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Because the propogator is actually in terms of the differences between the x and t values, we will write the difference between the x-vectors as <math>\Delta x</math> and the difference between the times as <math>\Delta t</math>.
 
Because the propogator is actually in terms of the differences between the x and t values, we will write the difference between the x-vectors as <math>\Delta x</math> and the difference between the times as <math>\Delta t</math>.
   −
[integral]dti [integral]g(stuff)f(stuffi)dxi dyi =
+
The integral is therefore
 +
 
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<math>\int{dti} \int{f(x_i,t_i)g(\Delta x, \Delta t) dx_i dy_i}</math>
    
f(xf, tf)
 
f(xf, tf)
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