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Question

In the field of chaos theory, which of the following would be classified as chaotic?

A
Digits of the number pi
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B
Cloud formation
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C
Atomic masses of chemical elements
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D
The mechanism of a clock
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E
The electromagnetic spectrum
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Solution

The correct option is B Cloud formation

Chaos theory is the field of study in mathematics that studies the behavior of dynamical systems that are highly sensitive to initial conditions—a response popularly referred to as the butterfly effect. Small differences in initial conditions (such as those due to rounding errors in numerical computation) yield widely diverging outcomes for such dynamical systems, rendering long-term prediction impossible in general. This happens even though these systems are deterministic meaning that their future behavior is fully determined by their initial conditions, with no random elements involved. In other words, the deterministic nature of these systems does not make them predictable. This behavior is known as deterministic chaos or simply chaos. The theory was summarized by Edward Lorenz as:

Chaos: When the present determines the future, but the approximate present does not approximately determine the future.

Chaotic behavior exists in many natural systems, such as weather, climate and cloud formation.

Hence correct answer is B, Cloud formation.


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