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Nonlinear transforms describe mappings where the output does not change in direct proportion to the input. Unlike linear transforms, which preserve straight lines, uniform scaling, and parallelism, nonlinear transforms can bend, twist, stretch, or compress space in uneven ways. A small change in input can sometimes produce a large change in output, while in other regions the same change may barely matter at all. This behavior is common in nature and mathematics, appearing in phenomena like popul
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