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随机变量对数化的相关分析(待续) 被引量:1
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作者 杨远东 杨敬元 《黑龙江水专学报》 2001年第3期30-33,共4页
在水文水资源分析计算中,常为两同步系列的变量,对其中一个变量或同时对两个变量加以对数化,以期提高其直线相关 系数,这种方式被认为属于“假相关”范畴。对此,从基本的数学概念出发,对变量对数化的相关关系作出推导和分析。结 ... 在水文水资源分析计算中,常为两同步系列的变量,对其中一个变量或同时对两个变量加以对数化,以期提高其直线相关 系数,这种方式被认为属于“假相关”范畴。对此,从基本的数学概念出发,对变量对数化的相关关系作出推导和分析。结 果表明,变量对数化后,相关关系不一定能得到改善,文中若干应用实例加以佐证,进而说明变量作对数化处理后,其相关 关系有时反有所下降,应引起注意以免误解。 展开更多
关键词 随机变量 对数化 相关分析 假相关 水文水资源分析
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数列问题中的对数化处理
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作者 陶思亭 《考试(高考文科版)》 2009年第11期56-57,共2页
在数列这一章中,我们也学习过一个重要的结论:若正数等比数列{an),另bn=log,则数列{bn}就是等差数列。我们把上述的方法称为对“积(幂)的形式”进行“对数化”处理,是一个重要的解题手段和常用的方法。
关键词 对数化 数列
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随机变量对数化的相关分析(续完)
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作者 杨远东 杨敬元 《黑龙江水专学报》 2001年第4期10-12,共3页
In the computation of hydrological and water resource analysis, in order to obtain a higher correlation coefficient, taking two synchronization series of variables, one variable or two variables, at the same time are ... In the computation of hydrological and water resource analysis, in order to obtain a higher correlation coefficient, taking two synchronization series of variables, one variable or two variables, at the same time are taken to be logarithmized, of which the method is considered to be classified as a category of "false correlation". For this reason, in this paper, proceeding from the fundamental mathematic principle, some deriation and anglysis has been made for the correlation of variables logarithmization, and it is shown by the results that after logarithmization, the correlation can not be definitely improved It has been proved by some applicable examples in this paper, showing again that after logarithmization the correlation will come down instead, thus, the attention should be paid in order to avoid the 展开更多
关键词 随机变量 对数化 相关系 相关分析 均值 均方差 水文 水资源
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积(幂)问题“对数化”处理方法举例
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作者 庞嘉来 徐双芬 《中学生数理化(高考理化)》 2020年第2期17-17,共1页
解法初探:计算n个正数a1,a2,…,an的积M=a1a2·…·an的结果是很麻烦的,若将等式两边取以b(b>0且b≠1)为底数的对数,则变成logb M=logba1+logba2+…+logban,这样就将一个积的运算转化为和的运算,使运算得以简化。例如,已知... 解法初探:计算n个正数a1,a2,…,an的积M=a1a2·…·an的结果是很麻烦的,若将等式两边取以b(b>0且b≠1)为底数的对数,则变成logb M=logba1+logba2+…+logban,这样就将一个积的运算转化为和的运算,使运算得以简化。例如,已知正数等比数列{an},令bn=logcan,c>0且c≠1,则数列{bn}就是等差数列。这种对“积(幂)的形式”进行“对数化”处理的方法是一个重要的解题手段。 展开更多
关键词 等比数列 等差数列 对数化 方法举例 正数 运算
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双参数化动力学暗能量对中微子质量的影响
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作者 赵欣悦 郭瑞芸 邱佳康 《天文与天体物理》 2024年第3期34-43,共10页
中微子绝对质量的测量和暗能量本质属性的探究是宇宙学前沿的两个重要科学问题。中微子振荡现象表明中微子具有非零质量,KATRIN实验给出的最新结果mν=0.8 eV,宇宙学观测限制测出中微子质量总和的上限为∑mv≤0.1 eV。本文联合不同的主... 中微子绝对质量的测量和暗能量本质属性的探究是宇宙学前沿的两个重要科学问题。中微子振荡现象表明中微子具有非零质量,KATRIN实验给出的最新结果mν=0.8 eV,宇宙学观测限制测出中微子质量总和的上限为∑mv≤0.1 eV。本文联合不同的主流观测数据,包括宇宙微波背景辐射数据、重子声学振荡数据以及Ia型超新星数据,探究两种双参数化动力学暗能量模型中中微子质量的拟合情况。这两种参数化分别为对数形式参数化和振荡形式参数化。相较于Chevallier-Polarski-Linder参数化,它们可以克服状态方程的演化发散问题(z→−1),成功探测暗能量在全宇宙中的演化。我们发现对数形式参数化和振荡形式参数化暗能量增大了中微子质量和的拟合值上限,且扩大限制宇宙学模型的观测数据样本可以压低中微子质量拟合值的上限。 展开更多
关键词 对数形式参数 振荡形式参数 动力学暗能量 中微子质量 观测限制
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非下采样Shearlet变换与参数化对数图像处理相结合的遥感图像增强 被引量:17
