Number of primitive elements of field extension GF(pnm)/GF(pn)

0　ＩＮＴＲＯＤＵＣＴＩＯＮＬｅｔＥ/Ｆｄｅｎｏｔｅａｆｉｎｉｔｅｄｉｍｅｎｓｉｏｎａｌｆｉｅｌｄｅｘｔｅｎｓｉｏｎ .Ａｎｅｌｅｍｅｎｔｘ∈ＥｉｓｃａｌｌｅｄａｐｒｉｍｉｔｉｖｅｅｌｅｍｅｎｔｏｆＥ/ＦｉｆＦ(ｘ) =ＥｗｈｅｒｅＦ(ｘ)ｉｓｔｈｅｓｕｂｆｉｅｌｄｇｅｎｅｒａｔｅｄｂｙ {ｘ}∪Ｆ[1] .ＩｔｉｓｗｅｌｌｋｎｏｗｎｔｈａｔｉｆＦｉｓｆｉｎｉｔｅｆｉｅｌｄＧＦ(ｐｎ)ａｎｄ (Ｅ :Ｆ) =ｍ ,ｔｈｅｎＥｉｓｆｉｎｉｔｅｆｉｅｌｄＧＦ(ｐｎｍ) ,ａｎｄＧＦ(ｐｎｍ) /ＧＦ(ｐｎ)ｈａｓｐｒｉｍｉｔｉｖｅｅｌｅｍ…     

A fixed point theorem for a class of β-constrictive operators and its application to the integral equation in L~1(0,∞)

0　ＩＮＴＲＯＤＵＣＴＩＯＮＩｎ 1977,Ｆ .Ｓ .ＤｅＢｌａｓｉ[1] ｄｅｆｉｎｅｄｔｈｅｍｅａｓｕｒｅｏｆｗｅａｋｎｏｎｃｏｍｐａｃｔｎｅｓｓｆｏｒａｎｏｎｅｍｐｔｙｂｏｕｎｄｅｄｓｕｂｓｅｔＧｏｆａＢａｎａｃｈｓｐａｃｅＥａｓｆｏｌｌｏｗ :β(Ｇ) =ｉｎｆ {ｒ>0｜ｔｈｅｒｅｅｘｉｓｔｓａｗｅａｋｌｙｃｏｍｐａｃｔｓｅｔＣｓｕｃｈｔｈａｔＧ Ｃ+Ｂｒ}ｗｈｅｒｅＢｒ ={ｘ ∈Ｅ｜‖ｘ‖ ≤ｒ} ,ａｎｄｄｉｓｃｕｓｓｅｄｉｔｓｐｒｏｐｅｒｔｉｅｓｉｎｄｅｔａｉｌ .Ｉｎ 1981,ｂｙｍｅａｎｓｏｆｍｅａｓｕｒｅｓｏ…     

Fuzzy Semi-continuity of fuzzy number-valued function

1　ＰＲＥＬＩＭＩＮＡＲＩＥＳＩｎｔｈｉｓｓｅｃｔｉｏｎ ,ｗｅｒｅｃａｌｌｓｏｍｅｋｎｏｗｌｅｄｇｅｆｏｒｔｈｅｆｕｚｚｙｎｕｍｂｅｒｓｉｎＲｅｆ.[1].Ｌｅｔｕ :Ｒ1 [0 ,1].ｕｉｓｃａｌｌｅｄａｆｕｚｚｙｎｕｍｂｅｒ ,ｉｆｕｈａｓｔｈｅｐｒｏｐｅｒｔｉｅｓ :(1)ｕｉｓｎｏｒｍａｌｉ.ｅ .ｔｈｅｒｅｅｘｉｓｔｓｘ ∈Ｒ1ｓｕｃｈｔｈａｔｕ(ｘ) =1;(2 )Ｆｏｒａｎｙλ ∈ (0 ,1]ｔｈｅｎｕλ ={ｘ ∈Ｒ1:ｕ(ｘ)≥λ}ｉｓａｃｌｏｓｅｄｉｎｔｅｒｖａｌｄｅｎｏｔｅｄｂｙ [ｕ- λ,ｕ+λ];(3)ｕ0 ={ｘ∈Ｒ1:ｕ(ｘ) >0 }…     

