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| 1 | Uniformity pattern and related criteria for two-level factorials显示文摘In this paper,the study of projection properties of two-level factorials in view of geometry is reported.The concept of uniformity pattern is defined.Based on this new concept,criteria of uniformity resolution and minimum projection uniformity are proposed for comparing two-level factorials.Relationship between minimum projection uniformity and other criteria such as minimum aberration,generalized minimum aberration and orthogonality is made explict.This close relationship raises the hope of improving the connection between uniform design theory and factorial design theory.Our results provide a justification of orthogonality,minimum aberration,and generalized minimum aberration from a natural geometrical interpretation. | FANG Kaitai QIN Hong | 2005 | Science China Mathematics2005，48，1： | 16 |
| 2 | On the Lorenz Systems for the Incompressible Flow between Two Concentric Rotating Cylinders显示文摘 | WANG Heyuan LI Kaitai | 2010 | Journal of Partial Differential Equations2010，23，3： | 9 |
| 3 | THE NAVIER-STOKES EQUATIONS IN STREAM LAYER AND ON STREAM SURFACE AND A DIMENSION SPLIT METHODS显示文摘In this paper,we proposal stream surface and stream layer.By using classical tensor calculus,we derive 3-D Navier-Stokes Equations(NSE)in the stream layer under semigeodesic coordinate system,Navier-Stokes equation on the stream surface and 2-D Navier-Stokes equations on a two dimensional manifold. After introducing stream function on the stream surface,a nonlinear initial-boundary value problem satisfies by stream function is obtained,existence and uniqueness of its solution are proven.Based this theory we proposal a new method called'dimension split method'to solve 3D NSE. | Li Kaitai(李开泰) Huang Aixiang(黄艾香) | 2002 | Academic Journal of Xi'an Jiaotong University2002，，2： | 5 |
| 4 | Inactivation of LARS2, located at the commonly deleted region 3p21.3, by both epigenetic and genetic mechanisms in nasopharyngeal carcinoma显示文摘包括 3p21.3 区域,染色体 3p 的突变而产生之遗传的损失在 95100% 主要的鼻咽的癌(NPC ) 被发现活体检视,建议这个区域应该与 NPC 开发有关仔细怀有一些肿瘤 suppressor 基因(TSG ) 。在 3p21.3 定位的几 TSG 例如 RASSF1A, LTF 和 BLU,被表明了涉及 NPC 开发。LARS2 (leucyl-tRNA 合成酶 2, mitochondrial ) 另一基因位于染色体在 3p21.3 的 3 普通消除 region-1 (C3CER1 ) 。在这研究,我们在 NPC 集中了于 epigenetic 和 LARS2 的基因改变。LARS2 的 mRNA 表示被半量的反向的抄写聚合酶链反应(RTPCR ) 和即时 RTPCR 在 36 NPC 和 8 长期的鼻咽炎(NP ) 纸巾检测。随后, LARS2 的变化,突变而产生之遗传的损失,和 methylation 地位被聚合酶链 reaction-single-strand 符合构造多型性(PCR-SSCP ) 分析,同型结合的删除(HD ) 分析和 methylation 特定的聚合酶在主要 NPC 纸巾锁住反应。LARS2 的表示或下面规定都没在 78% 主要 NPC 纸巾被观察。没有变化,由定序的 PCR-SSCP 和 DNA 估计了,在倡导者区域和 exon 被发现在 NPC 纸巾的 1 LARS2,而 HD 在 LARS2 地点在 28% NPC 标本被检测。另外, LARS2 的 hypermethylation 在 64% NPC 样品被发现。我们的数据显示 LARS2 的那 inactivation 由基因并且 epigenetic 机制可以是在 NPC 的 carcinogenesis 的一个普通、重要的事件。 | Wen Zhou Xiangling Feng Hong Li Lei Wang Bin Zhu Weidong Liu Ming Zhao Kaitai Yao Caiping Ren | 2009 | Acta Biochimica et Biophysica Sinica2009，41，1： | 5 |
| 5 | Applications of the representative points in statistical simulations显示文摘The paper gives a new approach to statistical simulation and resampling by the use of numbertheoretic methods and representative points. Resempling techniques take samples from an approximate population. The bootstrap suggests to use a random sample to form an approximate population. We propose to construct some approximate population distribution by the use of two kinds of representative points, and samples are taken from these approximate distributions. The statistical inference is based on those samples. The statistical inference in this paper involves estimation of mean, variance, skewness, kurtosis, quantile and density of the population distribution. Our results show that the new method can significantly improve the results by the use of Monte Carlo methods. | FANG KaiTai ZHOU Min WANG WenJun | 2014 | Science China Mathematics2014，57，12： | 4 |
