├── report.pdf ├── Codes ├── cos16x.fig ├── Error Bound │ ├── C.mat │ ├── Y.mat │ ├── return_error_bound.m │ └── Error.m ├── System_Solver │ ├── return_a_matrix.m │ ├── return_fvalue_vector.m │ ├── return_p_matrix.m │ ├── return_q_matrix.m │ ├── return_f_matrix.m │ ├── return_h_column_x.m │ ├── return_h_column.m │ ├── generate_j_k.m │ ├── return_operational_matrix.m │ ├── system_solver.m │ ├── u2.eps │ ├── u1.eps │ └── u3.eps ├── Single_Equation_Solver │ ├── return_a_matrix.m │ ├── return_fvalue_vector.m │ ├── return_p_matrix.m │ ├── return_f_matrix.m │ ├── generate_j_k.m │ ├── return_h_column.m │ ├── return_operational_matrix.m │ ├── differential_solver.m │ └── lalu.eps └── approx.m └── README.md /report.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sethuiyer/FDE-Solver/HEAD/report.pdf -------------------------------------------------------------------------------- /Codes/cos16x.fig: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sethuiyer/FDE-Solver/HEAD/Codes/cos16x.fig -------------------------------------------------------------------------------- /Codes/Error Bound/C.mat: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sethuiyer/FDE-Solver/HEAD/Codes/Error Bound/C.mat -------------------------------------------------------------------------------- /Codes/Error Bound/Y.mat: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/sethuiyer/FDE-Solver/HEAD/Codes/Error Bound/Y.mat -------------------------------------------------------------------------------- /Codes/System_Solver/return_a_matrix.m: -------------------------------------------------------------------------------- 1 | function [ A ] = return_a_matrix( f,k ) 2 | v=[]; 3 | for i=1:k 4 | v=[v,f((2*i-1)/(2*k))]; 5 | end 6 | 7 | A=diag(v); 8 | 9 | end 10 | 11 | -------------------------------------------------------------------------------- /Codes/Error Bound/return_error_bound.m: -------------------------------------------------------------------------------- 1 | function [ E ] = return_error_bound(M,k,m,alpha ) 2 | 3 | E=M/(gamma(alpha)*gamma(m-alpha)*alpha*(m-alpha)*((1-2^(2*(alpha-m)))^(1/2))*(k^(m-alpha))); 4 | end 5 | 6 | -------------------------------------------------------------------------------- /Codes/Single_Equation_Solver/return_a_matrix.m: -------------------------------------------------------------------------------- 1 | function [ A ] = return_a_matrix( f,k ) 2 | v=[]; 3 | for i=1:k 4 | v=[v,f((2*i-1)/(2*k))]; 5 | end 6 | 7 | A=diag(v); 8 | 9 | end 10 | 11 | -------------------------------------------------------------------------------- /Codes/System_Solver/return_fvalue_vector.m: -------------------------------------------------------------------------------- 1 | function [ fvalue ] = return_fvalue_vector( f,k) 2 | fvalue=[]; 3 | 4 | for i=1:k 5 | fvalue=[fvalue;f(((2*i-1)/(2*k)))]; 6 | end 7 | 8 | end 9 | 10 | -------------------------------------------------------------------------------- /Codes/Single_Equation_Solver/return_fvalue_vector.m: -------------------------------------------------------------------------------- 1 | function [ fvalue ] = return_fvalue_vector( f,k) 2 | fvalue=[]; 3 | 4 | for i=1:k 5 | fvalue=[fvalue;f(((2*i-1)/(2*k)))]; 6 | end 7 | 8 | end 9 | 10 | -------------------------------------------------------------------------------- /Codes/System_Solver/return_p_matrix.m: -------------------------------------------------------------------------------- 1 | function [ P ] = return_p_matrix( alpha,k ) 2 | P=[]; 3 | H=return_operational_matrix(k,0); 4 | F=return_f_matrix(alpha,k); 5 | P=H*F; 6 | P=P/H; 7 | 8 | end 9 | 10 | -------------------------------------------------------------------------------- /Codes/Single_Equation_Solver/return_p_matrix.m: -------------------------------------------------------------------------------- 1 | function [ P ] = return_p_matrix( alpha,k ) 2 | P=[]; 3 | H=return_operational_matrix(k,0); 4 | F=return_f_matrix(alpha,k); 5 | P=H*F; 6 | P=P/H; 7 | 8 | end 9 | 10 | -------------------------------------------------------------------------------- /Codes/System_Solver/return_q_matrix.m: -------------------------------------------------------------------------------- 1 | function [ Q ] = return_q_matrix( k ) 2 | Q=[]; 3 | if k == 1 4 | Q=1/2; 5 | else 6 | Q=[2*k*return_q_matrix(k/2),-return_operational_matrix(k/2,0);inv(-return_operational_matrix(k/2,0)),zeros(k/2)]/2; 7 | end 8 | 9 | -------------------------------------------------------------------------------- /Codes/System_Solver/return_f_matrix.m: -------------------------------------------------------------------------------- 1 | function [ F ] = return_f_matrix( alpha,k ) 2 | e=@(x)(((x+1)^(alpha+1))-(2*x^(alpha+1))+((x-1)^(alpha+1))); 3 | F=eye(k); 4 | 5 | for i=1:k 6 | for j=(i+1):k 7 | F(i,j)=e(j-i); 8 | end 9 | end 10 | 11 | F=F./(k^alpha); 12 | F=F./(gamma(alpha+2)); 13 | 14 | end 15 | 16 | -------------------------------------------------------------------------------- /Codes/System_Solver/return_h_column_x.m: -------------------------------------------------------------------------------- 1 | function [ H ] = return_h_column_x( x,k ) 2 | 3 | f=@(x,j,k) ((x<((0.5+k)/2^j))&&(x>=(k/2^j)))-(x<((1+k)/2^j)&&(x>=((0.5+k)/2^j))); 4 | [J K]=generate_j_k(k-1); 5 | H=1; 6 | 7 | for j=1:k-1 8 | H=[H;((2^(J(j)/2))*f(x,J(j),K(j)))]; 9 | end 10 | end 11 | 12 | -------------------------------------------------------------------------------- /Codes/Single_Equation_Solver/return_f_matrix.m: -------------------------------------------------------------------------------- 1 | function [ F ] = return_f_matrix( alpha,k ) 2 | e=@(x)(((x+1)^(alpha+1))-(2*x^(alpha+1))+((x-1)^(alpha+1))); 3 | F=eye(k); 4 | 5 | for i=1:k 6 | for j=(i+1):k 7 | F(i,j)=e(j-i); 8 | end 9 | end 10 | 11 | F=F./(k^alpha); 12 | F=F./(gamma(alpha+2)); 13 | 14 | end 15 | 16 | -------------------------------------------------------------------------------- /Codes/System_Solver/return_h_column.m: -------------------------------------------------------------------------------- 1 | function [ H,X ] = return_h_column( i,k ) 2 | 3 | f=@(x,j,k) ((x<((0.5+k)/2^j))&&(x>=(k/2^j)))-(x<((1+k)/2^j)&&(x>=((0.5+k)/2^j))); 4 | [J K]=generate_j_k(k-1); 5 | H=1; 6 | X=(2*i-1)/(2*(k)); 7 | for j=1:k-1 8 | H=[H;((2^(J(j)/2))*f(X,J(j),K(j)))]; 9 | end 10 | end 11 | 12 | -------------------------------------------------------------------------------- /Codes/System_Solver/generate_j_k.m: -------------------------------------------------------------------------------- 1 | function [J,K] = generate_j_k( n ) 2 | j=0;k=0;J=[];K=[]; 3 | for i=1:n 4 | k=0; 5 | while i~=2^j+k 6 | k=k+1; 7 | if k==2^j 8 | j=j+1;k=0; 9 | break 10 | end 11 | end 12 | J=[J,j]; 13 | K=[K,k]; 14 | end 15 | end 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | -------------------------------------------------------------------------------- /Codes/Single_Equation_Solver/generate_j_k.m: -------------------------------------------------------------------------------- 1 | function [J,K] = generate_j_k( n ) 2 | j=0;k=0;J=[];K=[]; 3 | for i=1:n 4 | k=0; 5 | while i~=2^j+k 6 | k=k+1; 7 | if k==2^j 8 | j=j+1;k=0; 9 | break 10 | end 11 | end 12 | J=[J,j]; 13 | K=[K,k]; 14 | end 15 | end 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | -------------------------------------------------------------------------------- /Codes/Single_Equation_Solver/return_h_column.m: -------------------------------------------------------------------------------- 1 | function [ H,X ] = return_h_column( i,k ) 2 | 3 | f=@(x,j,k) 4 | ((x<((0.5+k)/2^j))&&(x>=(k/2^j)))-(x<((1+k)/2^j)&&(x>=((0.5+k)/2^j))); 5 | [J K]=generate_j_k(k-1); 6 | H=1; 7 | X=(2*i-1)/(2*(k)); 8 | for j=1:k-1 9 | H=[H;((2^(J(j)/2))*f(X,J(j),K(j)))]; 10 | end 11 | 12 | 13 | 14 | 15 | end 16 | 17 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # FDE-Solver 2 | Solves Fractional Differential Equations numerically using Haar wavelets. Things Implemented are : 3 | 4 | 1. Signal Approximation using Haar Wavelets 5 | 2. Single Equation Solver 6 | 3. System of Equations Solver 7 | 4. Error bound of the Approximation 8 | 9 | 10 | Written in MATLAB from scratch. Ideas taken from [this paper](http://www.sciencedirect.com/science/article/pii/S1877750312000452). 