View source for User talk:WikiSysop

==Test external Link 29th January 2015==

[http://www.math.uni-bielefeld.de/~rehmann/xyzabc Test Link2]

[http://www.ams.org/publications/math-reviews/math-reviews URL on white list]

[http://www.xmachina.de xmachina]

[http://spon.de]

[http://springer.de]

==Test Copy&Paste HTML==
[[Test-copy-paste]]
Test
Test
==Test Asymptote==
===Test January  12th 2015===
====Case 1 modified====
<asy>
size(0,300);
pair z1=(-1,0);
pair z2=(1,0);
real r=1.5;
path c1=circle(z1,r);
path c2=circle(z2,r);
fill(c1, lightred);
fill(c2, lightgreen);
picture intersection;
fill(intersection,c1,lightred+lightgreen);
clip(intersection,c2);
add(intersection);
draw(c1);
draw(c2);
label("$A$",z1);
label("$B$",z2);
path g=(0,-2)--(0,-0.25);
draw(Label("$A\cap B$",0),g,Arrow);
</asy>
===Tests November 1th===
====Case 1 modified====
<asy>
size(0,200);
pair z1=(-1,0);
pair z2=(1,0);
real r=1.5;
path c1=circle(z1,r);
path c2=circle(z2,r);
fill(c1, lightred);
fill(c2, lightgreen);
picture intersection;
fill(intersection,c1,lightred+lightgreen);
clip(intersection,c2);
add(intersection);
draw(c1);
draw(c2);
label("$A$",z1);
label("$B$",z2);
path g=(0,-2)--(0,-0.25);
draw(Label("$A\cap B$",0),g,Arrow);
</asy>
====Case 1====
<asy>
size(0,100);
pair z1=(-1,0);
pair z2=(1,0);
real r=1.5;
path c1=circle(z1,r);
path c2=circle(z2,r);
fill(c1, lightred);
fill(c2, lightgreen);
picture intersection;
fill(intersection,c1,lightred+lightgreen);
clip(intersection,c2);
add(intersection);
draw(c1);
draw(c2);
label("$A$",z1);
label("$B$",z2);
path g=(0,-2)--(0,-0.25);
draw(Label("$A\cap B$",0),g,Arrow);
</asy>

===Tests November 17th===
====Case 1====
<asy>
size(0,400);
pair z1=(-1,0);
pair z2=(1,0);
real r=1.5;
path c1=circle(z1,r);
path c2=circle(z2,r);
fill(c1, lightred);
fill(c2, lightgreen);
picture intersection;
fill(intersection,c1,lightred+lightgreen);
clip(intersection,c2);
add(intersection);
draw(c1);
draw(c2);
label("$A$",z1);
label("$B$",z2);
path g=(0,-2)--(0,-0.25);
draw(Label("$A\cap B$",0),g,Arrow);
</asy>

===Tests November 4th===
====Case 1====
<asy>
size(0,100);
pair z1=(-1,0);
pair z2=(1,0);
real r=1.5;
path c1=circle(z1,r);
path c2=circle(z2,r);
fill(c1, lightred);
fill(c2, lightgreen);
picture intersection;
fill(intersection,c1,lightred+lightgreen);
clip(intersection,c2);
add(intersection);
draw(c1);
draw(c2);
label("$A$",z1);
label("$B$",z2);
path g=(0,-2)--(0,-0.25);
draw(Label("$A\cap B$",0),g,Arrow);
</asy>

====Case 2====
<asy>
import graph;
size(150,0);
real f(real x) {return exp(x);}
pair F(real x) {return (x,f(x));}
xaxis("$x$");
yaxis("$y$",0);
draw(graph(f,-4,2,operator ..),red);
labely(1,E);
label("$eˆx$",F(1),SE);
</asy>

====Case 3====
<asy>
import graph;
     
     size(400,200,IgnoreAspect);
     
     real Sin(real t) {return sin(2pi*t);}
     real Cos(real t) {return cos(2pi*t);}
     
     draw(graph(Sin,0,1),red,"$\sin(2\pi x)$");
     draw(graph(Cos,0,1),blue,"$\cos(2\pi x)$");
     
     xaxis("$x$",BottomTop,LeftTicks);
     yaxis("$y$",LeftRight,RightTicks(trailingzero));
     
     label("LABEL",point(0),UnFill(1mm));
     
     add(legend(),point(E),20E,UnFill);
</asy>

===Tests October 27th===
====Case 1====
<asy>
draw((0,0)--(3,7),red);
dot((0,0));
dot((3,7));
label("Produced with Asymptote "+version.VERSION,point(S),2S);
</asy>
<asy>
size(0,100);
pair z1=(-1,0);
pair z2=(1,0);
real r=1.5;
path c1=circle(z1,r);
path c2=circle(z2,r);
fill(c1, lightred);
fill(c2, lightgreen);
picture intersection;
fill(intersection,c1,lightred+lightgreen);
clip(intersection,c2);
add(intersection);
draw(c1);
draw(c2);
label("$A$",z1);
label("$B$",z2);
path g=(0,-2)--(0,-0.25);
draw(Label("$A\cap B$",0),g,Arrow);
</asy>

