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Indefinite Least Squares Problem with Quadratic Constraint and Its Condition Numbers
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作者 Mahvish SAMAR Aamir FAROOQ +1 位作者 Chunlai MU Iram MUSHTAQ 《数学研究及应用:英文版》 CSCD 2020年第1期57-72,共16页
In this paper,we consider the indefinite least squares problem with quadratic constraint and its condition numbers.The conditions under which the problem has the unique solution are first presented.Then,the normwise,m... In this paper,we consider the indefinite least squares problem with quadratic constraint and its condition numbers.The conditions under which the problem has the unique solution are first presented.Then,the normwise,mixed,and componentwise condition numbers for solution and residual of this problem are derived.Numerical example is also provided to illustrate these results. 展开更多
关键词 indefinite least squares problem quadratic constraint norniwise condition number mixed condition number componentwise condition number
Decrement of Sugar Consumption in Rice Young Panicle Under High Temperature Aggravates Spikelet Number Reduction 预览
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作者 WANG Yaliang ZHANG Yikai +9 位作者 SHI Qinghua CHEN Huizhe XIANG Jing HU Guohui CHEN Yanhua WANG Xiaodan WANG Junke YI Zihao ZHU Defeng ZHANG Yuping 《水稻科学:英文版》 CSCD 2020年第1期44-55,共12页
Two rice genotypes Huanghuazhan(HHZ, heat-resistant) and IR36(heat-susceptible) were subjected to high-temperature(HT, 40℃) and normal-temperature(NT, 32℃) treatments at the spikelet differentiation stage. HT treatm... Two rice genotypes Huanghuazhan(HHZ, heat-resistant) and IR36(heat-susceptible) were subjected to high-temperature(HT, 40℃) and normal-temperature(NT, 32℃) treatments at the spikelet differentiation stage. HT treatment inhibited spikelet differentiation, aggravated spikelet degeneration, reduced spikelet size, and disordered carbohydrate allocation. Meanwhile, HT treatment increased nonstructural carbohydrate content in leaves, but decreased that in stems and young panicles, and the same tendencies of sucrose and starch contents were observed in leaves and stem. However, HT treatment significantly increased the sucrose content and sharply decreased the glucose and fructose contents in young panicles. Lower activity levels of soluble acid invertase(EC3.2.1.26) and sucrose synthase(EC2.4.1.13) were observed under HT treatment. Moreover, HT treatment reduced the activities of key enzymes associated with glycolysis and the tricarboxylic acid cycle, which indicated sucrose consumption was inhibited in young panicles under HT treatment. Exogenous glucose and fructose applied under HT treatment increased the spikelet number more than exogenous sucrose. In conclusion, the results demonstrated that the reduction of spikelet number under high temperature was more affected by the decrease in sugar consumption than the blocking of sucrose transport. The impairment of sucrose hydrolysis was the main reason for the inhibition of sugar utilization. 展开更多
关键词 RICE high temperature panicle development spikelet number carbohydrate allocation sugar consumption
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基于Z-number谱的多属性决策方法 预览
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作者 姚爱婷 吴敏超 +1 位作者 毛军军 张丽萍 《统计与决策》 CSSCI 北大核心 2019年第13期44-48,共5页
为了在多专家决策过程中综合各种客观因素和主观因素,提高决策的准确性,文章结合Z-number理论定义了Z-number的两种参数形式从而定义了Z-number频谱S(Z)。S(Z)代表了Z-number在不同频率分量处不确定信息成分的大小,是一种模态分析结果... 为了在多专家决策过程中综合各种客观因素和主观因素,提高决策的准确性,文章结合Z-number理论定义了Z-number的两种参数形式从而定义了Z-number频谱S(Z)。S(Z)代表了Z-number在不同频率分量处不确定信息成分的大小,是一种模态分析结果和已知谱相结合计算结构响应的分析方法,用于确定结构对数据随时间变化所含信息量的响应,从隶属域和频域两方面对数据进行分析得到相应的不确定信息成分的大小,它能提供更直观、丰富的信息。另外,以三角模糊数为案例结合Z-number谱进行多属性决策,模糊数向量化后算出选择方案与多属性之间的拟合指数,最后在两方案的不一致性系数和最小的目标下建立决策模型获得每一方案的优先权重和相关排序,进行多方案多属性决策分析,并通过实例分析验证该方法的有效性和可行性。 展开更多
关键词 Z-number 三角模糊数 Z-number频谱 多属性决策
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Some Properties of a Class of Refined Eulerian Polynomials
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作者 Yidong SUN Liting ZHAI 《数学研究及应用:英文版》 CSCD 2019年第6期593-602,共10页
