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误差曲线

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In generic mathematical approximation methods Chebyshev multinomial approximation algorithm has better effect on reducing approximation error. This paper brought forward a parallel Chebyshev multinomial approximation algorithm based on a unique representation of complex curve, and implemented the parallel program in two Java methods.

常用的数学逼近法中切比雪夫多项式拟和法误差较小,对此,提出一种基於复杂曲线表示的切比雪夫多项式拟合并行算法,并采用两种Java方案实现并行程序。

Consider singular growth curve model as follows : Y = ABC + E , where A , C are all known matrices, B is an unknown matrix of regression coefficients , Y is a matrix of observations and E =(1,(2),... is matrix of random errors .

考虑奇异增长曲线模型:Y=ABC+E,其中A、C均为已知矩阵,B是未知回归系数阵,Y为观测资料阵,E=ε_((1)…ε_(n′为随机误差阵,假定Eε_(iε_(i′=∑,i=1,2…n,Eε_(iε_(j′=0,i≠j,这里∑≥0。

Consider singular growth curve model as follows : Y = ABC + E , where A , C are all known matrices, B is an unknown matrix of regression coefficients , Y is a matrix of observations and E =(1,(2),...

中文摘要:考虑奇异增长曲线模型:Y=ABC+E,其中A、C均为已知矩阵,B是未知回归系数阵,Y为观测资料阵,E=ε_((1)…ε_(n′为随机误差阵,假定Eε_(iε_(i′=∑,i=1,2…n,Eε_(iε_(j′=0,i≠j,这里∑≥0。

The authors present a targets detection method based on the hierarchical clustering which constructs the similarity measuring function according the movement rule of stars and targets,finds the optimal separating hyperplane and classified amount by means of finding the inflexion of error square sum function,then distinguish the targets from stars and noises by two level hierarchical clustering.

提出了基于层次聚类的空间弱小目标检测算法,以星点到参考恒星之间的距离变化为依据,根据恒星和目标的运动特性构造相似性度量函数,通过寻找误差平方和曲线拐点的方法寻找最优分类曲面和分类个数,最后以两层复合分类将恒星、噪声和目标分离。

The error model of normal direction is a simplified model of the previous one and is widely used in describing error of straight lines.

通过实例说明了εm模型是理论上更加严密的缓和曲线误差模型,而εm模型是一种简化的描述模型。

Finally, error analysis and numerical simulations are presented to further illustrate the feasibility of the proposed strategy.

此外,将路径型态分成直线、圆型和曲线三种,在给定平台之移动特定点后,以程式运算其数值结果并以动态软体描绘。最后探讨与分析顺序调控之误差量。

The question of searching characteristic points or straight lines on moving rigid body is decomposed into two relatively independent sub-questions. The first one is to evaluate the characteristic of points and straight lines on moving rigid body, whose mathematics model is a kind of special non-differential max-mini optimal problem with inequality constraints. By the method of Saddle-point Programming and maximum entropy, the problem can be transformed as a differential optimal problem with single objective. The second oner is to search approximative character points or straight lines on moving rigid body within design space, whose mathematic model is nonlinear and non-differential problem with multiple constraints.

本文将在运动刚体上寻找特征点或直线的优化问题分解为两个相对独立的子问题,一是对运动刚体上点或直线的特征性评定,其实质是平面曲线的圆度或直线度的评定问题,优化模型是以最大误差为最小作为优化目标的约束不可微的优化问题,本文采用鞍点规划和极大熵方法,将其转化为单目标可微优化模型;二是在设计空间内,寻找运动刚体上特征性评定指标最小的近似特征点或直线,其优化模型是非线性、多约束的不可微优化问题,本文提出用遗传算法和BFGS局部搜索法相结合来求解。

Fabric geometrical parameters based on unit cell model and fabric's FVFs based on macro-unit cell model are perfectly fitted to the orthogonal woven fabric with square shape binder path, but there are some differences for the fabric with sine-line binder path which is the more practical shape.

研究发现,单元体法计算的织物结构参数和巨元体法计算的纤维体积含量,对于接结纱呈矩形折线的正交组织机织物是适用的,但对于接结纱呈曲线的实际织物,还存在着一定的误差。

A realtime parametric curve interpolation algorithm is proposed in this paper, which can automatically adjust feedrate to confine the contour error within a given tolerance.

本文给出了一种能够自动调整进给速度,将轮廓误差限定在允许范围之内的参数曲线的实时插补方法。

In this paper, based on the 1st order Taylor's expansion approximation interpolation, a realtime parametric curve interpolation algorithm is proposed in this paper, which can automatically adjust feedrate to confine the contour error within a given tolerance.

本文在一阶泰勒展开近似插补方法的基础上,给出了一种能够自动调整进给速度,将轮廓误差限定在允许范围之内的参数曲线的实时插补方法。

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