File:2015ruble2.jpg

Value $y$ of Russian rubble, measured in the USA cents, versus time $x$.

Time $x$ is measured in days simce the beginning of the project, 2014.10.27.

Experimental data are from https://www.mataf.net/en/currency/converter-USD-RUB (thick green line).

The pink arc shows function $y=\mathrm{Arc}(x)=.01\sqrt{(123-x)(471+x)}$ prepared at 2014.11.29.

The black line shows the linear approximation, $y=2.4-0.0048x$ This approximation had been suggesed 2014.10.27.

The approxmations Arc and Linear are mentioned in the article

Prototype of this image is used as figure 1 in the article .

Up to 2015.08.24, the deviation of function Linear from the experimental data is of order of half of the USA cent, id est, smaller, than value of penny, one cent of dollar, whith is smallest coin used in the USA. The relative deviation of this extrapolation from the experimental data remains of order of 30%.

Later, the new data are added, and up to 2015.08.06, the linear approximation shows reasonable agreement with experimental data; therelative deviation is of order of 30%.

Original data
2015-06-06     56 296.00 2015-06-05      56 236.00 2015-06-04      55 091.90 2015-06-03      53 175.20 2015-06-02      53 316.90 2015-06-01      52 782.50 2015-05-31      52 336.70 2015-05-30      52 336.70 2015-05-29      58 175.80 2015-05-28      52 227.60 2015-05-27      51 206.30 2015-05-26      50 347.80 2015-05-25      49 880.30 2015-05-24      50 015.50 2015-05-23      50 015.50 2015-05-22      49 914.20 2015-05-21      49 861.40 2015-05-20      49 854.50 2015-05-19      49 210.60 2015-05-18      49 337.50 2015-05-17      49 527.00 2015-05-16      49 527.00 2015-05-15      49 309.50 2015-05-14      50 608.00 2015-05-13      50 608.00 2015-05-12      50 608.00 2015-05-11      50 608.00 2015-05-10      50 608.00 2015-05-09      50 608.00 2015-05-08      50 608.00 2015-05-07      50 608.00 2015-05-06      51 961.90 2015-05-05      51 961.90 2015-05-04      51 961.90 2015-05-03      51 961.90 2015-05-02      51 875.70 2015-05-01      51 875.70 2015-04-30      51 843.30 2015-04-29      51 843.30 2015-04-28      51 843.30 2015-04-27      51 843.30 2015-04-26      50 804.60 2015-04-25      50 804.60 2015-04-24      50 577.70 2015-04-23      50 837.90 2015-04-22      53 596.70 2015-04-21      53 596.70 2015-04-20      51 625.80 2015-04-19      51 445.80 2015-04-18      51 445.80 2015-04-17      50 715.40 2015-04-16      49 753.70 2015-04-15      50 550.30 2015-04-14      52 037.20 2015-04-13      52 506.00 2015-04-12      53 578.90 2015-04-11      53 578.90 2015-04-10      50 818.80 2015-04-09      52 550.10 2015-04-08      53 835.30 2015-04-07      55 644.40 2015-04-06      56 421.40 2015-04-05      56 816.70 2015-04-04      56 816.70 2015-04-03      56 939.10 2015-04-02      56 720.60 2015-04-01      58 421.00 2015-03-31      57 685.60 2015-03-30      58 342.80 2015-03-29      57 897.30 2015-03-28      57 897.30 2015-03-27      57 654.60 2015-03-26      56 471.10 2015-03-25      56 739.70 2015-03-24      58 751.50 2015-03-23      59 650.60 2015-03-22      59 302.30 2015-03-21      59 302.30 2015-03-20      60 067.80 2015-03-19      60 138.70 2015-03-18      61 206.90 2015-03-17      61 558.60 2015-03-16      62 263.80 2015-03-15      62 252.60 2015-03-14      62 252.60 2015-03-13      61 313.40 2015-03-12      61 006.80 2015-03-11      62 983.60 2015-03-10      60 498.50 2015-03-09      60 774.10 2015-03-08      60 397.30 2015-03-07      60 397.40 2015-03-06      59 432.30 2015-03-05      61 865.60 2015-03-04      61 759.50 2015-03-03      62 