Numerical integral formula of two-dimension based on optimal approximation

1　ＲＥＰＲＯＤＵＣＩＮＧＫＥＲＮＥＬＳＰＡＣＥＡＮＤＩＴＳＲＥＰＲＯＤＵＣＩＮＧＫＥＲＮＥＬＦｏｒｃｏｎｖｅｎｉｅｎｃｅ ,ｗｉｔｈｏｕｔｌｏｓｓｏｆｇｅｎｅｒａｌｉｔｙ ,ｗｅｌｅｔＤ =[0 ,1]× [0 ,1].ＳｕｐｐｏｓｅＨ2 ={ｕ(ｘ ,ｙ) ｜ ｕ ｘ, ｕ ｙａｒｅｃｏｍｐｌｅｔｅｌｙｃｏｎ ｔｉｎｕｏｕｓｆｕｎｃｔｉｏｎｓｉｎＤ , αｕ ｘα1 ｙα2 ∈Ｌ2 (Ｄ) ,α=α1+α2 ,αｉ=0 ,1,2 ,ｉ=1,2 } ,ｆｏｒａｎｙｕ ,ｖ ∈Ｈ2 ,ｗｅｄｅｆｉｎｅｉｎｎｅｒｐｒｏｄｕｃｔ(ｕ ,ｖ) = Ｄ(ｕｖ+ 2 ｕ ｘ ｖ ｘ + 2 ｕ ｙ ｖ…     

Oscillatory and asymptotic behavior of higher order neutral difference equations

0　ＩＮＴＲＯＤＵＣＴＩＯＮＴｈｉｓｐａｐｅｒｉｓｃｏｎｃｅｒｎｅｄｗｉｔｈａｃｌａｓｓｏｆｈｉｇｈｅｒｏｒｄｅｒｎｅｕｔｒａｌｄｉｆｆｅｒｅｎｃｅｅｑｕａｔｉｏｎｏｆｔｈｅｆｏｒｍ　Δｍ(ｘｎ ｐｎｘτ(ｎ) ) ｑｎｘｎ-σ =0 ,ｎ =0 ,1,2 ,…(1)ｗｈｅｒｅΔｉｓｔｈｅｆｏｒｗａｒｄｄｉｆｆｅｒｅｎｃｅｏｐｅｒａｔｏｒｄｅｆｉｎｅｄｂｙΔｘｎ=ｘｎ 1-ｘｎ,ｍｉｓａｐｏｓｉｔｉｖｅｉｎｔｅｇｅｒ ,{ｐｎ}ｉｓａｒｅａｌｓｅ ｑｕｅｎｃｅ ,{ｑｎ}ｉｓａｐｏｓｉｔｉｖｅｒｅａｌｓｅｑｕｅｎｃｅ ,{τ(ｎ) }ｉｓ…     

Nearly best linear estimates of logistic parameters based on complete ordered statistics

0　ＩＮＴＲＯＤＵＣＴＩＯＮＬｅｔＸ1:ｎ ≤Ｘ2 :ｎ ≤…≤Ｘｎ :ｎｂｅｔｈｅｏｒｄｅｒｅｄｓｔａｔｉｓ ｔｉｃｓｏｆａｓａｍｐｌｅｏｆｓｉｚｅｎｆｒｏｍａｌｏｇｉｓｔｉｃｐｏｐｕｌａｔｉｏｎｗｉｔｈｐｄｆｆ(ｘ ;μ ,σ) =1σｅ- (ｘ- μ) /σ{ 1+ｅ(ｘ- μ) /σ} 2 ,ａｎｄｃｄｆＦ(ｘ ;μ ,σ) =1/{ 1+ｅ- (ｘ- μ) /σ} ,　　 -∞ <ｘ <∞ ,-∞ <μ<∞ａｎｄσ >0 .Ｔｈｉｓｄｉｓｔｒｉｂｕｔｉｏｎｉｓｓｙｍｍｅｔｒｉｃａｌｗｉｔｈｌｏｃａｔｉｏｎｐａｒａｍｅｔｅｒμ( =ｅｘｐｅｃｔａｔｉｏｎｏｆＸ)ａｎｄｓｃａ…     