11 | -------------------------------------------------------------------------------- /Codes/System_Solver/return_operational_matrix.m: -------------------------------------------------------------------------------- 1 | function [ H ] = return_operational_matrix( k,flag) 2 | H=[]; 3 | f=@(x,j,k) ((x<((0.5+k)/2^j))&&(x>=(k/2^j)))-(x<((1+k)/2^j)&&(x>=((0.5+k)/2^j))); 4 | [J K]=generate_j_k(k-1); 5 | for i=(1-flag):(k-flag) 6 | h=1; 7 | for j=1:k-1 8 | h=[h;((2^(J(j)/2))*f(((2*i-1)/(2*(k-flag))),J(j),K(j)))]; 9 | end 10 | H=[H,h]; 11 | end 12 | end 13 | 14 | -------------------------------------------------------------------------------- /Codes/Single_Equation_Solver/return_operational_matrix.m: -------------------------------------------------------------------------------- 1 | function [ H ] = return_operational_matrix( k,flag) 2 | H=[]; 3 | f=@(x,j,k) 4 | ((x<((0.5+k)/2^j))&&(x>=(k/2^j)))-(x<((1+k)/2^j)&&(x>=((0.5+k)/2^j))); 5 | [J K]=generate_j_k(k-1); 6 | for i=(1-flag):(k-flag) 7 | h=1; 8 | for j=1:k-1 9 | h=[h;((2^(J(j)/2))*f(((2*i-1)/(2*(k-flag))),J(j),K(j)))]; 10 | end 11 | H=[H,h]; 12 | end 13 | end 14 | 15 | -------------------------------------------------------------------------------- /Codes/Error Bound/Error.m: -------------------------------------------------------------------------------- 1 | k=8;l=2;m=1;alpha=1/4; 2 | Q=return_operational_matrix(k,0); 3 | C=sym('c',[1 k]); 4 | Y=load('Y'); 5 | Y=Y.Y; 6 | 7 | LHS=[]; 8 | for i=1:k 9 | LHS=[LHS,C*Q*return_h_column(i,k)]; 10 | end 11 | 12 | [c1 c2 c3 c4 c5 c6 c7 c8] = vpasolve(Y==LHS,C) 13 | 14 | c1=double(c1); 15 | c2=double(c2); 16 | c3=double(c3); 17 | c4=double(c4); 18 | c5=double(c5); 19 | c6=double(c6); 20 | c7=double(c7); 21 | c8=double(c8); 22 | 23 | C=[c1,c2,c3,c4,c5,c6,c7,c8]; 24 | 25 | Z=[]; 26 | for i=1:l 27 | Z=[Z,C*return_h_column_x((i-1)/(l),k)]; 28 | end 29 | 30 | E=return_error_bound(max(Z),k,m,alpha); 31 | 32 | -------------------------------------------------------------------------------- /Codes/approx.m: -------------------------------------------------------------------------------- 1 | %-- Functional approximation using haar wavelets --% 2 | function [ap,z,err] = approx() 3 | tic 4 | [wl,x]=wpfun('db1',63); 5 | 6 | %-- wl is 63 X 130 matrix now --% 7 | y=x; 8 | %-- this is the function to approximate --% 9 | for i=1:63 10 | g=y.*wl(i,:); 11 | s=sum(g(1:length(x))); 12 | c(i)=s/length(x); 13 | end 14 | %-- calculating --% 15 | ap=0; 16 | for i=1:63 17 | ap=ap+c(i).*wl(i,:); 18 | end 19 | %-- f(x) = summation i from 0 to k-1 ci * hi --% 20 | z=x; 21 | plot(x,ap); hold on; plot(x,y); xlabel('x'); ylabel('y'); 22 | 23 | %-- compare the approximation --% 24 | 25 | err=sqrt(abs((ap-y).*(ap-y))); 26 | %-- computes the error --% 27 | toc 28 | print -deps lalu9 29 | end -------------------------------------------------------------------------------- /Codes/Single_Equation_Solver/differential_solver.m: -------------------------------------------------------------------------------- 1 | 2 | alpha=1/4;k=8; 3 | af=@(x) x^(1/3); 4 | ff=@(x) (3/(2*gamma(2/3)))*x^(2/3)+x^(4/3); 5 | A=return_a_matrix(af,k); 6 | F=return_fvalue_vector(ff,k); 7 | F=F'; 8 | H=return_operational_matrix(k,0); 9 | P=return_p_matrix(alpha,k); 10 | 11 | 12 | E=P*H; 13 | E=E*A; 14 | E=E+H; 15 | 16 | C=F/E; 17 | 18 | Y=[];X=[]; 19 | for i=1:k 20 | [h,x]=return_h_column(i,k); 21 | y=C*P*h; 22 | X=[X,x]; 23 | Y=[Y,y]; 24 | end 25 | q=0:.05:1; 26 | NY=interp1(X,Y,q); 27 | plot(q,NY); 28 | 29 | % Y=[]; 30 | % C=load('C.mat'); 31 | % C=C.C; 32 | % PE=return_p_matrix(alpha,1024); 33 | % 34 | % for i=1:k 35 | % h=return_h_column_x((2*i-1)/(2*k),1024); 36 | % y=C*PE*h; 37 | % Y=[Y,y]; 38 | % end 39 | 40 | 41 | 42 | 43 | 44 | 45 | 46 | -------------------------------------------------------------------------------- /Codes/System_Solver/system_solver.m: -------------------------------------------------------------------------------- 1 | k=4; 2 | alpha=3; 3 | f1=@(x,u1,u2,u3) 2*u2^2; 4 | f2=@(x,u1,u2,u3) x*u1; 5 | f3=@(x,u1,u2,u3) u2*u3; 6 | 7 | A=sym('a',[1 k]); 8 | B=sym('b',[1 k]); 9 | C=sym('c',[1 k]); 10 | 11 | P=return_p_matrix(alpha,k); 12 | 13 | LHSA=[]; 14 | for i=1:k 15 | LHSA=[LHSA;A*return_h_column(i,k)]; 16 | end 17 | 18 | LHSB=[]; 19 | for i=1:k 20 | LHSB=[LHSB;B*return_h_column(i,k)+1]; 21 | end 22 | 23 | LHSC=[]; 24 | for i=1:k 25 | LHSC=[LHSC;C*return_h_column(i,k)+1]; 26 | end 27 | 28 | RHSA=[]; 29 | RHSB=[]; 30 | RHSC=[]; 31 | for i=1:k 32 | 33 | JB=A*P*return_h_column(i,k); 34 | JC=B*P*return_h_column(i,k); 35 | JD=C*P*return_h_column(i,k); 36 | J1=f1((2*i-1)/(2*k),JB,JC,JD); 37 | J2=f2((2*i-1)/(2*k),JB,JC,JD); 38 | J3=f3((2*i-1)/(2*k),JB,JC,JD); 39 | RHSA=[RHSA;J1]; 40 | RHSB=[RHSB;J2]; 41 | RHSC=[RHSC;J3]; 42 | end 43 | 44 | LHS=[LHSA;LHSB;LHSC]; 45 | RHS=[RHSA;RHSB;RHSC]; 46 | 47 | EQN=[]; 48 | for i=1:3*k 49 | EQN=[EQN,LHS(i)==RHS(i)]; 50 | end 51 | 52 | VAR=[A,B,C]; 53 | 54 | [a1,a2,a3,a4,b1,b2,b3,b4,c1,c2,c3,c4]=vpasolve(EQN,VAR); 55 | [wl,x]=wpfun('db1',k); 56 | PK=wl(0,:)*a1(0)+wl(1,:)*a2(0)+wl(2,:)*a3(0)+wl(4,:)*a4(0); 57 | plot(x,pk); 58 | -------------------------------------------------------------------------------- /Codes/System_Solver/u2.eps: -------------------------------------------------------------------------------- 1 | %!PS-Adobe-3.0 EPSF-3.0 2 | %%Creator: (MATLAB, The Mathworks, Inc. 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429 | 0 GC 430 | 2 setlinecap 431 | 10.0 ML 432 | N 433 | 278.5 513 M 434 | 278.5 507.05 L 435 | S 436 | GR 437 | GS 438 | [0.75 0 0 0.75 0 0] CT 439 | 0 GC 440 | 2 setlinecap 441 | 10.0 ML 442 | N 443 | 338 513 M 444 | 338 507.05 L 445 | S 446 | GR 447 | GS 448 | [0.75 0 0 0.75 0 0] CT 449 | 0 GC 450 | 2 setlinecap 451 | 10.0 ML 452 | N 453 | 397.5 513 M 454 | 397.5 507.05 L 455 | S 456 | GR 457 | GS 458 | [0.75 0 0 0.75 0 0] CT 459 | 0 GC 460 | 2 setlinecap 461 | 10.0 ML 462 | N 463 | 457 513 M 464 | 457 507.05 L 465 | S 466 | GR 467 | GS 468 | [0.75 0 0 0.75 0 0] CT 469 | 0 GC 470 | 2 setlinecap 471 | 10.0 ML 472 | N 473 | 516.5 513 M 474 | 516.5 507.05 L 475 | S 476 | GR 477 | GS 478 | [0.75 0 0 0.75 0 0] CT 479 | 0 GC 480 | 2 setlinecap 481 | 10.0 ML 482 | N 483 | 576 513 M 484 | 576 507.05 L 485 | S 486 | GR 487 | GS 488 | [0.75 0 0 0.75 0 0] CT 489 | 0 GC 490 | 2 setlinecap 491 | 10.0 ML 492 | N 493 | 635.5 513 M 494 | 635.5 507.05 L 495 | S 496 | GR 497 | GS 498 | [0.75 0 0 0.75 0 0] CT 499 | 0 GC 500 | 2 setlinecap 501 | 10.0 ML 502 | N 503 | 695 513 M 504 | 695 507.05 L 505 | S 506 | GR 507 | GS 508 | [0.75 0 0 0.75 0 0] CT 509 | 0 GC 510 | 2 setlinecap 511 | 10.0 ML 512 | N 513 | 100 43 M 514 | 100 48.95 L 515 | S 516 | GR 517 | GS 518 | [0.75 0 0 0.75 0 0] CT 519 | 0 GC 520 | 2 setlinecap 521 | 10.0 ML 522 | N 523 | 159.5 43 M 524 | 159.5 48.95 L 525 | S 526 | GR 527 | GS 528 | [0.75 0 0 0.75 0 0] CT 529 | 0 GC 530 | 2 setlinecap 531 | 10.0 ML 532 | N 533 | 219 43 M 534 | 219 48.95 L 535 | S 536 | GR 537 | GS 538 | [0.75 0 0 0.75 0 0] CT 539 | 0 GC 540 | 2 setlinecap 541 | 10.0 ML 542 | N 543 | 278.5 43 M 544 | 278.5 48.95 L 545 | S 546 | GR 547 | GS 548 | [0.75 0 0 0.75 0 0] CT 549 | 0 GC 550 | 2 setlinecap 551 | 10.0 ML 552 | N 553 | 338 43 M 554 | 338 48.95 L 555 | S 556 | GR 557 | GS 558 | [0.75 0 0 0.75 0 0] CT 559 | 0 GC 560 | 2 setlinecap 561 | 10.0 ML 562 | N 563 | 397.5 43 M 564 | 397.5 48.95 L 565 | S 566 | GR 567 | GS 568 | [0.75 0 0 0.75 0 0] CT 569 | 0 GC 570 | 2 setlinecap 571 | 10.0 ML 572 | N 573 | 457 43 M 574 | 457 48.95 L 575 | S 576 | GR 577 | GS 578 | [0.75 0 0 0.75 0 0] CT 579 | 0 GC 580 | 2 setlinecap 581 | 10.0 ML 582 | N 583 | 516.5 43 M 584 | 516.5 48.95 L 585 | S 586 | GR 587 | GS 588 | [0.75 0 0 0.75 0 0] CT 589 | 0 GC 590 | 2 setlinecap 591 | 10.0 ML 592 | N 593 | 576 43 M 594 | 576 48.95 L 595 | S 596 | GR 597 | GS 598 | [0.75 0 0 0.75 0 0] CT 599 | 0 GC 600 | 2 setlinecap 601 | 10.0 ML 602 | N 603 | 635.5 43 M 604 | 635.5 48.95 L 605 | S 606 | GR 607 | GS 608 | [0.75 0 0 0.75 0 0] CT 609 | 0 GC 610 | 2 setlinecap 611 | 10.0 ML 612 | N 613 | 695 43 M 614 | 695 48.95 L 615 | S 616 | GR 617 | GS 618 | [0.75 0 0 0.75 75 388.74998] CT 619 | 0 GC 620 | /Helvetica 13 F 621 | GS 622 | [1 0 0 1 0 0] CT 623 | -4.5 13 moveto 624 | 1 -1 scale 625 | (0) t 626 | GR 627 | GR 628 | GS 629 | [0.75 0 0 0.75 119.625 388.74998] CT 630 | 0 GC 631 | /Helvetica 13 F 632 | GS 633 | [1 0 0 1 0 0] CT 634 | -10.5 13 moveto 635 | 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0 0 0.75 387.375 388.74998] CT 696 | 0 GC 697 | /Helvetica 13 F 698 | GS 699 | [1 0 0 1 0 0] CT 700 | -10.5 13 moveto 701 | 1 -1 scale 702 | (0.7) t 703 | GR 704 | GR 705 | GS 706 | [0.75 0 0 0.75 432 388.74998] CT 707 | 0 GC 708 | /Helvetica 13 F 709 | GS 710 | [1 0 0 1 0 0] CT 711 | -10.5 13 moveto 712 | 1 -1 scale 713 | (0.8) t 714 | GR 715 | GR 716 | GS 717 | [0.75 0 0 0.75 476.625 388.74998] CT 718 | 0 GC 719 | /Helvetica 13 F 720 | GS 721 | [1 0 0 1 0 0] CT 722 | -10.5 13 moveto 723 | 1 -1 scale 724 | (0.9) t 725 | GR 726 | GR 727 | GS 728 | [0.75 0 0 0.75 521.25 388.74998] CT 729 | 0 GC 730 | /Helvetica 13 F 731 | GS 732 | [1 0 0 1 0 0] CT 733 | -4.5 13 moveto 734 | 1 -1 scale 735 | (1) t 736 | GR 737 | GR 738 | GS 739 | [0.75 0 0 0.75 0 0] CT 740 | 0 GC 741 | 2 setlinecap 742 | 10.0 ML 743 | N 744 | 100 513 M 745 | 100 43 L 746 | S 747 | GR 748 | GS 749 | [0.75 0 0 0.75 0 0] CT 750 | 0 GC 751 | 2 setlinecap 752 | 10.0 ML 753 | N 754 | 695 513 M 755 | 695 43 L 756 | S 757 | GR 758 | GS 759 | [0.75 0 0 0.75 0 0] CT 760 | 0 GC 761 | 2 setlinecap 762 | 10.0 ML 763 | N 764 | 100 513 M 765 | 105.95 513 L 766 | S 767 | GR 768 | GS 769 | [0.75 0 0 0.75 0 0] CT 770 | 0 GC 771 | 2 setlinecap 772 | 10.0 ML 773 | N 774 | 100 434.667 M 775 | 105.95 434.667 L 776 | S 777 | GR 778 | GS 779 | [0.75 0 0 0.75 0 0] CT 780 | 0 GC 781 | 2 setlinecap 782 | 10.0 ML 783 | N 784 | 100 356.333 M 785 | 105.95 356.333 L 786 | S 787 | GR 788 | GS 789 | [0.75 0 0 0.75 0 0] CT 790 | 0 GC 791 | 2 setlinecap 792 | 10.0 ML 793 | N 794 | 100 278 M 795 | 105.95 278 L 796 | S 797 | GR 798 | GS 799 | [0.75 0 0 0.75 0 0] CT 800 | 0 GC 801 | 2 setlinecap 802 | 10.0 ML 803 | N 804 | 100 199.667 M 805 | 105.95 199.667 L 806 | S 807 | GR 808 | GS 809 | [0.75 0 0 0.75 0 0] CT 810 | 0 GC 811 | 2 setlinecap 812 | 10.0 ML 813 | N 814 | 100 121.333 M 815 | 