untitled-2.nb

空间曲线与曲面的绘制 无穷级数与函数逼近 最小二乘法

ool0oooo0;IV000200000003001V]P3oool0oooo01H0oooo000P0?ooo`800000403oool3000000T0
Uj;M00<0000009FUh02EYN002@2EYN000`000000TjST09>Xi00:09>Xi0030000002AZnL0TJ_W00T0
TJ_W00@0000008n^j`2?[^/0Sjk[1P00000309J_j@030000002C/nd0Tk?]00X0Tk?]00<00000092f
l02@]_001@2@]_0300000080T;K`00<0000008fim02=^O@02@2=^O@5000000`0TKof00<0000008g2
n@2=`_T02`2=`_T010000000R<Gl08S5o028aO`4000000L0TLSj00<0000008c;o@2<bod0302<bod0
10000000QLko08G>o`25c_l400000080Sm7n00<0000008oAoP2?dOh00`2?dOh2000000P0R=?o1000
000209;GoP8000002P3oool00`000000oooo0000000N0?ooo`00603oool0103KT3X000000000000j
T=/40?ooo`030000003oool0oooo0100oooo00<0000009NRg@2GX]d02@2GX]d00`000000UJGP09FU
h00909FUh0030000002CZ>@0TjST00T0TjST00<00000096[i`2AZnL0202AZnL5000000T0UZoY00<0
000009>ck@2C/nd02`2C/nd010000000T;K`092fl02@]_03000000H0T;K`00<0000008fim02=^O@0
0P2=^O@6000000<0UK_b00<00000096omP2A_oH0302A_oH00`000000SL;i08g2n@0908g2n@D00000
302Ab?X2000000/0S<_m1@00000708oAoP030000002?dOh0Sm7n00@0Sm7n00@0000008SCo`28dol0
R=?o1000000809;GoP8000002P3oool00`000000oooo0?ooo`0L0?ooo`00603oool01@2@IY00oooo
0?ooo`2@>VH0]_oo00<0oooo00<000000?ooo`3oool04@3oool00`000000Uj;M09NRg@0909NRg@03
0000002EYN00UJGP00T0UJGP00<0000009>Xi02CZ>@02@2CZ>@010000000TJ_W096[i`2AZnL60000
00<0V:cU00<0000009J_j@2F[nT02@2F[nT00`000000Tk?]09>ck@0;09>ck@<00000202@]_060000
00X0UK_b00<00000096omP2A_oH0302A_oH00`000000SL;i08g2n@0208g2n@H000000`2Fa?L00`00
0000TLSj0978nP0=0978nP030000002<bod0S<_m0080S<_m1P00000309G>n`030000002?dOh0Sm7n
00L0Sm7n00<0000008oAoP2?dOh00P2?dOh5000000d0T]On0P00000:0?ooo`030000003oool0oooo
01/0oooo000G0?ooo`060?oo]P1V>Y00oooo0?ooo`2fISX0T=_o0`3oool200000180oooo00<00000
09NRg@2GX]d02@2GX]d00`000000UJGP09FUh00909FUh0030000002CZ>@0TjST00P0TjST1@000009
09R/i@030000002F[nT0UZoY00X0UZoY00<0000009>ck@2C/nd01`2C/nd30000000309>ck@000000
T;K`0080T;K`1P00000309RhkP030000002E^o80UK_b00/0UK_b00<00000096omP2A_oH02`2A_oH5
000000X0U/Cg00<000000978nP2Ab?X0302Ab?X5000000X0ULkk0P00000808oAoP@000000`2Ido`0
0`000000T]On09;GoP0909;GoP<000000P2LfOd00`000000oooo0?ooo`080?ooo`030000003oool0
oooo01X0oooo000G0?ooo`060?oo]P1V>Y00oooo0?ooo`2fISX0T=_o0`3oool00`000000oooo0?oo
o`0B0?ooo`030000002GX]d0Uj;M00T0Uj;M00<0000009FUh02EYN002@2EYN0010000000TjST09>X
i02CZ>@6000000<0VJWR00<0000009R/i@2H[>D02@2H[>D00`000000UZoY09J_j@0:09J_j@030000
002C/nd0Tk?]00<0Tk?]0`00000409>ck@@000002P2H^>h00`000000UK_b09FklP0;09FklP030000
002A_oH0TKof00H0TKof1000000209W1l`030000002Fa?L0U/Cg00/0U/Cg0P0000080978nP@00000
0P2Ib_P00`000000ULkk09G>n`0<09G>n`040000002?dOh0Sm7n08oAoPD000001`2Ido`2000000H0
T]On0`00000609cIo@030000003oool0oooo00H0oooo0P00000L0?ooo`00603oool01@2@>SX0T=_o
0?oo]P1V06H0]_oo0080oooo00<000000?ooo`3oool0503oool00`000000Uj;M09NRg@0909NRg@03
0000002EYN00UJGP00P0UJGP1000000:09VYhP030000002H[>D0V:cU00T0V:cU00<0000009J_j@2F
