查询词典 fractional error

In recent years, systems which based on fractional differential and integral fractional, have been researched extensively, involving fractional circuit, fractional digital signal processing, fractional dynamics control systems and fractional-Chaos and super-chaos, Chaos Control and fractional chaos synchronization, and security communications. And a lot of theoretical and practical results are obtained.

故而近年来基于分数阶微分和积分的分数阶系统已在动力学系统中得以较为广泛的研究，其中涉及分数阶电路、分数阶数字信号处理、分数阶动力学控制系统以及分数阶混沌和超混沌、分数阶混沌控制与混沌同步、保密通信等多个领域，取得了不少的理论和实际结果。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function, the concrete equation formulas of fractional-dimension derivative, differential and integral are described distinctly further, and the difference between the fractional-dimension derivative and the fractional-order derivative are given too. Subsequently, the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again, and the differences with Hausdorff measure method or the covering method at present are given. By applying the measure calculation equations, the measure of self-similar fractals which include middle-third Cantor set, Koch curve, Sierpinski gasket and orthogonal cross star are calculated and analyzed.

通过讨论一般函数的分维导数的位置假设及幂函数的分维导数的形式假设，进一步明晰了幂函数的分维导数、分维微分及分维积分的具体方程形式，给出分维导数与分数阶导数的区别，随后讨论了基于一般分形测度的分维微积分形式定义导出的自相似分形的测度计算方程具体形式，给出了其与目前 Hausdorff 测度方法的区别，并对包括三分 Cantor 集合、 Koch 曲线、 Sierpinski 垫片及正交十字星形等自相似分形在内的测度进行了计算分析。

It also can be used to measure the geometrical tolerance, such as straightness error, roundness error, cylindricity error, parallelism error, perpendicularity error, angularity error, coaxiality error, symmetry error and circular run-out error etc.

该仪器集机、光、电于一体，采用了新的光路系统和近些年最新的测量方法及数据处理方法，具有功能多、体积小、重量轻、操作方便、非接触测量、测量精度高等特点。

In this paper, some characteristic functions of the multifunctional single-flank mesh gear tester of model CD320G-D which is applying gear integrated error measuring technique, computer technique, error separation technique, fault diagnosis technique and error prediction technique, including automatic searching of profile error start point, determination of profile barrelling, separation of profile form error and profile slope error, measurement of profile error with evaluation range subtracting tooth tip, measurement of tooth topograph and statistical analysis of gear manufacture error, are presented.

阐述了综合应用齿轮整体误差测量技术、计算机技术、误差分离技术、故障诊断技术和误差预报技术的多功能 CD320G-D 型单啮仪的一些具有特色的功能。这些功能包括齿形误差起测点的自动找定、凸形齿凸形量的测定及其形状误差与倾斜误差的分离、取值范围扣除齿顶部的齿形误差的测量、齿面轮廓度误差的测量以及齿轮加工误差的大样本统计分析。

this paper proposes a design method which can improve the performance of fractional order differential filter obviously under the premise of not increasing the structure complexity of the filter.this scheme which bases on mutually compensatory characters of typical differentiator and uses interpolated method to improve performance of iir digital fractional differential filter.the improved frequency response of fractional differential filter is more close to ideal fractional differential filter,it indicates the validity of proposed method.

摘 要：提出一种在不增加分数阶微分滤波器复杂度的前提下，能有效提高分数阶微分滤波器性能的方法。该方法利用几种基于典型微分算子的分数阶微分滤波器之间的互补性，通过相互内插结合的方式，用于提高iir分数阶数字滤波器的性能。改进后的分数阶微分滤波器频率响应更接近理想分数阶微分滤波器，表明所提方法的有效性。

Second, the data checking and correction process, to understand the various sources of measurement error, its three main areas: equipment error (determined by the instrument itself, is an objective source of error), observation error (due to the technical level personnel a result of belonging to a subjective source of error), external influence error (subject, such as temperature, atmospheric refraction effects of external factors such as these factors are also constantly changing and difficult to control, belonging to a variable source of error).

其次，在对数据的检查和矫正的过程中，明白了各种测量误差的来源，其主要有三个方面：仪器误差（仪器本身所决定，属客观误差来源）、观测误差（由于人员的技术水平而造成，属于主观误差来源）、外界影响误差（受到如温度、大气折射等外界因素的影响而这些因素又时时处于变动中而难以控制，属于可变动误差来源）。

To analyze the pseudo phenomena caused by migration velocity error, the paper firstly studied the depth error between post-stack migration and prestack migration caused by same velocity error, and found the depth error was only relative to velocity error and had no direct matter with methods of depth migration (post-stack migration or prestack migration). Then the paper did numerical simulation of a complex lenticular body model with wave-equation modeling and migration, and found that the velocity error could not only induce depth error, but also could change the modality of construction and the event of subjacent layers. Furthermore, it could change the frequency of reflective event. They are the pseudo phenomena caused by migration.

从分析偏移速度误差带来的各种假象出发，本文首先对比分析了速度误差对叠后深度偏移和叠前深度偏移的影响，发现偏移剖面的深度误差仅与速度模型的误差有关系，与具体的偏移方法没有直接的关系；然后对一个复杂的透镜体模型进行了波动方程叠后正演和偏移计算，详细地讨论了不同的速度误差带来的各种假象，发现速度误差不仅会带来深度误差，而且会造成构造体的形态变化，下覆地层同向轴的扭曲，还可能引起地层同向轴的频率发生变化，给资料解释带来一定的假象。

Error analysis In order to analysis the pose error of the hexapod machine tool, considering the characteristics of the parallel mechanism,"analysis on the error prominency factors for the hexapod machine tool pose error"is proposed. Numerically, the error prominency factor can express the influence on the pose error of the tool resulted from the mechanism parameter error within the whole workspace.

四、位姿误差分析为了定量地对并联机器人机床位姿误差进行分析，结合并联机构的特点，首次提出了&并联机器人机床位姿误差放大因子分析法&，因位姿误差放大因子是反映机床机构参数误差对刀具末端误差影响大小的机床工作空间内的统计值，因此既可作为机床结构参数精度设计的依据又可对机构参数进行优化。

Error Analysis of UGPS Error sources of UGPS include GPS observation error, attitude error, baseline network strength, sound velocity error, time measuring error.

系统的误差分析实现水下的精密定位，需要分析影响系统定位的各种因素。

He has to relate with three women in the movie, and yet remain implicitly faithful to the unseen Lucinda.

让克劳德布里亚里成功地饰演试验了一个难度很大的角色：和三个女人打交道，但还要底下对观众未曾谋面的卢馨达保持忠诚。

The experiment was conducted to study effects of inulin on the growth performance, indices of immune organs and serum immunoglobulin of laying chicklings as well as the performance of inulin which replaced the antibiotics in diets by adding 0.2%, 0.4% and 0.8% of inulin, respectively.

试验旨在通过在蛋用雏鸡日粮中添加0.2%、0.4%和0.8%的菊粉，研究菊粉对蛋雏鸡生长性能、免疫器官指数和血清免疫球蛋白的影响，以及菊粉替代抗生素对蛋雏鸡的应用效果。