深度学习在图像识别中的应用

李超波李洪均*,徐

(南通大学 电子信息学院,江苏 南通 226019

摘要深度学习通过建立深层神经网络模拟人脑进行分析、学习解释数据,广泛用于图像识别领域。首先,简述了深度学习在图像识别中的研究现状;其次,介绍了卷积神经网络、深度置信网络、循环神经网络和生成对抗网络等几种常用于图像识别领域的深度学习网络模型;然后,从人脸识别、动作识别、跌倒检测等方面,论述了深度学习在图像识别领域的典型应用;最后,探讨了该领域的研究难点及发展前景。深度学习可以从不同的图像中自动提取相似的特征并进行分类,识别率高、鲁棒性强,推动了人工智能背景下图像识别的发展。无监督学习、对抗网络等将成为深度学习领域的热点。

关键词深度学习图像识别神经网络

Application of DeepLearning in Image Recognition

LI Chaobo, LI Hongjun*, XU Chen

(School of Electronic and Information, Nantong University, Nantong226019, China)

Abstract: Deep learning simulates the human brain by building deep neural networksto analyze, learn and interpret data. It is widely used in image recognition.Firstly, the research of deep learning is introduced in image recognition.Meanwhile, the typical network models of deep learning are discussed, such asconvolutional neural networks, deep belief networks, recursive neural networksand generative adversarial nets. Then, some applications in image recognitionare introduced, such as face recognition, human action recognition and falldetection. Finally, the difficulties and future works are pointed out. Deeplearning can automatically extract similar features from different images whichcan be classified into several categories. It is excellent in recognition rateand robustness. Deep learning promotes the development of image recognition inartificial intelligence. Unsupervised learning and adversarial networks will bea hot topic in the future.

Key words: deep learning; image recognition;neural network

基于深度学习的输电线路危险源智能监控系统

李程启1,林 1,秦佳峰1,李学钧2,戴相龙2*,蒋 2

1. 国网山东省电力公司电力科学研究院,山东 济南 2500002. 江苏濠汉信息技术有限公司,江苏 南通 226300

摘要:为了掌握输电线路的实时状态,提出一种基于深度学习的输电线路危险源智能监控系统。该监控系统主要包括:信号采集端、内部光纤网络、服务器控制中心、显示终端,其中服务器控制中心的输电线路危险源智能辨识算法是整个系统的核心。该算法采用稀疏自编码从图像/视频信号中学习特征,完成深度神经网络的训练;然后用卷积和池化对特征进行降维;最后采用softmax回归来解决危险源的多分类问题。经实例验证,基于深度学习的危险源辨识算法,可以准确对危险源进行判别。监控系统将判别结果反馈到显示终端,可以全面掌握整个线路运行情况,确保电力系统的安全运行。

关键词:深度学习;输电线路;危险源辨识;智能监控系统

Intelligent Monitoring System for Hazards of Transmission Line Based onDeep Learning

LI Chenqi1, LIN Ying1, QIN Jiafeng1, LI Xuejun2, DAI Xianglong2*, JIANG Yong2

(1. State Grid ShandongElectronic Power Research Institute, Jinan 250000, China; 2. Jiangsu Haohan IT Ltd., Nantong 226300, China)

Abstract: As the important support of the national economy, the safe operationof the power grid provides an endless motivation for the economic development. Atthe same time, the safe operation of the transmission lines is facing increasingchallenges. To master the real-time state of transmission line, an intelligent monitoringsystem for the recognition of the hazards of transmission line, which is based onthe theory of depth learning, is proposed. The monitoring system mainly includes:signal-acquisition equipment, the optical network, server control center, as wellas the display terminal. The transmission line hazards intelligent identificationalgorithm which is in the server and control center, is the core of the system.First, the recognition algorithm usescharacteristicsby the sparse self-coding to train the neural network. Second, it employs the operatorof convolution and pooling for feature dimension reduction. Finally, the softmaxregression is utilized to solve the problem of hazard classification. The experimentsconfirm that the hazards identification algorithm based on deep learning, hazardscan be accurate to discriminate. Then, the results will be transferred to computerterminal to fully control the whole operation, and all kinds of emergencies can be handled in time to ensure the safeoperation of the power system.

