期刊文献+
共找到85篇文章
< 1 2 5 >
每页显示 20 50 100
The Explicit Expressions of Level- k(r1 ,r2 ,… ,rk) Circulant Matrices and Their Some Properties 被引量:3
1
作者 江兆林 叶留青 邓方安 《Chinese Quarterly Journal of Mathematics》 CSCD 1998年第2期91-96, ,共6页
In this paper,we give the explicit expressions of level k (r 1,r 2,…,r k) circulant matrices of order n 1n 2…n k,and the explicit expressions for the eigenvalues,the determinants and the inverse matrices of the kind... In this paper,we give the explicit expressions of level k (r 1,r 2,…,r k) circulant matrices of order n 1n 2…n k,and the explicit expressions for the eigenvalues,the determinants and the inverse matrices of the kind level k (r 1,r 2,…,r k) circulant matrices are derived,and it is also proved that the sort of matrices are diagonalizable. 展开更多
关键词 level-k (r 1 r 2 r k) circulant matrices explicit expressions EIGENVALUES inverse matrices
在线阅读 下载PDF
The Explicit Expressions of Level-k Circulant Matrices of Type(n_1,n_2.…,n_k) and Their Some Properties 被引量:2
2
作者 江兆林 郭运瑞 《Chinese Quarterly Journal of Mathematics》 CSCD 1996年第3期103-110,共8页
In this paper, we give the explicit expressions of level-k circulant matrices of type (n1,n2,…nk) and of order n1n2…nk,and the explicit expressions for the eigenvalues,the determinants and the inverse matrices of th... In this paper, we give the explicit expressions of level-k circulant matrices of type (n1,n2,…nk) and of order n1n2…nk,and the explicit expressions for the eigenvalues,the determinants and the inverse matrices of the kind level-k circulant matrices are derived,and it is also proved that the sort matrices are unitarily diagonalizable. 展开更多
关键词 level-k circulant matrices of type (n1 n2 nk) explicit expressions eigenvalues determinants inverse matrices unitarily diagonalizable
在线阅读 下载PDF
The Rank of Integral Circulant Graphs 被引量:1
3
作者 ZHO U Hou-qing 《Chinese Quarterly Journal of Mathematics》 CSCD 2014年第1期116-124,共9页
A graph is called an integral graph if it has an integral spectrum i.e.,all eigenvalues are integers.A graph is called circulant graph if it is Cayley graph on the circulant group,i.e.,its adjacency matrix is circulan... A graph is called an integral graph if it has an integral spectrum i.e.,all eigenvalues are integers.A graph is called circulant graph if it is Cayley graph on the circulant group,i.e.,its adjacency matrix is circulant.The rank of a graph is defined to be the rank of its adjacency matrix.This importance of the rank,due to applications in physics,chemistry and combinatorics.In this paper,using Ramanujan sums,we study the rank of integral circulant graphs and gave some simple computational formulas for the rank and provide an example which shows the formula is sharp. 展开更多
关键词 integral circulant graph EIGENVALUES RANK
在线阅读 下载PDF
A New Circulant Preconditioned GMRES Method for Solving Ordinary Differential Equation 被引量:1
4
作者 朱睦正 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第4期535-544,共10页
The preconditioned generalized minimal residual(GMRES) method is a common method for solving non-symmetric,large and sparse linear systems which originated in discrete ordinary differential equations by Boundary value... The preconditioned generalized minimal residual(GMRES) method is a common method for solving non-symmetric,large and sparse linear systems which originated in discrete ordinary differential equations by Boundary value methods.In this paper,we propose a new circulant preconditioner to speed up the convergence rate of the GMRES method, which is a convex linear combination of P-circulant and Strang-type circulant preconditioners. Theoretical and practical arguments are given to show that this preconditioner is feasible and effective in some cases. 展开更多
关键词 circulant preconditioner boundary value method ordinary differential equation(ODE) GMRES
在线阅读 下载PDF
Minimum Cycle of Row Vector of a Generalized Circulant Fuzzy Matrix
5
作者 冼国荣 陈卓荣 《Chinese Quarterly Journal of Mathematics》 CSCD 1997年第1期104-110, ,共7页
