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MyD88L265P及CD79B基因突变对原发性中枢神经系统淋巴瘤预后的影响
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作者 蒋皓云 金祺祺 +3 位作者 张丽田 李翠翠 岳宁宁 吴重阳 《解放军医学杂志》 CAS CSCD 北大核心 2024年第1期57-63,共7页
目的探究MyD88L265P及CD79B基因突变对原发性中枢神经系统淋巴瘤(PCNSL)患者预后的影响。方法收集2018年8月-2020年11月于兰州大学第二医院经开颅手术或立体定位活检术确诊的18例免疫功能正常(无HIV感染及免疫抑制药服用病史)的PCNSL患... 目的探究MyD88L265P及CD79B基因突变对原发性中枢神经系统淋巴瘤(PCNSL)患者预后的影响。方法收集2018年8月-2020年11月于兰州大学第二医院经开颅手术或立体定位活检术确诊的18例免疫功能正常(无HIV感染及免疫抑制药服用病史)的PCNSL患者临床资料进行回顾性分析。分别采用实时荧光定量PCR和一代基因测序技术检测18例PCNSL患者肿瘤组织中MyD88L265P和CD79B基因突变情况。针对可能与PCNSL首次无疾病进展生存期(PFS)和总生存期相关的指标行单因素分析,并采用Cox回归进行多因素分析。结果18例PCNSL肿瘤组织MyD88L265P突变率为38.9%,CD79B突变率为33.3%,MyD88L265P/CD79B共突变率为27.8%。单因素分析结果显示,病灶多发、病灶深部受累、肿瘤组织CD79B突变患者的PFS时间更短(P<0.05);多因素分析结果显示,病灶深部受累(HR=0.135,95%CI 0.023~0.799,P<0.05)、肿瘤组织CD79B突变(HR=0.149,95%CI 0.028~0.800,P<0.05)是PCNSL患者预后不良的独立危险因素。结论本组PCNSL患者肿瘤组织MyD88L265P、CD79B突变频率较高,这两种基因突变尤其是CD79B突变可能与PCNSL不良预后相关。 展开更多
关键词 原发性中枢神经系统淋巴瘤 MyD88L265p突变 CD79B突变 预后
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CircROBO1 promotes retinal Y79 cell tumor invasion by targeting KLF5
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作者 Liu Yue-feng Zhang Zhi-wei +1 位作者 Li Xin Luo Wei-min 《Journal of Hainan Medical University》 CAS 2023年第17期21-27,共7页
Objective:To explore the role of circROBO1 in promoting the invasion of retinal Y79 cells by targeting KLF5 and its possible regulatory mechanism.Methods:RNase R enzyme digestion and qRT-PCR experiments were used to d... Objective:To explore the role of circROBO1 in promoting the invasion of retinal Y79 cells by targeting KLF5 and its possible regulatory mechanism.Methods:RNase R enzyme digestion and qRT-PCR experiments were used to detect the structural stability of circular circROBO1 in retinal Y79 cells;cytoplasmic and nuclear RNAs of retinal Y79 cells were extracted for localization analysis of circROBO1;The expression of circROBO1 in retinal Y79 cells were silenced by siRNA.The effect of circROBO1 on the migration and invasion ability of HT-29 cells was detected by scratch assay,Transwell cell invasion and migration assay.The target binding sites of circROBO1 and its downstream miRNA and that of miRNA and its downstream target gene KLF5 were predicted by CircInteractome and TargetScan online software respectively,and the target regulation relationship between them was verified by double luciferase reporter gene experiment.Western blot was used to detect the effect of siRNA silencing the expression of circROBO1 in Y79 cells on the expression of KLF5.Results:Compared with the control group without RNase R enzyme treatment,relative circROBO1 levels did not change significantly after treatment,while relative linear ROBO1 levels decreased significantly after treatment(t=16.18,P<0.05);the content of circROBO1 in the cytoplasm was significantly higher than that in the nucleus(P<0.05);compared with si-control group,the migration rate and the invasion and migration abilities of Transwell cells were all lower in the si-circROBO1 group(t=22.54,P<0.05);circROBO1 can adsorb miR-885-5p,and there is a target binding site between miR-885-5p and KLF5(t=11.39,P<0.05);compared with the si-control group,the KLF5 protein expression in the si-circROBO1 group was significantly decreased(t=17.26,P<0.05).Conclusions:circROBO1 promotes retinalY79 cell tumor invasion by targeting KLF5. 展开更多
