JOURNAL OF NANJING FORESTRY UNIVERSITY ›› 1982, Vol. 6 ›› Issue (03): 204-208.doi: 10.3969/j.jssn.1000-2006.1982.03.018

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(4/π)(2~(1/2)-1)≤EN_F(ω)-(2/π)InN≤(4/π)(2-2~(1/2))——LIMIT ON THE AVERAGE NUMBER OF REAL ROOTS OF A RANDOM ALGEBRAIC EQUATION

Wang Youqing (Faculty of Basic Courses) In this paper we proved THEOREM Letbe a random algebraic equation, where ak() () are independent Gaussian random variables with mean o and standard deviation . Then for all N>2, we havewhere ENF() is the average num   

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