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

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

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

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

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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

The possibility of calculating integrals allows to create new functions

- gamma function : node which calculate the gamma function which allow to compute the factorial owing to the relationship :

- beta function : node which calculate the beta function