关键词 Retinal cell Y79 CircROBO1 MiR-885-5p KLF5 INVASION
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对偶P-分解及偏序
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作者 肖雨欣 王宏兴 《广西民族大学学报(自然科学版)》 CAS 2024年第2期77-80,共4页
文章应用对偶奇异值分解建立对偶复矩阵的P-分解,得到该分解的若干性质,应用该分解建立D-GL二元关系,并证明该二元关系是一类偏序。
关键词 对偶复矩阵 对偶奇异值分解 对偶p-分解 D-GL偏序
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Effects of tree size and organ age on variations in carbon,nitrogen,and phosphorus stoichiometry in Pinus koraiensis
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作者 Yanjun Wang Guangze Jin Zhili Liu 《Journal of Forestry Research》 SCIE EI CAS CSCD 2024年第3期155-165,共11页
Carbon(C),nitrogen(N),and phosphorus(P)are of fundamental importance for growth and nutrient dynamics within plant organs and deserve more attention at regional to global scales.However,our knowledge of how these nutr... Carbon(C),nitrogen(N),and phosphorus(P)are of fundamental importance for growth and nutrient dynamics within plant organs and deserve more attention at regional to global scales.However,our knowledge of how these nutrients vary with tree size,organ age,or root order at the individual level remains limited.We determined C,N,and P contents and their stoichiometric ratios(i.e.,nutrient traits)in needles,branches,and fine roots at different organ ages(0-3-year-old needles and branches)and root orders(1st-4th order roots)from 64 Pinus koraiensis of varying size(Diameter at breast height ranged from 0.3 to 100 cm)in northeast China.Soil factors were also measured.The results show that nutrient traits were regulated by tree size,organ age,or root order rather than soil factors.At a whole-plant level,nutrient traits decreased in needles and fine roots but increased in branches with tree size.At the organ level,age or root order had a negative effect on C,N,and P and a positive effect on stoichiometric ratios.Our results demonstrate that nutrient variations are closely related to organ-specific functions and ecophysiological processes at an individual level.It is suggested that the nutrient acquisition strategy by younger trees and organ fractions with higher nutrient content is for survival.Conversely,nutrient storage strategy in older trees and organ fractions are mainly for steady growth.Our results clarified the nutrient utilization strategies during tree and organ ontogeny and suggest that tree size and organ age or root order should be simultaneously considered to understand the complexities of nutrient variations. 展开更多
关键词 Tree size Organ age(or root order) Carbon(C) Nitrogen(N) phosphorus(p) pinus koraiensis
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SS-拟正规子群对有限群p-超可解性的影响
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作者 高建玲 毛月梅 曹陈辰 《西北师范大学学报(自然科学版)》 CAS 2024年第2期1-5,共5页
设G为有限群,若存在B≤G使得G=HB,且对任意p∈π(B),P∈Sy1_( p)(B),都有HP=PH,则称子群H在G中SS-拟正规.利用极小阶反例法,讨论某些p-子群SS-拟正规的有限群结构,得到p-超可解群的若干充分条件,推广了p-超可解性的部分结果.
