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“胡不归”最值模型及其应用 被引量:1
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作者 杨婕 汤琼 《数学之友》 2023年第10期71-73,共3页
在历年中考真题中,中考压轴题中常与图象结合起来进行考查“胡不归”最值问题.学生遇到此类题型往往不知从何下手,存在畏难心理,甚至直接放弃该题.本文以四道中考数学真题为例,从四边形、圆、抛物线等角度深入剖析“胡不归”问题在考试... 在历年中考真题中,中考压轴题中常与图象结合起来进行考查“胡不归”最值问题.学生遇到此类题型往往不知从何下手,存在畏难心理,甚至直接放弃该题.本文以四道中考数学真题为例,从四边形、圆、抛物线等角度深入剖析“胡不归”问题在考试中的形式,以发展学生的模型思维,激发学生对建模的兴趣,从而提升学生的数学核心素养. 展开更多
关键词 中考压轴题 “胡不归”最值模型 垂线段最短
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经济数学中的最值模型例说
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作者 马秀梅 《河北理科教学研究》 2001年第4期3-5,共3页
近几年,"大学生数学建模竞赛"已为大学生所了解,许多中学生面对高考中对解决实际问题能力考查的加强,也开始关注"数学建模"这一课题,但又担心自己所学的数学知识对数学建模来说是否过于浅显.事实上,数学建模可以用... 近几年,"大学生数学建模竞赛"已为大学生所了解,许多中学生面对高考中对解决实际问题能力考查的加强,也开始关注"数学建模"这一课题,但又担心自己所学的数学知识对数学建模来说是否过于浅显.事实上,数学建模可以用各种各样的数学概念和技巧,中学数学中的大多数课程都可以用于研制特殊的数学模型.本文将以经济数学中的一类最值问题为例来说明,即使是非常简单的数学,也能给出深刻的应用. 展开更多
关键词 经济数学 最值模型 高中 数学 教学 解题
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探最值奥妙 觅模型本源 研教学策略
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作者 魏龙 《上海中学数学》 2024年第3期26-28,44,共4页
笔者通过对2022年中考数学中以平行四边形为背景的最值问题的研究,提炼“垂线段最短”模型、“牧人饮马”模型、“造桥选址”模型、“隐圆”最值模型的本质特征及模型共性,形成“探究、转化、回归”的教学策略,促使学生运用转化思想探... 笔者通过对2022年中考数学中以平行四边形为背景的最值问题的研究,提炼“垂线段最短”模型、“牧人饮马”模型、“造桥选址”模型、“隐圆”最值模型的本质特征及模型共性,形成“探究、转化、回归”的教学策略,促使学生运用转化思想探究试题.回归模型本源,培养学生“四能”,增强学生抽象能力、几何直观和推理能力. 展开更多
关键词 最值模型 教学策略 数学核心素养
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一个函数最值模型在物理问题中的应用
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作者 张维军 《物理教师(高中版)》 2002年第3期63-64,共2页
关键词 中学 物理教学 教学意识 函数最值模型
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运用最值模型求线段之和的最小值
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作者 韩敬 赵亚军 《数理化学习(初中版)》 2022年第10期20-21,共2页
近年,线段之和的最小值问题常出现在各地的中考中,主要考查运用最值模型求最值,通过归类解析,以期提高模型意识,提高解题能力.