| 6 | LIOUVILLE-TYPE THEOREMS FOR SEMILINEAR ELLIPTIC SYSTEMS显示文摘 | Zhang Zhengce Wang Weimin Li Kaitai | 2005 | Journal of Partial Differential Equations2005，18，4： | 4 |
| 7 | Construction of optimal supersaturated designs by the packing method显示文摘A supersaturated design is essentially a factorial design with the equal occurrence of levels property and no fully aliased factors in which the number of main efits potential in factor screening experiments. A packing design is an important object in combinatorial design theory. In this paper, a strong link between the two apparently unrelated kinds of designs is shown. Several criteria for comparing supersaturated designs are proposed, their properties and connections with other existing criteria are discussed.A combinatorial approach, called the packing method, for constructing optimal supersaturated designs is presented, and properties of the resulting designs are also investigated.Comparisons between the new designs and other existing designs are given, which show that our construction method and the newly constructed designs have good properties. | FANG Kaitai GE Gennian LIU Minqian | 2004 | Science China Mathematics2004，47，1： | 4 |
| 8 | Boundary Shape Control of the Navier-Stokes Equations and Applications显示文摘In this paper, the geometrical design for the blade's surface in an impeller or for the profile of an aircraft, is modeled from the mathematical point of view by a boundary shape control problem for the Navier-Stokes equations. The objective function is the sum of a global dissipative function and the power of the fluid. The control variables are the geometry of the boundary and the state equations are the Navier-Stokes equations. The Euler-Lagrange equations of the optimal control problem are derived, which are an elliptic boundary value system of fourth order, coupled with the Navier-Stokes equations. The authors also prove the existence of the solution of the optimal control problem, the existence of the solution of the Navier-Stokes equations with mixed boundary conditions, the weak continuity of the solution of the Navier-Stokes equations with respect to the geometry shape of the blade's surface and the existence of solutions of the equations for the Gateaux derivative of the solution of the Navier-Stokes equations with respect to the geometry of the boundary. | Kaitai LI Jian SU Aixiang HUANG | 2010 | Chinese Annals of Mathematics,Series B2010，31，6： | 4 |
| 9 | An asymptotic analysis method for the linearly shell theory显示文摘In this paper, we consider a linearly elastic shell, I.e. A three-dimensional linearly elastic body with a small thickness denoted by 2ε, which is clamped along its part of the lateral boundary and subjected to the regular loads. In the linear case, one can use the two-dimensional models of Ciarlet or Koiter to calculate the displacement for the shell. Some error estimates between the approximate solution of these models and the three-dimensional displacement vector field of a flexural or membrane shell have been obtained. Here we give a new model for a linear and nonlinear shell, prove that there exists a unique solution U of the two-dimensional variational problem and construct a three-dimensional approximate solutions UKT(x,ξ) in terms of U:{ UKT(x,ξ):=U(x)+П1Uξ+П2Uξ2,П1U=-aαβ*▽βU3→eα-λ0γ0(U)→n,П2U=(1/λ+μ)*▽β(aαβλσ+γλσ(U))-bαβ*▽βU3)→eα+1/2λ0(ρKT0(U)-(1+λ0)Hγ0(U)-2β0(U))→n.We also provide the error estimates between our model and the three-dimensional displacement vector field:‖u-UKT‖1,(Ω)≤Cεr, r=3/2, an elliptic membrane, r=1/2, a general membrane,where C is a constant dependent only upon the data ‖u‖3,Ω, ‖UKT‖3,Ω, →θ. | LI Kaitai ZHANG Wenling HUANG Aixiang | 2006 | Science China Mathematics2006，49，8： | 4 |
