JOURNAL OF NANJING FORESTRY UNIVERSITY ›› 1984, Vol. 8 ›› Issue (03): 113-118.doi: 10.3969/j.jssn.1000-2006.1984.03.017
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Wang Youjing
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Abstract: In this paper, we proveTheorem Let Fn(ω,t) = be a random algebraic eguation, wherea1(ω) (i=0, 1,2,…,n-1) are independent Gaussian random variables with mean o and standard deviation 1, then for n≥2, we havesup[ENF(ω)-2/π1nn=inf [ENF(ω)-2/π1lnn]=1-2/π1n2≈0.558728…
Wang Youjing. SUP[ENF (ω)2/πLn N] 0.6312…AND INF[ENF(ω)-2/πLn N]-The superior limit to the average number of real roots of a random algebraic equation[J]. JOURNAL OF NANJING FORESTRY UNIVERSITY, 1984, 8(03): 113-118.
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URL: http://nldxb.njfu.edu.cn/EN/10.3969/j.jssn.1000-2006.1984.03.017
http://nldxb.njfu.edu.cn/EN/Y1984/V8/I03/113
