上微分

It can be played with a plectrum or with a fingerpicking style.

可以使用弦拨或手指弹奏，有三组弦，指板上有可移动式的弦马，可做多种的调音，适於表现阿拉伯音乐中的微分音效果。

The conductivity field and hydraulic field are represented by Karhunen-Loeve expansion and polynomial expansion, respectively. The original stochastic partial differential equation is transformed into a series of deterministic equation at the collocation points.

其渗透系数场和水头场分别被表示为Karhunen-Loeve展开和多项式展开的形式；初始随机偏微分方程被转化为在相应配点上的确定性方程。

The conductivity field and hydraulic field are represented by Karhunen-Loeve expansion and polynomial expansion , respectively. The original stochastic partial differential equation is transformed into aseries of deterministic equation at the collocation points.

其渗透系数场和水头场分别被表示为 Karhunen-Loeve 展开和多项式展开的形式；初始随机偏微分方程被转化为在相应配点上的确定性方程。

In the point reactor model, the probability function(n, t0, t) of a source neutron at time t0 leading to n neutrons at time t is dealt with. The non-linear partial differential equation for the probability generating function G(z; t0, t) is derived. By solving the equation, we have obtained an approximate analytic solution for a slightly prompt supercritical sys tem.

在点堆模型基础上，考虑了在t0时刻系统引入一个源中子，在t时刻产生n个中子的概率(n， t0， t)推导了概率生成函数G(z； t0， t)所满足的偏微分方程，并得到了近似解。

The oxidation mechanism of synephrine was also investigated;(2) The electrochemical behavior of twelve flavonoids (quercetin, morin, fisetin, luteolin, isorhamnetin, myricetin, hyperoside, quercitrin, puerarin, farrerol, naringenin and hesperidin) was investigated. The method for the determination of flavonoids was developed by using different pulse voltammetry, and the detection limit was in the range of 10-7~10-9 mol/L. This method has been successfully employed to determine the total amount of flavonoids in pericarpium citri reticulatae and quercetin in the spiked human blood plasma samples.

2研究了槲皮素、桑色素、漆黄素、木犀草素、异鼠李素、杨梅素、金丝桃甙、槲皮甙、葛根素、杜鹃素、柚皮甙元和橙皮甙等12种黄酮类化合物在玻碳电极上的电化学氧化行为，建立了测定黄酮类化合物的微分脉冲伏安法，检测限可达10~(-7)～10~(-9) mol/L，并用DPV法测定了陈皮中总黄酮含量和模拟血清中的槲皮素，结果较为满意。

Application of linear multistep methods to the delay differential equation of the form y′(t =ay +by , t≥0, y =g ,-τ≤t≤0, with a, b∈〓 and b≠a yields the recurrence relation of the form〓, where U〓∈〓 and B∈〓.

将线性多步方法应用到延迟微分方程y′=ay+by，t≥0，y=g，-τ≤t≤0，其中a，b∈〓且b≠a上，产生迭代关系式〓，其中U〓∈〓并且B∈〓。

Thus chaos theory is, very generally, the study of forever changing complex systems based on mathematical concepts of recursion, whether in the form of a recursive process or a set of differential equations modeling a physical system.

通常混沌理论是研究建立在数学递归概念基础的上永远改变复杂系统，无论以回归过程形式或建立微分方程物理系统模型。

In recent years, Feng Kang has advanced a more natural and direct redu-ction, i. e. the reduction via Green's formula and Green's function.

近年来冯康又提出一种更自然而直接的归化，即从Green公式及Green函数出发将微分方程边值问题化为边界上的含有广义函数意义下发散积分有限部分的奇异积分方程，这种归化在各种边界归化中占有特殊地位，被称为正则边界归化，本文将这一理论应用于重调和椭圆边值问题，研究了其正则归化的性质，并通过利用Green函数、Fourier分析及复变函数论方法等不同途径求出了在上半平面、单位圆内部、单位圆外部三种区域的Poisson积分公式及正则积分方程，其离散化可用于实际计算。

First, we have proved that the constraint of local constant gradient angles is equivalent to the minimization of total variation. Based on this, a stronger continuity constraint of gradient angle is presented. The interpolation formula (a 3-degree-PDE) derived from the constraint can ensure the continuity of level lines and reduce the width of edges. The contrast invariant of the regularizer of the formula is also proved.

首先证明了局部恒定的梯度角约束插值等价于总变分最小化；在此基础上，提出一个具有更强连续性的梯度角约束，由这个约束条件导出的三阶偏微分方程使插值的图像既可以保证水平线方向的连续性，又减小图像边缘的宽度；最后证明了插值方程中正则项的对比不变性。

It introduces partial fractions of meromorphic functions, product developments of entire functions, Hadamard's theorem, Riemann Zeta functions, Poisson-Jensen's formula; elliptic functions, including simply periodic functions and doubly periodic functions; algebraic functions and algebroid functions, Riemann surface, Nevanlinna theory, including characteristic functions, the first and second fundamental theorems, growth orders, etc; complex differential equations and complex functional equations, etc.

具体为：亚纯函数的部分分式、整函数的无穷乘积展开、Hadamard定理、Riemann Zeta函数、Poisson-Jensen公式；椭圆函数，包括单周期函数、双周期函数；代数函数和代数体函数、Riemann曲面简介；Nevanlinna理论简介，包括特征函数、第一和第二基本定理、增长级等；复微分方程和复函数方程，等等。在教学内容上充分体现基础性、新颖性。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。