====Case 2====
<asy>
size(0,2cm);
draw((0,0)--(1,0)--(1,1)--(0,1)--cycle);
label("$W$",(0,0),SW);
label("$X$",(1,0),SE);
label("$Y$",(1,1),NE);
label("$Z$",(0,1),NW);
</asy> 
====Case 3====
<asy>
import three;
currentprojection=orthographic(5,4,2,center=true);
size(5cm);
size3(3cm,5cm,8cm);
draw(unitbox);
dot(unitbox,red);
label("$O$",(0,0,0),NW);
label("(1,0,0)",(1,0,0),S);
label("(0,1,0)",(0,1,0),E);
label("(0,0,1)",(0,0,1),Z);
</asy>
====Case 4====
<asy>
import three;
size(500);
path3 g=(1,0,0)..(0,1,0)..(-1,0,0)..(0,-1,0)..cycle;
draw(g);
draw(O--Z,red+dashed,Arrow3);
draw(((-1,-1,0)--(1,-1,0)--(1,1,0)--(-1,1,0)--cycle));
dot(g,red);
size(500,0);
path3 g=(1,0,0)..(0,1,1)..(-1,0,0)..(0,-1,1)..cycle;
draw(g);
draw(((-1,-1,0)--(1,-1,0)--(1,1,0)--(-1,1,0)--cycle));
dot(g,red);
</asy>
====Case 5====
[asy]
pair A,B,C,X,Y,Z;
A = (0,0);
B = (1,0);
C = (0.3,0.8);
draw(A--B--C--A);
X = (B+C)/2;
Y = (A+C)/2;
Z = (A+B)/2;
draw(A--X, red);
draw(B--Y,red);
draw(C--Z,red);
[/asy]

===Previous tests===
<asy>
draw((0,0)--(3,8),red);
dot((0,0));
dot((3,7));
label("Produced with Asymptote "+version.VERSION,point(S),2S);
</asy>


<asy>
draw((0,0)--(3,7),red);
dot((0,0));
dot((3,7));
label("Produced with Asymptote "+version.VERSION,point(S),2S);
</asy>

<asy>
draw((0,0)--(20,25),blue);
dot((0,0));
dot((20,25));
label("Asymptote - TEST xm");
</asy>


<asy>
draw((100,0)..tension 2 ..(100,100)..(0,100));
draw((100,0)..tension 2 and 1 ..(100,100)..(0,100));
draw((100,0)..tension atleast 1 ..(100,100)..(0,100));
</asy>


<asy>
draw((0,0){up}..(100,25){right}..(200,0){down});
</asy>

<asy>
import three;
currentprojection=orthographic(5,4,2,center=true);
size(5cm);
size3(3cm,5cm,8cm);
draw(unitbox);
dot(unitbox,red);
label("$O$",(0,0,0),NW);
label("(1,0,0)",(1,0,0),S);
label("(0,1,0)",(0,1,0),E);
label("(0,0,1)",(0,0,1),Z);
</asy>

<asy>
size(0,100);
path unitcircle=E..N..W..S..cycle;
path g=scale(2)*unitcircle;
filldraw(unitcircle^^g,evenodd+yellow,black);
</asy>

<asy>
size(10cm,0);
transform scale(pair center, real k) {
  return shift(center)*scale(k)*shift(-center);
}
path trk=(0,0)--(0,1);
void tree(path p, int n, real a=30, real b=40, real r=.75) {
  if (n!=0) {
    pair h=point(p,length(p));
    transform tb=rotate(180-b,h)*scale(h,r);
    transform ta=rotate(-180+a,h)*scale(h,r);
    draw(p,n/3+1/(n+1)*green+n/(n+1)*brown);
    tree(tb*reverse(p),n-1,a,b,r);
    tree(ta*reverse(p),n-1,a,b,r);
  }
}

tree(trk,12,a=25,b=40,r=.75);
</asy>

<asy>
size(12cm,0);
import geometry;
triangle T=triangleAbc(90,Tan(30),1);
triangle[] reverse(triangle[] arr)
{
  triangle[] or;
  int l=arr.length;
  for(int i=0; i < l; ++i) {
    or.push(arr[l-i-1]);
  }
  return or;
}
triangle[] dissect(triangle T, int n, bool reverse=false)
{
  if(n <= 0) return new triangle[]{T};
  triangle[] OT;

