(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

Journal of Nanjing Forestry University (Natural Sciences Edition） ›› 1982, Vol. 6 ›› Issue (03) : 204-208.

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南京林业大学学报（自然科学版）
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Journal of Nanjing Forestry University (Natural Sciences Edition） ›› 1982, Vol. 6 ›› Issue (03) : 204-208. DOI: 10.3969/j.jssn.1000-2006.1982.03.018

(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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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. (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[J]. Journal of Nanjing Forestry University (Natural Sciences Edition）. 1982, 6(03): 204-208 https://doi.org/10.3969/j.jssn.1000-2006.1982.03.018
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