查询词典 fractional error

First,an optimal filtering operator on the continuous fractional Fourier domain is provided according to the orthogonality principle about the linear minimum mean square error estimation,and then,a discrete algorithm of the filtering operator is further proposed.

首先由线性最小均方误差估计的正交条件出发，得到了连续分数阶傅立叶域上的等效Wiener滤波算子的求解方法；在此基础上，进一步给出了滤波算子的离散化算法。

In Chapter 2, starting from the basic fractional ordinary differential equations,weapply a high order approximation of fractional derivative advanced by Lubich to frac-tional differential equation, construct a high numerical difference scheme to solve thefractional differential equation, present error analysis of the algorithms theoretically,and prove the consistency ,convergency and stability.

接下来的第二章中，首先从基本的分数阶常微分方程出发，对Lubich提出的一个关于分数阶导数的高阶近似，将其应用于分数阶微分方程，构造高阶数值差分格式来进行分数阶微分方程的数值求解，并在理论上给出这一算法的误差分析，证明了它的相容性，收敛性和稳定性。

A new numerical method for the fractional integral that only stores parthistory data is presented,and its discretization error is estimated.

提出了一种只需要存储部分历史数据的分数积分的数值计算方法，并给出了误差估计。

For the diffractive optical element realizing beam shaping in the fractional Fourier transform domain,the transform matrix calculated by the discrete sampling points was compared with that calculated by the Fresnel integral,and the discretization error of the intensity distribution on the output plane was qualitatively obtained.

针对分数傅里叶变换衍射光学光束整形器件，比较了按离散点与按菲涅耳积分计算得到的变换矩阵间的差距，从中分析得出按离散点计算的变换矩阵引入的离散化误差与分数傅里叶变换系统参数的关系。

The method can beused to solve the integro-differential equation included fractional integral orfractional derivative in a long history and the difficulty of storing all history data isovercome and the error can be controlled.Two numerical examples are presented.

利用该方法可对包含分数积分和微分的积分-微分方程进行较长时间的数值模拟，克服了存储全部历史数据的困难，并能对计算误差进行控制。

In Chapter 4, we consider more complex fractional nonlinear differential equation,also using the high order approximation presented by Lubich to construct correspond-ing numerical scheme and giving the error analysis of the algorithms.

在第四章中，进一步的考虑更复杂的非线性分数阶常微分方程，同样利用的是Lubich提出分数阶导数的高阶近似，构造相应的数值格式，并给出这一算法的误差分析，即相容性，收敛性和稳定性的证明。

Further analysis shows, the average fractional error between the related equation and the actual experimental date is 1.5% in 20℃. The related equation based on dimensional analysis can properly coincide with the actual result.

通过分析比较发现，20℃时关联式相对於实测数据的平均相对误差仅为1.5%，由此证明利用量纲分析得出的膜通量衰减关联式较好地反映了实验结果。

One position control system is introduced as the objective controlled by FOC. Based on Mittag-Leffler function, the fractional order control system with full memory length is adopted as evaluation criterion, and an approximation performance function of discretization methods is proposed. Analyzing the time domain error and approximation performance, the investigation to various discretization methods is carried out comparatively in detail.

引入一个位置控制系统作为分数阶控制对象，将Mittag-Leffler函数的全记忆长度分数阶控制系统作为评估基准，提出了一种离散算法的近似性能函数，通过时域误差分析以及近似性能分析，对比研究了分数阶微积分算子的数字实现方法。

The substitution model of RBF neural network was made respectively by 3 different test functions. The error analyses indicate that the fractional steps experiment design method is very practical for the substitution model needed large scale test sample points.

对3个测试函数建立RBF神经网络替代模型，其误差分析表明，分步试验设计方法对于需要大规模试验样本点的替代模型是非常实用的。

Comparing these deviation values and the colligate error controllable limit of the ferrography technical and analysis the amount of deviation, the method of fractional precipitation is feasible in actual operation .

通过比较这些偏差值与铁谱技术的综合误差控制限度，并分析误差原因，来判定铁谱技术中磨粒分步沉积方法在实际操作中的可行性。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。