Recently, Sun defined a new kind of refined Eulerian polynomials, namely,An(p,q)=∑π∈■np^odes(π)q^edes(π) for n ≥ 1, where Sn is the set of all permutations on {1, 2,..., n}, odes(π) and edes(π) enumerate the ... Recently, Sun defined a new kind of refined Eulerian polynomials, namely,An(p,q)=∑π∈■np^odes(π)q^edes(π) for n ≥ 1, where Sn is the set of all permutations on {1, 2,..., n}, odes(π) and edes(π) enumerate the number of descents of permutation π in odd and even positions, respectively. In this paper,we obtain an exponential generating function for An(p, q) and give an explicit formula for An(p, q)in terms of Eulerian polynomials An(q) and C(q), the generating function for Catalan numbers.In certain cases, we establish a connection between An(p, q) and An(p, 0) or An(0, q), and express the coefficients of An(0, q) by Eulerian numbers An,k. Consequently, this connection discovers a new relation between Euler numbers En and Eulerian numbers An,k. 展开更多
关键词 Eulerian polynomial Eulerian number Euler number DESCENT alternating permutation Catalan number
A numerical study of non-Darcy flow in EGS heat reservoirs during heat extraction
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作者 Wenjiong CAO Wenbo HUANG +2 位作者 Guoling WEI Yunlong JIN Fangming JIANG 《能源前沿:英文版》 CSCD 2019年第3期439-449,共11页
Underground non-Darcy fluid flow has been observed and investigated for decades in the petroleum industry. It is deduced by analogy that the fluid flow in enhanced geothermal system (EGS) heat reservoirs may also be i... Underground non-Darcy fluid flow has been observed and investigated for decades in the petroleum industry. It is deduced by analogy that the fluid flow in enhanced geothermal system (EGS) heat reservoirs may also be in the non-Darcy regime under some conditions. In this paper, a transient 3D model was presented, taking into consideration the non-Darcy fluid flow in EGS heat reservoirs, to simulate the EGS long-term heat extraction process. Then, the non-Darcy flow behavior in water- and supercritical CO2 (SCCO2)-based EGSs was simulated and discussed. It is found that non-Darcy effects decrease the mass flow rate of the fluid injected and reduce the heat extraction rate of EGS as a flow resistance in addition to the Darcy resistance which is imposed to the seepage flow in EGS heat reservoirs. Compared with the water-EGS, the SCCO2-EGS are more prone to experiencing much stronger non-Darcy flow due to the much larger mobility of the SCCO2. The non-Darcy flow in SCCO2- EGSs may thus greatly reduce their heat extraction performance. Further, a criterion was analyzed and proposed to judge the onset of the non-Darcy flow in EGS heat reservoirs. The fluid flow rate and the initial thermal state of the reservoir were taken and the characteristic Forchheimer number of an EGS was calculated. If the calculated Forchheimer number is larger than 0.2, the fluid flow in EGS heat reservoirs experiences non-negligible non-Darcy flow characteristic. 展开更多
关键词 enhanced GEOTHERMAL system NON-DARCY flow HEAT extraction REYNOLDS NUMBER Forchheimer NUMBER
基于Z-number的煤矿瓦斯重大危险源分级研究 预览
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作者 张爱然 李晓霞 姚有利 《矿业安全与环保》 北大核心 2019年第3期86-91,共6页
为了更加有针对性地防治瓦斯灾害,有必要对瓦斯危险源进行科学评价和治理。从瓦斯危险源导致事故发生的可能性、严重程度和应急救援3个角度,建立瓦斯重大危险源分级评价模型,并结合同煤集团寺塔煤矿实际情况,应用层次分析和基于Z-numbe... 为了更加有针对性地防治瓦斯灾害,有必要对瓦斯危险源进行科学评价和治理。从瓦斯危险源导致事故发生的可能性、严重程度和应急救援3个角度,建立瓦斯重大危险源分级评价模型,并结合同煤集团寺塔煤矿实际情况,应用层次分析和基于Z-number模糊数的模糊综合评价方法进行计算。结果表明:该煤矿瓦斯重大危险源的等级为二级,一旦发生瓦斯事故则有可能造成重大事故,须加强监控;各评价指标的排序为瓦斯防控措施>人员意识>作业人数>装备水平>……>医疗条件。结合研究结果构建煤矿瓦斯重大危险源管控模型,该模型在瓦斯危险源等级评价和管理方面具有实用性和有效性,但还有待深入研究细化评价指标体系。 展开更多
关键词 瓦斯危险源 Z-number 模糊综合评价 管控模型 评价指标 模糊评价矩阵
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国际工程EPC总承包商联合体伙伴优选研究--基于任务和情境视角 预览
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作者 卢梅 李卓元 《西安建筑科技大学学报:自然科学版》 北大核心 2019年第1期147-154,共8页
