 MagicPlot Manual

Plotting and nonlinear fitting software

integration

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 integration [Mon Jun 3 15:41:24 2013]Alexander integration [Sun Nov 8 12:21:24 2015] Line 1: Line 1: - ====== Integration (Pro edition only) ===== - Open Table or Figure or Fit Plot with initial data and select ''​Processing -> Integrate''​ menu item. - {{:​integrate.png?​nolink|}} - - ===== Baseline Correction ===== - If your initial data to be integrated contains a baseline (usually constant or linear), you may want to subtract it from data **before** integrating. (A constant baseline will result in linearly growing integral.) ​ - - In such case the algorithm may be the following: - - Create Fit Plot with your initial table data - - Add a Fit Curve which simulates the baseline. You may specify a custom equation (Pro edition only) - - Specify Fit Interval so that it contains only noise points - - Fit the data by clicking ''​Fit Sum''​ button - - Subtract the baseline fitting curve from data by checking ''​Baseline''​ checkbox in curves list - - Use menu ''​Processing → Integrate''​ to integrate the plotted data without baseline. - - ===== Formula ===== - To perform integration you should specify two columns: //x// and //y//. Missing values are ignored. - - MagicPlot uses [[wp>​Trapezoidal_rule|trapezoidal rule]] to compute the integral: - - <​m>​I_n = 1/2 sum{i=2}{n}{(x_i} − x_{i − 1}) ({y_i + y_{i − 1})},~ n=2...N;~~ I_1=0​ - - ===== See Also ===== - * [[processing]] - * [[Differentiation]]
integration.txt · Last modified: Sun Nov 8 12:21:24 2015 (external edit)

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