~v200 200 ~w57 4 514 768 0 96 0 0 ~f? 14 12 10
? 3 0 1 0 ? ? ? "Arial" ? ? ? 1 ? 0 1
"Times" 12 ? ? 7 0 c n 109 1 0 0 k 468
i"?n             page ?p?a"
-2 1 26177 26178 26115 26178 1 1 1 1 0 0
8405120 0 -1 0 0 -1 -1 -1 -1 -1 1 1 ? ? 
~Q
]|Expr|[#b @`bb#_b#_b#_})%# b'4" *|: ;bP8&c0!*Natural Cubic Spline|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~V?f0 (f)~p0
1 ~V?f144 (RowsOf)~p0
1 ~V?m0 (S)~p0
1 ~V?m0 (R)~p0
1 ~V?m0 (C)~p0
1 ~V?m0 (P)~p0
1 ~V?v0 (k)~p0
1 ~V?v0 (y)~p0
1 ~V?v0 (x)~p0
1 ~V?c1 ('p)~p0
1 ~Q
]|Expr|[#b @`bb#_b#_b#_})!# b'4["! ) # b'4|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}`fb#@})## b'4" *|: ;bP8&c0!*data|
  | points}& b!( b"0 b#8 b$@ b%H b&P!WW}}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p0
0 ~A(P=(1,4;4,9;6,15;7,10;9,7;10,3))~p0
1 ~d~Q
]|Expr|[#b @`bb#_b#_b#_})## b'4" *|: ;bP8&c0!*coefficient matrix|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~A(C=(1,0,0,0,0,0;(f_C(2))_1,(f_C(2))_2,1,0,0,0;0,(f_C(3))_1,~
 (f_C(3))_2,1,0,0;0,0,(f_C(4))_1,(f_C(4))_2,1,0;0,0,0,(f_C(5))_~
 1,(f_C(5))_2,1;0,0,0,0,0,1))~p0
1 ~d~A(f_C(?k)=((P_(?k,1)-P_(?k-1,1))/(P_(?k+1,1)-P_(?k,1)),2*(~
 P_(?k+1,1)-P_(?k-1,1))/(P_(?k+1,1)-P_(?k,1))))~p0
1 ~d~Q
]|Expr|[#b @`bb#_b#_b#_})'# b'4" *|: ;bP8&c0!*right hand side|
  | matrix}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~A(R=6*(0;f_R(2);f_R(3);f_R(4);f_R(5);0))~p0
1 ~d~A(f_R(?k)=(P_(?k+1,2)-P_(?k,2))/(P_(?k+1,1)-P_(?k,1))^2-(P_~
 (?k,2)-P_(?k-1,2))/((P_(?k+1,1)-P_(?k,1))*(P_(?k,1)-P_(?k-1,1))))~p0
1 ~d~Q
]|Expr|[#b @`bb#_b#_b#_})## b'4" *|: ;bP8&c0!*solution matrix|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~A(S=C^(-1)*R)~p0
1 ~d~A(S=(-2.0273135022582283e-15;2.8129330254041576;-10.064665127020787;~
 6.7621247113163969;-4.7540415704387993;0))~p0
255 ~sb/_!!   }
$&!  c#T"!c"H"_c/__c/__}
^ _~Q
]|Expr|[#b @`bb#_b#_b#_}`f#})!# b'4`f }["! `f#}) # b'4|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW})## b'4" *|: ;bP8&c0!*interpolating|
  | function}& b!( b"0 b#8 b$@ b%H b&P!WW}}|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~A(f(?x)=Conditional(f_1(1),f_2(1);f_1(2),f_2(2);f_1(3),f_2(3);~
 f_1(4),f_2(4);f_1(5),f_2(5)))~p0
1 ~d~A(f_1(?k)=f_11(?k)+f_12(?k)+f_13(?k))~p1
1 ~d~A(f_11(?k)=S_?k/6*((P_(?k+1,1)-?x)^3/(P_(?k+1,1)-P_(?k,1))-~
 (P_(?k+1,1)-P_(?k,1))*(P_(?k+1,1)-?x)))~p0
2 ~d~A(f_12(?k)=S_(?k+1)/6*((?x-P_(?k,1))^3/(P_(?k+1,1)-P_(?k,1))-~
