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三角函数背景下导数命题赏析 被引量:1
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作者 葛小萍 《中学数学(高中版)》 2016年第10期33-34,共2页
以三角函数为背景综合考查导数的应用是近年高考命题的一个新的亮点,问题的求解中除了导数的基本运算外,还要充分结合三角函数的基本性质和运算.下面引例说明.
关键词 下导数 判断函数 恒成立 变式 切线方程 奇偶性 高考命题 直线的斜率 已知函数 几何意义
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含有上下导数的广义Cauchy中值定理及其逆定理
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作者 邱德华 《衡阳师专学报》 1996年第6期25-28,共4页
证明了含右上、右下、左上、左下导数的广义Cauchy中值定理及其逆定理。
关键词 柯西中值定理 导数 下导数 逆定理
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非光滑半无限多目标优化的高阶KKT最优性充分条件
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作者 曹琪 冯敏 《应用数学和力学》 CSCD 北大核心 2024年第4期502-508,共7页
考虑了一类非光滑半无限多目标优化问题.利用高阶Studniarski下导数,得到了问题的严格局部有效解的高阶弱KKT最优性充分条件.进一步地,若假设该最优性条件中目标函数相关的乘子均大于零,则得到严格局部Borwein真有效解的高阶强KKT充分条... 考虑了一类非光滑半无限多目标优化问题.利用高阶Studniarski下导数,得到了问题的严格局部有效解的高阶弱KKT最优性充分条件.进一步地,若假设该最优性条件中目标函数相关的乘子均大于零,则得到严格局部Borwein真有效解的高阶强KKT充分条件.这些充分条件适用于处理无任何凸性假设下的问题. 展开更多
关键词 半无限多目标优化 高阶Studniarski下导数 高阶KKT充分条件
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新课标下导数中常见的恒成立问题
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作者 胡宗兴 《中学生数理化(教与学)》 2012年第7期96-96,共1页
一、不等式的恒成立问题不等式恒成立问题,一般都会涉及求参数范围,往往把变量分离后可以转化为以下两种:思路1:若m≥f(x)在x∈D上恒成立,则m≥[f(x)]max.思路2:若m≤f(x)在x∈D上恒成立,则m≤[f(x)]min.
关键词 恒成立 下导数 单调区间 新课标
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两类变分不等式问题解集的性质
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作者 陈政敏 王娟 《重庆文理学院学报(自然科学版)》 2011年第2期14-16,共3页
利用狄尼下导数,构造了一类关于Stampacchia变分不等式的间隙函数,并在此基础上对Stampacchia变分不等式和Minty变分不等式问题的解集的性质进行讨论,给出了一些重要的结论.
关键词 狄尼下导数 变分不等式问题 间隙函数 方向连续
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一类变分不等式问题解集的刻画 被引量:1
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作者 王岗 刘学文 +1 位作者 姜艮 吴传平 《江西师范大学学报(自然科学版)》 CAS 北大核心 2011年第4期388-390,共3页
利用狄尼下导数构造了一类关于Minty变分不等式的间隙函数,并在此基础上对Stampacchia变分不等式和Minty变分不等式问题的解集进行了简单的刻画.最后在函数f伪凸和狄尼下导数伪单调的假设下,证明了Stampacchia变分不等式问题的解集的相... 利用狄尼下导数构造了一类关于Minty变分不等式的间隙函数,并在此基础上对Stampacchia变分不等式和Minty变分不等式问题的解集进行了简单的刻画.最后在函数f伪凸和狄尼下导数伪单调的假设下,证明了Stampacchia变分不等式问题的解集的相关特征性质. 展开更多
关键词 狄尼下导数 变分不等式问题 间隙函数 伪单调
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Navigation system of a class of underwater vehicle based on adaptive unscented Kalman fiter algorithm 被引量:10
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作者 刘开周 李静 +2 位作者 郭威 祝普强 王晓辉 《Journal of Central South University》 SCIE EI CAS 2014年第2期550-557,共8页
Inherent flaws in the extended Kalman filter(EKF) algorithm were pointed out and unscented Kalman filter(UKF) was put forward as an alternative.Furthermore,a novel adaptive unscented Kalman filter(AUKF) based on innov... Inherent flaws in the extended Kalman filter(EKF) algorithm were pointed out and unscented Kalman filter(UKF) was put forward as an alternative.Furthermore,a novel adaptive unscented Kalman filter(AUKF) based on innovation was developed.The three data-fusing approaches were analyzed and evaluated in a mathematically rigorous way.Field experiments conducted in lake further demonstrate that AUKF reduces the position error approximately by 65% compared with EKF and by 35% UKF and improves the robust performance. 展开更多
关键词 human occupied vehicle NAVIGATION extended Kalman filter unscented Kalman filter adaptive unscented Kalman filter
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Chloride transport and its sensitivities to different boundary conditions in reclaimed soil solutions filled with fly ash
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作者 Xiao-Yang CHEN Jia-Ping YAN Shi-Wen ZHANG 《Journal of Coal Science & Engineering(China)》 2013年第2期249-255,共7页
Chloride ion transport in reclaimed soil solutions filled with fly ash (FA) was investigated by measuring the hydraulic parameters (i,e. water retention curves and hydraulic conductivity) of three substrates, name... Chloride ion transport in reclaimed soil solutions filled with fly ash (FA) was investigated by measuring the hydraulic parameters (i,e. water retention curves and hydraulic conductivity) of three substrates, namely GSL, GFA, and CFA. Similar simulations were carried out under certain weather conditions. The different boundary conditions of chloride transport were also discussed from FA texture, cover soil thickness, groundwater table level, and initial chloride concentration. Furthermore, the sensitivities of chloride ions to these effect factors were analyzed. The results show that the different top soil thickness and initial chloride concentration have no effect on salinity of topsoil solution in the monitoring points, but they can clearly change the chloride concentration of FA layers. The sensibilities from top soil thickness and initial chloride content are exceedingly weak to the salinity balance based on two dimensions of the time and concentration. While the different FA texture and groundwater table not only affect the salinity equilibrium process of the whole reclaimed soil profile, but also change its balance state. Generally, coarse FA particles and high groundwater table can defer the salinity balance process of the reclaimed soil solution, and they also increase the chloride concentration of FA layer solutions, and even topsoil ones. 展开更多
关键词 chloride ion transport reclaimed soil fly ash boundary condition sensitivity
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