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 t...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.展开更多
Epigenetics plays a large role in various aspects of plant biology,including development,response to biotic and abiotic stresses,silencing of transposable elements,and maintenance of genome stability.In plants,epigene...Epigenetics plays a large role in various aspects of plant biology,including development,response to biotic and abiotic stresses,silencing of transposable elements,and maintenance of genome stability.In plants,epigenetic regulation involves histone and DNA modifications and noncoding RNAs including small RNAs（s RNAs）and long noncoding RNAs（lnc RNAs）.This issue of Science China Life Sciences includes five review articles and eight research展开更多
基金supported by Visiting Scholar Foundation of Key Lab in University and by National Natural Science Foundation of China (Grant No. 10571045)Specialized Research Fund for the Doctoral Program of Higher Education of Ministry of Education of China (Grant No. 44k55050)
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.
文摘Epigenetics plays a large role in various aspects of plant biology,including development,response to biotic and abiotic stresses,silencing of transposable elements,and maintenance of genome stability.In plants,epigenetic regulation involves histone and DNA modifications and noncoding RNAs including small RNAs（s RNAs）and long noncoding RNAs（lnc RNAs）.This issue of Science China Life Sciences includes five review articles and eight research
