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Ideal balanced pairs in extriangulated categories
《Science China Mathematics》2025年第2期271-284,共14页Rongrong Xu Xianhui Fu 
supported by National Natural Science Foundation of China(Grant No.12071064);Natural Science Foundation of Jilin Province of China(Grant No.YDZJ202101ZYTS168)。
Let C=(C,E,s)be an extriangulated category.In this paper,we give the notion of ideal balanced pairs in C and some equivalent characterizations of ideal balanced pairs.We show that there is a one-to-one correspondence ...
关键词:extriangulated category ideal balanced pair strong-precovering ideal ideal cotorsion pair 
Scalar curvatures in almost Hermitian geometry and some applications被引量:1
《Science China Mathematics》2022年第12期2583-2600,共18页Jixiang Fu Xianchao Zhou 
supported by National Natural Science Foundation of China(Grant Nos.10831008,11025103 and 11501505)。
On an almost Hermitian manifold, there are two Hermitian scalar curvatures associated with a canonical Hermitian connection. In this paper, two explicit formulas on these two scalar curvatures are obtained in terms of...
关键词:J-scalar curvature canonical Hermitian connection Hermitian scalar curvature the first Chern form balanced metric k-Gauduchon metric 
Compensated split-step balanced methods for nonlinear stiff SDEs with jump-diffusion and piecewise continuous arguments被引量:1
《Science China Mathematics》2020年第12期2573-2594,共22页Ying Xie Chengjian Zhang 
supported by National Natural Science Foundation of China(Grant No.11971010);Scientific Research Project of Education Department of Hubei Province(Grant No.B2019184)。
This paper deals with numerical solutions of nonlinear stiff stochastic differential equations with jump-diffusion and piecewise continuous arguments.By combining compensated split-step methods and balanced methods,a ...
关键词:stiff stochastic differential equation jump diffusion piecewise continuous argument compensated split-step balanced method strong convergence mean-square exponential stability 
Balanced augmented jackknife empirical likelihood for two sample U-statistics
《Science China Mathematics》2018年第6期1129-1138,共10页Conghua Cheng Yiming Liu Zhi Liu Wang Zhou 
supported by the Natural Science Foundation of Guangdong Province(Grant No.2016A030307019);the Higher Education Colleges and Universities Innovation Strong School Project of Guangdong Province(Grant No.2016KTSCX153);Science and Technology Development Fund of Macao(Grant No.127/2016/A3);National Natural Science Foundation of China(Grant No.11401607);a grant at the National University of Singapore(Grant No.R-155-000-181-114)
In this paper, we investigate the two sample U-statistics by jackknife empirical likelihood(JEL),a versatile nonparametric approach. More precisely, we propose the method of balanced augmented jackknife empirical like...
关键词:jackknife empirical likelihood U-STATISTICS ROC curves balanced augmented empirical likelihood 
Applications of balanced pairs被引量:3
《Science China Mathematics》2016年第5期861-874,共14页LI HuanHuan WANG JunFu HUANG ZhaoYong 
supported by National Natural Science Foundation of China(Grant No.11171142)
Let(X, Y) be a balanced pair in an abelian category. We first introduce the notion of cotorsion pairs relative to(X, Y), and then give some equivalent characterizations when a relative cotorsion pair is hereditary or ...
关键词:balanced pairs relative cotorsion pairs relative derived categories relative singularity categories relative(co)resolution dimension 
Judicious partitions of weighted hypergraphs
《Science China Mathematics》2016年第3期609-616,共8页XU Xin YAN Gui Ying ZHANG Yao 
National Natural Science Foundation of China (Grant Nos. 11371355 and 11471193)
Let G be a weighted hypergraph with edges of size i for i = 1, 2. Let wi denote the total weight of edges of size i and α be the maximum weight of an edge of size 1. We study the following partitioning problem of Bol...
关键词:judicious partition balanced bipartition weighted hypergraph 
Monomorphism categories associated with symmetric groups and parity in finite groups
《Science China Mathematics》2013年第3期525-530,共6页ZHANG YueHui 
Monomorphism categories of the symmetric and alternating groups are studied via Cayley's Em-bedding Theorem. It is shown that the parity is well defined in such categories. As an application, the parity in a finite gr...
关键词:monomorphism categories Cayley’s theorem PARITY balanced group 
Near generalized balanced tournament designs with block sizes 4 and 5
《Science China Mathematics》2009年第9期1927-1938,共12页SHAN XiuLing1, 2 1 Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China 2 College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016, China 
supported by National Natural Science Foundation of China (Grant Nos.10771051,10831002)
A near generalized balanced tournament design, or an NGBTD(k,m) in short, is a (km+1,k,k-1)-BIBD defined on a (km+1)-set V . Its blocks can be arranged into an m×(km+1) array in such a way that (1) the blocks in ever...
关键词:near generalized balanced tournament designs frame generalized doubly resolvable packing constructions existence 05B05 
Empirical likelihood for balanced ranked-set sampled data被引量:1
《Science China Mathematics》2009年第6期1351-1364,共14页LIU TianQing LIN Nan ZHANG BaoXue 
supported by National Natural Science Foundation of China (Grant No. 10871037)
Ranked-set sampling(RSS) often provides more efficient inference than simple random sampling(SRS).In this article,we propose a systematic nonparametric technique,RSS-EL,for hypoth-esis testing and interval estimation ...
关键词:empirical likelihood ranked-set sampling testing hypotheses confidence interval estimating equation 62G10 
Purely tetrahedral quadruple systems被引量:1
《Science China Mathematics》2006年第10期1327-1340,共14页JI Lijun 
This work was partially supported by the Tianyuan Mathematics Foundation of NSFC(Grant No.10526032);the Natural Science Foundation of Universities of Jiangsu Province(Grant No.05KJB110111).
An oriented tetrahedron is a set of four vertices and four cyclic triples with the property that any ordered pair of vertices is contained in exactly one of the cyclic triples. A tetrahedral quadruple system of order ...
关键词:large set  t-wise BALANCED design  MENDELSOHN TRIPLE system  quadruple system. 
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