| polymorphism -
02-13-2008, 03:12 PM
Polymorphism, homomorphism, isomorphism, automorphism, holomorphism are a few of the known mapping correspondences studied by mathematicians. These could be 1 to 1, 1 to many, many to 1, or even many to many. The second and the last are not well defined in mathematics of functional analysis therefore they are considered meaningless. However, the rise of digital computers and their powerful capability allow the reexamination of the many to many correspondences known as polymorphism.
A good example of a polymorphic system is the internet. It is really based on the networking of a complex system of neural connections similar to the human brain. But this similarity ends when it can be realized by mathematical induction that the internet is really one dimensional in its signal processing. One dimensional in this sense means it follows a serial sequence of inputs and outputs even though random access memory (RAM) is possible but not random response connectivity.
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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Linear Mode
