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The spatial autocorrelation coefficient and spatial regression model are widely applied spatial statistic techniques to explain the effects and distributions of spatial factors. This study identifies the major driving forces of the spatial neighborhood effect on land-use/land-cover change in Metropolitan Taipei.

空间自相关系数(spatial autocorrelation coefficient， SAC)或空间回归模型(spatial regression model， SRM)为探讨空间关系常用的工具，其中空间自相关系数以相关系数之观念，藉以探讨空间聚集的型态；空间回归模型则以线性回归模式为基础，探讨自变数以及依变数项的空间差异，对空间近邻效果提供有效的解释方式。

Based on these, a general mathematical model for the polar autocorrelation function is set up and the theoretical basis of the polar correlation method is presented.

在此基础上，建立了一般的极性相关函数的数学模型。从而论证了极性相关法的理论依据，拓宽了极性相关法的适用范围。

The coexistence curves and light scattering data for a critical solution of benzonitrile + octane have been reported. The critical exponents relating to the difference in the density variables between two coexisting phasesβ, the osmotic compressibilityγ, and the correlation length v have been deduced and the values were consistent with the 3D-Ising value in the range close to the critical point. The experimental results of the coexistence curves have also been analyzed to examine the Wegner correction terms and the behavior of the diameter of the coexistence curves.

用折射率法和不同角度的光散射法测量了苯甲腈+正辛烷二元体系在临界温度附近的液-液共存曲线和一相区不同温度下的渗透压缩系数及关联长度，得到与共存曲线相关的临界指数β，与渗透压缩系数相关的的临界指数γ和与关联长度相关的的临界指数γ，发现在近临界点体系符合3D-Ising模型，讨论了共存曲线直径和Wagner校正项。

Cu is positively correlated with Cd in the two seasons and it is also found for the first time that they are positively correlated with nutrients in the South China Sea surface waters, which further indicate the biogeochemical cycle of these elements in the marine environment.

相关分析的结果表明各重金属夏季相关性优于冬季，Cu与Cd存在良好的正相关关系，并且首次在南海表层水发现Cu，Cd与营养盐的相关关系。

The result showed that the single correlation between the characters of weight and heart girth, chest width and circumference of cannon bone was significantly different. The correlation between weight and heart girth, chest width, circumference of cannon bone was highly positive correlation. Among seven regression models, the correlation index of six regression models was over 0.7, but that of 60 days was 0.452. The result suggested that selecting body weight was efficient through heart girth, body high, chest width and circumference of cannon bone.

对不同日龄各项体尺与体重建立的了回归方程，结果表明，60日龄回归模型的决定系数R~2=0.452，其它6个回归模型的相关指数均在0.7以上，其中方程1、5、6、7的相关指数都在0.9以上，表明这些回归方程中各项体尺指标与体重之间相关密切，根据胸围、管围、体高和胸宽对体重的选择都是有效的，具有一定的参考作用。

In group which had significantly correlation to multiple charactergroups, the largest canonical correlation coefficient contained smaller ratio of geneticcorrelation information in total genetic correlation information than other singlecharacter group.

一般与多个性状组间的典型相关分析达到显著水平，但最大的典型相关系数包含的遗传信息占总相关信息的比率反而减小。

Experimental results indicated that the first canonical correlation coefficient and the second canonical correlation coefficient was 0.8451 and 0.7843 respectively, they have constituted 91.37% of the total correlation. The first canonical variable (V1) of the response signals group had certain predicted ability on physicochemical index of milk, but the predicted ability was a little weak, response signals of ZZ sensor(X1)、CA sensor(X4) and JB sensor(X7) played a crucial role .At the same time, four canonical variable V and W have explained 42.49% and 43.25% of the total variances of the other group respectively.

试验结果表明：第一典型相关系数和第二典型相关系数分别是0.8451 和 0.7843，前两对典型变量共占总相关的91.37%；响应信号组的第一典型变量(V1)对牛奶理化指标具有一定的预测能力，但预测能力较弱，起主要作用的是ZZ传感器响应信号(X1)、CA传感器响应信号(X4)和JB传感器响应信号(X7)；与此同时，V和 W 的四个典型变量分别解释另一组变量总方差的42.49%和43.25%。

The results showed that the first canonical correlation coefficient between aldehydes, ketones, esters and the total quantity of each kind of ingredient and smoking quality achieved 5 % or 1 % remarkable level. And their correlation depended mainly in the correlation between phenylacetaldehyde, furfural, megastigmatrienone-1, megastigmatrienone-3, geranylacetone,β-damascenone, keto-isophorone, dihydroactinidiolide and smoking quality.

结果表明：醛类成分、酮类成分、酯类成分与香气质、香气量的第一典型相关系数达到5%或1%显著水平，各类成分总量与香气质、香气量的第一典型相关系数达到1%极显著水平，其相关关系主要表现在苯乙醛、糠醛、巨豆三烯酮1、巨豆三烯酮3、香叶基丙酮、β-大马酮、氧化异佛尔酮、二氢猕猴桃内酯等成分与香气质、香气量的相关上。

As an improved version of Mutual Information, NCC can quantitatively describe the nonlinear correlation degree between two variables using a value in the closed interval [0, 1]. Therefore, it is more intuitionistic and suitable to compare and analyze the correlation degree among images.

由于非线性相关系数是对互信息的改进，它能够以[0，1]之间的数据量化两个变量之间信息相关的程度，因此比互信息更易于对图像之间的相关程度进行比较和分析，描述更加直观。

The correlation of the stem area of cactus and the quantity of the cochineal was simulated by the curve equation.

对仙人掌茎片面积与胭脂虫寄生数量关系进行曲线方程的模拟，相关系数最高的为一元线性方程，方程为Y=728.515+0.347X，但相关系数仅为0.211，说明胭脂虫寄生与仙人掌面积并无明显的相关关系。

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。