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Examining the Use of Scott’s Formula and Link Expiration Time Metric for Vehicular Clustering
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作者 Fady Samann Shavan Askar 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第3期2421-2444,共24页
Implementing machine learning algorithms in the non-conducive environment of the vehicular network requires some adaptations due to the high computational complexity of these algorithms.K-clustering algorithms are sim... Implementing machine learning algorithms in the non-conducive environment of the vehicular network requires some adaptations due to the high computational complexity of these algorithms.K-clustering algorithms are simplistic,with fast performance and relative accuracy.However,their implementation depends on the initial selection of clusters number(K),the initial clusters’centers,and the clustering metric.This paper investigated using Scott’s histogram formula to estimate the K number and the Link Expiration Time(LET)as a clustering metric.Realistic traffic flows were considered for three maps,namely Highway,Traffic Light junction,and Roundabout junction,to study the effect of road layout on estimating the K number.A fast version of the PAM algorithm was used for clustering with a modification to reduce time complexity.The Affinity propagation algorithm sets the baseline for the estimated K number,and the Medoid Silhouette method is used to quantify the clustering.OMNET++,Veins,and SUMO were used to simulate the traffic,while the related algorithms were implemented in Python.The Scott’s formula estimation of the K number only matched the baseline when the road layout was simple.Moreover,the clustering algorithm required one iteration on average to converge when used with LET. 展开更多
关键词 CLUsTERING vehicular network scott’s formula FastPAM
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Huatan Qushi formula alleviates non-alcoholic fatty liver disease via PI3K/Akt signaling and gut microbiota modulation
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作者 Xiuping Zhang Linghui Zhu +7 位作者 Jinchen Ma Yi Zheng Xuejing Yang Lingling Yang Yang Dong Yan Zhang Baoxing Liu Lingru Li 《Journal of Traditional Chinese Medical Sciences》 CAS 2024年第4期443-455,共13页
Objective:To provide the mechanism-based pharmacotherapy of the Huatan Qushi formula(HTQS for-mula),for the health management and treatment of non-alcoholic fatty liver disease(NAFLD).Methods:A rat model of NAFLD was ... Objective:To provide the mechanism-based pharmacotherapy of the Huatan Qushi formula(HTQS for-mula),for the health management and treatment of non-alcoholic fatty liver disease(NAFLD).Methods:A rat model of NAFLD was employed to examine the efficacy and safety of the HTQS formula.In vivo active components and potential mechanisms of the HTQS formula were identified using UPLC‒MS/MS combined with network pharmacology.The influence of the HTQS formula on the dominating proteins in PI3K/Akt pathway was validated in vivo using western blot.Finally,16S rRNA sequencing of the gut microbiome was conducted followed by targeted metabolomics detecting fecal short-chain fatty acids(SCFAs)and bile acids to determine the impact of the HTQS formula on gut microbiota.Results:The HTQS formula reduced weight gain and hepatic steatosis in NAFLD rats and decreased serum total cholesterol(TC),triglycerides,blood glucose,and insulin resistance(IR)without causing liver or kidney injury.We detected 28 components using UPLC‒MS/MS and identified 439 shared targets be-tween NAFLD and the HTQS formula.Primarily,we focused on