354.50 2015-03-02      62 170.30 2015-03-01      61 557.80 2015-02-28      61 557.80 2015-02-27      61 169.50 2015-02-26      60 643.00 2015-02-25      62 543.90 2015-02-24      63 239.40 2015-02-23      63 987.60 2015-02-22      61 877.20 2015-02-21      61 877.20 2015-02-20      61 638.40 2015-02-19      61 982.40 2015-02-18      62 434.60 2015-02-17      63 045.50 2015-02-16      62 839.30 2015-02-15      63 349.40 2015-02-14      63 349.40 2015-02-13      64 927.10 2015-02-12      66 378.20 2015-02-11      66 284.30 2015-02-10      65 853.50 2015-02-09      66 524.50 2015-02-08      66 524.50 2015-02-07      66 524.50 2015-02-06      65 767.40 2015-02-05      68 475.50 2015-02-04      65 912.10 2015-02-03      67 116.00 2015-02-02      70 319.50 2015-02-01      69 659.50 2015-01-31      69 659.50 2015-01-30      69 368.70 2015-01-29      68 996.50 2015-01-28      67 376.30 2015-01-27      67 557.20 2015-01-26      65 799.60 2015-01-25      64 052.40 2015-01-24      64 052.40 2015-01-23      64 460.20 2015-01-22      65 407.00 2015-01-21      65 965.10 2015-01-20      65 259.00 2015-01-19      64 914.50 2015-01-18      65 303.00 2015-01-17      65 303.00 2015-01-16      65 364.20 2015-01-15      64 848.60 2015-01-14      65 878.90 2015-01-13      64 695.20 2015-01-12      62 871.70 2015-01-11      61 860.00 2015-01-10      61 860.00 2015-01-09      61 624.00 2015-01-08      61 134.80 2015-01-07      63 539.30 2015-01-06      62 602.90 2015-01-05      58 229.90 2015-01-04      58 729.40 2015-01-03      58 729.40 2015-01-02      61 006.10 2015-01-01      60 545.80 2014-12-31      57 612.50 2014-12-30      57 623.40 2014-12-29      51 048.00 2014-12-28      51 048.80 2014-12-27      51 048.80 2014-12-26      51 047.00 2014-12-25      52 467.30 2014-12-24      54 606.00 2014-12-23      54 716.00 2014-12-22      56 646.90 2014-12-21      58 879.90 2014-12-20      58 879.90 2014-12-19      60 284.50 2014-12-18      60 457.00 2014-12-17      68 311.40 2014-12-16      65 610.50 2014-12-15      58 453.63 2014-12-14      58 175.80 2014-12-13      58 175.80 2014-12-12      57 303.60 2014-12-11      54 958.80 2014-12-10      54 316.50 2014-12-09      54 207.30 2014-12-08      53 422.50 2014-12-07      52 677.50 2014-12-06      52 677.50 2014-12-05      53 722.00 2014-12-04      52 657.30 2014-12-03      54 729.00 2014-12-02      51 196.50 2014-12-01      52 329.90 2014-11-30      50 213.30 2014-11-29      50 213.30 2014-11-28      49 370.10 2014-11-27      47 730.20 2014-11-26      46 663.40 2014-11-25      45 292.30 2014-11-24      44 380.80 2014-11-23      45 772.90 2014-11-22      45 772.90 2014-11-21      45 481.20 2014-11-20      46 670.90 2014-11-19      46 965.50 2014-11-18      46 630.00 2014-11-17      47 392.50 2014-11-16      47 241.60 2014-11-15      47 346.00 2014-11-14      47 428.50 2014-11-13      46 284.50 2014-11-12      46 408.00 2014-11-11      46 143.70 2014-11-10      45 713.80 2014-11-09      46 610.90 2014-11-08      46 699.90 2014-11-07      47 937.00 2014-11-06      45 367.20 2014-11-05      44 531.60 2014-11-04      43 605.60 2014-11-03      43 359.80 2014-11-02      43 028.30 2014-11-01      43 028.30 2014-10-31      42 271.10 2014-10-30      43 388.00 2014-10-29      42 750.50 2014-10-28      42 539.90 2014-10-27      41 984.50 2014-10-26      41 895.20 2014-10-25      41 895.20 2014-10-24      41 926.50 2014-10-23      41 539.70 2014-10-22      41 000.30 2014-10-21      40 970.30 2014-10-20      40 934.30 2014-10-19      40 717.90 2014-10-18      40 717.90 2014-10-17      39 889.10 2014-10-16      39 