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Zahra Nourmohammadi, Surabhi Joshi, Srikar Vengallatore
Analysis of Nonlinear Thermoelastic Dissipation in Euler-Bernoulli Beam Resonators
www.plosone.org
www.plosone.org
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1 j
1 J
0 w
11.9999 0 0 11.9999 200.0125 426.6708 cm
BT
/F2 1 Tf
1 TL
0 0 Td
(Methods)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 200.0125 409.6629 cm
BT
/F5 1 Tf
1 TL
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[(8)-16()11()8( )2()2(\r)2()1()]TJ
3.8494 0 Td
[()8()]TJ
1.1962 0 Td
[()3( )-7()11(\n)-5()13()11()11()2()-1()]TJ
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[()4()11()4()1()7()1()4()-6()11()3( )]TJ
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[()22()-5()2()1()23('9)-19()1()-4()4()11()-5()-5()1()]TJ
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[()2()1()8()1(\n)-4()]TJ
/F6 1 Tf
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[( )]TJ
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[()]TJ
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[(\n)]TJ
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[()]TJ
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[( )-3()2(\r)12(\n)-4()]TJ
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-35.0416 -1.2982 Td
[()]TJ
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[()]TJ
0.9184 0 Td
[(:)]TJ
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[( )-1()1( )5(\n)6()1()]TJ
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[()]TJ
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[()]TJ
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[()]TJ
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[(\r)]TJ
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[()]TJ
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[()]TJ
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[()]TJ
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[()3( )]TJ
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[( )5(\n)-5()-10()2()-6(\n)10()1()13()]TJ
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[( )-7()]TJ
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[(\n)-4()4()]TJ
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3.2995 0 Td
[(\r)2()1()-11()1()4()-6(\r)]TJ
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[()15()]TJ
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[(#)]TJ
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()Tj
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[()]TJ
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0.686 0 Td
()Tj
/F6 1 Tf
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[( )]TJ
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[()]TJ
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[(#)]TJ
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[(\r)]TJ
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0.6576 0 Td
()Tj
/F6 1 Tf
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[()]TJ
/F5 1 Tf
[()]TJ
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[()8()4(\r)]TJ
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[(#)]TJ
/F13 1 Tf
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()Tj
/F6 1 Tf
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[()]TJ
/F13 1 Tf
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()Tj
/F6 1 Tf
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[(\n)]TJ
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[()]TJ
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[()1()4()]TJ
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[($)-2()-4()]TJ
2.0749 0 Td
[( )5(\n)-5()13()2( )5( )]TJ
/F6 1 Tf
2.4038 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 504.5669 381.9968 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 513.8078 383.6976 cm
BT
/F5 1 Tf
1 TL
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[(3)]TJ
/F6 1 Tf
0.7936 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 526.4503 381.9968 cm
BT
/F5 1 Tf
1 TL
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[(#)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 532.233 383.6976 cm
BT
/F5 1 Tf
1 TL
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[()2($)]TJ
/F6 1 Tf
[()]TJ
/F5 1 Tf
[()]TJ
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[()3( )]TJ
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[()4()11(\()-2()1()13()]TJ
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[()11()]TJ
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[(\n)-4()4()]TJ
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[( )5(\n)-5()13()2( )5( )]TJ
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[(\n)6()1()8( )-7()11()-23(7)]TJ
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[()]TJ
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[()]TJ
