File:Roublellip.png

Approximations of ruble, that describe the Inflation of rouble in the fall of 2014, data by https://www.mataf.net/en/currency/converter-RUB-USD https://www.mataf.net/en/currency/converter-USD-RUB , thick green scratched line.

The three approximations (extrapolations) are shown with black straight line, with thick pink arc and with thin red ellipse.

This is update of image http://mizugadro.mydns.jp/t/index.php/File:Rusa2014.10.28t.jpg (the pink arc is added). and of image http://mizugadro.mydns.jp/t/index.php/File:RubleArc.png (the red ellipse is added).

The straight black line represents the liner approximation ("500 days"), made 2014.10.27; this date is chosen as zero at the abscissa axis.

The pink arc is circular approximation, made 2014.11.29.

The red ellipse is approximation made 2014.12.10.

The linear and the red extrapolations can be interpreted as "optimistic" and "pessimistic" estimates.

The branch point of the circular approximation at the beginning of year 2015 may have sense of denomination; at such a denomination, the roubles are no more accepted in the money exchange offices, and value of rouble can be interpreted as imaginary.

2014.12.03, such a denomination indeed had been suggested by dumak Roman Hudiakov (Худяков Роман Иванович)

Data
45 2014-12-11.45  54 736.51 2014-12-10.44   54 316.50 2014-12-09.43   54 207.30 2014-12-08.42   53 422.50 2014-12-07.41   52 677.50 2014-12-06.40   52 677.5 2014-12-05.39   53 722.00 2014-12-04.38   52 657.30 2014-12-03.37   54 729.00 2014-12-02.36   51 196.5 2014-12-01.35   52 329.9 2014-11-30.34   50 213.3 2014-11-29.33   50 213.3 2014-11-28.32   49 370.10 2014-11-27.31   47 359.80 2014-11-26.30   46 663.40 2014-11-25.29   45 292.32 2014-11-24.28   44 380.80 2014-11-23.27   45 772.90 2014-11-22.26   45 772.90 2014-11-21.25   45 481.20 2014-11-20.24   46 670.90 2014-11-19.23   46 965.50 2014-11-18.22   46 630.00 2014-11-17.21   47 392.50 2014-11-16.20   47 241.64 2014-11-15.29   47 346.0 2014-11-14.18   47 428.5 2014-11-13.17   46 284.5 2014-11-12.16   46 408.0 2014-11-11.15   46 143.70 2014-11-10.14   45 713.8 2014-11-09.13   46 610.9 2014-11-08.12   46 699.9 2014-11-07.11   47 937.0 2014-11-06.10   45 367.20 2014-11-05.09   44 531.6 2014-11-04.08   43 605.6 2014-11-03.07   43 359.8 2014-11-02.06   43 028.3 2014-11-01.05   43 028.3 2014-10-31.04   41 701.1 2014-10-30.03   43 388.0 2014-10-29.02   42 750.5 2014-10-28.01   42 403.5 2014-10-27.00   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

The maximum was reached on 27 Oct 2014 1 000.00 US Dollar = 41 984.50 Russian Ruble The minimum on 22 Feb 2009 1 000.00 US Dollar = 27.60 Russian Ruble https://www.mataf.net/en/currency/converter-USD-RUB

C++ generator of curves
FILE *i,*o; int main{ int j,n,m,N=200; char d[N][16]; DB f[N]; int di; DB dr; int day; //i=fopen("rusa2014.10.29.txt","r"); i=fopen("dollardata.txt","r"); //i=fopen("04.txt","r"); fscanf(i,"%d",&day);
 * 1) include
 * 2) include
 * 3) include
 * 4) define DB double
 * 5) define DO(x,y) for(x=0;x<y;x++)
 * 6) include"ado.cin"

DO(n,N) { j=fscanf(i,"%s%d%lf",d[n],&di,&dr); if(j<3) goto end; f[n]=di+.001*dr; printf("%1d %3d %s %2d %8.3lf %4d %6.4lf %6.4lf\n",j,n,d[n],di,dr,day-n,f[n],1000./f[n]); } end: N=n; fclose(i);

//o=fopen("05.eps","w"); //o=fopen("rusa2014m10m29.eps","w"); //o=fopen("dollarplot.eps","w"); o=fopen("10.eps","w"); ado(o,720,320); fprintf(o,"210 10 translate 10 10 scale\n"); for(n=0;n<31;n+=10) {M(-20,n)L(50,n)} for(n=-20;n<51;n+=10) {M(n,0)L(n,30)} fprintf(o,"0 0 0 RGB 2 setlinecap .1 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; //DO(n,m){x=-X[n]/2.4; y=1000./f[n]; if(n==0) M(x,y) else L(x,y) } DO(n,N){x=(day-n)/10.; y=1000./f[n]; if(n==0) M(x,y) else L(x,y) } fprintf(o,"0 1 0 RGB 1 setlinejoin 1 setlinecap 1 W S\n");
 * 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);

M(-12,30) L(50,0) fprintf(o,"0 0 0 RGB .2 W S\n");

DB z; for(n=0;n<800;n++) {x=.1*n-20.4; z=x+14.; // z/=24.; z/=23.6; z*=z; z= 1. - z; if(z<0) break; z=sqrt(z); z=z*2.94;//+0.05; y=10*z; if(n==0) M(x,y) else L(x,y) } fprintf(o,"1 0 0 RGB .1 W S\n");

fprintf(o,"showpage\n%c%cTrailer",'%','%'); fclose(o); system("epstopdf 10.eps"); system(   "open 10.pdf"); printf("day of observaiton: %3d\n", day); //     getchar; system("killall Preview");//for mac }

Latex generator of labels
The pink arc is also generated in this document: \documentclass[12pt]{article} \usepackage{geometry} \usepackage{graphicx} \usepackage{rotating} \usepackage{color} \definecolor{pink}{RGB}{255,127,255} \paperwidth 732pt \paperheight 332pt \textwidth 800pt \textheight 400pt \topmargin -92pt \oddsidemargin -84pt \newcommand \sx {\scalebox} \newcommand \rot {\begin{rotate}} \newcommand \ero {\end{rotate}} \begin{document} \begin{picture}(730,306) \put(46,20){\sx{14.9}{\color{pink} \circle{50}}} %\put(10,10){\includegraphics{rusa2014.10.28c}} %\put(10,10){\includegraphics{dollarplot}} \put(10,10){\includegraphics{10}} %\put(10,10){\includegraphics{rusa2014.10.28c}} %\put(10,10){\includegraphics{05.pdf}} %\put(-10,0){\circle(200)} %\put(0,-40){\sx{16}{\color{magenta} \circle{50}}} \put(-4,308){\sx{1.3}{Ruble}} \put(-4,296){\sx{1.3}{in cents}} \put(-4,282){\sx{1.3}{of USA}} \put(0,210){\sx{2.5}{2}} \put(0,110){\sx{2.5}{1}} \put(0,10){\sx{2.5}{0}} \put(80,-4){\sx{2.5}{$-100$}} \put(214,-4){\sx{2.5}{$0$}} \put(300,-4){\sx{2.5}{$100$}} \put(400,-4){\sx{2.5}{$200$}} \put(500,-4){\sx{2.5}{$300$}} %\put(600,-2){\sx{2.5}{$400$}} \put(640,-3){\sx{2.5}{$t$, 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(230,30){\sx{2.4}{\rot{90}{\bf 2014.10.27}\ero}} \put(330,172){\sx{2.4}{\rot{90}{\bf 2015.02.04}\ero}} \put(430,172){\sx{2.4}{\rot{90}{\bf 2015.05.15}\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}} \end{picture} \end{document}