Typical Curve Research Articles

Statistical Study of Low-Intensity Single-Molecule Recognition Events Using DeepTipTM Probes: Application to the Pru p 3-Phytosphingosine System.

The interaction between the plant lipid transfer protein Pru p 3 and phytosphingosine was assessed using an atomic force microscope. Phytosphingosine was covalently immobilized on DeepTipTM probes and Pru p 3 on MicroDeckTM functionalized substrates. Single-molecular interaction events between both molecules were retrieved and classified and the distribution for each one of the identified types was calculated. A success rate of over 70% was found by comparing the number of specific Pru p 3-phytosphingosine interaction events with the total number of recorded curves. The analysis of the distribution established among the various types of curves was further pursued to distinguish between those curves that can mainly be used for assessing the recognition between phytosphingosine (sensor molecule) and Pru p 3 (target molecule) in the context of affinity atomic force microscopy, and those that entail details of the interaction and might be employed in the context of force spectroscopy. The successful application of these functionalized probes and substrates to the characterization of the low-intensity hydrophobic interaction characteristic of this system is a clear indication of the potential of exploiting this approach with an extremely wide range of different biological molecules of interest. The possibility of characterizing molecular assembly events with single-molecule resolution offers an advantageous procedure to plough into the field of molecular biomimetics.

Fracture Spacing Optimization Method for Multi-Stage Fractured Horizontal Wells in Shale Oil Reservoir Based on Dynamic Production Data Analysis

In order to improve the shale oil production rate and save fracturing costs, based on dynamic production data, a production-oriented optimization method for fracture spacing of multi-stage fractured horizontal wells is proposed in this study. First, M. Brown et al.’s trilinear seepage flow models and their pressure and flow rate solutions are applied. Second, deconvolution theory is introduced to normalize the production data. The data of variable pressure and variable flow rate are, respectively, transformed into the pressure data under unit flow rate and the flow rate data under unit production pressure drop; and the influence of data error is eliminated. Two kinds of typical curve of the normalized data are analyzed using the pressure and flow rate solutions of M. Brown et al.’s models. The two fitting methods constrain each other. Thus, reservoir and fracture parameters are interpretated. A practical model has been established to more accurately describe the seepage flow behavior in shale oil reservoirs. Third, using Duhamel’s principle and the rate solution, the daily and cumulative production rate under any variable production pressure can be obtained. The productivity can be more accurately predicted. Finally, the analysis method is applied to analyze the actual dynamic production data. The fracture spacing of a shale oil producing well in an actual block is optimized from the aspects of production life, cumulative production, economic benefits and other influencing factors, and some significant conclusions are obtained. The research results show that with the goal of maximum cumulative production, the optimal fracture spacing is 5.5 m for 5 years and 11.4 m for 10 years. All in all, the fracture spacing optimization and design theory of multi-stage fractured horizontal wells is enriched.

Correlation between dynamic contrast-enhanced MRI characteristics and apparent diffusion coefficient with Ki-67-positive expression in non-mass enhancement of breast cancer

As a remarkably specific characteristic of breast cancer observed on magnetic resonance imaging (MRI), the association between the NME type breast cancer and prognosis, including Ki-67, necessitates comprehensive exploration. To investigate the correlation between dynamic contrast-enhanced MRI (DCE-MRI) characteristics and apparent diffusion coefficient (ADC) values with Ki-67-positive expression in NME type breast cancer. A total of 63 NME type breast cancer patients were retrospectively reviewed. Malignancies were confirmed by surgical pathology. All patients underwent DCE and diffusion-weighted imaging (DWI) before surgery. DCE-MRI characteristics, including tumor distribution, internal enhancement pattern, axillary adenopathy, and time-intensity curve types were observed. ADC values and lesion sizes were also measured. The correlation between these features and Ki-67 expression were assessed using Chi-square test, Fisher’s exact test, and Spearman rank analysis. The receiver operating characteristic curve and area under the curve (AUC) was used to evaluate the diagnostic performance of Ki-67-positive expression. Regional distribution, TIC type, and ipsilateral axillary lymph node enlargement were correlated with Ki-67-positive expression (χ2 = 0.397, 0.357, and 0.357, respectively; P < 0.01). ADC value and lesion size were positively correlated with Ki-67-positive expression (rs = 0.295, 0.392; P < 0.05). The optimal threshold values for lesion size and ADC value to assess Ki-67 expression were determined to be 5.05 (AUC = 0.759) cm and 0.403 × 10–3 s/mm2 (AUC = 0.695), respectively. The best diagnosis performance was the ADC combined with lesion size (AUC = 0.791). The ADC value, lesion size, regional distribution, and TIC type in NME type breast cancer were correlated with Ki-67-positive expression. These features will aid diagnosis and treatment of NME type breast cancer.