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()Tj
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(p)Tj
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[()]TJ
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[()-9()1()4(\r')]TJ
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[()1()8()]TJ
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[()3( )]TJ
/F15 1 Tf
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()Tj
ET
Q
q
1 j
1 J
0 w
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BT
/F6 1 Tf
1 TL
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[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 237.9401 342.9921 cm
BT
/F5 1 Tf
1 TL
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[(3)]TJ
/F6 1 Tf
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[()]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 250.0157 341.348 cm
BT
/F5 1 Tf
1 TL
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[(#)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 255.8551 342.9921 cm
BT
/F5 1 Tf
1 TL
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[()2($)]TJ
/F6 1 Tf
[()]TJ
/F5 1 Tf
[()]TJ
3.7303 0 Td
[( )-7()4()1()13()]TJ
/F6 1 Tf
2.6306 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
7.4999 0 0 6.6659 323.6031 341.348 cm
BT
/F5 1 Tf
1 TL
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[(#)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 329.4425 342.9921 cm
BT
/F5 1 Tf
1 TL
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[()3( )]TJ
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[(\n)-4()4()]TJ
1.4683 0 Td
[()8()19()6()1()12(\n)10()2(\r)2()]TJ
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[()11()]TJ
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[()1( )-7()-5()-5()-2()18(\n)-5()2()11()]TJ
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[()1()4()]TJ
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[()4()11()-4()3()-4()]TJ
3.1294 0 Td
[( )5(\n)-5()8()1()8( )]TJ
2.8573 0 Td
[()8()13()]TJ
1.44 0 Td
[()-5()7()8()1()]TJ
2.3584 0 Td
[()15()]TJ
-36.629 -1.2982 Td
[()]TJ
0.83 0.64 0.02 0 k
[(.)]TJ
0 g
[()]TJ
/F15 1 Tf
11.7978 -2.5455 Td
()Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 322.9228 302.0598 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 331.937 304.5543 cm
BT
/F13 1 Tf
1 TL
0 0 Td
()Tj
ET
Q
q
1 j
1 J
0 w
342.4252 307.2756 m
354.2173 307.2756 l
354.2173 306.8787 l
342.4252 306.8787 l
f*
10 0 0 10 342.4251 311.3574 cm
BT
/F12 1 Tf
1 TL
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(s)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 347.9811 308.8629 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 345.4299 297.6944 cm
BT
/F6 1 Tf
1 TL
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[()]TJ
/F13 1 Tf
1.0998 0.6859 Td
()Tj
/F12 1 Tf
0.9921 0 Td
(ay)Tj
/F13 1 Tf
1.2813 0 Td
()Tj
1.0488 0 Td
( )Tj
/F6 1 Tf
1.5023 0 Td
[()]TJ
/F13 1 Tf
0.669 0 Td
( )Tj
ET
Q
q
1 j
1 J
0 w
421.285 307.2756 m
426.3874 307.2756 l
426.3874 306.8787 l
421.285 306.8787 l
f*
10 0 0 10 421.285 311.3574 cm
BT
/F6 1 Tf
1 TL
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[(\n)]TJ
/F14 1 Tf
0.0056 -1.3662 Td
(2)Tj
/F16 1 Tf
-2.398 2.0975 Td
()Tj
2.9026 0 Td
()Tj
/F12 1 Tf
0.7313 -1.4116 Td
(k)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 439.2 302.0598 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 317.9905 277.9086 cm
BT
/F15 1 Tf
1 TL
0 0 Td
()Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 322.9228 275.4141 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[(\r)-9(\r)]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 331.5401 277.9086 cm
BT
/F13 1 Tf
1 TL
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()Tj
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1.0544 0 Td
()Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 346.9606 275.4141 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 355.4078 277.9086 cm
BT
/F13 1 Tf
1 TL
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()Tj
ET
Q
q
1 j
1 J
0 w
365.8961 280.6299 m
378.0283 280.6299 l
378.0283 280.2331 l
365.8961 280.2331 l
f*
10 0 0 10 365.896 284.7118 cm
BT
/F13 1 Tf
1 TL
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( )Tj
/F12 1 Tf
0.771 0 Td
(u)Tj
/F6 1 Tf
-0.4536 -1.3662 Td
[()]TJ
/F12 1 Tf
1.0602 0.6859 Td
(s)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 385.2283 275.4141 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 393.6755 277.9086 cm
BT
/F13 1 Tf
1 TL
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()Tj
/F12 1 Tf
0.9921 0 Td
(ay)Tj
/F13 1 Tf
15.9873 1.4626 Td
()Tj
/F5 1 Tf
[()]TJ
/F13 1 Tf
()Tj
/F5 1 Tf
-36.3455 -4.0477 Td
[()8()4(\r)]TJ
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1.7178 0 Td
[()]TJ
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[(3)]TJ
