The logarithmic model is often used to describe the relationships between factors.It often gives good statistical characteristics.Yet,in the process of modeling of soil and water conservation,we find out that this“g...The logarithmic model is often used to describe the relationships between factors.It often gives good statistical characteristics.Yet,in the process of modeling of soil and water conservation,we find out that this“good”model cannot guarantee good result.In this paper we make an inquiry into the intrinsic reasons.It is shown that the logarithmic model has the property of enlarging or reducing model errors,and the disadvantages of the logarithmic model are analyzed.展开更多
In this article, a law of iterated logarithm for the maximum likelihood estimator in a random censoring model with incomplete information under certain regular conditions is obtained.
稻谷籽粒内部水分扩散的快慢决定了干燥速率。本文基于Logarithmic方程,建立稻谷水分传递动力学模型,并分析热风温度(40、50、60、70℃)和风速(0.3、0.4、0.5 m/s)对稻谷(湿基水分含量23.4%)有效水分扩散系数和扩散活化能的影响。结果表...稻谷籽粒内部水分扩散的快慢决定了干燥速率。本文基于Logarithmic方程,建立稻谷水分传递动力学模型,并分析热风温度(40、50、60、70℃)和风速(0.3、0.4、0.5 m/s)对稻谷(湿基水分含量23.4%)有效水分扩散系数和扩散活化能的影响。结果表明:随着干燥温度和风速的上升,稻谷干燥速率提高,同时对应的有效水分扩散系数越大,分别为5.123×10-12~2.141×10-11m^2/s;扩散活化能从32.94 k J/mol增加至36.30 k J/mol;对比常用的5种谷物干燥模型发现,Logarithmic模型对稻谷薄层干燥的拟合度较好,R2>0.997,RMSE<2.810×10^(-3),同时该模型模拟得出的有效水分扩散系数与实际差值均低于3.8×10^(-13)m^2/s,扩散活化能均低于2.53 k J/mol,与实际值基本吻合。展开更多
共识机制是区块链系统的核心技术,但是目前的共识机制存在3个问题,即共识效率低、可靠性和安全性低、计算复杂度高。针对这些问题,提出了一种新的子分组多重Schnorr签名方案,该方案既拥有Schnorr数字签名密码体制的计算复杂度低优势,又...共识机制是区块链系统的核心技术,但是目前的共识机制存在3个问题,即共识效率低、可靠性和安全性低、计算复杂度高。针对这些问题,提出了一种新的子分组多重Schnorr签名方案,该方案既拥有Schnorr数字签名密码体制的计算复杂度低优势,又拥有子分组多重签名的优势(它可以从集合的全体成员中选择不定数量的成员组成子分组,以代替群组产生多重签名,由于子分组是不可预知的,因此可以有效避免出现Byzantine叛徒,提高了方案的安全性,解决了共识机制存在的可靠性和安全性低、计算复杂度高的问题)。该方案引入了公共第三方(PTP,public third party),PTP由可自动公开执行的智能合约充当,完全公开透明,不仅可以抵御流氓密钥攻击,还减少了签名过程的总通信轮次和时间开销,解决了共识机制存在的共识效率低问题。同时,详细证明了该方案具有鲁棒性,可以提高共识机制的安全性;基于离散对数假设,该方案在随机预言模型下具有不可伪造性。理论分析和实验结果证明,该方案拥有更小的公钥长度、私钥长度、单签名长度和多重签名长度,拥有更少的通信轮次,签名生成算法和验证签名算法的时间开销更小,应用在共识机制上具有更优越的性能。展开更多
“十四五”时期是中国实现碳达峰的关键时期,也是推动经济高质量发展和生态环境质量持续改善的重要阶段。可拓展的随机性环境影响评估(Stochastic Impacts by Regression on Population,Affluence,and Technology,STIRPAT)模型可以根据...“十四五”时期是中国实现碳达峰的关键时期,也是推动经济高质量发展和生态环境质量持续改善的重要阶段。可拓展的随机性环境影响评估(Stochastic Impacts by Regression on Population,Affluence,and Technology,STIRPAT)模型可以根据研究需要增加自变量,更好地分析相关因素对因变量的影响。以北京市为研究区,通过构建扩展的STIRPAT模型,分析人均地区生产总值(Gross Domestic Product,GDP)、人均汽车保有量、城市化率、第三产业GDP占比、能源消费强度与人均碳排放量的关系,并采用对数平均迪氏指数(Logarithmic Mean Divisia Index,LMDI)分解法分解能源消费强度。结果表明,产业结构和能源消费强度对人均碳排放量均有显著的正向影响。总体来看,要平衡经济发展与碳排放的关系,提高能源利用效率,推广可再生能源,降低能源消耗,减少碳排放。展开更多
Permanent plots in the montane tropical rain forests in Xishuangbanna, southwest China, were established, and different empirical models, based on observation data of these plots in 1992, were built to model diameter ...Permanent plots in the montane tropical rain forests in Xishuangbanna, southwest China, were established, and different empirical models, based on observation data of these plots in 1992, were built to model diameter frequency distributions. The focus of this study is on predicting accuracy of stem number in the larger diameter classes, which is much more important than that of the smaller trees, from the view of forest management, and must be adequately considered in the modelling and estimate. There exist 3 traditional ways of modelling the diameter frequency distribution: the negative exponential function model, limiting line function model, and Weibull distribution model. In this study, a new model, named as the logarithmic J-shape function, together with the others, was experimented and was found as a more suitable model for modelling works in the tropical forests.展开更多
