反序性

Bordered matrix has very wide applications in the matrix theory, many specialists and scholars had studied bordered matrices before.

本节在P-SVD中通过构造特殊的非奇异矩阵，详尽地揭示了两个矩阵乘积{1，3}-和{1，4}-逆的结构，从而最终解决了两个矩阵乘积{1，3}-和{1，4}-逆的反序律，并得到了两个矩阵乘积伪逆反序律的一个新的等价性条件。

In chapter I, we introduce the Jordan-Wigner transformation in detail, and illustrate its applications with three examples: the one-dimensional S = 1 XXZ model; the bilinear-biquadratic SU(2) invariant S = 1 chain; and the ionic Hubbard chain in the strong coupling limit. In chapter II, we review the S = 1/2 transverse Ising chain in detail.

在变换后发现隐藏在自旋为1的系统里自旋为1/2的SU(2)对称性及广义的U(1)规范对称性；(3)通过将推广的强耦合极限下的一维离子型Hubbard 模型变换为SU(3)反铁磁Heisenberg 模型，严格论证了离子型Hubbard 模型从能带绝缘体到莫特绝缘体的转变区域中自发二聚化绝缘体铁电性相即键序波相的存在。

On the one hand,by using the monotone iterative method with upper and lower solutions or anti-order upper and lower solutions,the author obtains the existence of maximum solution and minimum solution.

存Banach空间，一方面运用一般上下解及反序上下解单调迭代方法，并结合非紧性测度的性质，研究了二阶常微分方程周期边值问题最大解与最小解的存在性。

This paper introduces the transformation formulas of reciprocal judgement matrix and complementary judgement matrix, and presents the relationship between the perfectly consistent reciprocal judgement matrix and perfectly consistent complementary judgement matrix.

引进了互反判断矩阵与互补判断矩阵之间的转换公式，介绍了完全一致性互反判断矩阵和完全一致性互补判断矩阵之间的关系。提出了 3种基于互反判断矩阵的互补判断矩阵排序方法，详细地研究了它们的一些优良性质，如：强条件下保序性等，并进一步把这些方法推广到群体决策环境中。

A reflexive relation that is also transitive is a preorder .

满足传递性的自反关系称为预序关系。

The stable clones are further identified by RT-PCR and Western blot; 6 MTT assay is used to investigate the effect of ZNRD1 on the cell growth of cells (AGS, SGC7901, MKN28, NIH3T3, GES-1); 7 Soft agar assay is used to investigate the effect of ZNRD1 on the clonality of cells (AGS, MKN28); 8 Nude mice assay is used to investigate the effect of ZNRD1 on the cell growth of gastric cancer cells (AGS, MKN28); 9 Flow cytometry is used to investigate the effect of ZNRD1 on the cell cycle distribution of cells (AGS, MKN28, NIH3T3, GES-1); 10 Flow cytometry is used to investigate the effect of ZNRD1 on the cell apoptosis of cells (AGS, MKN28, NIH3T3); 11 MTT assay is used to investigate the effect of ZNRD1 on the drug sensitivity of cancer cells (SGC7901, SGC7901/VCR, HL-60, HL-60/VCR) in vitro; 12 SRCA is used to investigate the effect of ZNRD1 on the drug sensitivity of gastric cancer cells (SGC7901, SGC7901/VCR) in vivo; 13 Flow cytometry is used to investigate the effect of ZNRD1 on adriamycin accumulation of cancer cells (SGC7901, SGC7901/VCR, HL-60, HL-60/VCR); 14 Transmission electron microscope is used to investigate the effect of ZNRD1 on the sensitivity of SGC7901 cells towards drug-induced apoptosis; 15 Flow cytometry and DNA ladder assay are used to investigate the effect of ZNRD1 on the sensitivity of cells (SGC7901, SGC7901/VCR, HL-60/VCR) towards drug-induced apoptosis; 16 Microarray is used to investigate the profiling of ZNRD1-responsive genes in gastric cancer cells (AGS, MKN28, SGC7901, SGC7901/VCR); 17 RT-PCR and Western blot are used to identify the results of microarray; 18 Reporter gene assay is used to investigate the effect of ZNRD1 on the transcriptional activity of cyclin D1; 19 Reporter gene assay is used to investigate the effect of ZNRD1 on the transcriptional activity of MDR1; 20 Kinase assay is used to investigate the effect of ZNRD1 on the activity of cyclin E-CDK2 kinase; 21 The antisensenucleic acids of p21 is used to inhibit the expression of p21, and flow cytometry is used to investigate the effect of p21 on ZNRD1-induced cell cycle arrest in gastric cancer cells; 22 The antisensenucleic acids of p27 is used to inhibit the expression of p27, and flow cytometry is used to investigate the effect of p27 on ZNRD1-induced cell cycle arrest in gastric cancer cells; 23 Liposome is used to up-regulate the expression of Skp2, and flow cytometry is used to investigate the effect of Skp2 on ZNRD1-induced cell cycle arrest in gastric cancer cells; 24 Western blot is used to investigate the effect of ZNRD1 on the stability of Skp2 and p27 in gastric cancer cells; 25 MVD assay is used to investigate the effect of ZNRD1 on the angiopoietic activity of gastric cancer cells; 26 ELISA is used to investigate the effect of ZNRD1 on the expression of VEGF165 in gastric cancer cells; 27 The roles of DARPP-32 in MDR of gastric cancer cells are investigated using gene transfection, MTT assay, SRCA, flow cytometry and DNA ladder assay.