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[(\n)]TJ
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[(;)]TJ
1.5307 0 Td
[()3( )]TJ
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[(\n)-4()4()]TJ
1.474 0 Td
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3.4753 0 Td
[()11()]TJ
1.0091 0 Td
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[()4()1()12(\n)-5()-4()]TJ
3.0557 0 Td
[($)3( )]TJ
-14.8194 -1.2983 Td
[(<)54( )2()1()8()]TJ
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[(\n)-4()4()]TJ
1.4683 0 Td
[()2($)11()13()2( )5( )2()2()11()8( )]TJ
4.8076 0 Td
[()8()11()]TJ
1.3776 0 Td
[(\n)-4()4()]TJ
1.474 0 Td
[( )5(\n)-5()13()2( )5( )-7()2( )]TJ
3.1805 0 Td
[()8()4(\r)]TJ
1.7234 0 Td
[( )5(\n)-5()8()1()8( )]TJ
3.0726 0 Td
[()8()4(\r)]TJ
1.7235 0 Td
[()8()11()]TJ
1.3776 0 Td
[()11()4('\r)1()1()4()1()8( )2()2()11()3()-4()]TJ
6.9449 0 Td
[()4()-5()18(\n)]TJ
1.9105 0 Td
[()-1()11()4(\r)12()2()-6(\n)-5()2()11()]TJ
-32.8362 -1.3039 Td
[()2()13()1( )5( )]TJ
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1.4683 0 Td
[(\n)-4()2()2()6(,)-4()4()2( )5( )]TJ
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[()11()]TJ
1.0148 0 Td
[(\n)-4()4()]TJ
1.4683 0 Td
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2.6079 0 Td
[()-6(0)]TJ
1.2926 0 Td
[()]TJ
0.83 0.64 0.02 0 k
[()]TJ
0 g
[()]TJ
1.389 0 Td
[()-3()8()]TJ
1.6157 0 Td
[()-9()]TJ
1.1395 0 Td
[()2($)11()13()2( )5( )-7()-6(\r)]TJ
4.0761 0 Td
[()1( )]TJ
ET
Q
q
1 j
1 J
0 w
9.5 0 0 9.5 201.5433 201.8834 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
/F14 1 Tf
1.3844 0 Td
(1)Tj
/F13 1 Tf
0.7221 0 Td
()Tj
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(2)Tj
/F17 1 Tf
(C)Tj
ET
Q
q
1 j
1 J
0 w
245.1969 204.4346 m
270.4252 204.4346 l
270.4252 204.0945 l
245.1969 204.0945 l
f*
9.5 0 0 9.5 247.5779 208.3464 cm
BT
/F14 1 Tf
1 TL
0 0 Td
(1)Tj
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0.722 0 Td
()Tj
/F12 1 Tf
0.9966 0 Td
(u)Tj
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(1)Tj
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( )Tj
/F14 1 Tf
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(2)Tj
/F12 1 Tf
(u)Tj
/F16 1 Tf
-5.6572 2.1005 Td
()Tj
6.5941 0 Td
()Tj
ET
Q
q
1 j
1 J
0 w
278.9291 204.4346 m
289.1339 204.4346 l
289.1339 204.0945 l
278.9291 204.0945 l
f*
9.5 0 0 9.5 278.9291 208.3464 cm
BT
/F11 1 Tf
1 TL
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(@)Tj
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0.5728 0 Td
(y)Tj
/F11 1 Tf
-0.4953 -1.3665 Td
(@)Tj
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0.5729 0 Td
[()]TJ
/F13 1 Tf
0.7042 0.6862 Td
()Tj
/F6 1 Tf
1.0503 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
307.7858 204.4346 m
321.3354 204.4346 l
321.3354 204.0945 l
307.7858 204.0945 l
f*
9.5 0 0 9.5 307.7858 208.3464 cm
BT
/F11 1 Tf
1 TL
0 0 Td
(@)Tj
ET
Q
q
1 j
1 J
0 w
5.6999 0 0 5.6999 313.2283 211.8047 cm
BT
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1 TL
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(2)Tj
ET
Q
q
1 j
1 J
0 w
9.5 0 0 9.5 316.5732 208.3464 cm
BT
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(y)Tj
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(@)Tj
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[()]TJ
ET
Q
q
1 j
1 J
0 w
5.6999 0 0 5.6999 317.7637 198.1417 cm
BT
/F14 1 Tf
1 TL
0 0 Td
(2)Tj
ET
Q
q
1 j
1 J
0 w
9.5 0 0 9.5 323.433 201.8834 cm
BT
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1 TL
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()Tj
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[()]TJ
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[()]TJ
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(a)Tj
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()Tj
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(y)Tj
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1.11 0 Td
()Tj
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0.9906 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.6999 0 0 5.6999 372.6425 199.5023 cm
BT
/F14 1 Tf
1 TL
0 0 Td
(0)Tj
ET
Q
q
1 j
1 J
0 w
9.5 0 0 9.5 375.9874 201.8834 cm
BT
/F13 1 Tf
1 TL
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()Tj
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0.4833 0 Td
(o)Tj
ET
Q
q
1 j
1 J
0 w
5.6999 0 0 5.6999 387.4393 199.5023 cm
BT
/F6 1 Tf
1 TL
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[()]TJ
ET
Q
q
1 j
1 J
0 w
9.5 0 0 9.5 392.3716 201.8834 cm
BT
/F6 1 Tf
1 TL
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[()]TJ
ET
Q
q
1 j
1 J
0 w
5.6999 0 0 5.6999 396.3401 199.5023 cm
BT
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1 TL
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(0)Tj
ET
Q
q
1 j
1 J
0 w
9.5 0 0 9.5 399.685 201.8834 cm
BT
