Regularity of Tor for weakly stable ideals

It is proved that if $I$ and $J$ are weakly stable ideals in a polynomial ring $R=k[x_1,\ldots,x_n]$, with $k$ a field, then the regularity of $\text{Tor}^R_i(R/I,R/J)$ has the expected upper bound. We also give a bound for the regularity of $\text{Ext}_R^i(R/I,R)$ for $I$ a weakly stable ideal

Asymptotic solutions displaying the effects of gravity and viscosity on certain flows with free boundaries

Imperial Users onl

Cross-national validation of the resources depletion-recovery model: An empirical study of Spanish and British theme park employees

Surface acting (SA) refers to the strategy whereby front-line employees hide their own emotions and fake those required of them within their role within customer service transactions. Although researchers have associated SA with burnout, evidence now suggests that this could be an indirect relationship. Building on the Conservation of Resources theory, it was hypothesised that the combined effect of emotional effort and lack of rewarding interactions with customers triggered by SA would explain the strong association between SA and burnout (Studies 1 and 2). Furthermore, building on psychological recovery literature, it was hypothesised that the effort invested in SA would be a weaker predictor of front-line employees’ burnout in cases when they reported higher levels of recovery ability as opposed to lower levels (Study 2). A cross-national and cross-sectional design was used, and participants were theme park employees from UK (Study 1, NUK =204) and Spain (Study 2, NSpain=211). The explanatory role of emotional effort and rewarding interactions was supported, and the buffering effect of recovery ability was confirmed. Strategies aimed at minimising burnout risk for employees who deal with customers on a regular basis in these countries are discussed

Cross-cultural comparison of Spanish and British “service-with-a-smile” outcomes

PurposeEmployees working in the leisure service industry are required to show positive emotions when dealing with customers. However, empirical evidence confirms that faking emotions can lead to burnout. In contrast, employees that try to experience the emotions required by the role (i.e. deep acting (DA)) can lead to healthier outcomes. However, little is known about the process that underpins the link between DA and positive outcomes. Building on Côte’s social interaction model of emotion regulation and evidence linking customer satisfaction and DA, it was hypothesized that DA would be associated with employees’ self-actualization through customer interactions. This, in turn, was expected to explain the influence that DA has on relevant job attitudes (i.e. commitment, efficacy, turnover intentions). The model was tested in two countries with different emotional culture: Spain (i.e. impulsive) and the UK (i.e. institutional). Although UK was expected to report higher levels of effortful DA, the hypothesized process was expected to be the same. The paper aims to discuss these issues.Design/methodology/approachA cross-national design with theme park employees from Spain (n = 208) and UK (n = 204) was used. Hypotheses were tested with multigroup confirmatory factor analysis. FindingsThe relationship between job commitment and DA was mediated by self-actualization, and commitment partially explained the association between DA and professional efficacy in both countries. The impulsive-oriented country showed lower levels of DA and more positive job attitudes.Originality/valueIt is concluded that training employees to re-interpret costume

Calculating Staircase Slope from a Single Image

Realistic modeling of a 3D environment has grown in popularity due to the increasing realm of practical applications. Whether for practical navigation purposes, entertainment value, or architectural standardization, the ability to determine the dimensions of a room is becoming more and more important. One of the trickier, but critical, features within any multistory environment is the staircase. Staircases are difficult to model because of their uneven surface and various depth aspects. Coupling this need is a variety of ways to reach this goal. Unfortunately, many such methods rely upon specialized sensory equipment, multiple calibrated cameras, or other such impractical setups. Here, we propose a simpler approach. This paper outlines a method for extracting the slope dimensions of a staircase using a single monocular image. By relying on only a single image, we negate the need for extraneous accessories and glean as much information from common pictures. We do not hope to achieve the high level of accuracy seen from laser scanning methods but seek to produce a viable result that can both be helpful for current applications and serve as a building block that contributes to later development. When constructing our pipeline, we take into account several options. Each step can be achieved with different techniques which we evaluate and compare on either a qualitative or quantitative level. This leads to our final result which can accurately determine the slope of a staircase with an error rate of 31.1%. With a small amount of previous knowledge or preprocessing, this drops down to an average of 18.7% Overall, we deem this an acceptable and optimal result given the limited information and processing resources which the program was allowed to utilize

Development and cross-national validation of the Emotional Effort Scale (EEF)

Background: Researchers define Emotional Labour (EL) as the effort associated with meeting the emotional requirements of the job, yet nobody has ever directly tested this effort. Building on classic stress and ego depletion theory, this study develops the Emotional Effort Scale (EEF). Methods: In Study 1, exploratory (N = 197) and confirmatory factor analysis (N = 182) were conducted with a British sample. In Study 2, the instrument was adapted to Spanish and measurement invariance was tested (N = 304). In Study 3, (N = 185), we tested convergent and divergent validity with the EL strategies (i.e., surface acting and deep acting) and the relationship between EEF and emotional exhaustion. Results: The final scale is a two-dimensional measure (explicit and implicit emotional effort) with good reliability levels in all samples (N = 818). Additionally, it shows adequate convergent, divergent and nomological validity. Conclusions: The Emotional Effort construct adds unique value to the literature. Thus, explicit effort seems to be the mechanism that explains the association between EL and exhaustion. Additionally, this study adapts and translates the measure to two of the most used languages in the world, enabling the emergence of cross-national studies in the field of emotions at work

Political skill and role overload as antecedents of innovative work behavior in the public sector

We draw upon the theory of Conservation of Resources (COR) in positing political skill and role overload as influencing perceptions of either resource loss or conservation not previously studied in innovative work behavior. Based on a survey of 249 junior doctors in the United Kingdom, we found that role overload not only had direct positive effects on innovative work behavior but also negatively affects innovative work behavior, mediated through its effects on perceived organizational support. Political skill was positively associated with innovative work behavior, mediated through role-breadth self-efficacy. Our findings support a growing body of literature suggesting that engaging in innovative work behavior is a problem-focused coping strategy to deal with job demands and stressors. Current theorizing that job demands can have positive effects on innovative work behavior needs to be reconsidered given alternative negative effects suggested by COR

Small Museums Change: Volunteers for Social Engagement

What is a ‘small museum’? In this book, the term ‘small’ refers to a museum with a maximum of two ‘normally’ paid full-time functions and further completely staffed by volunteers. People are placed in the centre of the definition, as they should be