In this paper, we shall mainly study the p-solvable finite group in terms of p-local rank, and a group theoretic characterization will be given of finite p-solvable groups with p-local rank two.Theorem A Let G be a fi...In this paper, we shall mainly study the p-solvable finite group in terms of p-local rank, and a group theoretic characterization will be given of finite p-solvable groups with p-local rank two.Theorem A Let G be a finite p-solvable group with p-local rank plr(G) = 2 and Op(G) = 1. If P is a Sylow p-subgroup of G, then P has a normal subgroup Q such that P/Q is cyclic or a generalized quaternion 2-group and the p-rank of Q is at most two.Theorem B Let G be a finite p-solvable group with Op(G) = 1. Then the p-length lp(G) < plr(G); if in addition plr(G) = 1p(G) and p > 5 is odd, then plr(G) = 0 or 1.展开更多
In this article thc concept of local conjugation of a C^1 mapping between two Banach manifolds is introduced. Thcn a rank theorem for nonlinear scmi-Fredholm operators between two Banach manifolds and a finite rank th...In this article thc concept of local conjugation of a C^1 mapping between two Banach manifolds is introduced. Thcn a rank theorem for nonlinear scmi-Fredholm operators between two Banach manifolds and a finite rank theorem are established in global analysis.展开更多
目的探讨OPG、RANK、RANKL对乳腺癌新辅助化疗敏感性的预测价值。方法采用前瞻性非随机临床对照研究,纳入204例TNM分期为Ⅱ~Ⅲ期浸润性乳腺癌患者,选取66例健康体检者血清作为对照组,根据实体瘤彩超、病理评价标准将乳腺癌患者分为化疗...目的探讨OPG、RANK、RANKL对乳腺癌新辅助化疗敏感性的预测价值。方法采用前瞻性非随机临床对照研究,纳入204例TNM分期为Ⅱ~Ⅲ期浸润性乳腺癌患者,选取66例健康体检者血清作为对照组,根据实体瘤彩超、病理评价标准将乳腺癌患者分为化疗敏感组146例和化疗耐药组58例;(1)ELISA检测初次化疗前血清OPG、RANK、RANKL表达,并与健康体检者进行比较;(2)通过实时荧光定量PCR检测化疗前癌组织OPG、RANK、RANKL表达;(3)通过受试者工作特征曲线(receiver operating characteristic,ROC),确定OPG、RANK、RANKL轴对化疗敏感性的预测价值和阈值,并分析化疗耐药相关的独立危险因素。结果(1)乳腺癌患者血清RANKL平均水平显著低于健康对照组(0.84±0.31 VS 1.42±0.22,P<0.001),乳腺癌耐药组血清及组织RANKL水平进一步低于化疗敏感组(0.62±0.36 VS 1.17±0.38,P=0.007)。而乳腺癌患者血清OPG平均水平高于健康对照组(0.95±0.41 VS 0.56±0.31,P=0.007),乳腺癌耐药组血清及组织OPG表达进一步高于敏感组(1.12±0.42 VS 0.81±0.39,P<0.001),RANK表达无差异,组织与血清检测OPG、RANKL表达结果具有一致性;(2)ROC曲线分析显示,OPG、RANKL对化疗抵抗的预测阈值分别为0.81、0.62,灵敏度分别为81.4%、80.1%,特异度分别76.7%、78.6%。多因素logistics回归分析显示,血清OPG≥0.81(OR=1.879,95%CI:1.597~2.496,P<0.001)、RANKL≤0.62(OR=1.915,95%CI:1.603~2.525,P<0.001)、Ki67<14%(OR=1.867,95%CI:1.545~2.427,P<0.001)、Luminal亚型(OR=1.602,95%CI:1.119~2.078,P=0.001)是预测乳腺癌化疗耐药的独立危险因素;(3)化疗耐药组与敏感组相比,Luminal亚型、T_(3-4)期、腋窝淋巴结阴性、Ki67<14%患者比例更高,差异有统计学意义(P<0.05)。结论血清OPG、RANKL水平能够有效预测局部进展期乳腺癌患者新辅助化疗的疗效,有望成为预测乳腺癌化疗敏感性的有效生物标志物。展开更多
This paper proves that a set of orthogonal pure states are indistinguishable by restricted local projective measurement and classical communication if the sum of their Schmidt ranks is larger than the dimension of the...This paper proves that a set of orthogonal pure states are indistinguishable by restricted local projective measurement and classical communication if the sum of their Schmidt ranks is larger than the dimension of their joint Hilbert space. This result is useful in determining the local distinguishability of quantum states and is stronger in some respects than that of Hayashi et al [Phys. Rev. Lett. 96, 040501]. In addition, it presents a new method to determine the local distinguishability of orthogonal states by projecting measurement operators into their subspaces.展开更多
在阵元数目一定的情况下,为了扩大阵列的孔径,本文采用非均匀稀疏对称阵列,其阵元间距不受四分之一载波波长的限制.为了避免由此带来的角度模糊问题和复杂的二维搜索,本文基于降秩思想,提出了近场源波达方向(DOA,Direction Of Arrival)...在阵元数目一定的情况下,为了扩大阵列的孔径,本文采用非均匀稀疏对称阵列,其阵元间距不受四分之一载波波长的限制.为了避免由此带来的角度模糊问题和复杂的二维搜索,本文基于降秩思想,提出了近场源波达方向(DOA,Direction Of Arrival)和距离的无模糊估计方法并且分析了角度估计的模糊性.此方法利用二阶统计量,只需进行一维搜索,且参数自动配对.因此,计算量大大地减少,且在阵元个数有限的情况下,大大地提高了空间分辨率.计算机仿真结果证实了此方法的有效性.展开更多
文摘In this paper, we shall mainly study the p-solvable finite group in terms of p-local rank, and a group theoretic characterization will be given of finite p-solvable groups with p-local rank two.Theorem A Let G be a finite p-solvable group with p-local rank plr(G) = 2 and Op(G) = 1. If P is a Sylow p-subgroup of G, then P has a normal subgroup Q such that P/Q is cyclic or a generalized quaternion 2-group and the p-rank of Q is at most two.Theorem B Let G be a finite p-solvable group with Op(G) = 1. Then the p-length lp(G) < plr(G); if in addition plr(G) = 1p(G) and p > 5 is odd, then plr(G) = 0 or 1.