A complete mathematical model for logarithmic spiral type sprag one-way clutch design and analysis is given.It assumes that the motion of all clutch components can be expressed by a model of epicyclic gearing.It takes...A complete mathematical model for logarithmic spiral type sprag one-way clutch design and analysis is given.It assumes that the motion of all clutch components can be expressed by a model of epicyclic gearing.It takes advantage of Hunt-Crossley contact impact theory to calculate the contact forces between sprags and races,and it can be used for optimization of design and comparison with other types of sprag clutches.A good deal of analysis shows that the parameters of the steady windup angle,the steady contact force,the natural frequency and natural cycle of clutch have nothing to do with the initial velocity of outer race,while the parameters of the maximum transient windup angle,the maximum transient impact force and the steady engagement time increase linearly in the mode of engaging operation of clutch.It is also shown that the strut angle has great influence on the dynamic engagement performance of clutch.The parameters of the steady windup angle,the maximum transient windup angle,the steady engaging time,the steady contact force,the maximum transient impact force and the natural cycle of clutch decrease linearly nearly with the inner strut angle,while the natural frequency of the system increases linearly with the inner strut angle.展开更多
The mathematical model is often used for fitting the trend of changes in cultivated land resources in the land use planning,but the fitting effect is different in different study areas. In this paper,we take two geogr...The mathematical model is often used for fitting the trend of changes in cultivated land resources in the land use planning,but the fitting effect is different in different study areas. In this paper,we take two geographically adjacent cities with great differences in the economic development model,Xinghua City and Jingjiang City,as the research object. Using logarithmic model( M1),Kuznets model( M2),logistic model( M3) and multivariate linear model( M4),we fit the process of changes in cultivated land resources during the period 1980- 2009,and compare the differences in the fitting effect between different models. In terms of the model fitting effect in Xinghua City,it is in the order of M3 > M4 > M1 > M2,which is related to the fact that the local areas lay great emphasis on agricultural development,and pay close attention to ensuring the cultivated land area; in terms of the model fitting effect in Jingjiang City,it is in the order of M1 > M3 > M4 > M2,and the deep-seated cause is that its development model is dominated by extended trade expansion,and the level of intensive land use is constantly improved. In addition,we discuss the multi-stage characteristics of changes in cultivated land resources,and propose a solution of using the same model to simulate in various phases. The research results in Jingjiang City show that the coefficient of determination in the first phase( R2=0. 958) and the standard error( SE = 0. 261) are both better than those of the original model( R2= 0. 945,SE = 0. 312); the coefficient of determination in the second phase is slightly low( R2= 0. 851),but the standard error is greatly improved( SE = 0. 137). Compared with the research conclusions of other scholars,it can be believed that this method can better solve the problems that the scatter plot of logistic model presents wave-shape and the scatter plot of Kuznets model presents " M"-shape,in order to improve the applicability of mathematical models.展开更多
基金Supported by the Ministry of Educational,China(2003-58)the Research Fund for thr Doctoral Programs of the Ministry of Education,China(2002-173)
文摘The logarithmic model is often used to describe the relationships between factors.It often gives good statistical characteristics.Yet,in the process of modeling of soil and water conservation,we find out that this“good”model cannot guarantee good result.In this paper we make an inquiry into the intrinsic reasons.It is shown that the logarithmic model has the property of enlarging or reducing model errors,and the disadvantages of the logarithmic model are analyzed.
