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• The Macaulay computer algebra system is useful for polynomial computations with emphasis on Grobner basis calculations.

Macaulay计算机代数系统对于多项式计算非常有用，并重点强调grobner计算

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• The fitted line in the figure is a 3rd-degree polynomial, but any sort of smoothing would tell you that there is a massive upward trend.

线多项式形式，但是任何形式平滑都会告诉大的上升趋势

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• It runs on a variety of computer systems and is especially good at arithmetic involving arbitrary-length integers and fractions, graphics, and matrix and polynomial algebra.

各种各样计算机系统上运行尤其擅长涉及任意长度整数小数矩阵多项式代数算术

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• The square of the sum of vectors expands into dot products just like a scalar polynomial expands into multiplications.

矢量之和平方，进行分解后，类似标量乘法多项式运算。

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• Shor's algorithm, for example, is able to find the period of a function of N bits in polynomial time.

例如 Shor算法多项式时间找到一个N函数周期

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• Thus - there is no known polynomial solution to this problem, and most believe one does not exist.

因此有没有已知多项式解决这个问题大多数人相信一个存在

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• To observe the character of singularity loci clearly, a polynomial form of the singularity loci are also derived.

为了清楚地观察奇异形位特征，本文得到奇异表达式多项式形式

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• Objective To discuss the clinical application of polynomial curves fitting.

目的探讨多项式拟合曲线临床中的应用

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• To enhance the triangle quality of the simplified mesh, a novel triangular mesh simplification algorithm based on local polynomial fitting surface of vertices was proposed.

为了提高网格简化三角形质量提出一种新的基于顶点局部多项式曲面拟合三角网格简化算法

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• The paper discusses the improved least square method for polynomial differentiation.

本文讨论了多项式微分改进型最小二乘方法

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• The curve of an eddy current displace sensor can be converted into a line by analysing the character of the curve obtained by polynomial fitting.

通过涡流位移传感器位移、电压多项式拟合曲线特点进行分析经过试探发现传感器曲线转化直线

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• The data processing method of warship observation orientation based on polynomial segment fitting, and the sequences of observation orientation were processed in segment.

基于多项式分段拟合舰船观测方位数据处理方法观测方位序列进行分段处理

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• By using this formula, orthogonal polynomial fitting algorithm for initial value problems of ordinary differential equations is established.

利用一公式建立了微分方程初值问题正交多项式合算法。

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• Least square method of polynomial or the method based on the given function are used to fit pump characteristic curve in pump selection or operation.

水泵选型运行中，通常采用多项式最小二乘法根据假设函数关系拟合水泵性能曲线

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• At present nearly all systems of polynomial manipulation are written by LISP or FORTRAN, and run on a serial computer.

目前多项式处理系统采用表加工语言LISP科学计算语言FORTRAN等，一般串行机上实现。

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• One of them is "the interpolation of variable parameters" and the other is the higher order interpolation of rectangular coordinates of satellites by means of Chebyshev polynomial.

可变参数内插法”，用契比雪夫多项式卫星直角坐标进行方法

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• Today's example function is evaluating a third order polynomial.

今天例子评测一个三次多项式

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• Subsequently we present local approximation spaces of some interpolation polynomial.

随后又给出插值多项式局部近似空间

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• In this paper, the design problem of new nonlinear state feedback for linear polynomial system is discussed.

本文线性多项式系统综合问题给出新的非线性状态反馈设计方法。

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• By use of numerical approximation method, the paper USES the polynomial to approach segmentally the transient electric field from dipole dipole array.

本文采用数值逼近方法逐段多项式表示排列变电

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• Every polynomial is differentiable, and so is every rational.

每个多项式的，每个有理函数也是如此

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• Distributed load is regarded as polynomial function or uniformly distributed moment all ng the edge.

荷载采用了多项式形的分布荷载均布边缘力矩

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• Notice that constructing the ARMA innovation model, a left co-prime factorization to a polynomial matrix must be performed, so that the ARMA innovation model can correctly be obtained.

注意构造ARMA新息模型时，必须进行多项式矩阵分解，才能得到正确ARMA新息模型

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• This can be generalized to polynomial interpolation, which is sometimes more accurate but suffers from Runge's phenomenon.

可以推广多项式插值有时准确患有现象

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• The fact that it is impossible to find the global optimum in polynomial complexity has been proved.

理论上已经证明多项式时间复杂度一类问题找到全局最优解不可能的。

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• In this paper, proposition polynomial and 0-1 proposition polynomial are advanced. Using them, analysis of proposition function is realized.

本文提出命题多项式0 - 1命题多项式的概念应用它们实现了命题函数解析化。

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• But the possibility of the sudden changes contained in polynomial considerably produces "sharp pulse" when expressing some curves with polynomial, which has greatly reduced precision.

多项式本身包含突变可能，使得在用多项式拟合一曲线，会表现出大幅脉冲”，对拟合精度影响很大

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• Note however, there is a pseudo-polynomial dynamic programming solution to subset sum that might be utilized here as well.

然而一个多项式时间的动态规划解决方案子集可能利用在这里了。

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• Along horizon LCS and differences in directions of LCSs resulted from faults are used to suppress the undesired LCS and random noise through local dip scanning and polynomial filtering.

此项技术利用沿地层形成相干断层产生相干方向差别通过局部方向扫描多项式滤波除不需要相干随机噪声带来干扰

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• Along horizon LCS and differences in directions of LCSs resulted from faults are used to suppress the undesired LCS and random noise through local dip scanning and polynomial filtering.

此项技术利用沿地层形成相干断层产生相干方向差别通过局部方向扫描多项式滤波除不需要相干随机噪声带来干扰

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polynomial regression [计]多项式回归

polynomial time 多项式时间

polynomial function n. 多项式函数

cubic polynomial 三次多项式；立方次多项式

polynomial equation 多项式方程

chebyshev polynomial 切比雪夫多项式

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