On a stable methods for solving variational inequalities in mechanics

1　ＳＩＧＮＯＲＩＮＩ′ＳＰＲＯＢＬＥＭＴｈｅｐｒｏｂｌｅｍｕｎｄｅｒｓｔｕｄｙｒｅｄｕｃｅｓｔｏｍｉｎｉｍｉｚｉｎｇｑｕａｄｒａｔｉｃｆｕｎｃｔｉｏｎａｌＪ(ｕ) =12 ∫Ω｜ ｕ｜2 ｄΩ- ∫ΩｆｕｄΩ (1)ｏｎｔｈｅｃｌｏｓｅｄｃｏｎｖｅｘｓｅｔＫ ={ｕ∈Ｗ12 (Ω) :γｕ ≥Ψａ .ｅ .ｏｎΓ} ,(2 )ｗｈｅｒｅΩｉｓａｂｏｕｎｄｅｄｄｏｍａｉｎｗｉｔｈｔｈｅＬｉｐｓｃｈｉｔｚｃｏｎｔｉｎｕ ｏｕｓｂｏｕｎｄａｒｙΓ ,ｆ∈Ｌ2 (Ω)ａｎｄΨ∈Ｌ2 (Γ)ａｒｅｇｉｖｅｎｆｕｎｃｔｉｏｎｓａｎｄγｕ∈Ｗ1/22 (Γ)ｉｓ…     

Decentralized algorithm of Kalman filtering

1　ＣＥＮＴＲＡＬＩＺＥＤＫＡＬＭＡＮＦＩＬＴＥＲＥＱＵＡ ＴＩＯＮＡｓｙｓｔｅｍ’ｓｄｙｎａｍｉｃｓａｒｅｄｅｓｃｒｉｂｅｄｂｙｔｈｅｓｔａｔｅｔｒａｎｓｉｔｉｏｎｅｑｕａｔｉｏｎ[1 ]ｘ(ｋ+ 1 ) =Ｆ(ｋ)ｘ(ｋ) +Ｇ(ｋ)ｗ(ｋ) ( 1 )ｗｈｅｒｅｘ(ｋ)ｉｓｔｈｅｓｔａｔｅｖｅｃｔｏｒａｔｔｉｍｅｋ ,Ｆ(ｋ)ｉｓｔｈｅｓｙｓｔｅｍｍｏｄｅｌ,Ｇ(ｋ)ｉｓｔｈｅｎｏｉｓｅｍｏｄｅｌ,ａｎｄｗ(ｋ)ｉｓｔｈｅｉｎｐｕｔｎｏｉｓｅ .Ａｎｕｍｂｅｒｏｆｓｅｎｓｏｒｓａｒｅｃｏｎｓｉｄｅｒｅｄｔｏｔａｋｅｏｂｓｅｒ ｖａｔ…     

On the approximate solution of synoptic flow equation with discontinuous boundary conditions

1　ＳＥＴＴＩＮＧＯＦＴＨＥＰＲＯＢＬＥＭＡＮＤＭＡＩＮＲＥ ＳＵＬＴＣｏｎｓｉｄｅｒｉｎｉｔｉａｌｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍｏｆｓｙｎｏｐｔｉｃｆｌｏｗｅｑｕａｔｉｏｎ ΔΨ ｔ -γΔ2 Ψ Ｒ Ψ ｘ ΔΨ ｙ - Ψ ΔΨ ΔΨ ｘ Ψ ｘ =ｆ,(1)Ψ(ｘ ,ｙ ,ｔ) =ΔΨ(ｘ ,ｙ ,ｔ) =0 ,(ｘ ,ｙ ,ｔ) ∈Ｓ2 ,Ｔ,(2 )Ψ(ｘ ,ｙ ,ｔ) = Ψ ｎ =0 ,(ｘ ,ｙ ,ｔ) ∈Ｓ1,Ｔ,(3)Ψ(ｘ ,ｙ ,0 ) =0 ,(ｘ ,ｙ) ∈Ω. (4)Ｈｅｒｅ ,ｎｉｓｅｘｔｅｒｉｏｒｎｏｒｍａｌΓ1,ｔｈｅｐａｒａｍｅｔｅｒｓＲａｎｄγａｒｅｐ…     

Vibration control in reticulated shells using viscous dampers system

0　ＩＮＴＲＯＤＵＣＴＩＯＮＡｓａｎａｔｕｒａｌｐｈｅｎｏｍｅｎｏｎ ,ｅａｒｔｈｑｕａｋｅａｌｗａｙｓｃａｕｓｅｓｇｒｅａｔｄａｍａｇｅｔｏｂｕｉｌｄｉｎｇｓ .Ｓｏｍｅｄａｍｐｅｒｓａｒｅｉｎｓｔａｌｌｅｄｏｎｔｈｅｓｔｒｕｃｔｕｒｅｓｏｔｈａｔｔｈｅｄａｍｐｅｒｓａｎｄｔｈｅｓｔｒｕｃｔｕｒｅｒｅｓｉｓｔｔｈｅｓｅｉｓｍｉｃｍｏｔｉｏｎｔｏｇｅｔｈｅｒ ,ａｎｄｔｈｉｓｉｓｃａｌｌｅｄｖｉｂｒａｔｉｏｎｃｏｎｔｒｏｌ.Ｆｏｒｄａｍｐｅｒｓｃａｎａｂｓｏｒｂｓｅｉｓｍｉｃｅｎｅｒｇｙ ,ｔｈｅｄａｍ …     