105.95 121.333 L 816 | S 817 | GR 818 | GS 819 | [0.75 0 0 0.75 0 0] CT 820 | 0 GC 821 | 2 setlinecap 822 | 10.0 ML 823 | N 824 | 100 43 M 825 | 105.95 43 L 826 | S 827 | GR 828 | GS 829 | [0.75 0 0 0.75 0 0] CT 830 | 0 GC 831 | 2 setlinecap 832 | 10.0 ML 833 | N 834 | 695 513 M 835 | 689.05 513 L 836 | S 837 | GR 838 | GS 839 | [0.75 0 0 0.75 0 0] CT 840 | 0 GC 841 | 2 setlinecap 842 | 10.0 ML 843 | N 844 | 695 434.667 M 845 | 689.05 434.667 L 846 | S 847 | GR 848 | GS 849 | [0.75 0 0 0.75 0 0] CT 850 | 0 GC 851 | 2 setlinecap 852 | 10.0 ML 853 | N 854 | 695 356.333 M 855 | 689.05 356.333 L 856 | S 857 | GR 858 | GS 859 | [0.75 0 0 0.75 0 0] CT 860 | 0 GC 861 | 2 setlinecap 862 | 10.0 ML 863 | N 864 | 695 278 M 865 | 689.05 278 L 866 | S 867 | GR 868 | GS 869 | [0.75 0 0 0.75 0 0] CT 870 | 0 GC 871 | 2 setlinecap 872 | 10.0 ML 873 | N 874 | 695 199.667 M 875 | 689.05 199.667 L 876 | S 877 | GR 878 | GS 879 | [0.75 0 0 0.75 0 0] CT 880 | 0 GC 881 | 2 setlinecap 882 | 10.0 ML 883 | N 884 | 695 121.333 M 885 | 689.05 121.333 L 886 | S 887 | GR 888 | GS 889 | [0.75 0 0 0.75 0 0] CT 890 | 0 GC 891 | 2 setlinecap 892 | 10.0 ML 893 | N 894 | 695 43 M 895 | 689.05 43 L 896 | S 897 | GR 898 | GS 899 | [0.75 0 0 0.75 71 384.75] CT 900 | 0 GC 901 | /Helvetica 13 F 902 | GS 903 | [1 0 0 1 0 0] CT 904 | -22 4.5 moveto 905 | 1 -1 scale 906 | (-10) t 907 | GR 908 | GR 909 | GS 910 | [0.75 0 0 0.75 71 325.99999] CT 911 | 0 GC 912 | /Helvetica 13 F 913 | GS 914 | [1 0 0 1 0 0] CT 915 | -9 4.5 moveto 916 | 1 -1 scale 917 | (0) t 918 | GR 919 | GR 920 | GS 921 | [0.75 0 0 0.75 71 267.25001] CT 922 | 0 GC 923 | /Helvetica 13 F 924 | GS 925 | [1 0 0 1 0 0] CT 926 | -17 4.5 moveto 927 | 1 -1 scale 928 | (10) t 929 | GR 930 | GR 931 | GS 932 | [0.75 0 0 0.75 71 208.5] CT 933 | 0 GC 934 | /Helvetica 13 F 935 | GS 936 | [1 0 0 1 0 0] CT 937 | -17 4.5 moveto 938 | 1 -1 scale 939 | (20) t 940 | GR 941 | GR 942 | GS 943 | [0.75 0 0 0.75 71 149.75] CT 944 | 0 GC 945 | /Helvetica 13 F 946 | GS 947 | [1 0 0 1 0 0] CT 948 | -17 4.5 moveto 949 | 1 -1 scale 950 | (30) t 951 | GR 952 | GR 953 | GS 954 | [0.75 0 0 0.75 71 91] CT 955 | 0 GC 956 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442.44 L 1008 | 229.147 442.44 L 1009 | 233.76 442.44 L 1010 | 238.372 442.44 L 1011 | 242.984 442.44 L 1012 | 247.597 442.44 L 1013 | 252.209 442.44 L 1014 | 256.822 442.44 L 1015 | 261.434 442.44 L 1016 | 266.047 442.44 L 1017 | 270.659 442.44 L 1018 | 275.271 442.44 L 1019 | 279.884 442.44 L 1020 | 284.496 442.44 L 1021 | 289.109 442.44 L 1022 | 293.721 442.44 L 1023 | 298.333 442.44 L 1024 | 302.946 442.44 L 1025 | 307.558 442.44 L 1026 | 312.171 442.44 L 1027 | 316.783 442.44 L 1028 | 321.395 442.44 L 1029 | 326.008 442.44 L 1030 | S 1031 | GR 1032 | GS 1033 | [0.75 0 0 0.75 0 0] CT 1034 | 0 GC 1035 | 2 LJ 1036 | N 1037 | 326.008 442.44 M 1038 | 330.62 442.44 L 1039 | 335.233 442.44 L 1040 | 339.845 442.44 L 1041 | 344.457 442.44 L 1042 | 349.07 442.44 L 1043 | 353.682 442.44 L 1044 | 358.295 442.44 L 1045 | 362.907 442.44 L 1046 | 367.519 442.44 L 1047 | 372.132 442.44 L 1048 | 376.744 442.44 L 1049 | 381.357 442.44 L 1050 | 385.969 442.44 L 1051 | 390.581 442.44 L 1052 | 395.194 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EPSF-3.0 2 | %%Creator: (MATLAB, The Mathworks, Inc. Version 8.5.0.197613 \(R2015a\). Operating System: Linux) 3 | %%Title: ./u1.eps 4 | %%CreationDate: 2015-11-25T21:40:48 5 | %%Pages: (atend) 6 | %%BoundingBox: (atend) 7 | %%LanguageLevel: 3 8 | %%EndComments 9 | %%BeginProlog 10 | %%BeginResource: procset (Apache XML Graphics Std ProcSet) 1.2 0 11 | %%Version: 1.2 0 12 | %%Copyright: (Copyright 2001-2003,2010 The Apache Software Foundation. License terms: http://www.apache.org/licenses/LICENSE-2.0) 13 | /bd{bind def}bind def 14 | /ld{load def}bd 15 | /GR/grestore ld 16 | /M/moveto ld 17 | /LJ/setlinejoin ld 18 | /C/curveto ld 19 | /f/fill ld 20 | /LW/setlinewidth ld 21 | /GC/setgray ld 22 | /t/show ld 23 | /N/newpath ld 24 | /CT/concat ld 25 | /cp/closepath ld 26 | /S/stroke ld 27 | /L/lineto ld 28 | /CC/setcmykcolor ld 29 | /A/ashow ld 30 | /GS/gsave ld 31 | /RC/setrgbcolor ld 32 | /RM/rmoveto ld 33 | /ML/setmiterlimit ld 34 | /re {4 2 roll M 35 | 1 index 0 rlineto 36 | 0 exch rlineto 37 | neg 0 rlineto 38 | cp } bd 39 | /_ctm matrix def 40 | /_tm matrix def 41 | /BT { _ctm currentmatrix pop matrix _tm copy pop 0 0 moveto } bd 42 | /ET { _ctm setmatrix } bd 43 | /iTm { _ctm setmatrix _tm concat } bd 44 | /Tm { _tm astore pop iTm 0 0 moveto } bd 45 | /ux 0.0 def 46 | /uy 0.0 def 47 | /F { 48 | /Tp exch def 49 | /Tf exch def 50 | Tf findfont Tp scalefont setfont 51 | /cf Tf def /cs Tp def 52 | } bd 53 | /ULS {currentpoint /uy exch def /ux exch def} bd 54 | /ULE { 55 | /Tcx currentpoint pop def 56 | gsave 57 | newpath 58 | cf findfont cs scalefont dup 59 | /FontMatrix get 0 get /Ts exch def /FontInfo get dup 60 | /UnderlinePosition get Ts mul /To exch def 61 | /UnderlineThickness get Ts mul /Tt exch def 62 | ux uy To add moveto Tcx uy To add lineto 63 | Tt setlinewidth stroke 64 | grestore 65 | } bd 66 | /OLE { 67 | /Tcx currentpoint pop def 68 | gsave 69 | newpath 70 | cf findfont cs scalefont dup 71 | /FontMatrix get 0 get /Ts exch def /FontInfo get dup 72 | /UnderlinePosition get Ts mul /To exch def 73 | /UnderlineThickness get Ts mul /Tt exch def 74 | ux uy To add cs add moveto Tcx uy To add cs add lineto 75 | Tt setlinewidth stroke 76 | grestore 77 | } bd 78 | /SOE { 79 | /Tcx currentpoint pop def 80 | gsave 81 | newpath 82 | cf findfont cs scalefont dup 83 | /FontMatrix get 0 get /Ts exch def /FontInfo get dup 84 | /UnderlinePosition get Ts mul /To exch def 85 | /UnderlineThickness get Ts mul /Tt exch def 86 | ux uy To add cs 10 mul 26 idiv add moveto Tcx uy To add cs 10 mul 26 idiv add lineto 87 | Tt setlinewidth stroke 88 | grestore 89 | } bd 90 | /QT { 91 | /Y22 exch store 92 | /X22 exch store 93 | /Y21 exch store 94 | /X21 exch store 95 | currentpoint 96 | /Y21 load 2 mul add 3 div exch 97 | /X21 load 2 mul add 3 div exch 98 | /X21 load 2 mul /X22 load add 3 div 99 | /Y21 load 2 mul /Y22 load add 3 div 100 | /X22 load /Y22 load curveto 101 | } bd 102 | /SSPD { 103 | dup length /d exch dict def 104 | { 105 | /v exch def 106 | /k exch def 107 | currentpagedevice k known { 108 | /cpdv currentpagedevice k get def 109 | v cpdv ne { 110 | /upd false def 111 | /nullv v type /nulltype eq def 112 | /nullcpdv cpdv type /nulltype eq def 113 | nullv nullcpdv or 114 | { 115 | /upd true def 116 | } { 117 | /sametype v type cpdv type eq def 118 | sametype { 119 | v type /arraytype eq { 120 | /vlen v length def 121 | /cpdvlen cpdv length def 122 | vlen cpdvlen eq { 123 | 0 1 vlen 1 sub { 124 | /i exch def 125 | /obj v i get def 126 | /cpdobj cpdv i get def 127 | obj cpdobj ne { 128 | /upd true def 129 | exit 130 | } if 131 | } for 132 | } { 133 | /upd true def 134 | } ifelse 135 | } { 136 | v type /dicttype eq { 137 | v { 138 | /dv exch def 139 | /dk exch def 140 | /cpddv cpdv dk get def 141 | dv cpddv ne { 142 | /upd true def 143 | exit 144 | } if 145 | } forall 146 | } { 147 | /upd true def 148 | } ifelse 149 | } ifelse 150 | } if 151 | } ifelse 152 | upd true eq { 153 | d k v put 154 | } if 155 | } if 156 | } if 157 | } forall 158 | d length 0 gt { 159 | d setpagedevice 160 | } if 161 | } bd 162 | %%EndResource 163 | %%BeginResource: procset (Apache XML Graphics EPS ProcSet) 1.0 0 164 | %%Version: 1.0 0 165 | %%Copyright: (Copyright 2002-2003 The Apache Software Foundation. License terms: http://www.apache.org/licenses/LICENSE-2.0) 166 | /BeginEPSF { %def 167 | /b4_Inc_state save def % Save state for cleanup 168 | /dict_count countdictstack def % Count objects on dict stack 169 | /op_count count 1 sub def % Count objects on operand stack 170 | userdict begin % Push userdict on dict stack 171 | /showpage { } def % Redefine showpage, { } = null proc 172 | 0 setgray 0 setlinecap % Prepare graphics state 173 | 1 setlinewidth 0 setlinejoin 174 | 10 setmiterlimit [ ] 0 setdash newpath 175 | /languagelevel where % If level not equal to 1 then 176 | {pop languagelevel % set strokeadjust and 177 | 1 ne % overprint to their defaults. 