SHARP MORREY REGULARITY THEORY FOR A FOURTH ORDER GEOMETRICAL EQUATION

This paper is a continuation of recent work by Guo-Xiang-Zheng[10].We deduce the sharp Morrey regularity theory for weak solutions to the fourth order nonhomogeneous Lamm-Rivière equation △^{2}u=△(V▽u)+div(w▽u)+(▽ω+F)·▽u+f in B^(4),under the smallest regularity assumptions of V,ω,ω,F,where f belongs to some Morrey spaces.This work was motivated by many geometrical problems such as the flow of biharmonic mappings.Our results deepens the Lp type regularity theory of[10],and generalizes the work of Du,Kang and Wang[4]on a second order problem to our fourth order problems.

A Formulation of the Porous Medium Equation with Time-Dependent Porosity: A Priori Estimates and Regularity Results

We consider a generalized form of the porous medium equation where the porosity ϕis a function of time t: ϕ=ϕ(x,t): ∂(ϕS)∂t−∇⋅(k(S)∇S)=Q(S).In many works, the porosity ϕis either assumed to be independent of (or to depend very little of) the time variable t. In this work, we want to study the case where it does depend on t(and xas well). For this purpose, we make a change of unknown function V=ϕSin order to obtain a saturation-like (advection-diffusion) equation. A priori estimates and regularity results are established for the new equation based in part on what is known from the saturation equation, when ϕis independent of the time t. These results are then extended to the full saturation equation with time-dependent porosity ϕ=ϕ(x,t). In this analysis, we make explicitly the dependence of the various constants in the estimates on the porosity ϕby the introduced transport vector w, through the change of unknown function. Also we do not assume zero-flux boundary, but we carry the analysis for the case Q≡0.

Occurrence Regularity and Comprehensive Prevention and Control Techniques of Sunflower Downy Mildew

This paper examines the occurrence regularity and comprehensive prevention and control techniques for sunflower downy mildew.It provides a detailed discussion of the pathogens,symptoms,and associated risks,as well as the transmission pathways,underlying causes,and prevention and control techniques related to sunflower downy mildew.The aim is to offer valuable references and technical guidance for the effective management of this disease.

Investigation on Damage Regularity of Mikania micrantha

[Objectives]The paper was to understand the occurrence and damage regularity of the invasive plant Mikania micrantha in Huadu District of Guangzhou.[Methods]The damage status of M.micranthFa in different forest lands and its annual growth dynamics were investigated by field investigation.[Results]With the change of canopy density from low to high,the occurrence degree of M.micrantha changed from high to low.The occurrence degree of M.micrantha in different forest land types was:abandoned orchard>wasteland>roadside greenbelt>waterside>forest edge>normally managed orchard.[Conclusions]M.micrantha enters the rapid growth period from March to May in spring,with the growth rate gradually slowing down after June.The result provides a theoretical basis and practical guidance for the prevention and control of M.micrantha.

The Regularity of Solutions to Mixed Boundary Value Problems of Second-Order Elliptic Equations with Small Angles

This paper considers the regularity of solutions to mixed boundary value problems in small-angle regions for elliptic equations. By constructing a specific barrier function, we proved that under the assumption of sufficient regularity of boundary conditions and coefficients, as long as the angle is sufficiently small, the regularity of the solution to the mixed boundary value problem of the second-order elliptic equation can reach any order.

Hyperbolic Conservation Laws,Integral Balance Laws and Regularity of Fluxes

Hyperbolic conservation laws arise in the context of continuum physics,and are mathematically presented in differential form and understood in the distributional(weak)sense.The formal application of the Gauss-Green theorem results in integral balance laws,in which the concept of flux plays a central role.This paper addresses the spacetime viewpoint of the flux regularity,providing a rigorous treatment of integral balance laws.The established Lipschitz regularity of fluxes(over time intervals)leads to a consistent flux approximation.Thus,fully discrete finite volume schemes of high order may be consistently justified with reference to the spacetime integral balance laws.

中国银矿成矿规律与百年勘查成果及新一轮找矿突破行动建议--《中国矿产地质志·银矿卷》研编

银是人类最早开发利用的元素之一,随着社会的发展和科技的进步,银的新材料属性日益突出。中国是银矿资源相对丰富的国家之一,自1990年以来,尤其是自2010年以来,中国银矿找矿勘查取得较大突破,新增银资源储量超过55000 t,新发现银矿产地超过53处,探获了包括双尖子山超大型银矿在内的大量银矿。中国银矿有7个主要矿床类型,以热液型和陆相火山-次火山型最为重要,资源储量分别为161271 t和48870 t,分别占总量的49.5%和15%。中国银矿主要产于中生代,查明银资源储量为266476 t,占比达74.25%;空间上呈“东多西少”的分布格局。大兴安岭成矿带及其邻区查明银资源储量超过86000 t,是中国最重要的银矿产区和找矿潜力区。运用成矿系列理论,寻找新矿区或新类型银矿、老银矿区外围和深部以及在成银带内找银矿等是中国银矿找矿勘查的重要方向。

