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由Hermite-Hadamard不等式的一个推广形式所生成的不等式
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作者 时统业 董芳芳 《湖南理工学院学报(自然科学版)》 CAS 2024年第1期1-6,共6页
考虑由一个推广的Hermite-Hadamard不等式的右边部分的连续加细所生成的两个差函数.引入参数求最值的方法,在Lipschitz条件下给出了关于这两个差函数的不等式.
关键词 hermite-Hadamard型不等式 LIPSCHITZ条件 凸函数 加强
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预不变凸函数的q-Hermite-Hadamard型不等式和广义的q-Iyengar型不等式
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作者 时统业 曾志红 曹俊飞 《汕头大学学报(自然科学版)》 2024年第4期24-32,共9页
研究量子积分的Hermite-Hadamard型不等式和Iyengar型不等式,首先建立带有一个参数的量子积分恒等式,然后用引入参数求最值的方法,建立了量子积分的广义的Iyengar型不等式;在一阶量子导数的绝对值是预不变凸函数的情形下,建立了量子积分... 研究量子积分的Hermite-Hadamard型不等式和Iyengar型不等式,首先建立带有一个参数的量子积分恒等式,然后用引入参数求最值的方法,建立了量子积分的广义的Iyengar型不等式;在一阶量子导数的绝对值是预不变凸函数的情形下,建立了量子积分的Hermite-Hadamard型不等式. 展开更多
关键词 Iyengar型不等式 hermite-Hadamard型不等式 量子积分 预不变凸函数
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基坑开挖引起下卧隧道竖向变形的Hermite谱分析方法 被引量:1
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作者 黄明华 胡正刚 +2 位作者 周钲霖 周苏华 谭鑫 《安全与环境学报》 CAS CSCD 北大核心 2024年第2期488-495,共8页
针对基坑开挖引起下卧隧道的竖向变形问题,通过引入Hermite函数,建立基坑开挖所引起土体附加应力及下卧隧道竖向变形的Hermite谱分析方法。基于Mindlin解答与Pasternak地基上的Euler-Bernoulli梁理论,建立了基坑开挖所引起土体附加应力... 针对基坑开挖引起下卧隧道的竖向变形问题,通过引入Hermite函数,建立基坑开挖所引起土体附加应力及下卧隧道竖向变形的Hermite谱分析方法。基于Mindlin解答与Pasternak地基上的Euler-Bernoulli梁理论,建立了基坑开挖所引起土体附加应力的计算表达式与下卧隧道竖向变形的控制方程,并采用有限项Hermite级数展开,将下卧隧道竖向变形控制方程转化为线性代数系统进行求解,获得其竖向变形解答;在此基础上,结合工程案例,验证所建立解答的收敛性与可靠性,并探讨隧道埋深、隧道与基坑水平距离及基坑平面尺寸对下卧隧道竖向变形特性的影响。结果表明:随着隧道埋深及隧道与基坑水平距离的增加,基坑开挖对下卧隧道竖向变形的影响逐渐降低,下卧隧道的竖向位移逐渐变小;基坑开挖水平尺寸的增大会使下卧隧道竖向变形增大,且平行隧道方向的尺寸变化,影响更为明显。研究成果为分析基坑开挖所引起的下卧隧道竖向变形特性提供了一种新的计算方法。 展开更多
关键词 安全工程 下卧隧道 竖向变形 基坑开挖 hermite谱方法
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基于改进分段三次Hermite插值的机床复合误差建模与补偿
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作者 孙光明 张大卫 +1 位作者 孙铭泽 李志军 《天津理工大学学报》 2024年第3期9-16,共8页
为降低精密卧式加工中心几何误差与热误差而产生的复合误差,文中提出一种基于改进分段三次Hermite插值(improved piecewise cubic Hermite interpolation, IPCHI)算法的复合误差建模方法。为建立复合误差模型,在JIG630精密卧式加工中心... 为降低精密卧式加工中心几何误差与热误差而产生的复合误差,文中提出一种基于改进分段三次Hermite插值(improved piecewise cubic Hermite interpolation, IPCHI)算法的复合误差建模方法。为建立复合误差模型,在JIG630精密卧式加工中心上开展试验,采用温度传感器和激光干涉仪分别获取机床温度值和定位误差分析整个温升过程中的误差数据,总结误差分布规律,运用IPCHI算法识别并建立几何误差和热误差的数学模型。运用复合误差模型进行补偿实验,精密卧式加工中心常温下的最大定位误差从-10.1μm降至2.3μm,补偿77%;温升之后定位误差从-19.8μm降至2.6μm,补偿87%,验证了IPCHI模型在实际误差补偿中具有明显的补偿效果。 展开更多
关键词 精密卧式加工中心 改进分段三次hermite插值 误差建模 误差补偿
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Quasi-Hermite插值在一重积分Wiener空间的平均误差
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作者 曹莉 马海腾 +1 位作者 杨巧玲 许贵桥 《内蒙古大学学报(自然科学版)》 CAS 2024年第5期449-458,共10页
在一重积分Wiener空间下确定了一种Quasi-Hermite插值多项式算子列在加权L_(p)-范数逼近意义下的L_(p)-平均误差的弱渐近阶。结果显示从信息基复杂性的角度来看,如果选取Hermite数据作为可允许的信息泛函,那么这种多项式插值算子列的p-... 在一重积分Wiener空间下确定了一种Quasi-Hermite插值多项式算子列在加权L_(p)-范数逼近意义下的L_(p)-平均误差的弱渐近阶。结果显示从信息基复杂性的角度来看,如果选取Hermite数据作为可允许的信息泛函,那么这种多项式插值算子列的p-平均误差弱等价于相应的最小非自适应信息p-平均半径。 展开更多
关键词 Quasi-hermite插值 一重积分Wiener空间 平均误差 L_(p)-范数
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Errata regarding missing Ethical Statements in previously published articles:Part 3
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《Journal of Integrative Agriculture》 SCIE CAS CSCD 2024年第2期737-737,共1页
Ethical statements were not included in the published version of the following articles that appeared in previous issues of Journal of Integrative Agriculture.The appropriate statements provided by the Authors are inc... Ethical statements were not included in the published version of the following articles that appeared in previous issues of Journal of Integrative Agriculture.The appropriate statements provided by the Authors are included below. 展开更多
