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.

Este ensayo revisa las siguientes películas:

Mi país imaginario / My Imaginary Country. Dir. Patricio Guzmán. Prod. Arte France Cinema (Francia) / Atacama Producciones / Market Chile. Chile, 2022. 83 mins. Disponible en Prime Video.

El que baila pasa / He Who Dances Passes. Dir. Carlos Araya Díaz. Prod. María Paz González, Carlos Araya Díaz. Chile, 2023. 70 mins. Disponible en Miradoc.

Oasis. Colectivo MAFI. Prod. Alba Gaviraghi y Diego Pino Anguita. Chile, 2024. 70 mins. Disponible vía Miradoc.cl.

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.

A long-standing conceptual debate regarding the identification and independence of first Mack and cross-flow instabilities is clarified over a Mach 5.9 sharp wing at zero angle of attack and varying sweep angles. Their receptivity of the boundary layers to three-dimensional slow acoustic and vorticity waves is investigated using linear stability theory, direct numerical simulation and momentum potential theory (MPT). Linear stability theory demonstrates that the targeted slow mode appears as the oblique first mode at small sweep angles ($0^\circ$ and $15^\circ$) and transitions to the cross-flow mode at larger sweep angles ($30^\circ$ and $45^\circ$). Direct numerical simulation indicates that both the oblique first mode and cross-flow mode share identical receptivity pathways: for slow acoustic waves, the pathway comprises ‘leading-edge damping–enhanced exponential growth–linear growth’ stages. For vorticity waves, it consists of ‘leading-edge damping–non-modal growth–linear growth’ stages. Momentum potential theory decomposes the fluctuation momentum density into vortical, acoustic and thermal components, revealing unified receptivity mechanisms: for slow acoustic waves, the leading-edge damping is caused by strong acoustic components generated through synchronization. The enhanced exponential growth stage is dominated by steadily growing vortical components, with acoustic and thermal components remaining at small amplitudes. For vorticity waves, leading-edge disturbances primarily consist of vortical components, indicating a distinct mechanism from slow acoustic waves. Non-modal stages originate from adjustments among MPT components. Vortical components dominate the linear growth stage for both instabilities. These uniform behaviours between first Mack and cross-flow modes highlight their consistency.

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.