[nT02@2F[nT00`000000Tk?]09>ck@03000000<0Tk?]1000000209ZdjP030000002H^>h0V;S^00X0
V;S^00<0000009FklP2E^o802`2E^o8010000000TKof096omP2A_oH4000000L0VL7c00<0000009K4
m`2Fa?L0302Fa?L010000000TLSj0978nP2Ab?X4000000L0VL[h00<0000009G>n`2Ec_/02`2Ec_/4
000000D0VM?l00<0000009WCo02Ido`01P2Ido`00`000000T]On09;GoP03000000X0W=Wm00<00000
0?ooo`3oool01`3oool00`000000oooo0?ooo`0I0?ooo`00603oool0103ofi00>P000000001V]_l3
0?ooo`8000005P3oool00`000000Uj;M09NRg@0909NRg@030000002EYN00UJGP00@0UJGP0`000002
09ZVgP030000002IZN80VJWR00T0VJWR00<0000009R/i@2H[>D02P2H[>D00`000000UZoY09J_j@09
09J_j@8000000P2C/nd4000000L0V[CZ00<0000009RhkP2H^>h02P2H^>h00`000000UK_b09FklP0:
09FklP@00000302I`O<00`000000U/Cg09K4m`0;09K4m`@00000302Ib_P00`000000ULkk09G>n`06
09G>n`@000000P2McoT00`000000VM?l09WCo00509WCo0030000002Ido`0VM?l00D0VM?l0`00000=
09cIo@800000203oool00`000000oooo0?ooo`0I0?ooo`007`3oool00`000000oooo0?ooo`0F0?oo
o`030000002GX]d0Uj;M00P0Uj;M00<0000009FUh02EYN001000000609ZVgP030000002IZN80VJWR
00T0VJWR00<0000009R/i@2H[>D02@2H[>D00`000000UZoY09J_j@0609J_j@L00000302J]>X00`00
0000V;S^09RhkP0:09RhkP030000002E^o80UK_b00D0UK_b1000000209bmk`030000002I`O<0VL7c
00`0VL7c00<0000009K4m`2Fa?L01P2Fa?L400000080WLKd00<0000009W:n02Ib_P0302Ib_P01000
0000ULkk09G>n`2Ec_/4000000L0WLoi00<0000009WCo02Ido`01@2Ido`010000000VM?l09WCo02I
do`300000080XMGj00<0000009cIo@2LfOd0202LfOd300000080Y=_k0P0000070?ooo`030000003o
ool0oooo01P0oooo000O0?ooo`030000003oool0oooo01H0oooo00<0000009NRg@2GX]d01`2GX]d4
000000X0VZKN00<0000009VYhP2IZN802P2IZN800`000000V:cU09R/i@0909R/i@040000002F[nT0
UZoY09J_j@H000000`2L/NH00`000000V[CZ09ZdjP0;09ZdjP030000002H^>h0V;S^00/0V;S^00<0
000009FklP2E^o801000000709bmk`030000002I`O<0VL7c00`0VL7c00@0000009K4m`2Fa?L0U/Cg
1000000709g6m0030000002Ib_P0VL[h00/0VL[h1000000<09g?n@030000002Ido`0VM?l00@0VM?l
100000060:7EnP030000002LfOd0W=Wm00@0W=Wm0`0000070:CKn`8000001P3oool00`000000oooo
0?ooo`0G0?ooo`007`3oool00`000000oooo0?ooo`0G0?ooo`040000002GX]d0Uj;M09NRg@D00000
0`2LY=/00`000000VZKN09ZVgP0909ZVgP030000002IZN80VJWR00X0VJWR00<0000009R/i@2H[>D0
202H[>D5000000T0W;7V00<0000009ZdjP2J]>X02`2J]>X00`000000V;S^09RhkP0909RhkP@00000
302L_Nl00`000000VL7c09W1l`0;09W1l`@000002`2Ma_@00`000000VL[h09W:n00809W:n0<00000
0P2QboH00`000000WLoi09g?n@0<09g?n@030000002Ido`0VM?l00<0000000<0XMGj0000002QeOX0
202QeOX00`000000W=Wm09cIo@03000000/0Y=_k0P0000050?ooo`030000003oool0oooo01L0oooo
000O0?ooo`8000006@3oool3000000T0W:CK00<0000009ZVgP2JY]h02@2JY]h00`000000VJWR09VY
hP0909VYhP030000002H[>D0V:cU00D0V:cU1P00000<09baiP030000002J]>X0V[CZ00/0V[CZ00<0
000009RhkP2H^>h00P2H^>h6000000<0W[W/00<0000009bmk`2L_Nl02`2L_Nl00`000000VL7c09W1
l`0609W1l`@000000P2P`_400`000000WLKd09g6m00;09g6m0030000002Ib_P0VL[h00@0VL[h0`00
00060:7;mP030000002McoT0WLoi00/0WLoi0`0000050:7EnP030000002QeOX0XMGj00H0XMGj0`00
