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egisatoshi/maclaurin-expansion.md

Last active April 14, 2016 06:23
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MacLaurin expansion on shell
Raw
maclaurin-expansion.md 
% egison -T -e '(maclaurin-expansion (cos x) x)'                                        
1
0
(/ (* -1 x^2) 2)
0
(/ x^4 24)
0
(/ (* -1 x^6) 720)
0
(/ x^8 40320)
0
(/ (* -1 x^10) 3628800)
0
(/ x^12 479001600)
^C
% egison -T -e '(maclaurin-expansion (* i (sin x)) x)'
0
(* i x)
0
(/ (* -1 i x^3) 6)
0
(/ (* i x^5) 120)
0
(/ (* -1 i x^7) 5040)
0
(/ (* i x^9) 362880)
0
(/ (* -1 i x^11) 39916800)
0
^C
% egison -T -e '(maclaurin-expansion (** e (* i x)) x)'
1
(* i x)
(/ (* -1 x^2) 2)
(/ (* -1 i x^3) 6)
(/ x^4 24)
(/ (* i x^5) 120)
(/ (* -1 x^6) 720)
(/ (* -1 i x^7) 5040)
(/ x^8 40320)
(/ (* i x^9) 362880)
(/ (* -1 x^10) 3628800)
(/ (* -1 i x^11) 39916800)
(/ x^12 479001600)
^C
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