the PI3K/Akt signaling pathway based on protein‒protein interaction network analysis.We validated that the HTQS formula inhibited liver stea-tosis and inflammation by increasing the phosphorylation levels of PI3K,AKT,P27,GSK3b in the PI3K/Akt signaling pathway.16S rRNA sequencing revealed that the HTQS formula reduced the abundance of the genus Family_XIII_AD3011_group,which was positively correlated with IR and taurodeoxycholic acid.In addition,Lachnospiraceae_UCG_010 inversely correlated with TC and five bile acids,which could be essential to the therapeutic effect of the HTQS formula against NAFLD.Conclusions:The HTQS formula proved to be an effective pharmacotherapy for NAFLD without causing liver or kidney injury.Multiple potent components of the HTQS formula could alleviate liver steatosis and lipid metabolism disorder by modulating the PI3K/Akt signaling pathway and restoring gut microbiota composition. 展开更多
关键词 Non-alcoholic fatty liver disease Huatan Qushi formula Network pharmacology PI3K/Akt signaling pathway 16s rRNA sequencing Gut microbiota
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Reciprocity Relation between Alternative Gravity Formulas
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作者 Hans Hermann Otto 《Journal of Applied Mathematics and Physics》 2024年第4期1432-1440,共9页
We compare Newton’s force law of universal gravitation with a corrected simple approach based on Bhandari’s recently presented work, where the gravitation constant G is maintained. A reciprocity relation exists betw... We compare Newton’s force law of universal gravitation with a corrected simple approach based on Bhandari’s recently presented work, where the gravitation constant G is maintained. A reciprocity relation exists between both alternative gravity formulas with respect to the distances between mass centers. We conclude a one-to-one mapping of the two gravitational formulas. We don’t need Einstein’s construct of spacetime bending by matter. 展开更多
关键词 Gravity formulas Reciprocity Distance Relation NEWTON EINsTEIN Bhandari Higgs Field Dirac’s Large Number
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r次幂平均s-凸函数及其Jensen型不等式 被引量:5
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作者 宋振云 陈少元 胡付高 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2016年第4期19-23,共5页
考虑了函数的凸性及其广义凸性,提出并研究了r次幂平均s-凸函数,讨论了它的若干判定定理及运算性质,建立了其Jensen型不等式,并给出了Jensen型不等式的等价形式及推论.研究结果表明,r次幂平均s-凸函数是算术凸函数(凸函数)、几何凸函数... 考虑了函数的凸性及其广义凸性,提出并研究了r次幂平均s-凸函数,讨论了它的若干判定定理及运算性质,建立了其Jensen型不等式,并给出了Jensen型不等式的等价形式及推论.研究结果表明,r次幂平均s-凸函数是算术凸函数(凸函数)、几何凸函数、调和凸函数、平方凸函数、调和平方凸函数以及r-平均凸函数的推广,为研究新的凸函数和推广拓展凸函数概念探索了一条新途径. 展开更多
关键词 s-凸函数 r次幂平均s-凸函数 判定定理 jensen型不等式.
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AM(s)-凸函数及其Jensen型不等式 被引量:3
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作者 宋振云 胡付高 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2018年第3期46-54,120,共10页
针对函数的凸性及其广义凸性,研究凸函数的推广问题.首先引入了n个正数的加权r次幂s-平均的概念和记号,并利用加权r次幂s-平均定义了AM(s)-凸函数;然后用符号化的方式讨论了AM(s)-凸函数的判定定理和运算性质;最后,证明了AM(s)-凸函数的... 针对函数的凸性及其广义凸性,研究凸函数的推广问题.首先引入了n个正数的加权r次幂s-平均的概念和记号,并利用加权r次幂s-平均定义了AM(s)-凸函数;然后用符号化的方式讨论了AM(s)-凸函数的判定定理和运算性质;最后,证明了AM(s)-凸函数的Jensen型不等式,并给出了其等价形式.研究结果表明,AM(s)-凸函数是包含众多凸函数的一类广义凸函数,运用加权r次幂s-平均定义和研究AM(s)-凸函数是对凸函数进行推广和研究的有效方法,同时也为凸函数的拓展推广和深入研究探索了一条新的途径. 展开更多
关键词 加权r次幂s-平均 AM(s)-凸函数 判定定理 运算性质 jensen型不等式
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代数函数的Jensen不等式的加细与推广 被引量:3
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作者 陈宴祥 罗健英 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第1期5-10,共6页
代数函数的Jensen不等式可表述为:设ai>0,i=1,2,…,n,r>1)(或r<1).则有(a1+a2+…an)r>(<)ar2+ar2+…+arn成立.本文作者将这个不等式进行了加强与推广,并将此结果用于Safta猜想的相关问题.