178 | {false setstrokeadjust false setoverprint 179 | } if 180 | } if 181 | } bd 182 | /EndEPSF { %def 183 | count op_count sub {pop} repeat % Clean up stacks 184 | countdictstack dict_count sub {end} repeat 185 | b4_Inc_state restore 186 | } bd 187 | %%EndResource 188 | %FOPBeginFontDict 189 | %%IncludeResource: font Courier-Bold 190 | %%IncludeResource: font Helvetica 191 | %%IncludeResource: font Courier-BoldOblique 192 | %%IncludeResource: font Courier-Oblique 193 | %%IncludeResource: font Times-Roman 194 | %%IncludeResource: font Helvetica-BoldOblique 195 | %%IncludeResource: font Helvetica-Bold 196 | %%IncludeResource: font Helvetica-Oblique 197 | %%IncludeResource: font Times-BoldItalic 198 | %%IncludeResource: font Courier 199 | %%IncludeResource: font Times-Italic 200 | %%IncludeResource: font Times-Bold 201 | %%IncludeResource: font Symbol 202 | %%IncludeResource: font ZapfDingbats 203 | %FOPEndFontDict 204 | %%BeginResource: encoding WinAnsiEncoding 205 | /WinAnsiEncoding [ 206 | /.notdef /.notdef /.notdef /.notdef /.notdef 207 | /.notdef /.notdef /.notdef /.notdef /.notdef 208 | /.notdef /.notdef /.notdef /.notdef /.notdef 209 | /.notdef /.notdef /.notdef /.notdef /.notdef 210 | /.notdef /.notdef /.notdef /.notdef /.notdef 211 | /.notdef /.notdef /.notdef /.notdef /.notdef 212 | /.notdef /.notdef /space /exclam /quotedbl 213 | /numbersign /dollar /percent /ampersand /quotesingle 214 | /parenleft /parenright /asterisk /plus /comma 215 | /hyphen /period /slash /zero /one 216 | /two /three /four /five /six 217 | /seven /eight /nine /colon /semicolon 218 | /less /equal /greater /question /at 219 | /A /B /C /D /E 220 | /F /G /H /I /J 221 | /K /L /M /N /O 222 | /P /Q /R /S /T 223 | /U /V /W /X /Y 224 | /Z /bracketleft /backslash /bracketright /asciicircum 225 | /underscore /quoteleft /a /b /c 226 | /d /e /f /g /h 227 | /i /j /k /l /m 228 | /n /o /p /q /r 229 | /s /t /u /v /w 230 | /x /y /z /braceleft /bar 231 | /braceright /asciitilde /bullet /Euro /bullet 232 | /quotesinglbase /florin /quotedblbase /ellipsis /dagger 233 | /daggerdbl /circumflex /perthousand /Scaron /guilsinglleft 234 | /OE /bullet /Zcaron /bullet /bullet 235 | /quoteleft /quoteright /quotedblleft /quotedblright /bullet 236 | /endash /emdash /asciitilde /trademark /scaron 237 | /guilsinglright /oe /bullet /zcaron /Ydieresis 238 | /space /exclamdown /cent /sterling /currency 239 | /yen /brokenbar /section /dieresis /copyright 240 | /ordfeminine /guillemotleft /logicalnot /sfthyphen /registered 241 | /macron /degree /plusminus /twosuperior /threesuperior 242 | /acute /mu /paragraph /middot /cedilla 243 | /onesuperior /ordmasculine /guillemotright /onequarter /onehalf 244 | /threequarters /questiondown /Agrave /Aacute /Acircumflex 245 | /Atilde /Adieresis /Aring /AE /Ccedilla 246 | /Egrave /Eacute /Ecircumflex /Edieresis /Igrave 247 | /Iacute /Icircumflex /Idieresis /Eth /Ntilde 248 | /Ograve /Oacute /Ocircumflex /Otilde /Odieresis 249 | /multiply /Oslash /Ugrave /Uacute /Ucircumflex 250 | /Udieresis /Yacute /Thorn /germandbls /agrave 251 | /aacute /acircumflex /atilde /adieresis /aring 252 | /ae /ccedilla /egrave /eacute /ecircumflex 253 | /edieresis /igrave /iacute /icircumflex /idieresis 254 | /eth /ntilde /ograve /oacute /ocircumflex 255 | /otilde /odieresis /divide /oslash /ugrave 256 | /uacute /ucircumflex /udieresis /yacute /thorn 257 | /ydieresis 258 | ] def 259 | %%EndResource 260 | %FOPBeginFontReencode 261 | /Courier-Bold findfont 262 | dup length dict begin 263 | {1 index /FID ne {def} {pop pop} ifelse} forall 264 | /Encoding WinAnsiEncoding def 265 | currentdict 266 | end 267 | /Courier-Bold exch definefont pop 268 | /Helvetica findfont 269 | dup length dict begin 270 | {1 index /FID ne {def} {pop pop} ifelse} forall 271 | /Encoding WinAnsiEncoding def 272 | currentdict 273 | end 274 | /Helvetica exch definefont pop 275 | /Courier-BoldOblique findfont 276 | dup length dict begin 277 | {1 index /FID ne {def} {pop pop} ifelse} forall 278 | /Encoding WinAnsiEncoding def 279 | currentdict 280 | end 281 | /Courier-BoldOblique exch definefont pop 282 | /Courier-Oblique findfont 283 | dup length dict begin 284 | {1 index /FID ne {def} {pop pop} ifelse} forall 285 | /Encoding WinAnsiEncoding def 286 | currentdict 287 | end 288 | /Courier-Oblique exch definefont pop 289 | /Times-Roman findfont 290 | dup length dict begin 291 | {1 index /FID ne {def} {pop pop} ifelse} forall 292 | /Encoding WinAnsiEncoding def 293 | currentdict 294 | end 295 | /Times-Roman exch definefont pop 296 | /Helvetica-BoldOblique findfont 297 | dup length dict begin 298 | {1 index /FID ne {def} {pop pop} ifelse} forall 299 | /Encoding WinAnsiEncoding def 300 | currentdict 301 | end 302 | /Helvetica-BoldOblique exch definefont pop 303 | /Helvetica-Bold findfont 304 | dup length dict begin 305 | {1 index /FID ne {def} {pop pop} ifelse} forall 306 | /Encoding WinAnsiEncoding def 307 | currentdict 308 | end 309 | /Helvetica-Bold exch definefont pop 310 | /Helvetica-Oblique findfont 311 | dup length dict begin 312 | {1 index /FID ne {def} {pop pop} ifelse} forall 313 | /Encoding WinAnsiEncoding def 314 | currentdict 315 | end 316 | /Helvetica-Oblique exch definefont pop 317 | /Times-BoldItalic findfont 318 | dup length dict begin 319 | {1 index /FID ne {def} {pop pop} ifelse} forall 320 | /Encoding WinAnsiEncoding def 321 | currentdict 322 | end 323 | /Times-BoldItalic exch definefont pop 324 | /Courier findfont 325 | dup length dict begin 326 | {1 index /FID ne {def} {pop pop} ifelse} forall 327 | /Encoding WinAnsiEncoding def 328 | currentdict 329 | end 330 | /Courier exch definefont pop 331 | /Times-Italic findfont 332 | dup length dict begin 333 | {1 index /FID ne {def} {pop pop} ifelse} forall 334 | /Encoding WinAnsiEncoding def 335 | currentdict 336 | end 337 | /Times-Italic exch definefont pop 338 | /Times-Bold findfont 339 | dup length dict begin 340 | {1 index /FID ne {def} {pop pop} ifelse} forall 341 | /Encoding WinAnsiEncoding def 342 | currentdict 343 | end 344 | /Times-Bold exch definefont pop 345 | %FOPEndFontReencode 346 | %%EndProlog 347 | %%Page: 1 1 348 | %%PageBoundingBox: 0 0 576 432 349 | %%BeginPageSetup 350 | [1 0 0 -1 0 432] CT 351 | %%EndPageSetup 352 | GS 353 | [0.75 0 0 0.75 0 0] CT 354 | 0.997 GC 355 | N 356 | 0 0 768 576 re 357 | f 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-------------------------------------------------------------------------------- /Codes/System_Solver/u3.eps: -------------------------------------------------------------------------------- 1 | %!PS-Adobe-3.0 EPSF-3.0 2 | %%Creator: (MATLAB, The Mathworks, Inc. Version 8.5.0.197613 \(R2015a\). Operating System: Linux) 3 | %%Title: ./u3.eps 4 | %%CreationDate: 2015-11-25T21:41:21 5 | %%Pages: (atend) 6 | %%BoundingBox: (atend) 7 | %%LanguageLevel: 3 8 | %%EndComments 9 | %%BeginProlog 10 | %%BeginResource: procset (Apache XML Graphics Std ProcSet) 1.2 0 11 | %%Version: 1.2 0 12 | %%Copyright: (Copyright 2001-2003,2010 The Apache Software Foundation. License terms: http://www.apache.org/licenses/LICENSE-2.0) 13 | /bd{bind def}bind def 14 | /ld{load def}bd 15 | /GR/grestore ld 16 | /M/moveto ld 17 | /LJ/setlinejoin ld 18 | /C/curveto ld 19 | /f/fill ld 20 | /LW/setlinewidth ld 21 | /GC/setgray ld 22 | /t/show ld 23 | /N/newpath ld 24 | /CT/concat ld 25 | /cp/closepath ld 26 | /S/stroke ld 27 | /L/lineto ld 28 | /CC/setcmykcolor ld 29 | /A/ashow ld 30 | /GS/gsave ld 31 | /RC/setrgbcolor ld 32 | /RM/rmoveto ld 33 | /ML/setmiterlimit ld 34 | /re {4 2 roll M 35 | 1 index 0 rlineto 36 | 0 exch rlineto 37 | neg 0 rlineto 38 | cp } bd 39 | /_ctm matrix def 40 | /_tm matrix def 41 | /BT { _ctm currentmatrix pop matrix _tm copy pop 0 0 moveto } bd 42 | /ET { _ctm setmatrix } bd 43 | /iTm { _ctm setmatrix _tm concat } bd 44 | /Tm { _tm astore pop iTm 0 0 moveto } bd 45 | /ux 0.0 def 46 | /uy 0.0 def 47 | /F { 48 | /Tp exch def 49 | /Tf exch def 50 | Tf findfont Tp scalefont setfont 51 | /cf Tf def /cs Tp def 52 | } bd 53 | /ULS {currentpoint /uy exch def /ux exch def} bd 54 | /ULE { 55 | /Tcx currentpoint pop def 56 | gsave 57 | newpath 58 | cf findfont cs scalefont dup 59 | /FontMatrix get 0 get /Ts exch def /FontInfo get dup 60 | /UnderlinePosition get Ts mul /To exch def 61 | /UnderlineThickness get Ts mul /Tt exch def 62 | ux uy To add moveto Tcx uy To add lineto 63 | Tt setlinewidth stroke 64 | grestore 65 | } bd 66 | /OLE { 67 | /Tcx currentpoint pop def 68 | gsave 69 | newpath 70 | cf findfont cs scalefont dup 71 | /FontMatrix get 0 get /Ts exch def /FontInfo get dup 72 | /UnderlinePosition get Ts mul /To exch def 73 | /UnderlineThickness get Ts mul /Tt exch def 74 | ux uy To add cs add moveto Tcx uy To add cs add lineto 75 | Tt setlinewidth stroke 76 | grestore 77 | } bd 78 | /SOE { 79 | /Tcx currentpoint pop def 80 | gsave 81 | newpath 82 | cf findfont cs scalefont dup 83 | /FontMatrix get 0 get /Ts exch def /FontInfo get dup 84 | /UnderlinePosition get Ts mul /To exch def 85 | /UnderlineThickness get Ts mul /Tt exch def 86 | ux uy To add cs 10 mul 26 idiv add moveto Tcx uy To add cs 10 mul 26 idiv add lineto 87 | Tt setlinewidth stroke 88 | grestore 89 | } bd 90 | /QT { 91 | /Y22 exch store 92 | /X22 exch store 93 | /Y21 exch store 94 | /X21 exch store 95 | currentpoint 96 | /Y21 load 2 mul add 3 div exch 97 | /X21 load 2 mul add 3 div exch 98 | /X21 load 2 mul /X22 load add 3 div 99 | /Y21 load 2 mul /Y22 load add 3 div 100 | /X22 load /Y22 load curveto 101 | } bd 102 | /SSPD { 103 | dup length /d exch dict def 104 | { 105 | /v exch def 106 | /k exch def 107 | currentpagedevice k known { 108 | /cpdv currentpagedevice k get def 109 | v cpdv ne { 110 | /upd false def 111 | /nullv v type /nulltype eq def 112 | /nullcpdv cpdv type /nulltype eq def 113 | nullv nullcpdv or 114 | { 115 | /upd true def 116 | } { 117 | /sametype v type cpdv type eq def 118 | sametype { 119 | v type /arraytype eq { 120 | /vlen v length def 121 | /cpdvlen cpdv length def 122 | vlen cpdvlen eq { 123 | 0 1 vlen 1 sub { 124 | /i exch def 125 | /obj v i get def 126 | /cpdobj cpdv i get def 127 | obj cpdobj ne { 128 | /upd true def 129 | exit 130 | } if 131 | } for 132 | } { 133 | /upd true def 134 | } ifelse 135 | } { 136 | v type /dicttype eq { 137 | v { 138 | /dv exch def 139 | /dk exch def 140 | /cpddv cpdv dk get def 141 | dv cpddv ne { 142 | /upd true def 143 | exit 144 | } if 145 | } forall 146 | } { 147 | /upd true def 148 | } ifelse 149 | } ifelse 150 | } if 151 | } ifelse 152 | upd true eq { 153 | d k v put 154 | } if 155 | } if 156 | } if 157 | } forall 158 | d length 0 gt { 159 | d setpagedevice 160 | } if 161 | } bd 162 | %%EndResource 163 | %%BeginResource: procset (Apache XML Graphics EPS ProcSet) 1.0 0 164 | %%Version: 1.0 0 165 | %%Copyright: (Copyright 2002-2003 The Apache Software Foundation. License terms: http://www.apache.org/licenses/LICENSE-2.0) 166 | /BeginEPSF { %def 167 | /b4_Inc_state save def % Save state for cleanup 168 | /dict_count countdictstack def % Count objects on dict stack 169 | /op_count count 1 sub def % Count objects on operand stack 170 | userdict begin % Push userdict on dict stack 171 | /showpage { } def % Redefine showpage, { } = null proc 172 | 0 setgray 0 setlinecap % Prepare graphics state 173 | 1 setlinewidth 0 setlinejoin 174 | 10 setmiterlimit [ ] 0 setdash newpath 175 | /languagelevel where % If level not equal to 1 then 176 | {pop languagelevel % set strokeadjust and 177 | 1 ne % overprint to their defaults. 