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作者 陶飞翔 吴一全 《测绘学报》 EI CSCD 北大核心 2015年第8期884-892,共9页
针对部分遥感图像整体亮度偏暗、对比度较低的特点,为提高遥感图像的视觉效果和可解译性,提出了一种基于非下采样Shearlet变换(non-subsampled shearlet transform,NSST)和参数化对数图像处理(parameterized logarithmic image processi... 针对部分遥感图像整体亮度偏暗、对比度较低的特点,为提高遥感图像的视觉效果和可解译性,提出了一种基于非下采样Shearlet变换(non-subsampled shearlet transform,NSST)和参数化对数图像处理(parameterized logarithmic image processing,PLIP)模型的遥感图像增强方法。首先,遥感图像经非下采样Shearlet变换分解成低频分量和高频分量;然后依据PLIP模型对其低频分量进行增强,提高图像的对比度;同时利用改进的模糊增强方法对高频分量进行增强,突显边缘细节信息。大量试验结果表明,与双向直方图均衡增强、基于平稳小波变换的增强、基于非下采样Contourlet变换的增强等5种图像增强方法相比,本文提出的方法在主观视觉效果和对比度、清晰度等客观定量评价指标两个方面均有优势,能更有效地提高遥感图像的对比度、增强边缘纹理细节信息,视觉效果更佳。 展开更多
关键词 遥感图像 图像增强 非下采样Shea rlet变换(NSST) 参数对数图像处理(PLIP)模型 模糊 增强
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空间螺旋形式及其在建筑参数化设计中的应用初探 被引量:2
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作者 沈源 常清华 《城市建筑》 2013年第19期41-45,共5页
本文从几何学的角度,对阿基米德螺旋线、对数螺旋线和大自然中的"生长序"进行分析和研究,对它们在建筑设计中的运用进行深入的探讨和解读,同时结合清华大学非线性建筑设计教学实践,对运用参数化技术来完成以螺旋线为"空... 本文从几何学的角度,对阿基米德螺旋线、对数螺旋线和大自然中的"生长序"进行分析和研究,对它们在建筑设计中的运用进行深入的探讨和解读,同时结合清华大学非线性建筑设计教学实践,对运用参数化技术来完成以螺旋线为"空间原型"的建筑设计,进行方法的总结与技术的探索。 展开更多
关键词 几何学阿基米德螺旋线对数螺旋线生长序参数设计
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用倒频谱分析纱条条干不匀 被引量:2
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作者 陈跃华 李汝勤 吴军广 《中国纺织大学学报》 CSCD 1991年第2期97-106,共10页
本文用倒频谱分析技术研究了纱条条干不匀结构。从UT-ⅡB型条干均匀度仪取出纱条不匀的电信号送入信号分析仪,构成倒频谱分析的测试系统。通过实验和理论分析可知,用倒频谱分析纱条条干不匀,可以提取出一般波谱图中无法得到的信息,有助... 本文用倒频谱分析技术研究了纱条条干不匀结构。从UT-ⅡB型条干均匀度仪取出纱条不匀的电信号送入信号分析仪,构成倒频谱分析的测试系统。通过实验和理论分析可知,用倒频谱分析纱条条干不匀,可以提取出一般波谱图中无法得到的信息,有助于进一步分析纱条不匀的成因。 展开更多
关键词 纱条 均匀度 对数化倒频谱 功率谱
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河北省人均GDP时间序列的建立与预测 被引量:3
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作者 冯亚丽 《中国商界》 2010年第3期7-8,共2页
本文利用河北省1952年至2008年人均GDP的年度数据,建立了能够有效模拟我省经济时间序列趋势的预测模型。首先针对序列的非平稳特征,对河北省人均GDP变量进行对数化处理,将时间序列的指数趋势转化为线性趋势,然后对序列继续进行一阶差分... 本文利用河北省1952年至2008年人均GDP的年度数据,建立了能够有效模拟我省经济时间序列趋势的预测模型。首先针对序列的非平稳特征,对河北省人均GDP变量进行对数化处理,将时间序列的指数趋势转化为线性趋势,然后对序列继续进行一阶差分处理,变成平稳序列,建立河北省人均GDP时间序列的ARMA模型并对模型进行检验,最后将模型用于河北省人均GDP的预测分析。计算结果表明,该模型能较好地解决河北省人均GDP的估计和预测问题,预测精度较高。 展开更多
关键词 河北省 GDP 经济时间序列 预测模型 非平稳特征 预测问题 预测精度 预测分析 平稳序列 计算结果 差分处理 对数化 1952年 指数 数据 模拟 检验 变量
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人工长白落叶松树冠生物量预测模型 被引量:2
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作者 李晓晶 《林业科技情报》 2020年第4期53-55,共3页
以黑龙江省东京城、林口林业局内10~30年人工长白落叶松为研究对象,分析易测树木因子与树冠生物量的相关关系,建立树冠生物量预估模型。结果表明以胸径(D)为自变量,取对数后得到的线性模型拟合效果较好,独立检验结果也说明该模型预估效... 以黑龙江省东京城、林口林业局内10~30年人工长白落叶松为研究对象,分析易测树木因子与树冠生物量的相关关系,建立树冠生物量预估模型。结果表明以胸径(D)为自变量,取对数后得到的线性模型拟合效果较好,独立检验结果也说明该模型预估效果好,偏差较小。基于所构建的树冠生物量模型,可以通过胸径准确预测该研究区域内相似林分的人工长白落叶松树冠生物量。 展开更多
关键词 长白落叶松 树冠生物量 对数化 预测模型
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Study on the Quantity Dynamic Changes of Heterobacteria and Vibrios in Larvae Industrialized Culture System 被引量:7
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作者 马妍 李健 +2 位作者 王斌 王群 刘淇 《Agricultural Science & Technology》 CAS 2008年第2期116-121,共6页