关键词 statements ETHICAL MISSING
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Errata regarding missing Ethical Statements in previously published articles:Part 2
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《Journal of Integrative Agriculture》 SCIE CAS CSCD 2024年第2期736-736,共1页
Ethical statements were not included in the published version of the following articles that appeared in previous issues of Journal of Integrative Agriculture.The appropriate statements provided by the Authors are inc... Ethical statements were not included in the published version of the following articles that appeared in previous issues of Journal of Integrative Agriculture.The appropriate statements provided by the Authors are included below. 展开更多
关键词 statements ETHICAL MISSING
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Errata regarding missing Ethical Statements in previously published articles:Part 4
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《Journal of Integrative Agriculture》 SCIE CAS CSCD 2024年第2期738-738,共1页
Ethical statements were not included in the published version of the following articles that appeared in previous issues of Journal of Integrative Agriculture.The appropriate statements provided by the Authors are inc... Ethical statements were not included in the published version of the following articles that appeared in previous issues of Journal of Integrative Agriculture.The appropriate statements provided by the Authors are included below. 展开更多
关键词 statements ETHICAL MISSING
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基于Hermite插值的仿真动态成像平滑过渡设计
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作者 陈创 蒲鑫 +1 位作者 李昂轩 陶光辉 《吉林大学学报(信息科学版)》 CAS 2024年第3期522-530,共9页
针对实现与真实硬件一致的仿真效果的需求,提出了一种平滑过渡方法,旨在改善整个仿真系统的成像效果。通过对视觉暂留效应和系统成像延迟进行分析,采用两点三次Hermite插值法,分别处理平滑过渡时间和成像颜色。通过对比实验验证,结果表... 针对实现与真实硬件一致的仿真效果的需求,提出了一种平滑过渡方法,旨在改善整个仿真系统的成像效果。通过对视觉暂留效应和系统成像延迟进行分析,采用两点三次Hermite插值法,分别处理平滑过渡时间和成像颜色。通过对比实验验证,结果表明该方法能使整个仿真系统的成像自适应平滑,解决了实时动态成像闪烁和不稳定的问题。实验结果表明,该方法提升了嵌入式微控制器的虚拟3D仿真实验系统的成像质量,能改善嵌入式微控制器三维仿真的视觉效果,并减轻突变和伪影等的影响,表明嵌入式微控制器的虚拟3D仿真实验系统在教育和设计领域的重要应用价值。 展开更多
关键词 平滑过渡 嵌入式微控制器 3D仿真 视觉暂留 成像延迟 hermitE插值
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Errata regarding missing Ethical Statements in previously published articles:Part 1
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《Journal of Integrative Agriculture》 SCIE CAS CSCD 2024年第2期735-735,共1页
Ethical statements were not included in the published version of the following articles that appeared in previous issues of Journal of Integrative Agriculture.The appropriate statements provided by the Authors are inc... Ethical statements were not included in the published version of the following articles that appeared in previous issues of Journal of Integrative Agriculture.The appropriate statements provided by the Authors are included below. 展开更多
关键词 statements ETHICAL MISSING
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Errata regarding missing Ethical Statements in previously published articles:Part 5
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《Journal of Integrative Agriculture》 SCIE CAS CSCD 2024年第2期739-739,共1页
Ethical statements were not included in the published version of the following articles that appeared in previous issues of Journal of Integrative Agriculture.The appropriate statements provided by the Authors are inc... Ethical statements were not included in the published version of the following articles that appeared in previous issues of Journal of Integrative Agriculture.The appropriate statements provided by the Authors are included below. 展开更多
关键词 statements ETHICAL MISSING
