TOEPLITZ OPERATORS BETWEEN WEIGHTED BERGMAN SPACES OVER THE HALF-PLANE

In this paper,by characterizing Carleson measures,we investigate a class of bounded Toeplitz operator between weighted Bergman spaces with Békolléweights over the half-plane for all index choices.

Structural Characteristics and Evolution of a Weighted Sino-US Container Shipping Network

This study selected the Sino-US route data from the top 30 global container liner companies between December 1,2019,and December 29,2019,as the data source utilizing the complex network research methodology.It constructs a Sino-US container shipping network through voyage weighting and analyzes the essential structural characteristics to explore the network’s complex structural fea-tures.The network’s evolution is examined from three perspectives,namely,time,space,and event influence,aiming to comprehens-ively explore the network’s evolution mechanism.The results revealed that:1)the weighted Sino-US container shipping network exhib-its small-world and scale-free properties.Key hub ports in the United States include NEW YORK NY,SAVANNAH GA,LOS ANGELES CA,and OAKLAND CA,whereas SHANGHAI serving as the hub port in China.The geographical distribution of these hub ports is uneven.2)Concerning the evolution of the weighted Sino-US container shipping network,from a temporal perspective,the evolution of the regional structure of the entire Sino-US region and the Inland United States is in a stage of radiative expansion and de-velopment,with a need for further enhancement in competitiveness and development speed.The evolution of the regional structure of southern China and Europe is transitioning from the stage of radiative expansion and development to an advanced equilibrium stage.The shipping development in Northern China,the Western and Eastern United States,and Asia is undergoing significant changes but faces challenges of fierce competition and imbalances.From a spatial perspective,the rationality and effectiveness of the improved weighted Barrat-Barthelemy-Vespignani(BBV)model are confirmed through theoretical derivation.The applicability of the improved evolution model is verified by simulating the evolution of the weighted Sino-US container shipping network.From an event impact per-spective,the Corona Virus Disease 2019(COVID-19)pandemic has not fundamentally affected the spatial pattern of the weighted Sino-US container shipping network but has significantly impacted the network’s connectivity.The network lacks sufficient resilience and stability in emergency situations.3)Based on the analysis of the structural characteristics and evolution of the weighted Sino-US con-tainer shipping network,recommendations for network development are proposed from three aspects:emphasizing the development of hub ports,focusing on the balanced development of the network,and optimizing the layout of Chinese ports.

Spatial Downscaling of the Tropical Rainfall Measuring Mission Precipitation Using Geographically Weighted Regression Kriging over the Lancang River Basin, China

Satellite-based precipitation products have been widely used to estimate precipitation, especially over regions with sparse rain gauge networks. However, the low spatial resolution of these products has limited their application in localized regions and watersheds.This study investigated a spatial downscaling approach, Geographically Weighted Regression Kriging(GWRK), to downscale the Tropical Rainfall Measuring Mission(TRMM) 3 B43 Version 7 over the Lancang River Basin(LRB) for 2001–2015. Downscaling was performed based on the relationships between the TRMM precipitation and the Normalized Difference Vegetation Index(NDVI), the Land Surface Temperature(LST), and the Digital Elevation Model(DEM). Geographical ratio analysis(GRA) was used to calibrate the annual downscaled precipitation data, and the monthly fractions derived from the original TRMM data were used to disaggregate annual downscaled and calibrated precipitation to monthly precipitation at 1 km resolution. The final downscaled precipitation datasets were validated against station-based observed precipitation in 2001–2015. Results showed that: 1) The TRMM 3 B43 precipitation was highly accurate with slight overestimation at the basin scale(i.e., CC(correlation coefficient) = 0.91, Bias = 13.3%). Spatially, the accuracies of the upstream and downstream regions were higher than that of the midstream region. 2) The annual downscaled TRMM precipitation data at 1 km spatial resolution obtained by GWRK effectively captured the high spatial variability of precipitation over the LRB. 3) The annual downscaled TRMM precipitation with GRA calibration gave better accuracy compared with the original TRMM dataset. 4) The final downscaled and calibrated precipitation had significantly improved spatial resolution, and agreed well with data from the validated rain gauge stations, i.e., CC = 0.75, RMSE(root mean square error) = 182 mm, MAE(mean absolute error) = 142 mm, and Bias = 0.78%for annual precipitation and CC = 0.95, RMSE = 25 mm, MAE = 16 mm, and Bias = 0.67% for monthly precipitation.