应用杂交瘤技术制备ZNRD1的首个单克隆抗体；2）利用RT-PCR、Western blot和免疫组化检测ZNRD1在胃癌组织、胃炎组织、正常胃上皮组织、胃癌细胞和正常胃组织上皮细胞中的表达；3）构建ZNRD1的小干扰RNA载体，并测序鉴定；4）利用脂质体将ZNRD1的真核表达载体及其空载体转染胃癌细胞（AGS、SGC7901、MKN28）和小鼠成纤维细胞（NIH3T3），G418筛选后进行鉴定；5）利用脂质体将ZNRD1的小干扰RNA载体及其空载体转染药敏胃癌细胞（SGC7901）、正常胃组织上皮细胞（GES-1）、对长春新碱耐药的胃癌细胞（SGC7901/VCR）、药敏白血病细胞（HL-60）、对长春新碱耐药的白血病细胞（HL-60/VCR），G418筛选后进行鉴定；6）利用MTT实验检测ZNRD1高/低表达对细胞（AGS、SGC7901、MKN28、NIH3T3、GES-1）生长的影响；7）通过软琼脂克隆形成实验检测上调ZNRD1对AGS、MKN28细胞克隆形成能力的影响；8）通过裸鼠成瘤实验检测上调ZNRD1对AGS、MKN28细胞体内成瘤性的影响；9）通过流式细胞仪分析ZNRD1高/低表达对细胞（AGS、MKN28、NIH3T3、GES-1）的细胞周期的影响；10）通过流式细胞仪分析上调ZNRD1对细胞（AGS、MKN28、NIH3T3）的凋亡的影响；11）通过MTT实验检测ZNRD1高/低表达对细胞（SGC7901、SGC7901/VCR、HL-60、HL-60/VCR）体外药物敏感性的影响；12）通过肾包膜下移植法检测ZNRD1高/低表达对细胞（SGC7901、SGC7901/VCR）体内药物敏感性的影响；13）通过流式细胞仪分析ZNRD1高/低表达对细胞（SGC7901、SGC7901/VCR、HL-60、HL-60/VCR）内阿霉素蓄积和泵出的影响；14）通过透射电镜检测上调ZNRD1对SGC7901细胞凋亡敏感性的影响；15）通过流式细胞仪和DNA梯度试验检测ZNRD1高/低表达对细胞（SGC7901、SGC7901/VCR、HL-60）凋亡敏感性的影响；16）通过基因芯片检测ZNRD1高/低表达对胃癌细胞内基因表达谱的影响；17）利用RT-PCR、Western blot对基因芯片的结果进行鉴定；18）利用报告基因实验检测ZNRD1对cyclin D1的启动子活性的调节作用；19）利用报告基因实验检测ZNRD1高/低表达对MDR1的启动子活性的调节作用；20）利用激酶试验检测ZNRD1对cyclin E-CDK2 激酶活力的影响；21）利用反义核酸技术抑制p21的表达；通过流式细胞仪检测抑制p21对ZNRD1介导的细胞周期阻滞的影响；22）利用反义核酸技术抑制p27的表达；通过流式细胞仪检测抑制p27对ZNRD1介导的细胞周期阻滞的影响；23）利用脂质体转染法上调Skp2的表达；通过流式细胞仪检测上调Skp2对ZNRD1介导的细胞周期阻滞的影响；24）利用Western blot检测ZNRD1对p27和Skp2的蛋白稳定性的影响；25）利用微血管密度实验检测ZNRD1对AGS、MKN28细胞裸鼠移植瘤微血管形成的影响；26）利用ELISA检测ZNRD1对AGS、MKN28细胞培养上清和移植瘤匀浆中VEGF165含量的影响；27）利用脂质体转染法、MTT实验、肾包膜下移植法、流式细胞仪和DNA梯度试验检测新耐药相关分子DARPP-32对细胞（SGC7901、SGC7901/VCR、对阿霉素耐药的胃癌细胞SGC7901/ADR）多药耐药表型的影响；利用脂质体转染法和MTT实验检测下调ZNRD1对DARPP-32介导的胃癌多药耐药的调控作用。

In this part, we mainly mention the history and some applications of generalized inverses, development and generality of singular value decomposition, list the main results and the innovation of this paper.

本文通过分别构造特殊的非奇异矩阵，得到了{1，3}-和{1，4}-逆的反序律，系统地解决了加边矩阵M=的广义逆问题，并给出了分块矩阵关于广义逆块独立的等价性条件。

The existence and uniqueness of solutions of third-order three-points boundary value problems with lower and upper solutions were studied.

研究了反序上下解条件下三阶微分方程三点边值问题解的存在性与唯一性。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。