Forecasting Total Number of Prime Knot in Knot Theory

Cheng Xiaosheng · Journal of Yantai University · 2011

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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