基金This research was supported by the National Natural Science Foundation of China (10271053)the Doctoral Programme Foundation of the Ministry of Education of China
文摘In this article thc concept of local conjugation of a C^1 mapping between two Banach manifolds is introduced. Thcn a rank theorem for nonlinear scmi-Fredholm operators between two Banach manifolds and a finite rank theorem are established in global analysis.
文摘目的探讨OPG、RANK、RANKL对乳腺癌新辅助化疗敏感性的预测价值。方法采用前瞻性非随机临床对照研究,纳入204例TNM分期为Ⅱ~Ⅲ期浸润性乳腺癌患者,选取66例健康体检者血清作为对照组,根据实体瘤彩超、病理评价标准将乳腺癌患者分为化疗敏感组146例和化疗耐药组58例;(1)ELISA检测初次化疗前血清OPG、RANK、RANKL表达,并与健康体检者进行比较;(2)通过实时荧光定量PCR检测化疗前癌组织OPG、RANK、RANKL表达;(3)通过受试者工作特征曲线(receiver operating characteristic,ROC),确定OPG、RANK、RANKL轴对化疗敏感性的预测价值和阈值,并分析化疗耐药相关的独立危险因素。结果(1)乳腺癌患者血清RANKL平均水平显著低于健康对照组(0.84±0.31 VS 1.42±0.22,P<0.001),乳腺癌耐药组血清及组织RANKL水平进一步低于化疗敏感组(0.62±0.36 VS 1.17±0.38,P=0.007)。而乳腺癌患者血清OPG平均水平高于健康对照组(0.95±0.41 VS 0.56±0.31,P=0.007),乳腺癌耐药组血清及组织OPG表达进一步高于敏感组(1.12±0.42 VS 0.81±0.39,P<0.001),RANK表达无差异,组织与血清检测OPG、RANKL表达结果具有一致性;(2)ROC曲线分析显示,OPG、RANKL对化疗抵抗的预测阈值分别为0.81、0.62,灵敏度分别为81.4%、80.1%,特异度分别76.7%、78.6%。多因素logistics回归分析显示,血清OPG≥0.81(OR=1.879,95%CI:1.597~2.496,P<0.001)、RANKL≤0.62(OR=1.915,95%CI:1.603~2.525,P<0.001)、Ki67<14%(OR=1.867,95%CI:1.545~2.427,P<0.001)、Luminal亚型(OR=1.602,95%CI:1.119~2.078,P=0.001)是预测乳腺癌化疗耐药的独立危险因素;(3)化疗耐药组与敏感组相比,Luminal亚型、T_(3-4)期、腋窝淋巴结阴性、Ki67<14%患者比例更高,差异有统计学意义(P<0.05)。结论血清OPG、RANKL水平能够有效预测局部进展期乳腺癌患者新辅助化疗的疗效,有望成为预测乳腺癌化疗敏感性的有效生物标志物。
基金supported by National Fundamental Research Program of China (Grant No 2006CB921900)the Innovation Funds from the Chinese Academy of SciencesNational Natural Science Foundation of China (Grant Nos 60621064,10574126,10875110 and 60836001)
文摘This paper proves that a set of orthogonal pure states are indistinguishable by restricted local projective measurement and classical communication if the sum of their Schmidt ranks is larger than the dimension of their joint Hilbert space. This result is useful in determining the local distinguishability of quantum states and is stronger in some respects than that of Hayashi et al [Phys. Rev. Lett. 96, 040501]. In addition, it presents a new method to determine the local distinguishability of orthogonal states by projecting measurement operators into their subspaces.
文摘在阵元数目一定的情况下,为了扩大阵列的孔径,本文采用非均匀稀疏对称阵列,其阵元间距不受四分之一载波波长的限制.为了避免由此带来的角度模糊问题和复杂的二维搜索,本文基于降秩思想,提出了近场源波达方向(DOA,Direction Of Arrival)和距离的无模糊估计方法并且分析了角度估计的模糊性.此方法利用二阶统计量,只需进行一维搜索,且参数自动配对.因此,计算量大大地减少,且在阵元个数有限的情况下,大大地提高了空间分辨率.计算机仿真结果证实了此方法的有效性.