关键词 最值模型 线段之和最小 初中数学
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基于聚类与时间耦合执行序列的任务分解方法
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作者 龚雪 彭鹏菲 姜俊 《计算机测量与控制》 2023年第9期207-212,227,共7页
针对复杂任务分析中的高度耦合任务不易分解且需重构排序的问题,提出了一种基于聚类分析与改进时间-耦合执行序列的自适应任务分解方法;在矩阵最值遴选模型和任务序列转移策略相结合的基础上,设计了基于中间任务序列的任务矩阵分割算法... 针对复杂任务分析中的高度耦合任务不易分解且需重构排序的问题,提出了一种基于聚类分析与改进时间-耦合执行序列的自适应任务分解方法;在矩阵最值遴选模型和任务序列转移策略相结合的基础上,设计了基于中间任务序列的任务矩阵分割算法,基于中间任务序列的任务矩阵分割算法很大程度上能够灵活处理离散任务序列并入的问题;并进一步采用粒度自主循环调整机制,此机制能够有效的解决任务粒度分解不均问题,并不断的进行粒度调整重置,从而使得任务粒度自主分解,最终实现了复杂任务的自适应解耦分析;仿真验证结果表明,该方法能够有效的在实现任务粒度自主设计的基础上,进一步实现复杂任务的解耦及序列重构,在作战任务分析领域具有很好的推广应用前景。 展开更多
关键词 任务分解 粒度自主循环 矩阵最值遴选模型 序列重构 聚类分析
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PARAMETRIC SENSITIVITY AND RUNAWAY IN FIXED BED REACTORS
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作者 甘一如 樊勇 吴鹏 《Transactions of Tianjin University》 EI CAS 1998年第1期42-48,共7页
This paper presents a comprehensive treatment of the parametric sensitivity and runaway in fixed bed reactors with one dimensional pseudo homogeneous dispersion model (ODDM). In this case, we find the existence of m... This paper presents a comprehensive treatment of the parametric sensitivity and runaway in fixed bed reactors with one dimensional pseudo homogeneous dispersion model (ODDM). In this case, we find the existence of multiplicity and determine the runaway criterion through the critical isodisper sion curve. The calculated results indicate when the axial dispersion is relatively small, the impact of the axial dispersion on the parametric sensitivity may be neglected; but when the axial dispersion is large, this impact must be considered. 展开更多
关键词 ODDM model iso dispersion maximum curve parametric sensitivity and runaway runaway criterion
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RESEARCH OF PINYIN-TO-CHARACTER CONVERSION BASED ON MAXIMUM ENTROPY MODEL 被引量:1
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作者 Zhao Yan Wang Xiaolong Liu Bingquan Guan Yi 《Journal of Electronics(China)》 2006年第6期864-869,共6页
This paper applied Maximum Entropy (ME) model to Pinyin-To-Character (PTC) conversion in-stead of Hidden Markov Model (HMM) that could not include complicated and long-distance lexical informa-tion. Two ME models were... This paper applied Maximum Entropy (ME) model to Pinyin-To-Character (PTC) conversion in-stead of Hidden Markov Model (HMM) that could not include complicated and long-distance lexical informa-tion. Two ME models were built based on simple and complex templates respectively, and the complex one gave better conversion result. Furthermore, conversion trigger pair of y A → y B cBwas proposed to extract the long-distance constrain feature from the corpus; and then Average Mutual Information (AMI) was used to se-lect conversion trigger pair features which were added to the ME model. The experiment shows that conver-sion error of the ME with conversion trigger pairs is reduced by 4% on a small training corpus, comparing with HMM smoothed by absolute smoothing. 展开更多
关键词 Pinyin-To-Character (PTC) conversion Maximum Entropy (ME) model Hidden Markov Model(HMM) Conversion trigger pair Average Mutual Information (AMI)
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Single-period Two-product Inventory Model with Reorder and Substitution
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作者 LI Xiao-shen GAO Ke-quan 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第1期148-158,共11页
In market, excess demands for many products can be met by reorder even during one period, and retailers usually adopt substitution strategy for more benefit. Under the retailer's substitution strategy and permission ... In market, excess demands for many products can be met by reorder even during one period, and retailers usually adopt substitution strategy for more benefit. Under the retailer's substitution strategy and permission of reorder, we develop the profits maximization model for the two-substitutable-product inventory problem with stochastic demands and proportional costs and revenues. We show that the objective function is concave and submodular, and therefore the optimal policy exists. We present the optimal conditions for order quantity and provide some properties of the optimal order quantities. Comparing our model with Netessine and Rudi's, we prove that reorder and adoption of the substitution strategy can raise the general profits and adjust down the general stock level. 展开更多
关键词 INVENTORY optimal order quantity SUBSTITUTION reorder
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Adsorption of Chlortetracycline from Water by Rectories 被引量:1
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作者 吕国诚 吴丽梅 +2 位作者 王晓龙 廖立兵 王小雨 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2012年第5期1003-1007,共5页
The removal of antibiotics from water by clay minerals has become the focus of research due to their strong adsorptive ability. In this study, adsorption of chlortetracycline (CTC) onto rectories was conducted and the... The removal of antibiotics from water by clay minerals has become the focus of research due to their strong adsorptive ability. In this study, adsorption of chlortetracycline (CTC) onto rectories was conducted and the effects of time, concentration, temperature and pH were investigated. Experimental results showed that adsorption equilibrium was reached in 8 h. Based on the Langmuir model, the maximum adsorption capacity of CTC on rectories was 177.7 mg·g 1 at room temperature. By the study on adsorption dynamics, it is found that the kinetic date fit the pseudo-second-order model well. The adsorption of CTC by rectories is endothermic and the free energy is in the range of 10 to 30 kJ·mol 1 . The pH value of solution has significant effects on adsorption and the optimal pH is at acidity (pH 2-6). At concentration of 2500 mg·L 1 , the intercalated CTC produces an interlayer space with a height of 1.38 nm, which is 1.12 nm in raw rectories, suggesting that the adsorption occurs between layers of rectories. 展开更多
