为了提高网格简化后的三角形质量，提出了一种新的基于顶点局部多项式曲面拟合的三角网格简化算法。
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.
根据计算精度要求，确定福里哀级数和勒让德多项式的项数，从而得到实用简化公式。
According to the desired accuracy, we determine the number of terms in the Fourier series and Legendre polynomials, then the Practical simplified formulae are obtained.
本文使用拟合多项式描述汽车发动机负荷特性，提出结构简化的汽车速度和方向控制模型。
This paper USES polynomials to express the load characteristics of the automobile engine, and presents simplified structure velocity and direction control models.
作者在最小二乘法的基础上，提出分段直线拟合算法来代替多项式曲线拟合，从而达到简化数学模型的建立和减少计算量的目的。
The author proposes a sectional line fitting to re - place the polynomial curve fitting, which results in simplifying establishment of mathematical model and reducing the amount of calculation work.
针对多孔介质特殊的孔隙结构特征，建立了一个新的简化孔隙力学模型，并由该模型导出了渗透率与有效应力的二次多项式关系。
A new simple pore mechanics model is established based the pore structure of low permeability reservoir rock, from which the quadratic equation of effective stress and permeability can be educed.
本文利用特征多项式方程使得二次曲面交线的平面曲线分支的求解简化成平面与二次曲面求交问题。
The planar components and straight line components of the quadric surfaces intersections are studied precisely by means of matrix algebra in this paper.
这些关系式不仅将HOMFLY多项式的通式扩展到一族多面体链环上并且可以简化计算一些特殊的多面体链环类的HOMFLY多项式。
These relationships not only expand the general formula of HOMFLY polynomial into a family of polyhedral links but also simply the computation for HOMFLY polynomial of some special polyhedral links.
基于纽结理论和图论，文章简化了多面体链环的HOMFLY多项式的计算。
Based on knot theory and graph theory, the paper simplifies the computation for HOMFLY polynomial of polyhedral links.
该判据将BIBO稳定性的判别问题转化为比较两个多项式结式的公因子重数问题，从而使问题在一定程度上得到简化。
This criterion converts the problem of BIBO stability test into that of the comparison of the degrees of two polynomial resultants.
该判据将BIBO稳定性的判别问题转化为比较两个多项式结式的公因子重数问题，从而使问题在一定程度上得到简化。
This criterion converts the problem of BIBO stability test into that of the comparison of the degrees of two polynomial resultants.
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