Application of ″Black Box″ to fault diagnosis of rotating machine

1　ＳＹＮＯＰＳＩＳＴＯＳＴＡＴＥＭＯＮＩＴＯＲＩＮＧＡＮＤＦＡＵＬＴＤＩＡＧＮＯＳＩＳＤＥＶＩＣＥＯＦＨＯＭＯ ＡＸＬＥＣＡＴＡＬＹＳＩＳＣＨＩＥＦＢＬＯＷＥＲＧＲＯＵＰＴｈｉｓｐａｐｅｒｆｏｃｕｓｅｓｏｎｒｅｃａｌｌｉｎｇａｃｃｉｄｅｎｔｓｙｓｔｅｍ .Ｂｅ ｃａｕｓｅｉｔｉｓａｐａｒｔｏｆｔｈｅｗｈｏｌｅｄｅｖｉｃｅ ,ｗｅｇｉｖｅａｂｒｉｅｆｉｎ ｔｒｏｄｕｃｔｉｏｎｔｏｔｈｅｄｅｖｉｃｅｆｉｒｓｔ .ＴｈｅｓａｉｄｄｅｖｉｃｅｉｓｓｈｏｗｎａｓＦｉｇ .1ｗｈｅｒｅｔｈｅｔｈｉｃｋｆｒａｍｅｓｓｈ…     

Complete solution of the diophantine equation A2 x4 - By2 = 1and some related problems

ＩＮＴＲＯＤＵＣＴＩＯＮＬｅｔＮｂｅｔｈｅｓｅｔｏｆｐｏｓｉｔｉｖｅｉｎｔｅｇｅｒｓ ,ａｎｄｌｅｔＡ ,Ｂ∈Ｎｗｉｔｈｇｃｄ (Ａ ,Ｂ) =1ａｎｄＢｓｑｕａｒｅｆｒｅｅ .Ｔｈｅｄｉｏｐｈａｎ ｔｉｎｅｅｑｕａｔｉｏｎＡ2 ｘ4 -Ｂｙ2 - 1,ｘ ,ｙ∈Ｎ ( 1)ｉｓａｋｉｎｄｏｆｂａｓｉｃａｎｄｉｍｐｏｒｔａｎｔｑｕａｒｔｉｃＤｉｏｐｈａｎｔｉｎｅｅｑｕａ ｔｉｏｎｓ[1] .Ｉｎ 1997,Ｃｏｈｎ[2 ] ａｎｄＳｕｎａｎｄＹｕａｎ[3] ｐｒｏｖｅｄｒｅｓｐｅｃｔｉｖｅｌｙｔｈａｔｉｆＡ =1ｔｈｅｎｔｈｅｏｎｌｙｐｏｓｓｉｂｌ…     

Existence of supremum and infimum in E~-and relations of (M) integral and (G) integral

0　ＩＮＴＲＯＤＵＣＴＩＯＮＩｎ [1],ＧｏｅｔｓｃｈｅｌａｎｄＶｏｘｍａｎｄｅｆｉｎｅｄ (Ｇ) ｉｎｔｅ ｇｒａｌｏｆｆｕｚｚｙｎｕｍｂｅｒｖａｌｕｅｄｆｕｎｃｔｉｏｎｆ:[ｃ ,ｄ]→Ｆ .ＩｎｆａｃｔＦｉｓＬ(Ｒ)ｉｎ [2 ].Ｉｎ [2 ]Ｍａｔｌｏｋａｄｅｆｉｎｅｄ (Ｍ)ｉｎ ｔｅｇｒａｌａｎｄｄｉｓｃｕｓｓｅｄｓｏｍｅｐｒｏｐｅｒｔｉｅｓａｂｏｕｔｉｔ ,ｔｈｅｄｉｓｃｕｓ ｓｉｏｎｉｎ [2 ]ｗａｓｂａｓｅｄｏｎｔｈｅｃｏｎｃｌｕｓｉｏｎｔｈａｔｉｆ {Ｆ(ｔ) ,ｔ∈ [ａ ,ｂ]}ｉｓｏｒｄｅｒｌｙｂｏｕｎｄｅｄｔｈｅ…     