关键词 p-子群 SS-拟正规子群 p-超可解群 极小阶反例
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关于亚纯函数的[p,q]级Borel方向、充满圆、例外值
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作者 刘建明 向旭旭 曾三桂 《贵州师范大学学报(自然科学版)》 CAS 北大核心 2024年第6期67-73,共7页
利用亚纯函数的Nevanlinna理论和亚纯函数[p,q]级的定义,讨论了亚纯函数的[p,q]级充满圆和Borel方向的存在性、Borel方向与充满圆之间的关系,同时考虑了亚纯函数的[p,q]级Borel例外值的相关性质。
关键词 亚纯函数 [p q]级 BOREL例外值 充满圆 BOREL方向
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一类非线性四阶p-拉普拉斯型方程的弱解存在性
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作者 张舒柳 梁波 《山西大同大学学报(自然科学版)》 2024年第5期27-30,共4页
利用极小元法对一类非线性四阶p-Laplace方程进行求解,其中极小元法的基本内容是确定微分方程对应泛函的极小元,并由此证明微分方程弱解存在性。首先根据已知的微分方程在分部积分意义下对应的函数构造泛函,且极小元处的方程满足弱解的... 利用极小元法对一类非线性四阶p-Laplace方程进行求解,其中极小元法的基本内容是确定微分方程对应泛函的极小元,并由此证明微分方程弱解存在性。首先根据已知的微分方程在分部积分意义下对应的函数构造泛函,且极小元处的方程满足弱解的定义,其次将弱解存在性问题转化为方程对应泛函极小元存在性问题,最后证明了方程弱解的唯一性,最终得出结论,存在唯一弱解满足此类非线性四阶p-Laplace方程。 展开更多
关键词 四阶p-Laplace方程 极小元 弱解 存在性
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p21Cip1基因对V_(79-8)细胞周期的影响 被引量:1
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作者 江虹 冯洁 王永潮 《解剖学报》 CAS CSCD 北大核心 1998年第3期264-269,I001,共7页
为了探讨缺乏可测出G1、G2期V79-8细胞株的细胞周期失调的分子机理,构建了人的周期负调控基因p21Cip1的可表达重组质粒pXJSC,转染该细胞系,建立了高表达p21的V79-8-SC细胞。以3HTdR放射自显影... 为了探讨缺乏可测出G1、G2期V79-8细胞株的细胞周期失调的分子机理,构建了人的周期负调控基因p21Cip1的可表达重组质粒pXJSC,转染该细胞系,建立了高表达p21的V79-8-SC细胞。以3HTdR放射自显影法,流式细胞光度术,细胞增殖曲线测定及免疫印迹技术,检测及比较了与细胞周期变化和增殖有关基因的表达,发现该细胞较对照细胞V79-8-neoG1期明显延长,G2期也稍有增加。与此同时,G1期调控的cyclinD1、CDK4、Id基因表达明显下降,G2期调控基因cyclinB1的表达也有所下降。结果表明:此细胞系的细胞周期缺陷可能由于p21Cip1。 展开更多
关键词 V79-8细胞 p21Cip1基因 基因周期 调控 转染
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BP—7,8—diol对表达大鼠肝细胞色素P450中国仓鼠V79细胞毒性的研究
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作者 崔景荣 VermNPE 《Journal of Chinese Pharmaceutical Sciences》 CAS 1998年第3期147-151,共5页
本文采用细胞计数和中性红摄取法观察了BP-7,8-diol对XEM2(稳定表达了大鼠肝细胞色素4501Al)和V79(未表达P4501A1)细胞生长的作用,目的为建立体外细胞毒模型,结果表明,在1.0、2.5、5.0μmol·L^-1不同浓度下,BP-7,8-d... 本文采用细胞计数和中性红摄取法观察了BP-7,8-diol对XEM2(稳定表达了大鼠肝细胞色素4501Al)和V79(未表达P4501A1)细胞生长的作用,目的为建立体外细胞毒模型,结果表明,在1.0、2.5、5.0μmol·L^-1不同浓度下,BP-7,8-diol对XEM2细胞产生很强的毒性,其毒性具有浓度和时间依赖性,在相同的浓度下BP-7,8-diol对V79细胞并没有影响,同时也发现,细胞色素P450酶抑制剂-αNF对BP-7,8-diol引起的细胞毒具有保护作用,这些结果说明,BP-7,8-diol对XEM2细胞毒性是通过细胞色素P4501A1的作用引起的。 展开更多
关键词 V79细胞株 XEM2细胞株 p4501Al Bp-7 8-diol 细胞毒性
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8-氯腺苷诱导的组蛋白H3K79双甲基化促进NBS1和p21的基因转录激活 被引量:1
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作者 刘畅 李文娟 +5 位作者 陈瑜 丁卫 安国顺 李淑艳 倪菊华 贾弘禔 《中国生物化学与分子生物学报》 CAS CSCD 北大核心 2009年第11期1035-1040,共6页