889.10 2014-10-15      39 889.10 2014-10-14      39 889.10 2014-10-13      39 889.10 2014-10-12      39 889.10 2014-10-11      39 889.10 2014-10-10      39 889.10 2014-10-09      39 889.10 2014-10-08      39 889.10 2014-10-07      39 889.10 2014-10-06      39 975.10 2014-10-05      39 980.70 2014-10-04      39 571.00 2014-10-03      39 571.00 2014-10-02      39 571.00 2014-10-01      39 685.50 2014-09-30      39 431.50 2014-09-29      39 143.50 2014-09-28      39 152.70 2014-09-27      39 152.70 2014-09-26      38 494.80 2014-09-25      38 206.50 2014-09-24      38 581.00 2014-09-23      38 731.10 2014-09-22      38 432.20 2014-09-21      38 435.60 2014-09-20      38 435.60 2014-09-19      38 477.30 2014-09-18      38 432.90 2014-09-17      38 336.40 2014-09-16      38 302.80 2014-09-15      37 793.80 2014-09-14      37 785.30 2014-09-13      37 785.30 2014-09-12      37 532.40 2014-09-11      37 310.80 2014-09-10      37 093.10 2014-09-09      37 046.50 2014-09-08      36 975.80 2014-09-07      36 945.60 2014-09-06      36 945.60 2014-09-05      36 958.60 2014-09-04      36 806.70 2014-09-03      37 453.60 2014-09-02      37 328.10 2014-09-01      37 057.80 2014-08-31      37 068.00 2014-08-30      37 068.00 2014-08-29      36 754.00 2014-08-28      35 937.50 2014-08-27      36 164.90 2014-08-26      36 146.10 2014-08-25      36 141.30 2014-08-24      36 112.70 2014-08-23      36 112.70 2014-08-22      36 047.10 2014-08-21      36 367.10 2014-08-20      36 182.00 2014-08-19      36 082.10 2014-08-18      36 113.90 2014-08-17      36 127.70 2014-08-16      36 127.70 2014-08-15      36 029.60 2014-08-14      36 043.80 2014-08-13      36 213.10 2014-08-12      35 947.10 2014-08-11      36 148.90 2014-08-10      36 149.10 2014-08-09      36 149.10 2014-08-08      36 361.00 2014-08-07      36 174.10 2014-08-06      36 100.30 2014-08-05      35 831.90 2014-08-04      35 761.40 2014-08-03      35 753.90 2014-08-02      35 753.90 2014-08-01      35 728.90 2014-07-31      35 558.70 2014-07-30      35 813.00 2014-07-29      35 559.30 2014-07-28      35 115.30 2014-07-27      35 128.60 2014-07-26      35 128.60 2014-07-25      35 083.80 2014-07-24      34 879.80 2014-07-23      34 984.80 2014-07-22      35 170.30 2014-07-21      35 317.80 2014-07-20      35 317.80 2014-07-19      35 158.60 2014-07-18      35 266.00 2014-07-17      34 486.00 2014-07-16      34 399.30 2014-07-15      34 344.90 2014-07-14      34 199.50 2014-07-13      34 116.30 2014-07-12      34 116.30 2014-07-11      34 012.70 2014-07-10      33 918.00 2014-07-09      34 231.20 2014-07-08      34 432.30 2014-07-07      34 387.40 2014-07-06      34 404.20 2014-07-05      34 404.20 2014-07-04      34 305.50 2014-07-03      34 304.00 2014-07-02      34 355.00 2014-07-01      33 985.80 2014-06-30      33 722.00 2014-06-29      33 744.70 2014-06-28      33 744.70 2014-06-27      33 742.80 2014-06-26      33 634.60 2014-06-25      33 737.20 2014-06-24      33 791.70 2014-06-23      34 091.20 2014-06-22      34 462.20 2014-06-21      34 462.20 2014-06-20      34 475.00 2014-06-19      34 416.90 2014-06-18      34 455.40 2014-06-17      34 811.00 2014-06-16      34 602.60 2014-06-15      34 394.80 2014-06-14      34 394.80 2014-06-13      34 390.20 2014-06-12      34 344.60 2014-06-11      34 354.90 2014-06-10      34 289.80 2014-06-09      34 336.40 2014-06-08      34 409.70 2014-06-07      34 409.70 2014-06-06      34 407.30 2014-06-05      34 694.70 2014-06-04      34 970.60 2014-06-03      35 075.60 2014-06-02      35 043.00 2014-06-01      34 891.40 2014-05-31      34 891.40