国际工程EPC总承包项目往往需要组成联合体进行投标及实施,联合体伙伴的选择往往关系到项目的成败,是极需要解决的问题.本文在任务和情境视角下,分析了EPC联合体组成企业之间的关系和特点,构建了联合体伙伴选择指标体系,并采用考虑主体... 国际工程EPC总承包项目往往需要组成联合体进行投标及实施,联合体伙伴的选择往往关系到项目的成败,是极需要解决的问题.本文在任务和情境视角下,分析了EPC联合体组成企业之间的关系和特点,构建了联合体伙伴选择指标体系,并采用考虑主体可靠程度的Z-number模糊数建立评价模型,将模糊推理引入PROMETHEE方法建立优选模型完成方案的排序与选择.最后,文章用实例验证了所提出的模型并证实了该优选决策模型能合理对评价结果进行处理并对备选方案进行排序,为选择合作伙伴提供一种新的思路和方法. 展开更多
关键词 国际工程 EPC总承包 联合体伙伴选择 Z-number模糊数
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TODIM and TOPSIS with Z-numbers
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作者 Renato A.KROHLING André G.C.PACHECO Guilherme A.dos SANTOS 《信息与电子工程前沿:英文版》 SCIE EI CSCD 2019年第2期283-291,共9页
In this paper, we present an approach that can handle Z-numbers in the context of multi-criteria decision-making problems. The concept of Z-number as an ordered pair Z=(A, B) of fuzzy numbers A and B is used, where A ... In this paper, we present an approach that can handle Z-numbers in the context of multi-criteria decision-making problems. The concept of Z-number as an ordered pair Z=(A, B) of fuzzy numbers A and B is used, where A is a linguistic value of a variable of interest and B is a linguistic value of the probability measure of A. As human beings, we communicate with each other by means of natural language using sentences like 'the journey from home to university most likely takes about half an hour.' The Z-numbers are converted to fuzzy numbers. Then the Z-TODIM and Z-TOPSIS are presented as a direct extension of the fuzzy TODIM and fuzzy TOPSIS, respectively. The proposed methods are applied to two case studies and compared with the standard approach using crisp values. The results obtained show the feasibility of the approach. 展开更多
关键词 MULTI-CRITERIA DECISION-MAKING TODIM TOPSIS Fuzzy NUMBER Z-number
两栖装甲车系统效能评估 预览
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作者 王彤 周庆军 涂建平 《舰船电子对抗》 2019年第3期21-25,37共6页
通过分析两栖装甲车辆的作战能力特点,建立了系统效能评估指标体系,采用加入Z-Number改进后的层次分析法(AHP)计算各个评价指标的权重,并构建了模糊综合评价模型,实现对两栖装甲车辆系统效能进行评估的一整套方案,该套评估方法在一定程... 通过分析两栖装甲车辆的作战能力特点,建立了系统效能评估指标体系,采用加入Z-Number改进后的层次分析法(AHP)计算各个评价指标的权重,并构建了模糊综合评价模型,实现对两栖装甲车辆系统效能进行评估的一整套方案,该套评估方法在一定程度上解决了传统层次分析法存在的模糊信息不确定、主观性较大的缺陷,评估结果直观明确,符合装备性能实际。 展开更多
关键词 两栖装甲车 Z-Number 层次分析法 模糊综合评价
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Simulation of Natural Convection in a Cavity:Cooling with Top versus Bottom Partition` 预览
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作者 Emel Evren Selamet Ahmet Selamet 《能源与动力工程:英文版》 2019年第9期327-332,共6页
Natural convection in a square cavity is studied numerically with vertical hot walls and a cold partition located at the bottom or top walls. The effect of orientation of partition on isotherms, flow patterns, and hea... Natural convection in a square cavity is studied numerically with vertical hot walls and a cold partition located at the bottom or top walls. The effect of orientation of partition on isotherms, flow patterns, and heat transfer is analyzed for different fluids and Rayleigh numbers. The placement of partition is found to considerably influence the isotherms, flow patterns, and heat transfer. Heat transfer rate is observed always to increase when the partition is moved from bottom to top wall. 展开更多
关键词 Natural convection Rayleigh number Prandtl number
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Small Alfvén number limit for incompressible magneto-hydrodynamics in a domain with boundaries
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作者 Song Jiang Qiangchang Ju Xin Xu 《中国科学:数学英文版》 SCIE CSCD 2019年第11期2229-2248,共20页
For any fixed Alfvén number, the local well-posedness is proved for the equations of threedimensional ideal incompressible magneto-hydrodynamics in a domain with boundaries. Under appropriate conditions, a smooth... For any fixed Alfvén number, the local well-posedness is proved for the equations of threedimensional ideal incompressible magneto-hydrodynamics in a domain with boundaries. Under appropriate conditions, a smooth solution is shown to exist in a time interval independent of the Alfvén number, and the solutions of the original system tend to the solutions of a two-dimensional Euler flow coupled with a linear transport equation as the Alfvén number goes to zero. 展开更多
