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Multivariate Vandermonde Determinants and General Birkhoff Interpolation 被引量:1
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作者 朱平 《Northeastern Mathematical Journal》 CSCD 2005年第3期336-344,共9页
In this paper, we consider the Straight Line Type Node Configuration C (SLTNCC) in multivariate polynomial interpolation as the result of different kinds of transformations of lines (such as parallel translations, ... In this paper, we consider the Straight Line Type Node Configuration C (SLTNCC) in multivariate polynomial interpolation as the result of different kinds of transformations of lines (such as parallel translations, rotations). Corresponding to these transformations we define different kinds of interpolation problems for the SLTNCC. The expression of the confluent multivariate Vandermonde determinant of the coefficient matrix for each of these interpolation problems is obtained, and from this expression we conclude the related interpolation problem is unisolvent. Also, we give a kind of generalization of the SLTNCC in Section 5. As well, we obtain an expression of the interpolating polynomial for a kind of interpolation problem discussed in this paper. 展开更多
关键词 multivariate vandermonde determinant multivariate polynomial interpolation Birkhoff interpolation
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THE DOUBLE DETERMINANT OF VANDERMONDE'S TYPE OVER QUATERNION FIELD
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作者 侯仁民 赵旭强 王亮涛 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第9期1046-1053,共8页
Based on the double determinant theory the problem about the determinant of Vandermonde's type over quaternion field is studied, and a necessary and sufficient condition that this double determinant is not equal t... Based on the double determinant theory the problem about the determinant of Vandermonde's type over quaternion field is studied, and a necessary and sufficient condition that this double determinant is not equal to zero is got. 展开更多
关键词 quaternion field double determinant vandermonde determinant
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Recent advances in identification of male specificity determinant and its function in S-RNase-mediated gametophytic self-incompatibility
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作者 张琳 谭晓风 乌云塔娜 《Journal of Forestry Research》 SCIE CAS CSCD 2006年第2期124-128,共5页
S-RNase-mediated gametophytic self-incompatibility (GSI) is controlled by a multiallelic S-locus at which two separate genes, the female (pistil) and male (pollen) specificity determinants, are tightly linked. T... S-RNase-mediated gametophytic self-incompatibility (GSI) is controlled by a multiallelic S-locus at which two separate genes, the female (pistil) and male (pollen) specificity determinants, are tightly linked. This review described both the identification of pollen specific F-box genes, SLF/SFBs, in Antirrhinum, Petunia and Prunus species and the demonstration of SLF/SFB as pollen determinant together with their functions in GSI response. Recent studies of how the pollen determinant functions in pollination reaction revealed that pollen determinant interacted with S-RNases in a non-allele-specific manner. It targeted all of the non-self S-RNases for ubiquitination through a functional SCF complex and subsequent degradation via 26S proteasome pathway in compatible reaction. It allows pollen tube to reach into the embryo sac and to finish double fertilization. In incompatible response, the intact self S-RNases were left to function as a cytotoxin that degrades self-pollen tube RNA, resulting in the cessation of pollen tube growth. 展开更多
关键词 Gametophytic self-incompatibility Pollen specific F-box genes Male determinant sCF complex 26s proteasome pathway
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Overexpression of Kdm6b induces testicular differentiation in a temperature-dependent sex determination system
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作者 Qiran Chen Wei Sun +3 位作者 Lin Jin Yingjie Zhou Fang Li Chutian Ge 《Zoological Research》 SCIE CSCD 2024年第5期1108-1115,共8页
In reptiles,such as the red-eared slider turtle(Trachemys scripta elegans),gonadal sex determination is highly dependent on the environmental temperature during embryonic stages.This complex process,which leads to dif... In reptiles,such as the red-eared slider turtle(Trachemys scripta elegans),gonadal sex determination is highly dependent on the environmental temperature during embryonic stages.This complex process,which leads to differentiation into either testes or ovaries,is governed by the finely tuned expression of upstream genes,notably the testis-promoting gene Dmrt1 and the ovary-promoting gene Foxl2.Recent studies have identified epigenetic regulation as a crucial factor in testis development,with the H3K27me3 demethylase KDM6B being essential for Dmrt1 expression in T.s.elegans.However,whether KDM6B alone can induce testicular differentiation remains unclear.In this study,we found that overexpression of Kdm6b in T.s.elegans embryos induced the male development pathway,accompanied by a rapid increase in the gonadal expression of Dmrt1 at 31°C,a temperature typically resulting in female development.Notably,this sex reversal could be entirely rescued by Dmrt1 knockdown.These findings demonstrate that Kdm6b is sufficient for commitment to the male pathway,underscoring its role as a critical epigenetic regulator in the sex determination of the red-eared slider turtle. 展开更多
