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Graphic types in CGRAPH

CGRAPH categorises graphics according to how they can be used together. There are eight types:

Graphic type Description
Real plane A 2D space in which functions, plane curves, Polar curves, Function Families and linear algebra can be represented. It is also possible to calculate intersection points and represent implicit equations.
Real space A 3D space in which spatial curves, surfaces and objects of linear algebra can be represented. It is also possible to calculate sections and display implicit equations.
Complex plane Two 2D representations of real and imaginary axes in which circle sections, straight_lines and polylines can be displayed in their original form and as images. Individual areas can then be mapped and coloured.
Complex space A 3D space in which the curves of the real part, imaginary part or absolute value of complex functions can be represented as surfaces in complex space in the z-plane.
System functions A summary of functions in which the trajectory curve, the frequency response, the FFT and the functional behaviour of complex system functions can be displayed.
Convergences Here, the iterative behaviour of complex functions can be examined. Mandelbrot sets, Julia sets and the influence of individual parameters on the convergence curve can be examined.
Interpolations CGRAPH offers the possibility of performing various interpolations with existing value pairs and even recovering the probable underlying function. The value pairs can also be converted beforehand for this purpose.
Coordinate transformations Here, the coordinate system can be transformed by functions in two-dimensional or three-dimensional space. In addition, curves in two-dimensional space as well as curves and surfaces in three-dimensional space can then also be mapped and transformed.

The explanations shown here use examples that can be understood immediately after installing CGRAPH, as the required functions and numerical values are already preset. CGRAPH saves (can be disabled) all changes and new functions so that you can always refer back to your entries and results already achieved. In many places, entered data can be exported and also imported. Graphics can be printed or saved as (high-resolution) bitmaps for further use.

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en/graphic_types.txt · Last modified: by frankbrennecke

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