关键词 MHD equations VANISHING Alfvén NUMBER LIMIT SMALL Mach NUMBER uniform estimates
Effect of orientation on the drag of a cone settling in a Bingham plastic fluid
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作者 Pragya Mishra A.K. Tiwari R.P. Chhabra 《中国颗粒学报:英文版》 SCIE EI CAS CSCD 2019年第2期157-170,共14页
Effects of the orientation and apex angle on the settling velocity of conical particles in Bingham plas-tic fluids are numerically investigated over a Reynolds number range of 1 ≤Re ≤100, Bingham number range of 0 ... Effects of the orientation and apex angle on the settling velocity of conical particles in Bingham plas-tic fluids are numerically investigated over a Reynolds number range of 1 ≤Re ≤100, Bingham number range of 0 ≤ Bn ≤ 100, and cone angle range of 20 ≤α≤ 150°. Governing equations (of continuity and momentum) are solved numerically using the finite element method to obtain velocity and pressure fields that are postprocessed to obtain values of the drag coefficien.Futthermore, the effect of cone ori-entation on the flow field is visualized and explored in terms of streamline contours and the morphology of yielded/uny ielded regions. Finally, the obtai ned values of drag are correlated via a simple predictive expression in terms of the modified Reynolds number. The effect of the cone angle on drag is found to be moderate because the drag force acting on the lateral surface is a small fraction of the overall drag. 展开更多
关键词 BINGHAM NUMBER REYNOLDS NUMBER Yielded/unyielded REGIONS Drag
Shock-stable flux scheme for predicting aerodynamic heating load of hypersonic airliners
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作者 Feng Qu WeiXuan Kong +1 位作者 Di Sun JunQiang Bai 《中国科学:物理学、力学、天文学英文版》 SCIE EI CAS CSCD 2019年第8期83-92,共10页
In the design of a hypersonic airliner that can considerably shorten the flight time,how to accurately predict the vehicle’s aerodynamic heating loads is of great significance.In this study,a new shock-stable flux sc... In the design of a hypersonic airliner that can considerably shorten the flight time,how to accurately predict the vehicle’s aerodynamic heating loads is of great significance.In this study,a new shock-stable flux scheme called the simple low dissipation advection upwind splitting method(SLAU)-M1 is proposed for the prediction of hypersonic aerodynamic heating load.Based on the construction of the SLAU scheme for low-speed simulations,SLAU-M1 improves the robustness of the mass flux against shock instability.After validating the code employed,several numerical test cases are conducted.The onedimensional(1D) sod shock tube case and the two-dimensional(2D) inviscid NACA0012 airfoil case show that SLAU-M1 features a high level of accuracy at both low and high speeds.To simulate the hypersonic viscous flow over a blunt cone,we adopt different aspect ratios(ARs) of cells near the shock.The results suggest that SLAU-M1 is much less sensitive to the AR of cells near the shock in predicting hypersonic aerodynamic heating loads.Moreover,the findings show that the theoretical value is considerably better than that of the other schemes.The hypersonic viscous flow over a 2D double ellipsoid case and that over the Hypersonic Flight Experiment vehicle case also indicate that SLAU-M1 exhibits a considerably high level of accuracy in hypersonic heating predictions.These properties suggest that SLAU-M1 promises to be widely used in the accurate prediction of the aerodynamic heating loads of hypersonic airliners. 展开更多
关键词 SLAU-M1 cell REYNOLDS number ASPECT ratio HYPERSONIC heating prediction COMPUTATIONAL fluid dynamics
Collaborative Innovation
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作者 Hu Fan 《中国与非洲:英文版》 2019年第5期26-27,共2页
In Kenya, rhinos are a nati onal treasure. Owing to massive poaching, the number of all five species of this mammal has dropped drastically across Africa. Among them, northern white rhinos are the most endangered. Las... In Kenya, rhinos are a nati onal treasure. Owing to massive poaching, the number of all five species of this mammal has dropped drastically across Africa. Among them, northern white rhinos are the most endangered. Last yeai;Sudan, the last male member of this species, died in Kenya. 展开更多