000<0:CKn`8000000P2[g?P00`000000oooo0?ooo`030?ooo`030000003oool0oooo01H0oooo000N
0?ooo`030000003oool0oooo01X0oooo00<0000009bTf`2LY=/0202LY=/00`000000VZKN09ZVgP0:
09ZVgP030000002IZN80VJWR00T0VJWR00<0000009R/i@2H[>D01P00000409f^h`030000002L/NH0
W;7V00X0W;7V00<0000009ZdjP2J]>X02P2J]>X5000000X0W[W/00<0000009bmk`2L_Nl02`2L_Nl0
10000000VL7c09W1l`2I`O<4000000L0X<;a00<0000009g6m02Ma_@02`2Ma_@00`000000VL[h09W:
n003000000X0XL_f0P00000709g?n@@000000P2TdOL00`000000XMGj0:7EnP030:7EnP030000002Q
eOX0XMGj00<0XMGj0`0000020:SFn0030000002Tfo/0Y=_k00P0Y=_k0P0000050:_Ln0030000003o
ool0oooo00<0oooo00<000000?ooo`3oool05@3oool001h0oooo00<000000?ooo`3oool06P3oool0
0`000000W:CK09bTf`0909bTf`030000002JY]h0VZKN00T0VZKN00<0000009VYhP2IZN80202IZN87
000000P0WJkS00<0000009baiP2L/NH02P2L/NH00`000000V[CZ09ZdjP0509ZdjP@000000P2O]NP0
0`000000W[W/09jik00;09jik0030000002L_Nl0W;g_00X0W;g_1000000<0:32l@030000002Ma_@0
WLKd00X0WLKd0`00000?0:7;mP030000002McoT0WLoi00@000001`2TdOL2000000@0XMGj00<00000
0:7EnP0000000P0000060:SFn08000001@2Tfo/3000000P0Zmch00<000000?ooo`3oool00P3oool0
0`000000oooo0?ooo`0E0?ooo`007P3oool2000001`0oooo00<0000009bTf`2LY=/02@2LY=/00`00
0000VZKN09ZVgP0909ZVgP040000002IZN80VJWR09VYhPH0000000@0WZ_O00000000000000002`2M
[^<00`000000W;7V09baiP0;09baiP030000002J]>X0V[CZ00@000001`2O]NP00`000000W[W/09ji
k00:09jik0030000002L_Nl0W;g_00L0W;g_0`0000020::nk@030000002P`_40X<;a00`0X<;a00<0
000009g6m02Ma_@01@2Ma_@400000080Y<Ob00<000000:7;mP2QboH03@2QboH3000000d0Y=7g00<0
00000:7EnP2QeOX00`00000;0:SFn0030000002Tfo/0Y=_k008000002`2[g?P2000000@0oooo00<0
00000?ooo`3oool0503oool001h0oooo00<000000?ooo`3oool0703oool00`000000W:CK09bTf`09
09bTf`030000002JY]h0VZKN00P0VZKN1000000409j[g`<000000`2NZml00`000000WJkS09f^h`09
09f^h`030000002L/NH0W;7V00X0W;7V0`00000<09nej0030000002N^N`0W[W/00X0W[W/00<00000
09bmk`2L_Nl0102L_Nl2000000H0X[k]00<000000:32l@2P`_40302P`_400`000000WLKd09g6m004
000000L0Y<Ob00<000000:7;mP2QboH02@2QboH300000080Ylcc00<000000:CAm`2TdOL02`2TdOL3
000000<0Z=Kh00<000000:SFn02Xe_P0202Xe_P3000000/0Zmch0P0000020;;LmP030000003oool0
oooo0080oooo00<000000?ooo`3oool04`3oool001h0oooo00<000000?ooo`3oool0703oool00`00
0000W:CK09bTf`0909bTf`030000002JY]h0VZKN00D0VZKN0`00000209nWg0030000002NZml0WZ_O
00<000001`2NZml00`000000WJkS09f^h`0909f^h`030000002L/NH0W;7V00D0W;7V100000020:6b
i0030000002O]NP0WkGX00X0WkGX00<0000009jik02N^N`02`2N^N`00`000000W;g_09bmk`030000
00T0X[k]00<000000:32l@2P`_402`2P`_43000000`0Y<Ob0P0000060:7;mP<000001P2Wc?<00`00
0000Y=7g0:CAm`070:CAm`<000000P2[dO@01@000000Z=Kh0:SFn02Xe_P0000000L0Z=Kh0`000002
0:kGm@030000002[g?P0Zmch00L0Zmch0P0000050;;LmP8000000P3oool00`000000oooo0?ooo`0C
0?ooo`007P3oool00`000000oooo0?ooo`0M0?ooo`030000002LY=/0W:CK00T0W:CK00<0000009ZV
gP2JY]h01000000509nWg0<000002P2NZml00`000000WJkS09f^h`0:09f^h`030000002L/NH0W;7V
00@000001`2Q/^@00`000000WkGX09nej00:09nej0030000002N^N`0W[W/00X0W[W/0`00000<0::n
