A generalized form of the error function, Gp(x)=pΓ(1/p)∫0xe−tpdt, which is directly associated with the gamma function, is evaluated for arbitrary real values of p>1and 0x≤+∞by employing a fast-converging power...A generalized form of the error function, Gp(x)=pΓ(1/p)∫0xe−tpdt, which is directly associated with the gamma function, is evaluated for arbitrary real values of p>1and 0x≤+∞by employing a fast-converging power series expansion developed in resolving the so-called Grandi’s paradox. Comparisons with accurate tabulated values for well-known cases such as the error function are presented using the expansions truncated at various orders.展开更多
This study introduces the representation of natural number sets as row vectors and pretends to offer a new perspective on the strong Goldbach conjecture. The natural numbers are restructured and expanded with the incl...This study introduces the representation of natural number sets as row vectors and pretends to offer a new perspective on the strong Goldbach conjecture. The natural numbers are restructured and expanded with the inclusion of the zero element as the source of a strong Goldbach conjecture reformulation. A prime Boolean vector is defined, pinpointing the positions of prime numbers within the odd number sequence. The natural unit primality is discussed in this context and transformed into a source of quantum-like indetermination. This approach allows for rephrasing the strong Goldbach conjecture, framed within a Boolean scalar product between the prime Boolean vector and its reverse. Throughout the discussion, other intriguing topics emerge and are thoroughly analyzed. A final description of two empirical algorithms is provided to prove the strong Goldbach conjecture.展开更多
串联同步开关电感(Series Synchronous Switch Harvesting on Inductor,S-SSHI)电路输出功率高整流电压范围窄,而同步电荷提取(Synchronous Electric Charge Extraction,SECE)电路则输出功率低整流电压范围宽。提出了一种基于S-SSHI和S...串联同步开关电感(Series Synchronous Switch Harvesting on Inductor,S-SSHI)电路输出功率高整流电压范围窄,而同步电荷提取(Synchronous Electric Charge Extraction,SECE)电路则输出功率低整流电压范围宽。提出了一种基于S-SSHI和SECE混合的压电阵列能量俘获接口电路,以实现整流器峰值输出功率和最佳整流电压范围之间的平衡。所提出的电路去除了整流桥结构,而采用简单的无源峰值检测器设计,且可以在任意相位差(0~2π)下从多个压电换能器中提取能量。仿真和实验结果表明,所提出的电路具有较高的输出功率和较宽的整流电压范围,与多输入全桥整流器相比,最大输出功率提升了3.04倍。展开更多
The statistical characteristics of strong ground motion specified by response spectrum and power spectral density function are studied using 190 strong-motion records of the Haicheng and Tangshan earthquakes in China ...The statistical characteristics of strong ground motion specified by response spectrum and power spectral density function are studied using 190 strong-motion records of the Haicheng and Tangshan earthquakes in China and 138 earthquakes in the western United States.The response spectrum is normalized by the peak ground acceleration(i.e.,represented as spectral magnification factor),and the power spectral density function is described by the Kanai-Tajimi spectrum.The statistics and dependence of parameters are evaluated,and correlations between the spectral magnification factor or Kanai-Tajimi spectral parameters and the site condition,epicentral distance,or local magnitude are investigated.The statistical characteristics of spectra China and the U.S.A.are compared.Based on the results obtained the values of the statistics on spectral parameters for earthquake engineering applications in China are suggested.展开更多
电源网络S参数与芯片电源模型(Chip Power Module,CPM)级联可实现电源时域噪声仿真,完成电源完整性设计签核。当下部分仿真工具在AC阻抗优化过程中导出的S参数存在低频段无法覆盖的问题,影响时域纹波仿真精度,如果重新对S参数进行提取,...电源网络S参数与芯片电源模型(Chip Power Module,CPM)级联可实现电源时域噪声仿真,完成电源完整性设计签核。当下部分仿真工具在AC阻抗优化过程中导出的S参数存在低频段无法覆盖的问题,影响时域纹波仿真精度,如果重新对S参数进行提取,又会增加仿真时间降低仿真效率。针对AC阻抗优化过程中导出的S参数无法覆盖低频段的问题,提出了一种电源网络S参数低频段拓展方法,结合电压调节模块(Voltage Regulator Module,VRM)的R-L模型,推导出低频段的S参数可以借用抽取的S参数中最低频点处的S参数实现低频段S参数的拓展。仿真和实验结果表明,通过对低频段S参数进行拓展,电源时域纹波噪声仿真的精度提升31%。同时,低频段的S参数直接借用已抽取的S参数中低频点的数值无须重复提取,在8 GB内存的配置下,仿真时间节约14%左右,提高了仿真效率。展开更多
静止无功发生器(Static Var Generator,SVG)微弱谐波信号处于强干扰区域的中心频带时,会影响谐波信号检测有效性。为提升谐波信号检测性能,提出强干扰下的SVG微弱谐波信号传感检测方法。在强干扰下提取出SVG信号,并采用修正投影阻塞法消...静止无功发生器(Static Var Generator,SVG)微弱谐波信号处于强干扰区域的中心频带时,会影响谐波信号检测有效性。为提升谐波信号检测性能,提出强干扰下的SVG微弱谐波信号传感检测方法。在强干扰下提取出SVG信号,并采用修正投影阻塞法消除SVG信号中存在的干扰。选取振动传感器作为SVG微弱谐波信号检测仪器,由于振动传感器中的仪表放大器会对放大后的SVG信号叠加较多高频噪声,所以在强干扰抑制的基础上进一步滤除噪声。将振动传感器放置在振动台上,并检测处理后的SVG信号。通过数字示波器观测SVG微弱谐波信号在放大电路中的输出波形,判断信号在输送期间是否出现失真问题,从而实现SVG微弱谐波信号传感检测。实验结果表明,所提方法的信噪比高于23.51 dB,幅值检测误差低于0.63 Hz,频率检测误差低于7.1 Hz。展开更多
