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SVG version of en:Image:Bell curve.png. Original creator David Remahl (en:User:Chmod007) has passed this image into the public domain. File usage.
A bell-shaped function or simply 'bell curve' is a mathematical function having a characteristic "bell"-shaped curve. These functions are typically continuous or smooth, asymptotically approach zero for large negative/positive x, and have a single, unimodal maximum at small x. Hence, the integral of a bell-shaped function is typically a sigmoid ...
In the bottom-right graph, smoothed profiles of the previous graphs are rescaled, superimposed and compared with a normal distribution (black curve). Main article: Central limit theorem The central limit theorem states that under certain (fairly common) conditions, the sum of many random variables will have an approximately normal distribution.
The graph of a Gaussian is a characteristic symmetric "bell curve" shape. The parameter a is the height of the curve's peak, b is the position of the center of the peak, and c (the standard deviation, sometimes called the Gaussian RMS width) controls the width of the "bell".
Bathtub curve; Bell curve; Calibration curve; Curve of growth (astronomy) Fletcher–Munson curve; Galaxy rotation curve; Gompertz curve; Growth curve (statistics) Kruithof curve; Light curve; Logistic curve; Paschen curve; Robinson–Dadson curves; Stress–strain curve; Space-filling curve
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Gaussian curve with a two-dimensional domain. Many shapes have metaphorical names, i.e., their names are metaphors: these shapes are named after a most common object that has it. For example, "U-shape" is a shape that resembles the letter U, a bell-shaped curve has the shape of the vertical cross section of a bell, etc.