環詩句譚 https://www.youtube.com/watch?v=jvoSSkp2Njc 巴元弥

環詩句譚 https://www.youtube.com/watch?v=jvoSSkp2Njc
http://www.asyura2.com/16/bd62/msg/590.html
投稿者巴元弥日時 2019 年 5 月 17 日 18:53:21: DZNpVyqRWWM6s　lGKMs5bt

由夣荢筒笛卡兒蕪村卡拉馬助夫

ReImAxes　→+　又土⊰圣言寺⊱土寸　→*　Lov纏結ment

夢現　→+　埿軽跳撫樽　→*　絡愛^√i²雑賦

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lim_k=1⇢∞工_ｋ_t{(u+ρv)∈工_ｋ_+t|∑_t=0⇢∞工_ｋ_t:ρ∊(∞^i²λ+it,(0!-∞^i²)λ+it),h=∞}
➝ˇ*工_ｋ:a family of parallel +t beams➝lim_k=1⇢∞𠂉_ｋ_+t
lim_k=1⇢∞工_ｋ_-t{(u+ρ’v)∈工_ｋ_-t|∑_t=0⇢∞工_ｋ_-t:ρ’∊(∞^i²λ-it,(0!-∞^i²)λ-it),h=∞}
➝工_ｋˇ*:a family of parallel -t beams➝lim_k=1⇢∞𠂉_ｋ_-t → ˇ*工_ｋ+工_ｋˇ*=ゑ_ｋ:a confamily
lim_k=1⇢∞ゑ_ｋ:a confamily of each family of parallel ±t beams
➝ ゑˇ♨:a panfamily → each 𠂉_ｋ_±t has own family of vertical lines in ゑˇ♨
➝lim_k=1⇢∞𠂉_ｋ_±t{𠂉_ｋ_±t↔(∞↭∞)∈ゑˇ♨,(∞↭∞)➝k+i²<∞↭∞ N_k⇔H_k:k+i²<∞←lim_h=2⇢∞)h^i²λ≦Λ_k=2^i²Õ_2k+i²≦lim_h=2⇢∞)(0!-h^i²)λ→∞ ➝工ˇ⦿_ｋ_±t=0↔Λi_k↔Λ_k↔Λ_kj↔0_k
H_k⇔工_ｋ_0:k+i²<(∞^i²λ±i0)←工ˇ⦿_ｋ_0→((0!-∞^i²)λ±i0) ➝(∞←工ˇ⦿_ｋ_0→∞)↔(∞↭∞)↔𝓁’_k↔𠂉_ｋ_0↔λ↔0!
0<∞↭∞<1<∞↭∞<2<∞↭∞<3… k+i²<∞↭∞ 0<…Real axis… 2k+i²_k=∞<2k_k=∞➝2k_∞+i²<2k_∞:imaginary point at infinity
https://www.youtube.com/watch?v=EsbkBHrkAC8
https://www.youtube.com/watch?v=Rl7JW9e7dEc
k_∞+i²<∞←[0_∞→∞ → h=2➝h^i²=2^i² → k_∞+(0!-h^i²)=|k_∞+2^i²|➝个+_∞
Zi_∞=0_∞±ｉ个+_∞:个+_∞tan(2^i²π,2^i²3π) → [-i2^i²-ik_∞<-i∞↭i∞ → Zi_∞=0_∞±i[2^i²_∞]↔±ｉ个+_∞➝介+_ｋ:lim_k=1⇢∞介+_ｋ↔Zi_k=0_k±i[2^i²_∞]
→ ±i2^i²_∞:±point at infinity → 介+_ｋ:truereal parallel imaginary Im axes with ゑ_ｋ
lim_k=1⇢∞介+_ｋ{0_k,t’∈介+_ｋ|Zi_k=0_k±it’,it’∍±i2^i²_∞} → ˇ♨介+:a family of parallel imaginary Im axes
a:lim_t=0⇢∞𠂉_ｋ_±t{𠂉_ｋ_±t↔(∞↭∞)∈ゑˇ♨}:(±t=0⇒±i∞)↔{(∞↭∞)⇒(∞↭∞)}
ˇaゑˇ♨:The euclidian plane|ˇaゑˇ♨+(ˇ*±i2^i²_∞:a family of points at infinity)
b:lim_t=0⇢∞𠂉_ｋ_±t{𠂉_ｋ_±t↔(∞↭∞)∈ゑˇ♨}:(±t=0⇒±i∞)↔{(∞↭∞)⇒(∞←↭→∞)}