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[(\n)]TJ
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(2)Tj
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1 j
1 J
0 w
494.9291 684.6803 m
500.0315 684.6803 l
500.0315 684.2835 l
494.9291 684.2835 l
f*
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BT
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1 TL
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[()]TJ
-0.0283 -1.3662 Td
[(\n)]TJ
/F13 1 Tf
6.854 0.6859 Td
()Tj
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[(&)]TJ
/F13 1 Tf
()Tj
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[(A)25()1()13()6()]TJ
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(y)Tj
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[()3( )]TJ
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[()]TJ
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(O)Tj
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[()-6(0)]TJ
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[()]TJ
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[(")]TJ
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[(\r)1()1()4()1()8( )2()2()11()-5()2()2( )5( )]TJ
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[()1( )]TJ
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0 Tc
-31.2545 -2.6419 Td
()Tj
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(1)Tj
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()Tj
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(b)Tj
/F13 1 Tf
()Tj
ET
Q
q
1 j
1 J
0 w
286.5827 614.778 m
297.8079 614.778 l
297.8079 614.3811 l
286.5827 614.3811 l
f*
10 0 0 10 286.5826 618.8598 cm
BT
/F11 1 Tf
1 TL
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(@)Tj
/F14 1 Tf
0.6009 0.2777 Td
()Tj
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-0.0284 -0.2777 Td
(y)Tj
/F11 1 Tf
-0.4932 -1.3662 Td
(@)Tj
/F14 1 Tf
0.5216 0.153 Td
()Tj
/F6 1 Tf
0.051 -0.153 Td
[()]TJ
/F13 1 Tf
0.7484 0.6859 Td
()Tj
ET
Q
q
1 j
1 J
0 w
311.1307 614.778 m
325.8142 614.778 l
325.8142 614.3811 l
311.1307 614.3811 l
f*
10 0 0 10 311.1307 618.8598 cm
BT
/F11 1 Tf
1 TL
0 0 Td
(@)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 316.8 622.4881 cm
BT
/F14 1 Tf
1 TL
0 0 Td
(2)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 320.5984 621.6377 cm
BT
/F14 1 Tf
1 TL
0 0 Td
()Tj
/F12 1 Tf
-0.0283 -0.2777 Td
(y)Tj
/F11 1 Tf
-0.8957 -1.3663 Td
(@)Tj
/F14 1 Tf
0.5726 0.0283 Td
()Tj
/F6 1 Tf
0 -0.0283 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 322.0724 608.0881 cm
BT
/F14 1 Tf
1 TL
0 0 Td
(2)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 328.0251 612.0566 cm
BT
/F13 1 Tf
1 TL
0 0 Td
( )Tj
/F12 1 Tf
0.9977 0 Td
(b)Tj
0.703 0 Td
(l)Tj
/F14 1 Tf
0.6747 0.2777 Td
()Tj
/F12 1 Tf
-0.0284 -0.2777 Td
(y)Tj
ET
Q
q
1 j
1 J
0 w
358.6961 614.778 m
369.9213 614.778 l
369.9213 614.3811 l
358.6961 614.3811 l
f*
10 0 0 10 358.696 618.8598 cm
BT
/F11 1 Tf
1 TL
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(@)Tj
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0.5952 0.2777 Td
()Tj
/F12 1 Tf
-0.0227 -0.2777 Td
(y)Tj
/F11 1 Tf
-0.4932 -1.3662 Td
(@)Tj
/F14 1 Tf
0.5159 0.153 Td
()Tj
/F6 1 Tf
0.0567 -0.153 Td
[()]TJ
/F13 1 Tf
0.6917 0.6859 Td
()Tj
/F5 1 Tf
0.9921 0 Td
[()]TJ
/F17 1 Tf
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(O)Tj
/F13 1 Tf
()Tj
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1.0998 0.0284 Td
()Tj
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0.0057 -0.0284 Td
[()]TJ
/F13 1 Tf
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( )Tj
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(0)Tj
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(:)Tj
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(5)Tj
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()Tj
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[()]TJ
2.0579 0 Td
[($)]TJ
/F13 1 Tf
()Tj
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[()]TJ
/F17 1 Tf
1.8765 0 Td
(O)Tj
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0.6633 0.1531 Td
()Tj
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0.0567 -0.1531 Td
[()]TJ
/F13 1 Tf
0.3912 0 Td
()Tj
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(1)Tj
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1.491 0 Td
()Tj
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(l)Tj
/F14 1 Tf
0.5216 0.2778 Td
()Tj
/F12 1 Tf
-0.0227 -0.2778 Td
(y)Tj
/F13 1 Tf
0.5499 0 Td
()Tj
/F11 1 Tf
(;)Tj
/F13 1 Tf
6.2759 0 Td
()Tj
/F5 1 Tf
[(.)]TJ
/F13 1 Tf
()Tj
/F5 1 Tf
-0.014 Tc
-36.3455 -2.6078 Td
[( )-7()4()1()13()]TJ
/F12 1 Tf
0 Tc
11.9224 -2.5398 Td
(b)Tj
/F13 1 Tf
0.8278 0 Td
()Tj
/F14 1 Tf
1.0544 0 Td
(2)Tj
/F17 1 Tf
(C)Tj
ET
Q
q
1 j
1 J
0 w
358.5827 563.3008 m
385.115 563.3008 l
385.115 562.9039 l
358.5827 562.9039 l
f*
10 0 0 10 361.0771 567.3826 cm