In this paper,we intreduce the concept and discuss the properties of minimum cycle of row vector in a generalized circulant Fuzzy matrix. We present a new expression for circulant Fuzzy matrix,and discuss some propert... In this paper,we intreduce the concept and discuss the properties of minimum cycle of row vector in a generalized circulant Fuzzy matrix. We present a new expression for circulant Fuzzy matrix,and discuss some properties of the idempotent elements of the semigroup of generalized circulant Fuzzy matrixes in connection with minimum cycle of row vector. 展开更多
关键词 generalized circulant Fuzzy matrix SEMIGROUP VECTOR CYCLE idempotent element
在线阅读 下载PDF
The Distance Energy of Circulant Graphs
6
作者 ZHOU Hou-qing 《Chinese Quarterly Journal of Mathematics》 2018年第3期233-239,共7页
For a connected graph G, the distance energy of G is a recently developed energytype invariant, defined as the sum of absolute values of the eigenvalues of the distance matrix G. A graph is called circulant if it is C... For a connected graph G, the distance energy of G is a recently developed energytype invariant, defined as the sum of absolute values of the eigenvalues of the distance matrix G. A graph is called circulant if it is Cayley graph on the circulant group, i.e., its adjacency matrix is circulant. In this note, we establish lower bounds for the distance energy of circulant graphs. In particular, we discuss upper bound of distance energy for the 4-circulant graph. 展开更多
关键词 DISTANCE EIGENVALUE DISTANCE ENERGY circulant GRAPH
在线阅读 下载PDF
Circulant矩阵构造准循环LDPC码的旋转环长分析法(英文)
7
作者 齐行行 DOUGLAS Leith 《吉林大学学报(信息科学版)》 2011年第3期213-220,共8页
低密度奇偶检验(QC-LDPC:Quasi-Cyclic Low-Density Parity-Check)码的环长分布影响决定着LDPC码的解码效果和编码复杂度,但其分析较困难。为此,首次提出旋转距离分析法,用于分析基于Circulant矩阵构造的准循环低密度奇偶校验码(QC-LDPC... 低密度奇偶检验(QC-LDPC:Quasi-Cyclic Low-Density Parity-Check)码的环长分布影响决定着LDPC码的解码效果和编码复杂度,但其分析较困难。为此,首次提出旋转距离分析法,用于分析基于Circulant矩阵构造的准循环低密度奇偶校验码(QC-LDPC码)的环分布,并给出了任何一个基于Circulant矩阵构造出的QC-LDPC码中的最小环长(girth)的上限(12)。同时,运用该方法,分析出一种权重为(3,5)的QC-LD-PC码的译码效果与该码环分布的关系。由于LDPC码奇偶校验矩阵中的Circulant子矩阵,可以被当成1个矩阵节点的单一节点看待,从而简化了整个码的特纳图,使寻找QC-LDPC码中闭环的方法变得简单。 展开更多
关键词 准循环低密度奇偶校验码(QC-LDPC) circulant矩阵 旋转距离分析 最小环长 环分布 矩阵Tanner图
在线阅读 下载PDF
The k-Diameter of a Kind of Circulant Graph
8
作者 张先迪 《Journal of Electronic Science and Technology of China》 2004年第4期72-75,共4页
The diameter of a graph G is the maximal distance between pairs of vertices of G. When a network is modeled as a graph,diameter is a measurement for maximum transmission delay. The k-diameter dk(G) of a graph G, which... The diameter of a graph G is the maximal distance between pairs of vertices of G. When a network is modeled as a graph,diameter is a measurement for maximum transmission delay. The k-diameter dk(G) of a graph G, which deals with k internally disjoint paths between pairs of vertices of G, is a extension of the diameter of G. It has widely studied in graph theory and computer science. The circulant graph is a group-theoretic model of a class of symmetric interconnection network. Let Cn(i, n / 2) be a circulant graph of order n whose spanning elements are i and n / 2, where n≥4 and n is even. In this paper, the diameter, 2-diameter and 3-diameter of the Cn(i, n / 2) are all obtained if gcd(n,i)=1, where the symbol gcd(n,i) denotes the maximum common divisor of n and i. 展开更多
关键词 DISTANCE DIAMETER k-distance k-diameter circulant graph
在线阅读 下载PDF
k-Diameter of Circulant Graph with Degree 3
9
作者 张先迪 李曼荔 《Journal of Electronic Science and Technology of China》 2005年第3期280-283,共4页
Parameters k-distance and k-diameter are extension of the distance and the diameter in graph theory. In this paper, the k-distance dk (x,y) between the any vertices x and y is first obtained in a connected circulant... Parameters k-distance and k-diameter are extension of the distance and the diameter in graph theory. In this paper, the k-distance dk (x,y) between the any vertices x and y is first obtained in a connected circulant graph G with order n (n is even) and degree 3 by removing some vertices from the neighbour set of the x. Then, the k-diameters of the connected circulant graphs with order n and degree 3 are given by using the k-diameter dk (x,y). 展开更多