Key words: deep learning; transmission line; hazards identification; intelligent monitoring system

响应面法优化NaClO2/UV降解藏红T及动力学研究

沈拥军1,王云丽1,姜明吉2,范凯霞1

1. 南通大学 化学化工学院,江苏 南通 2260192. 东华大学 环境工程与科学学院,上海 201620

摘要:采用NaClO2/UV降解藏红T染料废水,研究染料初始质量浓度、pHNaClO2投加量、UV照射时间对藏红T脱色率的影响及降解过程的动力学,应用响应曲面法优化得出最佳条件。通过紫外可见光谱及红外光谱分析,考察藏红T染料的矿化程度。结果表明,NaClO2/UV能够有效降解藏红T,降解过程符合一级动力学,单个因素对藏红T降解效果的影响顺序为:pH>UV照射时间>初始质量浓度> NaClO2投加量。当pH 4.45、初始质量浓度为44.02 mg.L-1NaClO2投加量为136.54 mg.L-1UV照射时间为19.40 min时,藏红T的脱色率达到97.31%

关键词:NaClO2/UV;藏红T;动力学;响应曲面法;降解

Kinetics Study and Optimization ofNaClO2/UV Treated Safranine T Based Response Surface Methodology

SHEN Yongjun1, WANG Yunli1, JIANG Mingji2, FAN Kaixia1

(1.School of Chemistry and Chemical Engineering, Nantong University, Nantong226019, China; 2. College of Environmental Science and Engineering,Donghua University, Shanghai 201620, China)

Abstract: Safranine T was degraded by NaClO2/UVmethod. The effects of initial dye concentration, pH, NaClO2 dosageand UV irradiation time on Safranine T decolorization rate were studied, aswell as the kinetics. The optimal condition was obtained using response surfacemethodology. Ultraviolet visible spectrum and infrared absorption spectrum wereconducted to evaluate the mineralization of Safranine T. The results showed thatNaClO2/UV can effectively degrade Safranine T and the degradationprocess follows first order kinetics. The effect order of four factors was pH>UV irradiation time > initial dye concentration > NaClO2dosage. Under the optimum conditions that pH of 4.45, initial dye concentrationof 44.02 mg.L-1,NaClO2 dosage of 136.54 mg.L-1,UV irradiation time of 19.40 min, decolorization rate of Safranine T reached to97.31%.

Key words: NaClO2/UV; Safranine T; kinetics;response surface methodology; degradation

局部背接触太阳电池背场铝浆研究

1,朱 1*,何会子2

1.南通大学 化学化工学院,江苏 南通 2260192.南通天盛新能源股份有限公司,江苏 南通 226001

摘要:为了提高局域背接触太阳电池的电性能,研究了铝粉物性(氧含量、粒径)对局域背接触太阳电池背场铝浆性能的影响,探究了烧结工艺对局域背接触太阳电池填充率、铝背场厚度和电性能的影响。结果表明:低氧含量铝粉和小粒径铝粉活性较高,铝粉和玻璃粉的反应温度较低,铝硅原子间扩散程度较大,可获得较厚的铝背场和较低的填充率;适中的烧结温度能够平衡填充率和铝背场厚度,峰值烧结温度为778.6 时,填充率达到62.35%,铝背场厚4 μm左右,转化效率最高达到21.16%

关键词:局域背接触太阳电池;太阳能电池;铝浆;铝背场;电性能

Study on Aluminum Paste of Passivated Emitter and Rear Contact Solar Cells

CHEN Jin1, ZHU Peng1*, HE Huizi2

(1. School of Chemistry and Chemical Engineering, Nantong University, Nantong 226019,China; 2. Nantong T-sun New EnergyCo., Ltd., Nantong 226001, China)

Abstract: To improve the electrical performance ofpassivated emitter and rear contact (PERC) solar cells, theeffect of aluminum powders physical properties (oxygen content, particle size)on the performance of Al paste of PERC solar cells were studied and theinfluence of firing process on the filling rate, thickness of aluminum back surface field(BSF) and electrical properties ofPERC solar cells were investigated. Results showed that the lower oxygencontent and smaller particle size of Al powders were more active. Because Alpowders react with glass frits at lower temperature and the degree of diffusionbetween Al and Si atoms is more intense, PERC solar cells can obtain thickerBSF and lower filling rate. Moderate firing temperature can balance the fillingrate and BSF. When the peak firing temperature was 778.6 , the filling rate of 62.35%, BSF of 4 μm and the maximumconversion efficiency value of 21.16% were obtained.

