查询词典 quadratic

It is antinomy to analysis factor effects according to first and second order term index of quadratic polynomial,so this paper put forward a new method to explain and evaluate factor effect by F test based on partial regression sum of squares.

传统的二次多项式回归方程在依系数正负、大小解释各因子效应时，常出现一次项与二次项结果相互矛盾的情形，而一般的SVR模型又不具解释性；本文从偏回归分析定义出发，建立了基于SVR以F测验解释、评价各因子相对重要性的方法。

First, orthogonal circle operator was modeled in terms of Zernike orthogonal complex moment; the one-to-one mapping between the edge point and the parameters of the circle was established by the algorithm. Then, quadratic polynomial interpolation was adopted to further locate the edge points in the gradient direction.

首先根据Zernike正交复数矩建立圆物体边缘点与边缘参数之间的映射关系，并提取边缘点；然后利用二次多项式插值在梯度方向上对提取出的边缘点进行进一步定位；最后利用最小二乘法拟合插值后的边缘点，得到亚像素精度的圆参数。

When these coefficients are quadratic functions of the porosity, specific constituent orthogonal weighting coefficients are derived from these orthogonal conditions along with a discussion about how to extend the applicable range of the constituent orthogonal weighting coefficients in the orthogonal coordinates. Based on the combination of the theory of critical porosity and the constituent model, it presents a specific example of the constituent model that includes two transforming points. The reasonability of above-mentioned theories is shown by comparison of theoretical calculations and measured data on effective elastic moduli of clean sandstone or sandstone analogs saturated with pure water.

再次，结合弹性模量组分关系方程与正交基函数理论，推导组分加权系数的正交条件；基于正交条件，提出组分加权系数为孔隙度二次多项式时正交组分加权系数的构造方法以及正交组分加权系数适用范围的拓展方法；结合临界孔隙度理论，提出一个基于两个状态分界点的组分模型实例；比较组分模型的计算结果与前人关于砂岩弹性模量的实验结果，证明了组分孔隙介质模型理论的合理性。

The spatial distribution of intra-node flux and source were approximated by a new orthogonal quadratic polynomial expansion, and a second-order polynomial provided the spatial expansion of transverse-leakage. The neutron angular distribution of flux and transverse-leakage were represented by the S quadrature set.

节块内横向积分通量、中子源的空间分布使用新的正交二次多项式近似；横向泄漏项的空间分布使用二阶多项式近似；中子通量和横向泄漏的角度通过离散纵坐标S

We prove that thecontributions of the quadratic combinations of the extrinsic curvature of the horizon arezero by defining a pair of vectors which orthogonal to the event horizon and dual to oneforms.

计算表明：当取一对与视界面正交且与1-形式对偶的矢量后，视界外曲率的二次项对熵的贡献项为零。

The algorithm has following properties: Although the merit function has the form of least squares of a system of overdetermined equations, in the Newton equation of our algorithm, only the coefficient matrix of the system of overdetermined equations is used instead of its product as in Guass-Newton method for solving the least squares problems. That is, our Newton method is more like that for the system of nonlinear equations rather than that for LSPs. The global convergence is obtained for VLCP with vertical block P_0 + R_0 matrix; The local quadratic convergence rate is proved under the condition that the solution is BD-regular; Although there is only a Newton equation in our algorithm, the finite convergence property can be shown if matrix is vertical block P— matrix (without the hypotheses of strict complementarity).

该算法具有下列特点：所构造的价值函数虽然具有超定方程组的最小二乘问题的形式，但在基此建立的Newton算法中，其Newton方程的形式更象非线性方程组的Newton法中的Newton方程，仅利用了超定方程组的系数矩阵本身的信息，避免了一般最小二乘问题的Guass-Newton法中必须计算系数矩阵的乘积的工作量；对竖块P_0+R_0矩阵的垂直线性互补问题，算法具有全局收敛性；在解是BD-正则条件下，证明了算法的局部二次收敛性；虽然算法只含一个Newton方程，但对竖块P-矩阵垂直线性互补问题，算法具有有限步收敛性。

According to testing results, the stress-strain curve of the cemented soil stabilized the nanometer silica fume is fitted using a quadratic parabolic curve and expression equation for upward sector of the stress-strain curve is given.

根据试验结果，分析了纳米硅粉水泥土的变形特性，并对其应力应变曲线进行了二次抛物线拟合分析，推导了曲线上升段的表达式。

Lots of engineering applications demonstrate that the finite element parametric quadratic programming method is an advanced and efficient method in solving 3D contact problems.

大量的工程应用已充分证明有限元参数二次规划法是解决空间接触问题的一种先进的、行之有效的方法。

In this thesis, the parametric finite element quadratic programming method is adopted to analyze the displacement and stress field of the soil in the composite ground.

本文应用参变量有限元二次规划方法对石灰桩复合地基桩周土体的位移场和应力场进行了计算。

The parametric minimum potential energy principle and the corresponding parametric quadratic programming algorithm are thus derived.

给出了动力弹塑性问题的参变量最小势能原理及相应的参数二次规划算法。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。