关键词 DISTANCE DIAMETER k-distance k-diameter circulant graph
在线阅读 下载PDF
Integrated paralleling of NPC inverters with suppressed circulating current for high-power renewable energy conversion
10
作者 Weiwei Li Guoxiang Hua +1 位作者 Xing Huang Xueguang Zhang 《Global Energy Interconnection》 2025年第1期134-142,共9页
The development of renewable energy power generation for carbon neutrality and energy transition has been increasing worldwide,leading to an increasing demand for high-power conversion.Compared with traditional interl... The development of renewable energy power generation for carbon neutrality and energy transition has been increasing worldwide,leading to an increasing demand for high-power conversion.Compared with traditional interleaved paralleling,the integrated paralleling of three-level inverters can further reduce the output harmonics.Moreover,a well-designed switching sequence ensures that the average circulating current is zero,which provides a superior and feasible solution to satisfy the demands of high-power operations.However,a large instantaneous loop current exists between shunt converters,which leads to disadvantages such as higher switching device stress and loss.In this study,by utilizing the state-distribution redundancy provided by the integrated modulation process,a new design for switch-ing sequences is suggested for the integrated modulation of shunt three-level converters.This design aims to reduce the circulating current while better preserving the same output current harmonics than traditional parallel methods.The proposal includes an in-depth analysis and explanation of the implementation process.Finally,the proposed method is validated through simulations and prototype experi-ments.The results indicate that compared with traditional methods,the adoption of the improved switching sequence presented in this study leads to an average reduction of 3.2%in the total harmonic distortion of the inverter’s output and an average decrease of 32%in the amplitude of the circulating current.Both the output harmonics and circulating currents are significantly suppressed across various modulation indices. 展开更多
关键词 Circulating current Neutral point clamped Parallel operating inverters Space vector modulation
在线阅读 下载PDF
Machine learning for carbonate formation drilling: Mud loss prediction using seismic attributes and mud loss records
11
作者 Hui-Wen Pang Han-Qing Wang +4 位作者 Yi-Tian Xiao Yan Jin Yun-Hu Lu Yong-Dong Fan Zhen Nie 《Petroleum Science》 SCIE EI CAS CSCD 2024年第2期1241-1256,共16页
Due to the complexity and variability of carbonate formation leakage zones, lost circulation prediction and control is one of the major challenges of carbonate drilling. It raises well-control risks and production exp... Due to the complexity and variability of carbonate formation leakage zones, lost circulation prediction and control is one of the major challenges of carbonate drilling. It raises well-control risks and production expenses. This research utilizes the H oilfield as an example, employs seismic features to analyze mud loss prediction, and produces a complete set of pre-drilling mud loss prediction solutions. Firstly, 16seismic attributes are calculated based on the post-stack seismic data, and the mud loss rate per unit footage is specified. The sample set is constructed by extracting each attribute from the seismic trace surrounding 15 typical wells, with a ratio of 8:2 between the training set and the test set. With the calibration results for mud loss rate per unit footage, the nonlinear mapping relationship between seismic attributes and mud loss rate per unit size is established using the mixed density network model.Then, the influence of the number of sub-Gausses and the uncertainty coefficient on the model's prediction is evaluated. Finally, the model is used in conjunction with downhole drilling conditions to assess the risk of mud loss in various layers and along the wellbore trajectory. The study demonstrates that the mean relative errors of the model for training data and test data are 6.9% and 7.5%, respectively, and that R2is 90% and 88%, respectively, for training data and test data. The accuracy and efficacy of mud loss prediction may be greatly enhanced by combining 16 seismic attributes with the mud loss rate per unit footage and applying machine learning methods. The mud loss prediction model based on the MDN model can not only predict the mud loss rate but also objectively evaluate the prediction based on the quality of the data and the model. 展开更多
