5aa24ae8-e5bf-4452-97e6-1d849885d77b 24 4 5 false false 0 decimal

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

n 3 :

δ 0.1 :

n κ b ω H B b 1 n range el vectorize 11 line : κ 2^ω n^1 - (n 1 - 2 / k -^B 2 k * el * ω 2 k * 1 -^* (k 1 n 1 - 2 / sum - (2^1 - (n 1 - 2 / k -^B 2 k * 1 + el * ω 2 k *^* (k 0 n 1 - 2 / sum (2^+ / 21 line :

n κ b ω H.1 tmp n κ b ω H (ω diff : tmp numden 1 el 21 line :

Smath failed to calculate correct derivative here ... n κ b ω H.1 2 ω ω 2^b 2 el - (* ω 3 ω * b 2 el - ω diff + (* b 2 el - (* ω b 3 el ω diff ω * 2 b 3 el * + (* b 1 el - ω diff + (b 3 el ω 2^* b 1 el - (* + (* κ 2^* -

Trying maple() n κ b ω H.1 tmp n κ b ω H (ω diff : tmp numden 1 el simplify maple 21 line :

(1) The maple's result is correct, but useless for further symbolic expressions ... n κ b ω H.1 2 ω * ω 2^3 ω 2^* 4 b 2 el * - 2 b 3 el 2^* + (* b 2 el 2^+ 2 b 3 el * b 1 el * - (* κ 2^* -

eq s 2 n * 2 + 1 matrix : s 1 el 10 0.05 δ *^eval κ 2 b 1 el * κ - / - numden 1 el : s 2 el n κ b d H 2 κ b 1 el / - (2^- numden 1 el : s 3 el n κ b 1 H 12 / - numden 1 el : s 4 el n κ b r H κ b 1 el / 1 - (2^- numden 1 el : m 2 n * 1 - : j 1 n 1 - 2 / (range s m el n κ b Ω 2 j * 1 - el H 2 κ b 1 el / - (2^- numden 1 el : m m 1 + : 21 line for j 1 n 1 - 2 / (range s m el n κ b Ω 2 j * el H κ b 1 el / (2^- numden 1 el : m m 1 + : 21 line for j 1 n 1 - (range s m el n κ b Ω j el H.1 : m m 1 + : 21 line for s 101 line :

Symbolic engine of Smath puts "emply" instead of correct formula from maple(), see (1) eq 10115794542599 κ - 2 b 1 el * + (* 10000000000000 κ * - κ 2^b 1 el 2^* κ - 2 b 1 el * + (2^d 2^d 2^b 2 el - (2^* b 3 el d 2^* b 1 el - (2^+ (* - 1 b 2 el - (2^b 1 el - b 3 el + (2^+ 2 κ 2^* - (- κ 2^b 1 el 2^* κ b 1 el - (2^r 2^r 2^b 2 el - (2^* b 3 el r 2^* b 1 el - (2^+ (* - κ 2^b 1 el 2^* κ - 2 b 1 el * + (2^Ω 1 el 2^Ω 1 el 2^b 2 el - (2^* b 3 el Ω 1 el 2^* b 1 el - (2^+ (* - κ 2^Ω 2 el 2^* Ω 2 el 2^b 2 el - (2^b 3 el b 3 el Ω 2 el 2^* - 2 b 1 el * + (* - (* - empty empty 81 mat