High Quality Content by WIKIPEDIA articles! Many natural processes and complex system learning curves display a history dependent progression from small beginnings that accelerates and approaches a climax over time. For lack of complex descriptions a sigmoid function is often used. A sigmoid curve is produced by a mathematical function having an "S" shape. In general, a sigmoid function is real-valued and differentiable, having either a non-negative or non-positive first derivative and exactly one inflection point.

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