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The{P,k+1}-reflexive Solution to System of Matrix Equations AX=C,XB=D

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Chinese Quarterly Journal of Mathematics 2018年第1期33卷 32-42页

作者： cao nan-bin ZHANG Yu-ping Collage of Mathematics and Information Science Hebei Normal UniversityShijiazhuang 050016China School of Mathematics and Science Hebei GEO UniversityShijiazhuang 050031China

Let P∈C^(n×n)be a Hermitian and{k+1}-potent matrix,i.e.,P^(k+1)=P=P^(*),where(·)^(*)stands for the conjugate transpose of a matrix.A matrix X∈C^(n×n)is called{P,k+1}-reflexive(anti-reflexive)if PXP=X(P XP=-X).The system of matrix equations AX=C,XB=D subject to{P,k+1}-reflexive and anti-reflexive constraints are studied by converting into two simpler cases:k=1 and k=2,the least squares solution and the associated optimal approximation problem are also considered.

关键词： system of matrix equations potent matrix {P,k+1}-reflexive(anti-reflexive) approximation problem least squares solution

实Clifford分析中含两个奇点的拟Bochner-Martinelli型高阶奇异积分

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数学的实践与认识 2006年第4期36卷 208-217页

作者：曹南斌谢永红王丽丽王振吉河北师范大学数学与信息科学学院军械工程学院河北石家庄050000 河北化工医药学院河北石家庄050031

在实C lifford分析中讨论了带有两个奇点的拟Bochner-M artinelli型高阶奇异积分的归纳定义,H adm ard主值的存在性,递推公式,计算公式,以及在H adam ard主值意义下的微分公式.

关键词： Clifford分析拟Bochner-Marfinelli型高阶奇异积分 Hadamard主值

An effective method to determine bedding system insulation based on measured data

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Building Simulation 2023年第1期16卷 121-132页

作者： nan Zhang bin cao Yingxin Zhu Department of Building Science School of ArchitectureTsinghua UniversityBeijing 100084China Beijing Key Laboratory of Indoor Air Quality Evaluation and Control(Tsinghua University) Beijing 100084China Key Laboratory of Eco Planning&Green Building Ministry of Education(Tsinghua University)Beijing 100084China

The thermal environment is an essential factor that affects sleep *** many circumstances,the bed microenvironment is more important than the ambient environment because of the large covered area of the human body and the close contact between the bedding system and the human *** main objective of this research is to establish an effective method to determine bedding system insulation.A thermal manikin was used in the measurement of bedding system *** different types of quilts,which were filled with cotton,polyester and duvet respectively,were chosen to be *** total ten different quilts with different materials and weights were involved in the *** regular arrangements of covers were chosen with coverage rates of 94.1%,85.9%,70.6%,and 54.4%to test.A total of 64 bedding systems were tested to build an effective method to determine the bedding system *** the basis of test data,the change of bedding system insulation with coverage was found to be *** fitting was applied to establish an insulation evaluation method for bedding system *** addition,the effects of quilt cover and sleepwear on bedding system insulation were discussed and thermal insulation increment caused by quilt cover and sleepwear were *** relationships between neutral indoor temperature and weight per unit area of the quilt for different coverage rates have been quantified based on existing subject *** research provides an effective method to determine bedding system insulation,which can be widely used in thermal comfort research and HVAC system design.

关键词： sleep environment bedding system thermal insulation thermal comfort

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信息与计算科学专业建设的探索与实践

大学数学 2013年第6期29卷 1-3页

作者：宋建民曹南斌陈敏江石家庄经济学院数理学院河北石家庄050031

培养社会适用型人才是各高校信息与计算科学专业建设的目标.石家庄经济学院在专业建设方面突出夯实专业知识、拓展实训技能,实现双证结合.在大类招生专业分流基础上,根据学生的兴趣、特长设计不同的实训环节和实践项目.