关键词 adsorptxon rectory CHLORTETRACYCLINE
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Low dose oral haloperidol does not prolong QTc interval in older acutely hospitalised adults: a subanalysis of a randomised double-blind placebo-controlled study
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作者 Edmee JM Schrijver Maaike Verstraaten +5 位作者 Peter M van de Ven Pierre M Bet Astrid M van Strien Carel de Cock Prabath WB Nanayakkara on behalf of all HARPOON Investigators 《Journal of Geriatric Cardiology》 SCIE CAS CSCD 2018年第6期401-407,共7页
Background Haloperidol is the most frequently prescribed antipsycbotic for delirium symptoms. The risk of QTc prolongation often raises concerns, although the effect of haloperidol on QTc interval has not yet been inv... Background Haloperidol is the most frequently prescribed antipsycbotic for delirium symptoms. The risk of QTc prolongation often raises concerns, although the effect of haloperidol on QTc interval has not yet been investigated in a randomised placebo-controlled fixed-dose study. Methods A subanalysis of a randomised double-blind placebo-controlled study was conducted to evaluate the effect of prophylactic haloperidol 1 mg or placebo 1 mg orally twice-daily (maximum of 14 doses) on QTc interval in patients aged 70 years and over. Bedside, 12-lead ECGs were recorded before, during and after the one-week intervention period. Automatic QTc measurements were ob- tained in addition to manual measurements of QT and RR intervals, blinded for treatment status. Manual measurements were corrected (QTc) using Bazett (QTc-B), Framingham (QTc-Fa), Fridericia (QTc-Fi) and Hodges (QTc-H) methods. Mixed model analyses were used to test for differences in longitudinal course of QTc between patients receiving haloperidol and placebo. Results ECG recordings of 72 patients (haloperidol n = 38) were analysed, 45.8% male. Median (range) haloperidol serum concentration on day 4 was 0.71 (0.32-1.82) μg/L (n = 23). Longitudinal course of mean QTc did not significantly differ between treatment arms for any of the automatic or manually derived QTc values. Conclusions Low dose oral haloperidol did not result in QTc prolongation in older acutely hospitalised patients. Results may not be generalizable to patients with existing ECG abnormalities such as atrial fibrillation. 展开更多
关键词 HALOPERIDOL PROLONGATION QTc interval The aged
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Strong Consistency of Estimators of a Semiparametric Regression Model under Fixed Design
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作者 TIAN Ping XUE Liu-gen 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第2期202-209,共8页
In this paper, we consider the following semipaxametric regression model under fixed design: yi = xi′β+g(xi)+ei. The estimators of β, g(·) and σ^2 axe obtained by using the least squares and usual nonp... In this paper, we consider the following semipaxametric regression model under fixed design: yi = xi′β+g(xi)+ei. The estimators of β, g(·) and σ^2 axe obtained by using the least squares and usual nonparametric weight function method and their strong consistency is proved under the suitable conditions. 展开更多
关键词 semiparametric regression model least square estimation weight function strong consistency
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三角形周长的最小值问题解析
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作者 韩敬 《数理化学习(初中版)》 2022年第4期27-28,共2页
求三角形周长最小值问题常出现在各地的中考或阶段考试中,解此类问题常用的基本模型有:“两点之间,线段最短”、“垂线段最短”、“三点共线和垂线段最短”、“辅助圆和动点情形下的斜大于或等于直”,重点考查学生运用四种模型解决问题... 求三角形周长最小值问题常出现在各地的中考或阶段考试中,解此类问题常用的基本模型有:“两点之间,线段最短”、“垂线段最短”、“三点共线和垂线段最短”、“辅助圆和动点情形下的斜大于或等于直”,重点考查学生运用四种模型解决问题的能力. 展开更多
关键词 三角形周长 最值模型 最小
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Using Max Ent Model to Predict Suitable Habitat Changes for Key Protected Species in Koshi Basin,Central Himalayas 被引量:4
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作者 LIU Linshan ZHAO Zhilong +1 位作者 ZHANG Yili WU Xue 《Journal of Resources and Ecology》 CSCD 2017年第1期77-87,共11页
Because of its landscape heterogeneity,Koshi Basin(KB) is home to one of the world's most abundant,diverse group of species.Habitat change evaluations for key protected species are very important for biodiversity p... Because of its landscape heterogeneity,Koshi Basin(KB) is home to one of the world's most abundant,diverse group of species.Habitat change evaluations for key protected species are very important for biodiversity protection in this region.Based on current and future world climate and land cover data,MaxE nt model was used to simulate potential habitat changes for key protected species.The results shows that the overall accuracy of the model is high(AUC 0.9),suggesting that the MaxE nt-derived distributions are a close approximation of real-world distribution probabilities.The valley around Chentang Town and Dram Town in China,and Lamabagar and the northern part of Landtang National Park in Nepal are the most important regions for the protection of the habitat in KB.The habitat area of Grus nigricollis,Panax pseudoginseng,and Presbytis entellus is expected to decrease in future climate and land cover scenarios.More focus should be placed on protecting forests and wetlands since these are the main habitats for these species. 展开更多