[ Objective ] The dynamic change of heterobacteria and vibrios in larvae industrialized culture system was studied to provide scientific reference for healthy cultivation of shrimp. [ Method ] The heterobacteria, vibr... [ Objective ] The dynamic change of heterobacteria and vibrios in larvae industrialized culture system was studied to provide scientific reference for healthy cultivation of shrimp. [ Method ] The heterobacteria, vibrios and pathogenic vibrio parahaemolyticus were monitored in larvae industrialized culture system. [ Result] The heterobacteria, vibrios and pathogenic vibrio parahaemolyticus were the most in fertilized eggs of shrimp but the least in nauplius, then their number would increase with growth. During whole rearing period, both boterobacteria in larvae, vibrios in water would increase by one order of magnitude, while both vibrios in larvae and heterobacteria in water would increase by two orders of magnitude. There were many heterobacteria and vibrios but few vibrio parahaemolyticus in living bait. The correlation coefficients between larvae and heterobacteria and vibrios in water were 0. 704 and 0. 840 in culture system respectively, while the correlation among heterobacteria, vibrios in living bait and larvae, water were weak or negative. [ Conclusion ] There was a dynamic relation between water and larvae in rearing period, and restrictly control of culture condition would restrain the occurrence of disease caused by vibrio parahaemolyticus, besides that bacteria number in bait was not obviously correlated with bacteria nubmer in culture system. 展开更多
关键词 Chinese shrimp larvae Heterotrophic bacteria VIBRIO Vibrio parahaemolyticus Dynamic change
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基于参数化对数图像处理模型的光照不均匀图像的边缘检测算法 被引量:15
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作者 刘建思 尹丽菊 +2 位作者 潘金凤 崔玉敏 汤祥裕 《激光与光电子学进展》 CSCD 北大核心 2021年第22期132-141,共10页
由于低照度以及场景光不均匀的环境下图像的成像特点,普通的边缘检测方法无法有效检测出完整清晰的边缘图像。本文结合参数化对数图像处理(PLIP)模型对低亮度图像敏感、处理效果接近人眼视觉观察的结果等优点提出一种新的边缘检测算法... 由于低照度以及场景光不均匀的环境下图像的成像特点,普通的边缘检测方法无法有效检测出完整清晰的边缘图像。本文结合参数化对数图像处理(PLIP)模型对低亮度图像敏感、处理效果接近人眼视觉观察的结果等优点提出一种新的边缘检测算法。首先,利用PLIP模型理论推导出新的梯度算子,然后分析传统Canny算法检测边缘过程的不足并加以改进,并将推导出的新梯度代替了传统Canny算法中的梯度,运用Canny算子的三个最佳边缘检测标准提取图像的边缘。最后,通过对微光实验平台获取的低照度和场景光不均匀环境下的图像进行边缘检测对比验证。实验结果表明,新算法边缘检测的线型连接程度相较于传统Canny算法、Sobel算法和原对数图像处理模型(LIP)算法分别提升了约10%、30%和4%,其检测效果更佳。 展开更多
关键词 图像处理 边缘检测 参数对数图像处理模型 CANNY算法 低照度
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根据原油地质储量的统计学关系分析原油可采储量
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作者 Г.В.维杰尔尼科夫 王成辉 《吐哈油气》 2000年第3期69-71,共3页
根据对乌拉尔-伏尔加河流域长期开采油藏的原油地质储量和可采储量统计资料的分析,推荐一种适合于评价新区可采储量的方法。分析的资料是从俄罗斯油田资源数据库中选取的,共选取了152个含水大于90%的油藏。利用A、B、C<sub>1</... 根据对乌拉尔-伏尔加河流域长期开采油藏的原油地质储量和可采储量统计资料的分析,推荐一种适合于评价新区可采储量的方法。分析的资料是从俄罗斯油田资源数据库中选取的,共选取了152个含水大于90%的油藏。利用A、B、C<sub>1</sub>类原始地质储量Q<sub>HT3</sub>和剩余可采储量的千吨值,在对数座标中进行了计算。 展开更多
关键词 剩余可采储量 原油地质储量 采收率 油藏 关系分析 原始地质储量 统计学 统计分布参数 关系式 对数化
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Simultaneous diagonalization of two quaternion matrices
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作者 周建华 《Journal of Southeast University(English Edition)》 EI CAS 2003年第2期178-181,共4页
The simultaneous diagonalization by congruence of pairs of Hermitian quaternion matrices is discussed. The problem is reduced to a parallel one on complex matrices by using the complex adjoint matrix related to each q... The simultaneous diagonalization by congruence of pairs of Hermitian quaternion matrices is discussed. The problem is reduced to a parallel one on complex matrices by using the complex adjoint matrix related to each quaternion matrix. It is proved that any two semi-positive definite Hermitian quaternion matrices can be simultaneously diagonalized by congruence. 展开更多
