log_parabola1d-1.0.0
One dimensional log parabola model (sometimes called curved power law).
Description
One dimensional log parabola model (sometimes called curved power law).
Outline
Schema Definitions ¶
This node must validate against all of the following:
This type is an object with the following properties:
amplitude
object Required Model amplitude.
This node must validate against any of the following:
number
x_0
object Required Reference point.
This node must validate against any of the following:
number
alpha
object Required Power law index.
This node must validate against any of the following:
number
beta
object Required Power law curvature.
This node must validate against any of the following:
number
Examples ¶
\[f(x) = 10*(\frac{x}{0.5})^{-2.0-3.2\log{(\frac{x}{0.5})}}\]
!transform/log_parabola1d-1.0.0 {alpha: 2.0, amplitude: 10.0, beta: 3.2, x_0: 0.5}
Original Schema ¶
%YAML 1.1
---
$schema: "http://stsci.edu/schemas/yaml-schema/draft-01"
id: "http://stsci.edu/schemas/asdf/transform/log_parabola1d-1.0.0"
title: >
One dimensional log parabola model (sometimes called curved power law).
description: >
One dimensional log parabola model (sometimes called curved power law).
examples:
-
- $$f(x) = 10*(\frac{x}{0.5})^{-2.0-3.2\log{(\frac{x}{0.5})}}$$
- |
!transform/log_parabola1d-1.0.0 {alpha: 2.0, amplitude: 10.0, beta: 3.2, x_0: 0.5}
allOf:
- $ref: "transform-1.2.0"
- type: object
properties:
amplitude:
anyOf:
- $ref: "../unit/quantity-1.1.0"
- type: number
description: Model amplitude.
x_0:
anyOf:
- $ref: "../unit/quantity-1.1.0"
- type: number
description: Reference point.
alpha:
anyOf:
- $ref: "../unit/quantity-1.1.0"
- type: number
description: Power law index.
beta:
anyOf:
- $ref: "../unit/quantity-1.1.0"
- type: number
description: Power law curvature.
required: ['amplitude', 'x_0', 'alpha', 'beta']
...