中国金矿成矿规律与百年勘查成果及新一轮找矿突破行动建议--《中国矿产地质志·金矿卷》研编

中国金矿成矿地质条件优越,成矿期次、分布和矿床类型极其复杂。中国金矿矿床类型包括2个一级类型,6个二级类型和13个三级类型;时间分布上,包括以燕山期为主的7个主要成矿期,并记录了复杂的多期复合叠加成矿作用;在空间上,金矿在不同构造单元具有显著的空间差异,以与岩浆作用有关的金矿分布最为广泛,花岗-绿岩型金矿主要分布于太古宙克拉通-元古宙变质岩分布区(华北克拉通、滨太平洋域),产于沉积建造中的金矿床局限于黔桂滇交界、粤中地区、川西地区和秦岭地区。近年来,随着采选冶技术的进步、市场价格的变化和深部找矿的新发现,中国金矿勘查取得了一些突破性进展,一方面是一些低于1 g/t的低品位金矿也能得以开发,另一方面是1000 m深度以下的金矿也能被陆续探明,再一方面是斑岩型、矽卡岩型、浅成低温热液型铜多金属矿床中金的规模越来越大并得以开发利用,形成了多个千吨级金资源基地。这些新进展新趋势,也指明了新一轮找矿行动的方向,既要继续寻找大型-超大型金矿床,加强矿集区勘查与产业基地建设,也要加强共伴生矿床中低品位金的综合回收和尾矿的综合利用。其中,最为关键的是要突破现有思维格架,重点聚焦非传统矿床类型、成矿期次、找矿空间。

Occurrence Regularity and Control Research of Apple Early Defoliation Disease in West Sichuan Plateau

[ Objective ] The research aimed to discuss the occurrence regularity of apple early defoliation disease and control effects of fungicides in west Sichuan plateau. [ Method ] Apple early defoliation disease in west Sichuan plateau was systematically investigated during 2009 and 2011, and the control effects of different fungicides during different spraying periods were studied. [ Result] The species of pathogen mainly was Marssonina ma/i （ P. Henn）, accounting for 32.5%, Phyl-losticta Pirina Sa accounted for 29.9%, and Alternaria mali Roberts accounted for 25.7%. The field fluctuation regularity was as follows ： the disease generally be- gan in the mid-May and ended in early and middle October with only one damage peak during the whole year, the fluctuation had positive correlation with rainfall （ R2 =0.891 8 ＊ ＊ ）. Control test showed that 40% flusilazole had the best control effect （86.5%）, which was best to apply after anthesis. [ Conclusion ] The paper provided theoretical basis for the effective control against apple early defoliation disease.

Detection of an increase in EMG regularity during fatiguing contractions

The changes in the evolvement patterns of surface electromyography（EMG）signals during both static and dynamic fatiguing contractions are studied.The main finding is that the EMG signal tends to be more and more regular as muscle fatigues.An increase in the summation of all the regular evolvement patterns denoted by Dreg reflects such a tendency.Compared with traditional measurements,Dreg shows less variability among subjects when characterizing a fatigue process.In addition,the calculation of Dreg in the time domain is free from the restrictions disturbing those of spectral parameters.The detection of an increase in the EMG regularity not only proposes a new and easy way to inspect changes in EMG during the fatigue process,but also provides strong supports to estimate muscle fatigue by means of nonlinear analysis methods such as entropy and complexity measures.The detection method of signal regularity can also be applied to other physiological signals.

Factors affecting headway regularity on bus routes

The common phenomenon of uneven headway in bus service is explored based on the automatic vehicle location （AVL） data of Route 2 in Yichun City of Jiangxi province from 6：00 to 9：00 in the morning. The headway regularity of two stages 6： 00--7：00 and 7： 00--9：00 is comparatively analyzed, and it is found that both the traffic conditions and the passenger demand affect headway regularity. A bus arrival model, which assumes that the dwell time of a bus is linear in headway, is built to probe the effect of scheduled headway, and the model is simulated by Matlab. The simulation results reveal that the departure intervals and fluctuations affect headway regularity. Longer intervals and less fluctuation mean higher regularity of headway. And, the fluctuation has a more obvious influence on headway regularity than the interval. Controlling the fluctuations of scheduled headway can effectively raise the regularity of headway and improve the level of public transport service.