关键词：专业建设探索性实践教学实训技能商业智能

Melting Evaluation of Phase Change Materials Impregnated into Cascaded Metal Foams with Regionalized Enhancement

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Journal of Thermal Science 2025年第1期 223-241页

作者： WEI Xinyi ZHANG nan ZHANG Zhaoli cao Xiaoling YUAN Yanping School of Mechanical Engineering Southwest Jiaotong University

Metal foam promotes the heat transfer of phase change materials(PCMs) in the penalty of reducing the energy storage density of the composite *** this work,the effects of constant porosity(0.96,0.94,0.92,or 0.90) and pore density(PPI) of metal foam on heat transfer of composite PCMs are *** rate could be enhanced by employing with low porosity copper ***,aiming to the right bottom phase changing "dead region",a regionalized enhancement strategy of cascaded metal foams is *** dynamic melting performances of all the composite PCMs are comprehensively *** results reveal that the cascaded configuration is beneficial for *** show that the horizontal strategy enhances melting performance:a maximum of 17.98% reduction in total melting time could be reached when the rear part porosity is 90%.The energy storage density rate could be raised by 5.48%.Besides,the vertical strategy performs with a better average temperature uniformity of 0.441 and brings a lower temperature in the heated *** sum up,the regionalized enhancement of copper foam provides better performance in the phase change *** shows significant potential for solar heat storage and thermal protection.

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SC-CO_(2)与工业乳化炸药破岩效应的等效试验

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工程科学学报 2025年第2期47卷 249-258页

作者：蒋楠姚颖康朱斌罗学东江汉大学省部共建精细爆破国家重点实验室武汉430056 江汉大学爆破工程湖北省重点实验室武汉430056 中国地质大学(武汉)工程学院武汉430074

如何定量化核算SC-CO_(2)(超临界二氧化碳)破岩效率是非炸药类破岩技术在实际工程应用时重点关注的内容.本研究基于爆破当量理论计算和现场爆破试验的研究方法,通过工程类比法进行工业乳化炸药等效当量计算,选择典型代表性花岗岩及泥岩... 详细信息

如何定量化核算SC-CO_(2)(超临界二氧化碳)破岩效率是非炸药类破岩技术在实际工程应用时重点关注的内容.本研究基于爆破当量理论计算和现场爆破试验的研究方法,通过工程类比法进行工业乳化炸药等效当量计算,选择典型代表性花岗岩及泥岩场地,设计进行了SC-CO_(2)与工业炸药破岩效应等效对比现场试验;基于现场破岩等效现场试验测试数据,对比分析试验过程中SC-CO_(2)与工业炸药破岩体积、破岩区域形态、大块率和单耗等破岩区域特征及参量数据.研究结果表明:当SC-CO_(2)破岩体积较大时,其致裂破岩范围的长短轴较长,并且随着剪切片厚度的增加,泥岩场地二氧化碳单耗的下降速率增大,二氧化碳单耗是炸药单耗的6~11倍.SC-CO_(2)破岩技术大块率较高,而炸药爆炸应力波分布均匀,大块率较小.SC-CO_(2)破岩地表振速远小于工业炸药破岩,工业炸药爆破测点合振速值为SC-CO_(2)破岩测点合振速值的9~11倍,SC-CO_(2)破岩对周边环境震动影响较小.SC-CO_(2)破岩测点合应力峰值高于工业炸药破岩,SC-CO_(2)破岩试验中各测点合应力值为炸药破岩试验中对应测点值的1.2~1.6倍.

关键词： SC-CO_(2) 工业炸药等效破岩动力效应破岩体积

Optimal Scheduling of Regional Integrated Energy Systems Considering Hybrid Demand Response

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CSEE Journal of Power and Energy Systems 2024年第3期10卷 1208-1219页

作者： Ganyun Lyu bin cao Dexiang Jia nan Wang Jun Li Guangyu Chen Department of Electrical Engineering Nanjing Institute of TechnologyNanjing 211167China State Grid Energy Research Institute Co. LTDBeijing 102209China State Grid Integrated Energy Service Group Co. LTDBeijing 100032China IEEE CSEE