BT
/F14 1 Tf
1 TL
0 0 Td
(1)Tj
/F13 1 Tf
0.7199 0 Td
()Tj
/F12 1 Tf
0.9978 0 Td
(u)Tj
/F14 1 Tf
-1.9671 -1.3662 Td
(1)Tj
/F13 1 Tf
0.7199 0 Td
( )Tj
/F14 1 Tf
0.9978 0 Td
(2)Tj
/F12 1 Tf
(u)Tj
/F16 1 Tf
-2.449 2.0975 Td
()Tj
3.3844 0 Td
()Tj
/F5 1 Tf
0.9808 -1.4116 Td
[()]TJ
0.4252 0 Td
[()]TJ
0.5272 0 Td
[(\r)]TJ
/F12 1 Tf
0.771 0 Td
(l)Tj
/F13 1 Tf
0.7767 0 Td
()Tj
ET
Q
q
1 j
1 J
0 w
430.4126 563.3008 m
439.8803 563.3008 l
439.8803 562.9039 l
430.4126 562.9039 l
f*
10 0 0 10 431.2629 567.3826 cm
BT
/F12 1 Tf
1 TL
0 0 Td
(y)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 436.2519 564.8881 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 430.4125 553.7196 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 436.3653 551.2251 cm
BT
/F14 1 Tf
1 TL
0 0 Td
(0)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 441.5244 560.5795 cm
BT
/F11 1 Tf
1 TL
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(:)Tj
/F13 1 Tf
12.1945 0 Td
()Tj
/F5 1 Tf
[(B)]TJ
/F13 1 Tf
()Tj
/F5 1 Tf
-35.1493 -2.948 Td
[()-6(0)]TJ
1.2926 0 Td
[()]TJ
0.83 0.64 0.02 0 k
[(.)]TJ
0 g
[()]TJ
1.3777 0 Td
[( )1()1( )]TJ
1.6951 0 Td
[( )-7()6()7()8()-6(\r)]TJ
2.7269 0 Td
[()3( )2()1()8()]TJ
2.3641 0 Td
[(\n)-4()4()]TJ
1.4683 0 Td
[()1()19()6()1()2()12(\n)]TJ
3.2995 0 Td
[(8)8()-5(,'C)22()2()6()4()6()3( )-7()11()]TJ
7.1659 0 Td
[()-11()1()2()12(\n)6('\r)1()1()-11()8()1()13()1()4()-1()]TJ
6.5876 0 Td
[( )-7()6()4()1()4()]TJ
3.1748 0 Td
[( )-3()12(\n)-4()]TJ
1.9842 0 Td
[(\r)1()3( )-7()13()1(\n)-5(')]TJ
-34.3329 -1.2982 Td
[(\()18(\n)-5()2()11()]TJ
2.6816 0 Td
[()-5()-4()2(\r)3( )]TJ
2.1883 0 Td
[(\n)-4()3()18(\n)]TJ
1.7972 0 Td
[()8()13()]TJ
1.44 0 Td
[()1()2()1()8()11()-4()]TJ
3.5092 0 Td
[()1()]TJ
1.0262 0 Td
[( )5()-5()2()-1()]TJ
2.3754 0 Td
[()]TJ
/F14 1 Tf
0.3458 0.0283 Td
()Tj
/F6 1 Tf
0 -0.0283 Td
[()]TJ
/F5 1 Tf
0.4989 0 Td
[()]TJ
0.5613 0 Td
[()8()4(\r)]TJ
1.7234 0 Td
[(\n)-5()1()4()]TJ
2.0126 0 Td
[()]TJ
/F14 1 Tf
0.2891 0.153 Td
()Tj
/F6 1 Tf
0.0567 -0.153 Td
[()]TJ
/F5 1 Tf
0.3912 0 Td
[()]TJ
0.5669 0 Td
[()]TJ
0.83 0.64 0.02 0 k
[(B)]TJ
0 g
[()]TJ
2.0863 0 Td
[(:)-4()-5()]TJ
1.4059 0 Td
[(\n)-4()4()]TJ
1.474 0 Td
[(\r)2()1()-4()7()1()18(\n)-5()7()8()2( )]TJ
4.4844 0 Td
[()8()13()]TJ
1.44 0 Td
[()13()1()6()-2()2()-1()-6(\r)]TJ
3.5659 0 Td
[()15()]TJ
-35.9203 -1.2983 Td
[(\n)-4()4()]TJ
1.4684 0 Td
[()-1()11()-4()13()2( )5()-9()11()4(\r)1()1()8()]TJ
5.998 0 Td
[(5)1()2()12(\n)6()]TJ
2.2734 0 Td
[(\r)1()1()-11()8()1()13()1()4()-1()]TJ
4.1612 0 Td
[()18()11()11()13()16($)1()3()18(\n)-5()2()11()]TJ
6.1512 0 Td
[(\n)6()]TJ
1.0261 0 Td
[()7()1(\n)]TJ
/F13 1 Tf
-19.7403 -1.9615 Td
()Tj
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(1)Tj
/F13 1 Tf
0.9921 0 Td
()Tj
/F14 1 Tf
0.9978 0 Td
(2)Tj
/F6 1 Tf
[()]TJ
/F13 1 Tf
1.491 0 Td
()Tj
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0.9921 0 Td
(b)Tj
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0.7767 0 Td
( )Tj
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0.9921 0 Td
(0)Tj
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(:)Tj
/F14 1 Tf
(5)Tj
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(l)Tj
/F6 1 Tf
[()]TJ
/F13 1 Tf
2.6872 0 Td
()Tj
/F14 1 Tf
0.2948 0.2777 Td
()Tj
/F12 1 Tf
-0.0226 -0.2777 Td
(y)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 310.9039 489.1464 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
/F13 1 Tf
()Tj
/F14 1 Tf
(1)Tj
/F6 1 Tf
0 -1.0677 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 324.4535 485.5181 cm
BT
/F13 1 Tf
1 TL
0 0 Td
( )Tj
/F6 1 Tf
0.9921 0 Td
[()]TJ
/F13 1 Tf
0.771 0 Td
()Tj
/F14 1 Tf
0.4082 0.2777 Td
()Tj
/F12 1 Tf
-0.0227 -0.2777 Td
(y)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 351.4393 489.1464 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
/F13 1 Tf
()Tj
/F14 1 Tf
(1)Tj
/F6 1 Tf
0 -1.0677 Td
[()]TJ
/F13 1 Tf
( )Tj
/F14 1 Tf
1.0299 0 Td
(1)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 364.9889 485.5181 cm
BT
/F13 1 Tf
1 TL
0 0 Td
()Tj
/F14 1 Tf
1.0204 0.2777 Td
()Tj
/F12 1 Tf
-0.0283 -0.2777 Td
(y)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 380.4094 489.1464 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
/F13 1 Tf
()Tj
/F14 1 Tf
(1)Tj
/F6 1 Tf
0 -1.0677 Td
[()]TJ
/F13 1 Tf
()Tj
/F14 1 Tf
(1)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 391.748 485.5181 cm
BT
/F13 1 Tf
1 TL
0 0 Td
()Tj
-17.8354 -1.8821 Td
()Tj
/F6 1 Tf
1.0488 0 Td
[()]TJ
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0.771 0 Td
()Tj
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0.4082 0.2721 Td
()Tj
/F12 1 Tf
-0.0227 -0.2721 Td
(y)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 240.9448 470.3244 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
0 -1.0677 Td
[()]TJ
/F13 1 Tf
( )Tj
/F14 1 Tf
1.0299 0 Td
