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9. Show that the function (i)f:NN:f(x) = x? is one-one into.(ü)f:22:f(x) = x? is many-one into.​

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ong>Answer:

The term is closely associated with the work of mathematician and METEOROLOGIST Edward Lorenz. He noted that butterfly effect is derived from the metaphorical example of the details of a tornado (the exact time of formation, the exact path taken) being influenced by minor perturbations such as a distant butterfly FLAPPING its wings several weeks earlier. Lorenz discovered the effect when he observed runs of his weather model with initial condition data that were rounded in a seemingly INCONSEQUENTIAL manner. He noted that the weather model would fail to reproduce the results of runs with the unrounded initial condition data. A very small CHANGE in initial conditions had



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