Effect of roughness on shear behavior of interface between cemented paste backfill and rock

The interaction between cemented paste backfill (CPB) and rock at their interface plays a crucial role in the stability of underground backfill structures. Considering the interface roughness could have a significant influence on the shear behavior and mechanical properties of the interface, a series of laboratory direct shear tests were carried out on the CPB-rock interface with various roughnesses. The results indicates that the interface roughness and normal stresses have a remarkable effect on the interfacial shear behavior, with typical stress-shear displacement curves that could be classified into three types depending on the peak and post-peak characteristics. Compared to the smooth interface, the shear strength increases with increasing roughness, owing to the enhancing interlocking effect, which is confirmed by digital image correlation (DIC) in micro views. In addition, the shear contraction observed at the smooth interface changes to shear dilatation at the rough interface, which is caused by wider distribution and higher adhesion of CPB asperities, as observes by using 3D laser scanning technology. Furthermore, a theoretical model for the shear strength, taking into account the influence of interface roughness, is developed to assess its effect on shear strength. The experimental results and the theoretical model presented in this paper will contribute to better understand the interaction mechanism and predict the shear strength of the interface.

Miura maps for Stäckel systems

We introduce the concept of Miura maps between parameter-dependent algebraic curves of hyper-elliptic type. These Miura maps induce Miura maps between Stäckel systems defined (on the extended phase space) by the considered algebraic curves. This construction yields a new way of generating multi-Hamiltonian representations for Stäckel systems.

Classification of longitudinal strain curves measured by speckle-tracking echocardiography in normal and pathological myocardial segments

Abstract Background Two-dimensional speckle-tracking echocardiography (2D-STE) provides a quantitative tool to evaluate LV function at the regional level. The purpose of this study was to classify the types of regional longitudinal strain curves (LSC). Moreover, we propose a novel longitudinal strain curve index (LSCI) which we compared to the wall motion score index (WMSI). Methods We enrolled 100 healthy volunteers and 50 patients with prior myocardial infarction (MI). Each LSC was classified considering the positive peak (peak P), peak maximum strain (PMS), and time to maximum peak strain (TPMS) as follows: Type 1 (Peak P&lt;6%, PMS&gt;6%, TPMS before aortic valve closure [AVC]); Type 2 (Peak P&lt;6%, PMS≥6%, TPMS after AVC); Type 3 (Peak P≥6%, PMS≥6%, TPMS before AVC); Type 4 (Peak P≥6%, PMS≥6%, TPMS after AVC); Type 5 (Peak P&lt;6%, PMS≥6%, TPMS first third of systole); Type 6 (Peak P&lt;6%, PMS&lt;6%); and Type 7 (Peak P≥6%, PMS&lt;6%). The longitudinal curve score index (LCSI) was obtained (sum of LSC type/18 segments). Results A total of seven types of LSC were identified. In the healthy subjects, LSC Type 1 (T1) and Type 2 (T2) were the most frequent. Type 3 (T3) and Type 4 (T4) were found in insignificant percentages while Type 5 (T5), Type 6 (T6), and Type 7 (T7) were not identified. When analyzed for the entire population, LSCI correlated strongly with WMSI (r=0.83, p&lt;0.01). Conclusions Analysis of LSC may provide a substantial support to visual assessment of regional LV function and the LCSI represents an index that is highly reproducible, independent of the examiner’s experience.

