In our previous paper, we gave a presentation of the torus-equivariant quantum K-theory ring $QK_{H}(Fl_{n+1})$ of the (full) flag manifold $Fl_{n+1}$ of type $A_{n}$ as a quotient of a polynomial ring by an explicit ideal. In this paper, we prove that quantum double Grothendieck polynomials, introduced by Lenart-Maeno, represent the corresponding (opposite) Schubert classes in the quantum K-theory ring $QK_{H}(Fl_{n+1})$ under this presentation. The main ingredient in our proof is an explicit formula expressing the semi-infinite Schubert class associated to the longest element of the finite Weyl group, which is proved by making use of the general Chevalley formula for the torus-equivariant K-group of the semi-infinite flag manifold associated to $SL_{n+1}(\mathbb {C})$.

A compact microstrip eight-channel diplexer based on quad-mode stepped impedance resonator (QMSIR) is proposed in this paper. The proposed diplexer is composed by two second-order quad-band bandpass filters (BPFs) and common-port distributed coupling matching circuit. Each quad-band BPF is formed by two coupled-QMSIRs controlling the passband characteristics. By introducing multiple coupling paths between input and output ports, the isolation between the eight channels is performed. For demonstration, an eight-channel diplexer based on QMSIR is designed and fabricated with microstrip technology. The use of the QMSIR can lead to significant size reduction for the multiplexer, this is because the required resonator number is reduced. As a result, the diplexer occupies a compact size of 0.083λ2, which is smaller than most of the eight-channel diplexers that have been proposed. And the 3 dB fractional bandwidth is 97% (2.5–7.2 GHz). Measurement results correlate well with the simulated predictions, showing that a good isolation of better than 20 dB and upper stopband of better than 10 dB.

Research on campaign finance suggests that Americans prefer candidates who are not funded by Political Action Committees (PACs). However, prior research has not examined how perceptions of a candidate who is PAC-funded vs. PAC-free might differ for racial minority and female candidates compared to White, male candidates. Using experimental vignettes, we test the causal impact of PAC funding, race, and gender on voter perceptions of the candidate. We find that refusing PAC funds, for example, is associated with appearing more ethical and more likely to work for voters’ interests over special interests, less corrupt, and more capable of winning elections. However, we show that race, more than gender, interacts with PAC funding to impact voter perceptions. We find that White female and male candidates benefit the most from PAC refusal. While Black female and male candidates receive little or no significant change in perceptions, Black PAC-funded candidates are perceived favorably compared to White PAC-funded candidates. Our results have implications for White and Black political candidates considering their funding strategies. Additionally, we contribute to existing literature by showing that refusing PAC funds status does not signal the same qualities for all candidates.

Understanding the mechanisms behind the remote triggering of landslides by seismic waves at micro-strain amplitude is essential for quantifying seismic hazards. Granular materials provide a relevant model system to investigate landslides within the unjamming transition framework, from solid to liquid states. Furthermore, recent laboratory experiments have revealed that ultrasound-induced granular avalanches can be related to a reduction in the interparticle friction through shear acoustic lubrication of the contacts. However, investigating slip at the scale of grain contacts within an optically opaque granular medium remains a challenging issue. Here, we propose an original coupling model and numerically investigate two-dimensional dense granular flows triggered by basal acoustic waves. We model the triggering dynamics at two separated time scales – one for grain motion (milliseconds) and the other for ultrasound (10 ${\rm \mu} {\rm s}$) – relying on the computation of vibrational modes with a discrete element method through the reduction of the local friction. We show that ultrasound predominantly propagates through the strong-force chains, while the ultrasound-induced decrease of interparticle friction occurs in the weak contact forces perpendicular to the strong-force chains. This interparticle friction reduction initiates local rearrangements at the grain scale that eventually lead to a continuous flow through a percolation process at the macroscopic scale – with a delay depending on the proximity to the failure. Consistent with experiments, we show that ultrasound-induced flow appears more uniform in space than pure gravity-driven flow, indicating the role of an effective temperature by ultrasonic vibration.

This study identifies two previously unrecognised screech modes in non-axisymmetric jets. Spectral proper orthogonal decomposition (SPOD) of ultra-high-speed schlieren images reveals a bi-axial flapping mode in a rectangular jet and a quasi-helical mode in an elliptical jet. To educe the complex three-dimensional structure of these new modes, SPOD is performed on datasets from different viewing perspectives, produced by rotating the nozzle with respect to the schlieren path to an azimuthal angle $\theta$. The bi-axial flapping mode is strongly antisymmetric from any perspective. However, the SPOD eigenvalue at the screech frequency ($\lambda _s$) varies with $\theta$ and the axial distance of the SPOD domain from the nozzle lip. This mode most closely resembles a flapping mode in the minor-axis plane close to the nozzle lip and a wagging mode in the major-axis plane further downstream. This transition from flapping to wagging at the same frequency correlates with the axis switching defined by the shock-cell structure in the mean flow. The quasi-helical mode in the elliptical jet is characterised by an antisymmetric structure present in the SPOD spatial modes whose eigenvalue $\lambda _s$ is insensitive to both $\theta$ and the axial domain. These findings indicate that the spatial evolution of the mean flow in non-axisymmetric jets may allow them to support a range of additional screech modes that differ significantly from those supported by the original three-dimensional shape of the jet.

This paper asserts that critiques of political science for neglecting Indigenous politics highlight a critical gap that risks overlooking significant conceptual and practical innovations. It emphasizes how Indigenous autonomy claims challenge traditional notions of sovereignty. Scholars of Indigenous politics in Latin America, publishing in area studies journals, provide essential insights into these autonomy claims and contribute valuable perspectives to the discipline. We identify rigorous scholarly work in English language, peer-reviewed journals exploring Indigenous autonomy, conceptualizing it as a multifaceted notion that encompasses political visions, practices, and social movement agendas. Through a comprehensive meta-analysis of literature in Latin American area studies, we argue that this field offers four fundamental insights. First, Indigenous peoples deploy diverse strategies to assert their rights, positioning themselves as active citizens and political agents rather than passive groups. Second, the emergence of multicultural institutions that integrate individual and collective rights is fundamentally reshaping politics and citizenship, leading to innovative governance structures. Third, accumulation by dispossession remains a crucial driver of wealth creation, severely undermining Indigenous autonomy and degrading their environments. Finally, a renewed emphasis on Indigenous territorial autonomy decisively challenges conventional views of state sovereignty, as Indigenous peoples assert territorial and nonterritorial rights.

Biallelic pathogenic variants in the inorganic pyrophosphatase 2 (PPA2) gene are a rare but established cause of sudden infant death, which may be precipitated by a pyrexial or viral illness. It has also been associated with sudden death secondary to alcohol ingestion in young adults. We describe the case of a thirteen-month-old female who presented following out-of- hospital cardiac arrest and was subsequently diagnosed with compound, heterozygous pathogenic variants of PPA2. She survived this episode and made excellent neurological recovery despite her prolonged out-of-hospital resuscitation. This case describes her initial presentation, consideration of PPA2-related cardiac arrest in the differential diagnosis, and the subsequent secondary preventative strategies. These included insertion of an implantable cardiac defibrillator, avoidance of alcohol in her medication preparations and administration of childhood vaccinations in a hospital environment due to risk of pyrexia-induced arrhythmias.