Domain Coloring and the Argument Principle

Abstract

The domain-coloring algorithm allows us to visualize complex-valued functions on the plane in a single image—an alternative to before-and-after mapping diagrams. It helps us see when a function is analytic and aids in understanding contour integrals. The culmination of this article is a visual discovery and subsequent proof of the Argument Principle, which relates the count of poles and zeros of a meromorphic function inside a contour to the accumulated change in argument of the function around the contour. Throughout, I offer connections to standard learning goals of courses in complex variables.     

The influence of anxiety on visual attention in climbing

The object of the current study was to investigate anxiety-induced changes in movement and gaze behavior in novices on a climbing wall. Identical traverses were situated at high and low levels on a climbing wall to manipulate anxiety. In line with earlier studies, climbing times and movement times increased under anxiety. These changes were accompanied by similar changes in total and average fixation duration and the number of fixations, which were primarily aimed at the holds used for climbing. In combination with these findings, a decrease in search rate provided evidence for a decrease in processing efficiency as anxiety increased.     

The Influence of the Congruence Between Brand and Consumer Personality on the Loyalty to Print and Online Issues of Magazine Brands

An important development in the theory of brands has been the concept of a brand personality as part of the brand image. The construct of congruence relates the personality of brands to the self-concept of consumers. It is assumed that congruence between the recipient's perception of his or her own personality and his or her perception of the brand personality leads to a higher degree of loyalty. The congruence construct has been proven to be a loyalty-promoting factor in various studies for consumer good brands. Whether the influence of congruence also exists with regard to media brands has, however, not yet been examined. As a step to close the gap, this research explores the effects of congruence on consumer loyalty in the media, taking the leading German news magazine brands— Focus, Spiegel, and Stern—which are published in print and online, as a case. The study uses a structural equation model, which is estimated by the partial least squares method, based on a questionnaire answered by 736 respondents. The model was tested for all respondents and those with print and online preference separately. As a result, the influence of congruence on loyalty could also be detected in our media case. Differences of the impact within the models for print and online give rise to the assumption that a differentiated approach to brand management in these two fields has to be taken into consideration.     

Keep calm and carry on: moral panic,predatory publishers,peer review,and the emperor's new clothes

The moral panic over the impact of so-called predatory publishers continues unabated. It is important, however, to resist the urge to simply join in this crusade without pausing to examine the assumptions upon which such concerns are based. It is often assumed that established journals are almost sacrosanct, and that their quality, secured by peer review, is established. It is also routinely presumed that such journals are immune to the lure of easy money in return for publication. Rather than looking at the deficits that may be apparent in the practices and products of predatory publishers, this commentary invites you to explore the weaknesses that have been exposed in traditional academic journals but are seldom discussed in the context of predatory publishing. The inherent message for health and medical services staff, researchers, academics, and students is, as always, to critically evaluate all sources of information, whatever their provenance.     

Reporting Quality of Single-Case Research Published in Learning Disabilities Journals

Single-case research designs are useful for learning disability researchers interested in refining novel interventions (e.g., new mathematics intervention) before scaling, small n populations (e.g., students with comorbid learning and emotional and behavioral disabilities), and testing unique conditions (e.g., remote locales). Much attention has been devoted to developing research quality standards, which is essential for replication and implementation fidelity; however, little is known about the reporting quality of single-case design studies. To gain insight into the quality of learning disability single-case research design study reporting, we analyzed 72 articles published between 2010 and 2021 in six learning disability-focused journals using the Single-Case Reporting Guideline In BEhavioral interventions (SCRIBE) standards. Findings suggest that reporting quality has remained stagnant, and none of the studies reviewed met all of the reporting standards. Alignment with standards ranged from 33% to 77%. Implications for researchers and practitioners are discussed.     

Response to intervention as a vehicle for distinguishing between children with and without reading disabilities: Evidence for the role of kindergarten and first-grade interventions

Children at risk for early reading difficulties were identified on entry into kindergarten, and half of these children received small-group intervention two to three times a week during their kindergarten year. The other half received whatever remedial assistance was offered by their home schools. These children were again assessed at the beginning of first grade, and those who continued to have difficulties in reading received either one-to-one daily tutoring offered by project teachers from the beginning to the end of first grade or whatever remedial assistance was offered by their home schools over the same time period. All target children were periodically assessed through the end of third grade. Results suggest that either kindergarten intervention alone or kindergarten intervention combined with first-grade intervention are both useful vehicles for preventing early and long-term reading difficulties in most at-risk children.     

Intellectual self-mutilation

[The] business man is generous to a fault, but one thing he does demand of all teachers and lecturers and journalists: if we're going to pay them our good money, they‘ve got to help us by selling efficiency and whooping it up for rational prosperity? And when it comes to these blab-mouth, fault-finding, pessimistic, cynical University teachers, let me tell you that during this golden coming year it's just as much our duty to bring influence to have these cusses fired as it is to sell all the real estate and gather in all the good shekels we can. Sinclair Lewis. Babbitt.