imported>Mathias |
imported>Mathias |
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| ==Getting Started== | | ===Purpose=== |
| In general, data is stored in a dataset object.
| | Outputs a sigmoid function. |
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| | ===Synopsis=== |
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| | :[y,y1,y2] = peaksigmoid(x,ax) |
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| ==From a GUI== | | ===Inputs=== |
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| Using PLS_Toolbox and Solo, it is easy to import data into a dataset object using the data importer. From the workspace browser select File/Import Data to launch the GUI.
| | * '''x''' = 3 element vector where |
| | :* x(1) = coefficient |
| | :* x(2) = offset |
| | :* x(3) = decay constant |
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| ==From the MATLAB Command Line== | | ===Outputs=== |
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| From the command line, the easiest way to create a dataset is to pass an array to the dataset function. First we will create an array of data to be passed to the dataset function.
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| <pre>
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| >> t = [0:0.1:10]';
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| >> x = [cos(t) sin(t) exp(-t)];
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| >> data = dataset(x)
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| data =
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| name: x
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| type: data
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| date: 23-May-2016 11:24:53
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| moddate: 23-May-2016 11:24:53
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| data: 101x3 [double]
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| label: {2x1} [array (char)]
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| Mode 1 [: ]
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| Mode 2 [: ]
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| axisscale: {2x1} [vector (real)] (axistype)
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| Mode 1 [: ] (none)
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| Mode 2 [: ] (none)
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| title: {2x1} [vector (char)]
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| Mode 1 [: ]
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| Mode 2 [: ]
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| class: {2x1} [vector (double)]
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| Mode 1 [: ]
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| Mode 2 [: ]
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| classid: {2x1} [cell of strings]
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| include: {2x1} [vector (integer)]
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| Mode 1 [: 1x101]
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| Mode 2 [: 1x3]
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| history: {1x1 cell} [array (char)]
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| OTHER: [View Class Summary]
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| </pre>
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| Alternatively we could start with an empty dataset and assign the the array x to its data field.
| | <math>\sqrt{1-e^2}</math> |
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| <pre> | | <math>f\left( {{a}_{i}},\mathbf{x} \right)={{x}_{1}}\left[ {{x}_{4}}{{\operatorname{e}}^{\frac{-4\ln \left( 2 \right){{\left( {{a}_{i}}-{{x}_{2}} \right)}^{2}}}{x_{3}^{2}}}}+\left( 1-{{x}_{4}} \right)\left[ \frac{x_{3}^{2}}{{{\left( {{a}_{i}}-{{x}_{2}} \right)}^{2}}+x_{3}^{2}} \right] \right]</math> |
| newdata = dataset;
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| newdata.data = x;
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| </pre> | |
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| Similarly we may set the other fields of the dataset object individually.
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| <pre> | | <math>f\left( {{a}_{i}},\mathbf{x} \right)={{x}_{1}}\left[ {{x}_{4}}{{\operatorname{e}}^{\frac{-4\ln \left( 2 \right){{\left( {{a}_{i}}-{{x}_{2}} \right)}^{2}}}{x_{3}^{2}}}}+\left( 1-{{x}_{4}} \right)\left[ \frac{x_{3}^{2}}{{{\left( {{a}_{i}}-{{x}_{2}} \right)}^{2}}+x_{3}^{2}} \right] \right]</math> |
| vars = {'cos(t)';'sin(t)';'exp(-t)'};
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| newdata.author = 'Data Manager'; %sets the author field
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| newdata.label{2} = vars; %sets the labels for columns = dimension 2
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| newdata.labelname{2} = 'Variables'; %sets the name of the label for columns
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| newdata.axisscale{1} = t; %sets the axis scale for rows = dimension 1
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| newdata.axisscalename{1} = 'Time'; %sets the name of the axis scale for rows
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| newdata.title{1} = 'Time (s)'; %sets the title for rows
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| newdata.titlename{1} = 'Time Axis'; %sets the titlename for rows
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| newdata.title{2} = 'f(t)'; %sets the title for columns
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| newdata.titlename{2} = 'Functions'; %sets the titlename for columns
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| </pre> | |
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| ==Exporting Dataset to desired format== | | |
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| | <math>f\left( {{a}_{i}},\mathbf{x} \right)={{x}_{1}}\left[ {}+\left( 1-{{x}_{4}} \right)\left[ \frac{1-x_{3}^{2}}{{{\left( \right)}+x_{3}^{2}} \right] \right]</math> |
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| | * '''y(1) ''' = |
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| | * '''y(2) ''' = <math>{\operatorname{d}\!y\over\operatorname{d}\!{x}_{i}}</math> |
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| | * ''' y(3) ''' = <math>{\operatorname{d^2}\!y\over\operatorname{d}\!{{x}_{i}}^{2}}</math> |
Purpose
Outputs a sigmoid function.
Synopsis
- [y,y1,y2] = peaksigmoid(x,ax)
Inputs
- x = 3 element vector where
- x(1) = coefficient
- x(2) = offset
- x(3) = decay constant
Outputs
![{\displaystyle f\left({{a}_{i}},\mathbf {x} \right)={{x}_{1}}\left[{{x}_{4}}{{\operatorname {e} }^{\frac {-4\ln \left(2\right){{\left({{a}_{i}}-{{x}_{2}}\right)}^{2}}}{x_{3}^{2}}}}+\left(1-{{x}_{4}}\right)\left[{\frac {x_{3}^{2}}{{{\left({{a}_{i}}-{{x}_{2}}\right)}^{2}}+x_{3}^{2}}}\right]\right]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/965a5fa73fcc814b61ed64985798616e4e0a5843)
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f\left( {{a}_{i}},\mathbf{x} \right)={{x}_{1}}\left[ {}+\left( 1-{{x}_{4}} \right)\left[ \frac{1-x_{3}^{2}}{{{\left( \right)}+x_{3}^{2}} \right] \right]}
- y(2) =
- y(3) =