Key words: PERC solar cells; solarcells; aluminum paste; BSF; electrical properties

电化学传感器及其在重金属检测中的应用

张家琴,朱晓霞*

(南通大学 医学院,江苏 南通 226009

摘要:重金属污染因其具有持久性、生物富集性和毒性而备受关注,相比于传统检测重金属的方法,电化学传感器具有成本低、灵敏度高、操作简便、易携带等优点,更适于现场检测。文章从电化学传感器的构建原理出发,系统介绍了电化学传感器的种类、制备工作电极的材料以及用以修饰电极的各种材料,分析了用这些材料制备的电化学传感器在重金属检测中的优缺点,指出在实践过程中需要对工作电极和修饰材料进行选择和优化,耐用性强、微型化、自动化、多功能化将是电化学传感器今后的主要发展方向。

关键词:重金属离子;电化学传感器;三电极体系;工作电极;纳米材料;检测

Study on Electrochemical Sensors for Heavy Metal IonsDetermination

ZHANG Jiaqin, ZHU Xiaoxia*

(School ofMedical, Nantong University, Nantong 226009, China)

Abstract:Environmental pollution byheavy metals has become high-profile because of their durability,bioaccumulation and toxicity. Compared with the traditional techniques,electrochemical sensors have the advantages of low cost, high sensitivity, easeof operation, portability, which are more suitable for the on-site detection. Basedon the principle of electrochemical sensors, this review mainly presentsdifferent types of work electrodes in three-electrode system, different typesof materials to modify the surface of working electrodes, the advantages ofelectrochemical sensors prepared by these materials and proposes that optimizationand selection should be carried out in the application of work electrodes andmaterials. In addition, the future perspectives regarding heavy metal ionsdetermination using electrochemical sensors will develop to the highdurability, the microminiaturization, the automation and themulti-functionalization direction.

Key words: heavy metal ions; electrochemicalsensors; three-electrode systems; working electrodes; nanomaterial; determination

悬浮粒子浓度实验室检测能力的En值评价

吴陈军1,陆 2

1. 南通市食品药品监督检验中心,江苏 南通 2260062. 南通市计量检定测试所,江苏 南通 226011

摘要:为了客观评价药品检验机构洁净室悬浮粒子浓度的检测能力,选择了三家药检机构进行比对分析。将这三家药检机构常用的悬浮粒子检测仪器集中于同一采样点,由同一测试人员操作,在《医药工业洁净室(区)悬浮粒子的测试方法》规定的条件下进行检测,并统计三台仪器的检测结果。计算各仪器测量的标准不确定度,并采用比值率En值对三台仪器的测量结果进行评价。结果显示,参加比对的三家药品检验实验室悬浮粒子浓度测量结果的|En|均小于1(越接近0越好),表明该三家实验室的检测结果均准确可靠,检测能力令人满意。

关键词:比值率En值;悬浮粒子;浓度;不确定度;检测能力

Evaluation of the En Value for Laboratory Detection Capability of Airborne Particle Concentration

WU Chenjun1, LU Chun2

(1.Nantong Food and Drug Control Center, Nantong 226006, China; 2.Nantong Institute of Metrology and Measurement, Nantong 226011, China)

Abstract: Three agencies were selected forcomparative analysis to objectively evaluate the ability of detecting airborneparticle in clean rooms of drug inspection agencies. Concentrate the airborneparticle detection instruments commonly used by the three drug inspectionagencies were placed on the same sample point, and were operated by same user,test under the conditions of “Test method for airborne particles in clean room(zone) of the pharmaceutical industry”, and three instruments’ test resultswere counted. The standard uncertainty of each instrument's test result wascalculated and the ratio value En value was used to evaluate the test resultsof three instruments. The results showed that |En| of the test results of the airborne particle inthree drug inspection agencies participating in the comparison were all lessthan 1 (the closer to 0 the better), indicating that the test results of thethree agencies were accurate and reliable, and the detection capability wasproved satisfactory.

Key words: En values; suspended particles;concentration; uncertainty; detection capability

装配式建筑水泥基灌浆料性能试验研究

1,2,刘加坤1,陈佳佳3

1.南通职业大学 建筑工程学院,江苏 南通 2260072.河海大学 岩土工程研究所,江苏 南京 2100983.江苏南通六建建设集团有限公司,江苏 南通 226500

