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具有张力性质三次参数样条曲线的M-尺度细分
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作者 韩力文 张婷婷 解滨 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2010年第6期907-913,共7页
研究一类具有张力性质的三次样条曲线的可加细问题,得到了其M-尺度加细方程,所得结论涵盖了以往2-尺度加细的结果,并进一步讨论了M-尺度加细层张力参数的求解、选取不同节点时细分面具的计算等问题,得到了相应的细分规则.介绍了3-尺度... 研究一类具有张力性质的三次样条曲线的可加细问题,得到了其M-尺度加细方程,所得结论涵盖了以往2-尺度加细的结果,并进一步讨论了M-尺度加细层张力参数的求解、选取不同节点时细分面具的计算等问题,得到了相应的细分规则.介绍了3-尺度细分的计算过程,并通过实例说明了其逼近优势. 展开更多
关键词 加细方程 节点插入 M-尺度 参数样条 张力性质
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Estimation of surface tension of organic compounds using quantitative structure-property relationship 被引量:2
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作者 戴益民 刘又年 +3 位作者 李浔 曹忠 朱志平 杨道武 《Journal of Central South University》 SCIE EI CAS 2012年第1期93-100,共8页
A novel quantitative structure-property relationship (QSPR) model for estimating the solution surface tension of 92 organic compounds at 20℃ was developed based on newly introduced atom-type topological indices. Th... A novel quantitative structure-property relationship (QSPR) model for estimating the solution surface tension of 92 organic compounds at 20℃ was developed based on newly introduced atom-type topological indices. The data set contained non-polar and polar liquids, and saturated and unsaturated compounds. The regression analysis shows that excellent result is obtained with multiple linear regression. The predictive power of the proposed model was discussed using the leave-one-out (LOO) cross-validated (CV) method. The correlation coefficient (R) and the leave-one-out cross-validation correlation coefficient (Rcv) of multiple linear regression model are 0.991 4 and 0.991 3, respectively. The new model gives the average absolute relative deviation of 1.81% for 92 substances. The result demonstrates that novel topological indices based on the equilibrium electro-negativity of atom and the relative bond length are useful model parameters for QSPR analysis of compounds. 展开更多
关键词 surface tension quantitative structure-property relationship (QSPR) topological indice organic compound
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