Difference between revisions of "Forest UCM CoV"

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If we let S represent the path of light between two points then  
 
If we let S represent the path of light between two points then  
  
:<math>S=vt_{min}</math>
+
:<math>S=vt</math>
  
 
light takes the time <math>t</math> to travel between two points can be expressed as
 
light takes the time <math>t</math> to travel between two points can be expressed as

Revision as of 00:44, 13 October 2014

Calculus of Variations

Fermat's Principle

Fermats principle is thatlight takes a path between two points that requires the least amount of time.


If we let S represent the path of light between two points then

[math]S=vt[/math]

light takes the time [math]t[/math] to travel between two points can be expressed as

t = \int_A^B dt =\int_A^B dt =

Euler-Lagrange Equation

Forest_Ugrad_ClassicalMechanics