Flexible load can optimize the load curve,which is an important means to promote renewable energy *** peculiarities of electricity,heat,cooling and gas loads are analyzed in this paper,considering the fuzzy degree of human perception for water temperature,and the characteristic model of hot water load is *** the fuzzy degree of human perception of ambient temperature,the characteristic model of cooling load is established by using PMV and PPD ***,considering four combinations of cut load,translatable load,transferable load and alternative load,and considering the coupling relationship of composite parts,different response models of load are established *** the minimum cost of the system,including operation and compensation costs as the objective function,the optimization scheduling model of the regional integrated energy system is established,and the Gurobi solver is used for simulation analysis to solve the optimal output and load response curve of each piece of *** results show that the load curve can be optimized,the flexible regulation ability of the regional integrated energy system can be enhanced,the energy loss of the system can be reduced,and the wind power consumption ability of the system can be increased by considering the integrated demand response.

关键词： Alternative load day ahead optimal scheduling integrated demand response PMV and PPD index regional integrated energy system

Rare pattern of Maisonneuve fracture:A case report

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World Journal of Clinical Cases 2022年第14期10卷 4684-4690页

作者： bin Zhao nan Li Hong-bin cao Gui-Xin Wang Jin-Quan He Department of Foot and Ankle SurgeryⅠ Tianjin HospitalTianjin 300211China

BACKGROUND Maisonneuve fracture is a special type of ankle fracture that consists of proximal fibular fracture,a lesion of the inferior tibiofibular syndesmotic complex(interosseous ligament,anterior inferior tibiofibular ligament and posterior inferior tibiofibular ligament),and injury of the medial structure of the ankle(deltoid ligament tear or medial malleolar fracture).The accepted mechanism of Maisonneuve fracture is pronation external rotation according to the Lauge-Hansen *** this paper,we report a rare pattern of Maisonneuve fracture,which has the characteristics of both pronation external rotation ankle fracture and supination adduction ankle *** SUMMARY A 31-year-old female patient accidentally sprained her right ankle while walking 5 d before hospitalization in our *** patient was initially missed in other hospitals and later rediagnosed in our outpatient ***-length radiographs of the lower leg revealed proximal fibula fracture,inferior tibiofibular joint separation,and medial malleolar fracture involving the posterior malleolus,which was also revealed on computed tomography *** resonance imaging revealed rupture of the anterior inferior tibiofibular ligament and anterior talofibular *** diagnosed a rare pattern of Maisonneuve fracture with proximal fibular fracture,inferior tibiofibular joint separation,medial malleolar fracture and ruptures of the anterior inferior tibiofibular ligament and anterior talofibular *** patient underwent open reduction and internal fixation in our hospital.A 6-mo postoperative follow-up confirmed a good clinical *** To our knowledge,this rare pattern of Maisonneuve fracture has not been previously *** possible mechanism of injury is supination adduction combined with pronation external *** analysis of the injury mechanism of Maisonneuve fracture is of great clinical significance and can better guide clinical treatm

关键词： Ankle fracture Maisonneuve fracture Mechanism analysis Pronation external rotation Supination adduction Case report

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项目教学在高等数学教学中的设计与实施

教育教学论坛 2020年第46期 281-283页

作者：张玉平曹南斌董昌州杜少静河北地质大学数理教学部河北石家庄050031

项目教学法是指在教师的指导下,将一个相对独立的项目或课程章节交给学生,学生自己或小组进行信息收集、方案设计、项目实施及最终评价,而教师在整个过程中起引导监督的作用。文章以高等数学中的一个知识点为例,详细讲述了如何在教学中... 详细信息

项目教学法是指在教师的指导下,将一个相对独立的项目或课程章节交给学生,学生自己或小组进行信息收集、方案设计、项目实施及最终评价,而教师在整个过程中起引导监督的作用。文章以高等数学中的一个知识点为例,详细讲述了如何在教学中设计和实施项目式教学。

关键词：高等数学项目式教学条件极值拉格朗日乘数法