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10-20-2005, 12:12 PM
I can give you two replies
1. absolute certainty means that the cumulative probability function is exactly 1. However, if the random variable is time, probability 1 means the end of one's life.
2. All math is invented in order to find a solution to a problem. Absolute certainty means that there is one and only one solution to the problem. When there is one solution, mathematicians call this type of problem linear. However, there are an infinite number of linear problems with different slopes. Solving them can be done by solutions of simultaneous equations. If lines are parallel then no simultaneous solution exists. But for nonlinear problems there are infinite number of solutions to a problem. One can then always select a solution that is applicable to a particular situation.
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
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