i have successfully made the principally non repeating part of the planes local minima equaivalent to its local maxima within 3 multiples of 10 ^6y

JeanneDArcAlter

JeanneDArcAlter

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{(x, y) element R^2 : (x^y/π + 1/2 not element Z and x!=0 and tan(x^y)!=0 and y element Z and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and x!=0 and cos(x^y)>=1 and y element Z and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and tan(x^y)!=0 and y>=1 and y element Z and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and cos(x^y)>=1 and y>=1 and y element Z and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and x!=0 and tan(x^y)>=0 and cos(x^y)>0 and y element Z) or (x^y/π + 1/2 not element Z and x!=0 and tan(x^y)>0 and y element Z) or (x^y/π + 1/2 not element Z and tan(x^y)>=0 and cos(x^y)>0 and y>=1 and y element Z) or (x^y/π + 1/2 not element Z and tan(x^y)>0 and y>=1 and y element Z) or (x^y/π + 1/2 not element Z and x>=0 and tan(x^y)!=0 and y>0 and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and x>=0 and cos(x^y)>=1 and y>0 and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and x>0 and tan(x^y)!=0 and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and x>0 and cos(x^y)>=1 and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and x>=0 and tan(x^y)>=0 and cos(x^y)>0 and y>0) or (x^y/π + 1/2 not element Z and x>=0 and tan(x^y)>0 and y>0) or (x^y/π + 1/2 not element Z and x>0 and tan(x^y)>=0 and cos(x^y)>0) or (x^y/π + 1/2 not element Z and x>0 and tan(x^y)>0)}
 
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{(x, y) element R^2 : (x^y/π + 1/2 not element Z and x!=0 and tan(x^y)!=0 and y element Z and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and x!=0 and cos(x^y)>=1 and y element Z and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and tan(x^y)!=0 and y>=1 and y element Z and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and cos(x^y)>=1 and y>=1 and y element Z and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and x!=0 and tan(x^y)>=0 and cos(x^y)>0 and y element Z) or (x^y/π + 1/2 not element Z and x!=0 and tan(x^y)>0 and y element Z) or (x^y/π + 1/2 not element Z and tan(x^y)>=0 and cos(x^y)>0 and y>=1 and y element Z) or (x^y/π + 1/2 not element Z and tan(x^y)>0 and y>=1 and y element Z) or (x^y/π + 1/2 not element Z and x>=0 and tan(x^y)!=0 and y>0 and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and x>=0 and cos(x^y)>=1 and y>0 and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and x>0 and tan(x^y)!=0 and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and x>0 and cos(x^y)>=1 and cos(x^y) element Z) or (x^y/π + 1/2 not element Z and x>=0 and tan(x^y)>=0 and cos(x^y)>0 and y>0) or (x^y/π + 1/2 not element Z and x>=0 and tan(x^y)>0 and y>0) or (x^y/π + 1/2 not element Z and x>0 and tan(x^y)>=0 and cos(x^y)>0) or (x^y/π + 1/2 not element Z and x>0 and tan(x^y)>0)}
1.×10^-13 tan^cos(x^y)(x^y) = 1.×10^-13 (π/2)^(i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x^y)^(-2 s) Γ(s))/Γ(1/2 - s) ds) ( integral_0^∞ (-1 + t^((2 x^y)/π))/(-1 + t^2) dt)^(-i/(2 sqrt(π)) integral_(-i ∞ + γ)^(i ∞ + γ) (4^s (x^y)^(-2 s) Γ(s))/Γ(1/2 - s) ds) for (0<γ<1/2 and x^y>0 and 0<Re(x^y)<π/2)
 
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Screenshot 20250122 033001 1

for (0<y<1/2 and x^y>0 and 0<Re(x^y)<π/2)
 
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nice g
 
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