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Modular Transformation Formula for Certain Series
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作者 焦荣政 朱小林 《Chinese Quarterly Journal of Mathematics》 CSCD 2001年第2期94-97,共4页
In this paper we correct a transformation formula given by T.M.Apostol in reference [1]. Using this formula, we get an estimation of ζ(3).
关键词 SERIES modular transformation Bernoulli polynomial zeta_function RESIDUE
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中外优秀铁人三项运动员成绩对比分析
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作者 樊晨光 刘卫华 《体育科技》 2016年第5期29-30,36,共3页
运用文献资料、数理统计、比较分析等研究方法,对中外优秀女子铁人三项运动员的总成绩、各单项成绩、换项成绩进行比较研究,找出中国女子铁人三项运动员落后世界水平的原因。结果显示:我国与世界铁人三项运动员的整体水平有较大的差距;... 运用文献资料、数理统计、比较分析等研究方法,对中外优秀女子铁人三项运动员的总成绩、各单项成绩、换项成绩进行比较研究,找出中国女子铁人三项运动员落后世界水平的原因。结果显示:我国与世界铁人三项运动员的整体水平有较大的差距;中外运动员游泳单项、自行车单项和换项成绩相比,处于同一水平;中外运动员越野跑成绩相比,外国运动员明显优于我国运动员。 展开更多
关键词 铁人三项运动员 游泳 自行车 跑步 换项
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Physical modeling of failure process of the excavation in horizontal strata based on IR thermography 被引量:24
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作者 HE Man-chao GONG Wei-li +1 位作者 LI De-jian ZHAI Hui-ming 《Mining Science and Technology》 EI CAS 2009年第6期689-698,共10页
In order to capture the mechanism of roadway instability in deep mines, a new approach of Physically Finite Elemental Slab Assemblage (PFESA) is proposed in order to construct a large-scale physical model simulating t... In order to capture the mechanism of roadway instability in deep mines, a new approach of Physically Finite Elemental Slab Assemblage (PFESA) is proposed in order to construct a large-scale physical model simulating the geologically horizontal strata. We carried out physical modeling on the deformation and failure processes of roadways subjected to a plane loading scheme. Our laboratory tests were based on work which incorporated infrared (IR) detection, IR radiation temperature (IRT) statistics, image feature extraction and 2D Fourier transformation, from resulting thermographies. The IRT characterizes the mechanical responses from the roadway after loading with two stages, i.e., IRT evolving at higher levels corresponded to shallow mining (≤500 m) during which the roadway deformed gradually (referred to as the "steady deformation stage"); IRT evolving in a quasi-cyclical manner with multiple peaks corresponded to deep mining (800–2600 m), in which the failure mode for the roadway are dominated by breakage and collapse (called the "unsteady deformation stage"). The IR images and 2D Fourier spectra illustrate detailed information in terms of initiation, nucleation and coalescence of the damage to rock masses and the eventual failure of roadways subject to external loading. 展开更多
关键词 ROADWAY stratified rock mass deep mining physical modeling IR thermography
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Estimates of the Dilatation Function of Beurling-Ahlfors Extension
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作者 ZHENGXue-liang WANGJian-ping 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2005年第1期65-71,共7页
In this paper, we prove that the control function of the dilatation function of Beurling-Ahlfors extension is convex. Using the quasi-symmetric function ρ, we get a relatively sharp estimate of the dilatation functio... In this paper, we prove that the control function of the dilatation function of Beurling-Ahlfors extension is convex. Using the quasi-symmetric function ρ, we get a relatively sharp estimate of the dilatation function: D(x,y)≤ 17/32 (ρ(x, y) + 1) (ρ(x + y/2, y/2) +ρ(x - y/2, y/2) +2) , which improves the results before. We also show that the above result is asymptotically precise. 展开更多
关键词 Beurling-Ahlfors extension quasi-symmetric function dilatation function control function
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Cryptanalysis of Key Exchange Protocol Based on Tensor Ergodic Problem
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作者 Chunsheng Gu Youyu Gu +2 位作者 Peizhong Shi Chunpeng Ge Zhenjun Jing 《China Communications》 SCIE CSCD 2018年第10期172-181,共10页
Recently, Mao, Zhang, Wu et al. constructed two key exchange(KE) protocols based on tensor ergodic problem(TEP). Although they conjectured that these constructions can potentially resist quantum computing attack, they... Recently, Mao, Zhang, Wu et al. constructed two key exchange(KE) protocols based on tensor ergodic problem(TEP). Although they conjectured that these constructions can potentially resist quantum computing attack, they did not provide a rigorous security proof for their KE protocols. In this paper, applying the properties of ergodic matrix, we first present a polynomial time algorithm to solve the TEP problem using O(n^6) arithmetic operations in the finite field, where n is the security parameter. Then, applying this polynomial time algorithm, we generate a common shared key for two TEP-based KE constructions, respectively. In addition, we also provide a polynomial time algorithm with O(n^6) arithmetic operations that directly recovers the plaintext from a ciphertext for the KE-based encryption scheme. Thus, the TEP-based KE protocols and their corresponding encryption schemes are insecure. 展开更多
关键词 key exchange KE-based encryption tensor decomposition ergodic matrix
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The Shanghai Wuzheng Engineering Technology LimitedLiability Company in collaboration with China HuanqiuContracting and Engineering Corporation will providethe technology and project design to the commercial andengineering scale-up project for manufacture of ethyleneglycol (EG) from syngas launched by the Zhejiang RongshengHolding Group Company. Currently the projectdesign activity is being carried out successfully.
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《China Petroleum Processing & Petrochemical Technology》 SCIE CAS 2014年第3期33-41,共9页
In this study, the heteroatom classes and molecular structures of nitrogen compounds in vacuum residue arecharacterized by the electrospray ionization (ESI) Fourier transform ion cyclotron resonance mass spectromet... In this study, the heteroatom classes and molecular structures of nitrogen compounds in vacuum residue arecharacterized by the electrospray ionization (ESI) Fourier transform ion cyclotron resonance mass spectrometry (FT-ICRMS) combined with the Fourier transform infrared (FT-IR) spectroscopy. The results demonstrate that three basic nitrogencompounds, N1 (in which a molecule contains one nitrogen atom, similarly hereinafter), N1O1 and N2, are identified bytheir positive-ion mass spectra, and three non-basic nitrogen compounds, N1, N1O1, and N1S1, are characterized by theirnegative-ion mass spectra. Among these nitrogen compounds, the N1 class species are the most predominant. Combinedwith the data of ESI FT-ICR MS and FT-IR, the basic N1 class species are likely alkyl quinolines, naphthenic quinolines,acridines, benzonacridines, while the abundant non-basic N1 class species are derivatives of benzocarbazole. In comparisonwith CGO, the N1 basic nitrogen compounds in VR exhibit a higher average degree of condensation and have much longeralkyl side chains. 展开更多
关键词 nitrogen compounds vacuum residue coker gas oil ESI FT-ICR MS characterization
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