组蛋白H3第79位赖氨酸甲基化(H3K79me)修饰有单甲基、双甲基及三甲基3种形式,是常染色质的标志.然而,对于组蛋白H3K79三种甲基化各自在基因转录、DNA损伤修复中所起的作用尚不十分清楚.本研究以8-氯腺苷(8-Cl-Ado)为DNA双链断裂(DNAdoub... 组蛋白H3第79位赖氨酸甲基化(H3K79me)修饰有单甲基、双甲基及三甲基3种形式,是常染色质的标志.然而,对于组蛋白H3K79三种甲基化各自在基因转录、DNA损伤修复中所起的作用尚不十分清楚.本研究以8-氯腺苷(8-Cl-Ado)为DNA双链断裂(DNAdouble-stranded breaks,DSB)诱导剂,采用Western印迹,在人肺癌细胞H1299检测出了DNA修复分子NBS1、细胞周期检验点相关分子p21,并发现H3K79me1、H3K79me2和H3K79me3三种甲基化修饰的组蛋白明显增加;染色质免疫共沉淀结合实时定量PCR实验显示,只有H3K79me2与DNA损伤检验点分子p21、DNA修复分子NBS1的启动子区域相结合,说明H3K79双甲基化修饰与这些基因的转录激活有关.结果提示,在8-氯腺苷引起DSB时,是H3K79me2、而不是H3K79me1和H3K79me3参与NBS1和p21基因转录激活时的染色质重塑.8-氯腺苷诱导H3K79双甲基化增强、促进H3K79me2所在染色质区域的NBS1和p21基因转录激活可能是8-Cl-Ado抑制肿瘤细胞生长作用机制之一. 展开更多
关键词 8-氯腺苷 DNA双链断裂 H3K79甲基化 NBS1 p21 表观遗传调控
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基于通用可调(p,q)阶Rife-Vincent自乘-卷积窗的改进四谱线插值高精度谐波分析算法
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作者 雷可君 李明皓 +4 位作者 汪旭明 张银行 胡力 王向明 杨喜 《中南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2023年第10期3926-3936,共11页
加窗快速傅里叶变换(WIFFT)是一类重要的谐波参数估计方法。然而,快速傅里叶变换固有的栅栏效应以及非同步采样产生的频谱泄漏对谐波参数的估计精度有较大影响。为此,利用具有最大旁瓣衰减特性的I类Rife-Vincent窗作为父窗,提出一种新... 加窗快速傅里叶变换(WIFFT)是一类重要的谐波参数估计方法。然而,快速傅里叶变换固有的栅栏效应以及非同步采样产生的频谱泄漏对谐波参数的估计精度有较大影响。为此,利用具有最大旁瓣衰减特性的I类Rife-Vincent窗作为父窗,提出一种新型的通用可调(p,q)阶Rife-Vincent自乘-卷积窗(RVSMC p-q),其特点在于通过改变乘积阶数和卷积阶数可以灵活地改变窗函数的主瓣宽度、旁瓣峰值和衰减速度。在此基础上,提出一种基于RVSMC p-q窗的四谱线插值高精度谐波参数估计方法,利用最小二乘拟合原理给出谐波信号的幅值、频率及相位参数的低复杂度多项式估计公式。在复杂谐波、间谐波及基波频率波动的情况下对基于RVSMC p-q窗的四谱线插值谐波参数估计方法的效果进行仿真。研究结果表明:在较低的乘积和卷积阶数条件下,新算法可以获得比经典的基于自乘积窗或自卷积窗的WIFFT算法更为优越的参数估计精度,且算法复杂度较低。 展开更多
关键词 谐波分析 参数估计 (p q)阶Rife-Vincent自乘-卷积窗(RVSMC p-q) 四谱线插值 低复杂度
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具有F-P标准具照明系统的白光干涉仪测量量块的测量不确定度分析
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作者 张成悌 薛靓 +7 位作者 付天坤 徐德宇 刘静 冉莉萍 王冠熹 龚柯安 李华 张宝武 《中国测试》 CAS 北大核心 2023年第S01期231-240,共10页
文献[1]F-P标准具用于量块量值的传递与溯源一文(中国测试技术2012年增刊第2期54-58页)介绍具有F-P标准具的白光干涉仪检定量块的光学原理及其结构,以及检定F-P标准具的等倾干涉的原理。而进一步对具有F-P标准具的白光干涉仪检定量块的... 文献[1]F-P标准具用于量块量值的传递与溯源一文(中国测试技术2012年增刊第2期54-58页)介绍具有F-P标准具的白光干涉仪检定量块的光学原理及其结构,以及检定F-P标准具的等倾干涉的原理。而进一步对具有F-P标准具的白光干涉仪检定量块的测量不确定度的分析,则由本文完成。该文首先对F-P标准具的检定及其测量不确定度就行了分析。量块尺寸在白光干涉仪上与标准具作比较测量。为减少标准具的数量,量块尺寸可以与两块或三块标准具组成的尺寸进行比较,也可以是由一块尺寸较小的标准具经过光学倍增法实现与被检量块尺寸相同进行比较。例如80mm的量块用40mm的标准具进行比较,这时在量块上的光路在标准具中多一次反射达到;90mm量块则用30mm标准具进行比较。他们也可以由两块标准具组成的尺寸进行比较。分析时以倍增法测量误差最大,以其进行计算。充分证明具有F-P标准具的白光干涉仪完全满足检定1等量块的要求。通过文献[1]及本文的介绍,映证该技术可以实现普及1等量块的检定及量块的自动化检定,特别适用于量块生产厂00级、K级、0级量块的自动化检定。 展开更多
