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A dynamic soil freezing characteristic curve model for frozen soil
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作者 Xiaokang Li Xu Li Jiankun Liu 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2024年第8期3339-3352,共14页
The soil freezing characteristic curve(SFCC)plays a fundamental role in comprehending thermohydraulic behavior and numerical simulation of frozen soil.This study proposes a dynamic model to uniformly express SFCCs ami... The soil freezing characteristic curve(SFCC)plays a fundamental role in comprehending thermohydraulic behavior and numerical simulation of frozen soil.This study proposes a dynamic model to uniformly express SFCCs amidst varying total water contents throughout the freezing-thawing process.Firstly,a general model is proposed,wherein the unfrozen water content at arbitrary temperature is determined as the lesser of the current total water content and the reference value derived from saturated SFCC.The dynamic performance of this model is verified through test data.Subsequently,in accordance with electric double layer(EDL)theory,the theoretical residual and minimum temperatures in SFCC are calculated to be-14.5℃to-20℃for clay particles and-260℃,respectively.To ensure that the SFCC curve ends at minimum temperature,a correction function is introduced into the general model.Furthermore,a simplified dynamic model is proposed and investigated,necessitating only three parameters inherited from the general model.Additionally,both general and simplified models are evaluated based on a test database and proven to fit the test data exactly across the entire temperature range.Typical recommended parameter values for various types of soils are summarized.Overall,this study provides not only a theoretical basis for most empirical equations but also proposes a new and more general equation to describe the SFCC. 展开更多
关键词 Frozen soils Unsaturated soils Soil freezing characteristic curve(SFCC) Mathematic models
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Experimental research and numerical simulation of the multi-field performance of cemented paste backfill:Review and future perspectives 被引量:7
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作者 Yong Wang Zhenqi Wang +4 位作者 Aixiang Wu Liang Wang Qing Na Chen Cao Gangfeng Yang 《International Journal of Minerals,Metallurgy and Materials》 SCIE EI CAS CSCD 2023年第2期193-208,共16页
Cemented paste backfill(CPB)technology is a green mining method used to control underground goaves and tailings ponds.The curing process of CPB in the stope is the product of a thermo-hydro-mechanical-chemical multi-f... Cemented paste backfill(CPB)technology is a green mining method used to control underground goaves and tailings ponds.The curing process of CPB in the stope is the product of a thermo-hydro-mechanical-chemical multi-field performance interaction.At present,research on the multi-field performance of CPB mainly includes indoor similar simulation experiments,in-situ multi-field performance monitoring experiments,multi-field performance coupling model construction of CPB,and numerical simulation of the multi-field performance of CPB.Because it is hard to study the in-situ multi-field performance of CPB in the real stope,most current research on in-situ multi-field performance adopts the numerical simulation method.By simulating the conditions of CPB in the real stope(e.g.,maintenance environment,stope geometry,drainage conditions,and barricade and backfilling rates),the multi-field performance of CPB is further studied.This paper summarizes the mathematical models employed in the numerical simulation and lists the engineering application cases of numerical simulation in the in-situ multi-field performance of CPB.Finally,it proposes that the multi-field performance of CPB needs to strengthen the theoretical study of multi-field performance,form the strength design criterion based on the multi-field performance of CPB,perform a full-range numerical simulation of the multi-field performance of CPB,develop a pre-warning technology for the CPB safety of CPB,develop automatic and wireless sensors for the multi-field performance monitoring of CPB,and realize the application and popularization of CPB monitoring technology. 展开更多