2014-05-30     34 893.2 2014-05-29      34 688.3 2014-05-28      34 512.9 2014-05-27      34 405.9 2014-05-26      34 170.1 2014-05-25      34 118.6 2014-05-24      34 118.6 2014-05-23      34 115.4 2014-05-22      34 303.1 2014-05-21      34 325.4 2014-05-20      34 508.1 2014-05-19      34 546.4 2014-05-18      34 762.2 2014-05-17      34 762.2 2014-05-16      34 779.8 2014-05-15      34 757.2 2014-05-14      34 634.4 2014-05-13      34 849.7 2014-05-12      35 001.1 2014-05-11      35 214.7 2014-05-10      35 214.7 2014-05-09      35 203.3 2014-05-08      35 034.7 2014-05-07      35 918 2014-05-06      35 439 2014-05-05      35 667.7 2014-05-04      35 851.7 2014-05-03      35 851.2 2014-05-02      35 822.3 2014-05-01      35 589

2014-04-30     35 597.1 2014-04-29      35 624.1 2014-04-28      35 875.7 2014-04-27      36 020.5 2014-04-26      36 035.3 2014-04-25      36 017.2 2014-04-24      35 726.7 2014-04-23      35 695.2 2014-04-22      35 673.9 2014-04-21      35 661.7 2014-04-20      35 600.7 2014-04-19      35 625 2014-04-18      35 577.1 2014-04-17      35 451.5 2014-04-16      36 033 2014-04-15      36 249 2014-04-14      35 940.8 2014-04-13      35 750.8 2014-04-12      35 750.8 2014-04-11      35 747.1 2014-04-10      35 566.8 2014-04-09      35 568.6 2014-04-08      35 675.8 2014-04-07      35 564.7 2014-04-06      35 324.9 2014-04-05      35 313.9 2014-04-04      35 312 2014-04-03      35 564.8 2014-04-02      35 452.6 2014-04-01      35 030.4

2014-03-31     35 157.2 2014-03-30      35 786.3 2014-03-29      35 786.3 2014-03-28      35 752.4 2014-03-27      35 615.7 2014-03-26      35 515.4 2014-03-25      35 517.4 2014-03-24      36 095 2014-03-23      36 249 2014-03-22      36 249.5 2014-03-21      36 245.4 2014-03-20      36 300.6 2014-03-19      36 189 2014-03-18      36 238.5 2014-03-17      36 208 2014-03-16      36 616.8 2014-03-15      36 616.8 2014-03-14      36 563.2 2014-03-13      36 568.1 2014-03-12      36 468.9 2014-03-11      36 441.3 2014-03-10      36 369 2014-03-09      36 403.1 2014-03-08      36 403.1 2014-03-07      36 385 2014-03-06      36 178.3 2014-03-05      36 056.4 2014-03-04      36 028.4 2014-03-03      36 513.3 2014-03-02      35 982 2014-03-01      35 982

2014-02-28     36 045.9 2014-02-27      36 000.3 2014-02-26      36 036.5 2014-02-25      35 705.7 2014-02-24      35 515.9 2014-02-23      35 505.9 2014-02-22      35 505.9 2014-02-21      35 506 2014-02-20      35 751.8

C++ Data converter

 * 1) include
 * 2) include
 * 3) include
 * 4) define DB double
 * 5) define DO(x,y) for(x=0;x<y;x++)
 * 6) include"daju24.cin"

int main{ //int M=1024; int M=2024; int t[M]; DB g[M]; DB z; int j,jd,n,m,N; FILE *i,*o; int di; DB dr, x,y;

int zero=daju24(2014,10,27); //Date of beginning of the project

i=fopen("dollardat.txt","r"); DO(n,M) { int Y,M,D; char c1,c2,c3; j=fscanf(i,"%4d%c%2d%c%2d%2d%lf",&Y,&c1,&M,&c2,&D, &di,&dr); if(j<3) break; t[n]=daju24(Y,M,D)-zero; z=di+dr/1000.; g[n]=10000./z; //printf("%4d %2d %2d %9.0f %9.3f\n",Y, M, D, t[n],f[n]); } fclose(i); N=n; printf("N=%4d\n",N);

o=fopen("ddat.txt","w"); //DO(n,N) fprintf(o,"%4d %4.2lf\n",t[n],g[n]); for(n=N-1;n>=0;n--) fprintf(o,"%4d %4.2lf\n",t[n],g[n]); fclose(o);