关键词 F-p标准具 白光干涉仪 零次干涉带 等倾干涉环
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Cytotoxicity of Benzo(a)pyrene 7,8-dihydrodiol on Genetically Engineered V79 Chinese Hamster Cells Expressing Rat Liver Cytochrome P450 1A1
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作者 崔景荣 《Journal of Chinese Pharmaceutical Sciences》 CAS 1998年第3期35-39,共5页
To develop well defined in vitro cell system to test cytotoxicity of a number of model toxins, genetically engineered V79 Chinese hamster fibroblasts expressing isoenzymes of cytochrome P4501A1 XEM2 cells and V79 ce... To develop well defined in vitro cell system to test cytotoxicity of a number of model toxins, genetically engineered V79 Chinese hamster fibroblasts expressing isoenzymes of cytochrome P4501A1 XEM2 cells and V79 cells (parental), which lack cytochrome P450 enzyme activities, were used as controls. The cytotoxic effect of trans 7,8 dihydrbenzo(a)pyrene (BP 7,8 diol) on the parental cells V79 and V79 derived XEM2 cells were evaluated by two methods for cell viability. The data obtained expressed that BP 7,8 diol ranging from 1.0 μmol·L 1 to 5.0 μmol·L 1 in concentrations incubated for 24 h showed a strong cytotoxic effect in XEM2 cells (expressing rat cytochrome P4501A1) in a concentration dependent manner. Time dependent decrease for survival of XEM2 cells was also observed at 2.5 μmol·L 1 concentration. Likewise, BP 7,8 diol did not alter the survival of the parental cells V79 under the same condition. This study also showed that α naphthoflavone (αNF), a well known inhibitor of cytochrome P4501A1 might alter BP 7,8 diol induced cytotoxicity in the XEM2 cells. Our results suggested that cytochrome P4501A1 is responsible for BP 7, 8 diol induced cytotoxicity. 展开更多
关键词 V79 cell line XEM2 cell line Bp 7 8 diol Cytotoxicity p4501A1
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基于ESO和分数阶PID的改进P&O控制策略
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作者 施昕昕 李冠飞 《电力工程技术》 北大核心 2023年第3期179-187,共9页
为了提高光伏电池转换效率、降低能量损失,有必要研究最大功率点跟踪(maximum power point tracking,MPPT)方法。针对传统扰动观察法(perturbation observation method,P&O)存在无法兼顾跟踪速度与稳态精度、在光照度发生较大变化... 为了提高光伏电池转换效率、降低能量损失,有必要研究最大功率点跟踪(maximum power point tracking,MPPT)方法。针对传统扰动观察法(perturbation observation method,P&O)存在无法兼顾跟踪速度与稳态精度、在光照度发生较大变化时会产生误判现象的问题,文中提出一种能适应环境变化的变步长P&O控制策略。首先,利用光伏电池刚启动时类似恒流源的特性获取当前光照度下的短路电流,通过固定电流法推导出最大功率点(maximum power point,MPP)的参考电压;其次,当光照度突变时,提出功率修正方法,并给出突变时的变步长调整策略;最后,设计基于线性扩张状态观测器(linear extended state observer,LESO)的分数阶比例积分微分(fractional order proportion integration differentiation,FOPID)控制器,可以对算法输出的参考电压进一步进行跟踪补偿。仿真结果表明,所提控制策略可以提高稳态精度和跟踪速度,有效提高光伏电池的输出功率。 展开更多