(1)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 252.8503 466.696 cm
BT
/F13 1 Tf
1 TL
0 0 Td
()Tj
/F14 1 Tf
1.0204 0.2721 Td
()Tj
/F12 1 Tf
-0.0283 -0.2721 Td
(y)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 268.2708 470.3244 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
0 -1.0677 Td
[()]TJ
/F13 1 Tf
()Tj
/F14 1 Tf
(1)Tj
ET
Q
q
1 j
1 J
0 w
10 0 0 10 277.9653 466.696 cm
BT
/F13 1 Tf
1 TL
0 0 Td
()Tj
0.6122 0 Td
()Tj
0.9921 0 Td
()Tj
/F14 1 Tf
(1)Tj
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0.9922 0 Td
( )Tj
/F14 1 Tf
0.9978 0 Td
(2)Tj
/F6 1 Tf
[()]TJ
/F13 1 Tf
1.491 0 Td
()Tj
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0.9921 0 Td
(b)Tj
/F13 1 Tf
0.7767 0 Td
()Tj
/F14 1 Tf
0.9921 0 Td
(0)Tj
/F11 1 Tf
(:)Tj
/F14 1 Tf
(5)Tj
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(l)Tj
/F6 1 Tf
[()]TJ
/F13 1 Tf
2.6872 0 Td
()Tj
/F14 1 Tf
0.2948 0.2721 Td
()Tj
/F12 1 Tf
-0.0226 -0.2721 Td
(y)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 391.5212 470.3244 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
0 -1.0677 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 397.4173 466.696 cm
BT
/F13 1 Tf
1 TL
0 0 Td
()Tj
/F6 1 Tf
0.9977 0 Td
[()]TJ
/F13 1 Tf
1.1339 0 Td
( )Tj
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0.9978 0 Td
(0)Tj
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(:)Tj
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(5)Tj
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1.3719 0 Td
(b)Tj
0.652 0 Td
(l)Tj
/F13 1 Tf
()Tj
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0.9071 0.2721 Td
()Tj
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-0.0227 -0.2721 Td
(y)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 463.2944 470.3244 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
/F13 1 Tf
()Tj
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(1)Tj
/F6 1 Tf
0 -1.0677 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 476.844 466.696 cm
BT
/F13 1 Tf
1 TL
0 0 Td
()Tj
/F14 1 Tf
1.0204 0.2721 Td
()Tj
/F12 1 Tf
-0.0283 -0.2721 Td
(y)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 492.2645 470.3244 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
0 -1.0677 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 495.9496 466.696 cm
BT
/F13 1 Tf
1 TL
0 0 Td
()Tj
/F14 1 Tf
0.7993 0.2721 Td
()Tj
/F12 1 Tf
-0.0227 -0.2721 Td
(y)Tj
ET
Q
q
1 j
1 J
0 w
5.9998 0 0 5.9998 509.2157 470.3244 cm
BT
/F6 1 Tf
1 TL
0 0 Td
[()]TJ
/F13 1 Tf
()Tj
/F14 1 Tf
(1)Tj
/F6 1 Tf
0 -1.0677 Td
[()]TJ
ET
Q
q
1 j
1 J
0 w
10 0 0 10 522.7086 466.696 cm
BT
/F13 1 Tf
1 TL
0 0 Td
( )Tj
/F14 1 Tf
1.0204 0.2721 Td
()Tj
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-0.0227 -0.2721 Td
(y)Tj
ET
Q
q
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BT
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[()]TJ
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ET
Q
q
1 j
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BT
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(;)Tj
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[()]TJ
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ET
Q
q
1 j
1 J
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5.9998 0 0 5.9998 287.2062 446.9102 cm
BT
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1 TL
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ET
Q
q
1 j
1 J
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10 0 0 10 292.9322 443.2818 cm
BT
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[()]TJ
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[(E)]TJ
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[( )1()1( )]TJ
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[( )-7()6()7()8()-6(\r)]TJ
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[(\n)6()]TJ
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[(5)2()5()2(\r)6()]TJ
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[()15()]TJ
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[(\r)2()1(5)1()2()12(\n)-5()2()11()]TJ
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[(\n)-4()4()]TJ
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[()4()11()-5()1()1()4()-5()8()]TJ
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[(\n)-4()4()1()-4()4()-9()5()-2()1( )5(\n)-5()2()]TJ
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[(\r)-2()8()19()11()1()8()]TJ
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[()3( )]TJ
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[()-5()7()8()1()]TJ
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[()15()]TJ
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[()]TJ
0.83 0.64 0.02 0 k
[(")]TJ
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[()]TJ
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[(D)]TJ
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[()]TJ