关键词 semi-positive definite matrix quaternion matrix adjoint matrix CONGRUENCE
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Optimization of Linear Antenna Arrays Based on Genetic Algorithms
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作者 王宏建 高本庆 刘瑞祥 《Journal of Beijing Institute of Technology》 EI CAS 2002年第2期180-183,共4页
The methods of moment and genetic algorithm (GA) are combined to optimize the Yagi Uda antenna array and Log periodic dipole antenna (LPDA) array. The element lengths and spacing are optimized for the Yagi Uda arra... The methods of moment and genetic algorithm (GA) are combined to optimize the Yagi Uda antenna array and Log periodic dipole antenna (LPDA) array. The element lengths and spacing are optimized for the Yagi Uda array; while the ratio factor of spacing to length as well as the ratio of length to diameter of the elements are optimized for LPDA array. The results show that the main parameters, such as gain and pattern, have been improved apparently; and the high back lobe level of LPDA can be reduced greatly, therefore, GA is a very competent method for optimizing the linear array as well as in other fields. 展开更多
关键词 GAIN front to back ratio genetic algorithm OPTIMIZATION Yagi Uda antenna Log periodic dipole antenna
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Comparison of convective parameterizations in RegCM4 experiments over China with CLM as the land surface model 被引量:36
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作者 GAO Xue-Jie SHI Ying Filippo GIORGI 《Atmospheric and Oceanic Science Letters》 CSCD 2016年第4期246-254,共9页
in the latest version of the international Centre for Theoretical Physics' regional climate model, RegCM4, CLM was introduced as a new land surface scheme. The performance over China of RegCM4-CLM with different conv... in the latest version of the international Centre for Theoretical Physics' regional climate model, RegCM4, CLM was introduced as a new land surface scheme. The performance over China of RegCM4-CLM with different convection schemes is analyzed in this study, based on a series of short- term experiments.The model is driven by ERA-Interim data at a grid spacing of 25 km.The convection schemes employed are: Emanuel; Grell; Emanuel over land and Grell over ocean; Grell over land and Emanuel over ocean; and Tiedtke. The simulated mean surface air temperature and precipitation in December-February-January and June-July-August are compared against observation. In general, better performance of Emanuel is found both for temperature and precipitation, and in both seasons. Thus, the model physics of CLM and Emanuel for the land surface processes and convection, respectively, are recommended for further application of RegCM4 over the China region. The de^ciencies that remain in the model arealso outlined and discussed. 展开更多
关键词 Regional climate model China RegCM4 temperatureprecipitation
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Validation for a tropical belt version of WRF: sensitivity tests on radiation and cumulus convection parameterizations 被引量:1
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作者 SUN Bi-Yun BI Xun-Qiang 《Atmospheric and Oceanic Science Letters》 CSCD 2019年第3期192-200,共9页
