指数曲线法

本文在对兰许高速公路试验路段长达1年的变形观测的基础上，对双曲线法、指数曲线法、Asaoka法预测结果的对比发现，双曲线更适合于该地区沉降特性。

This article in to experiments about 1 year in the stable observation foundation , to the hyperbolic long-base method , the exponential curve law , the Asaoka law forecast the result the contrast discovered that the hyperbolic curve suits in this area 's settlement qualities .

通过比较说明：灰色预测精度最高，指数曲线法次之，对数曲线法最低。

Through the compare we can draw a conclusion that the gray forecasting precision is the best , the exponential curve method is the second best , and the logarithmic curve method is the worst .

本论文根据试验现场实测沉降数据，分别利用双曲线法、指数曲线法、BP神经网络法和灰色系统理论法进行建模，对注浆后桩基的长期沉降趋势和最终沉降值进行预测。

This paper will forecast the long-term developing law of settlement and the final settlement by hyperbola , exponent curve , BP neural network and grey theory method based on measured data .

同时，采用灰色系统法得到的最终沉降量预测值比双曲线法、指数曲线法预侧值大，说明该方法的预测值是偏于安全的，表明对工后沉降的要求更为严格。

Meanwhile , by using grey system method of the final settlement quantity prediction obtained than hyperbolic method , exponential curve method predicted value big , which shows that this method is the prediction that tends to safety , showed the requirements of settlement after more strict .

实例分析表明，改进指数曲线法具有较好的稳定性，而对三点的选取尽可能选在拐点之后。

Therefore , the exponential curve method has been improved by introducing the selecting points thought of three-point into exponential curve model , Analysis of engineering examples shows that the improved exponential curve method has good stability and requirement is after the inflection point to three-point selecting .

缓冲溶液pH值的快速确定法&指数曲线图示法

A Speedy Way to Determine the PH Value of Cushioning Liquid & The Index Curve Drawing

升降频采用直线升降法、指数曲线升降法或抛物线升降法。

The frequency-rising and frequency-falling use linear method , exponential curve method and parabolic curve method .

该文指出了GM（1，1）模型用于预测的不足之处，采用指数曲线拟合最小二乘法补充了GM（1，1）模型的不足，建立了指数模型，实际应用精度较好。

The defects of GM ( 1,1 ) model have been pointed out in this paper . And it has been improved by using least square approxi-mation to fit exponential curve . The exponential model is established , and the accuracy in practical application is quite high .