Kinetic Assessment of the Biodegradability of Gel-Forming Soil Conditioners in Incubation Experiments with Instrumental Monitoring of Carbon Dioxide

A quantitative study of the biodegradability of polymer soil conditioners is necessary for a reasonable prediction of their stability and functioning in soils. For this purpose, a new methodological approach based on PASCO (USA) equipment was proposed. This approach allows recording continuous kinetic curves of CO2 emission in laboratory experiments based on incubation of composite gel-forming soil conditioners. Several characteristic types of respiration curves have been identified, and new physically based models have been proposed for their description with subsequent calculation of the half-lives of composite hydrogels. For the traditionally considered non-biodegradable acrylic superabsorbents of soil water, the possibility of rapid biodegradation was shown for the first time in the case of the addition of a biologically active compost extract into their liquid phase. With this treatment, which brings laboratory experiments closer to real soil conditions, the half-lives of both the well-known European Aquasorb and Zeba superabsorbents and the Russian Aquapastus hydrogel decreased by an order of magnitude from the initial values of 2–6 years to 0.1–0.3 years. In practice, this can negatively affect the profitability of using such materials for soil conditioning due to their rapid destruction and loss of functionality. The addition of silver ions into innovative Aquapastus composite superabsorbents at a dose of 0.1% or 10 ppm in swollen gel structures effectively reduces their biodegradability, prolonging the half-life to 10 years or more, which is twice the German standard DüMV 05.12.12 of the stability of polymer ameliorants.

Kinetic Assessment of the Biodegradability of Gel-Forming Soil Conditioners in Incubation Experiments with Instrumental Monitoring of Carbon Dioxide

A quantitative study of the biodegradability of polymer soil conditioners is necessary for a reasonable prediction of their stability and functioning in soils. For this purpose, we proposed a new methodological approach based on PASCO (USA) equipment, which allows recording continuous kinetic curves of CO2 emission in laboratory experiments on incubation of composite gel-forming soil conditioners. Several characteristic types of respiratory curves have been identified and new physically based models have been proposed for their description with subsequent calculation of the half-lives of composite hydrogels. For the traditionally considered non-biodegradable acrylic superabsorbents of soil water, the possibility of rapid biodegradation was shown for the first time in the case of the introduction of a biologically active compost extract into their liquid phase. With this treatment, which brings laboratory experiments closer to real soil conditions, the half-lives of both the well-known Western superabsorbents Aquasorb and Zeba and the Russian hydrogels Aquapastus decreased by an order of magnitude from the initial values of 2–6 years to 0.1–0.3 years. In practice, this can negatively affect the profitability of using such materials for soil conditioning due to their rapid destruction and loss of functionality. The introduction of silver ions into innovative Aquapastus composite superabsorbents at a dose of 0.1% or 10 ppm in swollen gel structures effectively reduces their biodegradability, prolonging the half-life to 10 years or more, which is twice the German standard DüMV 05.12.12 for the stability of polymer meliorants.

A empatia dos enfermeiros com os pacientes em hospitais públicos

Objective: to determine the levels of empathy in professional nurses of a high-complexity hospital, to relate age to empathy (and each one of its dimensions), and to establish if there are differences between these levels according to the type of working schedules. Method: comparative, correlational and cross-sectional design. The sample used (n=271) constituted 40.9% of the total number of nursing professionals. Psychometric properties of the Jefferson Scale of Empathy for Health Professionals were studied. Descriptive statistics were calculated: mean and standard deviation. The association between empathy and age was estimated using regression equations and statistical significance of the regression coefficients, after evaluating the type of curve using variance analysis. Results: the underlying model of three dimensions of empathy was identified. The values of the descriptive statistics observed were relatively low in empathy and its dimensions. Empathy levels were not associated with the age range. No differences in empathy were found between the types of work schedules. Variability was found in the dimensions: “compassionate care” and “Walking on the patient’s shoes”. Conclusion: these results show that the levels of empathy observed may imply a deficient performance in empathetic care for patients.

