有了曼德尔勃特集合，蔬菜和二次多项式都变得有趣多了。这个方程序表现了类似图中的花椰菜菜籽的重复的复杂性。
Both vegetables and quadratic polynomials are made more interesting with the Mandelbrot set. The formula explains the repeating complexity of broccoli heads like this one.
本文从不同种植密度和施氮量对玉米籽粒产量的影响，建立了二次多项式回归方程。
Second-degree polynomials equation of maize(Zea Mays L. ) grain yield with both planting density and nitrogen fertilization was established by means of regression analysis.
采用二次多项式逐步回归分析法建立了三元不对称有机磷酸酯类杀虫剂的多元非线性构效关系回归模型。
Nonlinear multiple regression model on the structure activity relationship of ternary dissymmetric organic phosphate insecticide is obtained by quadratic polynomial stepwise regression method.
在第二章中，我们采用截断多项式函数为核函数，解析的给出点、直线段、圆弧、二次曲线和三角面片等骨架的势函数。
In chapter two, using piecewise quartic polynomial as kernel function, we give analytical convolution solutions for points, line segments, arcs, quadratic Bezier curves and triangle segments.
采用数量分析的方法，系统研究了不同种球大小对鳞茎生长的影响，并对主要性状进行了二次多项式回归分析；
Systematically studying the influence on bulb growth caused by different seed size with quantities analysis method and also making quadric polynomial return analysis towards main characters.
大量的关于随机的凸二次规划问题的数值实验结果表明它的计算效率是高的，在某些条件下可能是多项式时间算法。
Some numerical results for a large number of random convex quadratic programming problems show that the new algorithm is efficient and might be a polynomial-time algorithm under some conditions.
本文主要研究双二次多项式的动力系统。
D dissertation is concerned with the dynamics of biquadratic polynomials.
本文利用二元二次多项式变形技术，提出了一种轮对外形尺寸非接触测量的现场标定方法。
A method of field calibration technique for wheelset profile non-contact measurement was proposed by using second-order polynomial warping technique.
多项式回归分析表明，花粉可育率对特效烯浓度和播期的反应是二元二次方程。
Polynomial regression analysis indicated that the reaction of fertile pollen rates to tetcyclacis concentrations and dates showed a quadratic relationship.
此判别法在计算机上切实可行，很可能计算量是一个二次多项式级的判别方法。
It is reliable to apply it on computer. The computational complexity may be a way to judge quadric multinomial level.
基于这种基函数，建立了一种带多个形状参数的二次双曲多项式曲线，该类曲线对于非均匀节点为C1连续。
Based on the basis functions, quadratic hyperbolic polynomial curves with multiple shape parameters are constructed. These curves are C1-continuous with a non-uniform knot vector.
提出了用二次多项式重构励磁涌流的新算法，并确定了相应的采样率。
A new algorithm by use of quadratic polynomial is proposed to reconstruct inrush, and the corresponding sampling rate is determined.
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.
给出了用切比雪夫多项式方法，求时滞系统的无穷时间线性二次型反鐀控制律的近似解析解的新方法。
A new algorithm derived from Chebyshev polynomials is presented for the approximate analytic solution of infinite-time linear-quadratic optimal feedback control law for time-delay systems.
在标准模糊系统的基础上提出了以正规二次多项式和正规三角函数为基函数的两类标准模糊系统。
This paper establishes the standard fuzzy systems with partition of normal quadratic polynomial membership functions and normal trigonometric membership functions.
该方法从分析球面调和函数入手，首先得出环境贴图的二次多项式表达形式；
The approach starts from an analysis of spherical harmonics and finds out a quadratic polynomial form of environment mapping.
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.
本文从一般强度理论出发导出各向异性材料应力形式张量多项式强度理论，根据强度准则的外凸性得到应力二次形式强度准则的强度参数限制条件。
A set of inequality constraint conditions of the strength parameters is derived from the convexity of the strength criterion, which is expressed in a quadric form in terms of stress components.
本文从寻找一种精确拟合大角度入射时反射系数随入射角变化的方法入手，提出一个与泊松比有关的二次多项式。
The authors'attempt is to find out an approach by which reflection coefficients can vary with incidence when large incidence is best fitted.
但二次多项式只能拟合x坐标与Y坐标之间成函数关系的点序列，无法拟合闭合曲线。
But the quadratic curve can be used only in condition when each X-coordinate of the points sequence mapping to only one Y-coordinate, so it can't be used in fitting closing curve.
然后利用二次多项式模型拟合文本行的中心线，并建立径向失真校正的目标函数。
Then, it used second order polynomial to fit the Central Line of text line, and constructed the object function of lens distortion.
这样二次型就包含了零多项式，从而解决了把零多项式排除在二次型外带来的二次型理论中的某些矛盾现象。
As a result, the quadratic form will contain zero - polynomial so that some contradictions in theory on quadratic form caused by excluding zero-polynomial from quadratic form is eliminated.
研究两个多项式的根的相对分布的显式判定问题，得出两个三次多项式的根的相对分布以及二次和四次多项式的根的相对分布的显式判定。
We obtain the relative distribution of roots of two polynomials whose degrees are respectively 2 and 4, and we answer the same problem about the two polynomials of degree 3.
公式表明，不完全双二次多项式的DEM传递误差与双线性多项式的传递误差相同。
The formula shows that the propagation error from biquadratic polynomial is the same as the error from linear polynomial.
进一步要求：实现三元二次多项式的乘法。
Further requirements: to achieve quadratic polynomial multiplication.
对于强度不同的岩块，其级配曲线具有很强的相似性和相关性，并可用二次多项式进行描述。
For rock blocks with different strengths, the curves of grading of granular have strong similarity and relativity and can be described by polynomial.
利用待定系数法得出了三元二次多项式可进行因式分解的充要条件，并应用这个充要条件解决了两个具体问题。
In this paper a suffitient and necessary condition of factoring on the polynomial of three variables power two is obtained by using undefinite co efficient method.
本文利用二次型理论给出了二次函数最值的一个充分条件及求法 ，定义了二元齐次多项式的正定性 ，并基于定义给出了二元函数极值的一个充分条件。
This paper is mainly devoted to provide a supplementary analysis of extreme value problem of bivariate functions, in which a new sufficient condition and its concise proof when critical case is given.
本文利用二次型理论给出了二次函数最值的一个充分条件及求法 ，定义了二元齐次多项式的正定性 ，并基于定义给出了二元函数极值的一个充分条件。
This paper is mainly devoted to provide a supplementary analysis of extreme value problem of bivariate functions, in which a new sufficient condition and its concise proof when critical case is given.
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