关键词 jensen不等式 t次T平均 幂平均 单形 safta猜想
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New Color-Difference Formula Based on CIECAM97s 被引量:1
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作者 宦晖 李为 赵达尊 《Journal of Beijing Institute of Technology》 EI CAS 2001年第2期149-152,共4页
To deduce a new color difference formula based on CIE 1997 Color Appearance Model(CIECAM97s), a color space J a 1 b 1 is first constructed with color appearance descriptors J,a,b in CIECAM97s. The new f... To deduce a new color difference formula based on CIE 1997 Color Appearance Model(CIECAM97s), a color space J a 1 b 1 is first constructed with color appearance descriptors J,a,b in CIECAM97s. The new formula is then deduced in the space and named CDF CIECAM97s. The factors for lightness, chroma and hue correction in the formula are derived by linear regression according to BFD? CP data sets. It is found by statistical analysis that CDF CIECAM97s is in closer accordance with the visual assessments when compared with CMC(1∶1), CIE94 and CIE L *a *b * color difference formulae. Based on color appearance model, the new color difference formula can be used to predict color difference perception in a varity of different viewing conditions. 展开更多
关键词 CIECAM97s color difference formulae color space
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基于Ackermann's formula的类反斜线回滞系统滑模控制 被引量:1
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作者 张达科 胡跃明 郭华芳 《机械工程学报》 EI CAS CSCD 北大核心 2005年第1期11-15,共5页
回滞现象广泛地存在于许多机械控制领域。由于回滞特性具有不可微性,从而使得对回滞系统的控制变得困难和复杂,同时由于回滞可能引起系统的振荡,甚至造成系统的不稳定,因此有必要对回滞系统的有效控制进行研究。考虑到回滞系统建模仍然... 回滞现象广泛地存在于许多机械控制领域。由于回滞特性具有不可微性,从而使得对回滞系统的控制变得困难和复杂,同时由于回滞可能引起系统的振荡,甚至造成系统的不稳定,因此有必要对回滞系统的有效控制进行研究。考虑到回滞系统建模仍然是个研究的领域,针对类反斜线回滞系统进行研究。把类反斜线回滞模型分解为确定的线性部分和已知上界的不确定非线性部分,利用Ackermann's formula给出了类反斜线回滞系统的滑模控制律。仿真表明此滑模控制律是有效的,同时此滑模控制保证了整个系统的稳定性。 展开更多
关键词 类反斜线回滞 滑模控制 Ackermann’s formula
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多元Jensen不等式及其应用 被引量:3
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作者 徐沥泉 徐利治 《江南大学学报(自然科学版)》 CAS 2010年第6期741-745,共5页
简明扼要地给出了多元凸函数的最一般概念,简化了Jensen加权不等式及Jensen积分不等式的证明,定理的证明方法采取了由特殊到一般的归纳证法,导出了某些特殊不等式作为其应用。
关键词 多元凸函数 多元jensen不等式 应用与特例
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g-期望关于多元函数的Jensen不等式的充分性研究
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作者 孙秋霞 蔺香运 +1 位作者 刘洪霞 赵建立 《山东科技大学学报(自然科学版)》 CAS 2008年第4期69-73,共5页
基于g-期望的Jensen不等式成立时,由g-期望定义的不确定条件下的效用函数才能描述不确定厌恶或不确定偏爱。当生成元g满足超齐次性和反次可加性时,g-期望关于二元函数的Jensen不等式成立,推广得到g-期望关于多元函数的Jensen不等式成立... 基于g-期望的Jensen不等式成立时,由g-期望定义的不确定条件下的效用函数才能描述不确定厌恶或不确定偏爱。当生成元g满足超齐次性和反次可加性时,g-期望关于二元函数的Jensen不等式成立,推广得到g-期望关于多元函数的Jensen不等式成立的充分条件,并得到了g-期望关于多元函数的Jensen不等式成立的充要条件。 展开更多
关键词 正倒向随机微分方程 G-期望 jensen不等式 超齐次性 反次可加性
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Jensen’s和Graham’s等式的推广
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作者 丁丹 杨继真 王晓娜 《洛阳师范学院学报》 2015年第5期15-17,共3页
本文对Jensen与、Graham等式进行了推广,并得到了恒等式:∑k≤mm+r()kxkym-k=∑k≤m-r()k(-x)k(x+y)m-k.