关键词 cemented paste backfill multi-field performance in situ mathematic model numerical simulation
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Optimization of Extraction Process of Polyphenols from Chrysanthemum morifolium and the Development of Chrysanthemum Rice Wine
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作者 Weiyi CHEN Yufeng ZHANG +5 位作者 Zoukai HUANG Ruyi ZHENG Caiyun HUANG Xunjian CHEN Yuhan FU Weixin WANG 《Agricultural Biotechnology》 CAS 2023年第5期62-66,74,共6页
[Objectives]This study was conducted to provide a theoretical basis for the extraction and comprehensive utilization of functional active components of Chrysanthemum morifolium polyphenols.[Methods]With C.morifolium a... [Objectives]This study was conducted to provide a theoretical basis for the extraction and comprehensive utilization of functional active components of Chrysanthemum morifolium polyphenols.[Methods]With C.morifolium as a raw material,polyphenols were extracted by water extraction.The extraction process of polyphenols were optimized by single factor tests on solid-liquid ratio,extracting time and times.Old rice wine selected as the base wine was added with C.morifolium polyphenol extract,honey,citric acid and other auxiliary materials to prepare a kind of chrysanthemum old rice wine.Through sensory analysis combined with fuzzy mathematics comprehensive evaluation method,the optimal formula of chrysanthemum old rice wine was determined,and the corresponding physicochemical indicators of the obtained chrysanthemum old rice wine were tested.[Results]The optimal soaking process for C.morifolium was as follows:extraction time of 20 min,a solid-liquid ratio of C.morifolium to warm water at 1:40,extraction times of 3 times.The physical and chemical indicators of the chrysanthemum wine obtained from the above optimal formula were as follows:sugar content 5%,ethanol content 11%,and pH value 4.04.The chrysanthemum old rice wine obtained was clear and transparent,and the fragrance of chrysanthemum was coordinated with the mellow aroma of rice wine.The taste was refreshing and suitable for the vast majority of people to drink.[Conclusions]The new type of chrysanthemum old rice wine combines the polyphenolic active substances in C.morifolium with the low ethanol content of old rice wine,which not only improves the utilization rate of C.morifolium,but also strengthens the health function of old rice wine products,improves the quality of old rice wine,and promotes the healthy and rapid development of the old rice wine industry. 展开更多
关键词 POLYPHENOL Chrysanthemum morifolium Forest phenol Fuzzy mathematic analysis Chrysanthemum old rice wine
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Research on Yield and Quality of Hybrid Rice under Efficient Application Amount of Phosphorus and Potassium 被引量:3
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作者 熊洪 徐富贤 +4 位作者 朱永川 张林 郭晓艺 刘茂 周兴兵 《Agricultural Science & Technology》 CAS 2012年第2期343-350,共8页
