基于PCAU-Net的快速多通道磁共振成像方法

多通道磁共振成像方法采用多个接收线圈同时欠采样k空间以加快成像速度,并基于后处理算法重建图像,但在较高加速因子时,其图像重建质量仍然较差．本文提出了一种基于PCAU-Net的快速多通道磁共振成像方法,将单通道实数U型卷积神经网络拓展到多通道复数卷积神经网络,设计了一种结构不对称的U型网络结构,通过在解码部分减小网络规模以降低模型的复杂度．PCAU-Net网络在跳跃连接前增加了1×1卷积,以实现跨通道信息交互．输入和输出之间利用残差连接为误差的反向传播提供捷径．实验结果表明,使用规则和随机采样模板,在不同加速因子时,相比常规的GRAPPA重建算法和SPIRiT重建方法,本文提出的PCAU-Net方法可高质量重建出磁共振复数图像,并且相比于PCU-Net方法,PCAU-Net减少了模型参数、缩短了训练时间．     

On decentralized stabilization of linear large scale systems with symmetric circulant structure

The decentralized stabilization of continuous and discrete linear large scale systems with symmetric circulant structure was studied. A few sufficient conditions on decentralized stabilization of such systems were proposed. For the continuous systems, by introducing a concept called the magnitude of interconnected structure, a very important property that the decentralized stabilization of such systems is fully determined by the structure of each isolated subsystem that is obtained when the magnitude of interconnected structure of the overall system is given. So the decentralized stabilization of such systems can be got by only appropriately designing or modifying the structure of each isolated subsystem, no matter how complicated the interconnected structure of the overall system is. A algorithm for obtaining decentralized state feedback to stabilize the overall system is given. The discrete systems were also discussed. The results show that there is a great dfference on decentralized stabilization between continuous case and discrete case.     

脂肪族羧酸脱羧偶联反应研究进展

脱羧偶联反应是构建碳-碳键、碳-杂键以及活化碳-氢键的有效方法。该反应类型使用羧酸或羧酸盐作为底物,在催化剂的作用下可脱去二氧化碳并与其它化合物进行偶联反应。与传统的偶联反应相比,脱羧偶联反应具有对环境污染小、底物来源广等优点,因此该类型反应引起了研究者们的广泛关注。以芳香族羧酸进行的脱羧偶联反应已被报道,本文综述了近十年来各类催化体系下脂肪族羧酸进行脱羧偶联反应的研究进展。     

Ba+N_2O化学发光反应截面的实验研究

本工作利用分子束装置,研究了Ba+N_2O化学发光反应截面σ_(?)与碰撞能E的关系。得全在相对平动能0.1～0.3eV时σ_(?)≌0.1(?)~2。在束一气装置上得到碰撞总截面σ_(101)～92(?),并利用Arrhenius实验曲线给出在T_(N_2O)～300K时活化能E_α~*=1.0千卡/克分子,从而得出,:奖发态的产物粒子仅是总碰撞数的千分之一     

基于形态滤波的心电信号去除基线漂移方法

去除基线漂移是心电信号预处理过程中的重要一步,常见方法具有计算量大、结果不佳等缺陷.本文运用形态学理论,结合心电信号特征,提出了基于形态学的心电信号基线漂移去除方法.该方法采用不同形状及尺寸的结构元素设计了两级形态学滤波器,分别对信号进行开闭、闭开级联组合运算.经验证,提出的方法能很好保持心电信号的特征形态,提高了信噪比,减小了均方差,有效去除了基线漂移噪声.     

Anisotropy in Third-Order Nonlinear Optical Susceptibility of a Squarylium Dye in a Nematic Liquid Crystal

A squarylium dye is dissolved in 4-cyano-4＇-pentylbiphenyl （SCB） and oriented by sandwiching mixtures between two pieces of rubbed glass plates. The optical absorption spectra of the oriented squarylium dye-5CB layers exhibit high anisotropy. The third-order nonlinear optical responses and susceptibilities X^（3）e of squarylium dye in 5CB are measured with light polarizations parallel and perpendicular to the orientational direction by the resonant femtosecond degenerate four-wave mixing （DFWM） technique. Temporal profiles of the DFWM signal of the oriented squarylium dye-5CB layers with light polarizations parallel and perpendicular to the orientational direction are measured with a time resolution of 0.3ps （FWHM）, and are found to consist of two components, i.e., the coherent instantaneous nonlinear response and slow response due to the formation of excited molecules. A high anisotropic ratio of x^（3）e, 10.8 ：k 1.2, is observed for the oriented layers.     

有红利美式看跌期权定价的Crank-Nicolson有限差分法

本文基于B-S微分方程,采用Crank-Nicolson差分格式(简称C-N差分格式)求解支付固定红利的美式看跌期权价值,给出实证分析,并对C-N差分格式和隐含的差分格式进行了比较.结果表明,用C-N差分格式可以得到更加精确、有效的数值解.     

Fast Optical Switching Using Oriented Cyanine Dye-Doped Nematic Liquid Crystal

A cyanine dye, 2-[7-（1,3-dihydro-1,3,3-trimethyl-2H-indol-2-ylidene）-1,3,5-heptatrienyl]-1,3,3-trimethyl-3H-indolium iodide （NK-125）, is doped in 4-cyano-4＇-pentylbiphenyl （5 CB）, and the mixture is sandwiched between two pieces of rubbed glass plates. The third-order nonlinear optical properties of the oriented NK-125-SCB layers are measured by the resonant femtosecond degenerate four-wave mixing （DFWM） technique at 760 nm. The third-order nonlinear optical susceptibility of one of the present samples is 5.5×10^-8 esu. The slow DFWM response of the NK-125-SCB layers due to a population grating is accelerated by the increasing laser power because of amplified spontaneous emission （ASE）. On the other hand, we do not observe a similar phenomenon for NK-125- polyethylene glycol （PEG-400）. Oriented NK-125 molecules in nematic liquid crystals must have very high ASE efficiency. Hence the population grating in a DFWM signal disappears within about 4 ps. It is expected that NK-125-SCB can be used as a material for very fast all-optical switching.     

带有重置条款的可转换债券定价

可转换债券是中国证券市场的热点之一.本文主要研究如何给带有重置条款的可转换债券进行定价.文中采用了等价鞅测度的思想将标的物从风险世界转换到风险中性世界中,然后在风险中性世界中应用鞅评价方法对带有重置条款的可转换债券进行定价.