| 10 | Some results on resolvable incomplete block designs显示文摘This paper is concerned with the uniformity of a certain kind of resolvable incomplete block (RIB for simplicity) design which is called the PRIB design here. A sufficient and necessary condition is obtained, under which a PRIB design is the most uniform in the sense of a discrete discrepancy measure, and the uniform PRIB design is shown to be connected. A construction method for such designs via a kind of U-type designs is proposed, and an existence result of these designs is given. This method sets up an important bridge between PRIB designs and U-type designs. | LIU Minqian & FANG Kaitai Department of Statistics, Nankai University, Tianjin 300071, China Department of Mathematics, Hong Kong Baptist University, Hong Kong, China | 2005 | Science China Mathematics2005，48，4： | 3 |
| 11 | NONCONFORMING FINITE ELEMENT PENALTY METHOD FOR STOKES EQUATION显示文摘NONCONFORMINGFINITEELEMENTPENALTYMETHODFORSTOKESEQUATIONSHIDONGYANG,FENGWEIBINGANDLIKAITAIAbstract.aspecialpenaltymethodispre... | SHI DONGYANG, FENG WEIBING AND LI KAITAI | 1998 | Applied Mathematics(A Journal of Chinese Universities)1998，13，1： | 3 |
| 12 | Cloning of a novel gene associated with human nasopharyngeal carcinoma显示文摘One EST N27741 with high expression in normal adult nasopharynx tissues but low expression in adult poorly differentiated squamous nasopharyngeal carcinoma has been selected out by the high-density cDNA array expression profiling technique. The differential expression has been confirmed by RT-PCR. One novel gene of 1096 bp has been cloned based on this EST. Bioinformatics analysis found that the new gene sequence contains a whole reading frame encoding 256 amino acids. There is a stop codon TAA in front of the 5’ end start codon, and a tailing signal AATAAA and poly A tail at the 3’ end. There is no homologous known gene found after searching by blasting this sequence to non-redundancy nucleotide database. Therefore it is considered a novel gene related to nasopharyngeal carcinoma. | Zhiwei He Lu Xie Liangguo Xu Ke Lan Weidong Liu Ling Zhang Caiping Ren Jianling Shi Wen Zhou Kaitai Yao | 2000 | Chinese Science Bulletin2000，45，24： | 2 |
| 13 | Elevated expression of lung development-related protein HSP9O0 indicates poor prognosis in non-small cell lung cancer through affecting the cell cycle and apoptosis显示文摘Dear Editor,Oncogenesis was considered to be similar to the early embryonic development process in a variety of ways.1 Using normal development samples as research models will help us understand tumors and identify potential biomarkers.Heat-shock protein 90 beta(HSP90P,HSP90AB1)is one of the major isoforms of HSP90 and is involved in embryonic development,signal transduction,and cellular adaptability. | Xiang Wang Yaru Wang Lin Feng Minghui Wang Kaitai Zhang Yousheng Mao Ting Xiao Shujun Cheng | 2021 | Signal Transduction and Targeted Therapy2021，6，3： | 2 |
| 14 | A DECOUPLING METHOD WITH DIFFERENT SUBDOMAIN TIME STEPS FOR THE NON-STATIONARY NAVIER-STOKES/DARCY MODEL显示文摘有为非静止的 Navier-Stokes/Darcy 模型的不同子域时间步的一个去耦方法被提出并且分析。方法有异步的时间步,它在多孔的区域在液体区域和大时间步采用小时间步。它相对节省大量中央处理器时间。方法的稳定性和集中被证明。数字结果被介绍说明建议方法的特征。 | Huiyong Jia Peilin Shi Kaitai Li Hongen Jia | 2017 | Journal of Computational Mathematics2017，35，3： | 2 |
