f67443df-c3eb-412d-99d3-ecdc37bec8d0 4 4 5 false false 0 decimal

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

r ρ j.lim N.γ ΔX 0.001 : α ρ tan 1 ρ tan (2^+ sqrt + atan : N α tan (2^: K.p 2 N N 1 + / * e π 2 / ρ + (ρ tan *^* : X.0 21 r - (* ρ tan * : j 1 j.lim range X j el X.0 : ψ X.0 ρ tan - atan : c 1 ψ tan ρ tan * + (K.p * e 2 ψ * ρ tan * (^* 1 - : X.c 1 r - 1 r - (2^1 r - c / + sqrt + (ρ tan * : X.0 X.c - abs ΔX > X.0 X.c : break if 51 line for 2 c * X.c * ρ tan + 1 ψ tan (2^+ / ρ 0 atan 1.5 atan lele cases 71 line :

complex solutions are showing up for 0,89<r<1,0 in the domain atan(0)≤ρ≤atan(1) I am guessing (1)that is the reason these values of r takes longer to compute, and (2) that is why those values of r does not 100% match that of the diagram to the left

j.lim 5 :

0.0 x atan j.lim N.γ 0.2 x atan j.lim N.γ 0.4 x atan j.lim N.γ 0.5 x atan j.lim N.γ 0.6 x atan j.lim N.γ 0.7 x atan j.lim N.γ 0.8 x atan j.lim N.γ 0.9 x atan j.lim N.γ 0.95 x atan j.lim N.γ 1.0 x atan j.lim N.γ 10 1 sys 0.0 x atan j.lim N.γ Re 0.2 x atan j.lim N.γ Re 0.4 x atan j.lim N.γ Re 0.5 x atan j.lim N.γ Re 0.6 x atan j.lim N.γ Re 0.7 x atan j.lim N.γ Re 0.8 x atan j.lim N.γ Re 0.9 x atan j.lim N.γ Re 0.95 x atan j.lim N.γ Re 1.0 x atan j.lim N.γ Re 10 1 sys 0.0 x atan j.lim N.γ Im 0.2 x atan j.lim N.γ Im 0.4 x atan j.lim N.γ Im 0.5 x atan j.lim N.γ Im 0.6 x atan j.lim N.γ Im 0.7 x atan j.lim N.γ Im 0.8 x atan j.lim N.γ Im 0.9 x atan j.lim N.γ Im 0.95 x atan j.lim N.γ Im 1.0 x atan j.lim N.γ Im 10 1 sys 0.895 x atan j.lim N.γ Im 0.999 x atan j.lim N.γ Im

0.894 1 atan j.lim N.γ Im 0

0.895 1 atan j.lim N.γ Im 0.5315 -

0.999 1 atan j.lim N.γ Im 0.0476 -

11 atan j.lim N.γ Im 0

0.924 0.95 atan j.lim N.γ Im 0

0.925 0.95 atan j.lim N.γ Im 0.3558 -

0.999 0.95 atan j.lim N.γ Im 0.0442 -

1 0.95 atan j.lim N.γ Im 0

0.999 0.843 atan j.lim N.γ Im 0.0089 -