关键词 Temperature-dependent sex determination sex reversal Kdm6b DMRT1 T.s.elegans
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广义Vandermonde行列式及其应用
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作者 王振 王烜宁 《盐城工学院学报(自然科学版)》 CAS 2024年第1期42-46,共5页
介绍了广义Vandermonde行列式的来源、性质,然后利用Laplace展开定理得到广义Vandermonde行列式的计算公式,最后给出了广义Vandermonde行列式在行列式计算、多项式计算、向量空间等方面的应用。
关键词 vandermonde行列式 初等对称多项式 Laplace展开定理
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“I Felt Defeated. I Felt Helpless”: Social Determinants of Health Influencing the Cancer Survivorship of a Young Latina Mother 被引量:1
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作者 Adriena Hernandez Clara L. Reyes +1 位作者 Isela Garcia Rebecca L. Palacios 《Journal of Cancer Therapy》 CAS 2022年第7期440-449,共10页
Social determinants of health (SDOH) contribute to cancer disparities among young Latina women (<50 years) residing in the counties along the US-Mexico border. These SDOH are particularly burdensome to young Latina... Social determinants of health (SDOH) contribute to cancer disparities among young Latina women (<50 years) residing in the counties along the US-Mexico border. These SDOH are particularly burdensome to young Latina mothers diagnosed with cancer while they are raising school-age children. Conexiones, a culturally adapted program designed to improve mother and child adjustment to maternal cancer, was piloted with diagnosed Latina mothers residing in border counties in New Mexico and Texas. The purpose of this case analysis was to highlight the SDOH affecting a young Latina mother’s cancer survivorship in the U.S.-Mexico border region. The participant’s Conexiones education sessions were recorded, transcribed, translated to English, back translated to Spanish to establish accuracy, and inductively coded. The participant’s baseline survey indicated she was a young (<50 years), married, Spanish-speaking Latina mother diagnosed with breast cancer while raising a teenage daughter. Seventeen SDOH themes affecting the participant’s cancer experience were identified in the cancer-related emotional triggers she reported across five Conexiones sessions. These themes were organized using Yanez’s conceptual model of determinants of cancer outcomes in Hispanics (i.e., socioeconomic, healthcare, cultural context, and psychosocial). Findings provide direction for cultural adaptations of evidence-based programs. 展开更多
关键词 Cancer survivors LATINAs social determinants of Health U.s.-Mexico Border
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State-Based Determinants of Inward FDI Stock in the U.S. Economy
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作者 Lucyna Kornecki E. M. Ekanayake 《Journal of Modern Accounting and Auditing》 2012年第6期856-861,共6页
This paper has empirical character and investigates locational determinants of the inward foreign direct investment (FDI) stock among 50 states of the United States. The analysis uses annual data for the period from... This paper has empirical character and investigates locational determinants of the inward foreign direct investment (FDI) stock among 50 states of the United States. The analysis uses annual data for the period from 1997 to 2007. The study identifies several state-specific determinants of FDI and investigates the changes in their importance during the study period. Our results show that among the major determinants, the real per capita income, real per capita expenditure on education, FDI related employment, plus real research and development expenditure are found to have a significant positive impact on inward FDI. There is also evidence that manufacturing density and unionization exert a small positive impact on inward FDI. In addition, per capita state taxes, the share of scientists and engineers in the workforce, real capital expenditure, and unemployment rate exert a negative impact on FDI. 展开更多
关键词 U.s. economy inward foreign direct investment (FDI) determinants of FDl stock
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四元数体上的Vandermonde重行列式 被引量:3
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作者 侯仁民 赵旭强 王亮涛 《应用数学和力学》 EI CSCD 北大核心 1999年第9期977-984,共8页
讨论了四元数体上的 Vandermonde 重行列式问题,给出了 Vandermonde 重行列式不为零的充分必要条件·
关键词 四元数体 重行列式 范德蒙行列式 充要条件
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二类广义Vandermonde行列式的计算 被引量:9
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作者 苏翃 邱利琼 田坚 《大学数学》 北大核心 2008年第1期135-137,共3页
给出了二类广义Vandermonde行列式计算的显式表示式.
关键词 广义vandermonde行列式 显式表示式 Laplace定理
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Vandermonde矩阵的逆矩阵的一种显式算法 被引量:3
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作者 杨胜良 乔占科 《兰州理工大学学报》 CAS 北大核心 2004年第6期131-133,共3页
利用线性方程组理论给出了Lagrange插值公式的一个构造性证明,得到了Vandermonde矩阵的逆矩阵的一种显式算法.
关键词 Lagrange插值公式 行列式 线性方程组 vandermonde矩阵
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第三类广义Vandermonde行列式的计算 被引量:5
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作者 陈祥恩 程辉 +2 位作者 刘仲奎 乔虎生 柳顺义 《大学数学》 2012年第1期162-164,共3页
给出了第三类广义Vandermonde行列式的计算结果的显式表达式.