Working nurses' empathy with patients in public hospitals.

to determine the levels of empathy in professional nurses of a high-complexity hospital, to relate age to empathy (and each one of its dimensions), and to establish if there are differences between these levels according to the type of working schedules. comparative, correlational and cross-sectional design. The sample used (n=271) constituted 40.9% of the total number of nursing professionals. Psychometric properties of the Jefferson Scale of Empathy for Health Professionals were studied. Descriptive statistics were calculated: mean and standard deviation. The association between empathy and age was estimated using regression equations and statistical significance of the regression coefficients, after evaluating the type of curve using variance analysis. the underlying model of three dimensions of empathy was identified. The values of the descriptive statistics observed were relatively low in empathy and its dimensions. Empathy levels were not associated with the age range. No differences in empathy were found between the types of work schedules. Variability was found in the dimensions: "compassionate care" and "Walking on the patient's shoes". these results show that the levels of empathy observed may imply a deficient performance in empathetic care for patients. (1) The levels of empathy are low in the nursing professionals studied. (2) These levels are not associated with age and type of work performed. (3) Low levels of empathy could imply a negative alteration of humanized attention.

Price-Based Demand Response: A Three-Stage Monthly Time-of-Use Tariff Optimization Model

In this research, we developed a three-stage monthly time-of-use (TOU) tariff optimization model to address the concerns of confusing time period division, illogical price setting, and incomplete seasonal element consideration in the previous TOU tariff design. The empirical investigation was conducted based on load, power generation, and electricity pricing data from a typical northwest region in China in 2022. The findings indicate the following: (1) In producing the typical net load curves, the employed K-means++ technique outperformed the standard models in terms of the clustering effect by 4.27–26.70%. (2) Following optimization, there was a decrease of 1900 MW in the maximum monthly abandonment of renewable energy, a decrease of 0.31–53.94% in the peak–valley difference, and a decrease of 2.03–17.27% in the monthly net load cost. (3) By taking extra critical peak and deep valley time periods into account, the average net load cost decreased by 10.36% compared with conventional peak–flat–valley time period division criteria.

ESTIMATION OF AQUFER TRANSMISSIVITY FOR TYPICAL OIL PRODUCING COMMUNITIES OF WESTERN NIGER DELTA USING ELECTRICAL RESISTIVITY SURVEY

Geophysical electrical resistivity method (Vertical Electrical Sounding) using Schlumberger configuration was employed to investigate subsurface formations and aquifer transmisivity in Agbarotor, Agbarha-Otor and Edoiede Agbarha-Otor in Ughelli North Local Government Area in Delta State, Southern Nigeria with VES evenly carried out in the aforementioned study areas. ABEM Signal averaging system (SAS) 1000 Terrameter, was one of the major equipments used in obtaining the resistivity field data with a maximum current electrodes spreading of 500m done with the aid of a tape. The interpretation of the data gotten from the field was done using WINRESIST software coupled with the qualitative and quantitative curve matching to obtain modelize parameters and curves type for various VES points. The model parameters displayed up to six formations layers which include topsoil, laterite, clay and sand (fine, medium and coarse) formation. The resistivity of the confined aquifer ranges from 1037.6-4986.5Ωm with thickness varying interval of 16.3m and 42.9m. The investigation denote that VES 1 of Agbarotor, VES 6 for Agbarha-Otor and VES 7,9,10 of Edoiede Agbarha-Otor are the best locations for citing boreholes in the studied areas since they are characterize with higher resistivity (low corrosivity) and moderate or higher transmisivity. Thus aquifer transmisivity in the cited areas are of good quality and the produce can sustain the people of the areas and neighboring environs for long period of time. I recommend that the samples of VES water locations should be tested from time to time to ascertain its Level of contaminations for future remedial measure and a water system for the general public should be drilled in the aforementioned VES points.