关键词 jensen等式 Chu-Vandermonde卷积公式 二项式系数 Graham等式
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S4B-2 Bushen-Yizhi Formula Inhibits the NLRP3/NFκB Mediated Neuroinflammation and Improves the Motor Dysfunction in a Mouse Model of Parkinson’s Disease
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作者 王奇 《神经药理学报》 2018年第4期71-72,共2页
Objective:Parkinson’s disease(PD)is the second largest neurodegenerative disease following Alzheimer’s disease(AD),which associated with aging.There are many similarities in pathology and pathogenesis,even in the TC... Objective:Parkinson’s disease(PD)is the second largest neurodegenerative disease following Alzheimer’s disease(AD),which associated with aging.There are many similarities in pathology and pathogenesis,even in the TCM theory understanding,so we can learn from each other in the process of drug discovery.The clinical results showed that Bushen-Yizhi formula(BSYZ)could effectively improve the neurological function score of senile dementia patients and had a better anti-dementia effect.Further pharmacological studies showed that BSYZ had neuroprotective effects,such as anti-inflammatory,anti-oxidation,anti-apoptosis and neurotrophic effects.In this study,the therapeutic effect of BSYZ on PD was evaluated in vivo and in vivo,and its molecular mechanism was discussed in order to expand the scope of application of BSYZ and to provide strategies for drug discovery of related neurodegenerative diseases.Methods:C57 BL/6 mice were injected intraperitoneally with MPTP to construct a PD mouse model.BSYZ(1.46,2.92,5.84 mg·kg-1)was administered for two weeks,and the positive control group was given a NSAID,piroxicam(12.5 mg·kg-1).After 1 week of pretreatment,MPTP was used to construct a PD mouse model.The mice were subjected to Rotation test on days 1,3 and 5,6th day.and the movement coordination and exercise ability of the drug on PD mice were observed on theThe number of TH-positive cells,Iba1 and CD68-labeled microglial cells in SNpc region were observed by immunofluorescence to observe the proliferation and activation of microglial cells and GFAP-labeled astrocytes.Western blotting was used to detect the nuclear transfer of NLRP3,Caspase-1,ASC,pro-IL-1β,IL-1βand NF-κB in the midbrain.Results:1.BSYZ could significantly improve the expression of MPTP model mice in the experiment of fatigue and Y-maze,increase the number of neurons in SNpc region and the positive expression of TH protein.2.BSYZ significantly inhibited the number of Iba1/CD68-positive microglial cells in MPTP-model mice and decreased the number of GFAP-positive astrocytes.3.BSYZ significantly inhibited the expression of NLRP3-associated protein in BV2 microglial cells induced by LPS+ATP and inhibited the nuclear transfer of NF-κB.Conclusion:BSYZ can effectively relieve the motor dysfunction of PD model mice,improve the damage of dopaminergic neurons,inhibit the proliferation and activation of microglial cells and astrocytes,and have good anti-MPTPinduced neuroinflammation and neuroinflammation mediated by nuclear transfer of NF-κB.The results show that BSYZ has a good prospect of anti-Parkinson’s disease and provides valuable drug discovery strategies for the related neurodegenerative diseases. 展开更多
关键词 Parkinson’s disease Drug Discovery Bushen-Yizhi formula neuroinfl ammation
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关于非线性动态相容评价的Jensen不等式(英文)
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作者 宗昭军 宗勋 《曲阜师范大学学报(自然科学版)》 CAS 2014年第4期9-16,共8页
得到了关于由Peng[1,2]给出的非线性动态相容评价的Jensen不等式2个等价条件.而且,我们也得到了关于由倒向随机微分方程(BSDEs)诱导产生的g-评价的Jensen不等式4个等价条件.这两个结果包含和推广了一些已有结果.
