A Newton algorithm for invariant subspace computation with large basins of attraction

We study the global behaviour of a Newton algorithm on the Grassmann manifold for invariant subspace computation. It is shown that the basins of attraction of the invariant subspaces may collapse in case of small eigenvalue gaps. A Levenberg-Marquardt-like modification of the algorithm with low numerical cost is proposed. A simple strategy for choosing the parameter is shown to dramatically enlarge the basins of attraction of the invariant subspaces while preserving the fast local convergence.

Stabilising terminal cost and terminal controller for ℓasso- MPC: Enhanced optimality and region of attraction

In recent literature, ℓ1-regularised MPC, or ℓasso-MPC, has been recommended for control tasks involving complex requirements on the control signals, for instance, the simultaneous solution of regulation and sharp control allocation for redundantly-actuated systems. This is due to the implicit thresholding ability of LASSO regression. In this paper, a stabilising terminal cost featuring a mixed ℓ1/ℓ2 2 penalty is presented. Then, a candidate terminal controller is computed, with the aim of enlarging the region of attraction. © 2013 EUCA.

Assembly of 12-tungstosilicic acid and 4-aminobenzo-15-crown-5 ether based on the electrostatic attraction through bridging of oxonium ions on different substrates

Based on the electrostatic attraction Keggin-type polyoxometalate H4SiW12O40 (SiW12) and small molecule 4-aminobenzo-15-crown-5 ether (4-AB15C5) were alternately deposited on poly (allylamine hydrochloride) (PAH)-derived indium tin oxide (ITO) substrate through a layer-by-layer (LBL) self-assembly, forming a supramolecular multilayer film (film-A). SiW12 was also deposited on a glassy carbon electrode (GCE) derived by 4-AB15C5 via covalent bonding in 0.1 M NaCl aqueous solution and formed a composite monolayer film (film-B). UV-vis absorption spectroscopy, X-ray photoelectron spectroscopy (XPS) and Fourier-transform infrared (FTIR) spectroscopy measurements demonstrated that the interactions between SiW12 and 4-AB15C5 in both two film electrodes were the same and caused by the bridging action of oxonium ions. But, the nanostructure in the two film electrodes was different. 4-AB15C5 in film-A was oriented horizontally to ITO substrate, however, that in film-B was oriented vertically to GCE. Namely film-A corresponded to a layer structure, and film-B corresponded to an intercalation structure.

An assessment of international best practice in visitor attraction management: does Scotland really lag behind?

Garrod, Brian, Leask, Anna and Fyall, Alan (2007) An assessment of ?international best practice? in visitor attraction management: does Scotland really lag behind? International Journal of Tourism Research, 9 (1), 21-42. RAE2008

Same-sex gaze attraction influences mate-choice copying in humans.

Mate-choice copying occurs when animals rely on the mating choices of others to inform their own mating decisions. The proximate mechanisms underlying mate-choice copying remain unknown. To address this question, we tracked the gaze of men and women as they viewed a series of photographs in which a potential mate was pictured beside an opposite-sex partner; the participants then indicated their willingness to engage in a long-term relationship with each potential mate. We found that both men and women expressed more interest in engaging in a relationship with a potential mate if that mate was paired with an attractive partner. Men and women's attention to partners varied with partner attractiveness and this gaze attraction influenced their subsequent mate choices. These results highlight the prevalence of non-independent mate choice in humans and implicate social attention and reward circuitry in these decisions.

Mechanosensitive neurons on the internal reproductive tract contribute to egg-laying-induced acetic acid attraction in Drosophila.

Selecting a suitable site to deposit their eggs is an important reproductive need of Drosophila females. Although their choosiness toward egg-laying sites is well documented, the specific neural mechanism that activates females' search for attractive egg-laying sites is not known. Here, we show that distention and contraction of females' internal reproductive tract triggered by egg delivery through the tract plays a critical role in activating such search. We found that females start to exhibit acetic acid (AA) attraction prior to depositing each egg but no attraction when they are not laying eggs. Artificially distending the reproductive tract triggers AA attraction in non-egg-laying females, whereas silencing the mechanosensitive neurons we identified that can sense the contractile status of the tract eliminates such attraction. Our work uncovers the circuit basis of an important reproductive need of Drosophila females and provides a simple model for dissecting the neural mechanism that underlies a reproductive need-induced behavioral modification.

Same sex attraction, homophobic bullying and mental health of young people in Northern Ireland

This article reports on the relationship between same-sex attraction, experience of bullying in school and mental health measured using the 12-item version of the General Health Questionnaire (GHQ12). A random sample of 16 year olds, drawn from the Child Benefit Register, was invited to take part in the 2005 Young Life and Times survey, which is a postal survey carried out in Northern Ireland every year. Eight hundred and nineteen 16 year olds responded, which represented a return rate of 40%. The results of the survey showed that respondents who said they had been attracted to a person of the same sex at least once were significantly more likely to report experiences of school bullying. Same-sex-attracted 16 year olds were significantly less likely than those attracted to persons of the opposite sex only to say that their school provided real help to those who are being bullied. The 2005 Young Life and Times data also indicated that same-sex-attracted respondents were more than twice as likely as respondents who were only attracted to people of the opposite sex to have higher levels of psychiatric disorder. (Contains 5 tables.)

Tails of animal attraction: Incorporating the feline into the family

Increased urbanization and female employment have led to the cat overtaking the dog as the companion animal of preference. However, thisarticle looks beyond lifestyle changes as reasons for the popularity of the cat. The article explores the emotional consumer-socialization processinvolving the incorporation of the cat into the family. Subjective personal introspection (SPI) and supporting vignettes of female humans in theirfamilies (all of which were high-involvement owners) explore the hows and whys of feline incorporation. The study identifies several categories ofincorporation. The findings suggest that this complex process involves many factors — namely, consumer socialization, intergenerationalinfluence, brand loyalty, commitment, near-instant loyalty, immediacy, distress, anthropomorphism, and nostalgia. These factors underpin theintimacy and care the human–feline relationship expresses. The ability for humans and cats to bond in a way that fosters emotional intimacy canbe considered one of the purest forms of relationships.© 2007 Published by Elsevier Inc.

An Extension of Estimation of Domain of Attraction for Fractional Order Linear System Subject to Saturation Control

This paper employs the Lyapunov direct method for the stability analysis of fractional order linear systems subject to input saturation. A new stability condition based on saturation function is adopted for estimating the domain of attraction via ellipsoid approach. To further improve this estimation, the auxiliary feedback is also supported by the concept of stability region. The advantages of the proposed method are twofold: (1) it is straightforward to handle the problem both in analysis and design because of using Lyapunov method, (2) the estimation leads to less conservative results. A numerical example illustrates the feasibility of the proposed method.

The determinants of Foreign Direct Investments attraction in Portugal and Spain: A comparative analysis

Double Degree. A Work Project presented as part of the requirements for the Award of a Master Degree in Management from the NOVA – School of Business and Economics and a Master Degree in Business Engineering from Louvain School of Management