ET
Q
q
1 j
1 J
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5.9998 0 0 5.9998 278.0787 370.5448 cm
BT
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(1)Tj
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ET
Q
q
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BT
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Q
q
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10 0 0 10 305.6881 373.2094 cm
BT
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(2)Tj
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Q
q
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315.0992 369.0709 m
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10 0 0 10 315.0992 373.2094 cm
BT
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Q
q
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1 J
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345.1465 369.0709 m
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f*
10 0 0 10 347.9244 373.2094 cm
BT
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(2)Tj
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Q
q
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357.3354 369.0709 m
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[()]TJ
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Q
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5.9998 0 0 5.9998 368.5606 362.4377 cm
BT
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ET
Q
q
1 j
1 J
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BT
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ET
Q
q
1 j
1 J
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5.9998 0 0 5.9998 377.1779 362.4377 cm
BT
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1 TL
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ET
Q
q
1 j
1 J
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10 0 0 10 380.6362 359.5464 cm
BT
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(I)Tj
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ET
Q
q
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1 J
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BT
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ET
Q
q
1 j
1 J
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10 0 0 10 411.0236 366.4062 cm
BT
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[(F)-3()]TJ
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ET
Q
q
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1 J
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5.9998 0 0 5.9998 430.7527 363.9118 cm
BT
/F6 1 Tf
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ET
Q
q
1 j
1 J
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BT
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ET
Q
q
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1 J
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5.9998 0 0 5.9998 460.4598 370.5448 cm
BT
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1 TL
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ET
Q
q
1 j
1 J
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BT
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7.4999 0 0 6.6659 557.6881 334.6582 cm
BT
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Q
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1 j
1 J
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10 0 0 10 566.022 330.2362 cm
BT
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2.7155 0 Td
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ET
Q
q
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BT
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(0)Tj
ET
Q
q
1 j
1 J
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BT
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ET
Q
q
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1 J
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5.9998 0 0 5.9998 503.6031 320.2582 cm
BT
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Q
q
1 j
1 J
0 w
10 0 0 10 507.1181 316.5732 cm
BT
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[()8()8()11()13()1()4()1()19(\n)-5()2()11()4()-6(\r)]TJ
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[()]TJ
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4.558 0 Td
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4.0761 0 Td
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[(\r)1()3( )5( )2()12()-5()18(\n)-5()2()11()]TJ
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[()-11()8()4()-9( )8()11()5(,)]TJ
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2.3641 0 Td
[(\))]TJ
ET
Q
q
1 j
1 J
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6.9998 0 0 6.9998 232.5543 277.1716 cm
BT
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ET
Q
q
1 j
1 J
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10 0 0 10 256.5354 277.1716 cm