Synergies and trade-offs of ecosystem services affected by land use structures of small watershed in the Loess Plateau

The Chinese government has implemented a series of ecological restoration projects in the Loess Plateau (LP), and the surface cover changed dramatically, impacting the ecosystem services (ESs) greatly. In this study, we used K-means clustering to classify the land use structures (LUSs) of the LP from 1990 to 2015 at the small watershed scale, and investigated the effects of LUS on water supply (WS), soil conservation (SC), and carbon sequestration (CS, expressed as NPP) with constraint lines. The values of WS and SC were obtained from the InVEST simulation, validated by the hydrographic station data. The results showed that the LUSs in LP were cropland structure (CLS, distinguished with CS), forest structure (FS), grassland structure (GS), crop-grassland structure (CGS), crop-forest-grassland structure (CFGS) and a very few areas of barren structure (BS). The proportion of dominant land use in those LUSs with a balance of WS, SC, and CS was 0.6–0.7 (cropland in CLS), 0.5 (forest in FS), 0.45/0.4 (cropland/grassland in CGS), 0.75 to 0.85 (grassland in GS), and 0.15/0.4/0.25 to 0.35 (cropland/forest/grassland in CFGS), respectively. The types of constraint curves of ESs for those LUSs involves hump-shaped curve, negative convex, half-concave-waved curve and concave-waved curve. This study proposed a method to objectively delineate LUS and improved the constraint line method to make it suitable for cases with less data, innovatively presenting the variation of ESs inside LUSs, which may provide a reference for optimal land planning and sustainable development of social-ecological systems.

Biological aspect approach in sustainable management of coral catshark Atelomycterus marmoratus (Anonymous [Bennett], 1830) in Bali Strait, Indonesia

Abstract. Lelono TD, Bintoro G, Harlyan LI, Setyanto A, Rihmi MK, Rudianto D. 2023. Biological aspect approach in sustainable management of coral catshark Atelomycterus marmoratus (Anonymous [Bennett], 1830) in Bali Strait, Indonesia. Biodiversitas 24: 5873-5882. Coral catshark (Atelomycterus marmoratus) is a shark species that thrives in many coral reefs. to evaluate the biological aspects of A. marmoratus and their type of growth curve for a time series to support their sustainability. Sampling was performed from August 23rd, 2019, to March 31st, 2020. The morphological analysis was performed by recording or photographing to reduce possible errors. Then, the length-weight relationship, sex ratio, length at first captured and matured, and spawning ratio were evaluated. The present study demonstrated that the coral catshark captured in the cohort that produces two cohorts only happens in February. The sex ratio is 41.6% male and 48.4% female, which is considered healthy, whereas the remaining percentage is so severely damaged that its gender cannot be determined. The FISAT-II software analysis results in a von Bertalanffy growth formula of Lt = 76.21 (1-e-2.01(t+0.0596)) with t max = 1.49/ year and L max = 77.39 cm. They grow steadily or tend to slow down after they reach the age of 1.5 years, with an asymptotic length of 77.39 cm. The Lc value (67.5 cm) is more significant than their Lm value (53 cm), indicating that their sustainability is highly possible to maintain because only fish that have passed the spawning stage are captivated. The spawning potential rate (SPR) is 35%, with M = 0.66, E = 1.85, and F = 0.78. These results indicate that the exploitation rate of coral catshark is moderate because 20% &lt; SPR &lt; 40%. In conclusion, the A. marmoratus length-weight relationship is categorized as negative allometric, where the length grows faster than the weight.

Hydrodynamics of a bubble passing through a Kelvin cell in microchannel with shear-thinning fluid

Open cell solid foams (OCSF) show great potential for process intensification in heterogeneously catalyzed reactions due to their favorable properties regarding heat-mass transfer, pressure drop and specific surface area (SSA). As one of the most ideal OCSF structure, Kelvin cell (KC) exhibits a fundamental importance in fully understanding the complex flow and transport properties of these reactions, but the research involving gas-liquid two-phase flow is still missing. In this work, the hydrodynamics of a bubble through a representative elementary volume with KC model in minichannel with sodium carboxymethyl cellulose aqueous solution are investigated by coupled level-set and volume-of-fluid method. The regime of bubble penetration into KC is elucidated. The specific surface area and permeability of bubble are studied by systematically analyzing the influences of solution concentration, liquid velocity, KC's porosity and contact angle, as well as fluid type. Four penetration regimes of approaching stage, engraving stage, extruding stage, and deviating stage are identified, and a typical curve of SSA of bubble in terms of flow time is acquired accurately. It is found that the drastic changes in SSA and permeability are closely related to the engraving and extruding stages. The average SSA in two involved stages increases with solution concentration, decreases with KC's porosity. The maximum permeability corresponding to the transition point between two stages, decreases with solution concentration, increases slightly with KC's porosity. However, liquid flow velocity and KC's contact angle have no significant effect on both the average SSA and the maximum permeability. Compared with water, a small SSA tends to be obtained and the permeability climbs slowly but reaches a high peak in CMC solution.

