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Liouville-type theorems for the steady incompressible Navier–Stokes system are investigated for solutions in a three-dimensional (3-D) slab with either no-slip boundary conditions or periodic boundary conditions. When the no-slip boundary conditions are prescribed, we prove that any bounded solution is trivial if it is axisymmetric or 
$ru^r$ is bounded, and that general 3-D solutions must be Poiseuille flows when the velocity is not big in 
$L^\infty$ space. When the periodic boundary conditions are imposed on the slab boundaries, we prove that the bounded solutions must be constant vectors if either the swirl or radial velocity is independent of the angular variable, or 
$ru^r$ decays to zero as 
$r$ tends to infinity. The proofs are based on the fundamental structure of the equations and energy estimates. The key technique is to establish a Saint-Venant type estimate that characterizes the growth of the Dirichlet integral of non-trivial solutions.
We present the first results from a new backend on the Australian Square Kilometre Array Pathfinder, the Commensal Realtime ASKAP Fast Transient COherent (CRACO) upgrade. CRACO records millisecond time resolution visibility data, and searches for dispersed fast transient signals including fast radio bursts (FRB), pulsars, and ultra-long period objects (ULPO). With the visibility data, CRACO can localise the transient events to arcsecond-level precision after the detection. Here, we describe the CRACO system and report the result from a sky survey carried out by CRACO at 110-ms resolution during its commissioning phase. During the survey, CRACO detected two FRBs (including one discovered solely with CRACO, FRB 20231027A), reported more precise localisations for four pulsars, discovered two new RRATs, and detected one known ULPO, GPM J1839 
$-$10, through its sub-pulse structure. We present a sensitivity calibration of CRACO, finding that it achieves the expected sensitivity of 11.6 Jy ms to bursts of 110 ms duration or less. CRACO is currently running at a 13.8 ms time resolution and aims at a 1.7 ms time resolution before the end of 2024. The planned CRACO has an expected sensitivity of 1.5 Jy ms to bursts of 1.7 ms duration or less and can detect 
$10\times$ more FRBs than the current CRAFT incoherent sum system (i.e. 0.5 
$-$2 localised FRBs per day), enabling us to better constrain the models for FRBs and use them as cosmological probes.
Chronic alcoholism can result in severe liver conditions such as fatty liver disease and cirrhosis, potentially leading to life-threatening complications and premature death.
This study investigated the age-sex distribution of patients with alcohol addiction and aimed to identify differences in clinic department preferences based on their principal and additional diagnoses in Taiwan, in 2022.
We conducted a comprehensive analysis of the diagnostic patterns of 334 patients with alcohol addiction from the Taoyuan General Hospital, Ministry of Health and Welfare.
Figure 1 depicts patient demographics, highlighting 297 male and 37 female patients with alcohol-related disorders. Males aged 41-60 years were particularly dominant, as shown in Figure 2. Principal diagnoses, including alcoholic liver disease and acute pancreatitis, are detailed in Table 1. Additional diagnoses, such as chronic pancreatitis and esophageal varices, are presented in Table 2. For departmental preferences, Table 3 reveals the Gastrointestinal (GI) department as the top choice, followed by Kidney, Neurological, and Cardiovascular/Chest. Top 5 Principal Diagnoses of Alcohol Addiction Patients. Top 5 Additional Diagnoses of Alcohol Addiction Patients. Top 5 Departments for Alcoholism Patient Presentation.ICD-10-CM Principle diagnosis Times Rank K70 Alcoholic liver disease 43 1 K85 Acute pancreatitis 27 2 F10 Alcohol related disorders 18 3 A41 Other sepsis 14 4 K86 Other chronic pancreatits 11 5 ICD-10-CM Additional diagnosis Times Rank F10 Alcohol related disorders 40 1 K86 Other chronic pancreatits 18 2 I85 Esophageal varices 16 3 K70 Other sepsis 16 E87 Other disorders of fluid, electrolyte and acid-base balance 15 4 R65 Symptoms and signs specifically associated with systemic inflammation and infection 10 5 Department Times Rank Gastrointestinal 162 1 Kidney 39 2 Neurological 25 3 Cardiovascular Chest 15 4
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The study revealed that patients with alcohol addiction often delay seeking psychiatric help instead of presenting for medical care only after liver or gastrointestinal complications occur. This underscores the crucial need for better health education regarding the relationship between alcohol addiction and liver disease. Prompt recognition and early intervention for substance addiction can significantly reduce these risks and improve patient outcomes.