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Two innovative equivalent statements of the third law of thermodynamics
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作者 陈晓航 周颖慧 陈金灿 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第6期324-328,共5页
It is found from textbooks and literature that there are three different statements for the third law of thermodynamics,i.e., the Nernst theorem, the unattainability statement of absolute zero temperature, and the hea... It is found from textbooks and literature that there are three different statements for the third law of thermodynamics,i.e., the Nernst theorem, the unattainability statement of absolute zero temperature, and the heat capacity statement. It is pointed out that such three statements correspond to three thermodynamic parameters, which are, respectively, the entropy,temperature, and heat capacity, and can be obtained by extrapolating the experimental results of different parameters at ultralow temperatures to absolute zero. It is expounded that because there is no need for additional assumptions in the derivation of the Nernst equation, the Nernst theorem should be renamed as the Nernst statement. Moreover, it is proved that both the Nernst statement and the heat capacity statement are mutually deducible and equivalent, while the unattainability of absolute zero temperature is only a corollary of the Nernst statement or the heat capacity statement so that it is unsuitably referred to as one statement of the third law of thermodynamics. The conclusion is that the Nernst statement and the heat capacity statement are two equivalent statements of the third law of thermodynamics. 展开更多
关键词 Nernst statement heat capacity statement Nernst theorem absolute zero temperature the third law of thermodynamics
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Corrigendum Regarding Missing Ethics Approval Statements in Previously Published Articles
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《Grain & Oil Science and Technology》 CAS 2024年第1期69-69,共1页
The publisher would like to draw the reader's attention to the following errors.Ethics approval statements were not included in the published version of the following articles that appeared in previous issues of G... The publisher would like to draw the reader's attention to the following errors.Ethics approval statements were not included in the published version of the following articles that appeared in previous issues of Grain&Oil Science and Technology.The authors were contacted after publication to request ethical approval statements for the following articles. 展开更多
关键词 APPROVAL statements REQUEST
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Erratum regarding Declaration of Competing Interest statements in previously published articles
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《Materials Reports(Energy)》 EI 2024年第1期123-124,共2页
Declaration of Competing Interest statements were incorrectly included in the published version of the following articles that appeared in previous issues of Materials Reports:Energy.The appropriate Declaration of Com... Declaration of Competing Interest statements were incorrectly included in the published version of the following articles that appeared in previous issues of Materials Reports:Energy.The appropriate Declaration of Competing Interest statements,provided by the authors,are included below. 展开更多
关键词 statements RATION SHE
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Seasonal changes in Hermit Thrush (Catharus guttatus) song syntax
