阶数

In order to application on high resolution of liquid crystal display, which must reduce differential error voltage in digital-to-analog converter circuit. So, how to reduce the offset voltage of buffer amplifier is important. In the second buffer amplifier circuit, to promote the open-loop gain to reduce offset voltage.

若要使液晶显示器的色彩深度能够大幅提升，就必须采用位元数较高的数位类比转换电路，也就表示其输出的每一灰阶类比电压值的差将会随著位元数的增加而变小，因此输出缓冲放大器的偏移电压就显的特别重要。

The main advantages of the methodare that(1)this method is valid for all kinds of bifurcation pointswith the codimension ≤3;(2)it does not use any informations forsecond order derivatives and does not need the bifurcation point to beknown accurately in implementation;(3)it is sufficient to implementthe method that a standard continuation procedure is only used;and(4)derivation of the method is independent on the asymptotic expan-sions of the bifurcation solutions.

这种方法的主要优点是：(1)适应于一切余维数不超过3的分支点；(2)不需要任何二阶导数的信息，也不必精确地知道分支点的位置；(3)只需使用标准延拓软件就可以实现；(4)方法不依赖于分支解的渐近展式。

The inconsistencies of dimensional reduction and naive dimensional regularization in dealing withChern-Simons-matter theory are analyzed.The consistent dimensional regularization combiningwith higher covariant derivative regularization is adopted to consider Chern-Simons field theorycoupled to complex scalar and spinor field.All the local parts of one-loop two-point functionsand three-point functions are computed.Slavnov-Taylor identity is combined with these explicitcalculation results to give the one-loop local effective action.The finite gauge invariant quantumcorrection is shown and finite wave function renormalization constant for each field is defined.Thelocal part of one-loop three gauge field vertex is especially evaluated and it is verified that thereexists a renormalization choice compatible with BRST symmetry.

然后计算了所有的两点函数和三点函数单圈修正的定域部分，利用S-T恒等式给出了单圈定域有效作用量，定义了场的重正化常数，发现物质场和规范场都存在有限的规范不变的量子修正，并讨论了这些有限的规范不变的量子修正的物理意义，进而通过考察单圈三规范场顶角，表明存在与BRST对称性相容的重正化选择。5、在背景场方法的框架下，选择高阶协变导数正规化与维数正规化的杂化正规化方案计算了背景场两点函数的两圈量子修正，结果表明，标志紫外发散的极点项恰好抵消；进一步利用背景场方法中明显的规范对称性，证明背景场三点函数的两圈图贡献也是有限的。

Reduce the computing complexity of magnetic field integral equation with differential quotient, which makes the computing which combined field integral equation more efficiently.

在AIM算法的实现技术方面作了两个改进：一是采用了新的多极子展开方案，保证了迭代的数值稳定性；二是在差商逼近偏导数的过程中全部采用二阶形式，保证了差商逼近偏导数的精度。

The 1-4 order variation law of frequency, energy and distance of MS events before destabilizing can display the change rule of MS events. According to the variation law of the difference of frequency, energy and distance of micro seismic events before destabilizing, the fracture of rock mass can be precisely predicted. This is of great importance for safety of colliery.

微地震事件的距离、能量、频数的一到四阶差分均能够显示微地震事件的变化规律，根据未失稳岩体微震事件距离、频数、能量差分变化规律，能够准确地利用微震监测技术预报岩体破裂，这对于采用微地震监测技术解决矿山井下岩体破坏失稳预报具有重要指导意义。

In this thesis, the virtual boundary integral equation is based on double layer potential with the virtual density to be determined on virtual boundary. Since this integral equation related to double layer potential only involves the computation of the normal derivative and second normal derivative of fundamental solution, the exponential integral function is not involved in it, so numerical computation for the exponential integral function is avoid.

本文则基于双层位势，引入虚拟矩密度函数来建立虚边界积分方程，并首先对时间变量进行解析积分，在虚、实边界上采用常单元和等额配点离散，该方程只涉及含基本解的法向导数及其二阶法向导数项的计算，对时间变量进行解析积分后，不会出现对指数积分函数的空间变量的积分计算。

In order to reduce error of Nu number at large Ra number and thermal diffusivity, we analyze truncation error of corresponding heat-transfer equation and introduce an adjusting parameter in the equilibrium distribution function.

针对一二阶精度模型在Ra数极高或热传导系数极大时，Nu数的计算与经验值相比出现较大偏差，分析LBM对应宏观热传导方程的截断误差后，在平衡分布函数中引进一个调节因子。

It can effectively describe the memory and transmissibility of many kinds of material,and plays an increasingly important role in physics,mathematics, mechanical engineering,biology,electrical engineering,control theory,finance and other fields.

分数阶微分方程的特点是含有非整数阶导数，能非常有效的描述各种各样的物质的记忆和遗传性质，在物理，数学，机械工程，生物，电子工程，控制理论和金融等领域发挥越来越重要的作用。

through making use of the reciprocal statistical fluctuation and the confirmed experimental data of the mass and charge of bose hadrons,to improve the research of the mass effect of the high order integral calculus connection of hadrons multiple number distribution.

本文通过利用bose强子的倒易统计起伏和质量与电荷证认数据来改进构造多重数分布的高阶积分关联的质量效应的研究，不仅质量效应被明显地揭示出来，而且说明高阶关联的实验数据，积分关联参数、奇斜度、峭度和统计矩是质量效应的理论基础，同时半群对称性的兰道不等式也得到了实验的支持。

Due to the demand of the large angle attitude control, the unit quaternion is used to describe the spacecraft attitude in this thesis.

针对飞行器以姿控发动机作为姿控执行机构时的大角度姿态运动需求，本文采用单位四元数作为弹体姿态描述，考虑到姿控发动机布局对姿态控制的影响，直接以姿控发动机推力作为系统的控制输入，利用反馈线性化方法，将原非线性系统转化为一个六阶线性子系统和一个一阶内动态子系统。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。