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An example of a nonfinitely based involution monoid of order five has recently been discovered. We confirm that this example is, up to isomorphism, the unique smallest among all involution monoids. [ABSTRACT FROM AUTHOR]

Textile‐based generators that can convert low‐grade energy from the human body or environment into sustainable electricity have generated immense scientific interest in self‐powered wearable applications. However, their low power density and environmental suitability have extremely restricted their portable applications in complex and mutable environments. Herein, an asymmetric sandwich structure between molybdenum disulfide (MoS2)‐carbonized silks (MCs) and MoS2/MXene–Cottons (MMCs) to construct efficient thermo–hydroelectric generators (THEGs) that synergistically harvest heat‐moisture energy to generate considerable electricity is rationally designed. Notably, the large surface area of MoS2/MXene van der Waals heterojunctions (vdWhs) enables efficient charge collection, and the vertical MoS2 nanosheet arrays supply abundant nanochannels for a highly efficient hydration effect, generating an output power density of 32.26 µW cm−2 after wetting with deionized water. Combined with the sensitive temperature recognition ability with a Seebeck coefficient of 23.5 µV K−1, the application possibilities of these prepared THEGs in the mutual conversion of fingertip temperature/language, and the monitoring of the human physiological state is foresee. [ABSTRACT FROM AUTHOR]

In this paper, we show that all stalactic and taiga monoids of rank greater than or equal to 2 are finitely based and satisfy the same identities, that all sylvester monoids of rank greater than or equal to 2 are finitely based and satisfy the same identities and that all baxter monoids of rank greater than or equal to 2 are finitely based and satisfy the same identities. [ABSTRACT FROM AUTHOR]

Let M n be the variety generated by all monoids of order n. It was known that M n is finitely based if n ⩽ 4 and non-finitely based if n ⩾ 6. However, the finite basis problem for M 5 remained open. In this paper, we show that the variety M 5 is finitely based by giving a finite identity basis. Therefore, M n is finitely based if and only if n ⩽ 5. [ABSTRACT FROM AUTHOR]

Flexible hydroelectric generators (HEGs) are promising self-powered devices that spontaneously derive electrical power from moisture. However, achieving the desired compatibility between a continuous operating voltage and superior current density remains a significant challenge. Herein, a textile-based van der Waals heterostructure is rationally designed between conductive 1T phase tungsten disulfide@carbonized silk (1T-WS 2 @CSilk) and carbon black@cotton (CB@Cotton) fabrics with an asymmetric distribution of oxygen-containing functional groups, which enhances the proton concentration gradients toward high-performance wearable HEGs. The vertically staggered 1T-WS 2 nanosheet arrays on the CSilk fabric provide abundant hydrophilic nanochannels for rapid carrier transport. Furthermore, the moisture-induced primary battery formed between the active aluminum (Al) electrode and the conductive textiles introduces the desired electric field to facilitate charge separation and compensate for the decreased streaming potential. These devices exhibit a power density of 21.6 µW cm -2 , an open-circuit voltage (V oc ) of 0.65 V sustained for over 10 000 s, and a current density of 0.17 mA cm -2 . This performance makes them capable of supplying power to commercial electronics and human respiratory monitoring. This study presents a promising strategy for the refined design of wearable electronics., (© 2024 Wiley‐VCH GmbH.)

Flexible moisture-electric generators (MEGs) capture chemical energy from atmospheric moisture for sustainable electricity, gaining attention in wearable electronics. However, challenges persist in the large-scale integration and miniaturization of MEGs for long-term, high-power output. Herein, a vertical heterogeneous phase-engineering MoS 2 nanosheet structure based silk and cotton were rationally designed and successfully applied to construct wearable MEGs for moisture-energy conversion. The prepared METs exhibit ∼0.8 V open-circuit voltage, ∼0.27 mA/cm 2 current density for >10 h, and >36.12 μW/cm 2 peak output power density, 3 orders higher than current standards. And the large-scale device realizes a current output of 0.145 A. An internal phase gradient between the 2H semiconductor MoS 2 in carbonized silks and 1T metallic MoS 2 in cotton fibers enables a phase-engineering-based heterogeneous electric double layer functioning as an equivalent parallel circuit, leading to enhanced high-power output. Owing to their facile customization for seamless adaptation to the human body, we envision exciting possibilities for these wearable METs as integrated self-power sources, enabling real-time monitoring of physiological parameters in wearable electronics.

Background: The imbalanced allocation of medical resources leads to the occurrence of cross-regional healthcare-seeking in China. Due to the low cure rate, advanced colorectal cancer (CRC) patients may seek cross-regional healthcare for high-level medical facilities. Investigating status of cross-regional healthcare-seeking and its associated factors among advanced CRC patients is important for policymakers to understand access to health services and improve the quality of oncology services., Methods: From March 2020 to March 2021, a cross‑sectional, nation-wide, hospital-based, multi-center survey was conducted. Nineteen hospitals in seven regions were selected by multi-stage stratified sampling. All eligible CRC patients in the selected hospitals were invited to participate in the current study. The outcome variable, cross-regional healthcare-seeking, was defined as seeking health facilities outside the local administration policy of medical insurance. The demographics, clinical information, and medical treatment history of each eligible CRC patient in stage III or IV, were collected through the patients' self-reporting or medical records by trained interviewers. Univariate and multivariate logistic analyses were used to explore the associated factors of cross-regional healthcare-seeking. All statistical analyses were conducted using SAS 9.4., Results: A total of 4,589 individuals with advanced CRC were included. The average age of the patients was 60.1±11.6 years, and 59.5% were males. About 37.5% of the patients suffered from metastatic CRC at first diagnosis. Approximately 36.5% of the patients had sought cross-regional health care previously, and among them, 31.9% had encountered problems. The most common problems included complicated procedures (95.3%), unreimbursed expenses of outpatient service (71.0%), and reimbursement delay (59.4%). Logistic regression analysis showed that patients who completed undergraduate or above [odds ratio (OR) =1.40, 95% confidence interval (CI): 1.13-1.73], had an annual household income of more than 100,000 Chinse Yuan (CNY) (OR =1.46, 95% CI: 1.21-1.78), and had metastasis at diagnosis (OR =1.33, 95% CI: 1.18-1.51) were more likely to seek cross-regional health care., Conclusions: About one third of advanced CRC patients seek cross-regional health care, and 31.9% had encountered problems. There is a need to simplify procedures of reimbursement, optimize direct settlement system and referral mechanisms in order to improve the equality of health services., Competing Interests: Conflicts of Interest: All authors have completed the ICMJE uniform disclosure form (available at https://atm.amegroups.com/article/view/10.21037/atm-22-1003/coif). All authors report that the research was funded by Merck Serono Co. Ltd. The authors have no other conflicts of interest to declare., (2022 Annals of Translational Medicine. All rights reserved.)