images of Islam, the fanatical and belligerent religion threatening what the Western world stands for, were revitalized. The impact of 9/11 attacks was so great that even balanced portrayals of Islam were eclipsed by stereotypical images of a fundamental, anti-Western and warmongering religion that bore the hallmarks of medieval prejudices and rhetoric. The popular image tailored for the Western audience reflected Islam as monolithic, intrinsically aggressive, and determined to engage in religious wars against the interests and values of the Western civilisation.
This book intends to help reduce, at least to a reasonable degree, the impact of sweeping, and at times tendentious, generalisations about Islamic laws of warfare. The main purpose of this book is to place the legal, cultural and historical practices of Islamic wars in their broader socio-political contexts, thereby establishing that there has been no undisputed understanding of what defensive or aggressive warfare entails in Islam, whether in doctrine or in practice.