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1)  hyperbolic sine function
双曲正弦函数
1.
An attempt to offer a new treatment of end point error in precipitation titration by using hyperbolic sine function is given in this paper.
基于沉淀滴定基本原理,利用双曲正弦函数性质提出了一种处理沉淀滴定终点误差的新方法。
2)  counter-hyperbolic sine function
反双曲正弦函数
1.
According to the conclusion that the smoothness level of a data row can be increased through the transform of the counter-hyperbolic sine function,two methods of autoregression forecasting based on the increasing time series are given.
依据"利用反双曲正弦函数变换提高数据列光滑程度"的结论,给出了两种异方差条件下递增时间序列自回归预测的改善方法。
2.
This paper proves that the smooth degree of a data row can be increased by transforming the counter-hyperbolic sine function.
证明了利用反双曲正弦函数变换能提高数据列的光滑程度,获得结论:设{x_(k)}为递增数据列,x_(1)>0,y(k)=ln(x_(k)+(x_(k)~2+1)~(1/2)),则数据列{y_(k)}比数据列{x_(k)}光滑。
3)  arc-hyperbolic sine function
反双曲正弦函数
1.
A new conclusion is put forward,in which the smooth degree of the data row can be enhanced by means of the arc-hyperbolic sine function transformation.
提出了"利用反双曲正弦函数变换提高数据列光滑程度"的新结论,获得了递增时间序列改善的自回归预测新方法。
2.
This paper show that the transformation using arc-hyperbolic sine function can smooth the data row.
证明了利用反双曲正弦函数变换能提高数据列的光滑程度,给出了改善的自回归预测方法,并且举例加以论证。
4)  hyperbolic sine facely
双曲正弦函数族
5)  transformation of inverse hyperbolic sine function
反双曲正弦函数变换
6)  double-sine function
双正弦函数
1.
The maximum problem of double-sine function with constraints is studied based on genetic algorithm and the convergence for optimizing constrained double-sine function is analyzed,which is affected by those genetic algorithm parameters.
文章采用遗传算法,研究了受限双正弦函数的极大值问题,给出了遗传算法寻优后的结果,并就遗传算法参数对受限双正弦函数寻优的收敛性进行了分析,结果表明遗传算法准确且较快地得到了双正弦函数的极大值。
补充资料:双曲正弦


双曲正弦
sine, hyperbolic

双曲正弦[疵,场,劝浦c;c“。”r,nep6o。。,ee心‘] 见双曲函数(h”erbolic frm ctions).
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
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