The weighted quadratic index of biodiversity for pairs of species: a generalization of Rao’s index

The distribution of biodiversity at multiple sites of a region has been traditionally investigated through the additive partitioning of the regional biodiversity, called γ-diversity, into the average within-site biodiversity or α-diversity, and the biodiversity among sites, or β-diversity. The standard additive partitioning of diversity requires the use of a measure of diversity which is a concave function of the relative abundance of species, like the Shannon entropy or the Gini- Simpson index, for instance. When a phylogenetic distance between species is also taken into account, Rao’s quadratic index has been used as a measure of dissimilarity. Rao’s index, however, is not a concave function of the distribution of relative abundance of either individual species or pairs of species and, consequently, only some nonstandard additive partitionings of diversity have been given using this index. The objective of this paper is to show that the weighted quadratic index of biodiversity, a generalization of the weighted Gini-Simpson index to the pairs of species, is a concave function of the joint distribution of the relative abundance of pairs of species and, therefore, may be used in the standard additive partitioning of diversity instead of Rao’s index. The replication property of this new measure is also discussed.

ON THE m^(th) ORDER DIFFERENCE SEQUENCE SPACE OF GENERALIZED WEIGHTED MEAN AND COMPACT OPERATORS

In this article, using generalized weighted mean and difference matrix of order m, we introduce the paranormed sequence space l（u, v, p; △（m））, which consist of the sequences whose generalized weighted △（m）-difference means are in the linear space l（p） defined by I.J.Maddox. Also, we determine the basis of this space and compute its α-, β- and γ-duals. Further, we give the characterization of the classes of matrix mappings from l（u, v, p, △（m）） to l∞, c, and co. Finally, we apply the Hausdorff measure of noncompacness to characterize some classes of compact operators given by matrices on the space lp（U, v, △（m）） （1 ≤ p 〈 ∞）.

ON THE WEIGHTED OCCUPATION TIME AND SUPPORT OF SUPER-BROWNIAN MOTION CONDITIONED ON NON-EXTINCTION

This paper investigates the property of super-Brownian motion conditioned on non-extinction. The authors obtain a representation of Laplace functional for the weighted occupation time of this class of processes. By this, they get a result about the distribution of the support of it.

Morbidity Due to Obesity, Hypertension and Diabetes II Attributable to Non-Breastfeeding and Low Birth Weight during the 1000 Days of Life: Estimation of the Population Attributable Fraction

Introduction: There is evidence that malnutrition during the first 1000 days of life contributes to the development of chronic diseases in adulthood and therefore may produce a lasting impact on the health of the population. Colombia, like other middle-income countries suffers the double burden of malnutrition in pregnant women and children under 5 years. Also, chronic diseases have positioned within the leading causes of morbidity and mortality. Objective: The aim is to estimate the burden of disease of noncommunicable chronic diseases-NCD’s (hypertension, obesity, diabetes mellitus II) in adults attributable to nutritional risk factors (no-breastfeeding and low birthweight) in the period of 1000 days in Colombia. Methods: The population attributable fraction and the number of NCD’s (hypertension, diabetes mellitus II and obesity) cases due to the risk factors (low birthweight and no-breastfeeding) were estimated. Prevalences of NCD’s and risk factors of interest were taken from national health surveys. Effect measures (odds ratios/relative risks) of the associations 1—low birthweight and hypertension, diabetes mellitus II and 2—no-breastfeeding and obesity were obtained after a systematic literature search. Results: It was estimated that not receiving breastfeeding in the 1000 days could contribute up to 29.9% of all cases of obesity, equivalent to about 4,009,779 cases across the country. Low birth weight could contribute up to 2.1% of cases of hypertension in men and to 4.0% of cases in women, equivalent to 103.769 cases across the country. In addition, low birth weight could contribute to 6.3% of diabetes mellitus II cases, which is equivalent to 23.857 cases in the country. Conclusion: In Colombia, risk factors during the first 1000 days like not receiving breastfeeding and having low birth weight could contribute up to 4,113,549 cases of obesity, hypertension and diabetes mellitus II, with important implications for the health of the population and the Colombian health system.

Comparison of the ＂Global Levy Scheme＂ with the ＂Emissions Trading Scheme＂ to Reduce Greenhouse Gas Shipping Emissions

Climate change is widely recognized as the major environmental problem facing the globe today. One of the most urgent environmental problems facing shipping industry is the reduction of GHG （greenhouse gas） emissions from its operations. Given the growing concern of the international community on ＂the deep reduction of global GHG emissions＂, it cannot be expected that the non-regulation of maritime GHG emissions can further continue. This paper investigates the main challenges and threats of the development of two MBMs （market-based measures） for the reduction of GHG emissions from international shipping, i.e., the ＂global levy scheme on maritime GHG emissions＂ and the ＂maritime emission trading scheme＂. A SWOT （strengths weaknesses opportunities threat） analysis is used, in this survey, to evaluate the environmental effectiveness as well as the easiness of implementation of the two policy options. Moreover, we make apparent their strengths and weaknesses concerning abatement of maritime GHG emissions. Given the fact that the discussion regarding the implementation of some MBMs with maritime GHG-emission reduction potential is still carried out with the exception of EEDI （energy efficiency design index） and SEEMP （ship energy efficiency management plan）, this paper＇s results present special significance, as they could be further analyzed and taken into account during the adoption of any future MBM for the reduction of maritime GHG emissions.

