Complex Analysis

  • 文章类型: Journal Article
    复种正在成为农业中越来越流行的技术,以解决诸如生物多样性和土壤肥力丧失等重大和复杂的农业生态系统问题。侵蚀和退化,温室气体排放增加,等。全面评估多种种植强度对农业生态系统的影响是一种新的仍在研究中的方法,可以更好地了解各个指标对生物多样性农业生态系统整体功能的影响。使用2020年至2022年在VytautasMagnus大学实验站进行的多次种植固定田间试验的数据进行了这项研究。这项研究包括玉米,大麻,和蚕豆一样单身,二进制,三元作物。使用复杂的评估方法(CEI值)来确定这些作物对农业生态系统的影响,主要指标之间的相互关系,以及它们效果的强度。发现三元玉米-大麻-蚕豆作物对农业生态系统的影响最大。其他作物的有效性降低了2%至35%。计算出玉米-蚕豆作物的最低值。
    Multi-cropping is becoming an increasingly popular technique in agriculture to tackle major and complex agroecosystem problems such as biodiversity and soil fertility loss, erosion and degradation, increased greenhouse gas emissions, etc. Comprehensively assessing the impact of multi-cropping intensity on agroecosystems is a new and still under-researched approach that can provide a better understanding of the impact of individual indicators on the overall functioning of biodiverse agroecosystems. Data from a stationary field experiment using multi-cropping at the Vytautas Magnus University Experimental Station between 2020 and 2022 were used to carry out this study. The study included maize, hemp, and faba bean as single, binary, and ternary crops. A complex assessment approach (CEI value) was used to determine the impact of these crops on the agroecosystem, the interrelationships between the main indicators, and the strength of their effects. It was found that the ternary maize-hemp-faba bean crop had the most positive effect on the agroecosystem. The effectiveness of other crops was 2 to 35% less. The lowest value was calculated for the maize-faba bean crop.
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  • 文章类型: Journal Article
    众所周知,天气会影响人类健康,包括疼痛感觉.然而,目前的数据是有争议的,这可能是由于广泛的个体差异。本研究旨在通过利用几种数据分析方法来表征慢性疼痛期间的个体疼痛和天气关联。


    该研究包括3-3名患有(P1,P3和P4)或不患有(P2,P5,P6)糖尿病和三叉神经痛或腰背痛体征的患者。主观疼痛评分(0–10)和12个天气参数(地面,地磁,和太阳能)记录一个月,每天重复三次。非参数Spearman’的相关性(Sp),多元回归(Mx),进行了主要成分(PCA)分析,以评估记录疼痛值当天获得的疼痛与气象因素之间的关联。记录疼痛之前和之后2天,以及这些参数的变化(5次12个参数)。根据这些分析的结果计算复杂分数。


    虽然温度对大多数参与者的疼痛程度影响最大,可以在疼痛和天气参数之间的关联程度和方向上获得巨大的个体间差异。分析方法还揭示了特定主题的结果,综合不同的统计方法作为总分为每位患者提供了个性化的地图,这显示了整个研究参与者的不同模式。因此,参与者2和5的Mx得分高于Sp;此外,根据分析类型(Spvs.Mx),某些因素与疼痛水平的关联方向相反。相比之下,P3的Mx得分低于Sp,这可能表明该主题中不同天气参数之间的关联天气敏感度较低。此外,参与者P4和P6的天气敏感度非常高,而P1有相反的模式。关于时间点对疼痛程度的影响,大多数患者对同一天或两天前获得的参数敏感,除了P1主题,谁对两天后检测到的天气参数敏感度最高。


    本研究强调了整合不同数据分析方法以阐明疼痛与大部分天气参数之间的个体联系的重要性。总之,通过应用不同的数据分析方法,应考虑复杂的个性化分析来表征疼痛天气关联,可以向医生和患者提供反馈。


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    Atanulmánybanhatkrónikusfájdalomszindrómásbetegvettrészt(三叉神经神经痛,illetvederékfájdalomtüneteivel)。Hárompáciensbenatünetekdiabetesesneuropathiáhozkapcsolódtak(P1,P3,P4),>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>aszubjektívfájdalomskálát(0–10)és-paramétertregisztráltunkegyhónaponkeresztülSpearmankorrelációs(Sp),többszörösregressziós(Mx)ésf几百komponens(PCA)elemzéseketvégezt&uuuml;nkö2nappalaméréselsetttésután,illetveaváltozásokmértékét(5×12paraméter)。Azanalízisekkelkapottadatokbólegykomplexértéketszámoltunk,é;sanalizá;ltuk。


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    UNASSIGNED:

    It is a wellknown belief that weather can influence human health, including pain sensation. However, the current data are controversial, which might be due to the wide range of interindividual differences. The present study aimed to characterize the individual pain–weather associations during chronic pain by utilizing several data analytical methods.