关键词 Lost circulation Risk prediction Machine learning Seismic attributes Mud loss records
在线阅读 下载PDF
Fracture sealing performance of granular lost circulation materials at elevated temperature:A theoretical and coupled CFD-DEM simulation study
12
作者 Chong Lin Qi-Cong Xu +4 位作者 Lie-Xiang Han Gao Li Hai He Hong-Ling Zhou Ji-Ping She 《Petroleum Science》 SCIE EI CAS CSCD 2024年第1期567-581,共15页
Lost circulation is a common downhole problem of drilling in geothermal and high-temperature,high-pressure(HTHP)formations.Lost circulation material(LCM)is a regular preventive and remedial measure for lost circulatio... Lost circulation is a common downhole problem of drilling in geothermal and high-temperature,high-pressure(HTHP)formations.Lost circulation material(LCM)is a regular preventive and remedial measure for lost circulation.However,conventional LCMs seem ineffective in high-temperature formations.This may be due to the changes in the mechanical properties of LCMs and their sealing performance under high-temperature conditions.To understand how high temperature affects the fracture sealing performance of LCMs,we developed a coupled computational fluid dynamics-discrete element method(CFD-DEM)model to simulate the behavior of granular LCMs in fractures.We summarized the literature on the effects of high temperature on the mechanical properties of LCMs and the rheological properties of drilling fluid.We conducted sensitivity analyses to investigate how changing LCM slurry properties affected the fracture sealing efficiency at increasing temperatures.The results show that high temperature reduces the size,strength,and friction coefficient of LCMs as well as the drilling fluid viscosity.Smaller,softer,and less frictional LCM particles have lower bridging probability and slower bridging initiation.Smaller particles tend to form dual-particle bridges rather than single-particle bridges.These result in a deeper,tighter,but unstable sealing zone.Reduced drilling fluid viscosity leads to faster and shallower sealing zones. 展开更多
关键词 Geothermal well drilling HTHP formationLost circulation material CFD-DEM Fracture sealing
在线阅读 下载PDF
A novel predictor of unsustained return of spontaneous circulation in cardiac arrest patients through a combination of capnography and pulse oximetry: a multicenter observational study
13
作者 Jing Yang Hanqi Tang +11 位作者 Shihuan Shao Feng Xu Yangyang Fu Shengyong Xu Chen Li Yan Li Yang Liu Joseph Harold Walline Huadong Zhu Yuguo Chen Xuezhong Yu Jun Xu 《World Journal of Emergency Medicine》 SCIE CAS CSCD 2024年第1期16-22,共7页
BACKGROUND:Unsustained return of spontaneous circulation(ROSC)is a critical barrier to survival in cardiac arrest patients.This study examined whether end-tidal carbon dioxide(ETCO_(2))and pulse oximetry photoplethysm... BACKGROUND:Unsustained return of spontaneous circulation(ROSC)is a critical barrier to survival in cardiac arrest patients.This study examined whether end-tidal carbon dioxide(ETCO_(2))and pulse oximetry photoplethysmogram(POP)parameters can be used to identify unsustained ROSC.METHODS:We conducted a multicenter observational prospective cohort study of consecutive patients with cardiac arrest from 2013 to 2014.Patients’general information,ETCO_(2),and POP parameters were collected and statistically analyzed.RESULTS:The included 105 ROSC episodes(from 80 cardiac arrest patients)comprised 51 sustained ROSC episodes and 54 unsustained ROSC episodes.The 24-hour survival rate was significantly higher in the