}

C++ Generator of lines

 * 1) include
 * 2) include
 * 3) include
 * 4) define DB double
 * 5) define DO(x,y) for(x=0;x<y;x++)

void ado(FILE *O, int X, int Y) { fprintf(O,"%c!PS-Adobe-2.0 EPSF-2.0\n",'%'); fprintf(O,"%c%cBoundingBox: 0 0 %d %d\n",'%','%',X,Y); fprintf(O,"/M {moveto} bind def\n"); fprintf(O,"/L {lineto} bind def\n"); fprintf(O,"/S {stroke} bind def\n"); fprintf(O,"/s {show newpath} bind def\n"); fprintf(O,"/C {closepath} bind def\n"); fprintf(O,"/F {fill} bind def\n"); fprintf(O,"/o {2 0 360 arc C F} bind def\n"); // fprintf(O,"/times-Roman-Bold findfont 20 scalefont setfont\n"); fprintf(O,"/Helvetica-Bold findfont 16 scalefont setfont\n"); fprintf(O,"/W {setlinewidth} bind def\n"); fprintf(O,"/RGB {setrgbcolor} bind def\n");} //#include"ado.cin"

DB arc(DB x){ return sqrt((123.-x)*(471.+x)); }

// http://stackoverflow.com/questions/12864741/converting-gregorian-date-to-julian-date-and-then-back-again-with-time void ju24da(int Mjd, int *Year, int *Month, int *Day) { int J, C, Y, M;   J = Mjd + 2400000 + 68569; C = 4 * J / 146097; J = J - (146097 * C + 3) / 4; Y = 4000 * (J + 1) / 1461001; J = J - 1461 * Y / 4 + 31; M = 80 * J / 2447; *Day = J - 2447 * M / 80; J = M / 11; *Month = M + 2 - (12 * J); *Year = 100 * (C - 49) + Y + J; // http://www.leapsecond.com/tools/gpsdate.c }

int daju24(int Y,int M, int D) { int a, y,m; a=(14-M)/12; y=Y+4800-a; m=M+12*a-3; return D + (153*m+2)/5 +365*y + y/4 - y/100 + y/400 -32045 - 2400000; }

FILE *i,*o; int main{ int j,n,m,N=300;

o=fopen("12.eps","w"); ado(o,820,324); fprintf(o,"310 10 translate \n"); for(n=0;n<301;n+=50) {M(-300,n)L(500,n)} for(n=-300;n<501;n+=50) {M(n,0)L(n,300)} fprintf(o,"0 0 0 RGB 2 setlinecap .5 W S\n"); //M(-20,0) L(50,0) M(0,-0.2) L(0,30) fprintf(o,"0 0 0 RGB .16 W S\n"); DB x,y;
 * 1) define M(x,y) fprintf(o,"%6.4f %6.4f M\n",0.+x,0.+y);
 * 2) define L(x,y) fprintf(o,"%6.4f %6.4f L\n",0.+x,0.+y);
 * 3) define o(x,y) fprintf(o,"%6.2f %6.2f o\n",0.+x,0.+y);

int no=daju24(2014,10,27); for(n=-300;n<100;n+=50) { int y,m,d; ju24da(no+n, &y, &m, &d); fprintf(o, "gsave %4d 8 translate 90 rotate 0 -6 M (%4d.%02d.%02d) show grestore\n",n,y,m,d); }

for(n=100;n<501;n+=50) { int y,m,d; ju24da(no+n, &y, &m, &d); fprintf(o, "gsave %4d 210 translate 90 rotate 0 -5 M (%4d.%02d.%02d) show grestore\n",n,y,m,d); }

int T[1024], X[1024]; DB F[1024], Y[1024];

int k,Ndd; i=fopen("ddat.txt","r"); DO(n,1024){j=fscanf(i,"%lf%lf",&x,&y); if(j<2) break; //if(x>10) break; T[n]=x; F[n]=y; printf("%4d %6.4f %6.4f\n",n,x,y); } // if(x>-321.) o(x,y);} fclose(i); Ndd=n;

printf("ndd=%6d\n", Ndd);

