Faster pairing computations on curves with high-degree twists

Research on efficient pairing implementation has focussed on reducing the loop length and on using high-degree twists. Existence of twists of degree larger than 2 is a very restrictive criterion but luckily constructions for pairing-friendly elliptic curves with such twists exist. In fact, Freeman, Scott and Teske showed in their overview paper that often the best known methods of constructing pairing-friendly elliptic curves over fields of large prime characteristic produce curves that admit twists of degree 3, 4 or 6. A few papers have presented explicit formulas for the doubling and the addition step in Miller’s algorithm, but the optimizations were all done for the Tate pairing with degree-2 twists, so the main usage of the high- degree twists remained incompatible with more efficient formulas. In this paper we present efficient formulas for curves with twists of degree 2, 3, 4 or 6. These formulas are significantly faster than their predecessors. We show how these faster formulas can be applied to Tate and ate pairing variants, thereby speeding up all practical suggestions for efficient pairing implementations over fields of large characteristic.

Tracking employees’ twists and turns : a mixed methods approach to assessing change in the psychological contract

The psychological contract has emerged over the past 60 years as a key analytical device for both academics and practitioners to conceptualise and explain the employment relationship. However, despite the recognised import of this field, some authors suggest it has fallen into a ‘methodological rut’ and is neglecting to empirically assess basic theoretical tenets of the concept – such as the temporal and individualised, subjective nature of the construct. This paper describes the research design of a longitudinal, mixed methods study to explore development and change in the psychological contract and outline how the use of individual growth modelling can be a powerful tool in analysing the type of quantitative data collected. Finally, by briefly outlining the benefits of this approach, the paper seeks to offer an alternative methodology to explore the dynamic and intra-individual processes within the psychological contract domain.

Tracking employees' twists and turns : describing a mixed methods approach to assessing change in the psychological contract

The psychological contract is a key analytical device utilised by both academics and practitioners to conceptualise and explore the dynamics of the employment relationship. However, despite the recognised import of the construct, some authors suggest that its empirical investigation has fallen into a 'methodological rut' [Conway & Briner, 2005, p. 89] and is neglecting to assess key tenets of the concept, such as its temporal and dynamic nature. This paper describes the research design of a longitudinal, mixed methods study which draws upon the strengths of both qualitative and quantitative modes of inquiry in order to explore the development of, and changes in, the psychological contract. Underpinned by a critical realist philosophy, the paper seeks to offer a research design suitable for exploring the process of change not only within the psychological contract domain, but also for similar constructs in the human resource management and broader organisational behaviour fields.

Eastern twists on Western concepts: Equality jurisprudence and sexual harassment in Japan

A rich source of Japanese jurisprudence on sexual equality underlies Japan's emerging law against sexual harassment. With no law specifically outlawing sexual harassment, academics and the courts have invoked the principle of sexual equality to support their conclusion that Japanese law carries an implicit prohibition against acts of sexual harassment. In developing a legal case against sexual harassment, Japanese courts and academic commentators have introduced novel constructions of equality. The key innovations include relational equality, inherent equality and quantifiable equality. In presenting some of these Japanese contributions to equality jurisprudence, the hope is that feminist discourse on equality can take place in a broader context-a context that does not ignore the Eastern cultural experience.

Simultaneous nonvanishing of Dirichlet L-functions and twists of Hecke-Maass L-functions

We prove that given a Hecke-Maass form f for SL(2, Z) and a sufficiently large prime q, there exists a primitive Dirichlet character chi of conductor q such that the L-values L(1/2, f circle times chi) and L(1/2, chi) do not vanish.

Consulting pupils in Assessment for Learning classrooms: the twists and turns of working with students as co-researchers

This is an invited paper to a special issue on pupil voice focusing on methodological issues arising from the ESRC/TLRP project on consulting pupils about assessment practices in their classrooms. The issue of consulting pupils about assessment has rarely been researched before but what this article illustrates are some of the difficulties, tensions and positive outcomes of engaging with students as researchers within a nationally funded (and therefore externally driven), university-based project. This study adds considerably to the body of knowledge in this area by engaging students in the process as researchers in different capacities within the project. Issues discussed include the use of student advisory groups, ethical negotiation, students undertaking videotaped classroom observations and their subsequent role in co-interpreting video excerpts and visual images. The paper has attracted considerable interest already through the ESRC pupil seminar series forum and also from a prior paper presentation to the European Educational Research Association in September 2006 in Switzerland to the Childrens' Rights SIG becasue of researchers' current interests in embedding democratic principles and practices within research with children and young people.

Twists and turns: a tale of two shikimate-pathway enzymes

We are studying two enzymes from the shikimate pathway, dehydroquinate synthase (DHQS) and 5-enolpyruvylshikimate-3-phosphate synthase (EPSPS). Both enzymes have been the subject of numerous studies to elucidate their reaction mechanisms. Crystal structures of DHQS and EPSPS in the presence and absence of substrates, cofactors and/or inhibitors are now available. These structures reveal movements of domains, rearrangements of loops and changes in side-chain positions necessary for the formation of a catalytically competent active site. The potential for using complementary small-angle X-ray scattering (SAXS) studies to confirm the presence of these structural differences in solution has also been explored. Comparative analysis of crystal structures, in the presence and absence of ligands, has revealed structural features critical for substrate-binding and catalysis. We have also analysed these structures by generating GRID energy maps to detect favourable binding sites. The combination of X-ray crystallography, SAXS and computational techniques provides an enhanced analysis of structural features important for the function of these complex enzymes.