None Declared
$\beta$-wave-based exploration of sensitive EEG features and classification of situation awareness
The purpose of this study was to explore the electroencephalogram (EEG) features sensitive to situation awareness (SA) and then classify SA levels. Forty-eight participants were recruited to complete an SA standard test based on the multi-attribute task battery (MATB) II, and the corresponding EEG data and situation awareness global assessment technology (SAGAT) scores were recorded. The population with the top 25% of SAGAT scores was selected as the high-SA level (HSL) group, and the bottom 25% was the low-SA level (LSL) group. The results showed that (1) for the relative power of 
$\beta$1 (16–20Hz), 
$\beta$2 (20–24Hz) and 
$\beta$3 (24–30Hz), repeated measures analysis of variance (ANOVA) in three brain regions (Central Central-Parietal, and Parietal) × three brain lateralities (left, midline, and right) × two SA groups (HSL and LSL) showed a significant main effect for SA groups; post hoc comparisons revealed that compared with LSL, the above features of HSL were higher. (2) for most ratio features associated with 
$\beta$1 ∼ 
$\beta$3, ANOVA also revealed a main effect for SA groups. (3) EEG features sensitive to SA were selected to classify SA levels with small-sample data based on the general supervised machine learning classifiers. Five-fold cross-validation results showed that among the models with easy interpretability, logistic regression (LR) and decision tree (DT) presented the highest accuracy (both 92%), while among the models with hard interpretability, the accuracy of random forest (RF) was 88.8%, followed by an artificial neural network (ANN) of 84%. The above results suggested that (1) the relative power of 
$\beta$1 ∼ 
$\beta$3 and their associated ratios were sensitive to changes in SA levels; (2) the general supervised machine learning models all exhibited good accuracy (greater than 75%); and (3) furthermore, LR and DT are recommended by combining the interpretability and accuracy of the models.
According to CEOWORLD Magazine‘s 2019 “Health Care Indicators” rating of 89 countries in the world, Taiwan ranks first in the world. The coverage of the National Health Insurance covers all necessary medical treatment, including outpatient, hospitalization, and prescription drugs etc. The psychiatrist was wondering which item with the highest service cost–performance (CP) ratio of the psychiatrist performance in a general hospital and used proportion of PPF as performance indicator. He used allocation to distribute the hours across job activities.
The purpose of this study is to investigate items allocation proportion for outpatient and inpatient ward in a specific month, examining the distribution of performance and figure out an appropriate model to optimal medical service.
Demographic data were collected through PPF projects included 15 outpatient items and 19 inpatient ward items from the third-month of the psychiatrist’s employment in the general hospital, as shown in Table 1. Items related to physiological examination has been excluded. The performance is calculated by combining outpatient and inpatient wards.
Demographic data analysis found that proportion of inpatient ward PPF (67.01%) was significantly greater than proportion of outpatient PPF (32.99%) (Figure 1). The inpatient ward performance was 2 times the outpatient performance. This result showed that most performance came from inpatient ward. Among all items of the proportion of PPF unit, the highest two for inpatient ward items were general hospital bed inpatient consultation (32.58%) and special treatment for psychiatric inpatients (14.35%), and for outpatient, the highest was psychiatric outpatient consultation - more than two (11.31%) (Table 1).
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National Health Insurance is an important system to assist in epidemic prevention during the COVID-19 period. The most PPF of psychiatrist service in a general hospital came from the service of inpatient ward items, including the general hospital bed inpatient consultation with the highest CP ratio. These findings may suggest that the inpatient service could offer psychiatrists fair PPF, and the hospital environment could be favorable for recruitment.
None Declared
In Taiwan, National Health Insurance has been implemented for 27 years and continues to receive international recognition. People pay part of the quota at the time of medical treatment, and the rest of the medical expenses will be paid by the national health insurance. In this study, the researcher, a psychiatrist in the general hospital, investigated the correlation between service and revenue. He has started to work in this hospital since November 1st, 2021, without any other psychiatrist peers.
This study used proportion of PPF as performance indicator and aimed to observe the changes of PPF unit from November 1st, 2021, to January 31st, 2022, examining the trend of PPF growth. The purpose is to figure out an appropriate model to optimize medical services and performance outcomes.
Demographic data were collected through PPF projects, consisting of 17 inpatient ward items and 14 outpatient items from November 1st, 2021, to January 31st, 2022, and items with no performance or related to physiological examination has been excluded. In addition, items with a ratio of greater than 1.5% are presented in the bar graphs, as shown in Figure 2 and 3. The performance proportion of inpatient ward and outpatient were calculated separately.
Demographic data found PPF rises significantly over time (Figure 1). The 2nd month PPF unit (27.09%) was 2.5 times the 1st month PPF unit (10.70%), and the 3rd month PPF unit (62.21%) was 2.2 times the 2nd month PPF unit (27.085%). The highest proportion of PPF items were general hospital bed inpatient consultation fee for inpatient ward item (Figure 2) and psychiatric outpatient consultation fee for outpatient item (Figure 3). Furthermore, only the proportion of psychiatric outpatient consultation – more than two consecutive transfers increased continuously and the proportion of psychiatric outpatient consultation – adjusted by the hospital decreased, the other items has not changed significantly.
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In the first three months of the psychiatrist employment, the performance showed an increasing trend. These findings may suggest that the psychiatrist could be competent in a general hospital with patients’ confidence. In addition, under an optimal model of PPF and medical service, psychiatrists would more like to work in the general hospital, to serve acute psychiatric patients in need.
None Declared