sustained ROSC group than in the unsustained ROSC group(29.2%vs.9.4%,P<0.05).The logistic regression analysis showed that the difference between after and before ROSC in ETCO_(2)(ΔETCO_(2))and the difference between after and before ROCS in area under the curve of POP(ΔAUCp)were independently associated with sustained ROSC(odds ratio[OR]=0.931,95%confi dence interval[95%CI]0.881-0.984,P=0.011 and OR=0.998,95%CI 0.997-0.999,P<0.001).The area under the receiver operating characteristic curve ofΔETCO_(2),ΔAUCp,and the combination of both to predict unsustained ROSC were 0.752(95%CI 0.660-0.844),0.883(95%CI 0.818-0.948),and 0.902(95%CI 0.842-0.962),respectively.CONCLUSION:Patients with unsustained ROSC have a poor prognosis.The combination ofΔETCO_(2) andΔAUCp showed signifi cant predictive value for unsustained ROSC. 展开更多
关键词 Return of spontaneous circulation Pulse oximetry photoplethysmogram End-tidal carbon dioxide Cardiac arrest Cardiopulmonary resuscitation
在线阅读 下载PDF
Causal relationship between circulating vitamin C and 25-hydroxyvitamin D concentrations and common mental disorders-a Mendelian randomization study
14
作者 Yuanyuan Wang Lirong Dong +8 位作者 Meng Zhao Shiyu Yin Pan Da Dengfeng Xu Yifei Lu Jiayue Xia Niannian Wang Shaokang Wang Guiju Sun 《Food Science and Human Wellness》 SCIE CAS CSCD 2024年第4期1877-1885,共9页
Mental disorders seriously affect people’s health and social stability.This Mendelian randomization(MR)study was designed to investigate the causal relationship between circulating vitamin C(VC)or 25-hydroxyvitamin D... Mental disorders seriously affect people’s health and social stability.This Mendelian randomization(MR)study was designed to investigate the causal relationship between circulating vitamin C(VC)or 25-hydroxyvitamin D(25(OH)D)levels and mental disorders.The data used for the MR analysis were derived from the summary genome-wide association studies(GWAS)database for VC and 25(OH)D and from the Finn Gen consortium for fourteen mental disorders.Based on the inverse variance weighted(IVW)method,we found a potential causal association between circulating VC and anxiety disorders(IVW:OR=1.139,95%CI:1.023-1.269,P=0.018).However,no causal association was found between VC or 25(OH)D and other mental disorders(P>0.05).In the reverse MR analysis,individuals with Alzheimer’s disease was causally associated with higher concentrations of circulating VC(P=0.012),while individuals with anxiety disorders had a negative association between the concentrations of 25(OH)D(P=0.012).However,the current evidence does not support a causal relationship between VC or 25(OH)D and other mental disorders.In addition,there was no causal association between circulating VC and 25(OH)D(P>0.05).Future studies are needed to confirm these findings and to elucidate the mechanisms of potential causality. 展开更多
关键词 Circulating vitamin C 25-Hydroxyvitamin D Mental disorder Mendelian randomization
在线阅读 下载PDF
Platinum Nanoparticle-based Collision Electrochemistry for Rapid Detection of Breast Cancer MCF-7 Cells
15
作者 Fu-Xing Qin Ming-Ke Li +4 位作者 Hui-Long Zhou Wei Wen Xiu-Hua Zhang Sheng-Fu Wang Zhen Wu 《电化学(中英文)》 CAS 北大核心 2024年第10期19-27,共9页
Cancer metastasis is the leading cause of death in cancer patients worldwide and one of the major challenges in treating cancer.Circulating tumor cells(CTCs)play a pivotal role in cancer metastasis.However,the content... Cancer metastasis is the leading cause of death in cancer patients worldwide and one of the major challenges in treating cancer.Circulating tumor cells(CTCs)play a pivotal role in cancer metastasis.However,the content of CTCs in peripheral blood is minimal,so the detection of CTCs in real samples is extremely challenging.Therefore,efficient enrichment and early detection of CTCs are essential to achieve timely diagnosis of diseases.In this work,we constructed an innovative and sensitive single-nanoparticle collision electrochemistry(SNCE)biosensor for the detection of MCF-7 cells(human breast cancer cells)by immunomagnetic separation technique and liposome