The old problems of glass and the glass transition, and the many new twists.

In this paper I review the ways in which the glassy state is obtained both in nature and in materials science and highlight a "new twist"--the recent recognition of polymorphism within the glassy state. The formation of glass by continuous cooling (viscous slowdown) is then examined, the strong/fragile liquids classification is reviewed, and a new twist-the possibility that the slowdown is a result of an avoided critical point-is noted. The three canonical characteristics of relaxing liquids are correlated through the fragility. As a further new twist, the conversion of strong liquids to fragile liquids by pressure-induced coordination number increases is demonstrated. It is then shown that, for comparable systems, it is possible to have the same conversion accomplished via a first-order transition within the liquid state during quenching. This occurs in the systems in which "polyamorphism" (polymorphism in the glassy state) is observed, and the whole phenomenology is accounted for by Poole's bond-modified van der Waals model. The sudden loss of some liquid degrees of freedom through such weak first-order transitions is then related to the polyamorphic transition between native and denatured hydrated proteins, since the latter are also glass-forming systems--water-plasticized, hydrogen bond-cross-linked chain polymers (and single molecule glass formers). The circle is closed with a final new twist by noting that a short time scale phenomenon much studied by protein physicists-namely, the onset of a sharp change in d/dT ( is the Debye-Waller factor)--is general for glass-forming liquids, including computer-simulated strong and fragile ionic liquids, and is closely correlated with the experimental glass transition temperature. The latter thus originates in strong anharmonicity in certain components of the vibrational density of states, which permits the system to access the multiple minima of its configuration space. The connection between the anharmonicity in these modes, vibrational localization, the Kauzmann temperature, and the fragility of the liquid is proposed as the key problem in glass science.

The crisis in Iraq and the twists and turns of Turkish Middle East policy. OSW Commentary No. 142, 29.07.2014

The spectacular offensive by Islamic radicals in Iraq this June has led the country to the verge of collapse, and is another scene of the deep crisis in the Middle East, in which Turkey is entangled. The immediate consequence of this is a severe crisis of prestige after the kidnapping by terrorists of Turkish diplomats and Ankara’s inability to resolve the situation; in the long term consequences include escalation of the Kurdish problem, and a further increase in threats to the security of Turkey itself as well as the fundamental principles of its foreign policy. Both Ankara’s options and its political will to actively respond to the crisis are extremely limited. Yet again in recent years, the current crisis, the broader situation in the Middle East, and finally the position of Turkey in the region elude unambiguous assessments and forecasts – these are prevented by the scale and growth of the reappraisals and tensions in the region. The only undoubted fact is that Turkey is strategically and irreversibly entangled in the Middle East’s problems, which are an important factor affecting the transformation of the state which the ruling AKP is implementing; and in the near future, this state of affairs will only deepen.

Twists, knots, and rings in proteins: Structural definition of the cyclotide framework

In recent years an increasing number of miniproteins containing an amide-cyclized backbone have been discovered. The cyclotide family is the largest group of such proteins and is characterized by a circular protein backbone and six conserved cysteine residues linked by disulfide bonds in a tight core of the molecule. These form a cystine knot in which an embedded ring formed by two of the disulfide bonds and the connecting backbone segment is threaded by a third disulfide bond. In the current study we have undertaken high resolution structural analysis of two prototypic cyclotides, kalata B1 and cycloviolacin O1, to define the role of the conserved residues in the sequence. We provide the first comprehensive analysis of the topological features in this unique family of proteins, namely rings (a circular backbone), twists (a cis-peptide bond in the Mobius cyclotides) and knots (a knotted arrangement of the disulfide bonds).

Drinfeld twists and algebraic bethe ansatz of the supersymmetric model associated with U-q(gl(m vertical bar n))

We construct the Drinfeld twists (or factorizing F-matrices) of the supersymmetric model associated with quantum superalgebra U-q(gl(m vertical bar n)), and obtain the completely symmetric representations of the creation operators of the model in the F-basis provided by the F-matrix. As an application of our general results, we present the explicit expressions of the Bethe vectors in the F-basis for the U-q(gl(2 vertical bar 1))-model (the quantum t-J model).

Teenager loner in a chat room tangled up in guile and guilability : a review

ADAM Cass's I Love You, Bro is an engaging portrayal of just how far some young people can go in constructing fantasy worlds online. The play is, according to Cass, based on the case of two teenage boys in Britain in the early 2000s. Troubled teen Johnny lives at home with his mother and her new partner. Lurking in an online chat room one day, he strikes up a conversation with MarkyMark, a slightly older soccer-playing boy from the popular crowd in his own local town, who mistakes him for a girl. The plot unfolds from this one moment of mistaken identity. Johnny concocts an increasingly tenuous series of characters, plot twists and intrigues to try to maintain his relationship with MarkyMark and deal with the lie at the heart of his first love, eventually conspiring - as he tells us from the first moment - to cause his own murder.