生长函数

By considering the trait of the artery and anabranch of the Three-Gorges reservoir and analyzing the environmental elements influencing the growth of the algae, we improved on thenutrition dynamic model of the algae"s growth, carried on computer numerical value simulating on the evolvement process of the eutrophication of the Wujiang River, the Hanjiang River and the Three Gorges reservoir by cell mapping algorithm and revealed the dynamics action and mutation forms in the process of the valleys" algae blooms and the relationship between the major elements influencing the algaes growth and the model surge function.

本文结合三峡水库干、支流水体环境特点，通过对影响流域水体藻类生长的环境因素进行分析，改进藻类生长营养动力学模型，并利用胞映射算法对乌江、汉江和库区流域富营养化演化性态进行了计算机数值模拟和仿真分析，揭示流域水华发生过程的动力学行为、混沌性态和流域水质中主要藻类生长控制因子与模型振荡函数间的关系。

It"s considered that the algae blooms control function in the algae"s growth dynamics model is influenced mostly by the water temperature, sun illumination, water flow speed and the concentration of the nutriment in water. A function including the four elements was built. By using cell mapping algorithm and contacting with the practical water condition of the Wujiang river and the Hanjiang river we analyzed and computed the algae blooms in the two areas and found the result was very near to the practical result. And we found that the ascend of water temperature and the descend of the water flow speed will contribute to the growth of algae and the nutriment is the substance basis of the algae blooms but not the only element. It must be under the condition of condign water temperature, enough sun illumination, slow water flow and abundant nutriment that algae blooms may break out unexpectedly.

本文认为藻类生长营养动力学模型中的水华爆发控制函数主要受水温、光照强度、水流速和营养盐浓度的影响，构建了包含水温、光照强度、水流速和营养盐浓度的水华爆发控制函数，通过对乌江、汉江的水华爆发进行胞映射分析，得到的计算结果与实际监测非常吻合，并认为水温升高和水流速下降将有利于藻类生长，营养盐是水华爆发的物质基础，但不是唯一因素，必须在适宜的水温、光照、缓慢的水流和充足的营养盐条件下，藻类才可能出现突发式的"疯长"，即水华爆发。

Since the gamma function grows very quickly, it can easily overflow, and so the logarithm of the gamma function is often more useful than the gamma function itself.

由于伽玛函数的生长速度非常快，很容易溢出，所以伽玛函数的对数通常比更有用伽玛函数本身。

Three common mathematic models are always employed to predict the growth of regional or urban population,including exponential function,inverse hyperbolic function,and logistic function.

预测人口增长的数学模型通常采用3种函数，即指数函数、Logistic函数和双曲函数。3种模型的数学根源都在于二阶Bernoulli式微分方程，它们是不同的生长条件下的Logistic方程的特解。

Characterizing plant phototropism, the algorithm looks the feasible region of integer programming as plant growth environment, and determines the growth probability on different growth points according to the changes of the object function.

该算法从植物的向光性特点出发，将整数规划的可行域作为植物的生长环境，根据各可行解目标函数的变化情况确定植物的生长信息，进而模拟出向光源迅速生长的植物生长动力学模型。

Compared with gompertz growth function, logistic growth function has the inflection point high and the symmetry characteristics.

逻辑生长函数相对于龚珀兹生长函数具有拐点高和对称性的特点，采用逻辑生长函数形式的功效函数法求解混合多目标规划问题具有形式简单、计算量小、符合实际的优点。

By solving the probability equation,generating function and in-degree distribution was deduced.

构建一个加速生长网络，根据主方程建立了概率方程，应用母函数方法求解概率方程，获得了加速生长网络模型的母函数及入度表达式。

Based on a study of the influencing factors to ports throughputs, this paper analyzes the relationship between the factors and the throughputs, used the linear regression prediction models to forecast the throughput of nationwide, so the coastal ports can be achieved, then based on the relations of the whole and the part, we can got the throughput of Tianjin, Dalian and Qingdao port; in addition, this text choused to use three models of trend extrapolation model , and made the detailed introduction to these three model"s principles, e.g. the Logistic growth curve Model, grey system model and exponential smoothing model to Predict the Tianjin, Dalian and Qingdao ports" throughput, compared these results, got three ports throughput in 2007 and 2010 years.

并在此基础上，通过整体与局部的关系，再预测环渤海港口群中的天津、大连和青岛港的货物及集装箱吞吐量；另外，本文还选用了趋势外推法中的三个预测模型，并对这三个模型原理作了详细的介绍，然后引用&逻辑斯谛生长函数&模型预测了天津、大连和青岛港集装箱吞吐量；用指数平滑和灰色系统模型预测这三港的货物及集装箱吞吐量；最后，通过分析比较这些模型的预测结果，得出三港在2007和2010年货物及集装箱吞吐量预测结果。

The growth functions of the plant root systems were used to control the increase of the length of internodes and branching axis and the increase of the branching angles.

生长函数用于控制内节点的长度、分枝根的长度和分枝角的增加。

According to thefunction, the conclusions for L.olgensis and C.lanceolata are asfollows:1CCF＜200,showing growth with constant tree number;2200≤CCF≤300 transition from growth with constant tree number to theself-thinning,in other words,the change of SDI can be described aslinear combination between the growth with constant tree number andthe self-thinning;3CCF＞300,growth in the self-thinning.

建立了CCF与林分密度指数和单位面积林木株数之间的函数关系式，并对长白落叶松和杉木得出：(1)CCF＜200。林分为等株数生长：(2)200≤CCF≤300时。为等株数生长向自然稀疏生长的过渡期，该期间林分密度指数的变化可用等株数生长和自然稀疏生长的线性组合来表达：(3)CCF＞300时，林分为完全的自然稀疏生长

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。