BT
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[()]TJ
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1.44 0 Td
[()11()13()2( )-7()1()19(\n)6()-6(\r)]TJ
4.0875 0 Td
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ET
Q
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11.9999 0 0 11.9999 200.0125 247.9181 cm
BT
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Q
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1 j
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10 0 0 10 200.0125 230.9102 cm
BT
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[()]TJ
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[( )1()1( )]TJ
1.7008 0 Td
[()8()3()-4()7(\()-2()-6(\r)]TJ
3.702 0 Td
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[()22()-5()2()1()23('9)-19()1()-4()4()11()-5()-5()1()]TJ
6.3836 0 Td
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2.4095 0 Td
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1.0148 0 Td
[()-11()7()8()]TJ
1.6497 0 Td
[(\r)1()1()-11()8()1()13()1()19(\n)]TJ
3.6284 0 Td
[()3()18(\n)6()1()-4()-2()-4()3( -)]TJ
4.0875 0 Td
[(0)10()-2()8()-10(\n)-2(\()]TJ
-34.7525 -1.2982 Td
[( )2()-5()1()2()-1()11()]TJ
3.033 0 Td
[(\r)1()-2()8()4()11()4(\r')1()-5(,)10()]TJ
5.5899 0 Td
[()-3()8()-1()-9()11()]TJ
2.982 0 Td
[()9(G)6(8)]TJ
3.0444 0 Td
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4.6034 0 Td
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[()1()4()]TJ
1.7802 0 Td
[()3()18(\n)6()1()-4()-2()-4()3( )]TJ
3.8721 0 Td
[( )8()1()13()]TJ
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2.9934 0 Td
[(\n)6()]TJ
1.0204 0 Td
[( )5()-5()8()]TJ
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[(\n)-4()4()]TJ
1.4683 0 Td
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1.0092 0 Td
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q
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%!PS-AdobeFont-1.0
%%This font is a conversion from Helvetica-BoldOblique with the following copyright notice:
%Copyright (c) 1985, 1987, 1989, 1990 Adobe Systems Incorporated. All Rights Reserved.Helvetica is a trademark of Linotype AG and/or its subsidiaries.
11 dict begin
/FontName /Helvetica-BoldOblique def
/FontType 1 def
/FontBBox {-166 -218 1114 770} readonly def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/PaintType 0 def
/FontInfo 8 dict dup begin
/FullName (Helvetica-BoldOblique) readonly def
/BaseFontName (Helvetica-BoldOblique) def
/Notice (Copyright \(c\) 1985, 1987, 1989, 1990 Adobe Systems Incorporated. All Rights Reserved.Helvetica is a trademark of Linotype AG and/or its subsidiaries.) readonly def
end def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 32 /space put
dup 33 /exclam put
dup 34 /quotedbl put
dup 35 /numbersign put
dup 36 /dollar put
dup 37 /percent put
dup 38 /ampersand put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 42 /asterisk put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 59 /semicolon put
dup 60 /less put
dup 61 /equal put
dup 62 /greater put
dup 63 /question put
dup 64 /at put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
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dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 91 /bracketleft put
dup 92 /backslash put
dup 93 /bracketright put
dup 94 /asciicircum put
dup 95 /underscore put
dup 96 /quoteleft put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /braceleft put
dup 124 /bar put
dup 125 /braceright put
dup 126 /asciitilde put
dup 161 /exclamdown put
dup 162 /cent put
dup 163 /sterling put
dup 164 /fraction put
dup 165 /yen put
dup 166 /florin put
dup 167 /section put
dup 168 /currency put
dup 169 /quotesingle put
dup 170 /quotedblleft put
dup 171 /guillemotleft put
dup 172 /guilsinglleft put
dup 173 /guilsinglright put
dup 174 /fi put
dup 175 /fl put
dup 177 /endash put
dup 178 /dagger put
dup 179 /daggerdbl put
dup 180 /periodcentered put
dup 182 /paragraph put
dup 183 /bullet put
dup 184 /quotesinglbase put
dup 185 /quotedblbase put
dup 186 /quotedblright put
dup 187 /guillemotright put
dup 188 /ellipsis put
dup 189 /perthousand put
dup 191 /questiondown put
dup 193 /grave put
dup 194 /acute put
dup 195 /circumflex put
dup 196 /tilde put
dup 197 /macron put
dup 198 /breve put
dup 199 /dotaccent put
dup 200 /dieresis put
dup 202 /ring put
dup 203 /cedilla put
dup 205 /hungarumlaut put
dup 206 /ogonek put
dup 207 /caron put
dup 208 /emdash put
dup 225 /AE put
dup 227 /ordfeminine put
dup 232 /Lslash put
dup 233 /Oslash put
dup 234 /OE put
dup 235 /ordmasculine put
dup 241 /ae put
dup 245 /dotlessi put
dup 248 /lslash put
dup 249 /oslash put
dup 250 /oe put
dup 251 /germandbls put
readonly def
currentdict end
currentfile eexec
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