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    UNASSIGNED:

    The study included 3-3 patients with (P1, P3, and P4) or without (P2, P5, P6) diabetes mellitus and signs of trigeminal neuralgia or low back pain. Subjective pain scores (0–10) and 12 weather parameters (terrestrial, geomagnetic, and solar) were recorded for one month repeated three times daily. Nonparametric Spearman’s correlation (Sp), multiple regression (Mx), and principal component (PCA) analyses were performed to evaluate associations between pain and meteorological factors obtained at the day of recorded pain value, 2 days before and 2 days after the recorded pain, and the changes in these parameters (5 × 12 parameters). Complex scores were calculated based on the results of these analyses.

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    UNASSIGNED:

    While the temperature had the highest effects on the pain levels in most of the participants, huge interindividual dif­ferences in the degree and the direction of the associations between pain and weather parameters could be obtained. The analytic methods also revealed subjectspecific results, and the synthesis of different statistical methods as total scores provided a personalized map for each patient, which showed disparate patterns across the study participants. Thus, Participants 2 and 5 had higher scores for Mx compared to Sp; furthermore, certain factors showed opposite direction in their associations with the pain level depending on the type of analysis (Sp vs Mx). In contrast, P3 had a lower score for Mx compared to Sp, which might suggest a low level of weather sensitivity on the association between the different weather parameters in this subject. Furthermore, participants P4 and P6 had a very high level of weather sensitivity, while P1 had an opposite pattern. Regarding the time point-related effects on the pain level, most patients were sensitive to parameters obtained at the same day or two days before, except the P1 subject, who had the highest sensitivity to weather parameters detected two days after.

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    UNASSIGNED:

    The present study highlights the importance of integrating different data analysis approaches to elucidate the individual connections between pain and most of the weather parameters. In conclusion, complex personalized profiling should be considered for the characterization of pain–weather associations by applying different data analytical approaches, which may provide feedback to physicians and patients. 

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    UNASSIGNED:

    A betegek beszámolója alapján jól ismert a fájdalom és az időjárás lehetséges összefüggése. Az eredmények azonban ellentmondóak, ami feltehetően az egyének közötti nagy érzékenységbeli különbségeknek köszönhető. Jelen tanulmány célja, hogy egyénre szabott módon jellemezze a fájdalom és az időjárás lehetséges kapcsolatait többféle statisztikai elemzés alkalmazásának kombinálásával.

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    UNASSIGNED:

    A tanulmányban hat krónikus fájdalom szindrómás beteg vett részt (trigeminus neuralgia, illetve derékfájdalom tüneteivel). Három páciensben a tünetek diabeteses neuropathiához kapcsolódtak (P1, P3, P4), míg három betegben ugyanezek a szindrómák voltak megfigyelhetők cukorbetegség nélkül (P2, P5, P6). A szubjektív fájdalomskálát (0–10) és 12 időjárás-paramétert regisztráltunk egy hónapon keresztül napi három alkalommal. Spearman korrelációs (Sp), többszörös regressziós (Mx) és fő komponens (PCA) elemzéseket végeztünk összehasonlítva a fájdalom- és időjárás-paramétereket az adott napon, 2 nappal a mérés előtt és után, illetve a változások mértékét (5 × 12 paraméter). Az analízisekkel kapott adatokból egy komplex értéket számoltunk, és analizáltuk.

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    UNASSIGNED:

    Bár a hőmérséklet fejtette ki a legnagyobb hatást a fájdalomérzetre, az egyéni különbség igen nagy volt. A fájdalom-időjárás összefüggés nemcsak az időjárás-paraméterektől, hanem az elemzés fajtájától is függött, így egyénenként különböző mintázatot adtak mind az egyes analízisek, mind a komplex értékek. A P2 és P5 beteg nagyobb pontszámot ért el az Mx-, mint az Sp-elem­zéssel, sőt az összefüggés iránya is sok eset­ben ellentétes volt a két elemzésben. A P3 egyénben az Sp-elemzéssel kaptunk magasabb értéket, ami felveti, hogy az egyes időjárás-paraméterek egymásra kevésbé gyakoroltak hatást. A P4 és P6 beteg nagyon érzékeny volt az időjárás-paraméterekre, míg a P1-es egyén ellenkező mintázatot mutatott. A vizsgált időpontok tekintetében azt tapasztaltuk, hogy a legtöbb beteg az aznapi és az azt két nappal megelőző időjárás-paraméterekre volt a legérzékenyebb, kivéve a P1-es egyént, akinek a fájdalomszintje a két nappal későbbi időjárás-paraméterekkel mutatott legnagyobb összefüggést. 

