计算误差

Because this method has smaller local relative errors and fast calculation efficiency,it is applicable for 2-D data with low gradient such as hypsography data and ray tracing time tables.

由于此方法具有局部误差小、计算高效的特征，可以适用于数据梯度较小的二维系统数据的曲面拟合和数据压缩，如地形高程数据和射线追踪走时表。

This paper analyzes the limits of errors both for the ideal and for the worst boundary conditions.

本文论证了理论误差的来源，并对理想的和最差的两类极端条件进行了计算。

In accordance with the error function between the measured intensity and calculated intensity, and the regularization terms for different source models, this method estimates the illuminant direction for images of different source models.

该方法根据图像的实际强度与计算强度间的误差函数以及适合不同光源模式的约束条件，估计不同光源模式下图像的光照方向。

Automatic differentiation and implicit function differentiation rule were used to calculate the precise absolute and relative sensitivity coefficients, with no truncation error introduced.

提出一种基于自动微分和隐函数求导法则的精馏塔优化计算灵敏度分析方法，可以求出精确的、无截断误差的灵敏度系数，以反映精馏塔模型中各种不确定因素变化所引起的改变和影响。

And the causes of inaccuracy is analysed at last.

论文最后对计算结果的误差进行了分析。

If one knows how thick the reflector is and the wavelength of the light used in the lab in advance, one can use this phenomenon to measure the refractive index of the glass.

在已知平行平板玻璃的厚度和光的波长的情况下，可应用该现象测量平行平板玻璃折射率，给出了折射率的计算方法，对结果进行了数据处理及误差分析。

Test and simulation shows that the method can eliminate the unsmooth shortcoming caused by subsection low order interpolation with its inherent feature, and can meet the vision effect in inner capacity reconstruction. Further more the volume measurement error are reduced after interpolated by cubic spline without increasing any calculation, and the measurement relative error could reach 2‰ required by the system.

实验和仿真结果证明：该方法能够克服直接累加和传统的分段低次线性插值方法由于函数本身的特性，在各次间歇测量点处产生的衔接不光滑性，满足了变径内腔内表面容积重建中的视觉需求；同时在不增加计算量的前提下使得插值后容积的测量精度得到了提高，且满足2‰测量误差的要求。

The digital algorithms of integral and discrete wavelet transform are presented for purpose of electric power system protection, based on the analysis of wavelet transform for sampled digital signals under the Shannon sampling theorem.

从电力系统继电保护应用的角度，结合香农采样定理，深入探讨了连续信号和离散信号的小波变换的关系，给出了离散信号的积分小波变换和离散小波变换的数字计算方法。从理论上研究了信号小波变换的误差与尺度函数和小波函数的关系。

On the basis of error processing interpolation theory of non-circular curve and data processing function of Excel, an accurate model of curved parts can be made in Solid Edge with establishing the point curve in Excel.

研究了复杂曲线零件的精确建模，在研究非圆曲线插值算法理论的基础上，利用Excel的数据处理功能，对函数进行误差处理插值计算，在Solid Edge环境中使用Excel创建点曲线的方法进行曲线零件的精确建模，探索出了一种Excel与Solid Edge的完美结合方法，通过凸轮零件精确建模的实际案例，示出了曲线零件建模的整个过程，给出了这种方法在分段曲线中的具体应用。

The main content includes that the accuracy of interpolation operators is creased since defect equations introduce less error: Gauss-Seidel solution can save effectively the computational time, in particular, the CPU-time for the setup phase; Jacobi-relaxation interpolation contributes to efficient and robust algebraic multigrid methods by a simple and purely algebraic mean.

最主要的内容是基于亏量方程引入的误差较小，从而进一步提高插值算子的精度；采用Gauss-Seidel解法有利于节省计算时间，特别是预备阶段的CPU时间；插值的松驰以一种简单的纯代数的方式获得高效且稳健的代数多重网格算法。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