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# 1D Models

## Operations

These models perform simple mathematical operations.

- `Const1D` model returns the constant replicated by the number of input x values.

- `Multiply` model multiples the input x values by a factor and propagates units if the factor is a `Quantity`.

- `RedshiftScaleFactor` model multiples the input x values by a (1 + z) factor.

- `Scale` model multiples by a factor without changing the units of the result.

- `Shift` model adds a constant to the input x values.

## Shapes

These models provide shapes, often used to model general x, y data.

- `Linear1D` model provides a line parameterizied by the slope and y-intercept

- `Sine1D` model provides a sine parameterized by an amplitude, frequency, and phase shift.

- `Cosine1D` model provides a cosine parameterized by an amplitude, frequency, and phase shift.

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## Profiles

These models provide profiles, often used for lines in spectra.

- `Box1D` model computes a box function with an amplitude centered at x_0 with the specified width.

- `Gaussian1D` model computes a Gaussian with an amplitude centered at x_0 with the specified width.

- `KingProjectedAnalytic1D` model computes the analytic form of the a King model with an amplitude and core and tidal radii.

- `Lorentz1D` model computes a Lorentzian with an amplitude centered at x_0 with the specified width.

- `RickerWavelet1D` model computes a RickerWavelet function with an amplitude centered at x_0 with the specified width.

- `Moffat1D` model computes a Moffat function with an amplitude centered at x_0 with the specified width.

- `Sersic1D` model computes a Sersic model with an amplitude with an effective radius and the specified sersic index.

- `Trapezoid1D` model computes a box with sloping sides with an amplitude centered at x_0 with the specified width and sides with the specified slope.

- `Voigt1D` model computes a Voigt function with an amplitude centered at x_0 with the specified Lorentzian and Gaussian widths.

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