178 | {false setstrokeadjust false setoverprint 179 | } if 180 | } if 181 | } bd 182 | /EndEPSF { %def 183 | count op_count sub {pop} repeat % Clean up stacks 184 | countdictstack dict_count sub {end} repeat 185 | b4_Inc_state restore 186 | } bd 187 | %%EndResource 188 | %FOPBeginFontDict 189 | %%IncludeResource: font Courier-Bold 190 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238 | /space /exclamdown /cent /sterling /currency 239 | /yen /brokenbar /section /dieresis /copyright 240 | /ordfeminine /guillemotleft /logicalnot /sfthyphen /registered 241 | /macron /degree /plusminus /twosuperior /threesuperior 242 | /acute /mu /paragraph /middot /cedilla 243 | /onesuperior /ordmasculine /guillemotright /onequarter /onehalf 244 | /threequarters /questiondown /Agrave /Aacute /Acircumflex 245 | /Atilde /Adieresis /Aring /AE /Ccedilla 246 | /Egrave /Eacute /Ecircumflex /Edieresis /Igrave 247 | /Iacute /Icircumflex /Idieresis /Eth /Ntilde 248 | /Ograve /Oacute /Ocircumflex /Otilde /Odieresis 249 | /multiply /Oslash /Ugrave /Uacute /Ucircumflex 250 | /Udieresis /Yacute /Thorn /germandbls /agrave 251 | /aacute /acircumflex /atilde /adieresis /aring 252 | /ae /ccedilla /egrave /eacute /ecircumflex 253 | /edieresis /igrave /iacute /icircumflex /idieresis 254 | /eth /ntilde /ograve /oacute /ocircumflex 255 | /otilde /odieresis /divide /oslash /ugrave 256 | /uacute 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0 0 0.75 387.375 388.74998] CT 696 | 0 GC 697 | /Helvetica 13 F 698 | GS 699 | [1 0 0 1 0 0] CT 700 | -10.5 13 moveto 701 | 1 -1 scale 702 | (0.7) t 703 | GR 704 | GR 705 | GS 706 | [0.75 0 0 0.75 432 388.74998] CT 707 | 0 GC 708 | /Helvetica 13 F 709 | GS 710 | [1 0 0 1 0 0] CT 711 | -10.5 13 moveto 712 | 1 -1 scale 713 | (0.8) t 714 | GR 715 | GR 716 | GS 717 | [0.75 0 0 0.75 476.625 388.74998] CT 718 | 0 GC 719 | /Helvetica 13 F 720 | GS 721 | [1 0 0 1 0 0] CT 722 | -10.5 13 moveto 723 | 1 -1 scale 724 | (0.9) t 725 | GR 726 | GR 727 | GS 728 | [0.75 0 0 0.75 521.25 388.74998] CT 729 | 0 GC 730 | /Helvetica 13 F 731 | GS 732 | [1 0 0 1 0 0] CT 733 | -4.5 13 moveto 734 | 1 -1 scale 735 | (1) t 736 | GR 737 | GR 738 | GS 739 | [0.75 0 0 0.75 0 0] CT 740 | 0 GC 741 | 2 setlinecap 742 | 10.0 ML 743 | N 744 | 100 513 M 745 | 100 43 L 746 | S 747 | GR 748 | GS 749 | [0.75 0 0 0.75 0 0] CT 750 | 0 GC 751 | 2 setlinecap 752 | 10.0 ML 753 | N 754 | 695 513 M 755 | 695 43 L 756 | S 757 | GR 758 | GS 759 | [0.75 0 0 0.75 0 0] CT 760 | 0 GC 761 | 2 setlinecap 762 | 10.0 ML 763 | N 764 | 100 513 M 765 | 105.95 513 L 766 | S 767 | GR 768 | GS 769 | [0.75 0 0 0.75 0 0] CT 770 | 0 GC 771 | 2 setlinecap 772 | 10.0 ML 773 | N 774 | 100 460.778 M 775 | 105.95 460.778 L 776 | S 777 | GR 778 | GS 779 | [0.75 0 0 0.75 0 0] CT 780 | 0 GC 781 | 2 setlinecap 782 | 10.0 ML 783 | N 784 | 100 408.556 M 785 | 105.95 408.556 L 786 | S 787 | GR 788 | GS 789 | [0.75 0 0 0.75 0 0] CT 790 | 0 GC 791 | 2 setlinecap 792 | 10.0 ML 793 | N 794 | 100 356.333 M 795 | 105.95 356.333 L 796 | S 797 | GR 798 | GS 799 | [0.75 0 0 0.75 0 0] CT 800 | 0 GC 801 | 2 setlinecap 802 | 10.0 ML 803 | N 804 | 100 304.111 M 805 | 105.95 304.111 L 806 | S 807 | GR 808 | GS 809 | [0.75 0 0 0.75 0 0] CT 810 | 0 GC 811 | 2 setlinecap 812 | 10.0 ML 813 | N 814 | 100 251.889 M 815 | 105.95 251.889 L 816 | S 817 | GR 818 | GS 819 | [0.75 0 0 0.75 0 0] CT 820 | 0 GC 821 | 2 setlinecap 822 | 10.0 ML 823 | N 824 | 100 199.667 M 825 | 105.95 199.667 L 826 | S 827 | GR 828 | GS 829 | [0.75 0 0 0.75 0 0] CT 830 | 0 GC 831 | 2 setlinecap 832 | 10.0 ML 833 | N 834 | 100 147.444 M 835 | 105.95 147.444 L 836 | S 837 | GR 838 | GS 839 | [0.75 0 0 0.75 0 0] CT 840 | 0 GC 841 | 2 setlinecap 842 | 10.0 ML 843 | N 844 | 100 95.222 M 845 | 105.95 95.222 L 846 | S 847 | GR 848 | GS 849 | [0.75 0 0 0.75 0 0] CT 850 | 0 GC 851 | 2 setlinecap 852 | 10.0 ML 853 | N 854 | 100 43 M 855 | 105.95 43 L 856 | S 857 | GR 858 | GS 859 | [0.75 0 0 0.75 0 0] CT 860 | 0 GC 861 | 2 setlinecap 862 | 10.0 ML 863 | N 864 | 695 513 M 865 | 689.05 513 L 866 | S 867 | GR 868 | GS 869 | [0.75 0 0 0.75 0 0] CT 870 | 0 GC 871 | 2 setlinecap 872 | 10.0 ML 873 | N 874 | 695 460.778 M 875 | 689.05 460.778 L 876 | S 877 | GR 878 | GS 879 | [0.75 0 0 0.75 0 0] CT 880 | 0 GC 881 | 2 setlinecap 882 | 10.0 ML 883 | N 884 | 695 408.556 M 885 | 689.05 408.556 L 886 | S 887 | GR 888 | GS 889 | [0.75 0 0 0.75 0 0] CT 890 | 0 GC 891 | 2 setlinecap 892 | 10.0 ML 893 | N 894 | 695 356.333 M 895 | 689.05 356.333 L 896 | S 897 | GR 898 | GS 899 | [0.75 0 0 0.75 0 0] CT 900 | 0 GC 901 | 2 setlinecap 902 | 10.0 ML 903 | N 904 | 695 304.111 M 905 | 689.05 304.111 L 906 | S 907 | GR 908 | GS 909 | [0.75 0 0 0.75 0 0] CT 910 | 0 GC 911 | 2 setlinecap 912 | 10.0 ML 913 | N 914 | 695 251.889 M 915 | 689.05 251.889 L 916 | S 917 | GR 918 | GS 919 | [0.75 0 0 0.75 0 0] CT 920 | 0 GC 921 | 2 setlinecap 922 | 10.0 ML 923 | N 924 | 695 199.667 M 925 | 689.05 199.667 L 926 | S 927 | GR 928 | GS 929 | [0.75 0 0 0.75 0 0] CT 930 | 0 GC 931 | 2 setlinecap 932 | 10.0 ML 933 | N 934 | 695 147.444 M 935 | 689.05 147.444 L 936 | S 937 | GR 938 | GS 939 | [0.75 0 0 0.75 0 0] CT 940 | 0 GC 941 | 2 setlinecap 942 | 10.0 ML 943 | N 944 | 695 95.222 M 945 | 689.05 95.222 L 946 | S 947 | GR 948 | GS 949 | [0.75 0 0 0.75 0 0] CT 950 | 0 GC 951 | 2 setlinecap 952 | 10.0 ML 953 | N 954 | 695 43 M 955 | 689.05 43 L 956 | S 957 | GR 958 | GS 959 | [0.75 0 0 0.75 71 384.75] CT 960 | 0 GC 961 | /Helvetica 13 F 962 | GS 963 | [1 0 0 1 0 0] CT 964 | -13 4.5 moveto 965 | 1 -1 scale 966 | (-1) t 967 | GR 968 | GR 969 | GS 970 | [0.75 0 0 0.75 71 345.58333] CT 971 | 0 GC 972 | /Helvetica 13 F 973 | GS 974 | [1 0 0 1 0 0] CT 975 | -26 4.5 moveto 976 | 1 -1 scale 977 | (-0.5) t 978 | GR 979 | GR 980 | GS 981 | [0.75 0 0 0.75 71 306.41666] CT 982 | 0 GC 983 | /Helvetica 13 F 984 | GS 985 | [1 0 0 1 0 0] CT 986 | -9 4.5 moveto 987 | 1 -1 scale 988 | (0) t 989 | GR 990 | GR 991 | GS 992 | [0.75 0 0 0.75 71 267.25001] CT 993 | 0 GC 994 | /Helvetica 13 F 995 | GS 996 | [1 0 0 1 0 0] CT 997 | -21 4.5 moveto 998 | 1 -1 scale 999 | (0.5) t 1000 | GR 1001 | GR 1002 | GS 1003 | [0.75 0 0 0.75 71 228.08334] CT 1004 | 0 GC 1005 | /Helvetica 13 F 1006 | GS 1007 | [1 0 0 1 0 0] CT 1008 | -9 4.5 moveto 1009 | 1 -1 scale 1010 | (1) t 1011 | GR 1012 | GR 1013 | GS 1014 | [0.75 0 0 0.75 71 188.91666] CT 1015 | 0 GC 1016 | /Helvetica 13 F 1017 | GS 1018 | [1 0 0 1 0 0] CT 1019 | -21 4.5 moveto 1020 | 1 -1 scale 1021 | (1.5) t 1022 | GR 1023 | GR 1024 | GS 1025 | [0.75 0 0 0.75 71 149.75] CT 1026 | 0 GC 1027 | /Helvetica 13 F 1028 | GS 1029 | [1 0 0 1 0 0] CT 1030 | -9 4.5 moveto 1031 | 1 -1 scale 1032 | (2) t 1033 | GR 1034 | GR 1035 | GS 1036 | [0.75 0 0 0.75 71 110.58333] CT 1037 | 0 GC 1038 | /Helvetica 13 F 1039 | GS 1040 | [1 0 0 1 0 0] CT 1041 | -21 4.5 moveto 1042 | 1 -1 scale 1043 | (2.5) t 1044 | GR 1045 | GR 1046 | GS 1047 | [0.75 0 0 0.75 71 71.41667] CT 1048 | 0 GC 1049 | /Helvetica 13 F 1050 | GS 1051 | [1 0 0 1 0 0] CT 1052 | -9 4.5 moveto 1053 | 1 -1 scale 1054 | (3) t 1055 | GR 1056 | GR 1057 | GS 1058 | [0.75 0 0 0.75 71 32.25] CT 1059 | 0 GC 1060 | /Helvetica 13 F 1061 | GS 1062 | [1 0 0 1 0 0] CT 1063 | -21 4.5 moveto 1064 | 1 -1 scale 1065 | (3.5) t 1066 | GR 1067 | GR 1068 | GS 1069 | [0.75 0 0 0.75 0 0] CT 1070 | 0 GC 1071 | 2 LJ 1072 | N 1073 | 100 408.556 M 1074 | 104.612 506.901 L 1075 | 109.225 506.901 L 1076 | 113.837 506.901 L 1077 | 118.45 506.901 L 1078 | 123.062 506.901 L 1079 | 127.674 506.901 L 1080 | 132.287 506.901 L 1081 | 136.899 506.901 L 1082 | 141.512 506.901 L 1083 | 146.124 506.901 L 1084 | 150.736 506.901 L 1085 | 155.349 506.901 L 1086 | 159.961 506.901 L 1087 | 164.574 506.901 L 1088 | 169.186 506.901 L 1089 | 173.798 506.901 L 1090 | 178.411 506.901 L 1091 | 183.023 506.901 L 1092 | 187.636 506.901 L 1093 | 192.248 506.901 L 1094 | 196.86 506.901 L 1095 | 201.473 506.901 L 1096 | 206.085 506.901 L 1097 | 210.698 506.901 L 1098 | 215.31 506.901 L 1099 | 219.922 506.901 L 1100 | 224.535 506.901 L 1101 | 229.147 506.901 L 1102 | 233.76 506.901 L 1103 | 238.372 506.901 L 1104 | 242.984 506.901 L 1105 | 247.597 506.901 L 1106 | 252.209 506.901 L 1107 | 256.822 