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| 1 | Orthogonal arrays obtained by generalized difference matrices with g levels显示文摘Nowadays orthogonal arrays play important roles in statistics, computer science, coding theory and cryptography. The usual difference matrices are essential for the construction for many mixed orthogonal arrays. But there are also orthogonal arrays which cannot be obtained by the usual difference matrices, such as mixed orthogonal arrays of run size 60. In order to construct these mixed orthogonal arrays, a class of special so-called generalized difference matrices were discovered by Zhang (1989,1990,1993,2006) from the orthogonal decompositions of projection matrices. In this article, an interesting equivalent relationship between orthogonal arrays and the generalized difference matrices is presented and proved. As an application, a lot of new orthogonal arrays of run size 60 have been constructed. | ZHANG YingShan LI WeiGuo MAO ShiSong ZHENG ZhongGuo | 2011 | Science China Mathematics2011，54，1： | 11 |
| 2 | A SIMPLE METHOD FOR CONSTRUCTING ORTHOGONAL ARRAYS BY THE KRONECKER SUM显示文摘在这篇文章,我们建议一条新一般途径到构造不均匀的直角的数组,也就是 Kronecker 和。自从很多 newmixed 水平,直角的数组能被这个方法获得,有趣。 | Yingshan ZHANG Weiguo LI Shisong MAO Zhongguo ZHENG | 2006 | Journal of Systems Science & Complexity2006，19，2： | 8 |
| 3 | Complementation of Wild-Type and Drug-Resistant Hepatitis B Virus Genomes to Maintain Viral Replication and Rescue Virion Production under Nucleos(t)ide Analogs显示文摘As the open reading frames of hepatitis B virus(HBV)genomes are overlapping,resistance mutations(MTs)in HBV polymerase may result in stop codon MTs in hepatitis B surface proteins,which are usually detected as a mixed population with wild-type(WT)HBV.The question was raised how the coexistence of nucleos(t)ide analogs(NAs)resistance MTs and WT sequences affects HBV replication.In the present study,HBV genomes with frequently detected reverse transcriptase(RT)/surface truncation MTs,rtA181T/sW172^*,rtV191I/sW182^*and rtM204I/sW196^*,were phenotypically characterized alone or together with their WT counterparts in different ratios by transient transfection in the absence or presence of Nas.In the absence of Nas,RT/surface truncation MTs impaired the expression and secretion of HBV surface proteins,and had a dose-dependent negative effect on WT HBV virion secretion.However,in the presence of Nas,coexistence of MTs with WT maintained viral replication,and the presence of WT was able to rescue the production of MT HBV virions.Our findings reveal that complementation of WT and MT HBV genomes is highly effective under drug treatment. | Chunchen Wu Baolin Li Xiaoyong Zhang Kaitao Zhao Yingshan Chen Yifei Yuan Yan Liu Rongjuan Chen Dongping Xu Xinwen Chen Mengji Lu | 2019 | Virologica Sinica2019，34，4： | 4 |
| 4 | Orthogonal arrays of size 108 with six - level columns 显示文摘 | Shanqi Pang Yingshan Zhang | 2004 | SUT Journal of Mathematics2004，40，1： | 1 |
| 5 | Group partition and systems of orthogonal idempotents显示文摘 | Zhang Yingshan Pang Shanqi Jiao Zhenming | 1998 | Linear Algebra and its Application1998，278，： | 1 |
| 6 | Orthogonal arrays obtatined by orthogonal decomposition of projection matrices 显示文摘 | Zhang Yingshan Lu Yiqiang Pang Shanqi | 1999 | Statistica Sinica1999，9，： | 1 |
| 7 | Orthogonal arrays of size 108 with six-level columns显示文摘 | Shanqi Pang Yingshan Zhang | 2004 | SUT Journal of Mathematics2004，40，1： | 1 |
| 8 | A family of asymmetrical orthogonal arrays with run size 8p2 显示文摘 | Zhang Yingshan | 2010 | Advances and Applica- tions in Discrete Mathematics2010，6，2： | 1 |
| 9 | Asymmetrical orthogonal arrays with run size 84显示文摘 | Zhang Yingshan | 2008 | Journal of Shanxi University2008，31，3： | 1 |
| 10 | Construction of difference matrices D(rm(r + 1),b^m-1 a(b + 1); p) 显示文摘 | Zhang Yingshan | 2010 | Advances and Applications in Discrete Mathematics2010，6，2： | 1 |
| 11 | Orthogonal arrays obtained by orthogonal decomposition of projection matrices显示文摘 | Zhang Yingshan Lu Yiqiang Pang Shanqi | 1999 | Statistica Sinica1999，9，： | 1 |
| 12 | Orthogonal arrays obtained by generalized Hadamard product显示文摘 | Zhang Yingshan Pang Shanqi Wang Yiping | 2001 | Discrete Mathematics2001，238，： | 1 |
| 13 | Further results on the orthogonal arrays ob- tained by generalized Hadamard product显示文摘 | Pang Shanqi Zhang Yingshan Liu Sanyang | 2004 | Statistics and Probability Letters2004，68，： | 1 |
| 14 | Design of Experiment in Global Sensitivity Analysis Basedon ANOVA High-Dimensional Model Representation显示文摘 | Xiaodi Wang Yincai Tang Xueping Chen and Yingshan Zhang | 2010 | Commucation in statistics-Simulation and Compucation2010，39，6： | 1 |
| 15 | Orthogonal arrays for the estimation of global sensitivity indices based on hign-dimension model representation显示文摘 | Xiaodi Wang Yincai Tang Yingshan Zhang | 2011 | Communicasions in statistics-simulation and computation2011，40，9： | 1 |
| 16 | Orthogonal arrays of size 108 with six-level columns 显示文摘 | Shanqi Pang Yingshan Zhang | 2004 | SUT Journal of Mathematics2004，40，1： | 1 |
| 17 | Orthogo-nal arrays obtained by orthogonal decomposition of projection matrices显示文摘 | Zhang Yingshan Lu Yiqiang Pang Shanqi | | 0，，： | 1 |
| 18 | Orthogonal arrays obtained by orthogonal decomposition of projection matrices显示文摘 | Zhang Yingshan Lu Yiqiang Pang Shanqi | 1999 | Statistica Sinica1999，9，2： | 1 |
| 19 | Group partition and systems of orthogonal idempotents显示文摘 | Zhang Yingshan Pang Shanqi Jiao Zhengming | 1998 | Linear Algebra and its Applications1998，278，123： | 1 |
| 20 | Orthogonal arrays obtained by orthogonal decomposition of projection matrices显示文摘 | Zhang Yingshan Lu Yiqiang Pang Shanqi | 1999 | Statistica Sinica1999，9，2： | 1 |
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