摘要:以普通硅酸盐水泥、砂、矿物掺合料(粉煤灰、硅灰)以及外加剂(减水剂、缓凝剂、膨胀剂)为主要原料配制成装配式建筑水泥基灌浆料。通过检测合理配合比下、不同水灰比的水泥基灌浆料的流动性、强度、膨胀性、泌水率、总氯离子含量、电通量和氯离子扩散系数等指标来考察其性能。结果表明,当砂最大粒径为2.36 mm、水灰比为0.24~0.30、砂灰比为11、粉煤灰掺量为8%、硅灰掺量为5%、减水剂掺量为0.6%、缓凝剂掺量为0.1%、膨胀剂掺量为8%时,水泥基灌浆料的各项性能均满足装配式建筑灌浆料的要求。最后结合现场工程实测资料,对氯离子环境下水泥基灌浆料的最小保护层厚度进行了推算。

关键词:装配式建筑;水泥基灌浆材料;耐久性;最小保护层

TestResearch on Performance of Cement-Based Grouting Material for PrefabricatedConstruction

ZHU Yan1,2LIU Jiakun1, CHEN Jiajia3

(1.Architectural Engineering Institute of Nantong Vocational University, Nantong 226007, China; 2.Geotechnical Research Institute of Hohai University, Nanjing 210098, China; 3.Jiangsu Nantong Liujian Construction Group Co., Ltd., Nantong 226500, China)

Abstract: The cement foundation grouting material was made ofordinary silicate cement, sand, mineral admixture (fly ash and silica ash) andadditive (water reducer, coagulant and expansion agent) as the main rawmaterials. The performance of cement based slurry with reasonable matchingratio and different water ash ratio was investigated by measuring the fluidity,strength, expansibility, water rate, total chloride ion content, electric fluxand chloride ion diffusion coefficient. The test results showed that the performanceof the cement foundation grouting material meets the requirements of theassembled building grouting material when the maximum diameter of sand is 2.36mm, the ratio of water ash to water ash is 0.24 to 0.30, the ratio of sand ashto ash is 11, theamount of fly ash is 8%, the amount of silica ash is 5%, the amount of waterreducing agent is 0.6%, the amount of water reducing agent is 0.1%, and theamount of swelling agent is 8%. Finally, the minimum protective layer thicknessof cement-based slurry in chloride ion environment was calculated based on thefield engineering data.

Key words: prefabricated construction; cement-based grouting material; durability; minimum protective layer

基于游客轨迹的景区智能辅助决策研究

盖宸德,周 *,孙晨星,康天乐

(南通大学 地理科学学院,江苏 南通 226007

摘要:以南通市啬园景区为实验样区,游客的行人轨迹为数据源,基于GIS空间技术,采用Voronoi方法,完成了景区的内部分区,及各分区不同时段的流量差异,给出了游客游览趋向。研究结果表明:游乐区、烧烤区作为游乐类和餐饮类功能性分区,客流量占整体的55%,属于热点区域;蝴蝶湖区、梅林区、花展区作为自然类观赏性分区,客流量共占整体的24%,客流量适中;茅亭区为服务类功能性分区,客流量占整体的5%,缺少较为完善的服务性设施,处于功能性分区与观赏性分区的过度地带;张謇墓区为人文类观赏性分区,客流量占整体的3%,客流量最少。对于功能性分区,应加强功能性建设,提高游乐设施的新颖性、多样性;对于观赏性分区,可利用其人文特性、自然特性,在固有设施的基础上完善其观赏性,提高景区的服务质量,从而增加景区的客流量,提升景区的核心竞争力。

关键词游客轨迹;啬园景区;GIS;智能决策;客流量

Study onIntelligence Assistant Decision-Making Based on the Tourist Trajectory for ScenicSpots

GE ChengdeZHOU Tong*SUN ChenxinKANG Tianle

(School of Geographical Science, NantongUniversity, Nantong 226007, China)

Abstract: Based on the tourist trajectory, a new method is proposed tostudy the tourist flow of Seyuan Park in Nantong by using GIS spatial analysismethod. Voronoi Diagrams was used to divide the scenic area. Combined withpedestrians’ track, the traffic data were collected, managed, processed andanalyzed in each district, statistic the flow differences between eachpartition in different periods, giving out tourist trend according to thepedestrian trajectory. The result of research revealed that recreation area,barbecue area as the recreation category and catering functional area, thepassenger flow rate is 55%, the hot area; The butterfly lake district, merlinarea and flower exhibition area are the natural ornamental areas. The passengerflow rate is 24%, the moderate passenger flow. As a functional partition ofservice, the thatched district with 5% of the total passenger flow, and thereis no perfect service facility, which is in the excessive zone of functionalzoning and ornamental partition. Zhang Jian's tomb area is a kind of humanisticornamental area, with the passenger flow rate of 3% and the lowest passengerflow. For functional zone, Seyuan scenic area should strengthen the functionalconstruction of the partition, improve the novelty and diversity of thedistrict amusement facilities. To the appreciation of different emphasis onpartition, on the basis of the proper facilities its cultural and naturalfeatures can be employed to complete its view and improve the service quality,thus more visitors will be attracted and core competitiveness will be enhanced.