506.901 L 1108 | 261.434 506.901 L 1109 | 266.047 506.901 L 1110 | 270.659 506.901 L 1111 | 275.271 506.901 L 1112 | 279.884 506.901 L 1113 | 284.496 506.901 L 1114 | 289.109 506.901 L 1115 | 293.721 506.901 L 1116 | 298.333 506.901 L 1117 | 302.946 506.901 L 1118 | 307.558 506.901 L 1119 | 312.171 506.901 L 1120 | 316.783 506.901 L 1121 | 321.395 506.901 L 1122 | 326.008 506.901 L 1123 | S 1124 | GR 1125 | GS 1126 | [0.75 0 0 0.75 0 0] CT 1127 | 0 GC 1128 | 2 LJ 1129 | N 1130 | 326.008 506.901 M 1131 | 330.62 506.901 L 1132 | 335.233 506.901 L 1133 | 339.845 506.901 L 1134 | 344.457 506.901 L 1135 | 349.07 506.901 L 1136 | 353.682 506.901 L 1137 | 358.295 506.901 L 1138 | 362.907 506.901 L 1139 | 367.519 506.901 L 1140 | 372.132 506.901 L 1141 | 376.744 506.901 L 1142 | 381.357 506.901 L 1143 | 385.969 506.901 L 1144 | 390.581 506.901 L 1145 | 395.194 506.901 L 1146 | 399.806 48.131 L 1147 | 404.419 48.131 L 1148 | 409.031 48.131 L 1149 | 413.643 48.131 L 1150 | 418.256 48.131 L 1151 | 422.868 48.131 L 1152 | 427.481 48.131 L 1153 | 432.093 48.131 L 1154 | 436.705 48.131 L 1155 | 441.318 48.131 L 1156 | 445.93 48.131 L 1157 | 450.543 48.131 L 1158 | 455.155 48.131 L 1159 | 459.767 48.131 L 1160 | 464.38 48.131 L 1161 | 468.992 48.131 L 1162 | 473.605 48.131 L 1163 | 478.217 48.131 L 1164 | 482.829 48.131 L 1165 | 487.442 48.131 L 1166 | 492.054 48.131 L 1167 | 496.667 48.131 L 1168 | 501.279 48.131 L 1169 | 505.891 48.131 L 1170 | 510.504 48.131 L 1171 | 515.116 48.131 L 1172 | 519.729 48.131 L 1173 | 524.341 48.131 L 1174 | 528.953 48.131 L 1175 | 533.566 48.131 L 1176 | 538.178 48.131 L 1177 | 542.791 48.131 L 1178 | 547.403 48.131 L 1179 | 552.016 48.131 L 1180 | S 1181 | GR 1182 | GS 1183 | [0.75 0 0 0.75 0 0] CT 1184 | 0 GC 1185 | 2 LJ 1186 | N 1187 | 552.016 48.131 M 1188 | 556.628 48.131 L 1189 | 561.24 48.131 L 1190 | 565.853 48.131 L 1191 | 570.465 48.131 L 1192 | 575.078 48.131 L 1193 | 579.69 48.131 L 1194 | 584.302 48.131 L 1195 | 588.915 48.131 L 1196 | 593.527 48.131 L 1197 | 598.14 48.131 L 1198 | 602.752 48.131 L 1199 | 607.364 48.131 L 1200 | 611.977 48.131 L 1201 | 616.589 48.131 L 1202 | 621.202 48.131 L 1203 | 625.814 48.131 L 1204 | 630.426 48.131 L 1205 | 635.039 48.131 L 1206 | 639.651 48.131 L 1207 | 644.264 48.131 L 1208 | 648.876 48.131 L 1209 | 653.488 48.131 L 1210 | 658.101 48.131 L 1211 | 662.713 48.131 L 1212 | 667.326 48.131 L 1213 | 671.938 48.131 L 1214 | 676.55 48.131 L 1215 | 681.163 48.131 L 1216 | 685.775 48.131 L 1217 | 690.388 48.131 L 1218 | 695 408.556 L 1219 | S 1220 | GR 1221 | %%Trailer 1222 | %%BoundingBox: 51 31 524 405 1223 | %%Pages: 1 1224 | %%EOF 1225 | -------------------------------------------------------------------------------- /Codes/Single_Equation_Solver/lalu.eps: -------------------------------------------------------------------------------- 1 | %!PS-Adobe-3.0 EPSF-3.0 2 | %%Creator: (MATLAB, The Mathworks, Inc. Version 8.5.0.197613 \(R2015a\). Operating System: Linux) 3 | %%Title: ./lalu.eps 4 | %%CreationDate: 2015-11-25T19:21:12 5 | %%Pages: (atend) 6 | %%BoundingBox: (atend) 7 | %%LanguageLevel: 3 8 | %%EndComments 9 | %%BeginProlog 10 | %%BeginResource: procset (Apache XML Graphics Std ProcSet) 1.2 0 11 | %%Version: 1.2 0 12 | %%Copyright: (Copyright 2001-2003,2010 The Apache Software Foundation. License terms: http://www.apache.org/licenses/LICENSE-2.0) 13 | /bd{bind def}bind def 14 | /ld{load def}bd 15 | /GR/grestore ld 16 | /M/moveto ld 17 | /LJ/setlinejoin ld 18 | /C/curveto ld 19 | /f/fill ld 20 | /LW/setlinewidth ld 21 | /GC/setgray ld 22 | /t/show ld 23 | /N/newpath ld 24 | /CT/concat ld 25 | /cp/closepath ld 26 | /S/stroke ld 27 | /L/lineto ld 28 | /CC/setcmykcolor ld 29 | /A/ashow ld 30 | /GS/gsave ld 31 | /RC/setrgbcolor ld 32 | /RM/rmoveto ld 33 | /ML/setmiterlimit ld 34 | /re {4 2 roll M 35 | 1 index 0 rlineto 36 | 0 exch rlineto 37 | neg 0 rlineto 38 | cp } bd 39 | /_ctm matrix def 40 | /_tm matrix def 41 | /BT { _ctm currentmatrix pop matrix _tm copy pop 0 0 moveto } bd 42 | /ET { _ctm setmatrix } bd 43 | /iTm { _ctm setmatrix _tm concat } bd 44 | /Tm { _tm astore pop iTm 0 0 moveto } bd 45 | /ux 0.0 def 46 | /uy 0.0 def 47 | /F { 48 | /Tp exch def 49 | /Tf exch def 50 | Tf findfont Tp scalefont setfont 51 | /cf Tf def /cs Tp def 52 | } bd 53 | /ULS {currentpoint /uy exch def /ux exch def} bd 54 | /ULE { 55 | /Tcx currentpoint pop def 56 | gsave 57 | newpath 58 | cf findfont cs scalefont dup 59 | /FontMatrix get 0 get /Ts exch def /FontInfo get dup 60 | /UnderlinePosition get Ts mul /To exch def 61 | /UnderlineThickness get Ts mul /Tt exch def 62 | ux uy To add moveto Tcx uy To add lineto 63 | Tt setlinewidth stroke 64 | grestore 65 | } bd 66 | /OLE { 67 | /Tcx currentpoint pop def 68 | gsave 69 | newpath 70 | cf findfont cs scalefont dup 71 | /FontMatrix get 0 get /Ts exch def /FontInfo get dup 72 | /UnderlinePosition get Ts mul /To exch def 73 | /UnderlineThickness get Ts mul /Tt exch def 74 | ux uy To add cs add moveto Tcx uy To add cs add lineto 75 | Tt setlinewidth stroke 76 | grestore 77 | } bd 78 | /SOE { 79 | /Tcx currentpoint pop def 80 | gsave 81 | newpath 82 | cf findfont cs scalefont dup 83 | /FontMatrix get 0 get /Ts exch def /FontInfo get dup 84 | /UnderlinePosition get Ts mul /To exch def 85 | /UnderlineThickness get Ts mul /Tt exch def 86 | ux uy To add cs 10 mul 26 idiv add moveto Tcx uy To add cs 10 mul 26 idiv add lineto 87 | Tt setlinewidth stroke 88 | grestore 89 | } bd 90 | /QT { 91 | /Y22 exch store 92 | /X22 exch store 93 | /Y21 exch store 94 | /X21 exch store 95 | currentpoint 96 | /Y21 load 2 mul add 3 div exch 97 | /X21 load 2 mul add 3 div exch 98 | /X21 load 2 mul /X22 load add 3 div 99 | /Y21 load 2 mul /Y22 load add 3 div 100 | /X22 load /Y22 load curveto 101 | } bd 102 | /SSPD { 103 | dup length /d exch dict def 104 | { 105 | /v exch def 106 | /k exch def 107 | currentpagedevice k known { 108 | /cpdv currentpagedevice k get def 109 | v cpdv ne { 110 | /upd false def 111 | /nullv v type /nulltype eq def 112 | /nullcpdv cpdv type /nulltype eq def 113 | nullv nullcpdv or 114 | { 115 | /upd true def 116 | } { 117 | /sametype v type cpdv type eq def 118 | sametype { 119 | v type /arraytype eq { 120 | /vlen v length def 121 | /cpdvlen cpdv length def 122 | vlen cpdvlen eq { 123 | 0 1 vlen 1 sub { 124 | /i exch def 125 | /obj v i get def 126 | /cpdobj cpdv i get def 127 | obj cpdobj ne { 128 | /upd true def 129 | exit 130 | } if 131 | } for 132 | } { 133 | /upd true def 134 | } ifelse 135 | } { 136 | v type /dicttype eq { 137 | v { 138 | /dv exch def 139 | /dk exch def 140 | /cpddv cpdv dk get def 141 | dv cpddv ne { 142 | /upd true def 143 | exit 144 | } if 145 | } forall 146 | } { 147 | /upd true def 148 | } ifelse 149 | } ifelse 150 | } if 151 | } ifelse 152 | upd true eq { 153 | d k v put 154 | } if 155 | } if 156 | } if 157 | } forall 158 | d length 0 gt { 159 | d setpagedevice 160 | } if 161 | } bd 162 | %%EndResource 163 | %%BeginResource: procset (Apache XML Graphics EPS ProcSet) 1.0 0 164 | %%Version: 1.0 0 165 | %%Copyright: (Copyright 2002-2003 The Apache Software Foundation. License terms: http://www.apache.org/licenses/LICENSE-2.0) 166 | /BeginEPSF { %def 167 | /b4_Inc_state save def % Save state for cleanup 168 | /dict_count countdictstack def % Count objects on dict stack 169 | /op_count count 1 sub def % Count objects on operand stack 170 | userdict begin % Push userdict on dict stack 171 | /showpage { } def % Redefine showpage, { } = null proc 172 | 0 setgray 0 setlinecap % Prepare graphics state 173 | 1 setlinewidth 0 setlinejoin 174 | 10 setmiterlimit [ ] 0 setdash newpath 175 | /languagelevel where % If level not equal to 1 then 176 | {pop languagelevel % set strokeadjust and 177 | 1 ne % overprint to their defaults. 178 | {false setstrokeadjust false setoverprint 179 | } if 180 | } if 181 | } bd 182 | /EndEPSF { %def 183 | count op_count sub {pop} repeat % Clean up stacks 184 | countdictstack dict_count sub {end} repeat 185 | b4_Inc_state restore 186 | } bd 187 | %%EndResource 188 | %FOPBeginFontDict 189 | %%IncludeResource: font Courier-Bold 190 | %%IncludeResource: font Helvetica 191 | %%IncludeResource: font Courier-BoldOblique 192 | %%IncludeResource: font Courier-Oblique 193 | %%IncludeResource: font Times-Roman 194 | %%IncludeResource: font Helvetica-BoldOblique 195 | %%IncludeResource: font Helvetica-Bold 196 | %%IncludeResource: font Helvetica-Oblique 197 | %%IncludeResource: font Times-BoldItalic 198 | %%IncludeResource: font Courier 199 | %%IncludeResource: font Times-Italic 200 | %%IncludeResource: font Times-Bold 201 | %%IncludeResource: font Symbol 202 | %%IncludeResource: font ZapfDingbats 203 | %FOPEndFontDict 204 | %%BeginResource: encoding WinAnsiEncoding 205 | /WinAnsiEncoding [ 206 | /.notdef /.notdef /.notdef /.notdef /.notdef 207 | /.notdef /.notdef /.notdef /.notdef /.notdef 208 | /.notdef /.notdef /.notdef /.notdef /.notdef 209 | /.notdef /.notdef /.notdef /.notdef /.notdef 210 | /.notdef /.notdef /.notdef /.notdef /.notdef 211 | /.notdef /.notdef /.notdef /.notdef /.notdef 212 | /.notdef /.notdef /space 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238 | /space /exclamdown /cent /sterling /currency 239 | /yen /brokenbar /section /dieresis /copyright 240 | /ordfeminine /guillemotleft /logicalnot /sfthyphen /registered 241 | /macron /degree /plusminus /twosuperior /threesuperior 242 | /acute /mu /paragraph /middot /cedilla 243 | /onesuperior /ordmasculine /guillemotright /onequarter /onehalf 244 | /threequarters /questiondown /Agrave /Aacute /Acircumflex 245 | /Atilde /Adieresis /Aring /AE /Ccedilla 246 | /Egrave /Eacute /Ecircumflex /Edieresis /Igrave 247 | /Iacute /Icircumflex /Idieresis /Eth /Ntilde 248 | /Ograve /Oacute /Ocircumflex /Otilde /Odieresis 249 | /multiply /Oslash /Ugrave /Uacute /Ucircumflex 250 | /Udieresis /Yacute /Thorn /germandbls /agrave 251 | /aacute /acircumflex /atilde /adieresis /aring 252 | /ae /ccedilla /egrave /eacute /ecircumflex 253 | /edieresis /igrave /iacute /icircumflex /idieresis 254 | /eth /ntilde /ograve /oacute /ocircumflex 255 | /otilde /odieresis /divide /oslash /ugrave 256 | /uacute 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/Times-Roman findfont 290 | dup length dict begin 291 | {1 index /FID ne {def} {pop pop} ifelse} forall 292 | /Encoding WinAnsiEncoding def 293 | currentdict 294 | end 295 | /Times-Roman exch definefont pop 296 | /Helvetica-BoldOblique findfont 297 | dup length dict begin 298 | {1 index /FID ne {def} {pop pop} ifelse} forall 299 | /Encoding WinAnsiEncoding def 300 | currentdict 301 | end 302 | /Helvetica-BoldOblique exch definefont pop 303 | /Helvetica-Bold findfont 304 | dup length dict begin 305 | {1 index /FID ne {def} {pop pop} ifelse} forall 306 | /Encoding WinAnsiEncoding def 307 | currentdict 308 | end 309 | /Helvetica-Bold exch definefont pop 310 | /Helvetica-Oblique findfont 311 | dup length dict begin 312 | {1 index /FID ne {def} {pop pop} ifelse} forall 313 | /Encoding WinAnsiEncoding def 314 | currentdict 315 | end 316 | /Helvetica-Oblique exch definefont pop 317 | /Times-BoldItalic findfont 318 | dup length dict begin 319 | {1 index /FID ne {def} {pop pop} ifelse} forall 320 | /Encoding WinAnsiEncoding def 321 | currentdict 322 | end 323 | /Times-BoldItalic exch definefont pop 324 | /Courier findfont 325 | dup length dict begin 326 | {1 index /FID ne {def} {pop pop} ifelse} forall 327 | /Encoding WinAnsiEncoding def 328 | currentdict 329 | end 330 | /Courier exch definefont pop 331 | /Times-Italic findfont 332 | dup length dict begin 333 | {1 index /FID ne {def} {pop pop} ifelse} forall 334 | /Encoding WinAnsiEncoding def 335 | currentdict 336 | end 337 | /Times-Italic exch definefont pop 338 | /Times-Bold findfont 339 | dup length dict begin 340 | {1 index /FID ne {def} {pop pop} ifelse} forall 341 | /Encoding WinAnsiEncoding def 342 | currentdict 343 | end 344 | /Times-Bold exch definefont pop 345 | %FOPEndFontReencode 346 | %%EndProlog 347 | %%Page: 1 1 348 | %%PageBoundingBox: 0 0 576 432 349 | %%BeginPageSetup 350 | [1 0 0 -1 0 432] CT 351 | %%EndPageSetup 352 | GS 353 | [0.75 0 0 0.75 0 0] CT 354 | 0.997 GC 355 | N 356 | 0 0 768 576 re 357 | f 358 | GR 359 | GS 360 | [0.75 0 0 0.75 0 0] CT 361 | 0.997 GC 362 | N 363 | 0 0 768 576 re 364 | f 365 | GR 366 | GS 367 | [0.75 0 0 0.75 0 0] CT 368 | 0.997 GC 369 | N 370 | 100 513 M 371 | 695 513 L 372 | 695 43 L 373 | 100 43 L 374 | cp 375 | f 376 | GR 377 | GS 378 | [0.75 0 0 0.75 0 0] CT 379 | 0 GC 380 | 2 setlinecap 381 | 10.0 ML 382 | N 383 | 100 513 M 384 | 695 513 L 385 | S 386 | GR 387 | GS 388 | [0.75 0 0 0.75 0 0] CT 389 | 0 GC 390 | 2 setlinecap 391 | 10.0 ML 392 | N 393 | 100 43 M 394 | 695 43 L 395 | S 396 | GR 397 | GS 398 | [0.75 0 0 0.75 0 0] CT 399 | 0 GC 400 | 2 setlinecap 401 | 10.0 ML 402 | N 403 | 100 513 M 404 | 100 507.05 L 405 | S 406 | GR 407 | GS 408 | [0.75 0 0 0.75 0 0] CT 409 | 0 GC 410 | 2 setlinecap 411 | 10.0 ML 412 | N 413 | 159.5 513 M 414 | 159.5 507.05 L 415 | S 416 | GR 417 | GS 418 | [0.75 0 0 0.75 0 0] CT 419 | 0 GC 420 | 2 setlinecap 421 | 10.0 ML 422 | N 423 | 219 513 M 424 | 219 507.05 L 425 | S 426 | GR 427 | GS 428 | [0.75 0 0 0.75 0 0] CT 429 | 0 GC 430 | 2 setlinecap 431 | 10.0 ML 432 | N 433 | 278.5 513 M 434 | 278.5 507.05 L 435 | S 436 | GR 437 | GS 438 | [0.75 0 0 0.75 0 0] CT 439 | 0 GC 440 | 2 setlinecap 441 | 10.0 ML 442 | N 443 | 338 513 M 444 | 338 507.05 L 445 | S 446 | GR 447 | GS 448 | [0.75 0 0 0.75 0 0] CT 449 | 0 GC 450 | 2 setlinecap 451 | 10.0 ML 452 | N 453 | 397.5 513 M 454 | 397.5 507.05 L 455 | S 456 | GR 457 | GS 458 | [0.75 0 0 0.75 0 0] CT 459 | 0 GC 460 | 2 setlinecap 461 | 10.0 ML 462 | N 463 | 457 513 M 464 | 457 507.05 L 465 | S 466 | GR 467 | GS 468 | [0.75 0 0 0.75 0 0] CT 469 | 0 GC 470 | 2 setlinecap 471 | 10.0 ML 472 | N 473 | 516.5 513 M 474 | 516.5 507.05 L 475 | S 476 | GR 477 | GS 478 | [0.75 0 0 0.75 0 0] CT 479 | 0 GC 480 | 2 setlinecap 481 | 10.0 ML 482 | N 483 | 576 513 M 484 | 576 507.05 L 485 | S 486 | GR 487 | GS 488 | [0.75 0 0 0.75 0 0] CT 489 | 0 GC 490 | 2 setlinecap 491 | 10.0 ML 492 | N 493 | 635.5 513 M 494 | 635.5 507.05 L 495 | S 496 | GR 497 | GS 498 | [0.75 0 0 0.75 0 0] CT 499 | 0 GC 500 | 2 setlinecap 501 | 10.0 ML 502 | N 503 | 695 513 M 504 | 695 507.05 L 505 | S 506 | GR 507 | GS 508 | [0.75 0 0 0.75 0 0] CT 509 | 0 GC 510 | 2 setlinecap 511 | 10.0 ML 512 | N 513 | 100 43 M 514 | 100 48.95 L 515 | S 516 | GR 517 | GS 518 | [0.75 0 0 0.75 0 0] CT 519 | 0 GC 520 | 2 setlinecap 521 | 10.0 ML 522 | N 523 | 159.5 43 M 524 | 159.5 48.95 L 525 | S 526 | GR 527 | GS 528 | [0.75 0 0 0.75 0 0] CT 529 | 0 GC 530 | 2 setlinecap 531 | 10.0 ML 532 | N 533 | 219 43 M 534 | 219 48.95 L 535 | S 536 | GR 537 | GS 538 | [0.75 0 0 0.75 0 0] CT 539 | 0 GC 540 | 2 setlinecap 541 | 10.0 ML 542 | N 543 | 278.5 43 M 544 | 278.5 48.95 L 545 | S 546 | GR 547 | GS 548 | [0.75 0 0 0.75 0 0] CT 549 | 0 GC 550 | 2 setlinecap 551 | 10.0 ML 552 | N 553 | 338 43 M 554 | 338 48.95 L 555 | S 556 | GR 557 | GS 558 | [0.75 0 0 0.75 0 0] CT 559 | 0 GC 560 | 2 setlinecap 561 | 10.0 ML 562 | N 563 | 397.5 43 M 564 | 397.5 48.95 L 565 | S 566 | GR 567 | GS 568 | [0.75 0 0 0.75 0 0] CT 569 | 0 GC 570 | 2 setlinecap 571 | 10.0 ML 572 | N 573 | 457 43 M 574 | 457 48.95 L 575 | S 576 | GR 577 | GS 578 | [0.75 0 0 0.75 0 0] CT 579 | 0 GC 580 | 2 setlinecap 581 | 10.0 ML 582 | N 583 | 516.5 43 M 584 | 516.5 48.95 L 585 | S 586 | GR 587 | GS 588 | [0.75 0 0 0.75 0 0] CT 589 | 0 GC 590 | 2 setlinecap 591 | 10.0 ML 592 | N 593 | 576 43 M 594 | 576 48.95 L 595 | S 596 | GR 597 | GS 598 | [0.75 0 0 0.75 0 0] CT 599 | 0 GC 600 | 2 setlinecap 601 | 10.0 ML 602 | N 603 | 635.5 43 M 604 | 635.5 48.95 L 605 | S 606 | GR 607 | GS 608 | [0.75 0 0 0.75 0 0] CT 609 | 0 GC 610 | 2 setlinecap 611 | 10.0 ML 612 | N 613 | 695 43 M 614 | 695 48.95 L 615 | S 616 | GR 617 | GS 618 | [0.75 0 0 0.75 75 388.74998] CT 619 | 0 GC 620 | /Helvetica 13 F 621 | GS 622 | [1 0 0 1 0 0] CT 623 | -4.5 13 moveto 624 | 1 -1 scale 625 | (0) t 626 | GR 627 | GR 628 | GS 629 | [0.75 0 0 0.75 119.625 388.74998] CT 630 | 0 GC 631 | /Helvetica 13 F 632 | GS 633 | [1 0 0 1 0 0] CT 634 | -10.5 13 moveto 635 | 1 -1 scale 636 | (0.1) t 637 | GR 638 | GR 639 | GS 640 | [0.75 0 0 0.75 164.25 388.74998] CT 641 | 0 GC 642 | /Helvetica 13 F 643 | GS 644 | [1 0 0 1 0 0] CT 645 | -10.5 13 moveto 646 | 1 -1 scale 647 | (0.2) t 648 | GR 649 | GR 650 | GS 651 | [0.75 0 0 0.75 208.875 388.74998] CT 652 | 0 GC 653 | /Helvetica 13 F 654 | GS 655 | [1 0 0 1 0 0] CT 656 | -10.5 13 moveto 657 | 1 -1 scale 658 | (0.3) t 659 | GR 660 | GR 661 | GS 662 | [0.75 0 0 0.75 253.5 388.74998] CT 663 | 0 GC 664 | /Helvetica 13 F 665 | GS 666 | [1 0 0 1 0 0] CT 667 | -10.5 13 moveto 668 | 1 -1 scale 669 | (0.4) t 670 | GR 671 | GR 672 | GS 673 | [0.75 0 0 0.75 298.125 388.74998] CT 674 | 0 GC 675 | /Helvetica 13 F 676 | GS 677 | [1 0 0 1 0 0] CT 678 | -10.5 13 moveto 679 | 1 -1 scale 680 | (0.5) t 681 | GR 682 | GR 683 | GS 684 | [0.75 0 0 0.75 342.75 388.74998] CT 685 | 0 GC 686 | /Helvetica 13 F 687 | GS 688 | [1 0 0 1 0 0] CT 689 | -10.5 13 moveto 690 | 1 -1 scale 691 | (0.6) t 692 | GR 693 | GR 694 | GS 695 | [0.75 0 0 0.75 387.375 388.74998] CT 696 | 0 GC 697 | /Helvetica 13 F 698 | GS 699 | [1 0 0 1 0 0] CT 700 | -10.5 13 moveto 701 | 1 -1 scale 702 | (0.7) t 703 | GR 704 | GR 705 | GS 706 | [0.75 0 0 0.75 432 388.74998] CT 707 | 0 GC 708 | /Helvetica 13 F 709 | GS 710 | [1 0 0 1 0 0] CT 711 | -10.5 13 moveto 712 | 1 -1 scale 713 | (0.8) t 714 | GR 715 | GR 716 | GS 717 | [0.75 0 0 0.75 476.625 388.74998] CT 718 | 0 GC 719 | /Helvetica 13 F 720 | GS 721 | [1 0 0 1 0 0] CT 722 | -10.5 13 moveto 723 | 1 -1 scale 724 | (0.9) t 725 | GR 726 | GR 727 | GS 728 | [0.75 0 0 0.75 521.25 388.74998] CT 729 | 0 GC 730 | /Helvetica 13 F 731 | GS 732 | [1 0 0 1 0 0] CT 733 | -4.5 13 moveto 734 | 1 -1 scale 735 | (1) t 736 | GR 737 | GR 738 | GS 739 | [0.75 0 0 0.75 0 0] CT 740 | 0 GC 741 | 2 setlinecap 742 | 10.0 ML 743 | N 744 | 100 513 M 745 | 100 43 L 746 | S 747 | GR 748 | GS 749 | [0.75 0 0 0.75 0 0] CT 750 | 0 GC 751 | 2 setlinecap 752 | 10.0 ML 753 | N 754 | 695 513 M 755 | 695 43 L 756 | S 757 | GR 758 | GS 759 | [0.75 0 0 0.75 0 0] CT 760 | 0 GC 761 | 2 setlinecap 762 | 10.0 ML 763 | N 764 | 100 513 M 765 | 105.95 513 L 766 | S 767 | GR 768 | GS 769 | [0.75 0 0 0.75 0 0] CT 770 | 0 GC 771 | 2 setlinecap 772 | 10.0 ML 773 | N 774 | 100 466 M 775 | 105.95 466 L 776 | S 777 | GR 778 | GS 779 | [0.75 0 0 0.75 0 0] CT 780 | 0 GC 781 | 2 setlinecap 