Study on the Occurrence and Epidemic Regularity and Region Division of Rice Blast in Nanchong City

With the aim to improve the level of monitoring and warning as well as the comprehensive control of rice blast disease, and to feasibly reduce the disease threat in Nanchong City, the methods of GPS and GIS, systematical monitoring and field survey, rice blast resistance identification, physiologic races of rice blast monitoring, and meteorological data analysis were performed to study the occurrence and epidemic region division, precise demarcation and occurrence and epidemic regularity of rice blast in Nanchong City. This study first completed the epidemic region division and precise demarcation; first clarified the initial affection（beginning period） locations, occurrence characteristics, epidemic trends and characteristics; explicated the existence of four epidemic peak periods of rice blast in the field, where the damage areas of first peak period played a decisive role during the blast epidemic years; in late May, the cumulative occurrence areas and annual occurrence areas presented higher positive correlation with the correlation coefficient of 0.817;and established a prediction model of occurrence areas per year based on the disease field rate at the end of boot stages and the diseased plant rate at dough stages. The results of investigation on the impact factors investigation of blast disease in Nanchong in recent years suggested that the internal causes were the decrease or loss of blast resistance of the rice cultivars, as well as the increase of physiological races with strong resistance to rice blast and the emergence of new virulent physiologic varieties; the external causes were suitable temperature, too much rainy, and sunlight shortage. Between 2010 and 2015, the short-term forecast accuracy for rice blast in Nanchong was up to 100%, and medium-and long-term forecast accuracy was also up to 98% and 95%, respectively, which increased by 5-15% than that before 1997, thereby making the control effect of rice blast in Nanchong increased by 15-30%.

Effects of Primary and Secondary Trunk Girdling on the Status and Distribution Regularity of Nutrients in Grape

Objective] The study aimed to investigate the effects of primary and sec-ondary trunk girdling on the status and distribution regularity of nutrients in grape. [Method] Using grape cultivar ‘Rose Honey’ as the experimental material, the ef-fects of primary and secondary trunk girdling on carbon and nitrogen nutrition, min-eral nutrition and nutrient distribution regularity in leaves and branches above the girdling wound and roots below the girdling wound were analyzed. [Result] Girdling could significantly increase non-structural carbohydrate content （such as soluble sugar and starch） in branches above the girdling wound, reduce soluble protein and total nitrogen contents, and significantly improve C/N ratio. Specifical y, the highest C/N ratio in primary girdling group and secondary girdling group was 9.04 and 5.35, respectively, but C/N ratio in control group was only 4.89 in the same period. Girdling not only significantly decreased the content of non-structural carbohydrates （such as soluble sugar and starch） in roots, but also significantly declined soluble protein and total nitrogen content, which also reduced C/N ratio in various degrees. Specifical y, the lowest C/N ratio in primary girdling group and secondary girdling group was 1.16 and 3.06, respectively, while that in control group was 3.15 in the same period. ln addition, primary girdling exerted much greater effects on carbon and nitrogen nutrition than secondary girdling. Moreover, girdling significantly de-creased the contents of phosphorus, potassium, ferrum and copper in grape leaves, branches and roots. Specifical y, primary girdling exerted greater effects on ferrum and copper contents in leaves and branches. The contents of ferrum and copper in the first batch of samples exhibited significant differences between primary girdling group and control group： ferrum content in leaves was 75.05 μg/g DW in primary girdling group and that in control group was 85.29 μg/g DW; ferrum content in branches was 76.45 ？g/g DW in primary girdling group and copper content was 7.82 μg/g DW, while ferrum and copper contents in control group were 95.96 and 10.74 μg/g DW, respectively. [Conclusion] This study provided the basis for accu-rately regulating tree nutrition and ensuring safe and effective use of girdling tech-nique in ‘Rose Honey’ production.

Data-Path Placement Based on Regularity Extraction and Implementation

An algorithm named DPP is addressed.In it,a new model based on the concept of irregularity degree is founded to evaluate the regularity of cells.It generates the structure regularity of cells by exploiting the signal flow of circuit.Then,it converts the bit slice structure to parallel constraints to enable Q place algorithm.The design flow and the main algorithms are introduced.Finally,the satisfied experimental result of the tool compared with the Cadence placement tool SE is discussed.

Wolfe线搜索下一个新的共轭梯度法及其在信号处理中的应用

本文考虑无约束优化问题,提出了一个新的共轭梯度方法,命名为NYHS共轭梯度法.并且证明了在标准Wolfe线搜索下,NYHS方法具有下降性和全局收敛性.将本文提出的算法应用于信号处理中的图像恢复问题和正则化逻辑回归模型,结果表明本文提出的方法是有效的.