关键词 MaxE nt model Land use Habitat loss Koshi Basin HIMALAYAS
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Optimal searching for a Helix target motion 被引量:2
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作者 MOHAMED Abd Allah El-Hadidy 《Science China Mathematics》 SCIE CSCD 2015年第4期749-762,共14页
This paper discusses a search problem for a Helix target motion in which any information of the target position is not available to the searchers. There exist three searchers start searching for the target from the or... This paper discusses a search problem for a Helix target motion in which any information of the target position is not available to the searchers. There exist three searchers start searching for the target from the origin. The purpose of this paper is to formulate a search model and finds the conditions under which the expected value of the first meeting time between one of the searchers and the target is finite. Also, the existence of the optimal search plan that minimizes the expected value of the first meeting time is shown. Furthermore,this optimal search plan is found. The effectiveness of this method is illustrated by using an example with numerical results. 展开更多
关键词 Helix motion optimal search plan first meeting time probability measure multiobjective nonlinear programming problem
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Visual tracking based on the sparse representation of the PCA subspace
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作者 陈典兵 朱明 王慧利 《Optoelectronics Letters》 EI 2017年第5期392-396,共5页
We construct a collaborative model of the sparse representation and the subspace representation. First, we represent the tracking target in the principle component analysis(PCA) subspace, and then we employ an L_1 reg... We construct a collaborative model of the sparse representation and the subspace representation. First, we represent the tracking target in the principle component analysis(PCA) subspace, and then we employ an L_1 regularization to restrict the sparsity of the residual term, an L_2 regularization term to restrict the sparsity of the representation coefficients, and an L_2 norm to restrict the distance between the reconstruction and the target. Then we implement the algorithm in the particle filter framework. Furthermore, an iterative method is presented to get the global minimum of the residual and the coefficients. Finally, an alternative template update scheme is adopted to avoid the tracking drift which is caused by the inaccurate update. In the experiment, we test the algorithm on 9 sequences, and compare the results with 5 state-of-art methods. According to the results, we can conclude that our algorithm is more robust than the other methods. 展开更多
关键词 Distributed computer systems Principal component analysis
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Optimal control problem in an epidemic disease SIS model with stages and delays 被引量:2
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作者 Yongzhen Pei Miaomiao Chen +3 位作者 Xiyin Liang Zhumei Xia Yunfei Lv Changguo Li 《International Journal of Biomathematics》 2016年第5期131-152,共22页
Based on literature [J. Q. Li, Z. E. Ma and F. Q. Zhang, Stability analysis for an epidemic model with stage structure, J. Appl. Math. Comput. 9 (2008) 1672-1679], incorporating the recovery of the infected populati... Based on literature [J. Q. Li, Z. E. Ma and F. Q. Zhang, Stability analysis for an epidemic model with stage structure, J. Appl. Math. Comput. 9 (2008) 1672-1679], incorporating the recovery of the infected population with the length of the infectious periods, a modified epidemic disease SIS model with delay and stage was investigated. First, the criteria keeping stability with delay were given. Next, in order to lower the level of the infected individuals and minimize the cost of treatment, mixed, early and late therapeutic strategies were introduced into our model, respectively. Then we investigated the existence and uniqueness of optimal controls. And then, we expressed the unique optimal control in terms of the solution of the optimality systems. Finally, by numerical simulations, several important results were acquired: (1) The terminal time influenced the early optimal control largely. In detail, for a shorter terminal time it was optimal to initiate treatment with maximal effort at the start of the epidemic and continue treatment with maximal effort until the switch time was arrived. But for a longer terminal time, the maximal treatment effort need not be a prerequisite at the start or end of the epidemic but it was obligatory at the metaphase of the epidemic. (2) For our SIS model, minimizing the total infectious burden of the disease can be achieved by only early optimal treatment tactics. (3) For a disease with a shorter infectious period time,more cost would be spent to control the disease in order to achieve the optimal control objective. Otherwise, a relative lower cost would be to control the disease with a longer infectious period. 展开更多
关键词 Optimal control infectious period Pontryagin's maximum principle total infectious burden total optimal cost.
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