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    UNASSIGNED:

    A jelen tanulmány eredményei felhívják a figyelmet arra, hogy számos környezeti paraméter adatainak integrált elemzése megvilágíthatja a fájdalom és az időjárás összefüggését egyéni szinten. Ezen adatok összetett, egyénre szabott elemzése segíthet a hatékonyabb fájdalomterápia megtervezésében.

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  • 文章类型: Journal Article
    衰老是导致椎间盘(IVD)退变的主要病因之一。腰痛的主要原因。髓核(NP)包括异质细胞群,它的特征仍然很差。这里,我们旨在揭示NP细胞随着衰老的主要变化。为此,解剖来自年轻(12个月)和大(10-16岁)动物的牛尾骨盘,并分离原代NP细胞。进行新鲜NP细胞的基因表达和蛋白质组学。用碘化丙啶标记NP细胞,并通过流式细胞术分析CD29、CD44、CD45、CD146、GD2、Tie2、CD34和Stro-1的表达。还通过成像流式细胞术解剖形态细胞特征。老年NP细胞(上调bIL-6和bMMP1基因表达)呈现较低的CD29+百分比,CD44+,CD45+和Tie2+细胞与年轻NP细胞(上调bIL-8、bCOL2A1和bACAN基因表达)相比,而GD2、CD146、Stro-1和CD34的表达随年龄增长而维持。NP细胞组显示与内质网(ER)和黑素相关的蛋白质的上调,与年龄无关。而在老年NP细胞中上调的蛋白质也与糖基化和二硫键有关。NP细胞的流式细胞术分析揭示了4个亚群的存在,这些亚群具有不同的自发荧光和大小,随着年龄的增长具有不同的动力学。关于细胞形态学,老化增加NP细胞面积,直径和囊泡。这些结果有助于更好地理解NP细胞衰老,并突出潜在的抗衰老靶标,这些靶标可以帮助减轻与年龄相关的椎间盘疾病。
    Aging is one of the major etiological factors driving intervertebral disc (IVD) degeneration, the main cause of low back pain. The nucleus pulposus (NP) includes a heterogeneous cell population, which is still poorly characterized. Here, we aimed to uncover main alterations in NP cells with aging. For that, bovine coccygeal discs from young (12 months) and old (10-16 years old) animals were dissected and primary NP cells were isolated. Gene expression and proteomics of fresh NP cells were performed. NP cells were labelled with propidium iodide and analysed by flow cytometry for the expression of CD29, CD44, CD45, CD146, GD2, Tie2, CD34 and Stro-1. Morphological cell features were also dissected by imaging flow cytometry. Elder NP cells (up-regulated bIL-6 and bMMP1 gene expression) presented lower percentages of CD29+, CD44+, CD45+ and Tie2+ cells compared with young NP cells (upregulated bIL-8, bCOL2A1 and bACAN gene expression), while GD2, CD146, Stro-1 and CD34 expression were maintained with age. NP cellulome showed an upregulation of proteins related to endoplasmic reticulum (ER) and melanosome independently of age, whereas proteins upregulated in elder NP cells were also associated with glycosylation and disulfide bonds. Flow cytometry analysis of NP cells disclosed the existence of 4 subpopulations with distinct auto-fluorescence and size with different dynamics along aging. Regarding cell morphology, aging increases NP cell area, diameter and vesicles. These results contribute to a better understanding of NP cells aging and highlighting potential anti-aging targets that can help to mitigate age-related disc disease.
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  • 文章类型: Journal Article
    工业废水,生活污水,和雨水是微塑料(MP)在污水处理厂的三个入口点。极端天气条件,例如气候变化引起的气温上升和暴雨,可以改变MP进入废水处理厂的速率。在这项研究中,在为期12个月的采样活动(季节性)中收集了来自不同处理阶段的废水和污泥样品,以确定市政污水处理厂去除微塑料颗粒的效率。从20到1000微米的MP被检测到并按形状分类,颜色,尺寸,和化学成分。所有样品都含有MP颗粒,进水浓度范围为1964±50-2982±54MP/L,出水浓度为744±13-1244±21MP/L,污泥浓度为91.1±8-61.9±5MP/g;71.6-90.1%的鉴定颗粒为黑色碎片型,白色,透明的颜色。大部分微塑料颗粒在活性污泥池中被去除,而污水处理厂的平均去除率为57%。春季MP的总浓度比其他季节高27%。最常见的微塑料颗粒是聚对苯二甲酸乙二醇酯(PET),聚苯乙烯(PS),和聚丙烯(PP)。这些结果证明了长期监测和MP定量的价值,这将提供对污水处理厂MP污染的更准确估计。
    Industrial wastewater, domestic wastewater, and stormwater are the three entry points for microplastics (MP) in wastewater treatment plants. Extreme weather conditions, such as rising temperatures and heavy rainfall caused by climate change, can alter the rate at which MP enters wastewater treatment plants. In this study, wastewater and sludge samples from different treatment stages were collected during a 12-month sampling campaign (seasonal) to determine the efficiency of a municipal wastewater treatment plant in removing microplastic particles. MP ranging from 20 to 1000 µm were detected and classified by shape, color, size, and chemical composition. All samples contained MP particles, with concentration ranging from 1964 ± 50-2982 ± 54 MP/L in influent to 744 ± 13-1244 ± 21 MP/L in effluent and 91.1 ± 8-61.9 ± 5 MP/g in sludge; 71.6-90.1% identified particles were fragment-type with black, white, and transparent colors. Most of the microplastic particles were removed in the activated sludge tank, while the average removal rate in the wastewater treatment plant was 57%. The total concentration of MP was 27% higher in spring than in other seasons. The most common microplastic particles were polyethylene terephthalate (PET), polystyrene (PS), and polypropylene (PP). These results demonstrate the value of long-term monitoring and MP quantification, which would provide a more accurate estimate of MP pollution from wastewater treatment plants.