A simplified approach to the basic principle of security measures onboard ships

There are many reasons whymerchant ships make desirable targetsfor pirates and terrorists as well as aconvenient means of transport for thestowaway. Criminal activity in the form ofsuch threats is quickly becoming one ofthe greatest threats to ships and

Measuring Musical Rhythm Similarity: Further Experiments with the Many-to-Many Minimum-Weight Matching Distance

Musical rhythms are represented as sequences of symbols. The sequences may be composed of binary symbols denoting either silent or monophonic sounded pulses, or ternary symbols denoting silent pulses and two types of sounded pulses made up of low-pitched (dum) and high-pitched (tak) sounds. Experiments are described that compare the effectiveness of the many-to-many minimum-weight matching between two sequences to serve as a measure of similarity that correlates well with human judgements of rhythm similarity. This measure is also compared to the often used edit distance and to the one-to-one minimum-weight matching. New results are reported from experiments performed with three widely different datasets of real- world and artificially generated musical rhythms (including Afro-Cuban rhythms), and compared with results previously reported with a dataset of Middle Eastern dum-tak rhythms.

Risk assessment model of tunnel water inrush based on improved attribute mathematical theory

Tunnel water inrush is one of the common geological disasters in the underground engineering construction.In order to effectively evaluate and control the occurrence of water inrush,the risk assessment model of tunnel water inrush was proposed based on improved attribute mathematical theory.The trigonometric functions were adopted to optimize the attribute mathematical theory,avoiding the influence of mutation points and linear variation zones in traditional linear measurement functions on the accuracy of the model.Based on comprehensive analysis of various factors,five parameters were selected as the evaluation indicators for the model,including tunnel head pressure,permeability coefficient of surrounding rock,crushing degree of surrounding rock,relative angle of joint plane and tunnel section size,under the principle of dimension rationality,independence,directness and quantification.The indicator classifications were determined.The links among measured data were analyzed in detail,and the objective weight of each indicator was determined by using similar weight method.Thereby the tunnel water inrush risk assessment model is established and applied in four target segments of two different tunnels in engineering.The evaluation results and the actual excavation data agree well,which indicates that the model is of high credibility and feasibility.

Weighted Composition Operators between Hardy Spaces on the Unit Ball

We consider the weighted composition operators between Hardy spaces on the unit ball, and obtain some sufficient and necessary conditions of bounded or compact weighted composition operators. We also prove that the operator from H^1 to H^1 is compact if and only if it is weakly compact. Meanwhile, we get the analogue on the Bergman spaces.

Z概率语言术语集环境下改进的PROMETHEE Ⅱ方法及其应用

针对属性权重未知的多属性决策问题,在Z概率语言术语集(ZPLTS)环境下,提出了一种改进的PROMETHEE Ⅱ (preference ranking organization method for enrichment evaluations Ⅱ)方法.在该方法中,各评价信息的综合可靠度由评价本身的可靠度和决策者给出的可靠度来确定,并由此进一步确定属性的权重;距离测度采用扩展的欧式距离,该方法在ZPLTS环境下能够克服不同Z概率语言值(ZPLVs)之间的距离均为0所带来的决策偏差.实例研究表明,该方法在反映原始数据信息和确定未知属性权重方面显著优于TOPSIS方法和传统的PROMETHEE Ⅱ方法,因此该方法可应用于多属性决策问题中.

Comparative study on the corrosion behavior of low alloy steels in sulfuric acid solution

The corrosion behavior of a weathering steel SPA-C and two acid resistance steels（ S-TEN1 and ND）in sulfuric acid solution was investigated by using potentiodynamic polarization and weight loss measurement techniques. Both potentiodynamic polarization and weight loss measurement tests indicated that corrosion resistance of these three alloy steels was as follows： ND ~ S-TEN1 〉 SPA-C. Surface analysis of the corroded samples conducted after the immersion test indicated that two layers were formed on the substrates, with the outer layer comprising FeSO4. H20 and the inner layer mainly comprising iron oxides. The addition of Cu, Cr, and Sb refined the corrosion products and improved the adhesion ability between the rust layer and the substrate.

Estimating the Parameters Geographically Weighted Regression (GWR) with Measurement Error

Geographically weighted regression models with the measurement error are a modeling method that combines the global regression models with the measurement error and the weighted regression model. The assumptions used in this model are a normally distributed error with that the expectation value is zero and the variance is constant. The purpose of this study is to estimate the parameters of the model and find the properties of these estimators. Estimation is done by using the Weighted Least Squares (WLS) which gives different weighting to each location. The variance of the measurement error is known. Estimators obtained are . The properties of the estimator are unbiased and have a minimum variance.