Key words: tourist trajectory; Seyuan Park; GIS; intelligence decision;passenger flow volume

圆角矩形环的夫琅禾费衍射及其应用

兵,钱月明

(南通大学 理学院,江苏 南通 226019

摘要:针对圆角矩形环的夫琅禾费衍射精确解尚未获得的问题,建立圆角矩形环孔径的数学模型,基于基尔霍夫衍射积分公式,通过曲线坐标变换关系,利用傅里叶变换,得到圆角矩形环的夫琅禾费衍射精确解。作出该类环的衍射图样,并通过将圆角矩形环的夫琅禾费衍射推广到特例情况验证了研究结果的正确性。进一步分析表明,圆角矩形环衍射图在椭圆轮廓下出现了许多次级衍射峰,随着圆角矩形环的缺角因子减小或者环宽度增大,次级衍射峰特征逐步减弱,衍射图形趋于顺滑。最后,利用图形的可视化及特例推广说明了本研究在教学中的一些应用。

关键词:圆角矩形环;夫琅禾费衍射;衍射;傅里叶变换

Fraunhofer Diffraction of Rounded RectangleRing and Its Application

DAI Bing, QIAN Yueming

(Schoolof Sciences, Nantong University, Nantong 226019, China)

Abstract: To obtain the exact solution of fraunhofer diffraction ofrounded rectangle ring, the mathematical model of rounded rectangle ring isestablished. Based on Kirchhoff's diffraction integral formula, and through thecurvilinear coordinate transformation and the Fourier transform, the fraunhoferdiffraction exact solution of the rounded rectangle ring has been obtained. Thediffraction pattern of this kind of ring is given and the validity of the resultsis illustrated by extending the fraunhofer diffraction of the rounded rectanglering to the special case. Further analysis showed that the diffraction patternof the rounded rectangular ring has many secondary diffraction peaks in theelliptical contour. With the decrease of angular factor or the increase of ringwidth, the characteristics of the secondary diffraction peak gradually weakenand the diffraction pattern tends to be smooth. Finally, its application inteaching is illustrated by the visualization of graphics and the extension ofspecial cases.

Key words: rounded rectangle ring; fraunhofer diffraction; diffraction; Fouriertransform

Schrdinger算子相关的Riesz变换及其交换子在加权Herz空间上的有界性

金,朱月萍*

(南通大学 理学院,江苏 南通 226019

摘要:借助与Schr?dinger算子相关的Riesz变换及其交换子在Lp(ω)上有界性的结论、Riesz变换核的估计,证明了与Schr?dinger算子相关的Riesz变换及其交换子在加权Herz空间上的有界性。

关键词:加权Herz空间;Riesz变换;交换子;Schr?dinger算子;有界性

Boundedness on Weighted Herz Spaces of Riesz Transform and ItsCommutators Related to Schr?dinger Operators

LI Jin, ZHU Yueping*

(School of Sciences,Nantong University, Nantong 226019, China)

Abstract: Based on the Lp(ω)-boundedness of Riesz transform and its commutators related toSchr?dinger operators, and the estimations of the kernels of Riesz transformand its commutators, it is proved that the Riesz transform and its commutatorsrelated to Schr?dinger operators are bounded on weighted Herz spaces.

Key words: weighted Herz spaces;Riesz transform; commutators; Schr?dinger operators; boundedness

万博体育app登录π-弱半交换环

刚,吴 *

(安徽师范大学 数学与统计学院,安徽 芜湖 241003

摘要:给出了π-弱半交换环的概念,说明了π-弱半交换环是弱半交换环和π-半交换环的真推广。同时给出了π-弱半交换环的一些等价刻画,得到了π-弱半交换环与其他一些环之间的关系。

关键词:π-弱半交换环;π-半交换环;弱半交换环;Armendariz

On π-WeakSemicommutative Rings

ZHOU Gang, WU Jun*

(School of Mathematics andStatistics, Anhui Normal University, Wuhu 241003, China)

Abstract: The concept of π-weak semicommutative rings isintroduced, which were the generalizations of weak semicommutative rings and π - semicommutative rings. In thispaper, some properties of π-weaksemicommutative ring were presented, and the relation between it and somerelated rings was obtained.

