维数

Based on DEM data of different development periods of a indoor watershed model obtained from the integration of artificial simulated rainfall experiment and high accuracy digital photogrammetry technique, the fractal dimensions of topographic feature under different development periods of the indoor watershed model based on variation method were calculated and the relationships between watershed topographic feature fractal dimension and topographic factors such as watershed gully density as well as ground lacerative degree was discussed preliminarily.

以室内流域模型人工模拟降雨试验和高精度摄影测量获得的模型流域不同发育时段的数字高程模型数据为基础，采用变分法计算了流域地貌形态分形维数，并对分形维数与地貌因子沟谷密度和地面割裂度的关系进行初步探讨。

The particle size distribution fractal was introduced into powders' flowability testing, through used the mathematical model which utilize the geometry properties of the particle, and propitious to the digital micrographic image analysis method. It was gained the fractal dimensions, discussed the relationship between the powders' flowability denotation parameters and powders' PSDF, and also made a primary research about the action effect of flow addition reagent magnesium stearate.

本文中在颗粒流动性测试时引入粒度分布分形维数，通过采用利用颗粒几何特征，便于采用数字显微和用像处理计算粉体粒度分布分形维数值的数学模型，得到粉体粒度分布分形维数值，探讨颗粒流动性表征参数与粉体粗度分布分形维数值间的关系；并就流动助剂硬脂酸镁对粉体流动性能的改进与粉体粒度分布分形维数值关系进行了初步探讨。

And we prove the continuity of upper box dimension and packing dimension for homogeneous Moran set.

并证明了齐次Moran集对上盒维数和填充维数的连续性。

In practice, each sensor may have different observation dimension; that is to say, each sensor may make use of different model to observe the same target. In order to solve the above problem, by mapping among the state spaces, a nonequal dimension MAP estimate fusion algorithm between the output target estimate state and feedback is presented in this paper. Computer simulations show the effect of algorithm.

在实际中各传感器的观测信息维数不一致，也即各传感器可能采用不同的模型观测同一目标；为解决上述问题，通过建立状态映射，提出了输出目标估计状态之间维数不同情况下的带反馈极大验后估计融合方法，并通过计算机仿真验证了该算法的有效性。

The pore structure of semi-coke particle samples with diameters between 2.36 mm and 3.35 mm were analyzed with the Mercury Porosimeter PoreMaster-60, based on which the corresponding fractal dimensions were calculated.

计算结果表明，工业半焦的孔隙结构符合分形特征，在样品颗粒尺寸为2.36～3.35mm的测量条件下，样品的分形维数在2.7982～2.9154之间，其可决系数在0.9157～0.9614之间；样品的分形维数与煤种和半焦热解工艺过程均有一定的关系。

Because change of volume reflected eroding process of watershed and surface change reflected change of topography surface, this model described relationship between watershed topograph and erosion.iv As a quantitative index of wateshed topography, topograph fractal demension can represent surface shape information of watershed topography in the round. Reseach find that watershed model and actual watershed show good fractal character. Topography fractal dimension related with process of development of watershed physiognomy and represented degree of watershed development, v Sediment yield intensity of watershed model reflected erosion characteristic of watershed model in different development phase.

流域模型产沙强度的变化反映了流域模型在不同发育阶段的侵蚀特征，模拟试验研究结果表明：在整个流域模型地貌地貌的发育过程中，其产沙强度呈现由小到大，然后又逐渐减小的总体趋势，流域模型单位降雨产沙率及平均输沙率与地形分维数表现为Gaussian模型关系，其关系形式与结论3中相对体积和表面积之间关系相似，进一步说明了以地形分维数表达地形变化的合理性。

The fractal dimension and tortuosity of trajectory are analyzed. The method of calculating the fractal dimension of trajectory is developed.

分析了孔道轴向分形维数与孔道空间曲折性的关系，建立了关联色谱固定相内孔道轴向分形维数的计算式。

The study showed that the fractal dimensions and porosities were different with variations of the scanning sections, and with different directions of same section for the coal and rock samples.

研究表明，煤岩样不同扫描断面的分形维数和孔隙度不同，同一煤样同一断面不同方向的分形维数与孔隙度亦不相同。

Results show that the formation of inaccessible pores occurs in the initial reaction stage mostly; fractal dimensions decrease continuously in the process of sulfating, and the relationship between the fractal dimension and pore distribution meets the Friesen equation.

结果表明：脱硫剂中不可进入孔隙的形成主要出现在硫化反应的开始阶段；随着硫化反应的进行，脱硫剂孔结构的分形维数不断减小，且孔隙分布与分形维数之间满足Friesen关系方程。

The distribution patterns of Tamarix chinensis population under the environmental gradient of different water table depth were analyzed using two fractal analysis methods-box dimension and information dimension.

利用计盒维数和信息维数两种分形方法分析了黄河三角洲湿地柽柳种群的空间分布特征及其随水深梯度的变化。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。