[Objective] Application of P and K was not reasonable in southwest rice producing area, with no effective method for guiding application of P and K. This study aimed to conduct experiments with the same N application ... [Objective] Application of P and K was not reasonable in southwest rice producing area, with no effective method for guiding application of P and K. This study aimed to conduct experiments with the same N application and different P and K application in different ecological points, to explore a scientific and efficient management method of P and K nutrients and provide guidance for application of P and K in rice production. [Method] Hybrid rice Chuanxiang9838 was used as experimental material to study the relationship among application amount of P and K, utilization rates of P and K, rice yield and rice quality in seven ecological points of four provinces (municipalities) including Sichuan, Chongqing, Yunnan and Guizhou. The application amount per hectare of P was 37.5, 75, 112.5 and 150 kg, respectively; the application amount per hectare of K was 45, 135 and 180 kg, respectively. A total of 10 treatments were set for split-plot design with three replications. [Result] Yield of Chuanxiang9838 significantly varied in different experimental locations and under different levels of P and K, interaction of ecological point and different P and K treatments varied significantly. Yield had reached the maximum in ecological point of Yunnan Binchuan and in treatment with application of N 150 kg P 75 kg K 90 kg. Efficient utilization rates of P and K varied in each ecological point, efficient application amount of P and K in Sichuan Dongpo, Sichuan Luxian, Guizhou Xiaohe and Chongqing Yongchuan was the same, while that in Sichuan Guanghan, Sichuan Zhongjiang and Yunnan Binchuan was different. The main objective of high-yield rice production was to increase the number of effective panicles per hectare and seed setting rate. Rice quality was clustered into 2 categories by locations and 6 categories by treatments. [Conclusion] Prediction models of efficient application of P and K in rice production were established, which provided guidance for high-yield rice production and rational and efficient utilization of P and K in southwest rice area. 展开更多
关键词 Phosphorus and potassium nutrients Efficient application amount Mathematic model Mid-season hybrid rice
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Ecological Suitability Evaluation on Agricultural Land in Western Jilin Province Based on Fuzzy Mathematics 被引量:2
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作者 臧立娟 王凤艳 任建超 《Agricultural Science & Technology》 CAS 2012年第8期1757-1761,共5页
[Objective] This study was to evaluate the ecological suitability of agricultural land in western Jilin Province, with the aim to provide basis for the effective application of agricultural resources and the structura... [Objective] This study was to evaluate the ecological suitability of agricultural land in western Jilin Province, with the aim to provide basis for the effective application of agricultural resources and the structural adjustment of land use. [Method] The evaluation index system was constructed based on fuzzy mathematic method according to the principles of systematic, dominant, effectiveness and feasibility; based on law of tolerance, reasonable evaluation criteria were determined according to the ecological amplitude of crops; based on GIS processing, the initial data completed the mathematical operation by using the VBA program in Excel. [Result] The area of agricultural land grade I was 5 512 km2, grade II of 25 985 km2, grade Ill of 7 907 km2, and area of land not suitable for agriculture was 6 312 km2. According to the evaluation results, the key areas for land use adjustment were Zhenlai County, Da'an County, Tongyu County and western Changling County. The directions of land use adjustment included improving irrigation and drainage conditions, governing land salinization and conversion of cropland to forest and grassland. [Conclusion] This study provided basis for the effective application of agricultural resources and ecological environment construction in western Jilin Province. 展开更多
关键词 Land use Suitability evaluation Agricultural land Fuzzy mathematic method Western Jilin Province
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均匀带电细圆环的电势和电场强度的空间分布 被引量:2