signal amplification strategy.Liposomes embedded with platinum nanoparticles(Pt NPs)were used as signal probes,and homemade gold ultramicroelectrodes(Au UME)were used as the working electrodes.The effective collision between Pt NPs and UME would produce distinguishable step-type current.MCF-7 cells were accurately quantified according to the relationship between cell concentration and collision frequency(the number of step-type currents generated per unit time),realizing highly sensitive and specific detection of MCF-7 cells.The SNCE biosensor has a linear range of 10 cells·mL^(-1)to 10^(5) cells·mL^(-1)with a detection limit as low as 5 cells·mL^(-1).In addition,the successful detection of MCF-7 cells in complex samples showed that the SNCE biosensors have great potential for patient sample detection. 展开更多
关键词 Circulating tumor cells Single-nanoparticle collision electrochemistry Immunomagnetic separation LIPOSOME Platinum nanoparticles
在线阅读 下载PDF
Research progress and development of deep and ultra-deep drilling fluid technology
16
作者 SUN Jinsheng YANG Jingbin +2 位作者 BAI Yingrui LYU Kaihe LIU Fengbao 《Petroleum Exploration and Development》 SCIE 2024年第4期1022-1034,共13页
The research progress of deep and ultra-deep drilling fluid technology systematically reviewed,the key problems existing are analyzed,and the future development direction is proposed.In view of the high temperature,hi... The research progress of deep and ultra-deep drilling fluid technology systematically reviewed,the key problems existing are analyzed,and the future development direction is proposed.In view of the high temperature,high pressure and high stress,fracture development,wellbore instability,drilling fluid lost circulation and other problems faced in the process of deep and ultra-deep complex oil and gas drilling,scholars have developed deep and ultra-deep high-temperature and high-salt resistant water-based drilling fluid technology,high-temperature resistant oil-based/synthetic drilling fluid technology,drilling fluid technology for reservoir protection and drilling fluid lost circulation control technology.However,there are still some key problems such as insufficient resistance to high temperature,high pressure and high stress,wellbore instability and serious lost circulation.Therefore,the development direction of deep and ultra-deep drilling fluid technology in the future is proposed:(1)The technology of high-temperature and high-salt resistant water-based drilling fluid should focus on improving high temperature stability,improving rheological properties,strengthening filtration control and improving compatibility with formation.(2)The technology of oil-based/synthetic drilling fluid resistant to high temperature should further study in the aspects of easily degradable environmental protection additives with low toxicity such as high temperature stabilizer,rheological regulator and related supporting technologies.(3)The drilling fluid technology for reservoir protection should be devoted to the development of new high-performance additives and materials,and further improve the real-time monitoring technology by introducing advanced sensor networks and artificial intelligence algorithms.(4)The lost circulation control of drilling fluid should pay more attention to the integration and application of intelligent technology,the research and application of high-performance plugging materials,the exploration of diversified plugging techniques and methods,and the improvement of environmental protection and production safety awareness. 展开更多
关键词 deep and ultra-deep drilling high temperature resistant drilling fluid reservoir protection drilling fluid lost circulation control safety and environmental protection technical prospects
在线阅读 下载PDF
Quantum quasi-cyclic low-density parity-check error-correcting codes 被引量:1
17
作者 李渊 曾贵华 Moon Ho Leeb 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第10期4154-4160,共7页