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作者 Sean P.Roach Luke C.McLean +1 位作者 Jeff W.MacLeod Leslie S.Phillmore 《Avian Research》 SCIE CSCD 2024年第2期172-179,共8页
In many songbird species,birdsong features phonological syntax,meaning that the units within their vocal se-quences are ordered in a non-random way that adheres to a rule.While such syntactical patterns have been rich... In many songbird species,birdsong features phonological syntax,meaning that the units within their vocal se-quences are ordered in a non-random way that adheres to a rule.While such syntactical patterns have been richly described in many species,comparatively little is known about how those patterns contribute to song achieving its important functions.For each of song’s main functions,territorial defense and mate attraction,evidence of a role for syntax is limited.One species for which syntax has been thoroughly described is the Hermit Thrush(Catharus guttatus),which presents song types from their repertoires in a semi-predictable order and,in doing so,rapidly cycle up and down the frequency spectrum.The objective of the present study was to explore the importance of song syntax in the Hermit Thrush through a within-subject examination of how measures of syntax,such as the predictability of song type order within song sequences,shift over the breeding season.We hypothesized that,if such syntactical characteristics are important to breeding behaviour,they would be most prominent at the start of the breeding season when activity associated with territory establishment and mate attraction is most intense.Analysis revealed that,as predicted,the rigidness of song type ordering within se-quences was highest at the start of the season and declined thereafter.That song type sequences were most predictable at the vitally important early part of the breeding season fit our hypothesis that this aspect of song syntax is important to song’s functions related to territory establishment and/or mate attraction.Future work will clarify whether that role relates to one of song’s two main functions or serves song transmission in some broader way. 展开更多
关键词 BIRDSONG hermit Thrush Seasonal change STEREOTYPY SYNTAX
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实对称矩阵与Hermite矩阵符号分类的特征多项式法
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作者 田代军 周泽华 《大学数学》 2024年第1期96-98,共3页
给出了直接用特征多项式判别实对称矩阵与Hermite矩阵的符号分类的方法.
关键词 实对称矩阵 hermitE矩阵 符号分类 惯性指数 特征多项式
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Science Societies’ Climate Statements: Some Concerns
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作者 Wallace Manheimer 《Open Journal of Applied Sciences》 2024年第6期1573-1603,共31页
The assertion that a climate crisis is rapidly approaching due to excess carbon dioxide (CO2) in the atmosphere is said to be based on science. This science is summarized in the statements of the major scientific soci... The assertion that a climate crisis is rapidly approaching due to excess carbon dioxide (CO2) in the atmosphere is said to be based on science. This science is summarized in the statements of the major scientific societies. These statements, have motivated, governments, the media, and much of the public to commit to abandoning fossil, i.e. going to “net zero” at some time in the not-so-distant future, perhaps by 2050, 26 years from now. The claims of these scientific societies clearly have a profound impact on the government, the media and the public, and therefore the scientific basis for these claims needs to be frequently and rigorously reexamined by the societies, and scrutinized by the public. This paper illustrates some serious concerns regarding the claims of