关键词 Kenya NUMBER SUDAN
Investigation of photon energy absorption properties for some biomolecules 预览
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作者 Mohammed Sultan Al-Buriahi Halil Arslan Baris T. Tonguc 《核技术:英文版》 SCIE CAS CSCD 2019年第7期1-9,共9页
The mass energy absorption coefficient (len=q), effective atomic number (ZPEAeff ), and electron density (NPEAeff ) of some biomolecules with potential application in radiation dosimetry were calculated for their phot... The mass energy absorption coefficient (len=q), effective atomic number (ZPEAeff ), and electron density (NPEAeff ) of some biomolecules with potential application in radiation dosimetry were calculated for their photon energy absorption (PEA) in the energy region of 1–20 MeV. It was noticed that the values of len=q, ZPEAeff , and NPEAeff vary with the energy and composition of the biomolecules. The results for ZPEAeff were compared with effective atomic numbers (ZPIeff ) owing to the photon interaction (PI). Significant differences were noted between ZPEAeff and ZPIeff in the energy region of 10–150 keV for all of the biomolecules involved. A maximum difference of 45.36% was observed at 50 keV for creatinine hydrochloride. Moreover, the studied attenuation parameters were found to be sharply affected at the K-absorption edge of relatively high-Z elements present in the biomolecules. 展开更多
关键词 PHOTON energy ABSORPTION EFFECTIVE ATOMIC NUMBER Electron density BIOMOLECULE
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Quantum search for unknown number of target items by hybridizing fixed-point method with trail-and-error method
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作者 李坦 张硕 +4 位作者 付向群 汪翔 汪洋 林杰 鲍皖苏 《中国物理B:英文版》 SCIE EI CAS CSCD 2019年第12期68-74,共7页
For the unsorted database quantum search with the unknown fraction λ of target items, there are mainly two kinds of methods, i.e., fixed-point and trail-and-error.(i) In terms of the fixed-point method, Yoder et al. ... For the unsorted database quantum search with the unknown fraction λ of target items, there are mainly two kinds of methods, i.e., fixed-point and trail-and-error.(i) In terms of the fixed-point method, Yoder et al. [Phys. Rev. Lett.113 210501(2014)] claimed that the quadratic speedup over classical algorithms has been achieved. However, in this paper, we point out that this is not the case, because the query complexity of Yoder’s algorithm is actually in O(1/λ01/2)rather than O(1/λ1/2), where λ0 is a known lower bound of λ.(ii) In terms of the trail-and-error method, currently the algorithm without randomness has to take more than 1 times queries or iterations than the algorithm with randomly selected parameters. For the above problems, we provide the first hybrid quantum search algorithm based on the fixed-point and trail-and-error methods, where the matched multiphase Grover operations are trialed multiple times and the number of iterations increases exponentially along with the number of trials. The upper bound of expected queries as well as the optimal parameters are derived. Compared with Yoder’s algorithm, the query complexity of our algorithm indeed achieves the optimal scaling in λ for quantum search, which reconfirms the practicality of the fixed-point method. In addition, our algorithm also does not contain randomness, and compared with the existing deterministic algorithm, the query complexity can be reduced by about 1/3. Our work provides a new idea for the research on fixed-point and trial-and-error quantum search. 展开更多
关键词 quantum search FIXED-POINT trail-and-error unknown number of target items
Expanding Business
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作者 Gitonga Njeru 《中国与非洲:英文版》 2019年第5期38-39,共2页