基于关系有向图正则化的属性三因子分解模型

针对零样本图像分类中属性和特征之间映射不全面以及属性空间结构挖掘不充分问题,提出了基于关系有向图正则化的属性三因子分解模型。首先,利用属性矩阵三因子分解实现了属性空间和特征空间的映射;其次,通过权值矩阵构建了属性关系有向图;最后,在属性空间或特征空间计算测试样本和各测试类别的相似性,进而实现图像分类。在aPY和SUN数据集上的实验结果表明,所提模型有效地提高了零样本图像分类精度。

PARTIAL REGULARITY FOR MINIMIZERS OF HIGHER ORDER QUASICONVEX FUNCTIONALS

We consider the following quasiconvex functional I(u)=∫ Gf(x,δu,D mu) d x where u is a vector valued function in W m,p (G),m>1 and p>2. The partial C m,a —regularity is proved for minimizers of I(u) under weaker conditions.

中国化工矿产成矿规律与百年勘查成果及新一轮找矿突破行动建议--《中国矿产地质志·化工矿产卷》研编

我国化工矿产种类较齐全,资源也较丰富,是世界上化工矿产种类比较齐全、探明资源量较多的少数几个国家之一。100年来,对20多种化工矿产开展了地质找矿工作,重点勘查评价了磷、硫、钾盐、硼、萤石、重晶石、芒硝、石膏、盐矿、明矾石、天青石、天然碱、砷(雄黄、雌黄)、硝石、化工灰岩等矿种,新发现和扩大资源规模的矿产地7000多处,其中大中型矿区1700余处,为我国化肥工业和化学工业的发展提供了资源保障。在我国几乎所有的地质时代和各种主要的地质构造单元都有化工矿产产出,本次《中国矿产地质志·化工矿产卷》研编梳理了重要化工矿产矿床类型,总结了其空间分布规律,共划分了41个重要的化工矿产Ⅲ级成矿区带,33个矿集区,并圈定3级预测区922个。在新一轮找矿突破战略行动中,要重点加强钾盐、硼矿、磷矿、萤石矿等4个战略性化工矿产的地质勘查工作。

Overexpression pattern,function,and clinical value of proteasome 26S subunit non-ATPase 6 in hepatocellular carcinoma

BACKGROUND In recent years,many studies have shown that proteasome 26S subunit non-ATPase 6(PSMD6)plays an important role in the occurrence and development of malignant tumours.Unfortunately,there are no reports on the evaluation of the potential role of PSMD6 in hepatocellular carcinoma(HCC).AIM To comprehensively evaluate the overexpression pattern and clinical significance of PSMD6 in HCC tissues.METHODS This study integrated PSMD6 mRNA expression profiles from 4672 HCC and 3667 non-HCC tissues,along with immunohistochemical scores from 383 HCC and adjacent tissues,to assess PSMD6 overexpression in HCC.Clustered regularly interspaced short palindromic repeats knockout technology evaluated PSMD6’s essential role in HCC cell growth.Functional enrichment analysis explored the molecular mechanism of PSMD6 abnormalities in HCC.Drug sensitivity analysis and molecular docking analysed the effect of abnormal expression of PSMD6 on the drug sensitivity of HCC cells.RESULTS The results of 41 external and two internal datasets showed that PSMD6 mRNA(SMD=0.26,95%CI:0.09-0.42,P<0.05)and protein(SMD=2.85,95%CI:1.19-4.50,P<0.05)were significantly overexpressed in HCC tissues.The integrated analysis results showed that PSMD6 had a significant overexpression pattern in HCC tissues(SMD=0.40,95%CI:0.15-0.66,P<0.05).PSMD6 knockout inhibited HCC cell growth(chronos scores<-1).Functional enrichment implicated ribosome biogenesis and RNA splicing.Significant enrichment of signalling pathways such as RNA degradation,ribosomes,and chemical carcinogenesis—reactive oxygen species.Drug sensitivity analysis and a molecular docking model showed that high expression of PSMD6 was associated with the tolerance of HCC cells to drugs such as ML323,sepantronium bromide,and GDC0810.Overexpressed PSMD6 effectively distinguished HCC tissues(AUC=0.75,95%CI:0.71-0.79).CONCLUSION This study was the first to discover that PSMD6 was overexpressed in HCC tissues.PSMD6 is essential for the growth of HCC cells and may be involved in ribosome biogenesis and RNA splicing.

超声波流量计的压电换能器动态性能一致性研究

超声流量计的关键组成部分是压电换能器,其性能指标决定流量计的计量准确性和稳定性。针对没有关于换能器匹配性技术指标的规范与标准这一问题,提出一种基于动态时间规整的换能器一致性评估方法,并进行快速配对研究。该方法通过回波信号时间序列的规整路径距离,进行换能器动态性能一致性评估,可以高效地实现换能器动态特性分析。水流量测量实验结果表明:通过动态时间规整算法计算得出的规整路径距离越小,配对的换能器一致性越高,零流量时的顺逆流传播时间差最大可减小到0.3 ns,零流量读数小于0.01 m/s,小流量重复性优于0.2%,满足1.5级精度标准,验证了该方法的可行性,满足了实际工程应用的需要。