Jantzen filtration of Weyl modules for GL(m|n)

Let $G=GL(m|n)$ be a general linear supergroup over an algebraically closed field \text{bf}k} of odd characteristic p$. In this paper we construct Jantzen filtration of Weyl modules$V(\lambda)$of$G$when$\lambda$is a typical weight in the sense of Kac's definition, and consequently obtain a sum formula for their characters. By Steinberg's tensor product theorem, it is enough for us to study typical weights with aim to formulate irreducible characters. As an application, it turns out that an irreducible$G$-module$L(\lambda)$can be realized as a Kac module if and only if$\lambda$is$p$-typical.Comment: 36 page

Does Gender Make a Difference in Deception? The Effect of Transcranial Direct Current Stimulation Over Dorsolateral Prefrontal Cortex

Neuroimaging studies have indicated a correlation between dorsolateral prefrontal cortex (DLPFC) activity and deceptive behavior. We applied a transcranial direct current stimulation (tDCS) device to modulate the activity of subjects’ DLPFCs. Causal evidence of the neural mechanism of deception was obtained. We used a between-subject design in a signaling framework of deception, in which only the sender knew the associated payoffs of two options. The sender could freely choose to convey the truth or not, knowing that the receiver would never know the actual payment information. We found that males were more honest than females in the sham stimulation treatment, while such gender difference disappeared in the right anodal/left cathodal stimulation treatment, because modulating the activity of the DLPFC using right anodal/left cathodal tDCS only significantly decreased female subjects’ deception

Real-time Monitoring for the Next Core-Collapse Supernova in JUNO

Core-collapse supernova (CCSN) is one of the most energetic astrophysical events in the Universe. The early and prompt detection of neutrinos before (pre-SN) and during the SN burst is a unique opportunity to realize the multi-messenger observation of the CCSN events. In this work, we describe the monitoring concept and present the sensitivity of the system to the pre-SN and SN neutrinos at the Jiangmen Underground Neutrino Observatory (JUNO), which is a 20 kton liquid scintillator detector under construction in South China. The real-time monitoring system is designed with both the prompt monitors on the electronic board and online monitors at the data acquisition stage, in order to ensure both the alert speed and alert coverage of progenitor stars. By assuming a false alert rate of 1 per year, this monitoring system can be sensitive to the pre-SN neutrinos up to the distance of about 1.6 (0.9) kpc and SN neutrinos up to about 370 (360) kpc for a progenitor mass of 30$M_{\odot}$ for the case of normal (inverted) mass ordering. The pointing ability of the CCSN is evaluated by using the accumulated event anisotropy of the inverse beta decay interactions from pre-SN or SN neutrinos, which, along with the early alert, can play important roles for the followup multi-messenger observations of the next Galactic or nearby extragalactic CCSN.Comment: 24 pages, 9 figure

Trends and Hotspots Concerning Macular Hole between 2002 and 2021: A 20-Year Bibliometric Study

Background: Macular hole (MH) can severely impair central vision. Although it can be treated with vitrectomy surgery, avoiding recurrence and improving visual acuity are still priorities to be addressed. This study aims to reveal the trends and hotspots about MH. Methods: The Web of Science Core Collection (WOSCC) was used to perform a bibliometric analysis investigating trends of MH research from 2002 to 2021. We evaluated the details of associated regions, institutions, authors, and journals. To construct and overlay network visualizations, VOSviewer software was used. Results: In total, 1518 publications were collected. Our analysis showed that MH research is becoming increasingly relevant, with Japan achieving the largest number of publications (291), largest number of citations (7745 in total), and highest h-index value (48). Retina published the most publications on this topic, totaling more than the next two journals combined. An analysis of keyword co-occurrence was evaluated, highlighting several novel keywords of interest, such as flap technique, transplantation, epiretinal proliferation (EP), foveal microstructure, and retinal sensitivity. Conclusions: Details on MH research were uncovered by comprehensively analyzing the global trends and hotspots over the past two decades, presenting valuable information for future MH research. Japan, the USA, and China hold leading positions in research on this topic. Amendable surgical methods are a potential focus for improving prognosis

