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Identities

-200.00000   -200 =   5   * -40°F =   9   * -40°C +  160        ~
-102.40000 '      =   4   *-25.6°F=   9   *-25.6Re+  128        ~
-1.0000000   -1   =  i^2  =  e^iπ = cos π + i sinπ
i.00000000   i    = (cosπ +i sinπ)^  0.5  =cos0.5π+ i sin 0.5π
0.00000000   0    =  √0   /   2   = sin 0°= cos90°
0.20787957   ii   =   e   ^ -(0.5 +  2*n) * π     ; n = 0
0.43429448   M    = log e =   1   / ln 10
0.50000000        =  √1   /   2   = sin30°= cos60°
0.56714329   Ω    =   x   =  e^-x ;   x   = W(1)
0.70710678        =  √2   /   2   = sin45°= cos45°
0.86602540        =  √3   /   2   = sin60°= cos30°
1.00000000   1    =  √4   /   2   = sin90°= cos0° = cos2x + sin2x
1.61803398   φ    = (√5   +   1)  /   2   =  √(1  +  √(1  + ...))
2.00000000   2    = Σn=1..∞   1   /   n&  =  √(2  +  √(2  + ...))
2.29558714   P2   = ln(1  +  √2)  +  √2
2.30258509   m    = ln 10 =   1   / log e
2.41421356   δS   =  √2   +   1
2.50662827 '      = √(2π) =   ω   =   T           ; ω * T = 2π  ~
2.61803398        =  φ^2  =   φ   +   1
2.71828182   e    = Σn=0..∞   1   /   n!  = lim n-> ∞ (1 + 1/n)^n
4.07742274 '      = Σn=0..∞   n&  /   n!  = e*3/2 ; n& =(n^2+n)/2
4.45695600 '      *10^-13 = E = λ                 ; E * λ = h * c
6.28318530        = 2π rad=400 grd= 360°
12.5663706 '  =  2πr  = πr^2                  ; r = 2       ~
20.7846096 '      = √(432)=  3a   =  a^2  *  √3/4 ; a = 4√3     ~
113.097335 ' 36π  = 4πr^2 = 4πr^3 /   3   = πhr^2 ; r = 3, h = 4~
169.646003 ' 54π  = 2πr(r +  h)   = πhr^2         ; r = 3, h = 6~
201.061929 ' 64π  = 2πr(r +  h)   = πhr^2 =  4πr2 ; r = 4, h = 4~
216.000000 ' 216  =  6a^2 =  a^3                  ; a = 6       ~
339.292006 ' 108π = 2πr(r +  h)   = πhr^2         ; r = 6, h = 3~

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