关键词 广义vandermonde行列式 Laplace定理
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准Vandermonde行列式 被引量:4
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作者 齐登记 《合肥工业大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第2期254-256,共3页
Vandermonde行列式的元素排列和行列式的值都具有高度对称性,是一个具有广泛应用的行列式。文章将其一般化,讨论分块形式的Vandermonde行列式-准Vandermonde行列式,运用矩阵分块运算方法和技巧,得到了相应的计算公式,从而推广了范德蒙... Vandermonde行列式的元素排列和行列式的值都具有高度对称性,是一个具有广泛应用的行列式。文章将其一般化,讨论分块形式的Vandermonde行列式-准Vandermonde行列式,运用矩阵分块运算方法和技巧,得到了相应的计算公式,从而推广了范德蒙德行列式。 展开更多
关键词 行列式 vandermonde行列式 vandermonde行列式
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超Vandermonde行列式的推广 被引量:2
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作者 汪小琳 《西北师范大学学报(自然科学版)》 CAS 2005年第6期91-93,共3页
推广了超Vandermonde行列式及它的计算公式.
关键词 vandermonde行列式 vandermonde行列式 数学归纳法
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Vandermonde行列式对Lagrange插值公式的应用 被引量:6
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作者 周芳 刘合国 《大学数学》 2013年第1期122-125,共4页
给出了广义Vandermonde行列式的一种求法,并运用它给出了Lagrange插值公式的几个证明.
关键词 vandermonde行列式 Lagrange插值公式 基本对称多项式
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一类广义Vandermonde矩阵的可逆条件及求逆公式 被引量:1
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作者 赵振华 苏翃 邱利琼 《大学数学》 2010年第3期196-201,共6页
利用广义Vandermonde行列式的显式表示式,给出了广义Vandermonde矩阵可逆的充要条件及求逆公式.
关键词 vandermonde矩阵 广义vandermonde行列式 逆矩阵
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广义Vandermonde行列式 被引量:3
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作者 王向东 《佛山科学技术学院学报(自然科学版)》 CAS 2001年第1期1-4,共4页
给出了通常的 Vandermonde行列式的一种推广形式 ,并计算出了所给出的广义Vandermonde行列式的值。
关键词 vandermonde行列式 广义vandermonde行列式 m维向量
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一类广义Vandermonde行列式的计算 被引量:3
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作者 魏杰 董珺 《兰州工业高等专科学校学报》 2009年第5期57-59,共3页
在线性代数的行列式计算中,Vandermonde行列式有很重要的作用.讨论了一类广义Vandermonde行列式,即Vandermonde行列式中缺行的形式的计算问题,并给出了一些重要的计算公式.推广了已知广义Vandermonde行列式的计算.
关键词 vandermonde行列式 广义vandermonde行列式 代数余子式
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增次广义Vandermonde矩阵 被引量:2
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作者 邱建霞 《大学数学》 北大核心 2005年第3期85-90,共6页
定义了增次广义Vandermonde矩阵,并利用反证法或行列式推得它们的秩和某些逆.
关键词 增次广义vandermonde矩阵 矩阵的秩 广义vandermonde行列式 矩阵的逆
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关于Vandermonde恒等式衍变式的推导与应用
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作者 杜瑞卿 王骁力 《南阳师范学院学报》 CAS 2013年第9期11-15,共5页
根据Vandermonde恒等式,提出了4个衍变式:①∑ki=0CinCk-in+k-1-i,②∑ki=1(-1)i-1CinCk-in+k-1-i,③∑ni=0Cia+iCn-ib+n-i,④∑ni=0(-1)iCia+iCn-ib+n-i,利用母函数法或行列式法进行了推导,得出了4个新的恒等式,并利用恒等式证明了杨... 根据Vandermonde恒等式,提出了4个衍变式:①∑ki=0CinCk-in+k-1-i,②∑ki=1(-1)i-1CinCk-in+k-1-i,③∑ni=0Cia+iCn-ib+n-i,④∑ni=0(-1)iCia+iCn-ib+n-i,利用母函数法或行列式法进行了推导,得出了4个新的恒等式,并利用恒等式证明了杨辉三角子行列式. 展开更多
关键词 vandermonde恒等式 衍变 母函数法 行列式法
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关于广义Vandermonde行列式的讨论 被引量:2
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作者 吴捷云 《安庆师范学院学报(自然科学版)》 2008年第4期73-75,88,共4页
著名的Vandermonde行列式不仅形式优美,还有着广泛的应用。对广义的Vandermonde行列式作进一步的探讨,解决了几类n阶广义Vandermonde行列式的计算问题。
关键词 广义 vandermonde行列式 计算
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