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整体误差
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  global error
     It is proved that there the m + 1-i good points of the approximation for i-th order derivatives of Galerkin's solution ( 02) on each element, i.e., atthese fixed points, they possess 1-1/p order higher accuracy than the global error.
     证明了:Galerkin解的i阶导数(0≤i≤m,i+m≥2)在每个单元上有m+1-i个逼近佳点,即在这些固定点上具有的精度比整体误差高1-(1/p)阶。
短句来源
     The Global Error Estimate of The Pseudospectral Method for A Class of Generalized Zakharov Equations (Ⅰ)
     一类广义Zakharov方程组拟谱方法的整体误差估计
短句来源
     Global error bound for convex multifunctions is considered,the main theorem in Li and Singer (1998) is generalized to the unbounded case,and an affirmative answer to the conjecture is also given.
     考虑了凸集值映射的整体误差界,推广Li和Singer(1998)的主要定理到无界情形并肯定地回答了该文的猜想.
短句来源
     Measurement of the Global Error Curve of Tooth Profile and Analysis of Gear Noise
     齿轮整体误差测量技术与齿轮噪声分析
短句来源
     Global error bound for convex multifunctions
     凸集值映射的整体误差
短句来源
更多       
  integrated error
     In the case of MOD(Z2,Z1)=0 for gear integrated error tester,the profile of gears throughout survey ,and this leads to the problem of curve reconstruction.
     蜗杆式齿轮整体误差测量仪在MOD(Z2,Z1)=0(Z1———蜗杆头数:Z2———被测齿数)的情况下,为实现齿轮齿廓遍历性测量不可避免地需要对齿轮进行“转位”,由此产生了整体误差曲线重构问题。
短句来源
     Reconstruction Method of Gear Integrated Error Curve Based on Fourier Analysis and It's Application
     基于Fourier分析的齿轮整体误差曲线的重构方法及其应用
短句来源
     Application of Integrated Error Measuring Technique in Technological Analysis of Cylindrical Gears
     整体误差测量技术在圆柱齿轮工艺分析中的应用
短句来源
     The Collecting and Processing of the Integrated Error Signal
     齿轮整体误差信号的采集与处理
短句来源
     Measuring Contrate Involute Error on CZ450 Gear Integrated Error Tester
     在CZ450齿轮整体误差测量仪上测量端面渐开线齿形
短句来源
更多       
  whole error
     Study on Measurement of Gear Whole Error With Small Pressure Angle Involute Worms
     小齿形角渐开线蜗杆测量齿轮整体误差研究
短句来源
     Atthesame time, anew adaptive error analysis method is adopted in the adaptive process, namely continuum error analysis acts as the local error analysis and iterative erroranalysis acts as the whole error analysis, which greatly improves the computing precision of boundary element solution.
     另外,自适应过程的判别采用了一种新的自适应误差分析方法,即以连续误差分析作为局部误差分析和以迭代误差分析作为整体误差分析相结合的误差分析方法,从而大大提高了边界元解的计算精度。
短句来源
     The anthor analyzes a capability of reform and refit of a gear single-face- meshing whole error measuring equipment with an optical grating ,and gives an efficacious path that can save money with a used device.
     文章对CD320G-C光栅式齿轮单面啮合整体误差测量仪升级改造的可行性进行了分析,为充分利用旧设备和节约资金提供了一条有效途径。
短句来源
     As one of the important characteristic parameters of the transducer,the improvement of the sluggish error influences the whole error of the transducer directly,want to control and understand first which factors played to influence function accurately.
     作为传感器的重要特性参数之一,迟滞性误差的改善直接影响传感器的整体误差,要想能够准确控制必须先了解哪些因素起到了影响作用。
短句来源
  “整体误差”译为未确定词的双语例句
     The experimental results of standard samples indicate that the system measurement accuracy can reach ±10 μm and the whole relative error is lower than 0.375%.
     标准试样试验结果表明,该系统的测量精度达到±10μm,整体误差小于0.375%.
短句来源
     The Overall Error Model of Road Curve in GIS and Its Digitization Test
     GIS中道路曲线的整体误差模型与试验研究
短句来源
     Error analysis of numerical methods for delay differential equation based on the test equation y′(t)=f(t,y(t),y(t-τ)), t≥t 0 y(t)=φ(t), t≤t 0 τ>0, is presented. It is given that the estimation of globar error independed on Lipschitz constant for the second variable of f.
     给出了求解时滞微分方程初值问题y′(t)=f(t,y(t),y(t-τ)),t≥t0y(t)=φ(t),t≤t0{的数值方法的整体误差估计,它不依赖于右端函数关于第二个变量的李普希兹常数.
短句来源
     t b= < < < < = and their valuesf(ti)(i= 0,1,,n). Meanwhile the holistic error for the interpolation and the error in partition 1[i,i ]t t+ are analyzed.
     1整体误差和节点区间[1i,ti+1]内的误差进行了分析估计;
短句来源
     Measurement Technique of Overall Errors with Gears for Motorcycles
     摩托车齿轮整体误差的测量方法
短句来源
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  global error
But having a closer look at the DWR-concept, one observes that in fact global error bounds can be employed to establish local error control.
      