关键词 非线性动态相容评价 g-评价 G-期望 jensen不等式
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Jensen公式推广及证明
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作者 董立华 《德州学院学报》 2009年第6期11-13,共3页
Jensen公式∫2π0ln 1-eiθdθ=0是解析函数重要理论之一.文中证明当f(z)在z 0r上解析且f(0)≠0,其零点全体为zk10k0n时,有变形Jensen公式为21∫π2π0lnf(reiθ)dθ=lnf(0)+∑nk=1ln((r/zk)).
关键词 jensen公式 解析 零点 指数型整函数
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Jensen不等式:许多重要不等式的源头
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作者 胡绍宗 《高等数学研究》 2017年第6期47-50,共4页
首先利用泰勒公式证明Jensen不等式,然后应用Jensen不等式导出一些重要不等式.
关键词 jensen不等式 泰勒公式 凸函数
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非Lipschitz条件下基于g-期望的Jensen不等式 被引量:1
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作者 何娇 江龙 +2 位作者 刘坤 高杰 高伟 《中国矿业大学学报》 EI CAS CSCD 北大核心 2008年第1期142-146,共5页
研究了一类具有非Lipschitz生成元的g-期望的Jensen不等式,利用g-期望的定义,严格单调性以及一个生成元表示定理,证明了一类非Lipschitz生成元的惟一性.对于线性凸函数φba(x)=ax+b,x∈R,定义了一个新的生成元gc(t,y,z)∶=g(t,y-c,z),... 研究了一类具有非Lipschitz生成元的g-期望的Jensen不等式,利用g-期望的定义,严格单调性以及一个生成元表示定理,证明了一类非Lipschitz生成元的惟一性.对于线性凸函数φba(x)=ax+b,x∈R,定义了一个新的生成元gc(t,y,z)∶=g(t,y-c,z),利用生成元惟一性,BSDEs解的存在惟一性,证明了基于g-期望的Jensen不等式对单调增加的凸函数成立的充分必要条件是g不依赖于变量y并且g关于变量z是正齐次的. 展开更多
关键词 倒向随机微分方程 G-期望 jensen不等式 非Lipschitz生成元
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Compound Formula Rehmannia alleviates levodopainduced dyskinesia in Parkinson's disease 被引量:9
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作者 Long Teng Fang Hong +2 位作者 Chenguang Zhang Jiancheng He Haiying Wang 《Neural Regeneration Research》 SCIE CAS CSCD 2014年第4期407-412,共6页
Compound Formula Rehmannia has been shown to be clinically effective in treating Parkinson's disease and levodopa-induced dyskinesia; however, the mechanisms remain unclear. In this study, we established a model of P... Compound Formula Rehmannia has been shown to be clinically effective in treating Parkinson's disease and levodopa-induced dyskinesia; however, the mechanisms remain unclear. In this study, we established a model of Parkinson's disease dyskinesia in rats, and treated these animals with Compound Formula Rehmannia. Compound Formula Rehmannia inhibited the increase in mRNA expression of N-methyl-D-aspartate receptor subunits 1 and 2 and excitatory amino acid neurotransmitter genes, and it inhibited the reduction in expression of γ-aminobutyric acid receptor B1, an inhibitory amino acid neurotransmitter gene, in the corpus striatum. In addition, Compound Formula Rehmannia alleviated dyskinesia symptoms in the Parkinson's disease rats. These experimental findings indicate that Compound Formula Rehmannia alleviates levodopa-induced dyskinesia in Parkinson's disease by modulating neurotransmitter signaling in the corpus striatum. 展开更多
关键词 nerve regeneration traditional Chinese medicine Parkinson's disease DYsKINEsIA excitato-ry amino acid inhibitory amino acid NEUROBEHAVIOR Compound formula Rehmannia NsFC grant neural regeneration
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Effects of compound rehmannia formula on dopamine transporter content in the corpus striatum of Parkinson's disease rats treated with levodopa 被引量:2
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作者 Ruijng Luo Jiancheng He 《Neural Regeneration Research》 SCIE CAS CSCD 2011年第12期898-902,共5页