 (P_(?k+1,1)-P_(?k,1))*(?x-P_(?k,1))))~p0
2 ~d~A(f_13(?k)=P_(?k,2)*(P_(?k+1,1)-?x)/(P_(?k+1,1)-P_(?k,1))+~
 P_(?k+1,2)*(?x-P_(?k,1))/(P_(?k+1,1)-P_(?k,1)))~p0
2 ~d~A(f_2(?k)=(?x>=P_(?k,1))*(?x<=P_(?k+1,1)))~p0
1 ~d~A(x=5)~p0
0 ~d~A(f(x))~p0
255 ~A(f(x)=13.812933025404156)~p0
255 ~sb/^!!   }
$&!  c#T"!c#L"_c/__c/__}
^ _~G1 1 210 462
0 1 3 4 10
(~
 0...11):(0...17):(?=0...2*'p):('p/5):(10)~Q
]|Expr|[#b @`bb#_b#_b#_})!# b#@" *|: ;bP8&c0!*Declarations|
  |}& b!( b"0 b#8 b$@ b%H b&P!WW}]|[~p1
0 ~R8405120 ? (x,y):(y=bottom...top):(x=left...right):(0)~p0
1 ~gc1 2 ? 0 -2607 -4096 0
65535 -2607 4096 0
~gc1 2 ? 0 -1117 -4096 0
65535 -1117 4096 0
~gc1 2 ? 0 372 -4096 0
65535 372 4096 0
~gc1 2 ? 0 1862 -4096 0
65535 1862 4096 0
~gc1 2 ? 0 3351 -4096 0
65535 3351 4096 0
~
 ~R8405120 ? (x,y):(x=left...right):(y=bottom...top):(0)~p0
1 ~gc1 2 ? 0 -4096 -1687 0
65535 4096 -1687 0
~gc1 2 ? 0 -4096 723 0
65535 4096 723 0
~gc1 2 ? 0 -4096 3132 0
65535 4096 3132 0
~
 ~X2 8405120 (left,y):(y=bottom...top):(y)~p0
1 ~gc1 2 ? 0 -4096 -4096 0
65535 -4096 4096 0
~X1 8405120 (x,bottom):(~
 x=left...right):(x)~p0
1 ~gc1 2 ? 0 -4096 -4096 0
65535 4096 -4096 0
~V?c64 (left)~p0
1 ~V?c65 (right)~p0
1 ~V?c66 (bottom)~p0
1 ~V?c67 (top)~p0
1 ~L1 255 ? (x,f(x)):(x=P_(1,1)...P_(RowsOf(P),1))~p0
0 ~gc0 35 ? 0 -3351 -2168 0
4228 -2919 -2081 0
6342 -2703 -2010 0
10570 -2270 -1756 0
12684 -2054 -1552 0
15062 -1811 -1243 0
16912 -1622 -934 0
19026 -1405 -498 0
20876 -1216 -34 0
23254 -973 680 0
25368 -757 1385 0
27746 -514 2160 0
29596 -324 2683 0
30917 -189 2982 0
31710 -108 3123 0
32403 -37 3219 0
33126 37 3289 0
33560 81 3315 0
34451 172 3326 0
35380 267 3274 0
35938 324 3209 0
36730 405 3069 0
38052 540 2723 0
40430 784 1882 0
42280 973 1187 0
44394 1189 532 0
46244 1378 156 0
48622 1622 -117 0
50736 1838 -233 0
54964 2270 -388 0
57078 2486 -563 0
58928 2676 -840 0
61306 2919 -1384 0
63156 3108 -1909 0
65535 3351 -2650 0
~
 ~S17 ? 16711680 ? ? (P_(k,1),P_(k,2)):(k=1...RowsOf(P)):(8)~p0
0 ~gc-1 6 ? 0 -3351 -2168 0
14745 -1117 241 0
26214 372 3132 0
39321 1117 723 0
50790 2607 -723 0
65535 3351 -2650 0
~
 ~S17 ? 255 ? ? (x,f(x)):(?):(8)~p0
0 ~gc-1 1 ? 0 -372 2560 0
~t~p0
0 ~c10
21 -1 20 -1 12 -1 6 -1 18 -1 1 -1 17 -1 4 -1 15 -1 14 -1 5 -1 ~c13
31 -1 30 -1 29 -1 9 -1 12 -1 6 -1 17 -1 4 -1 14 -1 5 -1 20 -1 3 -1 23 -1 1 -1 ~e