We derive the global error estimates of A-stable-one-leg methods with linear interpolation procedure.
      
An estimate for the global error of the adams method on long intervals
      
We discuss the uniformly higher order accurate extrapolations, which are based on the uniform expansion for global error, to solutions of uniformly convergent discretization methods for singularly perturbed problems.
      
Conventionally, so-called global error estimates are applied in structural optimization which estimate the error of the total strain energy.
      
更多          
  integrated error
This paper introduces a new modular control design method for a cell controller with integrated error handling.
      
Although NPP is calculated but not observed, considering the large number of samples, the integrated error may be reduced greatly.
      
By comparison, the integrated error signal of the vibration isolation system for this apparatus suggests a minimum phase noise of 24 mrad.
      
Little extra overhead is expected with a good engineered and well-integrated error correction mechanism.
      
The undesirable integrated error yields to a large overshoot and a large settling time of the process output.
      
更多          
  whole error
Now we are able to define an estimator for the whole error.
      


In this paper, we consider the first boundary value problem of second order equation, in continuous piecewise m>1 degree polynomial spaces . It is proved that there the m + 1-i good points of the approximation for i-th order derivatives of Galerkin's solution ( 02) on each element, i.e., atthese fixed points, they possess 1-1/p order higher accuracy than the global error.

考虑二阶方程的第一边值问题,采用连续且分段m≥1次多项式空间。证明了:Galerkin解的i阶导数(0≤i≤m,i+m≥2)在每个单元上有m+1-i个逼近佳点,即在这些固定点上具有的精度比整体误差高1-(1/p)阶。

In this paper the main results are the following:1. For general discrete variable methods for initial value problems we introduced a new concept which is called "the measure of stability" and pointed that "the measure of stability" , as well as the shape and size of the stability regions, is an important index for appraising the stability properties of multistep methods.2. The (δ, p)- stability regions of discrete variable methods are defined, by means of which we can estimate the measure of stability of the...

In this paper the main results are the following:1. For general discrete variable methods for initial value problems we introduced a new concept which is called "the measure of stability" and pointed that "the measure of stability" , as well as the shape and size of the stability regions, is an important index for appraising the stability properties of multistep methods.2. The (δ, p)- stability regions of discrete variable methods are defined, by means of which we can estimate the measure of stability of the methods.3. We proved that if some (δ, p)- stability region of some k-step method is nonempty then the measure of stability of the method for the (δ, p)- stability region is greater than or equal to δ~(k-1)/p, where O<δ<2, p=1, 2, …, k, and k is any given natural number.4. By means of the measure of stability, an estimate of global error for the numerical solutions of the linear autonomous system dy/dx=Ay by a 'linear' k-step method with a constant stepsize is derived.