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作者 于慧 张素花 +3 位作者 安海龙 韩英荣 柳辉 张玉红 《河北工业大学成人教育学院学报》 2007年第4期30-35,共6页
均匀带电细圆环是电磁学理论及应用中的基本模型,研究其产生的电场在空间的分布具有重要意义。本文由电势的叠加原理,首先推导出均匀带电细圆环在空间任一点的电势表达式,并用数学软件Mathematic绘出了其电势在空间的分布-等势线的分布... 均匀带电细圆环是电磁学理论及应用中的基本模型,研究其产生的电场在空间的分布具有重要意义。本文由电势的叠加原理,首先推导出均匀带电细圆环在空间任一点的电势表达式,并用数学软件Mathematic绘出了其电势在空间的分布-等势线的分布;然后由电场强度和电势的关系,得到了空间任一点的电场强度表达式,并进行了数值模拟。 展开更多
关键词 均匀带电细圆环 电势 电场强度 椭圆积分 数学软件Mathematic
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IGCT的换流机理 被引量:7
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作者 彭勇殿 《机车电传动》 北大核心 2004年第1期24-27,共4页
提出一种独特的IGCT换流等效电路,建立相应的数学模型,并借助Mathematic软件对 该模型进行求解;分析了主要参量与换流时间的关系,在此基础上,描述换流后的关断过程,阐明 IGCT的换流机理。
关键词 IGCT 换流模型 Mathematic软件 IGBT GTO GCT 自关断器件 换流过程分析 关断过程 电路分析
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Mathematic在电磁场和电磁波可视化教学中的应用 被引量:7
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作者 姜宇 《实验科学与技术》 2009年第2期59-60,70,共3页
针对电磁场与电磁波课程中复杂问题难以描述与理解的现状,利用Mathematic计算机语言强大的公式推理及运算与可视化功能,对电磁场理论进行了推理及计算,获得庞杂电磁问题的可视化结果。从而便于学生了解电磁场的变化规律并获得更多的电... 针对电磁场与电磁波课程中复杂问题难以描述与理解的现状,利用Mathematic计算机语言强大的公式推理及运算与可视化功能,对电磁场理论进行了推理及计算,获得庞杂电磁问题的可视化结果。从而便于学生了解电磁场的变化规律并获得更多的电磁现象本质,并且能够有效地提高教学质量和改善教学效果。 展开更多
关键词 电磁场与电磁波 Mathematic语言 可视化
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Mathematic软件在铁磁材料磁滞回线中的应用 被引量:1
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作者 魏奶萍 张相武 朱君凡 《大学物理实验》 2014年第6期96-99,102,共5页
根据铁磁材料磁滞回线的实验原理,利用绘图软件Mathematic绘制出样品的磁化曲线和磁滞回线,对实验数据进行多项式函数拟合,计算出其磁滞损耗。
关键词 Mathematic软件 磁化曲线 磁滞回线 磁滞损耗
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基于黄金分割律的易拉罐形状和尺寸的最优设计 被引量:2
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作者 李延明 王春媛 王诚 《兰州石化职业技术学院学报》 2006年第4期30-32,共3页
基于黄金分割律的设计理念,应用目标规划的方法建立了易拉罐形状和尺寸最优设计的简化模型与改进模型,以拉格朗日乘数法求解了简化模型,利用mathematic求出了改进模型数值解,并通过测量数据进行了验证。
关键词 黄金分割律 最优设计 目标规划 拉格朗日乘数 mathematic 成本因子
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线性规划及其在水资源工程中的应用(二) 被引量:2
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作者 方乐润 《黑龙江大学工程学报》 1996年第2期1-9,共9页
线性规划及其在水资源工程中的应用(二)方乐润(河海大学)4线性规划问题的对偶性质线性规划问题有一个非常独特的性质──对偶性(Duality)。式(7)、(8)和(9)所定义的每一个线性规划问题都与一个对偶的最优化问题... 线性规划及其在水资源工程中的应用(二)方乐润(河海大学)4线性规划问题的对偶性质线性规划问题有一个非常独特的性质──对偶性(Duality)。式(7)、(8)和(9)所定义的每一个线性规划问题都与一个对偶的最优化问题相对应。对任何一个求极大值的线性规... 展开更多
关键词 linear PROGRAMMING mathematic model EXCHANGE method DUALITY nonlinear function LINEARIZATION technique.
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数学问题解决研究综述及其启示 被引量:1
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作者 康武 《教育学报》 1997年第12期18-21,共4页
关键词 问题解决研究 数学问题解决 研究综述 元认知 问题解决教学 过程变量 数学教育 数学教学 问题解决过程 Mathematic
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运筹学课程理实一体化创新教学模式研究 被引量:11
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作者 梁冬梅 《物流工程与管理》 2018年第5期173-174,共2页
在研究大量文献和多个学期教学实践的基础上,总结并阐述了物流技术与工程专业《运筹学》课程的研究目标及内容,接着在课堂实践中分析该门课程在教学中普遍存在的问题和原因,结合多年的教学经验提出了如何采用多种先进的积极教学方法及... 在研究大量文献和多个学期教学实践的基础上,总结并阐述了物流技术与工程专业《运筹学》课程的研究目标及内容,接着在课堂实践中分析该门课程在教学中普遍存在的问题和原因,结合多年的教学经验提出了如何采用多种先进的积极教学方法及丰富的教学资源将该门课程建设成为理论与实践一体化的新型教学课程。 展开更多
关键词 运筹学 物流管理 物流技术与工程 教学改革 积极教学法 LINDO EXCEL WOLFRAM MATHEMATIC
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关于数学建模课程的几点思考 被引量:1
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作者 杨华康 《高等理科教育》 1996年第2期69-71,74,共4页
数学建模(Mathematical Modelling)作为理工科学生的一门基础课和专业基础课,近年来受到越来越多的重视。实践表明,这门课程给予学生的训练弥补了传统数学课程的许多不足之处,对于培养面向21世纪的建设人才具有深远意义。但是,作为一门... 数学建模(Mathematical Modelling)作为理工科学生的一门基础课和专业基础课,近年来受到越来越多的重视。实践表明,这门课程给予学生的训练弥补了传统数学课程的许多不足之处,对于培养面向21世纪的建设人才具有深远意义。但是,作为一门新课,其教学内容与教学方式、方法都很不成熟,教学难度很大。本文根据我校近年来开设数学建模课程的实践,提供几点粗浅的意见,以就教于国内同行。 展开更多
关键词 数学建模课程 数学建模教学 数学课程 几点思考 教学方式 教学内容 思维模式 数学知识 数学模型 Mathematic
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三维物性界面的反射与透射系数及其数值计算
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作者 王笛 王秀娟 +1 位作者 王兵团 麦苗 《北京交通大学学报》 EI CAS CSCD 北大核心 2005年第3期50-53,共4页
主要研究了在三维物性界面上的平面波入射的反射与透射系数,用mathematic数学软件获得反射系数与透射系数较复杂的计算公式,并做了数值计算,对工程应用可作参考.
