2466
2014-12-06 02:52:42
44
참고하자면 마지막 짤 나비함수는 대충 이렇습니다. 스압주의.
x(t) = ((-13/7 sin(8/5-10 t)-161/20 sin(8/5-5 t)-7/3 sin(8/5-4 t)-118 sin(8/5-t)+406/11 sin(2 t+8/5)+17/5 sin(3 t+8/5)+2/5 sin(6 t+8/5)+3/4 sin(7 t+8/5)+1/12 sin(8 t+32/7)+4 sin(9 t+14/3)+247) θ(31 π-t) θ(t-27 π)+(-10/11 sin(3/2-10 t)-11/4 sin(3/2-8 t)-82/3 sin(8/5-2 t)+122 sin(t+8/5)+48/7 sin(3 t+14/3)+7/8 sin(4 t+5/3)+31/3 sin(5 t+8/5)+31/8 sin(6 t+8/5)+6/7 sin(7 t+8/5)+2/3 sin(9 t+3/2)+3677/6) θ(27 π-t) θ(t-23 π)+(-1/2 sin(6/7-20 t)-2/3 sin(4/3-18 t)-2/3 sin(4/5-15 t)-2/3 sin(2/3-13 t)-2/5 sin(4/5-12 t)-27/4 sin(1/2-7 t)-29/4 sin(6/5-2 t)+335/7 sin(t+8/3)+36/5 sin(3 t+5/3)+13/2 sin(4 t+7/4)+47/8 sin(5 t+1/4)+76/11 sin(6 t+13/4)+4/3 sin(8 t+5/3)+2 sin(9 t+18/5)+9/5 sin(10 t+6/7)+3/2 sin(11 t+4)+1/5 sin(14 t+18/5)+4/5 sin(16 t+5/4)+2/3 sin(17 t+21/5)+2/3 sin(19 t+11/6)+1/4 sin(21 t+11/7)+1/3 sin(22 t+1/2)+861/2) θ(23 π-t) θ(t-19 π)+(-9/5 sin(1-19 t)-4/5 sin(1-18 t)-2 sin(2/3-17 t)-8/3 sin(4/3-14 t)+5895/7 sin(t+13/4)+687/8 sin(2 t+1/4)+398/5 sin(3 t+1/3)+206/7 sin(4 t+11/3)+165/2 sin(5 t+1/2)+255/8 sin(6 t+2/3)+128/5 sin(7 t+35/9)+21/2 sin(8 t+33/8)+29/5 sin(9 t+12/11)+41/4 sin(10 t+17/4)+5 sin(11 t+7/5)+23/4 sin(12 t+4/3)+19/3 sin(13 t+14/3)+19/3 sin(15 t+7/4)+3/2 sin(16 t+9/5)+3/4 sin(20 t+2/3)+2164/5) θ(19 π-t) θ(t-15 π)+(-43/3 sin(3/4-11 t)-48/5 sin(8/7-10 t)+631/3 sin(t+14/3)+203/4 sin(2 t+8/3)+473/4 sin(3 t+3/2)+139/4 sin(4 t+1)+237/5 sin(5 t+32/7)+535/6 sin(6 t+11/6)+1863/19 sin(7 t+14/3)+229/5 sin(8 t+2/3)+93/4 sin(9 t+5/4)+163/9 sin(12 t+2/5)+133/5 sin(13 t+1)+18 sin(14 t+5/3)+41/8 sin(15 t+17/9)+sin(16 t+8/5)-205/3) θ(15 π-t) θ(t-11 π)+(-46/3 sin(4/3-12 t)-113/4 sin(2/3-2 t)-297/2 sin(3/5-t)+223/3 sin(3 t+1/4)+167/2 sin(4 t+34/11)+851/10 sin(5 t+22/5)+557/6 sin(6 t+11/6)+44/3 sin(7 t+19/10)+114/5 sin(8 t+9/4)+133/5 sin(9 t+7/3)+80/3 sin(10 t+19/6)+16 sin(11 t+17/4)+37/3 sin(13 t+7/8)+16/3 sin(14 t+2)+33/8 sin(15 t+5/6)+13/2 sin(16 t+7/4)+373/3) θ(11 π-t) θ(t-7 π)+(-35/3 sin(3/5-14 t)-414/5 sin(1/13-6 t)-129/4 sin(1/4-5 t)-26 sin(7/5-4 t)+647/5 sin(t+14/5)+279/5 sin(2 t+1/7)+1191/10 sin(3 t+17/7)+77/2 sin(7 t+21/11)+152/3 sin(8 t+29/10)+39 sin(9 t+4/3)+53/2 sin(10 t+3)+25/4 sin(11 t+2)+40/3 sin(12 t+5/4)+71/4 sin(13 t+40/13)+261/20 sin(15 t+3/2)+16/3 sin(16 t+4/5)+2951/4) θ(7 π-t) θ(t-3 π)+(-52/5 sin(5/6-9 t)-578/5 sin(6/7-6 t)-721/18 sin(4/5-3 t)+29/4 sin(10 t)+1690/7 sin(t+5/3)+95 sin(2 t+9/5)+38 sin(4 t+15/4)+92 sin(5 t+7/4)+283/4 sin(7 t+2)+161/3 sin(8 t+10/3)+47/4 sin(11 t+8/3)+114/5 sin(12 t+23/8)+41/3 sin(13 t+7/2)+14/3 sin(14 t+5/4)+58/3 sin(15 t+1/2)+41/4 sin(16 t+17/4)+2908/3) θ(3 π-t) θ(t+π)) θ(sqrt(sgn(sin(t/2))))