Long-term application of levodopa (L-3, 4-dihydroxyphenylalanine, L-DOPA) for Parkinson's disease can lead to adverse effects and reduce the amount of dopamine transporter (DAT) in the corpus striatum. The presen... Long-term application of levodopa (L-3, 4-dihydroxyphenylalanine, L-DOPA) for Parkinson's disease can lead to adverse effects and reduce the amount of dopamine transporter (DAT) in the corpus striatum. The present study attempted to vedfy whether increasing the amount of DAT can reduce the adverse effects of L-DOPA. The specific radioactive uptake value of DAT in the corpus striatum of the lesioned hemisphere was significantly decreased, but was significantly increased following administration of compound rehmannia formula [Radix rehmanniae preparata (prepared rehmannia root), Concha margantifera usta (nacre), Radix paeoniae alba (white peony alba), Radix salviae miltiotThizae (Danshen root), Scorpio (scorpion), green tea] for 4 weeks. The changes in DAT 1251-beta-carbomethoxy-3 beta-(4-iodophenyl) tropane autoradiography were consistent with those in radioactivity. The results revealed that the compound rehmannia formula can reduce the adverse effects of L-DOPA in treating Parkinson's disease, possibly by increasing the amount of DAT. 展开更多
关键词 compound rehmannia formula Parkinson's disease LEVODOPA dopamine transporter AUTORADIOGRAPHY RADIOACTIVITY
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LEIBNIZ′FORMULA OF GENERALIZED DIFFERENCE WITH RESPECT TO A CLASS OF DIFFERENTIAL OPERATORS AND RECURRENCE FORMULA OF THEIR GREEN′S FUNCTION 被引量:1
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作者 许跃生 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1984年第3期1359-1364,共6页
In this paper, Leibniz' formula of generalized divided difference with respect to a class of differential operators whose basic sets of solutions have power form, is considered. The recurrence formula of Green fun... In this paper, Leibniz' formula of generalized divided difference with respect to a class of differential operators whose basic sets of solutions have power form, is considered. The recurrence formula of Green function about the operators is also given. 展开更多
关键词 LEIBNIZ s FUNCTION formula OF GENERALIZED DIFFERENCE WITH REsPECT TO A CLAss OF DIFFERENTIAL OPERATORs AND RECURRENCE formula OF THEIR GREEN
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A Construction That Produces Wallis-Type Formulas 被引量:1
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作者 Joshua M. Fitzhugh David L. Farnsworth 《Advances in Pure Mathematics》 2013年第6期579-585,共7页
Generalizations of the geometric construction that repeatedly attaches rectangles to a square, originally given by Myerson, are presented. The initial square is replaced with a rectangle, and also the dimensionality o... Generalizations of the geometric construction that repeatedly attaches rectangles to a square, originally given by Myerson, are presented. The initial square is replaced with a rectangle, and also the dimensionality of the construction is increased. By selecting values for the various parameters, such as the lengths of the sides of the original rectangle or rectangular box in dimensions more than two and their relationships to the size of the attached rectangles or rectangular boxes, some interesting formulas are found. Examples are Wallis-type infinite-product formulas for the areas of p-circles with p > 1. 展开更多
关键词 Walliss formula Unit p-Circle INFINITE Product Π GAMMA Function
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