k@030000002P`_40X<;a00P0X<;a0`0000020:K3kP030000002Tao80Y<Ob00`0Y<Ob00<000000:7;
mP2QboH00`00000:0:O<l`030000002TdOL0Y=7g00@0Y=7g0P0000060:_Am08000000P2Xe_P01000
0000Z=Kh0:SFn02Xe_P3000000H0[]Oe00<000000:_Ln02[g?P00`2[g?P3000000T0/]cf00@00000
0?ooo`3oool00000503oool001d0oooo0`00000O0?ooo`030000002LY=/0W:CK00P0W:CK0`000006
09nWg0<0000000<0WjOL0000002NZml02`2NZml00`000000WJkS09f^h`0909f^h`<00000302Q/^@0
0`000000WkGX09nej00:09nej0030000002N^N`0W[W/00D0W[W/100000020:>jj@030000002R_^d0
X[k]00/0X[k]00<000000:32l@2P`_40102P`_43000000H0Y/?^00<000000:C7lP2Tao802`2Tao83
000000h0Ylcc00<000000:CAm`2TdOL00`00000:0:_Am0030000002Xe_P0Z=Kh00<000002P2^eoD0
0`000000Zmch0:_Ln002000000X0/]cf0P0000001@2hg?<000000?ooo`3oool0000000H0oooo00P0
oonf06H00000000000000000>P2@fol0oooo0=^@>P8000000@0jT=/10?ooo`40oooo000M0?ooo`03
0000003oool0oooo0200oooo00<0000009bTf`2LY=/0102LY=/300000080X:GI00@0000009nWg02O
Ym`0WjOL0`00000509nWg0030000002NZml0WZ_O00X0WZ_O00<0000009f^h`2M[^<01@2M[^<30000
0080XZkP00<000000:6bi02Q/^@02P2Q/^@00`000000WkGX09nej00;09nej0030000002N^N`0W[W/
00@000001`2S^^T00`000000X[k]0::nk@0;0::nk@030000002P`_40X<;a00<000002@2V`nh00`00
0000Y<Ob0:C7lP080:C7lP<000000P2Yanl00`000000Ylcc0:O<l`0<0:O<l`<000003@2[dO@30000
00030:kGm@000000[]Oe00X0[]Oe0`00000:0;;LmP800000102hg?<3000000P0oooo00<0okIV03Z@
f`3oool00P3oool01@2@IY00oooo0?ooo`2@>VH0]_oo0040oooo00090?ooo`040=^@>P0000000000
03Z@f`80oooo00@0fi0j000000000000>Y3K0P3oool0103KT3X000000000000jT=/40?ooo`030000
003oool0oooo0200oooo00<0000009bTf`2LY=/0100000050:2Uf@040000002OYm`00000000000T0
WjOL00<0000009j[g`2NZml02P2NZml00`000000WJkS09f^h`04000000H0XZkP00<000000:6bi02Q
/^@02P2Q/^@00`000000WkGX09nej00:09nej0<00000302S^^T00`000000X[k]0::nk@0:0::nk@<0
00003@2V`nh00`000000Y<Ob0:C7lP040:C7lP<000001P2Yanl00`000000Ylcc0:O<l`080:O<l`<0
00000P2]cO000`000000Zm7d0:_Am0090:_Am08000000P2ad_400`000000[]Oe000000090:kGm@80
00000P2deo800`000000/]cf0;;LmP060;;LmP8000001`2hg?<00`000000oooo000000070?ooo`06
0?nfIP0jT=/0oooo0?ooo`3ookH0ISZ@0P3oool10;IV>P40T=_o0@3oool000P0oooo00P0om^@03Xj
T03oool0oooo090j>P2@fol0oooo091VT080oooo00@0T3YV0;Koo`3oool0T6J@0P3oool00`2@>VH0
]_oo0?ooo`020?ooo`030000003oool0oooo0240oooo0P0000080:2Uf@<00000302OYm`00`000000
WZ_O09j[g`0909j[g`<000002`2R[^000`000000XK;T0:6bi00:0:6bi0030000002O]NP0WkGX00D0
WkGX100000020:Ffi@030000002S^^T0Xk[Y00/0Xk[Y00<000000::nk@2R_^d01@2R_^d400000080
YkkZ00<000000:K3kP2V`nh0302V`nh00`000000Y<Ob0:C7lP03000000X0ZLO_00<000000:O<l`2W
c?<0102Wc?<3000000H0[Lg`00<000000:_Am02[dO@01P2[dO@2000000D0/M;a00<000000:kGm@00
00001P2^eoD2000000D0]=Ob0P0000040;;LmP8000002P2hg?<00`000000oooo000000060?ooo`06
0?nfIP0jT=/0oooo0?ooo`3ookH0ISZ@0P3oool10;IV>P40T=_o0@3oool000`0oooo00@0]VHj093K
o`3ookH0ISZ@0P3oool0102fISX0T=_o0?oo]P1V>Y020?ooo`030;IV>P2@fol0oooo0080oooo0P00