China’s path to becoming a strong trade power can be divided into three levels:the micro level of promoting factor cultivation,the meso level of achieving industrial dominance,and the macro level of participating in ...China’s path to becoming a strong trade power can be divided into three levels:the micro level of promoting factor cultivation,the meso level of achieving industrial dominance,and the macro level of participating in the establishment of the world system.As a feature of globalization,factor flow is the foundation and key to achieve the above three-level goals.In the first stage of reform and opening-up,China complied with the globalization characteristics of factor flow and gathered a large number of capital factors.It is now the second stage of reform and opening-up;that is,the stage of export-oriented investment.International investment may help in the path to become a strong trade power,or it may become an obstacle.The maximization of benefits and evasion of disadvantages are influenced by the grasp of investment risks.Therefore,special attention should be paid to identifying potential risks and controlling risks.展开更多
文摘A generalized form of the error function, Gp(x)=pΓ(1/p)∫0xe−tpdt, which is directly associated with the gamma function, is evaluated for arbitrary real values of p>1and 0x≤+∞by employing a fast-converging power series expansion developed in resolving the so-called Grandi’s paradox. Comparisons with accurate tabulated values for well-known cases such as the error function are presented using the expansions truncated at various orders.
文摘This study introduces the representation of natural number sets as row vectors and pretends to offer a new perspective on the strong Goldbach conjecture. The natural numbers are restructured and expanded with the inclusion of the zero element as the source of a strong Goldbach conjecture reformulation. A prime Boolean vector is defined, pinpointing the positions of prime numbers within the odd number sequence. The natural unit primality is discussed in this context and transformed into a source of quantum-like indetermination. This approach allows for rephrasing the strong Goldbach conjecture, framed within a Boolean scalar product between the prime Boolean vector and its reverse. Throughout the discussion, other intriguing topics emerge and are thoroughly analyzed. A final description of two empirical algorithms is provided to prove the strong Goldbach conjecture.
文摘串联同步开关电感(Series Synchronous Switch Harvesting on Inductor,S-SSHI)电路输出功率高整流电压范围窄,而同步电荷提取(Synchronous Electric Charge Extraction,SECE)电路则输出功率低整流电压范围宽。提出了一种基于S-SSHI和SECE混合的压电阵列能量俘获接口电路,以实现整流器峰值输出功率和最佳整流电压范围之间的平衡。所提出的电路去除了整流桥结构,而采用简单的无源峰值检测器设计,且可以在任意相位差(0~2π)下从多个压电换能器中提取能量。仿真和实验结果表明,所提出的电路具有较高的输出功率和较宽的整流电压范围,与多输入全桥整流器相比,最大输出功率提升了3.04倍。
文摘The statistical characteristics of strong ground motion specified by response spectrum and power spectral density function are studied using 190 strong-motion records of the Haicheng and Tangshan earthquakes in China and 138 earthquakes in the western United States.The response spectrum is normalized by the peak ground acceleration(i.e.,represented as spectral magnification factor),and the power spectral density function is described by the Kanai-Tajimi spectrum.The statistics and dependence of parameters are evaluated,and correlations between the spectral magnification factor or Kanai-Tajimi spectral parameters and the site condition,epicentral distance,or local magnitude are investigated.The statistical characteristics of spectra China and the U.S.A.are compared.Based on the results obtained the values of the statistics on spectral parameters for earthquake engineering applications in China are suggested.
基金the phased achievement of the 2020 China-SCO International Judicial Exchange and Cooperation Training Base Research Fund Project,“Research on the Risk and Avoidance of China’s Direct Investment in SCO Countries”(Project Number:20SHJD025)the subproject of the Discipline Construction Project of the School of Economics and Management of Shanghai University of Political Science and Law in 2021(Project Number:GH21004)+1 种基金that is,the phased achievement of the Economic Security Discipline Construction Project of Shanghai University of Political Science and Law,“Analysis on the Security and Liquidity of China’s Outbound Investment”and the phased achievement of the 2014 Youth Scientific Research Fund Project of Shanghai University of Political Science and Law(Fourth Batch),“Factor Flow and Construction of Silk Road Economic Belt”(Project Number:2014XQN27).
文摘China’s path to becoming a strong trade power can be divided into three levels:the micro level of promoting factor cultivation,the meso level of achieving industrial dominance,and the macro level of participating in the establishment of the world system.As a feature of globalization,factor flow is the foundation and key to achieve the above three-level goals.In the first stage of reform and opening-up,China complied with the globalization characteristics of factor flow and gathered a large number of capital factors.It is now the second stage of reform and opening-up;that is,the stage of export-oriented investment.International investment may help in the path to become a strong trade power,or it may become an obstacle.The maximization of benefits and evasion of disadvantages are influenced by the grasp of investment risks.Therefore,special attention should be paid to identifying potential risks and controlling risks.