  point M=curpoint(T.AB,T.b()*Tan(30));
  point H=projection(T.BC)*M;
  triangle[] OT1, OT2, OT3;
  OT.append(dissect(triangle(H,T.B,M),n-1,!reverse));
  OT.append(reverse((dissect(triangle(H,T.C,M),n-1,!reverse))));
  OT.append(dissect(triangle(T.A,T.C,M),n-1,!reverse));
  return OT;
}
triangle[] DT=dissect(T,5);point O=centroid(DT[0]);path g;transform Ro=rotate(30,T.B), Re=reflect(T.BC), Roj;
for(int i : DT.keys) {
  O=incenter(DT[i]);
  g=g--O;
}

g=reverse(g);path G, g=g--Re*reverse(g) ;for (int j=0; j < 12; j += 2) G=G--Ro^(-j)*g;
fill(G--cycle,0.3*blue);
for(int i : DT.keys) {
  for (int j=0; j < 12; j += 2) {
    Roj=Ro^j;
    draw(Roj*DT[i],miterjoin+0.8*red);
    draw(Roj*(Re*DT[i]),miterjoin+0.8*red);
  }
}
draw(G--cycle,bp+miterjoin+0.9*yellow);
shipout(bbox(2mm, FillDraw(black, 1mm+miterjoin+deepblue)));
</asy>

<asy>
size(5cm,0);
real ab=85, ac=-5;real rc=0.8, rb=0.3;path trk=(0,0)--(0,1);
transform [] t;
t[1] =shift(0,1)*rotate(ab)*scale(rb);
t[2] =shift(0,1)*rotate(-ab)*scale(rb);
t[3] =shift(0,1)*rotate(ac)*scale(rc);real sum=0;
for(int i=0; i<100; ++i) sum+=(rc*cos(ac*pi/180))^i;
t[4] =xscale(0.01)*yscale(1/sum);
picture pic;draw(pic,trk);pair pt=(0,0);
for(int i=0; i < 1000; ++i) {
  pt=t[ 1+floor((3.0*rand()/randMax)) ]*pt;
}
int nbt;for(int i=0; i < 200000; ++i) {
  nbt=1+floor((4.0*rand()/randMax));
  pt=t[nbt]*pt;
  draw(pt);
}
</asy>


<asy>
import tube;import solids;
size(12cm,0);currentprojection=perspective((0,0,1));
int p=8, q=3;real n=p/q, R=2, r=1;
real x(real t){return (R+r*cos(n*t))*cos(t);}real y(real t){return (R+r*cos(n*t))*sin(t);}real z(real t){return r*sin(n*t);}
path3 p=graph(x,y,z,0,6pi,200,operator ..)&cycle;
revolution torus=revolution(Circle(R*X,r,Y,10),Z);
transform T(real t){return scale(0.3+0.25*sin(t*20pi));}
pen[] bpen={0.5red,0.5blue};
bpen.cyclic=true;pen pen(real t){return bpen[ceil(sin(t*20pi)-1e-3)];}
draw(tube(p,coloredpath(polygon(3),pen),T));// draw(surface(torus),yellow);
</asy>

<asy>
size(8cm,0);
import graph;
//usepackage("icomma");
xlimits( -3pi, 3pi);
xaxis(Ticks(Label(red), Step=2pi,step=pi/5,pTick=.8red));
</asy>

==Test Cite Extension==
Example: [[Cite-Extension]]

==Test MathJax==
\begin{align}
\dot{x} & = \sigma(y-x) \\
\dot{y} & = \rho x - y - xz \\
\dot{z} & = -\beta z + xy
\end{align}


\[
   \frac{1}{(\sqrt{\phi \sqrt{5}}-\phi) e^{\frac25 \pi}} =
     1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}}
      {1+\frac{e^{-8\pi}} {1+\ldots} } } }
\]



Some Text 
<math>
   \frac{1}{(\sqrt{\phi \sqrt{5}}-\phi) e^{\frac25 \pi}} =
     1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}}
      {1+\frac{e^{-8\pi}} {1+\ldots} } } }
</math>


Some Text 
:<math>
   \frac{1}{(\sqrt{\phi \sqrt{5}}-\phi) e^{\frac25 \pi}} =
     1+\frac{e^{-2\pi}} {1+\frac{e^{-4\pi}} {1+\frac{e^{-6\pi}}
      {1+\frac{e^{-8\pi}} {1+\ldots} } } }
</math>

==[[Special:AllPages|Pages A-Z]]==
Alphabetically ordered index of all pages

==[[Special:RecentChanges|Recent Changes]]==
List of previous changes on EOM

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test