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Let H. f and g be real polynomials in x, y of degree n+1, at most n and at most n respectively,△ be a set of h such that the real algebraic curve H =h has a compact component δ, and ω=gdx-fdy be a polynomial 1-form.

设H是n+1次实多项式，f，g为至多n次的实多项式，记△为使实代数曲线H=h有一个紧分支δ的所有h之值的集合，ω=gdx-fdy为多项式1-形式。

However, in order to compute the irreducible ascending chain in Wu's method, polynomial factorizations over successive algebraic extension fields are needed.

而在吴零点分解定理中，多个代数扩域上的因式分解是非常基本的一步，主要用于不可约升列的计算。

Each weight function is a composite function of a generalized Chebyshev polynomial and a linear function, only algebraic calculation is needed, and no requirement is involved for the calculation such as the steepest descent-like algorithms or matrix calculation.

权函数是广义Chebyshev多项式和线性函数的复合函数，只需要通过代数计算就可以求得，不需要梯度下降计算或者矩阵计算。

Each weight function is a composite function of a generalized Chebyshev polynomial and a linear function, only algebraic calculation is needed, and no requirement is involved for the calculation such as the steepest descentlike algorithms or matrix calculation.

权函数是广义Chebyshev多项式和线性函数的复合函数，只需要通过代数计算就可以求得，不需要梯度下降计算或者矩阵计算。

This paper discussed some unsolved problems of traditional multivariate polynomial interpolation problems with constructive algebraic geometry methods.

本文利用构造性代数几何方法研究传统多元多项式插值问题中的一些遗留问题。

This paper gives the study of polynomial symbolic algebraic theory in formal verification method.

本文研究基于多项式符号代数理论的形式化验证方法。

The solution composed by algebraic polynomial with double sine series is used to satisfy the corner conditions.

另外用代数多项式和双正弦级数组成的解来满足角点条件。

The algebraic polynomial with double sine series solutions can also satisfy the problem of boundary conditions at four comers.

还有代数多项式和双正弦级数解，它能满足4个角的边界条件问题。

This procedure using C language, completing a polynomial algebraic computation, addition and subtraction by.

详细说明：本程序用C语言编写，完成一元多项式的代数运算，加减乘。

Based on an introduction to the robust control of uncertain linear systems and a survey on the past and recent contributions to the related polynomial algebraic method, state space method and frequency domain method, this dissertation focuses on the robust control problem of uncertain linear systems in frequency and time domain.

本文首先就不确定线性系统的鲁棒控制问题作一扼要的介绍和概括，并分多项式代数方法、状态空间方法和频率域方法对其历史发展及其研究现状进行了比较全面的综述。

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％。