WEIGHTED ESTIMATES FOR COMMUTATORS OF MULTILINEAR CALDERóN-ZYGMUND OPERATORS WITH NON-DOUBLING MEASURES

Let μ be a nonnegative Radon measure on Rd, which only satisfies the polynomial growth condition. Under this assumption, the authors obtain some weighted weaktype estimates for the commutators generated by the multilinear CalderSn-Zygmund op- erators and RBMO（μ） functions.

一种基于连续区间直觉模糊Theil测度的多属性群决策方法

针对区间直觉模糊信息的不确定性,提出了一种基于连续区间直觉模糊Theil(C-IVIFT)测度的多属性群决策方法。首先基于连续区间直觉模糊有序加权平均(C-IVIFOWA)算子定义了连续区间直觉模糊Theil测度,并研究该测度的一些性质;其次,构建以C-IVIFT测度偏差最小化为目标的最优化模型用以确定专家权重和属性权重,进而得到不同方案的综合属性值,并利用相似性函数和精确函数对方案进行排序;最后,通过ERP软件择优实例说明提出的决策方法的合理性和有效性。

Proposing a novel comprehensive evaluation model for the coal burst liability in underground coal mines considering uncertainty factors

Coal burst is a severe hazard that can result in fatalities and damage of facilities in underground coal mines.To address this issue,a robust unascertained combination model is proposed to study the coal burst hazard based on an updated database.Four assessment indexes are used in the model,which are the dynamic failure duration(DT),elastic energy index(WET),impact energy index(KE)and uniaxial compressive strength(RC).Four membership functions,including linear(L),parabolic(P),S and Weibull(W)functions,are proposed to measure the uncertainty level of individual index.The corresponding weights are determined through information entropy(EN),analysis hierarchy process(AHP)and synthetic weights(CW).Simultaneously,the classification criteria,including unascertained cluster(UC)and credible identification principle(CIP),are analyzed.The combination algorithm,consisting of P function,CW and CIP(P-CW-CIP),is selected as the optimal classification model in function of theory analysis and to train the samples.Ultimately,the established ensemble model is further validated through test samples with 100%accuracy.The results reveal that the hybrid model has a great potential in the coal burst hazard evaluation in underground coal mines.

Fault Tree Analysis of Fire and Explosion Accidents for Dual Fuel （Diesel/Natural Gas） Ship Engine Rooms

In recent years, China's increased interest in environmental protection has led to a promotion of energy-efficient dual fuel(diesel/natural gas) ships in Chinese inland rivers. A natural gas as ship fuel may pose dangers of fire and explosion if a gas leak occurs. If explosions or fires occur in the engine rooms of a ship, heavy damage and losses will be incurred. In this paper, a fault tree model is presented that considers both fires and explosions in a dual fuel ship; in this model, dual fuel engine rooms are the top events. All the basic events along with the minimum cut sets are obtained through the analysis.The primary factors that affect accidents involving fires and explosions are determined by calculating the degree of structure importance of the basic events.According to these results, corresponding measures are proposed to ensure and improve the safety and reliability of Chinese inland dual fuel ships.

A correlation analysis of BroselowTM Pediatric Emergency Tape-determined pediatric weight with actual pediatric weight in India

BACKGROUND:The Broselow?Pediatric Emergency Tape indicates standardized,precalculated medication doses,dose delivery volumes,and equipment sizes using color-coded zones based on height-weight correlations.The present study attempted to provide more evidence on the effectiveness of the Broselow?Pediatric Emergency Tape by comparing the tape-estimated weights with actual weights.We hypothesized that the Broselow?Pediatric Emergency Tape would overestimate weights in Indian children aged<10 years,leading to inaccurate dosing and equipment sizing in the emergency setting.METHODS:This prospective study of pediatric patients aged<10 years who were divided into three groups based on actual body weight:<10 kg,10–18 kg,and>18 kg.We calculated the percentage difference between the Broselow-predicted weight and the measured weight as a measure of tape bias.Concordant results were those with a mean percent difference within 3%.Standard deviation was measured to determine precision.Accuracy was determined as color-coded zone prediction and measured weight concordance,including the percentage overestimation by 1–2 zones.RESULTS:The male-to-female ratio of the patients was 1.3:1.Total agreement between colorcoding was 63.18%(κ=0.582).The Broselow?color-coded zone agreement was 74.8%in the<10kg group,61.24%in the 10–18 kg group,and 53.42%in the>18 kg group.CONCLUSIONS:The Broselow?Pediatric Emergency Tape showed good evidence for being more reliable in children of the<10 kg and 10–18 kg groups.However,as pediatric weight increased,predictive reliability decreased.This raises concerns over the use of the Broselow?Pediatric Emergency Tape in Indian children because body weight was overestimated in those weighing>18 kg.