| 15 | Mixed finite element for two-dimensional incompressible convective Brinkman-Forchheimer equations显示文摘In this work, the two-dimensional convective Brinkman-Forchheimer equa- tions are considered. The well-posedness for the variational problem and its mixed finite element approximation is established, and the error estimates based on the conforming approximation are obtained. For the computation, a one-step Newton (or semi-Newton) iteration algorithm initialized using a fixed-point iteration is proposed. Finally, numerical experiments using a Taylor-Hood mixed element built on a structured or unstructured triangular mesh are implemented. The numerical results obtained using the algorithm are compared with the analytic data, and are shown to be in very good agreement. Moreover, the lid-driven problem at Reynolds numbers of 100 and 400 is considered and analyzed. | Demin LIU Kaitai LI | 2019 | Applied Mathematics and Mechanics(English Edition)2019，40，6： | 2 |
| 16 | Overexpressed DNA-binding protein inhibitor 2 as an unfavorable prognosis factor promotes cell proliferation in nasopharyngeal carcinoma显示文摘现在的学习的目的是在鼻咽的癌(NPC ) 和它与 clinicopathological 特征的关联分析 DNA 有约束力的蛋白质禁止者 2 的表示(ID2 ) 。ID2 的表示显著地在 NPC 房间被增加,这被发现什么时候与那相比在 NP69 房间线。ID2 细胞质的表示的类似的水平在 NPC 被观察什么时候与那相比在非癌的鼻咽纸巾。然而,在原子核的 ID2 的水平在 NPC 被增加什么时候与那相比在正常鼻咽纸巾。而且,原子 ID2 的更高的表示水平显著地与肿瘤被联系尺寸(T 分类) ,淋巴节点转移(N 分类) ,和临床的舞台。有增加的 ID2 表示水平的病人与低 ID2 层次比那些有更差的全面幸存率。在由调停 lentiviral 的短发卡 RNA 的 NPC 房间线 SUNE1 的 ID2 表示的抑制能压制房间增长和殖民地形成,但是没破坏房间移植。由 RNA 干扰将 ID2 的表示击倒能下面调整蜗牛的表示,建议那支持 ID2 的房间生长,部分在 NPC 归因于蜗牛活动的规定。我们的学习证明 ID2 蛋白质的在表示上是在 NPC 支持房间增长的一个相反的预示的因素。 | Zhen Liu Jing Chen Weiren Luo Huiling Yang Aibing Wu Yan Zhen Xiaoli Yu Hao Wang Kaitai Yao | 2012 | Acta Biochimica et Biophysica Sinica2012，44，6： | 2 |
| 17 | Profiling gene expression patterns of nasopharyngeal carcinoma and normal nasopharynx tissues with cDNA microarray显示文摘5 μg of total RNAs from normal nasopharynx and nasopharyngeal carcinoma tissue have been labeled with α-32P-dCTP during reverse transcription. The synthesized cDNA probes have been hybridized to high-density cDNA microarray containing 5184 genes or expression sequence tags (ESTs). Then image analysis software has been applied to comparing their expression profiles. Results show that 187 ESTs were of density value above 200 in nasopharyngeal carcinoma tissue while there were 307 such ESTs in normal nasopharynx tissue; 38 ESTs were strongly expressed in nasopharynx, but weakly expressed in nasopharyngeal carcinoma; 48 ESTs were strongly expressed in nasopharyngeal carcinoma, but weakly expressed in normal nasopharynx. These results suggest that there may exist some new differentially expressed genes involved in nasopharyngeal carcinoma development. Furthermore, the results strongly indicate that high-density cDNA microarray is a powerful and efficient tool for large-scale screening differentially | Zhiwei He Caiping Ren Liangguo Xu Weidong Liu Lu Xie Zhongkui Li Kaitai Yao | 2000 | Chinese Science Bulletin2000，45，9： | 2 |
| 18 | Fuzzy filters of BL-algebras 显示文摘 | LIU Lianzhen L1 Kaitai | 2005 | Information Sciences2005，173，： | 1 |
| 19 | Mathematical aspect of the stream-function equations of compressible turbomachinery flows and their finite element approximation using optimal control显示文摘 | Huang Aixiang | 1983 | Comp Meth Appl Mech and Eng 411983，，： | 1 |
| 20 | Fuzzy implicative and Boolean filters of R0 algebras 显示文摘 | Liu Lianzhen Li Kaitai | 2005 | Information Sciences2005，171，13： | 1 |
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