y(t) = ((-5/4 sin(11/7-10 t)-19/3 sin(8/5-6 t)-1321/20 sin(8/5-2 t)+599/4 sin(t+8/5)+58/5 sin(3 t+8/5)+11/3 sin(4 t+14/3)+29/3 sin(5 t+8/5)+9/5 sin(7 t+8/5)+8/5 sin(8 t+14/3)+11/3 sin(9 t+8/5)+1559/2) θ(31 π-t) θ(t-27 π)+(-1/3 sin(3/2-10 t)-8/3 sin(8/5-8 t)-29/14 sin(8/5-6 t)-22/3 sin(8/5-4 t)-589/10 sin(8/5-2 t)+481/3 sin(t+8/5)+37/4 sin(3 t+8/5)+26/3 sin(5 t+8/5)+22/7 sin(7 t+8/5)+17/16 sin(9 t+8/5)+3874/5) θ(27 π-t) θ(t-23 π)+(-1/20 sin(7/6-22 t)-1/4 sin(4/3-17 t)-1/3 sin(4/3-15 t)-3/5 sin(3/4-13 t)-15/7 sin(1/2-11 t)-12/5 sin(1/12-9 t)+1001/4 sin(t+17/4)+32/3 sin(2 t+57/14)+23 sin(3 t+28/9)+16/3 sin(4 t+17/5)+33/5 sin(5 t+7/4)+4 sin(6 t+8/3)+23/5 sin(7 t+3/4)+2 sin(8 t+27/13)+2/5 sin(10 t+8/5)+1/2 sin(12 t+15/4)+10/9 sin(14 t+39/10)+7/8 sin(16 t+32/11)+3/4 sin(18 t+7/3)+1/3 sin(19 t+3/2)+1/3 sin(20 t+5/3)+2/5 sin(21 t+4/5)+1415/6) θ(23 π-t) θ(t-19 π)+(-59/4 sin(1/18-13 t)-39/5 sin(1/6-12 t)-55/3 sin(1/4-11 t)-15 sin(1/3-10 t)-13/5 sin(1/9-9 t)-85/4 sin(3/5-8 t)-22/5 sin(2/3-7 t)-591/4 sin(4/3-2 t)-536 sin(3/2-t)+295 sin(3 t+15/8)+27/2 sin(4 t+7/4)+209/4 sin(5 t+2)+201/8 sin(6 t+11/5)+21/2 sin(14 t+1/10)+35/6 sin(15 t+1/3)+14/3 sin(16 t+3/4)+13 sin(17 t+1/3)+2 sin(18 t+6/7)+36/5 sin(19 t+2/3)+14/3 sin(20 t+1)+775/2) θ(19 π-t) θ(t-15 π)+(-76/5 sin(1/3-15 t)-4 sin(5/4-13 t)-31/3 sin(7/5-12 t)-49/3 sin(12/11-11 t)-122/5 sin(1/2-8 t)-526/7 sin(5/6-6 t)-561/8 sin(1-3 t)-55/2 sin(2/5-2 t)+1027/5 sin(t+6/7)+323/5 sin(4 t+31/10)+215/6 sin(5 t+4/3)+71/3 sin(7 t+7/3)+47/4 sin(9 t+17/5)+85/4 sin(10 t+13/3)+72/5 sin(14 t+14/3)+87/8 sin(16 t+4/3)+3168/5) θ(15 π-t) θ(t-11 π)+(-35/6 sin(3/4-13 t)-7 sin(7/5-12 t)-46/3 sin(8/7-8 t)-181/4 sin(1/8-4 t)-327/4 sin(1/7-2 t)+320/3 sin(t+23/6)+169/5 sin(3 t+15/4)+347/4 sin(5 t+29/7)+239/3 sin(6 t+12/5)+47/4 sin(7 t+8/3)+35/4 sin(9 t+5/2)+35/2 sin(10 t+18/5)+118/7 sin(11 t+23/6)+10 sin(14 t+7/4)+25/4 sin(15 t+32/11)+39/5 sin(16 t+7/4)+442/5) θ(11 π-t) θ(t-7 π)+(-12 sin(1/5-12 t)-61/2 sin(1/2-11 t)-804/11 sin(3/2-3 t)+167/3 sin(2 t)+275/4 sin(8 t)+29/4 sin(15 t)+373/3 sin(t+19/5)+66/5 sin(4 t+5/2)+161/3 sin(5 t+9/4)+102/5 sin(6 t+8/3)+143/4 sin(7 t+1/12)+222/5 sin(9 t+22/5)+47/2 sin(10 t+2/3)+7/5 sin(13 t+3/2)+7 sin(14 t+7/6)+181/10 sin(16 t+10/3)+223/3) θ(7 π-t) θ(t-3 π)+(-31/6 sin(1/6-15 t)-12 sin(8/5-14 t)-541/10 sin(11/10-6 t)+640/3 sin(t+15/14)+306/5 sin(2 t+3/2)+221/4 sin(3 t+1/4)+131/3 sin(4 t+8/3)+47/3 sin(5 t+13/7)+38 sin(7 t+18/7)+181/5 sin(8 t+2/3)+49/4 sin(9 t+3/4)+103/6 sin(10 t+22/5)+43/5 sin(11 t+3/4)+14/3 sin(12 t+1/5)+55/3 sin(13 t+4/3)+34/7 sin(16 t+8/3)+3182/5) θ(3 π-t) θ(t+π)) θ(sqrt(sgn(sin(t/2))))