# Difference between revisions of "Random walks"

Number of random walks:

Fixed values in this simulation are:

• stepsize ${}=5$ and
• Number of steps per walk ${}= 100$.

Therefore, the expected squared distance from the starting point will be equal to

• $100\cdot 5^2=2500$.

Average square of the distance between starting point and endpoint of the walks:

### Source code

<jsxgraph width="600" height="600">
var brd = JXG.JSXGraph.initBoard('jxgbox', {originX: 300, originY: 300, unitX: 3, unitY: 3});
var t = brd.createElement('turtle');

function run() {
var i,j,dist,sumdist=0.0;
var stepSize = 5;
brd.suspendUpdate();
var nr = $('number').value*1; for (i=0;i<nr;i++) { t.setPenColor(JXG.hsv2rgb(Math.round(Math.random()*255),Math.random(),Math.random())); for (j=0;j<100;j++) { var a = Math.floor(360*Math.random()); t.right(a); t.forward(stepSize); } dist = t.pos[0]*t.pos[0]+t.pos[1]*t.pos[1]; sumdist += dist; t.home(); }$('output').value = (sumdist/nr).toFixed(3);
brd.unsuspendUpdate();
}
function clearturtle() {
t.cs();
}
</jsxgraph>