782 | 10.0 ML 783 | N 784 | 100 419 M 785 | 105.95 419 L 786 | S 787 | GR 788 | GS 789 | [0.75 0 0 0.75 0 0] CT 790 | 0 GC 791 | 2 setlinecap 792 | 10.0 ML 793 | N 794 | 100 372 M 795 | 105.95 372 L 796 | S 797 | GR 798 | GS 799 | [0.75 0 0 0.75 0 0] CT 800 | 0 GC 801 | 2 setlinecap 802 | 10.0 ML 803 | N 804 | 100 325 M 805 | 105.95 325 L 806 | S 807 | GR 808 | GS 809 | [0.75 0 0 0.75 0 0] CT 810 | 0 GC 811 | 2 setlinecap 812 | 10.0 ML 813 | N 814 | 100 278 M 815 | 105.95 278 L 816 | S 817 | GR 818 | GS 819 | [0.75 0 0 0.75 0 0] CT 820 | 0 GC 821 | 2 setlinecap 822 | 10.0 ML 823 | N 824 | 100 231 M 825 | 105.95 231 L 826 | S 827 | GR 828 | GS 829 | [0.75 0 0 0.75 0 0] CT 830 | 0 GC 831 | 2 setlinecap 832 | 10.0 ML 833 | N 834 | 100 184 M 835 | 105.95 184 L 836 | S 837 | GR 838 | GS 839 | [0.75 0 0 0.75 0 0] CT 840 | 0 GC 841 | 2 setlinecap 842 | 10.0 ML 843 | N 844 | 100 137 M 845 | 105.95 137 L 846 | S 847 | GR 848 | GS 849 | [0.75 0 0 0.75 0 0] CT 850 | 0 GC 851 | 2 setlinecap 852 | 10.0 ML 853 | N 854 | 100 90 M 855 | 105.95 90 L 856 | S 857 | GR 858 | GS 859 | [0.75 0 0 0.75 0 0] CT 860 | 0 GC 861 | 2 setlinecap 862 | 10.0 ML 863 | N 864 | 100 43 M 865 | 105.95 43 L 866 | S 867 | GR 868 | GS 869 | [0.75 0 0 0.75 0 0] CT 870 | 0 GC 871 | 2 setlinecap 872 | 10.0 ML 873 | N 874 | 695 513 M 875 | 689.05 513 L 876 | S 877 | GR 878 | GS 879 | [0.75 0 0 0.75 0 0] CT 880 | 0 GC 881 | 2 setlinecap 882 | 10.0 ML 883 | N 884 | 695 466 M 885 | 689.05 466 L 886 | S 887 | GR 888 | GS 889 | [0.75 0 0 0.75 0 0] CT 890 | 0 GC 891 | 2 setlinecap 892 | 10.0 ML 893 | N 894 | 695 419 M 895 | 689.05 419 L 896 | S 897 | GR 898 | GS 899 | [0.75 0 0 0.75 0 0] CT 900 | 0 GC 901 | 2 setlinecap 902 | 10.0 ML 903 | N 904 | 695 372 M 905 | 689.05 372 L 906 | S 907 | GR 908 | GS 909 | [0.75 0 0 0.75 0 0] CT 910 | 0 GC 911 | 2 setlinecap 912 | 10.0 ML 913 | N 914 | 695 325 M 915 | 689.05 325 L 916 | S 917 | GR 918 | GS 919 | [0.75 0 0 0.75 0 0] CT 920 | 0 GC 921 | 2 setlinecap 922 | 10.0 ML 923 | N 924 | 695 278 M 925 | 689.05 278 L 926 | S 927 | GR 928 | GS 929 | [0.75 0 0 0.75 0 0] CT 930 | 0 GC 931 | 2 setlinecap 932 | 10.0 ML 933 | N 934 | 695 231 M 935 | 689.05 231 L 936 | S 937 | GR 938 | GS 939 | [0.75 0 0 0.75 0 0] CT 940 | 0 GC 941 | 2 setlinecap 942 | 10.0 ML 943 | N 944 | 695 184 M 945 | 689.05 184 L 946 | S 947 | GR 948 | GS 949 | [0.75 0 0 0.75 0 0] CT 950 | 0 GC 951 | 2 setlinecap 952 | 10.0 ML 953 | N 954 | 695 137 M 955 | 689.05 137 L 956 | S 957 | GR 958 | GS 959 | [0.75 0 0 0.75 0 0] CT 960 | 0 GC 961 | 2 setlinecap 962 | 10.0 ML 963 | N 964 | 695 90 M 965 | 689.05 90 L 966 | S 967 | GR 968 | GS 969 | [0.75 0 0 0.75 0 0] CT 970 | 0 GC 971 | 2 setlinecap 972 | 10.0 ML 973 | N 974 | 695 43 M 975 | 689.05 43 L 976 | S 977 | GR 978 | GS 979 | [0.75 0 0 0.75 71 384.75] CT 980 | 0 GC 981 | /Helvetica 13 F 982 | GS 983 | [1 0 0 1 0 0] CT 984 | -9 4.5 moveto 985 | 1 -1 scale 986 | (0) t 987 | GR 988 | GR 989 | GS 990 | [0.75 0 0 0.75 71 349.5] CT 991 | 0 GC 992 | /Helvetica 13 F 993 | GS 994 | [1 0 0 1 0 0] CT 995 | -21 4.5 moveto 996 | 1 -1 scale 997 | (0.1) t 998 | GR 999 | GR 1000 | GS 1001 | [0.75 0 0 0.75 71 314.25] CT 1002 | 0 GC 1003 | /Helvetica 13 F 1004 | GS 1005 | [1 0 0 1 0 0] CT 1006 | -21 4.5 moveto 1007 | 1 -1 scale 1008 | (0.2) t 1009 | GR 1010 | GR 1011 | GS 1012 | [0.75 0 0 0.75 71 279] CT 1013 | 0 GC 1014 | /Helvetica 13 F 1015 | GS 1016 | [1 0 0 1 0 0] CT 1017 | -21 4.5 moveto 1018 | 1 -1 scale 1019 | (0.3) t 1020 | GR 1021 | GR 1022 | GS 1023 | [0.75 0 0 0.75 71 243.75] CT 1024 | 0 GC 1025 | /Helvetica 13 F 1026 | GS 1027 | [1 0 0 1 0 0] CT 1028 | -21 4.5 moveto 1029 | 1 -1 scale 1030 | (0.4) t 1031 | GR 1032 | GR 1033 | GS 1034 | [0.75 0 0 0.75 71 208.5] CT 1035 | 0 GC 1036 | /Helvetica 13 F 1037 | GS 1038 | [1 0 0 1 0 0] CT 1039 | -21 4.5 moveto 1040 | 1 -1 scale 1041 | (0.5) t 1042 | GR 1043 | GR 1044 | GS 1045 | [0.75 0 0 0.75 71 173.24999] CT 1046 | 0 GC 1047 | /Helvetica 13 F 1048 | GS 1049 | [1 0 0 1 0 0] CT 1050 | -21 4.5 moveto 1051 | 1 -1 scale 1052 | (0.6) t 1053 | GR 1054 | GR 1055 | GS 1056 | [0.75 0 0 0.75 71 138] CT 1057 | 0 GC 1058 | /Helvetica 13 F 1059 | GS 1060 | [1 0 0 1 0 0] CT 1061 | -21 4.5 moveto 1062 | 1 -1 scale 1063 | (0.7) t 1064 | GR 1065 | GR 1066 | GS 1067 | [0.75 0 0 0.75 71 102.75] CT 1068 | 0 GC 1069 | /Helvetica 13 F 1070 | GS 1071 | [1 0 0 1 0 0] CT 1072 | -21 4.5 moveto 1073 | 1 -1 scale 1074 | (0.8) t 1075 | GR 1076 | GR 1077 | GS 1078 | [0.75 0 0 0.75 71 67.50001] CT 1079 | 0 GC 1080 | /Helvetica 13 F 1081 | GS 1082 | [1 0 0 1 0 0] CT 1083 | -21 4.5 moveto 1084 | 1 -1 scale 1085 | (0.9) t 1086 | GR 1087 | GR 1088 | GS 1089 | [0.75 0 0 0.75 71 32.25] CT 1090 | 0 GC 1091 | /Helvetica 13 F 1092 | GS 1093 | [1 0 0 1 0 0] CT 1094 | -9 4.5 moveto 1095 | 1 -1 scale 1096 | (1) t 1097 | GR 1098 | GR 1099 | GS 1100 | [0.75 0 0 0.75 0 0] CT 1101 | 0 GC 1102 | 2 setlinecap 1103 | 10.0 ML 1104 | N 1105 | 159.5 465.958 M 1106 | 219 418.978 L 1107 | 278.5 371.986 L 1108 | 338 324.989 L 1109 | 397.5 277.992 L 1110 | 457 230.993 L 1111 | 516.5 183.994 L 1112 | 576 136.995 L 1113 | 635.5 89.996 L 1114 | S 1115 | GR 1116 | GS 1117 | [0.75 0 0 0.75 0 0] CT 1118 | 0 GC 1119 | 2 setlinecap 1120 | 10.0 ML 1121 | N 1122 | 104.648 513 M 1123 | 113.945 502.06 L 1124 | 123.242 502.06 L 1125 | 132.539 480.369 L 1126 | 141.836 480.369 L 1127 | 151.133 465.927 L 1128 | 160.43 465.927 L 1129 | 169.727 458.765 L 1130 | 179.023 458.765 L 1131 | 188.32 437.021 L 1132 | 197.617 437.021 L 1133 | 206.914 429.853 L 1134 | 216.211 429.853 L 1135 | 225.508 415.394 L 1136 | 234.805 415.394 L 1137 | 244.102 393.646 L 1138 | 253.398 393.646 L 1139 | 262.695 379.187 L 1140 | 271.992 379.187 L 1141 | 281.289 372.015 L 1142 | 290.586 372.015 L 1143 | 299.883 357.555 L 1144 | 309.18 357.555 L 1145 | 318.477 335.806 L 1146 | 327.773 335.806 L 1147 | 337.07 328.634 L 1148 | 346.367 328.634 L 1149 | 355.664 306.885 L 1150 | 364.961 306.885 L 1151 | 374.258 292.424 L 1152 | 383.555 292.424 L 1153 | 392.852 285.252 L 1154 | 402.148 285.252 L 1155 | 411.445 263.502 L 1156 | 420.742 263.502 L 1157 | 430.039 256.329 L 1158 | 439.336 256.329 L 1159 | 448.633 241.868 L 1160 | 457.93 241.868 L 1161 | 467.227 220.118 L 1162 | 476.523 220.118 L 1163 | 485.82 212.946 L 1164 | 495.117 212.946 L 1165 | 504.414 191.196 L 1166 | 513.711 191.196 L 1167 | 523.008 176.735 L 1168 | 532.305 176.735 L 1169 | 541.602 169.562 L 1170 | 550.898 169.562 L 1171 | 560.195 155.101 L 1172 | S 1173 | GR 1174 | GS 1175 | [0.75 0 0 0.75 0 0] CT 1176 | 0 GC 1177 | 2 setlinecap 1178 | 10.0 ML 1179 | N 1180 | 560.195 155.101 M 1181 | 569.492 155.101 L 1182 | 578.789 133.351 L 1183 | 588.086 133.351 L 1184 | 597.383 118.89 L 1185 | 606.68 118.89 L 1186 | 615.977 111.717 L 1187 | 625.273 111.717 L 1188 | 634.57 89.967 L 1189 | 643.867 89.967 L 1190 | 653.164 82.794 L 1191 | 662.461 82.794 L 1192 | 671.758 68.333 L 1193 | 681.055 68.333 L 1194 | 690.352 279.777 L 1195 | S 1196 | GR 1197 | GS 1198 | [0.75 0 0 0.75 0 0] CT 1199 | 0 GC 1200 | 2 setlinecap 1201 | 10.0 ML 1202 | N 1203 | 159.5 465.958 M 1204 | 219 418.978 L 1205 | 278.5 371.986 L 1206 | 338 324.989 L 1207 | 397.5 277.992 L 1208 | 457 230.993 L 1209 | 516.5 183.994 L 1210 | 576 136.995 L 1211 | 635.5 89.996 L 1212 | S 1213 | GR 1214 | GS 1215 | [0.75 0 0 0.75 0 0] CT 1216 | 0 GC 1217 | 2 setlinecap 1218 | 10.0 ML 1219 | N 1220 | 104.648 513 M 1221 | 113.945 502.06 L 1222 | 123.242 502.06 L 1223 | 132.539 480.369 L 1224 | 141.836 480.369 L 1225 | 151.133 465.927 L 1226 | 160.43 465.927 L 1227 | 169.727 458.765 L 1228 | 179.023 458.765 L 1229 | 188.32 437.021 L 1230 | 197.617 437.021 L 1231 | 206.914 429.853 L 1232 | 216.211 429.853 L 1233 | 225.508 415.394 L 1234 | 234.805 415.394 L 1235 | 244.102 393.646 L 1236 | 253.398 393.646 L 1237 | 262.695 379.187 L 1238 | 271.992 379.187 L 1239 | 281.289 372.015 L 1240 | 290.586 372.015 L 1241 | 299.883 357.555 L 1242 | 309.18 357.555 L 1243 | 318.477 335.806 L 1244 | 327.773 335.806 L 1245 | 337.07 328.634 L 1246 | 346.367 328.634 L 1247 | 355.664 306.885 L 1248 | 364.961 306.885 L 1249 | 374.258 292.424 L 1250 | 383.555 292.424 L 1251 | 392.852 285.252 L 1252 | 402.148 285.252 L 1253 | 411.445 263.502 L 1254 | 420.742 263.502 L 1255 | 430.039 256.329 L 1256 | 439.336 256.329 L 1257 | 448.633 241.868 L 1258 | 457.93 241.868 L 1259 | 467.227 220.118 L 1260 | 476.523 220.118 L 1261 | 485.82 212.946 L 1262 | 495.117 212.946 L 1263 | 504.414 191.196 L 1264 | 513.711 191.196 L 1265 | 523.008 176.735 L 1266 | 532.305 176.735 L 1267 | 541.602 169.562 L 1268 | 550.898 169.562 L 1269 | 560.195 155.101 L 1270 | S 1271 | GR 1272 | GS 1273 | [0.75 0 0 0.75 0 0] CT 1274 | 0 GC 1275 | 2 setlinecap 1276 | 10.0 ML 1277 | N 1278 | 560.195 155.101 M 1279 | 569.492 155.101 L 1280 | 578.789 133.351 L 1281 | 588.086 133.351 L 1282 | 597.383 118.89 L 1283 | 606.68 118.89 L 1284 | 615.977 111.717 L 1285 | 625.273 111.717 L 1286 | 634.57 89.967 L 1287 | 643.867 89.967 L 1288 | 653.164 82.794 L 1289 | 662.461 82.794 L 1290 | 671.758 68.333 L 1291 | 681.055 68.333 L 1292 | 690.352 279.777 L 1293 | S 1294 | GR 1295 | %%Trailer 1296 | %%BoundingBox: 55 31 524 405 1297 | %%Pages: 1 1298 | %%EOF 1299 | --------------------------------------------------------------------------------