实轴

它仅在z平面的实轴上有奇异性，孤立极点对应于实局域模。

It has singularities on the real axis of the z plane only . The isolated poles correspond to real localized modes .

实轴上含有极点的有理函数积分及其Cauchy主值

On the Integrals of Rational Functions When Having Pole in the Real Axis and Their Cauchy Principal Value

关于全实轴上的Lagrange插值

On Lagrange Interpolation on the Whole Real Line

正实轴上的Hurwitzζ-函数不等式

Inequalities on the Hurwitz Zeta Function Restricted to the Axis of Positive Reals

在热力学极限下，配分函数零点在正实轴上集聚的那些点z0给出了相变的位置，同时在z0附近的配分函数零点密度决定了相变的类型。

In the thermodynamic limit , the zeros accumulate nearly the transition point z_0 in the real axis and the density of zeros near z_0 determines the order of the phase transition .

分析了TurboPMAC运动控制器的超前观测功能，将其应用于并联机构实轴电机的振动抑制。

The look-ahead function of Turbo PMAC ( multi-axes motion controller ) was analyzed and applied to restrain the motor vibration of real-axes of parallel kinematics mechanism .

本文研究了一类定义在实轴区间上亏数为1的复三次样条的保凸条件，推广了文〔2〕C￣2连续的实三次多项式样条的相应结果。

In this paper we study the convex-preserving condition for a class of complex cubic splines which are defined in an interval of the real axis and have defect 1.The purpose of this paper is to generalize the conver-preserving condition for real cubic spline to the complex situation .

藉助L2空间上的线性算子理论，我们得到了这类方程的控制参数在实轴上的分布情况以及存在符合物理意义的正解的条件。

By using linear operator theory in L2 space , we get the distributed parameters on real line and the existence of positive solutions .

此时的Cole-Cole图在复ε平面上成为一段圆弧，圆心在实轴以下。

The Cole - Cole plot appears to be a segment of arc in the complex ε plane , and the center of circle is below the real axis .

结合包络线方程，推导对角元素Gershgorin带与实轴交点的数学解析式。

Analytic expressions of intersections of real axis and Gershgorin Band of diagonal element can be obtained by means of equations of envelope .

考虑以第一类Chebyshev多项式的零点为插值结点的扩展的Hermite算子，在实轴上逼近无界函数，得到收敛阶为O（Ω￣（－1）（lnn）lnn／n）；

The extended Hermite interpolation operator , based on the nodes which are the zeros of first Chebyshev polynomial , is considered . This operator approxi-mates the unbounded function in the real axis , its convergence order is O (Ω￣( - 1 )( lnn ) lnn / n );

在研究PRS-XY型混联平台结构的基础上，建立了该机构的运动学模型，通过逆运动学解析，给出PRS-XY型混联平台的运动控制算法，导出了计算实轴位置的运动学公式。

Based on study of the structure of PRS-XY type hybrid mechanism , the kinematics modeling of the framework is set up , the algorithm for motion control is resulted and kinematics expression to calculate the position of realistic axis is deduced through the analysis of inverse kinematics .

虚轴和实轴合一机床的研究

The Research of Actual and Virtual Axis Combined Machine Tool

并联机构实轴伺服电机的振动抑制

Vibration Restraint for Real-axes Servo Motor of Parallel Kinematics Mechanism

全实轴上广义J.Grof算子的逼近

Approximation by generalized J. gr of operator on the whole real axis

论实轴型中柱皱纹珊瑚的分类

The systematic position of the solid column of rugose coral

位于实轴下方的极点沿顺时针方向运动。

The poles located below the real axis will move clockwise . Exercise .

实轴增量式光电编码器测量电路的设计

The Design of Measurement Circuit of Solid-Axes Photoelectric Encoder

其中，位于实轴上方的极点沿逆时针方向运动；

Also , the poles located above the real axis will move anticlockwise ;

研究了区域与区域套的位值、区域的关联函数为区间数时，区域论域上的可拓集合理论，并将可拓集合只限于实轴拓展到空间的区域。

While defining a regional place value , the correlation function of a nested region is constructed .

本文研究实轴上同胚在上半平面的扩张。

In this paper , we study the extensions on the upper half plane of the homeo-morphisms on the real axis .

给出实轴上几种类型高阶奇异积分的换序公式。

In this note , several types of the formulas to interchanging order of integration for singular integrals of high order on real aris are given .

借助保形变换将单连通区域及其边界化为上半平面与实轴。

With the help of the conformal transformation , we transform a simply connected region and its boundary into the upper half plane and real axis .

由于积分区域是有限的，而标准小波是定义在整个实轴上的，因需要构造一个定义在特定区域的小波，以求解积分方程。

The integral ranges are limited while the standard wavelets are defined on the whole real line . The wavelets defined on special intervallic are required .

针对以上问题，本章第二节定义并讨论实轴离散化后，粗柯西数列的收敛性。

To solve the above problems , section 4.2 in this chapter defines and investigates the notion of rough convergence for sequences on discretized axis of reals .

研究出一种正交多项式核函数，具有有限支撑而在全实轴连续。

This paper proposes a kind of kernel function constructed by orthogonal polynomials . It is continuous on the total real axis and its support set is finite .

证明了该算子在全实轴上一致收敛于任意以2π为周期的连续函数，得到了算子的最佳逼近阶以及最高收敛阶；

We prove that this class of operators converge to arbitrary continuous function with period 2 π on the whole axis . We then carry out the best approximation order and the highest convergence order of the operator .

与此同时，对国内大学多校区共同作用的边界进行归纳分析，对具体问题进行了具体分析，并由此提出了实轴和虚轴边界形态的概念。

At the same time , we make the university Campus on domestic role of the common border into analysis of specific issues specific analysis , thus made real axis and imaginary axis forms in the border into the concept .

文章介绍了通信卫星转发器中使用的自均衡类椭圆函数滤波器的设计方法，这种滤波器采用了四腔双模列式结构，实现了一个虚轴和一个实轴传输零点对的传输特性。

A general design procedure is presented for self equalized pseudoelliptic filter used for communication satellite in a 8 pole asymmetric dual mode in-line configuration the filter realized useful transmission characteristics with a transmission zero pair at real and imaginary axes .

粗糙函数模型基于对应某一标度的不可分辨关系，将实数轴划分成由点及开区间构成的等价类，即将实轴离散化。

Rough function model , in which the indiscernibility relation is the starting point of our considerations , divides the axis of reals into equivalent classes composed of points and open intervals , i.e. , makes the axis of reals discrete .