复空间形式中具有常数量曲率的全实子流形

本文研究了复空间形式中具有常数量曲率的全实子流形.利用一种自伴算子,得到了这类子流形关于第二基本形式模长平方的积分不等式.     

Photonic time‐stretch digitizer and its extension to real‐time spectroscopy and imaging

Real‐time wideband digitizers are the key building block in many systems including oscilloscopes, signal intelligence, electronic warfare, and medical diagnostics systems. Continually extending the bandwidth of digitizers has hence become a central challenge in electronics. Fortunately, it has been shown that photonic pre‐processing of wideband signals can boost the performance of electronic digitizers. In this article, the underlying principle of the time‐stretch analog‐to‐digital converter (TSADC) that addresses the demands on resolution, bandwidth, and spectral efficiency is reviewed. In the TSADC, amplified dispersive Fourier transform is used to slow down the analog signal in time and hence to compress its bandwidth. Simultaneous signal amplification during the time‐stretch process compensates for parasitic losses leading to high signal‐to‐noise ratio. This powerful concept transforms the analog signal's time scale such that it matches the slower time scale of the digitizer. A summary of time‐stretch technology's extension to high‐throughput single‐shot spectroscopy, a technique that led to the discovery of optical rouge waves, is also presented. Moreover, its application in high‐throughput imaging, which has recently led to identification of rogue cancer cells in blood with record sensitivity, is discussed.     

Recent Advance of Hydride Generation–Analytical Atomic Spectrometry: Part II—Analysis of Real Samples

Abstract: As an extended discussion of Part I, this review provides a survey of the literature about the elemental and speciation analysis of hydride-forming and non-hydride-forming elements in real samples by using hydride generation–analytical atomic spectrometry based on the recently developed technique summarized in Part I, with emphasis on the sample pretreatment methods and interference elimination.     

转让定价视角下的我国企业对外投资战略博弈

我国企业通过对外投资可以拥有在分处国内外的两个实体间开展转让定价的机会,以此来对抗跨国公司在华通过转让定价谋求战略竞争优势,获取公平竞争机会.以单市场双寡头古诺竞争下的转让定价决策模型为基础,构建了我国企业对外投资后在国内和国外两个市场与跨国公司进行战略性转让定价博弈模型,发现无论我国企业与跨国公司相比是否具有成本优势,都应该通过对外投资获取开展战略性转让定价机会,与跨国公司进行公平竞争.     

A dynamic programming approach to constrained portfolios

This paper studies constrained portfolio problems that may involve constraints on the probability or the expected size of a shortfall of wealth or consumption. Our first contribution is that we solve the problems by dynamic programming, which is in contrast to the existing literature that applies the martingale method. More precisely, we construct the non-separable value function by formalizing the optimal constrained terminal wealth to be a (conjectured) contingent claim on the optimal non-constrained terminal wealth. This is relevant by itself, but also opens up the opportunity to derive new solutions to constrained problems. As a second contribution, we thus derive new results for non-strict constraints on the shortfall of intermediate wealth and/or consumption.     

ON THE REAL DISPLACEMENT AND THE VIRTUAL DISPLACEMENT——AN IN-DEPTH DISCUSSION STARTING FROM THE CONCEPT OF NULL-WORK CONSTRAINT

阐述了分析力学中“理想约束”与理论力学动能定理部分“理想约束”概念的区别,举例说明了由此同名可能导致的问题,并建议在动能定理部分使用“无功约束”或“零功约束”的概念,以保持力学概念的一致性和独立性;对微分形式的动能定理在广义坐标空间进行变换得到了以广义坐标微分为指标的和式形式,并通过与Lagrange 方程的比较及实例论证了不能由此而得到系统动力学方程的原因。上述内容均从不同侧面反映了实位移与虚位移的本质区别,因此可作为对实位移与虚位移概念进行深刻理解的一种途径。     

Time to most recent common ancestor for stationary continuous state branching processes with immigration

Motivated by sample path decomposition of the stationary continuous state branching process with immigration, a general population model is considered using the idea of immortal individual. We compute the joint distribution of the random variables： the time to the most recent common ancestor （MRCA）, the size of the current population, and the size of the population just before MRCA. We obtain the bottleneck effect as well. The distribution of the number of the oldest families is also established. These generalize the results obtained by Y. T. Chen and J. F. Delmas.