000S0?ooo`030000002PYMT0X:GI00<0X:GI0`0000030:2Uf@030000002OYm`0WjOL00T0WjOL00<0
000009j[g`2NZml01@2NZml400000080Xj_M00<000000::^h02R[^002@2R[^000`000000XK;T0:6b
i00;0:6bi0030000002O]NP0WkGX00@000001`2U]^D00`000000Xk[Y0:>jj@0;0:>jj@030000002R
_^d0X[k]00@000001`2W_^X00`000000Y/?^0:K3kP0;0:K3kP<000003P2Yanl00`000000Ylcc0:O<
l`03000000X0[Lg`00<000000:_Am02[dO@00`2[dO@2000000P0/M;a00<000000:kGm@0000000`2^
eoD2000000T0]=Ob00@000000;;LmP00000000002P2hg?<2000000030;gLl0000000000000D0oooo
00<0T3YV0;JfIP0jT=/00`3oool01@2@>SX0T=_o0?oo]P1V06H0]_oo0040oooo00090?ooo`070;IV
000000000000001V]P3oool0oonf06HjT0020?ooo`040;IV>P2@fol0oonf06HjT080oooo00<0]VHj
093Ko`3oool00P3oool00`000000oooo0?ooo`0R0?ooo`030000002PYMT0X:GI00<000001P2PYMT0
0`000000WjOL09nWg00:09nWg0030000002NZml0WZ_O00@000001P2SZmd00`000000XZkP0::^h00:
0::^h0030000002Q/^@0XK;T00X0XK;T0`00000<0:Ffi@030000002S^^T0Xk[Y00X0Xk[Y0`00000<
0:NnjP030000002V`nh0Y/?^00L0Y/?^0`0000020:_3j`030000002Yanl0ZLO_00`0ZLO_0`00000>
0:g=l0030000002[dO@0Zm7d008000002`2ad_42000000030:kGm@000000000000/0]=Ob0P00000:
0;SLl`800000102mg?02000000@0oooo00<0okIV0000000jT=/00`3oool0103ofi00>P000000001V
]_l20?ooo`002@3oool00`2fISX0T=_o0?ooo`030?ooo`0;090j>P2@fol0oonf06H0IP2fool0oooo
090j>P2@fol0oonf06H0IP2fool00P3oool00`000000oooo0?ooo`0S0?ooo`<000002P2PYMT00`00
0000WjOL09nWg00909nWg0<000002`2SZmd00`000000XZkP0::^h00:0::^h0030000002Q/^@0XK;T
00D0XK;T100000020:JbhP030000002U]^D0YKKU00X0YKKU00<000000:>jj@2S^^T01`2S^^T30000
0080Z;[V00<000000:NnjP2W_^X02`2W_^X00`000000Y/?^0:K3kP040:K3kP8000001P2[`n/00`00
0000ZLO_0:W7k`090:W7k`8000000P2_b>`00`000000[Lg`0:g=l00<0:g=l0<000003@2ad_430000
00/0]=Ob0P0000020;WGk`030000002hg?<0^=cc00D0^=cc0P0000070;gLl0030000003oool0oooo
00h0oooo00090?ooo`040;IV000000000000001V]P80oooo00@0om^@03X000000000I[Ko0P3oool0
103ofi00>P000000001V]_l30?ooo`8000008@3oool3000000030?ooo`000000X:GI00/0X:GI00<0
000009nWg02OYm`01P2OYm`200000080Y:SJ00<000000:>[g@2SZmd02P2SZmd00`000000XZkP0::^
h00:0::^h0030000002Q/^@0XK;T00@000001P2V/^800`000000YKKU0:Ffi@0;0:Ffi@030000002S
^^T0Xk[Y00@0Xk[Y0P0000060:RjiP030000002W_^X0YkkZ00/0YkkZ00<000000:K3kP2V`nh00`00
00090:_3j`030000002Yanl0ZLO_00H0ZLO_0P0000050:o8k0030000002]cO00[Lg`00T0[Lg`0P00
00020;;=k@030000002ad_40/M;a00T0/M;a0P0000020;KBkP800000202deo82000000D0^MO_00<0
00000;SLl`2hg?<00P2hg?<2000000L0_Mc`0`00000@0?ooo`00703oool00`000000oooo0?ooo`0M
0?ooo`<000001@3oool00`000000X:GI0:2Uf@0:0:2Uf@030000002OYm`0WjOL0080WjOL0`000005
0:BXfP030000002SZmd0Xj_M00T0Xj_M00<000000::^h02R[^002P2R[^03000000/0Y[;R00<00000
0:Ffi@2U]^D02`2U]^D00`000000Xk[Y0:>jj@03000000T0Z;[V00<000000:NnjP2W_^X02P2W_^X3
000000d0Zl?[00<000000:W7k`2Yanl00`2Yanl2000000L0[lS/00<000000:g=l02]cO001`2]cO02
000000D0//g]00<000000;7Bl@2ad_401P2ad_42000000D0]];^0P0000040;CGlP<00000202ienl0
10000000^=cc0000000000070;gLl08000000P3oool00`000000oooo0?ooo`0>0?ooo`00703oool0
