Function N.γ(r;ρ)

4d433d3f-7bd4-4d6b-aeb7-0c4ec9370f7e 125 4 5 false false 0 decimal

&[DATE] &[TIME] - &[FILENAME]

t.0 1 time :

Function N.γ(r;ρ)

r ρ N.γ α ρ tan 1 ρ tan 2^+ sqrt + atan eval : N α tan 2^eval : K.p 2 N * N 1 + / e π 2 / ρ + (ρ tan *^* eval : X.0 21 r - (* ρ tan * eval : i 14 range X i el X.0 : ψ X.0 ρ tan - atan eval : c.mod ρ tan 1 ψ tan ρ tan * + (K.p * e 2 ψ * ρ tan *^* 1 - Max eval : X.c 1 r - 1 r - (2^0 c.mod 0 ≡ 1 r - c.mod / cases + sqrt + (ρ tan * eval : X.0 X.c - abs 0.001 > X.0 X.c : break if 51 line for 2 c.mod * X.c * ρ tan + 1 ψ tan 2^+ / eval r 01 lele cases ρ 0 atan 1 atan lele cases 61 line :

I have modfied c to get rid of the complex results discussed earlier. The modification to c seems to produce fairly correct results within the domain of this function.

Reference Logarithmic plot

ruhet 0.45 :

rho 30 ° * :

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0.0 x atan N.γ 0.2 x atan N.γ 0.4 x atan N.γ 0.5 x atan N.γ 0.6 x atan N.γ 0.7 x atan N.γ 0.8 x atan N.γ 0.9 x atan N.γ 0.95 x atan N.γ 1.0 x atan N.γ ruhet x atan N.γ 0 ruhet rho N.γ rho tan ruhet rho N.γ 2 2 mat rho tan ruhet rho N.γ rho tan 0.1 2 2 mat 13 1 sys

rho tan 0.58

ruhet rho N.γ 7.45

Linear plot

ruhet 0.45 :

rho 30 ° * :

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0.0 x atan N.γ 0.2 x atan N.γ 0.4 x atan N.γ 0.5 x atan N.γ 0.6 x atan N.γ 0.7 x atan N.γ 0.8 x atan N.γ 0.9 x atan N.γ 0.95 x atan N.γ 1.0 x atan N.γ ruhet x atan N.γ 0 ruhet rho N.γ rho tan ruhet rho N.γ 2 2 mat rho tan ruhet rho N.γ rho tan 0 2 2 mat 13 1 sys

rho tan 0.58

ruhet rho N.γ 7.45

1 time t.0 - 1.077 s *