Callous-unemotional (CU) traits, characterized by lack of empathy, guilt, and deficient affect, are linked to facial emotion recognition (FER) deficits in children. While anxiety is also associated with FER anomalies, these relationships are often examined in isolation despite co-occurrence. This study aims to concurrently investigate unique contributions of CU traits and anxiety on children’s FER patterns. We recruited 107 children aged 6 to 11 from community settings, assessing CU traits through caregiver reports and anxiety via caregiver and child reports. FER performance was evaluated using a computer-based task. Results indicate that CU traits negatively impact overall FER accuracy, particularly when controlling for parent-reported anxiety. CU traits were inversely related to total FER accuracy for children self-reporting high anxiety levels. These findings enhance our understanding of how CU traits and anxiety interact to influence FER deficits, suggesting that interventions targeting CU traits should consider anxiety symptoms as a critical factor in emotional processing challenges among children.

For convenience, throughout this Article, we shall use the standard notations for any triangle ABC, where:

1. 1) the lengths of the sides BC, CA, AB are denoted by a, b, c, respectively,

2. 2) the area of the triangle is denoted by S,

3. 3) the semiperimeter of the triangle is denoted by s,

4. 4) the circumradius and inradius of the triangle are denoted by R and r, respectively,

5. 5) the lengths of the medians corresponding to vertices A, B, C are denoted by ma, mb, mc, respectively,

6. 6) the lengths of the angle bisectors corresponding to vertices A, B, C are denoted by la, lb, lc, respectively,

7. 7) the lengths of the altitudes corresponding to vertices A, B, C are denoted by ha, hb, hc, respectively.

The Proetida likely represent the only surviving trilobite clade past the Devonian mass extinction event(s). Although members of order Proetida have long been studied, the global phylogenetic relationships across this pivotal time are still unresolved. I used a Bayesian phylogenetic approach to construct a subordinal level tree for members within the superfamily Proetoidea. Two models, a relaxed and strict clock model, were compared and used to assess past reconstructions of clades within the order. The trees from both models highlight key relationships among proetides across the Devonian and show paraphyly in groups that have been considered monophyletic in the past. Trees from both models also suggest that major groups, e.g., the genus Gerastos Goldfuss, 1843 and the family Phillispidae (which represents the most diverse post-Devonian proetide group under current taxonomic schemes) are polyphyletic. This in turn suggests, in a paleobiological context, a more complex pattern of survivorship over the Late Devonian than previously suggested as well as pervasive parallelisms toward certain ‘Gerastos’ or ‘phillipsid’ morphotypes.

Figure 1 shows an arbitrary triangle Z1Z2Z3, the base triangle, with similar isosceles triangles Z1Z2V1, Z2Z3V2 and Z3Z1V3 drawn outwards on the respective sides Z1Z2, Z2Z3 and Z3Z1, all with base angles (the angles at Z1, Z2 and Z3) equal to α. We call ΔV1V2V3 the outer α-triangle of ΔZ1Z2Z3. Note that, if ΔZ1Z2Z3 is positively oriented (that is, if the labels go around the triangle in anticlockwise order), then so is ΔV1V2V3, but the triangles Z1Z2V1, Z2Z3V2 and Z3Z1V3 are negatively oriented (that is, the labels go around the triangle in clockwise order).

In this Article the author hopes to present an unusual view of the Riemann zeta landscape when Re (s) > 0, to show how the prime numbers are discoverable by the altered configuration, and to show a correlation amongst the primes, the regular polygons and a set of complex numbers with real part${1 \over 2}$.

Well-known shuffles, such as the riffle shuffle and the standard over- hand shuffle [1], are meant to randomise the order of the cards, making it difficult to predict the appearance of specific cards in games like poker or blackjack. However, shuffles have a different purpose in self-working card tricks: they reorder the cards so that the position of the target card (the card revealed at the end of the trick) is known to the magician, but not to the observer. This Article generalises three self-working card tricks that are based on the milk and Monge shuffles and have appeared on social media.

Workspace analysis is a crucial step in designing any robotic system and ensuring its safe operation. This article analyzes the workspace of a six degree-of-freedom (6-DOF) hybrid robot, which includes two separate modules with parallel architectures placed above each other. The upper module is a 4-DOF Delta-type parallel mechanism, and the lower module is a 2-DOF rotary mechanism with a circular rail. With this design, the hybrid robot represents a relative manipulation system, and workspace analysis is performed in the relative motion of the modules. This approach differs from other similar studies that combine the workspaces determined for each module independently, and we propose a method and derive results more suitable for practical use. To solve the workspace analysis problem, the paper develops a discretization-based approach, which considers all mechanical constraints. These constraints include joint constraints of each module and link interference between the modules. To analyze this interference, we apply the Gilbert–Johnson–Keerthi algorithm and represent the links as convex polytopes. Multiple numerical examples illustrate the developed techniques and show the translation and orientation workspaces of the robot for various relative configurations of its modules. Computer-aided-design simulations validate the proposed theoretical algorithms. The results demonstrate that the link interference between the modules, often ignored in other works, limits the workspace and should be considered for the proper workspace evaluation and design of similar hybrid robots.

Resilient Zulu moral economy compelled Natal’s sugar planters and white settler state to introduce Indian indentured workers since 1860. As concerns over productivity in a weak colonial economy informed this decision, meticulous management of labor time crucially shaped the treatment of migrant Indian indentees. Moreover, systemic violence in capital’s life processes formed the culture of work-discipline in the plantations and in other industrial sectors. Subsequently, as contract expired Indian indentees acquired relative economic mobility compared to Africans, they appeared in Zulu critiques of Natal’s settler colonial order. Ironically, dispossessed Zulus reproduced colonial logic of time management while discussing the comparative economic success of Indian “newcomers.” Zulu critiques of colonial labor management also complemented the racial exclusivity of migrant Indians. Analyzing the complex workings of capital, labor, and race in nineteenth-century Natal, this article explains how capital’s life processes shaped violent conflicts in the intimate domestic space of working-class lifeworld.

This article is concerned with finite rank stability theory, and more precisely two classical ways to decompose a type using minimal types. The first is its domination equivalence to a Morley product of minimal types, and the second is its semi-minimal analysis, both of which are useful in applications. Our main interest is to explore how these two decompositions are connected. We prove that neither determine the other in general, and give more precise connections using various notions from the model theory literature such as uniform internality, proper fibrations, and disintegratedness.