A class of symmetric wavelets and regularity analysis

0　ＩＮＴＲＯＤＵＣＴＩＯＮＷｅｈａｖｅｋｎｏｗｎｔｈａｔａｓｃａｌｉｎｇｆｕｎｃｔｉｏｎ φ(ｘ) ∈Ｌ2 (Ｒ) ,ｗｈｉｃｈｇｅｎｅｒａｔｅｓａｍｕｌｔｉｒｅｓｏｌｕｔｉｏｎａｎａｌｙｓｉｓ ,ｗｉｌｌｓａｔｉｓｆｙｔｈｅｒｅｆｉｎｅｍｅｎｔｅｑｕａｔｉｏｎ[1]φ(ｘ) =∑ｋ∈Ｚｈｋφ(2ｘ -ｋ) (ｈｅｒｅＺｉｓａｎｉｎｔｅｇｅｒｓｅｔ.)(1)Ａｎｄａｗａｖｅｌｅｔｆｕｎｃｔｉｏｎψ(ｘ) ∈Ｌ2 (Ｒ)ｃａｎｂｅｏｂｔａｉｎｅｄｆｒｏｍｔｈｅｆｏｒｍｕｌａ (2 )ψ(ｘ) =∑ｋ∈Ｚ(- 1) ｋ ｈ1-ｋφ(2ｘ -ｋ) . (2 )Ｉｆｔ…     

Focus projection of the parabolic radon transform and multiple waves separator, elimination

1　ＩＮＴＲＯＤＵＣＴＩＯＮＯｎｃｏｍｍｏｎ ｍｉｄｐｏｉｎｔ (ＣＭＰ)ａｎｄｃｏｍｍｏｎ ｓｈｏｔｐｏｉｎｔ (ＣＳＰ)ｇａｔｈｅｒｓ,ｓｅｉｓｍｉｃｔｉｍｅ ｄｉｓｔａｎｃｅｃｕｒｖｅｉｎ (ｘ,ｔ)ｄｏｍａｉｎｃａｎｂｅａｐｐｒｏｘｉｍａｔｅｄａｓｈｙｐｅｒｂｏ     

Limit cycles in a generalized Gause-type predator-prey system

1　ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｑｕａｌｉｔａｔｉｖｅｂｅｈａｖｉｏｒｏｆｓｏｌｕｔｉｏｎｓｏｆｔｈｅＧａｕｓｅ ｔｙｐｅｂｉｏｍａｔｈｅｍａｔｉｃａｌｍｏｄｅｌｄｘｄｔ=φ(ｘ) (Ｆ(ｘ) -π(ｙ) )ｄｙｄｔ=ρ(ｙ) (ψ(ｘ) ξ(ｙ) )(1 )ｗａｓｉｎｖｅｓｔｉｇａｔｅｄｉｎＲｅｆ.[1 ],ｗｈｅｒｅｔｈｅｅｃｏｌｏｇｉｃａｌｍｅａｎｉｎｇｏｆｔｈｉｓｍｏｄｅｌｗａｓｄｉｓｃｕｓｓｅｄ .Ｓｏｍｅｓｐｅｃｉａｌｃａｓｅｓｏｆｓｙｓｔｅｍ (1 )ｈａｖｅｂｅｅｎｓｔｕｄｉｅｄｂｙｍａｎｙａｕｔｈｏｒｓ[2 5] .Ｏｕｒ…     

Iterative method of solving Cauchy problem with reproducing kernel for nonlinear hyperbolic equations

1　ＲＥＰＲＯＤＵＣＩＮＧＫＥＲＮＥＬＳＰＡＣＥＡｓｓｕｍｅｗ22 [0 ,+∞ ) ={ｕ(ｘ) ｜ｕ(ｘ) ,ｕ′(ｘ)ａｒｅａｂｓｏｌｕｔｅｌｙｃｏｎｔｉｎｕｏｕｓｒｅａｌｆｕｎｃｔｉｏｎｓａｎｄｕ″(ｘ) ∈Ｌ2 [0 ,+∞ ) } ,ｈｅｒｅ ,ｔｈｅｄｅｆｉｎｉｔｉｏｎｏｆｉｎｎｅｒｐｒｏｄｕｃｔｉｓａｓｆｏｌ ｌｏｗｓ :　　 (ｕ ,ｖ) 2 =∫∞0(ｕ(ｘ)ｖ(ｘ) + 2ｕ′(ｘ)ｖ′(ｘ) +ｕ″(ｘ)ｖ″(ｘ) )ｄｘ , ｕ ,ｖ∈Ｗ22 [0 ,+∞ ) (1)Ｓｅｔｔｉｎｇｎｏｒｍ‖·‖ =(· ,·) 1/2 ,ｉｔｉｓｅａｓｙｔｏｐｒｏｖｅｔｈａｔＥｑ .(1)ｒｅ…     

