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This method assumes a global embedding function in low dimensional space, then incorporates the relative compactness information of the data distributions on the global geometry to reconstruct sample data. Finally, the global low dimensional submanifold is obtained by minimizing the cost function.

该方法首先假定目标空间的整体映射函数，然后结合数据的全局几何结构分布信息进行数据重构，最后通过最小化准则函数来得到嵌入高维空间的低维子流形。

The experimental data could be precisely represented by superimposition of two poisson distributions.

实验数据可以用两个Poisson分布的叠和精确描述。

In.Chapters7-8, when the conditions for the exponential estimate are not satisfied, a local asymptotic estimate and a tail asymptotic estimate for the distributions of ladder height and supremum for the random walk are derived and non-exponential asymptotic forms for solutions of defectiverenewal equations are obtained.

在第七、八章中，首先给出了随机游动阶梯高度及极大值的局部估计和尾估计以及一瑕疵更新方程解的渐近估计，然后将结果应用到风险理论中，得到了一些新结论。

Results: Under the two boundary conditions, finite element analysis results demonstrated that the ossification degree of the subdental synchondrosis did not obviously influence the high stress distributions, as well the maxium von Mises equivalent stress.

结果：两种约束条件下，枢椎有限元计算预测结果发现枢椎软骨基质的融合程度对枢椎高应力集中带分布无明显影响，最大von Mises等效应力值改变亦不明显。

Studying the distributions of taurine in different ages help to understand the effects of taurine during development.

研究牛磺酸在猫不同发育时期的分布变化，有助于进一步了解牛磺酸的作用。

The electromagnetic field tensor method is used to calculate the electromagnetic fields inside a parallel-plate simulator and analytical expressions for the field distributions are derived in time domain.

利用电磁场张量法计算了平行板电磁脉冲模拟器内的电磁场并推导了其时域解析表达式。

The Cu data appears to divide into a normal distribution for values below the first population upper limit 20 ppm for the fractal plot and one or more lognormal distributions above 20 ppm thresholds, which can identifies both the regions of Tertian basalts and main trend of Cu mineralization.

铜元素数据划分二个部分，一部分是元素含量少于20ppm的正态分布数据，另一部分是元素含量大于20ppm的多个对数正态分布数据，能识别第三纪玄武岩区域和铜的主要矿化区。这一结论与使用传统的概率图模型方法得到的结论一致。

Further, the mean weight of each size of bean was used to predict the egg distribution on different sizes of hosts, and Chi-square test was applied to test the goodness of fit between the observed and predicted distributions.

於是我们更进一步尝试以各等级寄主重量所占比例来预测产卵分布，并以卡方分析来检测其与实际产卵分布的差异。

In this paper, a computer programme is discussed, which, as a mathema-tical model, can be used to calculate the probability distribution as respects random variable-normal, lognormal, binomial, negative binomial and Poisson distributions, and can be used for x2 test of goodness of fit as well.

本文是计算随机变量概率分布的数学模型—正态分布，对数正态分布、二项分布、负二项分布。普阿松分布及检验X~2适度检验的一个计算机程序。

Then,we presented an analytical method to solve the dynamic stresses and perturbation of magnetic field vector under thermomagnetic shock,and obtained the response histories and distributions of the dynamic stresses and the response histories of perturbation of magnetic...

提出一种解析方法求解在热磁冲击作用下厚壁圆筒的动应力和磁场矢量扰动，得到柱体内动应力响应历程和分布规律及磁场矢量扰动的响应历程和分布规律。实例计算表明该方法是简单、有效的，并给出了一些有实际意义的结果。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。