Version 3.9 of WRF-ARW is run with a tropical belt configuration for a period from 2012 to 2016 in this study. The domain covers the entire tropics between 45°S and 45°N with a spatial resolution of about 45... Version 3.9 of WRF-ARW is run with a tropical belt configuration for a period from 2012 to 2016 in this study. The domain covers the entire tropics between 45°S and 45°N with a spatial resolution of about 45 km. In order to verify two radiation schemes and four cumulus convection schemes, eight experiments are performed with different combinations of physics parameterization schemes. The results show that eight experiments present reasonable spatial patterns of surface air temperature and precipitation in boreal summer, with the spatial correlation coefficient (COR) between simulated and observed temperature exceeding 0.95, and that between simulated and observed precipitation ranges from 0.65 to 0.82. The four experiments with the RRTMG radiation scheme show a better performance than the other four experiments with the CAM radiation scheme. In the four experiments with the RRTMG radiation scheme, the COR between simulated and observed surface air temperature is about 0.98, and that between simulated and observed precipitation ranges from 0.76 to 0.82. Comparatively, the two experiments using the new Tiedtke cumulus parameterization scheme can simulate better diurnal variation of precipitation in boreal summer than the other six experiments. In particular, for the diurnal cycle of precipitation over land and ocean, the experiment using the RRTMG radiation scheme and the new Tiedtke cumulus convection scheme shows that the peaks of precipitation rate appear at 0400 LST and 1600 LST, in agreement with observation. 展开更多
关键词 WRF model cumulus convection parameterization radiation scheme diurnal cycle of precipitation
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Assessing the sensitivity of RegCM4 to cumulus and ocean surface schemes over the Southeast Asia domain of the coordinated regional climate downscaling experiment 被引量:1
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作者 WANG Zhengqi GAO Xuejie +3 位作者 HAN Zhenyu WU Jia XU Ying JUNENG Liew 《Atmospheric and Oceanic Science Letters》 CSCD 2020年第1期71-79,共9页
Multi-year experiments are conducted using the most recent version of the Abdus Salam International Centre for Theoretical Physics regional climate model RegCM4(version 4.7) to customize its performance over Southeast... Multi-year experiments are conducted using the most recent version of the Abdus Salam International Centre for Theoretical Physics regional climate model RegCM4(version 4.7) to customize its performance over Southeast Asia - a region with few RCMs applied to date. The model is driven by ERA-Interim reanalysis data at a grid spacing of 25 km using the CORDEX(Coordinated Regional Climate Downscaling Experiment) Southeast Asia domain. The authors focus on comparing the convection schemes of Emanuel and Tiedtke(Tiedtke-1) and Tiedtke with effects of sea surface evaporation introduced(Tiedtke-2). The authors find that, for temperature over land, the model shows reasonable performance in reproducing the present-day climatology in both December–January–February(DJF) and June–July–August(JJA) in all the experiments. Meanwhile, cold biases prevail in both seasons, although portions of warm bias exist in DJF. For precipitation, the spatial pattern and amount, as well as seasonal evolution, are in general reproduced well in the experiments.Better performances of Tiedtke-1 and Tiedtke-2 are evident compared to Emanuel, particularly over ocean. Thereby, the optimal configuration of Reg CM4.7 for future climate change simulations over the region is identified as using the Tiedtke scheme with spray effects considered, along with the default settings for other physical parameterizations. 展开更多