本文主要结果为: 1.就求解常微分方程初值问题的离散变量方法建立了“稳定程度”这一新的概念;并指出:在评价多步方法稳定性优劣时,不能只看其稳定域的大小和形状,而必须把它的“稳定程度”作为另一个具有同等价值的重要指标。2.定义了离散变量方法的“(δ,p)-稳定域”S(δ,p);并指出:当多步方法的稳定域S为(?)中的非空闭集时,它必与适当的(δ,p)-稳定域相等,因而可通过对后者稳定程度的估计来估计它的稳定程度;当稳定域S的稳定程度等于零时,则以适当的(δ,p)-稳定域去代替它是适宜的。3.证明了k步方法的非空(δ,p)-稳定域的稳定程度不小于δ~(k-1)/p,这里0<δ<2;p是不大于k的正整数;k为正整数。4.作为稳定程度的一个应用,设以“线性”k步方法按定步长h求解线性自治系统dx/dy=Ay时导出的差分方程为sum from i=0 to k Gi(hA)ym+i=0,我们获得了整体误差e_m的如下估计: 这里设每个hλ_f∈S(δ,p);诸λ_i(j=1,2,…,n)是n×n阶矩阵A的特征值;condA是A关于特征值问题的条件数;d_i,r_u分别是点x_i处的局部离散误差及含入误差。当...

本文主要结果为: 1.就求解常微分方程初值问题的离散变量方法建立了“稳定程度”这一新的概念;并指出:在评价多步方法稳定性优劣时,不能只看其稳定域的大小和形状,而必须把它的“稳定程度”作为另一个具有同等价值的重要指标。2.定义了离散变量方法的“(δ,p)-稳定域”S(δ,p);并指出:当多步方法的稳定域S为(?)中的非空闭集时,它必与适当的(δ,p)-稳定域相等,因而可通过对后者稳定程度的估计来估计它的稳定程度;当稳定域S的稳定程度等于零时,则以适当的(δ,p)-稳定域去代替它是适宜的。3.证明了k步方法的非空(δ,p)-稳定域的稳定程度不小于δ~(k-1)/p,这里0<δ<2;p是不大于k的正整数;k为正整数。4.作为稳定程度的一个应用,设以“线性”k步方法按定步长h求解线性自治系统dx/dy=Ay时导出的差分方程为sum from i=0 to k Gi(hA)ym+i=0,我们获得了整体误差e_m的如下估计: 这里设每个hλ_f∈S(δ,p);诸λ_i(j=1,2,…,n)是n×n阶矩阵A的特征值;condA是A关于特征值问题的条件数;d_i,r_u分别是点x_i处的局部离散误差及含入误差。当n=1时方法不必是“线性”的。

This paper discusses the application of the sampling theorem in the sampling system which makes precise measurement of the tooth pro- file and the global error of a gear. A formula, which can hold error information of gears and deprese high-frequency interference in some degree, has been derived to calculate sampling intervals. By using this formula, a relation between the number of grating score per milimeter and the sampling interval has been obtained. These formulae can be re- garded as the theoretical basis...

This paper discusses the application of the sampling theorem in the sampling system which makes precise measurement of the tooth pro- file and the global error of a gear. A formula, which can hold error information of gears and deprese high-frequency interference in some degree, has been derived to calculate sampling intervals. By using this formula, a relation between the number of grating score per milimeter and the sampling interval has been obtained. These formulae can be re- garded as the theoretical basis for the measurement of gears.

本文将采样定理用于高精度齿形测量和齿轮整体误差测量中的采样系统,并推导出了既不漏掉齿轮误差信息又可在一定程度上抑制高频干扰的采样间隔计算公式,并以此为出发点导出了用于获得采样信号的光栅刻线数公式,从而为齿轮测量中的采样问题提供了理论依据。

 
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