关键词 变步长 扰动观察法(p&O) 线性扩张状态观测器(LESO) 功率修正 分数阶比例积分微分(FOpID)控制 最大功率点(Mpp)
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Picard Boundary Value Problems of Second Order p-Laplacian Differential Equations 被引量:8
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作者 LIU Yu-ji 《Chinese Quarterly Journal of Mathematics》 CSCD 2011年第1期77-84,共8页
Suffcient conditions for the existence of at least one solution of two-point boundary value problems for second order nonlinear differential equations [φ(x(t))] + kx(t) + g(t,x(t)) = p(t),t ∈(0,π) x(0) = x(π) = 0 ... Suffcient conditions for the existence of at least one solution of two-point boundary value problems for second order nonlinear differential equations [φ(x(t))] + kx(t) + g(t,x(t)) = p(t),t ∈(0,π) x(0) = x(π) = 0 are established,where [φ(x)] =(|x |p-2x) with p > 1.Our result is new even when [φ(x)] = x in above problem,i.e.p = 2.Examples are presented to illustrate the effciency of the theorem in this paper. 展开更多
关键词 solutions second order p-Laplacian differential equation two-point boundary value problem fixed-point theorem
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Learning from regularized regression algorithms with p-order Markov chain sampling 被引量:1
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作者 ZHANG Jing WANG Jian-li SHENG Bao-huai 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2011年第3期295-306,共12页
Evaluation for the performance of learning algorithm has been the main thread of theoretical research of machine learning. The performance of the regularized regression algorithm based on independent and identically d... Evaluation for the performance of learning algorithm has been the main thread of theoretical research of machine learning. The performance of the regularized regression algorithm based on independent and identically distributed(i.i.d.) samples has been researched by a large number of references. In the present paper we provide the convergence rates for the performance of regularized regression based on the inputs of p-order Markov chains. 展开更多
关键词 p-order Markov chain uniformly ergodic learning rate.