0`000000oooo0?ooo`0J0?ooo`<000002@3oool00`000000X:GI0:2Uf@090:2Uf@030000002OYm`0
WjOL00800000202TZ=X00`000000Xj_M0:>[g@0:0:>[g@030000002R[^00XZkP00H0XZkP0`000002
0:N_gP030000002V/^80Y[;R00X0Y[;R00<000000:Ffi@2U]^D02P2U]^D3000000`0Z;[V00<00000
0:NnjP2W_^X01`2W_^X300000080[;oW00<000000:_3j`2[`n/0302[`n/00`000000ZLO_0:W7k`02
000000X0[lS/00<000000:g=l02]cO000`2]cO03000000P0//g]00<000000;7Bl@2ad_400`2ad_42
000000P0]];^00<000000;CGlP2deo800P00000;0;WGk`800000202mg?000`000000oooo0?ooo`03
0?ooo`030000003oool0oooo00d0oooo000L0?ooo`030000003oool0oooo01L0oooo0`00000<0?oo
o`030000002PYMT0X:GI00T0X:GI0`00000;0:BXfP030000002SZmd0Xj_M00X0Xj_M00<000000::^
h02R[^000`2R[^02000000D0YjoN00<000000:JbhP2V/^802`2V/^800`000000YKKU0:Ffi@060:Ff
i@<000000P2Y]n<00`000000Z;[V0:RjiP0;0:RjiP030000002W_^X0YkkZ00@0YkkZ0P0000060:bo
i`030000002[`n/0Zl?[00/0Zl?[0`00000=0:o8k0030000002]cO00[Lg`00800000302bcNd00`00
0000/M;a0;7Bl@02000000X0]];^0`00000;0;WGk`8000000P2nen`00`000000_Mc`0;gLl0030;gL
l08000001P3oool00`000000oooo0?ooo`0=0?ooo`00703oool2000001D0oooo0`00000@0?ooo`03
0000002PYMT0X:GI00@0X:GI100000020:BVe`030000002TZ=X0Y:SJ00X0Y:SJ00<000000:>[g@2S
Zmd02@2SZmd00`000000XZkP0::^h003000000P0YjoN00<000000:JbhP2V/^802P2V/^800`000000
YKKU0:Ffi@040:Ffi@8000001P2Y]n<00`000000Z;[V0:RjiP0;0:RjiP030000002W_^X0YkkZ00<0
00002@2/_nL00`000000Zl?[0:_3j`070:_3j`<000000P2``nP00`000000[lS/0:o8k00;0:o8k0<0
00003P2bcNd3000000X0]];^0P0000020;_Bj`030000002ienl0^MO_00L0^MO_0P0000050;kGk080
000000<0_Mc`000000000000203oool00`000000oooo0?ooo`0=0?ooo`006`3oool00`000000oooo
0?ooo`0B0?ooo`<000004`3oool00`000000X:GI0:2Uf@04000000H0Y:KG00<000000:BXfP2TZ=X0
2`2TZ=X00`000000Xj_M0:>[g@080:>[g@<00000302W[mh00`000000Y[;R0:JbhP0:0:JbhP030000
002U]^D0YKKU00<000002@2Y]n<00`000000Z;[V0:RjiP0:0:RjiP<000003@2/_nL00`000000Zl?[
0:_3j`040:_3j`8000001P2``nP00`000000[lS/0:o8k0070:o8k0<000000P2cb>T00`000000//g]
0;;=k@0:0;;=k@8000000P2gcN/00`000000]];^0;KBkP060;KBkP8000001@2kd^/2000000D0^MO_
0P0000090;kGk0030000003oool0oooo00P0oooo00<000000?ooo`3oool03@3oool001/0oooo00<0
00000?ooo`3oool03`3oool3000001L0oooo0P00000;0:BVe`030000002TZ=X0Y:SJ00X0Y:SJ00<0
00000:>[g@2SZmd01@2SZmd300000080YjcK00<000000:N_gP2W[mh02P2W[mh00`000000Y[;R0:Jb
hP0:0:JbhP<00000302Y]n<00`000000Z;[V0:RjiP070:RjiP<000000P2]^n@00`000000[;oW0:bo
i`0<0:boi`030000002[`n/0Zl?[00<000002@2``nP00`000000[lS/0:o8k0040:o8k08000001P2c
b>T00`000000//g]0;;=k@070;;=k@8000001@2gcN/00`000000]];^0;KBkP030;KBkP8000001`2k
d^/00`000000^m;[000000020;WGk`8000002@2nen`2000000/0oooo00<000000?ooo`3oool03@3o
ool001/0oooo00<000000?ooo`3oool03@3oool2000001/0oooo00<000000:BVe`2TY]L02P2TY]L0
0`000000Y:SJ0:BXfP0:0:BXfP030000002SZmd0Xj_M00@000001P2W[=/00`000000YjoN0:N_gP0:
0:N_gP030000002V/^80Y[;R00H0Y[;R0`0000020:Zcg`030000002Y]n<0ZKOS00/0ZKOS00<00000