these societies. It is not difficult to question these claims by comparing them with actual data from well-established organizations such as NOAA and NASA. Furthermore, the claims seem to go against such well-established scientific laws as the Stefan Boltzman radiation law, and le Chatelier’s principle. If the statements of the societies overstate the danger, or are even incorrect, they may be motivating the United States, the western world, or even the whole world to make an enormously expensive and unnecessary transition to an energy infrastructure that is more expensive, less reliable, and more environmentally damaging than the one we have today. This article suggests that these scientific societies reexamine their climate statements with the goal of making them more moderate and more scientifically correct. 展开更多
关键词 APS Climate statement ACS Climate statement AGU Climate statement AMETS Climate statement
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二阶q_(a)-可微凸函数的Hermite-Hadamard型积分不等式
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作者 刘晨璇 王淑红 《内蒙古民族大学学报(自然科学版)》 2024年第1期49-54,共6页
基于q_(a)-导数和q_(a)-积分,对二阶q_(a)-可微凸函数的Hermite-Hadamard型积分不等式进行了研究。分析二阶q_(a)-导数的特点,寻找二阶q_(a)-导数和q_(a)-积分之间的联系,建立了二阶q_(a)-可微函数的积分恒等式。利用该积分恒等式和函... 基于q_(a)-导数和q_(a)-积分,对二阶q_(a)-可微凸函数的Hermite-Hadamard型积分不等式进行了研究。分析二阶q_(a)-导数的特点,寻找二阶q_(a)-导数和q_(a)-积分之间的联系,建立了二阶q_(a)-可微函数的积分恒等式。利用该积分恒等式和函数的凸性,将被积函数进行巧妙分解,结合三角不等式和Hölder不等式等经典不等式,给出了二阶q_(a)-可微凸函数的Hermite-Hadamard型积分不等式的不同的右端估计。 展开更多
关键词 凸函数 hermitE-HADAMARD不等式 q_(a)-导数 q_(a)-积分
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Hermite Finite Element Method for Vibration Problem of Euler-Bernoulli Beam on Viscoelastic Pasternak Foundation
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作者 Pengfei Ji Zhe Yin 《Engineering(科研)》 2024年第10期337-352,共16页
Viscoelastic foundation plays a very important role in civil engineering. It can effectively disperse the structural load into the foundation soil and avoid the damage caused by the concentrated load. The model of Eul... Viscoelastic foundation plays a very important role in civil engineering. It can effectively disperse the structural load into the foundation soil and avoid the damage caused by the concentrated load. The model of Euler-Bernoulli beam on viscoelastic Pasternak foundation can be used to analyze the deformation and response of buildings under complex geological conditions. In this paper, we use Hermite finite element method to get the numerical approximation scheme for the vibration equation of viscoelastic Pasternak foundation beam. Convergence and error estimation are rigourously established. We prove that the fully discrete scheme has convergence order O(τ2+h4), where τis time step size and his space step size. Finally, we give four numerical examples to verify the validity of theoretical analysis. 展开更多
关键词 Viscoelastic Pasternak Foundation Beam Vibration Equation hermite Finite Element Method Error Estimation Numerical Simulation
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基于深度学习的Hermite-Gaussian光束模式分析方法研究
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作者 张杰辉 白振旭 +2 位作者 安嘉硕 王雨雷 吕志伟 《河北工业大学学报》 CAS 2024年第5期13-21,共9页
提出了一种基于深度学习的Hermite-Gaussian(HG)光束模式分解方案,利用仿真生成的具有多个模式的模拟样本训练卷积神经网络,并通过训练好的模式识别网络采用迁移学习技术加速模式分解网络的训练过程。通过单次发射的强度图像,训练后的... 提出了一种基于深度学习的Hermite-Gaussian(HG)光束模式分解方案,利用仿真生成的具有多个模式的模拟样本训练卷积神经网络,并通过训练好的模式识别网络采用迁移学习技术加速模式分解网络的训练过程。通过单次发射的强度图像,训练后的神经网络能够对四模以内所有模式的HG光束实现高效准确的模式分解,获取HG光束的模式振幅和相位信息。实验结果表明,该方法在不同模式数量的识别和分解任务中均表现出较高的精度和稳定性,有望在光通信、光学成像、激光加工等领域得到广泛应用。 展开更多
关键词 深度学习 hermite-Gaussian光束 模式分解 迁移学习 模式识别
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