关键词 透射系数 数值计算 界面 物性 三维 mathematic 计算公式 反射系数 数学软件 工程应用 平面波
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Mathematic环境下数值分析课程的辅助教学 被引量:1
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作者 张福玲 《高教论坛》 2006年第6期63-65,共3页
本文分析了数值分析课程的特点和教学中存在的问题,介绍了在Mathematic环境下辅助教学的一些初步尝试和设想,提高数值分析课程的应用性,培养学生应用数学知识解决实际问题的能力。
关键词 数值分析 Mathematic 辅助教学
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一类最速降线与最短路径问题 被引量:3
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作者 黄东卫 郑丽霞 通拉嗄 《工科数学》 2000年第1期102-106,共5页
本文结合梯度讨论了椭球面上一类最速降线问题 ,应用变分法及 Mathematica软件讨论了椭球面上最短路径问题 ;分析了二者的关系 ,旨在加强应用数学知识的能力 .
关键词 Mathematic软件 最速降线 最短路径 椭球面
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n倍角正、余弦公式史略 被引量:2
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作者 汪晓勤 《中等数学》 1998年第1期24-26,共3页
n倍角正、余弦公式是指用sinα和cosα来表示sinα和cosnα(n∈N)的公式,众所周知,其推导是以两用和的正、余弦公式为基础的。 公元2世纪,古希腊数学家和天文学家托勒密(Ptolemy)为造出从1/2度到180度每隔1/2度的所有弧的弦表(相当于从... n倍角正、余弦公式是指用sinα和cosα来表示sinα和cosnα(n∈N)的公式,众所周知,其推导是以两用和的正、余弦公式为基础的。 公元2世纪,古希腊数学家和天文学家托勒密(Ptolemy)为造出从1/2度到180度每隔1/2度的所有弧的弦表(相当于从1/4度到90度每隔1/4度的正弦表),提出了后人以其名字命名的定理:国内接四边形两组对边乘积之和等于两对角线乘积。 展开更多
关键词 余弦公式 Mathematic 数学家 倍角 自然数幂和公式 伯努利 古希腊数学 PTOLEMY 托勒密定理 表示为
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Mathematica绘图功能在微积分教学中的应用 被引量:1
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作者 辛春元 《湖北财经高等专科学校学报》 2012年第3期94-96,共3页
在微积分教学中引入Mathematica软件的绘图功能进行辅助教学,使教学内容更直观,易理解,从而激发学生的学习兴趣,有利于提高学生分析问题和解决问题的综合能力。
关键词 微积分 Mathematic软件 绘图
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结合Mathematica谈高等数学课程的改革 被引量:1
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作者 郝玉芹 《唐山师专学报》 2000年第5期57-59,共3页
本文简单介绍了Mathematica符号计算系统的主要功能,并提出了高等数学课程改革的几点建议。
关键词 数学软件 Mathematic 改革 高等数学课程
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