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AntonioLao
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10-19-2005, 11:53 AM

Quote:
Originally Posted by GUILLE
But most of the nonlinear partial differential equations, in contrast, have no possible solution. How can this be?
The key point is that there are no constants (scalars: real or complex) in nonlinear math. In linear physics there are constants like the speed of light of special relativity, Planck's constant in QM; in nonlinear general relativity, there is no explicit constants although the universal constant of gravity, G, is implied. Dirac used to think that by the principle of extremely large numbers, G is not a constant. If numbers are all very large, it is very difficult to measure which one among them is the largest.
Quote:
Originally Posted by GUILLE
Is nonlinearity so chaotic, random and uperiodic?
another word to describe nonlinearity is its unpredictability.


Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²
  
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