カオスフラクタル理論4

カオスフラクタル理論1
カオスフラクタル理論2
カオスフラクタル理論3
カオスフラクタル理論4
カオスフラクタル理論5
Edward Lorenz
James A. Yorke
Tien-Yien Li
Chaos
Flactale
Chaosforschung
Théorie du chaos
Flactio
Flaction

Geometria
Progressio
Sequentia
Recurrentia
Relatio
Terminis
Differentia

Geometric Progression
The geometric progressions
Geometric Sequence
The geometric sequences
等比数列
とうひすうれつ
Recurrence Relation
The recurrence relations
漸化式
ぜんかしき
A1
First Term
The first terms
初項
しょこう
An
General Term
The general terms
一般項
いっぱんこう
An-1
General Term
The general terms
いっぱんこう
一般項
An+1
General Term
The general terms
一般項
いっぱんこう
r
Common Ratio
The common ratios
公比
こうひ

Xn+1=aXn(1-Xn)
Xn+1=aXn[1-Xn]
(1/r)(aB/Δr)Xn+1=a(1/r)(aB/Δr)Xn[1-Xn]
An+1=(1/r)(aB/Δr)Xn+1
(An+1)=a(1/r)(aB/Δr)Xn[1-Xn]
An+1=(1/r)(aB/Δr)Xn+1
An=(1/r)(aB/Δr)Xn
(An+1)=a(1/r)(aB/Δr)Xn[1-Xn]
(An+1)=a(An)[1-Xn]
r(Δr/aB)An=Xn
(An+1)=aAn[1-r(Δr/aB)An]
(An+1)=An[a-r(Δr/B)An]
1+rΔt=a
(An+1)=An[1+rΔt-r(Δr/B)An]
(An+1)=An+rΔtAn(1-An/B)
(An+1-An)=rΔtAn(1-An/B)
(An+1-An)/Δt=rAn(1-An/B)
ΔA/Δt=rA(1-A/B)