ˇbゑˇ♨:The inflation plane|ˇbゑˇ♨+(ˇ*±i2^i²_∞:a family of points at infinity)
c:lim_t=0⇢∞𠂉_ｋ_±t{𠂉_ｋ_±t↔(∞↭∞)∈ゑˇ♨}:(±t=0⇒±i∞)↔{(∞↭∞)⇒0}↔(λ⇒0)↔(ˇcゑˇ♨⇒0) → i0↭±i2^i²_∞
ˇcゑˇ♨:The complex plane⇔C∞ˇ..|ˇcゑˇ♨+(±i2^i²_∞:point at infinity)
lim_k=1⇢∞ˇ*Ｌ_k∋𝓁_k➝𝓁_k↔(i∞↭-i∞)➝(i∞←0_k→-i∞) → 𝓁_k➝Zi_k=0_k±i(∞↭∞)➝Zi_k=0_k±i(∞)
lim_k=1⇢∞k+i²=(k+i²)±i[∞]
→ 0=0±i[∞],1=1±i[∞],2=2±i[∞],3=3±i[∞]...:a family of parallel natural lines
→ z=0±ik_∞:Imaginary axis,z=k_∞±ik_∞:Edge of infinity
→ ±i[∞]>±i(∞)
→ [z=0+ik_∞↭z=k_∞+ik_∞]>ˇ*Ｌ_k<[z=0-ik_∞↭z=k_∞-ik_∞]
→ [z=0+ik_∞↭z=0-ik_∞]>ˇ*Ｌ_k<[z=k_∞+ik_∞↭z=k_∞-ik_∞]
→ ±ik_∞≤i0↭±i2^i²_∞➝-i2^i²_∞↭0_k↭+i2^i²_∞⇔介+_ｋ:truereal imaginary Im axis
→ 仐_ｋ⇔介+_ｋ0!⇔介+_ｋ➝±∫_0_kd0!=0!+it‘➝it‘⇔介+_ｋ➝介+_ｋ0!⇔it‘0!
→ i0↭±i2^i²_∞0!:spinor
↳ ±i2^i²_∞⇢(𝜋2)^i²+i0:gravity
https://www.youtube.com/watch?v=IE9VIZS4CAk
https://www.youtube.com/watch?v=F4wGfr1YWsI
https://www.youtube.com/watch?v=pM-37NhGUIA
https://www.youtube.com/watch?v=aZQOCfT3x74
https://www.youtube.com/watch?v=aMp7IxmKp2Q
0<…Re axis… → k_1+i² k_1➝1,k_1+i²➝0,2k_∞+i²3➝i²3,2k_∞+i²2➝i²2,Õ_2k_∞+i²↔-i²∞➝i²1,2k_∞➝2∞ or 0,
→ 0<1<2<3…∞+i²<∞↔i²∞ k_∞↭2k_∞➝∞↭2∞,
∞+i²<∞←[0_∞→∞<∞⇢2∞]➝[0_∞=2^i²↭2∞]
→ |∞+2^i²|=个+_∞:个+_∞tan(2^i²π,2^i²3π)➝±ｉ个+_∞↔{Zi_∞=0_∞±i|∞+2^i²|}
0<∞←[0_1→∞<1<2<3…<∞⇢2∞]➝[0_1=2^i²↭2∞]=|Õ_-i²∞+2^i²|=|(2∞+i²)+2^i²|=|2∞-2^i²|
→ |Õ_-i²∞+2^i²|=个ｉ_1,lim_k=1⇢∞[0_k↭2∞] → 个ｉ_1>个ｉ_∞↔[0_∞=2^i²↭2∞]↔|∞+2^i²|=个+_∞,±ｉ个+_∞➝+介_∞
Zi_1=0_1±ｉ个ｉ_1:个ｉ_1tan(2^i²π,2^i²3π)➝Zi_1=0_1±i|Õ_-i²∞+2^i²|
→ ±ｉ个ｉ_k➝介ｉ_k → 介ｉ_1>介ｉ_2>介ｉ_3>…>介ｉ_∞=介+_∞
0↭∞:
lim_k=1⇢∞［介ｉ_k{0_k↔Λ_k,t’↔±个ｉ∈介ｉ_k|介ｉ_k↔Zi_k=0_k±it’_(2∞+i²k)+2^i²}］
→ ˇ♨介ｉ:a family of stepwise imaginary Im axes
+介_１↔{Zi_1=0_1±ｉ个+_1}<介ｉ_１↔{Zi_1=0_1±i[Õ_-i²∞+2^i²],2^i²➝2^i²_∞i}>介ｉ_∞=介+_∞
∵介ｉ_∞↔{Zi_∞=0_∞±ｉ个ｉ_∞}=+介_∞↔{Zi_∞=0_∞±ｉ个+_∞}
→ {±i2^i²_∞:±point at infinity,±i2^i²_∞i:±stepwise each point at infinity}∈介ｉ_k
∞↭2∞:
lim_k=1⇢∞[ｉ介_２∞+i²k{0_２∞+i²k↔Λ_２∞+i²k,t’↔±个ｉ∈ｉ介_２∞+i²k|Zi_２∞+i²k=0_２∞+i²k±it’_(２∞+i²k)+2^i²}］
→ ˇ♨介ｉ⇔ｉ介ˇ♨:as mirror
→ 0_２∞+i²k⇔0_k:as mirror
→ 0<∞↭∞<∞<∞↭∞<0↔2∞:imaginal_real 0
→ [0↭2∞]↔[0↭∞↭Õ_-i²∞+2i²↭0]
→ lim_k=1→∞←i²k(ˇ♨ｉ介ｉˇ♨0!)^i²+{0!-(ˇ♨ｉ介ｉˇ♨0!)^i²}=0!
https://www.youtube.com/watch?v=1Vhe6iIaCjA
https://www.youtube.com/watch?v=_bYldqEjOUA
2k_∞ is even➝(2^i²)^k0!:2k_∞↔[0↭0]=0!➝2^i²0!↔[0↭k_∞]➝[0↭k_∞(=2^i²0!)↭0] → lim_k=1⇢∞)(2^i²)^k[0↭0]
C=2rπ➝2k_∞=2rπ → 2^i²2[0↭k_∞]=rπ → 0![0↭k_∞]=rπ → 0![0↭k_∞]π^i²=r:a diameter
exp(x)=e^x➝d/dx has all -i²slope lines 𝓁_ρ’∈ˇ*Ｌ_k
→ t=0:(∞↭∞)↔𝓁’_k:non-slope ⇒ 0 Π_p:all non-trivial zeros of ζ(s) (1- sp^i²)
→ (1- sp^i²) needs non-trivial zeros on [±ik_∞↭i2^i²_∞],
however f can not work out, in addition to 介ｉ_1 it is also extending to ±|iÕ_-i²∞+i2^i²|.
lim_k=1⇢∞[{ゑｋ,±ｉ个_∞𠂉_ｋ_0,±i2^i²|Õ_-i²∞|0!,𝓁_k𝓁’_k,介_ｋλ,仐_ｋ,Q_k,ˇ*Ｌ_k,±(2πi)^i²∫c_kξ`(s)(ξ(s))^i²ds}∈介+_ｋ0!∈介ｉ_k0!]
k=1➝H_1:0<∞←lim_h=2⇢∞h^i²λ≦Λ_1=2^i²Õ_1≦lim_h=2⇢∞((0!-h^i²)λ→∞<1... ; Õ_1=1
k=∞➝H_∞:∞+i²<∞←lim_h=2⇢∞h^i²λ≦Λ_∞=2^i²Õ_2∞+i²≦lim_h=2⇢∞(0!-h^i²)λ→∞<∞…2∞+i²=Õ_-i²∞…
(∞↭∞):0<∞↭∞<1<∞↭∞<2<∞↭∞<3…k+i²<∞↭∞ 0<∞↭∞
⤴ … mirror’s echology …
𝓁’_k⇔𠂉_ｋ⇔0!⇔n^i²+(0!-n^i²)⇔h^i²+(0!-h^i²)⇔(πr²)^i²+{0!-(πr²)^i²}⇔(mc²)^i²+{0!-(mc²)^i²}⇔λ⇔(∞↭∞)
‘ζ(↭)｢= ∞ + ∞ + ∞ ...｣=0!=i²e^(iπ)
‘’ζ(∞) = i²e^(iπ)0!^i²
https://www.youtube.com/watch?v=_AKHOHF6TsU
https://www.youtube.com/watch?v=4yo9Y0WRUqc
https://www.youtube.com/watch?v=02Nk3IsEBjg
介_１∈+介_１∈介ｉ_1∈ˇ♨介ｉ
介ｉ_1↔Zi_1=0_1±i|Õ_-i²∞+2i²|:the longest imaginary Im axis of a family of stepwise imaginary Im axes
Zi_1=0_1±i|Õ_-i²∞+2i²|↔Zi_1=0_1±i|2∞-2i²|
介_１∈+介_１∈介ｉ_1∈ˇ♨介ｉ⋸介ｉ_1:the longest possible
0_1=2^i²
There are trivial zeros on the line 0↭i²∞,
there must be non-trivial zeros on the line 2^i²±i|Õ_-i²∞+2i²|.
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