File:Hundekurven-compared-text-de.svg
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Size of this PNG preview of this SVG file: 770 × 440 pixels. Other resolutions: 320 × 183 pixels | 640 × 366 pixels | 1,024 × 585 pixels | 1,280 × 731 pixels | 2,560 × 1,463 pixels.
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Summary
[edit]DescriptionHundekurven-compared-text-de.svg |
Deutsch: Vergleich zwischen verschiedenen Hundekurven. Die jeweiligen relevanten Parameter sind 1.
English: Hound curves compared. |
Date | |
Source | File:Hundekurven-compared-text-de.png |
Author |
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This is a retouched picture, which means that it has been digitally altered from its original version. Modifications: re"drawn" as svg (svg source manually self-written). The original can be viewed here: Hundekurven-compared-text-de.png: . Modifications made by McSush.
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Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following license:
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I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
Original upload log
[edit]This image is a derivative work of the following images:
- File:Hundekurven-compared-text-de.png licensed with PD-self
- 2005-11-19T07:25:01Z W!B: 782x455 (7288 Bytes)
Uploaded with derivativeFX
Source Code
[edit]the original png image was made with "EULER":
% Hundekurven-compared-text-de: % SourceCode for EULER by W#B: 14.11.2005, Public Domain % EULER is a program for quick and interactive computations with real % and complex numbers, matrices, or with intervals. % Euler is freeware under the GNU general public license. % The Euler homepage is at http://www.rene-grothmann.de % ================================================================== >function radiodrome(y, k=1, d0=1) ## x - vektor over vektor y, y(i) <> 0!! ## d0 .. normal distance of point of return (1/x'=0) ## k .. parameter of radiodrome (factor of velocities) ## W#B: 24.10.2005 $yy=abs(y)/d0; $if abs(k)==1; x=sign(k)*((yy^2-1)/4-log(yy)/2); $ else; k1=1+k; k2=1-k; x=1/2*((yy^k1-1)/k1-(yy^k2-1)/k2); endif; $return x*d0; $endfunction >function radiodrome0(k=1, d0=1) ## x - value x at y=0 ## if no zeropoint exists, returns x=0 ## (as k=0 will give correct x=0, test for both) ## d0 .. normal distance of point of return (1/x'=0) ## W#B: 29.10.2005 $if abs(k)>=1; x=0; "radiodrome0: no zeropoint"; $ else; k1=1+k; k2=1-k; x=k/(k1*k2); endif; $return x*d0; $endfunction >function traktrix(y, d0=1) ## x - vektor over vektor y, 0 < |y(i)| <= |d0|!! ## d0 .. normal distance of cusp (1/x'=0) ## ## !returns only positive branch (x > 0) ## W#B: 06.11.2005 $yy=abs(y/d0); rr=sqrt(1-yy^2); x=log((1+rr)/yy)-rr; $return x*d0; $endfunction >function konchoide(y, b=1, d0=1) ## x - vektor over vektor y ## b .. distance parameter ## d0 .. normal distance of pole ## !returns only positive branch (x > 0) ## W#B: 17.11.2005 $x=(d0-y)/y*sqrt(b^2-y^2); $return x; $endfunction % ----------------------------------------------------------------- >d=1; >xmin=0; xmax=2*d; ymin=0; ymax=d; >delta0=0.000001; delta1=0.001; delta2=0.05; >clg; reset; hold on; >setplot(xmin,xmax,ymin,ymax+delta2); keepsquare(0); scaling(0); >y=ymin+delta0:delta1:ymax; x=radiodrome(y,1,d); >plotarea(x,y); >color(1); linewidth(1); xplot(); >color(10); textcolor(10); linewidth(2); plot(x,y); > label("RADIODROME", radiodrome(0.2,1,d)+delta2, 0.2+delta2); >color(12); textcolor(12); x=traktrix(y,d); plot(x,y); > label("TRAKTRIX", traktrix(0.3)+delta2, 0.3+delta2); >color(3); textcolor(3); x=konchoide(y,d,d); plot(x,y); > label("KONCHOIDE", konchoide(0.4,d,d)+delta2, 0.4+delta2); > "done" % ------------------------------------------------------------------
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 06:03, 23 July 2009 | 770 × 440 (2 KB) | McSush (talk | contribs) | {{Information |Description=EN: hound curves compared - DE: Hundekurven, Vergleich - {{de|Vergleich zwischen verschiedenen Hundekurven. Die jeweiligen relevanten Parameter sind 1 }} |Source=*File:Hundekurven-compared-text-de.png |Date=2009-07-23 06:0 |
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