A quasi-physical algorithm for solving the linear separation problem in n-dimensional space

1　Ｔｈｅｍａｔｈｅｍａｔｉｃａｌｆｏｒｍｕｌａｔｉｏｎｏｆｔｈｅｐｒｏ ｂｌｅｍＤｅｆｉｎｉｔｉｏｎ　ＦｏｒｔｗｏａｒｂｉｔｒａｒｉｌｙｇｉｖｅｎｆｉｎｉｔｅｐｏｉｎｔｓｅｔｓＡ ={Ｘ1,Ｘ2 ,… ,Ｘα} ａｎｄＢ ={Ｘα 1,Ｘα 2 ,Ｘα β}ｉｎｔｈｅｎ ｄｉｍｅｎｓｉｏｎａｌＥｕ ｃｌｉｄｅａｎｓｐａｃｅＲｎ,ｉｆｔｈｅｒｅｅｘｉｓｔｓａｎ (ｎ - 1 ) ｄｉ ｍｅｎｓｉｏｎａｌｈｙｐｅｒｐｌａｎｅＷ·Ｘ =ｔｓｕｃｈｔｈａｔ ｉ∈ [1 ,α],Ｗ·Ｘｉ≥ｔ; ｊ∈ [α 1 ,α β],Ｗ·Ｘｊ<ｔ (1 )ｈｏｌｄｓ ,ｔ…     

English BNP identification based on corpus-trained decision tree

0　ＩＮＴＲＯＤＵＣＴＩＯＮＦｉｎｄｉｎｇＥｎｇｌｉｓｈＢａｓｅＮｏｕｎＰｈｒａｓｅ (ＢＮＰ)ｉｓａｎｉｍｐｏｒｔａｎｔｒｅｓｅａｒｃｈｉｓｓｕｅｉｎｎａｔｕｒａｌｌａｎｇｕａｇｅｐｒｏｃｅｓｓ ｉｎｇ .ＩｔｓｒｅｓｏｌｕｔｉｏｎｗｉｌｌｐａｖｅｔｈｅｗａｙｆｏｒｈｉｇｈｑｕａｌｉｔｙＥｎｇｌｉｓｈＣｈｉｎｅｓｅｍａｃｈｉｎｅｔｒａｎｓｌａｔｉｏｎ .Ａｎｄ ,ａｃｃｕｒａｔｅｉｄｅｎｔｉｆｉｃａｔｉｏｎｏｆＢＮＰｉｓａｌｓｏｃｒｕｃｉａｌｔｏｉｎｆｏｒｍａｔｉｏｎｒｅ ｔｒｉｅｖａｌｓｙｓｔｅｍ ,ｉｎ…     

Notice Soliciting Subscription to“Journal of Central South University of Technology(English Edition)”

ＣｅｎｔｒａｌＳｏｕｔｈＵｎｉｖｅｒｓｉｔｙ (ＣＳＵ)ｉｓｏｎｅｏｆＣｈｉｎａ′ｓｋｅｙｕｎｉｖｅｒｓｉｔｉｅｓ ,ｗｈｉｃｈｉｓａｆｆｉｌｉａｔｅｄｗｉｔｈｔｈｅＭｉｎ ｉｓｔｒｙｏｆＥｄｕｃａｔｉｏｎ .“ＪｏｕｒｎａｌｏｆＣｅｎｔｒａｌＳｏｕｔｈＵｎｉｖｅｒｓｉｔｙｏｆＴｅｃｈｎｏｌｏｇｙ (ＥｎｇｌｉｓｈＥｄｉｔｉｏｎ)” (ＩＳＳＮ10 0 5 9784 ,ＣＯＤＥＮＪＣＳＴＦＴ ,Ｑｕａｒｔｅｒｌｙ)ｉｓｓｕｐｐｏｒｔｅｄｂｙＣＳＵ .Ｐｒｏｆ.ＣｈｅｎＧｕｏｄａ ,ＡｃａｄｅｍｉｃｉａｎｏｆＣｈｉｎｅｓｅＡｃａ…