//DO(k,Ndd){if(T[k]>-150) break;}

for(n=k;n32)break; } fprintf(o,"0 1 0 RGB 1 setlinejoin 1 setlinecap 10 W S\n");

nomore:

M(-120,300) L(500,0) fprintf(o,"0 0 0 RGB .8 W S\n");

for(n=0;n<500;n++) { x=n-300.; y=arc(x); if(y>=0){if(n==0)M(x,y) else L(x,y) } } fprintf(o,"1 0 1 RGB .9 W S\n");

fprintf(o,"showpage\n%c%cTrailer",'%','%'); fclose(o); system("epstopdf 12.eps"); system( "open 12.pdf"); }

Generator of labels
\documentclass[12pt]{article} \usepackage{geometry} \usepackage{graphicx} \usepackage{rotating} \usepackage{color} \definecolor{pink}{RGB}{255,127,255} \paperwidth 832pt \paperheight 342pt \textwidth 800pt \textheight 400pt \topmargin -92pt %\oddsidemargin -84pt \oddsidemargin 12pt \newcommand \sx {\scalebox} \newcommand \rot {\begin{rotate}} \newcommand \ero {\end{rotate}} \begin{document} \begin{picture}(730,318) %\put(-6,-8){\sx{.64}{\includegraphics{85210_original.png}}} %\put(-6.4,-8.4){\sx{.64}{\includegraphics{85210_original.png}}} %%%%%%%% \put(46,20){\sx{14.9}{\color{pink} \circle{50}}} %\put(10,10){\includegraphics{dollarplo}} %\put(-90,10){\includegraphics{08}} %\put(-90,10){\includegraphics{fig1}} \put(-90,10){\includegraphics{12}} \put(-100,310){\sx{2.3}{$y$}} %\put(-104,308){\sx{1.3}{Ruble}} %\put(-104,296){\sx{1.3}{in cents}} %\put(-104,282){\sx{1.3}{of USA}} \put(-98,212){\sx{2.2}{2}} \put(-98,112){\sx{2.2}{1}} \put(-98, 12){\sx{2.2}{0}} \put(-18,-3){\sx{2.2}{$-200$}} \put(82,-3){\sx{2.2}{$-100$}} \put(215,-3){\sx{2.2}{$0$}} \put(302,-3){\sx{2.2}{$100$}} \put(402,-3){\sx{2.2}{$200$}} \put(502,-3){\sx{2.2}{$300$}} \put(602,-3){\sx{2.2}{$400$}} %\put(600,-2){\sx{2.5}{$400$}} \put(660,-1){\sx{1.9}{$x$, days}} %\put(86,30){\sx{2.4}{\rot{90}{\bf 2014.05.31}\ero}} %\put(130,30){\sx{2.4}{\rot{90}{\bf 2014.07.19}\ero}} %\put(180,30){\sx{2.}{\rot{90}{\bf 2014.09.07}\ero}} %\put(230,30){\sx{2.4}{\rot{90}{\bf 2014.10.27}\ero}} %\put(280,30){\sx{2.}{\rot{90}{\bf 2014.09.16}\ero}} %\put(330,30){\sx{2.4}{\rot{90}{\bf 2015.02.04}\ero}} %\put(380,192){\sx{2.}{\rot{90}{\bf 2014.03.26}\ero}} %\put(430,172){\sx{2.4}{\rot{90}{\bf 2015.05.15}\ero}} %\put(480,192){\sx{2.}{\rot{90}{\bf 2015.07.04}\ero}} %\put(530,172){\sx{2.4}{\rot{90}{\bf 2015.08.23}\ero}} %\put(630,172){\sx{2.4}{\rot{90}{\bf 2015.12.01}\ero}} %\put(730,172){\sx{2.4}{\rot{90}{\bf 2016.03.10}\ero}} %\put(-33,317){\sx{1.8}{\rot{2}$y\!=\!\mathrm{Arc}(x)$\ero}} \put(-42,290){\sx{1.8}{\rot{5}$y\!=\!\mathrm{Arc}(x)$\ero}} \put(380,192){\sx{2}{\rot{-26}$y=\mathrm{Linear}(x)=2.4-0.0048 x$\ero}} \put(302,144){\sx{2}{\rot{-79}$y\!=\!\mathrm{Arc}(x)$\ero}} \end{picture} \end{document}