文摘In this article, a law of iterated logarithm for the maximum likelihood estimator in a random censoring model with incomplete information under certain regular conditions is obtained.
文摘稻谷籽粒内部水分扩散的快慢决定了干燥速率。本文基于Logarithmic方程,建立稻谷水分传递动力学模型,并分析热风温度(40、50、60、70℃)和风速(0.3、0.4、0.5 m/s)对稻谷(湿基水分含量23.4%)有效水分扩散系数和扩散活化能的影响。结果表明:随着干燥温度和风速的上升,稻谷干燥速率提高,同时对应的有效水分扩散系数越大,分别为5.123×10-12~2.141×10-11m^2/s;扩散活化能从32.94 k J/mol增加至36.30 k J/mol;对比常用的5种谷物干燥模型发现,Logarithmic模型对稻谷薄层干燥的拟合度较好,R2>0.997,RMSE<2.810×10^(-3),同时该模型模拟得出的有效水分扩散系数与实际差值均低于3.8×10^(-13)m^2/s,扩散活化能均低于2.53 k J/mol,与实际值基本吻合。
文摘共识机制是区块链系统的核心技术,但是目前的共识机制存在3个问题,即共识效率低、可靠性和安全性低、计算复杂度高。针对这些问题,提出了一种新的子分组多重Schnorr签名方案,该方案既拥有Schnorr数字签名密码体制的计算复杂度低优势,又拥有子分组多重签名的优势(它可以从集合的全体成员中选择不定数量的成员组成子分组,以代替群组产生多重签名,由于子分组是不可预知的,因此可以有效避免出现Byzantine叛徒,提高了方案的安全性,解决了共识机制存在的可靠性和安全性低、计算复杂度高的问题)。该方案引入了公共第三方(PTP,public third party),PTP由可自动公开执行的智能合约充当,完全公开透明,不仅可以抵御流氓密钥攻击,还减少了签名过程的总通信轮次和时间开销,解决了共识机制存在的共识效率低问题。同时,详细证明了该方案具有鲁棒性,可以提高共识机制的安全性;基于离散对数假设,该方案在随机预言模型下具有不可伪造性。理论分析和实验结果证明,该方案拥有更小的公钥长度、私钥长度、单签名长度和多重签名长度,拥有更少的通信轮次,签名生成算法和验证签名算法的时间开销更小,应用在共识机制上具有更优越的性能。
文摘“十四五”时期是中国实现碳达峰的关键时期,也是推动经济高质量发展和生态环境质量持续改善的重要阶段。可拓展的随机性环境影响评估(Stochastic Impacts by Regression on Population,Affluence,and Technology,STIRPAT)模型可以根据研究需要增加自变量,更好地分析相关因素对因变量的影响。以北京市为研究区,通过构建扩展的STIRPAT模型,分析人均地区生产总值(Gross Domestic Product,GDP)、人均汽车保有量、城市化率、第三产业GDP占比、能源消费强度与人均碳排放量的关系,并采用对数平均迪氏指数(Logarithmic Mean Divisia Index,LMDI)分解法分解能源消费强度。结果表明,产业结构和能源消费强度对人均碳排放量均有显著的正向影响。总体来看,要平衡经济发展与碳排放的关系,提高能源利用效率,推广可再生能源,降低能源消耗,减少碳排放。
文摘Permanent plots in the montane tropical rain forests in Xishuangbanna, southwest China, were established, and different empirical models, based on observation data of these plots in 1992, were built to model diameter frequency distributions. The focus of this study is on predicting accuracy of stem number in the larger diameter classes, which is much more important than that of the smaller trees, from the view of forest management, and must be adequately considered in the modelling and estimate. There exist 3 traditional ways of modelling the diameter frequency distribution: the negative exponential function model, limiting line function model, and Weibull distribution model. In this study, a new model, named as the logarithmic J-shape function, together with the others, was experimented and was found as a more suitable model for modelling works in the tropical forests.