Study on mechanical characteristics and energy accumulation and release law of coal samples with different saturation and creep damage

ABSTRACT Under the long-term influence of overburden load and water infiltration, coal undergoes creep damage, and the disturbance caused by mining activities can lead to sudden instability, triggering geological disasters such as mine flooding. Therefore, this study prepared four types of coal samples with different saturations under creep damage conditions and conventional coal samples. A comparative study was conducted using uniaxial compression tests to examine the deterioration characteristics of physical and mechanical parameters, failure modes, and energy evolution patterns in these two types of coal samples. Additionally, a microscopic deterioration model of coal samples under the combined influence of water and creep damage was constructed to elucidate the mechanism of creep damage on the deterioration of mechanical properties in water-containing coal samples. The research findings indicate that coal samples affected by creep damage and conventional coal samples exhibit significant consistency in mechanical parameters and energy evolution patterns. Specifically, an increase in saturation is positively correlated with peak stress, elastic modulus, and dissipated energy. Conversely, peak strain, total input energy, and elastic strain energy are negatively correlated with rising saturation levels. Under the same saturation conditions, the change in mechanical parameters and energy characteristics is more pronounced in creep-damaged coal samples. Furthermore, the stress-strain curves of both coal sample types exhibit prolonged compaction stages, shortened elastic stages, and more significant yield stages. Under equivalent saturation levels, the stress-strain trends in creep-damaged coal samples show more substantial variations. Upon loading and failure, the conventional coal sample transitions from single inclined plane shear failure to tension-shear mixed failure as the saturation increases. Conversely, the creep-damaged coal sample shifts from “X”-type conjugate shear failure and tension-shear mixed failure to tension failure, signifying a tendency toward more complex failure modes. In cases where the coal sample has a water saturation of 41%, the deterioration of its mechanical parameters is primarily attributed to creep damage. However, when the water saturation reaches 41–100%, water plays a dominant role in the deterioration of the coal sample’s mechanical parameters. After experiencing creep damage, the internal micro-cracks of the coal sample are extensively developed, which is also the primary factor contributing to the deterioration of the coal sample’s mechanical properties and an increased proportion of dissipated energy.

The electrical characteristics and conduction mechanisms of Zn doped silicon-based Schottky barrier diode

In this study, we investigated the effects of Zn doping on electrical properties and conduction mechanisms of n-silicon (n-Si) diodes using current-voltage (I–V) and capacitance-voltage-frequency (C–V–f) measurements. The results revealed that Zn doping alters the I–V behaviour of the diode from a typical exponential curve to an ohmic one. Notably, Zn doping increased the reverse current by a factor of 37, while reducing the forward current by a factor of 3 at 3 V. This suggested that Zn-related defects introduced more minority carriers into the Si. The introduction of minority carriers is confirmed by a change in material conductivity-type from n-to p-type. Moreover, Zn doping reduces the full depletion voltage (FDV), meaning the diode could be fully depleted with a lower voltage. This reduction in FDV was crucial for designing highly sensitive radiation detectors. The observed changes in the diode's electrical behaviour were attributed to defects introduced by Zn into Si. Zn-doped n-Si diodes exhibited characteristics akin to radiation-resistant diodes. These findings implied that Zn may be instrumental in advancing research focused on enhancing silicon properties and developing radiation-resistant detectors for high-energy physics studies.