关键词 REGCM coordinated regional climate downscaling experiment convective scheme Southeast Asia
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A Method for Improving Simulation of PNA Teleconnection Interannual Variation in a Climate Model 被引量:2
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作者 LI Zhong-Xian ZHOU Tian-Jun +2 位作者 SUN Zhao-Bo CHEN Hai-Shan NI Dong-Hong 《Atmospheric and Oceanic Science Letters》 2011年第2期86-90,共5页
The climate modeling community has been challenged to develop a method for improving the simulation of the Pacific-North America (PNA) teleconnection pattern in climate models. The accuracy of PNA teleconnection sim... The climate modeling community has been challenged to develop a method for improving the simulation of the Pacific-North America (PNA) teleconnection pattern in climate models. The accuracy of PNA teleconnection simulation is significantly improved by considering mesoscale convection contributions to sea surface fluxes. The variation in the PNA over the past 22 years was simulated by the Grid Atmospheric Model of lAP LASG version 1.0 (GAMIL1.0), which was guided by observational SST from January 1979 to December 2000. Results show that heating in the tropical central-eastern Pacific is simulated more realistically, and sea surface latent heat flux and precipitation anomalies are more similar to the reanalysis data when mesoscale enhancement is considered during the parameterization scheme of sea surface turbulent fluxes in GAMIL1.0. Realistic heating in the tropical central-eastern Pacific in turn significantly improves the simulation of interannual variation and spatial patterns of PNA. 展开更多
关键词 sea surface turbulent flux parameterization PNA climate simulation
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Hamiltonian Systems and Darboux Transformation Associated with a 3 × 3 Matrix Spectral Problem 被引量:1
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作者 LUO Lin FAN En-Gui 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第2X期205-210,共6页
Starting from a 3 × 3 matrix spectral problem, we derive a hierarchy of nonlinear equations. It is shown that the hierarchy possesses bi-Hamiltonian structure. Under the symmetry constraints between the potential... Starting from a 3 × 3 matrix spectral problem, we derive a hierarchy of nonlinear equations. It is shown that the hierarchy possesses bi-Hamiltonian structure. Under the symmetry constraints between the potentials and the eigenfunctions, Lax pair and adjoint Lax pairs including partial part and temporal part are nonlinearied into two finitedimensional Hamiltonian systems (FDHS) in Liouville sense. Moreover, an explicit N-fold Darboux transformation for CDNS equation is constructed with the help of a gauge transformation of the spectral problem. 展开更多
关键词 nonlinear equations Hamiltonian system symmetry constraint Darboux transformation
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