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Orders of Automorphism Groups of the p^6 Groups of Family Φ_(24) 被引量:1
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作者 赵振华 苏翃 邱利琼 《Journal of Southwest Jiaotong University(English Edition)》 2008年第4期419-423,共5页
Using the metabelian property, regularity, p-commutativity and some properties of congruence, this paper gave the orders of automorphism groups of family Ф24, which are the groups of order p^6 determined by Rodney Ja... Using the metabelian property, regularity, p-commutativity and some properties of congruence, this paper gave the orders of automorphism groups of family Ф24, which are the groups of order p^6 determined by Rodney James, where p denotes an odd prime. 展开更多
关键词 p-GROUp AUTOMORpHISM Defining relations order
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Hardy Spaces H_L^p(R^n) Associated with Higher-Order Schrdinger Type Operators 被引量:1
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作者 Qingquan Deng Yong Ding Xiaohua Yao 《Analysis in Theory and Applications》 CSCD 2015年第2期184-206,共23页
Let L = L0 + V be the higher order Schrodiger type operator where L0 is a homogeneous elliptic operator of order 2m in divergence form with bounded coeffi- cients and V is a real measurable function as multiplication... Let L = L0 + V be the higher order Schrodiger type operator where L0 is a homogeneous elliptic operator of order 2m in divergence form with bounded coeffi- cients and V is a real measurable function as multiplication operator (e.g., including (-△)m+v (m∈N) as special examples). In this paper, assume that V satisfies a strongly subcritical form condition associated with L0, the authors attempt to establish a the- HL (R) (0 〈 p ≤ 1) associated with the higher order Schrodinger ory of Hardy space P n type operator L. Specifically, we first define the molecular Hardy space Hp (JRn) by the so-called (p, q,ε, M) molecule associated to L and then establish its characterizations by the area integral defined by the heat semigroup e-tL. 展开更多
关键词 Higher order Schrodinger operator off-diagonal estimates HL^p spaces area integrals.
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一类带有p-Laplacian算子和积分边界条件的分数阶微分方程边值问题解的存在性 被引量:1
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作者 周新悦 李永昆 《应用数学》 北大核心 2023年第4期1042-1049,共8页
本文运用Leray-Schauder连续原理和Banach压缩映射原理研究了一类带有p-Laplacian算子和积分边界条件的分数阶微分方程边值问题解的存在唯一性,给出了解存在唯一的充分条件,并利用两个例子说明结论的有效性.
关键词 分数阶微分方程 p-LApLACIAN算子 Leray-Schauder连续原理 BANACH压缩映射原理
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Synthesis of Poly (3-acetylpyrrolyl methine) with Azobenzene Side Groups and Study on Its Third-order Nonlinear Optical Property 被引量:4
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作者 Zhigang ZHANG Hongcai WU +1 位作者 Lingjie MENG Wenhui YI 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2005年第5期715-718,共4页
A novel soluble π-conjugated polymer, poly [(3-acetylpyrrole-2, 5-diyl) p-(N, N-dimethylamino) azobenzylidene] (PAPDMAABE), was synthesized by condensation of 3-acetylpyrrole with 4-aldehyde-4'-dimethylaminoaz... A novel soluble π-conjugated polymer, poly [(3-acetylpyrrole-2, 5-diyl) p-(N, N-dimethylamino) azobenzylidene] (PAPDMAABE), was synthesized by condensation of 3-acetylpyrrole with 4-aldehyde-4'-dimethylaminoazobenzene (ADMAA). The chemical structure of PAPDMAABE was characterized by Fourier transform infrared spectroscopy (FTIR), ^1H-NMR, and UV-Vis-NIR spectra. Transmission electron microscope (TEM) analysis for PAPDMAABE indicates that part of PAPDMAABE is in crystal state, due to the short-range order of the polymer. Thermogravimetric analysis (TGA) curve shows that the polymer has good thermal stability and its decomposition temperature is 248℃. The optical band gap of PAPDMAABE obtained from the optical absorption spectrum is about 1.73 eV. The resonant third-order nonlinear optical property of PAPDMAABE at 532 nm was studied using degenerate four-wave mixing (DFWM) technique. The resonant third-order nonlinear optical susceptibility of the polymer is about 7.48×10^-8 esu. 展开更多
关键词 poly [(3-acetylpyrrole-2 5-diyl) p-(N N-dimethylamino) azobenzylidene] Small optical band gap Degenerate four-wave mixing Third-order nonlinear property
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