In this paper, we propose the approach of employing circulant permutation matrices to construct quantum quasicyclic (QC) low-density parity-check (LDPC) codes. Using the proposed approach one may construct some ne... In this paper, we propose the approach of employing circulant permutation matrices to construct quantum quasicyclic (QC) low-density parity-check (LDPC) codes. Using the proposed approach one may construct some new quantum codes with various lengths and rates of no cycles-length 4 in their Tanner graphs. In addition, these constructed codes have the advantages of simple implementation and low-complexity encoding. Finally, the decoding approach for the proposed quantum QC LDPC is investigated. 展开更多
关键词 quantum LDPC code quasi-cycliC circulant permutation matrix CSS code
在线阅读 下载PDF
EXPERIMENTAL STUDY ON NO TAIL ROTOR (NOTAR) HELICOPTER
18
作者 王华明 张呈林 罗晓平 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2001年第1期53-58,共6页
The circulation contr ol tail boom is a new technology used as an anti-torque system for the no tail rotor helicopter. In order to study the effect of the different parameters on th e circulation control tail boom, t... The circulation contr ol tail boom is a new technology used as an anti-torque system for the no tail rotor helicopter. In order to study the effect of the different parameters on th e circulation control tail boom, two models with the different circulation contr ol tail booms are designed and constructed. The experiments are introduced in th is paper by measuring the pressure distribution on the models in wind tunnel and under main rotor, respectively. By analyzing and discussing the experimental re sults, the effects of the momentum coefficient, the slot′s geometry parameters and the freestream velocity on the aerodynamic forces of the circulation control tail boom have been expounded, and the reasonable explanations about the test r esult have been given in theory. 展开更多
关键词 HELICOPTER no tail rot or (NOTAR) circulation control
在线阅读 下载PDF
BILINEAR FORMS AND LINEAR CODES
19
作者 高莹 《Acta Mathematica Scientia》 SCIE CSCD 2004年第1期100-106,共7页
Abraham Lempel et al made a connection between linear codes and systems of bilinear forms over finite fields. In this correspondence, a new simple proof of a theorem in [1] is presented; in addition, the encoding proc... Abraham Lempel et al made a connection between linear codes and systems of bilinear forms over finite fields. In this correspondence, a new simple proof of a theorem in [1] is presented; in addition, the encoding process and the decoding procedure of RS codes are simplified via circulant matrices. Finally, the results show that the correspondence between bilinear forms and linear codes is not unique. 展开更多
关键词 Bilinear forms linear codes Reed-Solomon codes BCH codes circulant matrices
在线阅读 下载PDF
A quantum algorithm for Toeplitz matrix-vector multiplication
20
作者 高尚 杨宇光 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第10期248-253,共6页
Toeplitz matrix-vector multiplication is widely used in various fields,including optimal control,systolic finite field multipliers,multidimensional convolution,etc.In this paper,we first present a non-asymptotic quant... Toeplitz matrix-vector multiplication is widely used in various fields,including optimal control,systolic finite field multipliers,multidimensional convolution,etc.In this paper,we first present a non-asymptotic quantum algorithm for Toeplitz matrix-vector multiplication with time complexity O(κpolylogn),whereκand 2n are the condition number and the dimension of the circulant matrix extended from the Toeplitz matrix,respectively.For the case with an unknown generating function,we also give a corresponding non-asymptotic quantum version that eliminates the dependency on the L_(1)-normρof the displacement of the structured matrices.Due to the good use of the special properties of Toeplitz matrices,the proposed quantum algorithms are sufficiently accurate and efficient compared to the existing quantum algorithms under certain circumstances. 展开更多
关键词 quantum algorithm Toeplitz matrix-vector multiplication circulant matrix
在线阅读 下载PDF
上一页 1 2 5 下一页 到第
使用帮助 返回顶部