Derivative And Integral
Introduction
A series of nodes that allow to calculate the derivative and the integral of a function. This last approach is used to propose two new functions: the gamma and beta functions
Features and description of the parameters
there are 7 different geometry nodes ; to use them, just drag and drop into the “geometry node” window
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abscissa_gen to generate a «abscissa » field
Input • abscissa start : begining of the field • abscissa end : end of the field • subdivision : number of points Output • abscissa gen : begining of the field • abscissa geometry : a mesh composed of the previous field • subdivision : number of points p { line-height: 115%; margin-bottom: 0.25cm; background: transparent } |
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Derivative : to compute the derivative of a function
Input • abscissa field : has to be linked with abcissa_gen • ordinate field : has to be linked with the generated function • abscissa mesh : has to be linked with abcissa_geometry Output • derivate field : values of the derivative (field) • Starting function : mesh of the function • derivate mesh : mesh of the derivate p { line-height: 115%; margin-bottom: 0.25cm; background: transparent } |
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gen_function : to plot a function Input • abscissa field: has to be linked to abcissa_gen • ordinate field : has to be linked with the generated function • abscissa mesh : has to be linked with abcissa_geometry • material : material of the resulting mesh • Start plot : the point at which the plot begins • End plot : the point at which the plot ends • Radius : radius of the curve
Output • mesh geometry : mesh of the derivative • curve geometry : here is the curve p { line-height: 115%; margin-bottom: 0.25cm; background: transparent } |
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Integrate : to compute the integral of a function Input • abscissa field: has to be linked to abcissa_gen • ordinate field : has to be linked with the generated function • abscissa mesh : has to be linked with abcissa_geometry • subdivision : has to be linked to abcissa_gen Output • String result : result of the integral « in a text form » • Mesh area : show the area between the function and the abcissa axis • Starting function : mesh of the function • Integration result : (float) result of the computation p { line-height: 115%; margin-bottom: 0.25cm; background: transparent } |
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representation grid : to show the cartesian frame Input • y range : y-size of the frame • x range : x-size of the frame • hide basis : show/hide the basis of the frame
Output • Geometry : mesh of the frame p { line-height: 115%; margin-bottom: 0.25cm; background: transparent } |
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The possibility of calculating integrals allows to create new functions
- gamma function : node which calculate the gamma function
- beta function : node which calculate the beta function
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which allow to
compute the factorial owing to the relationship : 