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  • 文章类型: Journal Article
    本文提出了一种新的方法,称为基于TOpic建模的情绪指数评估(TOBIAS)。该方法旨在对主题的效果进行建模,情绪,以及描述其整体评级的现象的评论的情绪。TOBIAS是结合不同的技术和方法构建的。首先,情绪分析识别情绪,情感,和情绪,和主题建模在注释中找到主要相关主题。然后,偏最小二乘路径建模估计它们如何影响总结分析现象的性能的总体评级。我们对卡利亚里大学(意大利)学生评估的大学课程质量进行了真实案例研究。我们发现TOBIAS能够通过学生表达的情感提供有关讨论主题影响的可解释结果,情感,和情绪和整体评级。
    This paper proposes a new methodology called TOpic modeling Based Index Assessment through Sentiment (TOBIAS). This method aims at modeling the effects of the topics, moods, and sentiments of the comments describing a phenomenon upon its overall rating. TOBIAS is built combining different techniques and methodologies. Firstly, Sentiment Analysis identifies sentiments, emotions, and moods, and Topic Modeling finds the main relevant topics inside comments. Then, Partial Least Square Path Modeling estimates how they affect an overall rating that summarizes the performance of the analyzed phenomenon. We carried out TOBIAS on a real case study on the university courses\' quality evaluated by the University of Cagliari (Italy) students. We found TOBIAS able to provide interpretable results on the impact of discussed topics by students with their expressed sentiments, emotions, and moods and with the overall rating.
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  • 文章类型: Journal Article
    纺锤形细胞在二维几何形状中的排列会引起称为拓扑缺陷的奇异点,无法定义单元格的对齐角度。为了控制与细胞凋亡等生物学作用相关的缺陷,预测缺陷位置的计算方法是必需的。本研究提出了一种显式计算方法,用于预测非圆形几何形状中的细胞对齐和缺陷位置。首先,引入了一个复杂的电势来描述细胞的排列角度,用于推导单元盘中单元对齐的显式公式。然后,使用数值共形映射将单位圆盘的推导公式扩展到非圆形几何形状的情况。最后,复势可以计算弗兰克弹性能,可以相对于缺陷位置最小化,以预测它们在几何形状中的平衡状态。所提出的计算方法用于演示圆形和非圆形几何形状中多个缺陷的数值预测,这与以前的实验结果是一致的。
    The alignment of spindle-shaped cells in two-dimensional geometries induces singular points called topological defects, at which the alignment angle of the cell cannot be defined. To control defects related to biological roles such as cell apoptosis, calculation methods for predicting the defect positions are required. This study proposes an explicit calculation method for predicting cell alignment and defect positions in non-circular geometries. First, a complex potential is introduced to describe the alignment angles of cells, which is used to derive an explicit formula for cell alignment in a unit disc. Then, the derived formula for the unit disc is extended to the case for non-circular geometries using a numerical conformal mapping. Finally, the complex potential allows a calculation of the Frank elastic energy, which can be minimized with respect to the defect positions to predict their equilibrium state in the geometry. The proposed calculation method is used to demonstrate a numerical prediction of multiple defects in circular and non-circular geometries, which are consistent with previous experimental results.
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  • 文章类型: Journal Article
    考虑在随机随机几何上定义的线性椭圆PDE,它是N个随机变量的函数。在许多应用中,量化传播到兴趣量(QoI)的不确定性是一个重要的问题。随机域被分成大的和小的变化贡献。通过应用稀疏网格随机搭配方法来近似大的变化。用随机搭配扰动方法近似小变化,并将其作为校正项添加到大变化稀疏网格分量中。得出QoI方差的收敛率,并将其与数值实验中获得的收敛率进行比较。我们的方法显着降低了随机问题的维数,使其适用于大维问题。校正项的计算成本相对于小变化的维数最多二次增加。此外,对于小变化和大变化是独立的情况,成本线性增加。
