指数函数

Then it studies the operational track and development trend of private investment. At the same time,it also applies the exponential function model that is a non - linea...

同时，引入非线性回归模型之一的指数函数模型，综合应用非线性回归模型的线性化方法和线性回归分析方法，使用了计量经济学软件Eviews3.1和统计学软件SPSS11.5，对民间投资与经济发展的&九大关系&进行实证分析。

The critical nitrogen content in heading period was used to calculate the biggest accumulation quantity of nitrogen. The latent distribution index of leaf and stem, which was the variety heredity parameter, were used to distinguish the difference in nitrogen assignment in different varieties. The dynamic content of the nitrogen accumulation before anthesis could be described with a Richards model. The dynamic content of the nitrogen remobilization in leaf with leaf area index could be described with a power model, and the nitrogen absorption of grain from soil with dry weight could be described with a power model. The dynamic content of nitrogen density in stem and spike with physiological development time could be described with a nonlinear model.

模型利用抽穗期植株临界含氮量来表达氮素最大积累量，引入叶片潜在分配指数和茎鞘潜在分配指数2个品种遗传参数来区别不同品种在器官间的氮素分配差异，采用Richards方程来描述大麦花前氮素积累动态变化；采用指数函数方程来描述叶片氮的转移量随叶面积指数的动态变化以及籽粒从土壤中吸收的氮量随干物重的动态变化；采用非线性函数方程描述茎鞘和穗部的氮浓度随生理发育时间的动态变化。

Soil-rate exponential function, and the total C lost from the plant material was determined by difference between the soil amended with root material and unamended controls.

土壤利率指数函数和C共计损失从植物材料测定土壤之间的差异修正以root材料和未经控制。

The algorithm is based on the rule that a numeral can be disassembled into thebinary system.

其中指数函数e的数值计算是较为常用与重要的一种。

To match the boundary conditions, the modified Bessel functions are expanded to the planar wave in the interface. Then the eigenvalue equations of different polarizations are obtained by scalar approximation. At last, the relations between propagation losses and the states of polarizations, the geometric structures of the fiber, the refractive index and thickness of the polymer are calculated.

论文首先给出其等效折射率数学模型，在纤芯和包层中，光场用贝塞尔函数及虚宗量贝塞尔函数的求和表示，在聚合物和金属中用指数函数的求和表示，交界面上采用将虚宗量贝塞尔函数用平面波展开的方法匹配边界条件，然后利用标量近似求出极化D型光纤不同偏振态光场模式的本征值方程，最后通过数值计算得到光纤的传输损耗与抛磨平面和纤芯之间的距离，聚合物粘接材料的折射率和厚度，以及偏振态之间的关系。

The relationships between surface-water depth and distance from water inlet are fitted by a nonlinear least-square method,and then,based on the principle of water balance a linear regression method is proposed for estimating the soil infiltration parameters of border irrigation.

将畦灌地表水深与离畦首的距离之间的关系按指数函数进行非线性最小二乘拟合，并根据水量平衡原理提出了估算土壤入渗参数的线性回归法，避开了难以定值的地表储水形状系数。

Orthogonal polynomial and three parameter exponent function model to treat fatigue crack growth curve.

疲劳裂纹扩展曲线的正交多项式与三参数指数函数拟合法。

Compared with the exponent function, the power function can be more suitable for fitting the change of chemicals concentrations in runoff under unsaturated conditions from the loess slope,as well as,the mass loss of potassium and bromine in runoff,but not for initial phase. The study offered a reference for developing the model of soil nutrient in runoff transport of the loess slope.

同时利用两种类型描述径流养分浓度模型对实测资料进行分析，结果显示与指数函数模型相比较，采用幂函数模型能够较好地模拟黄土坡面非饱和条件下径流溶质浓度变化过程，同时幂函数模型也能够较好地描述径流中钾离子和溴离子的质量变化过程，为进一步完善黄土坡面径流养分迁移模拟模型提供了参考。

Based on Noblesse s Slender Ship Theory, where the variables are separate by expanding exponential function, the wave resistance formulae of a trimaran are obtained.

为快速优化三体船的片体位置，基于Noblesse细长体理论，按照一阶Kochin函数的表达式，在指数函数展开分离变量方法的基础上，本文推导了三体船兴波阻力的计算公式，并根据这些公式实现了三体船兴波阻力的快速计算。

The results of calculations showed that the maximum increments in saltation height and horizontal distance due to the Magnus force were 10.2 and 24.9%, respectively, and that both increments increased with increasing lift-off angle. The maximum increments in saltation height and horizontal distance of sand grains caused by the Saffman force were only 4.6 and 3.7%, respectively. The vertical concentration distribution of Aeolian sand flow follows exponential function distribution whether or not force analysis of saltating sand grains includes Magnus and Saffman force. The effect of Magnus and Saffman force on the vertical concentration distribution of Aeolian sand current makes the rate decrease near sand bed and it is consistent with the effects of Magnus and Saffman force on the saltation height and distance of sand grains.

Magnus力对跃移高度和水平距离产生的最大增量分别可达到10.2%和24.9％，这两个增量均随起跃角度的增加而增大；Saffman力对跃移高度和水平跃移距离产生的最大增量分别为4.6%和3.7%；是否考虑Magnus与Saffman力，风沙流垂向质量百分浓度均服从指数函数分布，Magnus与Saffman力使得风沙流垂向质量百分浓度较不考虑它们的作用呈现出底层的比例较小，上层较大，Magnus与Saffman力对跃移高度的影响基本与其对风沙流垂向质量分布的影响一致，不过Magus力对风沙流垂向质量百分浓度分布影响较大，0-2cm范围内尤为强烈(7.16-10.81)，其他高度层(2-20 cm)的影响相对较小(0-2.95)。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。