Yusuf Mohamed, a 45-year-old resident of Nairobi, has been a consumer of Chinese products and services for more than a decade. Chinese electronics, food and beer are all favorites in Mohamed s life. He is just one of ... Yusuf Mohamed, a 45-year-old resident of Nairobi, has been a consumer of Chinese products and services for more than a decade. Chinese electronics, food and beer are all favorites in Mohamed s life. He is just one of a growing number of Kenyans who rely on Chinese goods and services. 展开更多
关键词 LIFE NUMBER
Ionic liquids in energy and environment 预览
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作者 Toshiyuki Itoh Masayoshi Watanabe Liangnian He 《绿色能源与环境:英文版》 CSCD 2019年第2期93-94,共2页
Ionic liquids (ILs) have received a great deal of attention because they are less-volatile, less-flammable, have low toxicity and unique solubility for many organic and inorganic materials, and these properties allow ... Ionic liquids (ILs) have received a great deal of attention because they are less-volatile, less-flammable, have low toxicity and unique solubility for many organic and inorganic materials, and these properties allow them to be used in various fields of sustainable sciences. Remarkable progress in the science of ILs has been accomplished during the past two decades;the number of publications of ILs reached more than 90,000 since 1999 to be present [1]. ILs are nowwell recognized as essential players in the fields of environmental benign synthesis, catalysts, extraction, electrochemistry, and biotechnology, and they also attract much attention as a key technology to promote the spread of renewable energy. 展开更多
关键词 ILS ENERGY NUMBER
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Robust Topology Optimization of Vehicle Suspension Control Arm 预览
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作者 Xiaokai Chen Cheng Zhang Qinghai Zhao 《北京理工大学学报:英文版》 EI CAS 2019年第3期626-634,共9页
A robust topology optimization design framework is developed to solve lightweight structural design problems under uncertain conditions. To enhance the calculation accuracy and flexibility of the statistical moments o... A robust topology optimization design framework is developed to solve lightweight structural design problems under uncertain conditions. To enhance the calculation accuracy and flexibility of the statistical moments of robust analysis, number theory integral method is applied to sample point selection and weight assignment. Both the structure topology optimization and number theory integral methods are combined to form a new robust topology optimization method. A suspension control arm problem is provided as a demonstration of robust topology optimization methods under loading uncertainties. Based on the results of deterministic and robust topology optimization, it is demonstrated that the proposed robust topology optimization method can produce a more robust design than that obtained by deterministic topology optimization. It is also found that this new approach is easy to apply in the existing commercial topology optimization software and thus feasible in practical engineering problems. 展开更多
关键词 ROBUST TOPOLOGY OPTIMIZATION (RTO) number theory INTEGRAL SUSPENSION control arm uncertainty DETERMINISTIC TOPOLOGY OPTIMIZATION (DTO)
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A Note on the Adaptive Simpler Block GMRES Method 预览
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作者 Qiaohua Liu Lei Yao Aijing Liu 《应用数学与计算数学学报(英文)》 2019年第3期435-447,共13页
The adaptive simpler block GMRES method was investigated by Zhong et al.(J Comput Appl Math 282:139-156, 2015) where the condition number of the adaptively chosen basis for the Krylov subspace was evaluated. In this p... The adaptive simpler block GMRES method was investigated by Zhong et al.(J Comput Appl Math 282:139-156, 2015) where the condition number of the adaptively chosen basis for the Krylov subspace was evaluated. In this paper, the new upper bound for the condition number is investigated. Numerical tests show that the new upper bound is tighter. 展开更多
关键词 Large-scale NONSYMMETRIC linear system Krylov SUBSPACE method ADAPTIVE simpler BLOCK GMRES Condition number
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