    Consider a linear elliptic PDE defined over a stochastic stochastic geometry a function of N random variables. In many application, quantify the uncertainty propagated to a Quantity of Interest (QoI) is an important problem. The random domain is split into large and small variations contributions. The large variations are approximated by applying a sparse grid stochastic collocation method. The small variations are approximated with a stochastic collocation-perturbation method and added as a correction term to the large variation sparse grid component. Convergence rates for the variance of the QoI are derived and compared to those obtained in numerical experiments. Our approach significantly reduces the dimensionality of the stochastic problem making it suitable for large dimensional problems. The computational cost of the correction term increases at most quadratically with respect to the number of dimensions of the small variations. Moreover, for the case that the small and large variations are independent the cost increases linearly.
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  • 文章类型: Journal Article
    在本文中,我们分析了具有随机域变形的线性抛物线偏微分方程。特别是,我们专注于数值逼近给定兴趣量(QoI)的统计矩的问题。假定几何形状是随机的。抛物线问题被重新映射到具有随机系数的固定确定性域,并显示允许在嵌入复杂超平面的定义明确的区域上进行扩展。QoI的随机矩是通过采用搭配方法结合各向同性Smolyak稀疏网格来计算的。推导了理论上的子指数收敛率,它是搭配插值节数的函数。进行了数值实验,并证实了理论误差估计。
    In this article we analyze the linear parabolic partial differential equation with a stochastic domain deformation. In particular, we concentrate on the problem of numerically approximating the statistical moments of a given Quantity of Interest (QoI). The geometry is assumed to be random. The parabolic problem is remapped to a fixed deterministic domain with random coefficients and shown to admit an extension on a well defined region embedded in the complex hyperplane. The stochastic moments of the QoI are computed by employing a collocation method in conjunction with an isotropic Smolyak sparse grid. Theoretical sub-exponential convergence rates as a function to the number of collocation interpolation knots are derived. Numerical experiments are performed and they confirm the theoretical error estimates.
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  • 文章类型: Journal Article
    Peer review is the way in which we, as scientists, criticise, check, and confirm the findings of our colleagues. The process of peer review relies on individuals in all fields applying their particular expertise and determining if they agree with the findings submitted for publication. In recent years, there has been a significant rise in the number of manuscripts submitted for publication that draw from a range of disparate and complementary fields. This has created the curious situation where an expert may be requested to review a manuscript that is only partially within their immediate field of expertise. The issue that arises is that, without full knowledge of the data, techniques, methodologies, and principles that are presented, it is difficult for reviewers to make properly informed decisions, especially when it can take an entire career to reach that specific level of expertise in a single field. From this perspective, we explore these issues and also provide a commentary on how peer review could evolve in the context of a changing cross-disciplinarily-focused scientific landscape.
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  • 文章类型: Journal Article
    In this paper we introduce concepts from uncertainty quantification (UQ) and numerical analysis for the efficient evaluation of stochastic high dimensional Newton iterates. In particular, we develop complex analytic regularity theory of the solution with respect to the random variables. This justifies the application of sparse grids for the computation of statistical measures. Convergence rates are derived and are shown to be subexponential or algebraic with respect to the number of realizations of random perturbations. Due the accuracy of the method, sparse grids are well suited for computing low probability events with high confidence. We apply our method to the power flow problem. Numerical experiments on the non-trivial 39 bus New England power system model with large stochastic loads are consistent with the theoretical convergence rates. Moreover, compared to the Monte Carlo method our approach is at least 1011 times faster for the same accuracy.
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