0:RjiP2X^^H0102X^^H2000000H0[K_T00<000000:boi`2/_nL02`2/_nL3000000d0/<?X00<00000
0:o8k02_b>`00`0000090;?8j@030000002bcNd0//g]00<0//g]0`0000080;O=j`030000002fd^h0
]];^008000002P2kd^/010000000^m;[00000000000:0;kGk0030000003oool0oooo00/0oooo00<0
00000?ooo`3oool03@3oool001/0oooo0P00000;0?ooo`<000007@3oool00`000000Y:KG0:BVe`0:
0:BVe`030000002TZ=X0Y:SJ00X0Y:SJ0`00000;0:N/f`030000002W[mh0YjoN00X0YjoN00<00000
0:JbhP2V/^800`2V/^82000000H0Z[?O00<000000:Vgh`2Y]n<02`2Y]n<00`000000Z;[V0:RjiP03
000000T0[K_T00<000000:boi`2/_nL0202/_nL200000080/KoU00<000000;33j02``nP02`2``nP3
000000d0/lSY00<000000;;=k@2bcNd00P00000<0;O=j`800000302kd^/2000000030;oAj0000000
_]O/00L0_]O/0P00000>0?ooo`030000003oool0oooo00d0oooo000K0?ooo`030000003oool0oooo
00L0oooo0`00000Q0?ooo`030000002TY]L0Y:KG00X0Y:KG00<000000:BXfP2TZ=X01P2TZ=X30000
0080Z:WH00<000000:N/f`2W[=/02@2W[=/00`000000YjoN0:N_gP0:0:N_gP030000002V/^80Y[;R
00<000002@2Z/ml00`000000ZKOS0:Vgh`0:0:Vgh`<00000302]^n@00`000000[;oW0:boi`060:bo
i`8000001@2a_nD00`000000/<?X0;33j0080;33j08000000P2da>H00`000000/lSY0;?8j@0<0;?8
j@800000302gcN/2000000030;_=i`000000^m;[00T0^m;[0P0000020;oAj0030000002odNP00000
00D0_]O/0P00000A0?ooo`030000003oool0oooo00`0oooo000K0?ooo`030000003oool0oooo00@0
oooo0`00000U0?ooo`030000002TY]L0Y:KG00X0Y:KG00<000000:BXfP2TZ=X00`2TZ=X2000000D0
Z:WH00<000000:N/f`2W[=/02P2W[=/00`000000YjoN0:N_gP090:N_gP<00000302Z/ml00`000000
ZKOS0:Vgh`070:Vgh`<000000P2^]n000`000000[K_T0:fki00;0:fki0030000002/_nL0[;oW00<0
[;oW0P0000070;6oi@030000002``nP0/<?X00H0/<?X0P0000050;C4iP030000002cb>T0/lSY00T0
/lSY0P0000000`2hb>L000000;O=j`090;O=j`800000102kcNL00`000000^m;[0;_Bj`050;_Bj`80
0000102odNP00`000000_m7X000000040;kGk0030000003oool0oooo0140oooo00<000000?ooo`3o
ool0303oool001X0oooo00<000000?ooo`0000000P3oool3000002P0oooo00<000000:BVe`2TY]L0
2P2TY]L00`000000Y:SJ0:BXfP03000000P0Z:WH00<000000:N/f`2W[=/02P2W[=/00`000000YjoN
0:N_gP050:N_gP<000000P2[/=`00`000000Z[?O0:Zcg`0;0:Zcg`030000002Y]n<0ZKOS00@0ZKOS
0P0000060:jgh0030000002]^n@0[K_T00/0[K_T00<000000:boi`2/_nL00P00000:0;6oi@030000
002``nP0/<?X00<0/<?X0P0000080;C4iP030000002cb>T0/lSY00H0/lSY0P0000040;S8i`030000
002gcN/0]lg[00D0]lg[0P0000070;_=i`030000002kd^/0^m;[0080^m;[0P0000070;oAj0040000
002odNP000000;kGk0800000503oool00`000000oooo0?ooo`0<0?ooo`006P3oool5000002`0oooo
00<000000:BVe`2TY]L02@2TY]L3000000`0Z:WH00<000000:N/f`2W[=/02P2W[=/00`000000YjoN
0:N_gP04000000H0Zk3L00<000000:Zcg`2Z/ml02`2Z/ml00`000000ZKOS0:Vgh`03000000T0[[OP
00<000000:fki02]^n@02P2]^n@3000000d0/KoU00<000000;33j02``nP00P00000;0;C4iP030000
002cb>T0/lSY00<0/lSY0P0000070;S8i`030000002gcN/0]lg[0080]lg[0P00000:0;_=i`040000
002kd^/00000000000X0_m7X00<000000;oAj00000005P3oool00`000000oooo0?ooo`0<0?ooo`00
00P0oonf06H00000000000000000>P2@fol0oooo0=^@>P80000000@0>Y3K0?ooo`3oool0fi0j0P00
0000100jT=/0oooo0?ooo`3KT3X20000000403Z@f`3oool0oooo0?ooo`800000<03oool00`000000