Quantitative evaluation of ocular vascularity and correlation analysis in patients with diabetic retinopathy by SMI and OCTA

Abstract Aims To find potential relation between retrobulbar vessels and fundus microvessels and to detect sensitive and effective clinical indicators in predicting the progress of diabetic retinopathy (DR), ocular hemodynamics were measured using superb microvascular imaging (SMI) and ultrawide-field optical coherence tomography angiography (UWF-OCTA). Methods Observational, cross-sectional study evaluating ocular hemodynamics in patients with DR by SMI (Aplio i900, Canon Medical) and UWF-OCTA (BM-400 K BMizar, Tupai Medical Technology). The peak systolic velocity (PSV), end-diastolic velocity (EDV), and resistive index (RI) of the central retinal artery (CRA), posterior ciliary artery (PCA), and ophthalmic artery (OA) were measured by SMI. UWF-OCTA evaluated the fundus vascular parameters. A correlation analysis was used to determine the correlation between SMI and UWF-OCTA parameters. Results One hundred thirty-nine eyes of 139 diabetic patients were included: 29 without DR (NDR), 36 with mild to moderate nonproliferative DR (M-NPDR), 37 with severe NPDR (S-NPDR), and 37 with proliferative DR (PDR). PSV and EDV of retrobulbar vessels decreased from NDR to S-NPDR while increasing PDR. RI of OA showed a decreasing trend in the progression of DR, but other vessels didn’t show the same trend. ROC curve analysis showed that CRAPSV, CRAEDV, PCAEDV, OAPSV, and OAEDV had diagnostic value distinguishing M-NPDR and S-NPDR. The correlation analysis observed a significant association between the SMI parameters of CRA and PCA and UWF-OCTA parameters. CRA hemodynamics were more associated with fundus vascular parameters, especially the retina, in the NDR group than in the M-NPDR group. In contrast, PCA consistently correlated with fundus vascular parameters, especially in the choroid, from the NDR to the M-NPDR group. However, OA showed a poor correlation with OCTA parameters. Conclusion The velocity of retrobulbar vessels, mainly the CRA, may serve as a valuable predictor for assessing the progress of DR. The use of SMI in diabetic patients may help identify patients at risk of developing retinopathy

Additional file 1 of Quantitative evaluation of ocular vascularity and correlation analysis in patients with diabetic retinopathy by SMI and OCTA

Additional file 1: Supplementary Table S1. Comparison of retinal blood flow parameters in UWF-OCTA in patients with different stages of DR. Supplementary Table S2. Choroidal blood flow parameters in UWF-OCTA in patients with different stages of DR. Supplementary Table S3. Correlation analysis of retrobulbar hemodynamics and IOP, MAP. Supplementary Fig. S1. Scatter plots between IOP and retrobulbar hemodynamics. Supplementary Fig. S2. Scatter plots between MAP and retrobulbar hemodynamics. Supplementary Table S4. Receiver curves of retrobulbar hemodynamic parameters between NDR and VTDR. Supplementary Fig. S3. ROC curves of ocular hemodynamics between NDR and VTDR

Highly Flexible, Multipixelated Thermosensitive Smart Windows Made of Tough Hydrogels

In a cold night, a clear window that will become opaque while retaining the indoor heat is highly desirable for both privacy and energy efficiency. A thermally responsive material that controls both the transmittance of solar radiance (predominantly in the visible and near-infrared wavelengths) and blackbody radiation (mainly in the mid-infrared) can realize such windows with minimal energy consumption. Here, we report a smart coating made from polyampholyte hydrogel (PAH) that transforms from a transparency state to opacity to visible radiation and strengthens opacity to mid-infrared when lowering the temperature as a result of phase separation between the water-rich and polymer-rich phases. To match a typical temperature fluctuation during the day, we fine-tune the phase transition temperature between 25 and 55 °C by introducing a small amount of relatively hydrophobic monomers (0.1 to 0.5 wt % to PAH). To further demonstrate an actively controlled, highly flexible, and high-contrast smart window, we build in an array of electric heaters made of printed elastomeric composite. The multipixelated window offers rapid switching, ∼70 s per cycle, whereas the device can withstand high strain (up to 80%) during operations