Key words:π-weak semicommutative ring; π-semicommutativering; weak semicommutative ring; Armendariz ring

两参数逆威布尔分布顺序统计量的矩及渐近分布

姜培华

(安徽工程大学 数理学院, 安徽 芜湖 241000

摘要:{Xk1≤kn}独立同分布,X(1)X(2),…,X(n)为其顺序统计量,当总体服从参数为(mη)的逆威布尔分布时,得到其顺序统计量的概率密度、高阶矩和方差的表达式。证明了样本间隔不独立且不同分布,当k(k>1)固定时,得到顺序统计量X(n-k+1)X(n)的渐近分布,最后给出一个万博体育app登录并联系统寿命的应用实例。

关键词:两参数威布尔分布;顺序统计量;矩;渐近分布

Moments and Asymptotic Distributionsof Order Statistics from Inverse Weibull Distribution with Two Parameters

JIANG Peihua

(Schoolof Mathematics and physics, Anhui Polytechnic University, Wuhu 241000, China)

Abstract: Let{Xk1≤kn}be independent andidentically distributed random variables, and X(1), X(2),, X(n)be theirorder statistics. The probability density function of its order statistics andthe moments precise calculation formula were obtained, when X(k) followed Inverse Weibull distribution with parameters(mη). It was proved that thesample intervals of their order statistics are neither independent nor identicallydistributed. For a fixed integer k>1,the asymptotic distributions of the extremer order statistic X(n) and X(n-k+1)werealso obtained. Finally, application example about the life of parallel system wasgiven.

Key words: inverse Weibull distribution; order statistics; moment; asymptoticdistribution

保费收入服从一类指数分布风险过程下的三特征联合分布函数

刘文震

安徽工程大学 数理学院安徽 芜湖 241000

摘要:将经典风险模型中Poisson索赔过程推广为广义Poisson过程,给出破产时间、破产瞬间前的余额、破产赤字三特征联合分布函数。在此基础上再将广义Poisson风险模型中的保费收入由线性过程推广为服从一类指数分布,并给出了符合以下3种条件:1)保费收入服从参数为λ的指数分布;2a=1且保费收入服从b维的Bessel过程;3)当a1a0且保费收入服从M(t)=∫texp(bs+aBs)ds时相应的复合广义Poisson风险模型下的三特征联合分布函数。

关键词:指数分布;复合广义Poisson过程;联合分布函数;保费;风险模型

A Joint Distribution Function forRisk Process of Premium Income Based on a Kind of Exponential Distribution

LIU Wenzhen

(School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000, China)

Abstract: In this paper, the claim process ofthe classic risk model Poisson process was extended into a generalized poissonprocess, given the time of ruin, the surplus immediately before ruin, thedeficit three features of joint distribution function. Based on the generalizedpoisson risk model of premium is obey a kind of exponential distribution, three conditions are listed as following:1) The joint distribution function ofthe premium income isexponential distribution with intensity λ and the claim is generalized Poisson process. 2) When a=1the joint distribution function of the premium income obtained is a Besselprocess with index band the claim is generalized Poisson process.3) When a≠1 and a≠0, the joint distributionfunction of the premium income obtained is M(t)=∫t exp(bs+aBs)dsand the claim is generalized Poisson process.

Key words: exponential distribution; generalizedpoisson process; joint distributionfunction; premium income; risk model

万博体育app登录高阶Cauchy中值定理中间点函数可微性的进一步研究

丛培根,张树义*

渤海大学 数理学院,辽宁 锦州 121013

摘要:在较弱条件下,进一步研究了高阶Cauchy中值定“中间点函数的一阶可微性与渐近性,所得结果改进和推广了有关文献中的相应结果。

关键词:高阶Cauchy中值定理;中值定理;中间点函数;可微性

Further Study onDifferentiability of Intermediate PointFunctionfor High Order Cauchy MeanValue Theorem

CONG Peigen, ZHANG Shuyi*

(College of Mathematics and Physics, Bohai University, Jinzhou 121013, China)

Abstract:Inthis paper, thefirst order differentiability and asymptotic behavior at point of the intermediate point function for highorder Cauchy mean value theorem under weaker conditions were studied. the results were obtained to improve and extend the corresponding results of some references.

Key words: high order Cauchy mean value theorem; mean value theorem; intermediatepoint function; differentiability