Y:KG0:BVe`060:BVe`8000000P2XY]@00`000000Z:WH0:RYf00:0:RYf0030000002W[=/0YjcK00X0
YjcK0`00000;0:^`g0030000002Z/ml0Z[?O00/0Z[?O0P00000<0:jgh0030000002]^n@0[K_T00L0
[K_T0`0000020;6kh@030000002a_nD0/KoU00/0/KoU0`00000>0;C4iP030000002cb>T0/lSY0080
00002P2hb>L010000000]lg[00000000000=0;_=i`030000002odNP0_m7X00X0_m7X0P00000G0?oo
o`030000003oool0oooo00`0oooo00020?ooo`030?nfIP0jT=/0oooo0080oooo00L0T6J@0?ooo`3o
ool0T3YV0;Koo`3oool0T6J@0080oooo00@0T3YV0;Koo`3oool0T6J@0P3oool00`2@>VH0]_oo0?oo
o`020?ooo`030000003oool0oooo02l0oooo00<000000:BVe`2TY]L00P2TY]L3000000D0Z:KD00<0
00000:RYf02XZMP02P2XZMP00`000000YjcK0:N/f`060:N/f`<000000P2[[MP00`000000Zk3L0:^`
g0090:^`g0030000002Z/ml0Z[?O00T0Z[?O0P0000000`2^/m`000000:jgh00<0:jgh0030000002]
^n@0[K_T00@0[K_T0P0000060;6kh@030000002a_nD0/KoU00P0/KoU0P0000020;BohP030000002d
a>H0]<CV00`0]<CV0`00000=0;S8i`030000002kcNL0^lgW00/0^lgW0P0000000`2oc>D000000;oA
j0080;oAj080000000<0oooo0000003oool05P3oool00`000000oooo0?ooo`0<0?ooo`000P3oool0
1P3o]VH0>Y3K0?ooo`3oool0oonf06HjT080oooo00@0]VHj093Ko`3ookH0ISZ@0P3oool0102fISX0
T=_o0?oo]P1V>Y020?ooo`030;IV>P2@fol0oooo00<0oooo0P00000_0?ooo`030000002TY]L0Y:KG
00800000202XY]@00`000000Z:WH0:RYf00;0:RYf0030000002W[=/0YjcK00<0YjcK0P0000050:^]
f0030000002[/=`0Zk3L00X0Zk3L00<000000:Zcg`2Z/ml01P2Z/ml2000000<0[[?L00<000000:jg
h02^]n00302^]n000`000000[K_T0:fki003000000P0/K_Q00<000000;6oi@2a_nD01P2a_nD20000
00D0];oR00<000000;C4iP2da>H02@2da>H200000080^<?S00<000000;S8i`2hb>L02@2hb>L20000
00030;_8i0000000^lgW00T0^lgW0P0000040;o<i@030000002odNP0_m7X00@0_m7X0P0000040?oo
o`030000003oool0oooo01@0oooo00<000000?ooo`3oool0303oool00080oooo00H0okIV03Z@f`3o
ool0oooo0?oo]P1V>Y020?ooo`040;IV>P2@fol0oonf06HjT080oooo00@0]VHj093Ko`3ookH0ISZ@
0P3oool00`2fISX0T=_o0?ooo`050?ooo`030000003oool0oooo02d0oooo0P00000;0:RVe0030000
002XZMP0Z:WH00X0Z:WH00<000000:N/f`2W[=/00`0000080:^]f0030000002[/=`0Zk3L00X0Zk3L
00<000000:Zcg`2Z/ml00`2Z/ml2000000H0[[?L00<000000:jgh02^]n002`2^]n03000000`0/K_Q
00<000000;6oi@2a_nD00`2a_nD2000000P0];oR00<000000;C4iP2da>H01P2da>H2000000D0^<?S
00<000000;S8i`2hb>L01P2hb>L2000000@0^lST00<000000;_=i`2kcNL01@2kcNL2000000H0_lcU
00<000000;oAj02odNP00P2odNP2000000L0oooo00<000000?ooo`3oool0503oool00`000000oooo
0?ooo`0;0?ooo`0000@0oooo090jIP2f]VH0>Y3K0`3oool04@2@>SX0T=_o0?oo]P1V06H0]_oo0?oo
o`2@>SX0T=_o0?oo]P1V06H0]_oo0?ooo`2@>SX0T=_o0?oo]P1V06H0]_oo00L0oooo00<000000?oo
o`3oool0;@3oool00`000000Z:KD0:RVe00:0:RVe0030000002XZMP0Z:WH00T0Z:WH0`00000<0:^]
f0030000002[/=`0Zk3L00X0Zk3L00<000000:Zcg`2Z/ml00P0000090:jcg0030000002^]n00[[OP
00P0[[OP0P0000020;6gg@030000002a^n40/K_Q00/0/K_Q00<000000;6oi@2a_nD00P00000;0;Bo
hP030000002da>H0]<CV00<0]<CV0P0000070;S3h`030000002hb>L0^<SW00D0^<SW00<000000;_8
i02kb>@01@2kb>@00`000000^lgW0;_=i`020;_=i`8000002@2oc>D010000000_m7X00000000