Relationship between Horizontal Curve Geometry and Single-Vehicle Crash Occurrence on Rural Secondary Highways

Single-vehicle crashes are overrepresented on rural two-lane highway curves. While prior work investigated the relationship between crash occurrence and aggregate curve characteristics, several important aspects related to curve geometry remain uninvestigated. To this end, research was undertaken to evaluate the safety effects associated with several specific horizontal curve-related geometric characteristics (including curve type, curve direction, tangent distance between curves, and curve design speed) on rural two-lane undivided highways, considering non-animal single-vehicle crashes. Eight years of crash data were obtained for 277 mi and 557 mi of curved state and county highway segments, respectively, within Michigan. Several mixed-effects negative binomial models, with county- and site-specific random intercepts, were developed separately for state and county highways. The model results indicated that several key geometric factors were associated with crash occurrence on rural two-lane highways, including curve type, curve direction, tangent distance approaching the curve, inner-curve tangent distance, and curve design speed. Each of the following geometric characteristics was associated with elevated single-vehicle crash occurrence: (1) compound and reverse curves (compared with simple curves); (2) left-turning curves (compared with right-turning); (3) curves with design speeds lower than the speed limit (compared with curves with higher design speeds); (4) longer tangent distances approaching a simple curve or the initial curve in a series; and (5) shorter inner-curve distances between successive compound or reverse curves. Compound or reverse curves should be avoided in favor of simple curves with an elongated inner-curve distance. Enhanced warning signage should be considered where such curve designs cannot be avoided.

Cyclic Higgs bundles and minimal surfaces in pseudo-hyperbolic spaces

We introduce a type of minimal surface in the pseudo-hyperbolic space Hn,n (with n even) or Hn+1,n−1 (with n odd) coming from cyclic SO0(n,n+1)-Higg bundles. By showing that these surfaces are saddle-type critical points for the area functional, and hence infinitesimally rigid, we get a new proof, for SO0(n,n+1), of Labourie's theorem that the holonomy map restricts to an immersion on the cyclic locus of Hitchin base, and extend it to Collier's components. This implies Labourie's former conjecture in the case of the exceptional group G2′, for which we also show that these minimal surfaces are J-holomorphic curves of a particular type in the almost complex H4,2.

Mining research on correlation factors of residential electricity stability based on improved FP-growth algorithm

PurposeOn the one hand, this paper is to further understand the residents' differentiated power consumption behaviors and tap the residential family characteristics labels from the perspective of electricity stability. On the other hand, this paper is to address the problem of lack of causal relationship in the existing research on the association analysis of residential electricity consumption behavior and basic information data.Design/methodology/approachFirst, the density-based spatial clustering of applications with noise method is used to extract the typical daily load curve of residents. Second, the degree of electricity consumption stability is described from three perspectives: daily minimum load rate, daily load rate and daily load fluctuation rate, and is evaluated comprehensively using the entropy weight method. Finally, residential customer labels are constructed from sociological characteristics, residential characteristics and energy use attitudes, and the enhanced FP-growth algorithm is employed to investigate any potential links between each factor and the stability of electricity consumption.FindingsCompared with the original FP-growth algorithm, the improved algorithm can realize the excavation of rules containing specific attribute labels, which improves the excavation efficiency. In terms of factors influencing electricity stability, characteristics such as a large number of family members, being well employed, having children in the household and newer dwelling labels may all lead to poorer electricity stability, but residents' attitudes toward energy use and dwelling type are not significantly associated with electricity stability.Originality/valueThis paper aims to uncover household socioeconomic traits that influence the stability of home electricity use and to shed light on the intricate connections between them. Firstly, in this article, from the perspective of electricity stability, the characteristics of the power consumption of residents' users are refined. And the authors use the entropy weight method to comprehensively evaluate the stability of electricity usage. Secondly, the labels of residential users' household characteristics are screened and organized. Finally, the improved FP-growth algorithm is used to mine the residential household characteristic labels that are strongly associated with electricity consumption stability.HighlightsThe stability of electricity consumption is important to the stable operation of the grid.An improved FP-growth algorithm is employed to explore the influencing factors.The improved algorithm enables the mining of rules containing specific attribute labels.Residents' attitudes toward energy use are largely unrelated to the stability of electricity use.