基金Project(2011CB706800)supported by the National Basic Research Program of China
文摘A complete mathematical model for logarithmic spiral type sprag one-way clutch design and analysis is given.It assumes that the motion of all clutch components can be expressed by a model of epicyclic gearing.It takes advantage of Hunt-Crossley contact impact theory to calculate the contact forces between sprags and races,and it can be used for optimization of design and comparison with other types of sprag clutches.A good deal of analysis shows that the parameters of the steady windup angle,the steady contact force,the natural frequency and natural cycle of clutch have nothing to do with the initial velocity of outer race,while the parameters of the maximum transient windup angle,the maximum transient impact force and the steady engagement time increase linearly in the mode of engaging operation of clutch.It is also shown that the strut angle has great influence on the dynamic engagement performance of clutch.The parameters of the steady windup angle,the maximum transient windup angle,the steady engaging time,the steady contact force,the maximum transient impact force and the natural cycle of clutch decrease linearly nearly with the inner strut angle,while the natural frequency of the system increases linearly with the inner strut angle.
基金National Natural Science Foundation Youth Project(41301035)Starting-up Foundation of Nanjing University of InformationScience and Technology(S8110156001)
文摘The mathematical model is often used for fitting the trend of changes in cultivated land resources in the land use planning,but the fitting effect is different in different study areas. In this paper,we take two geographically adjacent cities with great differences in the economic development model,Xinghua City and Jingjiang City,as the research object. Using logarithmic model( M1),Kuznets model( M2),logistic model( M3) and multivariate linear model( M4),we fit the process of changes in cultivated land resources during the period 1980- 2009,and compare the differences in the fitting effect between different models. In terms of the model fitting effect in Xinghua City,it is in the order of M3 > M4 > M1 > M2,which is related to the fact that the local areas lay great emphasis on agricultural development,and pay close attention to ensuring the cultivated land area; in terms of the model fitting effect in Jingjiang City,it is in the order of M1 > M3 > M4 > M2,and the deep-seated cause is that its development model is dominated by extended trade expansion,and the level of intensive land use is constantly improved. In addition,we discuss the multi-stage characteristics of changes in cultivated land resources,and propose a solution of using the same model to simulate in various phases. The research results in Jingjiang City show that the coefficient of determination in the first phase( R2=0. 958) and the standard error( SE = 0. 261) are both better than those of the original model( R2= 0. 945,SE = 0. 312); the coefficient of determination in the second phase is slightly low( R2= 0. 851),but the standard error is greatly improved( SE = 0. 137). Compared with the research conclusions of other scholars,it can be believed that this method can better solve the problems that the scatter plot of logistic model presents wave-shape and the scatter plot of Kuznets model presents " M"-shape,in order to improve the applicability of mathematical models.
