极小

The properties of four factorized chi-square forms, which are used in minimization of correlated data, are studied, including their biasness and unbiasedness.

研究了关联实验数据的四种因子化形式的χ2 表达式及其极小化性质，同时讨论了极小化估计值的有偏性与无偏性。

The bilinear programming is converted into a max-min problem on the principle of duality, and a linear approximation algorithm for the max-min problem is presented, which proves to be convergent in finite steps.

利用对偶原理，将双线性规划问题转化为极大极小问题，研究了该极大极小问题的线性逼近算法，并证明了该算法在有限步内收敛。

The bilinear programming is converted into a max min problem on the principle of dual ity, and a linear approximation algorithm for the max min problem is presented, which proves to be convergent in finite steps.

利用对偶原理，将双线性规划问题转化为极大极小问题，研究了该极大极小问题的线性逼近算法，并证明了该算法在有限步内收敛。

This paper discusses minimal surface in arbitrary boundary and describes a new method for approximating to minimal surface with B- spline surface in arbitrary bounded domain.

讨论了任意边界下的极小曲面造型问题，提出了一个用B-样条函数做任意有界区域上极小曲面造型的新方法。

Then our galaxy and the Clouds of Magellen rotate about their centre of mass (which is 'not far' from that of our galaxy) and the motion of the "local" galactic clusters.

而我们的银河系和大麦哲伦云也会绕它们的公共质心运行，还有本星系群的运转，这些都只有极小极小的效应。

The basic idea of Tikhonov regularization is that linear compact operator equation of the first kind is replaced by the minimization problem of Tikhonov functional, the paper demonstrates the minimization of Tikhonov functional is an well-posed problem. In the end, the paper suggests a new type of iterative algorithm to solve inverse problems of parameter identification for one-dimension parabolic partial differential equation .

本文论证了Tikhonov泛函极小化问题是适定的，即满足西安理工大学硕士学位论文解的存在性、解的唯一性和解连续依赖于数据的稳定性：并且此极小化问题等价丁求解第一类方程的正规方程。

In terms of the minimum question of a positive definite quadratic function,a set of Newton directions in minimum points derived with an accurate single dimensional search are used to produce a set of conjugate direction ,and a proof of convergence is presented.

对正定二次函数极小问题，利用精确一维搜索所得极小点处的牛顿方向来生成一组共轭方向，并给出收敛性证明

Using level-set method, mathematical representation for contimuum structures is proposed by means of the vector of level-set, and the general structure topology optimization can be expressed by a constrained functional minimization problem of a set of level set functions.

其次利用水平集方法将一般拓扑优化问题描述为一组水平集函数的约束泛函极小化问题，应用敏度分析，给出了此泛函极小化数值迭代求解公式，即水平集演化方程。

A Study on Fraunhofer Double-Slit Diffraction by Applying Simulation Technology;2. Based on Kirchhoffs theory,the approximate intensity formulas of double-slit diffraction of Gaussian Beam is derived under paraxial approximation with power series expansion methods.

依据基尔霍夫衍射理论，利用幂级数展开的方法推导出旁轴条件下高斯光束双缝衍射的近似光强计算公式，并通过数值计算对双缝衍射的基本特性进行了讨论，得出了与其他文献一致的结论，得出了高斯光束下的双缝衍射极小值点比平行光束双缝衍射的极小值点向外移，观察屏中心光能变小；光强分布可由激光斑在衍射屏处的参数调制的结论。

The generalized criterion for minimum zone in the determination of form error of surface is presented on the basis of linear minimax techniques, and the criteria of such surfaces as for cylindricity and straightness with arbitrary direction are derived from this generalized criterion.

本文讨论形状误差最小区城的判别准则和判别方法。根据线性极差极小化问题解的特征，给出形状误差最小条件的统一判别准则。推导出各种形状误差最小区域判别法(包括圆柱度误差和任意方向直线度误差)，并在几何判别的基础上得出代数判别的格式。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失