| 纽结理论中的素纽结总个数的预测 |
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| 引用本文： | 王广富,程晓胜. 纽结理论中的素纽结总个数的预测[J]. 烟台大学学报(自然科学与工程版), 2011, 24(3) |
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| 作者姓名： | 王广富 程晓胜 |
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| 作者单位： | 1. 华东交通大学基础科学学院,江西南昌330013;保山学院数学系,云南保山678000
2. 惠州学院数学系,广东惠州,516007 |
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| 基金项目： | 云南省教育厅科研基金资助项目，保山学院科研基金资助项目 |
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| 摘 要： | 在纽结理论中,素纽结是指在连通和的意义下不能再分解的非平凡纽结.目前,对于探索交叉指数大于等于17的素纽结的总个数,是一个比较困难的问题.本文基于交叉指数大于2小于17的素纽结个数,利用回归模型对交叉数大于等于17的素纽结的个数进行了预测,并用马尔可夫模型对预测结果进行了优化.
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| 关 键 词： | 交叉指数 素纽结 回归预测模型 马尔可夫预测模型 |
Forecasting Total Number of Prime Knot in Knot Theory |
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| WANG Guang-fu,CHENG Xiao-sheng. Forecasting Total Number of Prime Knot in Knot Theory[J]. Journal of Yantai University(Natural Science and Engineering edirion), 2011, 24(3) |
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| Authors: | WANG Guang-fu CHENG Xiao-sheng |
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| Affiliation: | WANG Guang-fu1,2,CHENG Xiao-sheng3(1.School of Basic Science,East China Jiaotong University,Nanchang 330013,China,2.Department of mathematics,Baoshan College,Baoshan 678000,3.Department of Mathematics,Huizhou University,Huizhou 516007,China) |
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| Abstract: | In knot theory,a prime knot is one that is,in the sense of the connected sum,indecomposable.For the present,it is a very difficult problem to find the total number of the prime knots with crossing number not less than 17.By means of the number of the prime knots with crossing number between 3 and 16,and using the regression model,we forecast the total number of the prime knots with the crossing number greater than 16 and finally utilize Markov forecasting model to optimum the result. |
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| Keywords: | crossing number prime knots regression forecasting model Markov forecasting model |
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