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en:functions [2026/03/03 16:22] frankbrenneckeen:functions [2026/03/24 11:49] (current) frankbrennecke
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-{{symbol:icon_Functions.png?64x64}}+{{symbol:icon_Funktionen.png?64x64}}
 ====== Real plane : Functions ====== ====== Real plane : Functions ======
-The representation of functions in two-dimensional space is the oldest area within the mathematical application of computer graphics. CGRAPH provides the routines required for curve discussion.+The representation of [[https://en.wikipedia.org/wiki/Function_(mathematics)|functions]] in two-dimensional space is the oldest area within the mathematical application of computer graphics. CGRAPH provides the routines required for curve discussion.
  
 {{screen_EN:scr_functions.png}} {{screen_EN:scr_functions.png}}
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 CGRAPH displays functions within the area visible in the graph for the variable x. By activating the **//Define drawing area//** checkbox, you can select your own area - the function will then only be drawn for x within this area. CGRAPH displays functions within the area visible in the graph for the variable x. By activating the **//Define drawing area//** checkbox, you can select your own area - the function will then only be drawn for x within this area.
  
-In addition to the function, its first and second derivatives and the definite integral can also be displayed. The calculation is performed graphically based on the calculated values for the function. The drawing is done in different colours, which can be adjusted afterwards.+In addition to the function, its [[https://en.wikipedia.org/wiki/Differential_calculus|first and second derivatives]] and the [[https://en.wikipedia.org/wiki/Integral_calculus|definite integral]] can also be displayed. The calculation is performed graphically based on the calculated values for the function. The drawing is done in different colours, which can be adjusted afterwards. You can find out more about curve sketching [[https://en.wikipedia.org/wiki/Curve_sketching|here]]
  
 Zero points and extreme values of the function can also be plotted. These are represented by small squares around the respective point, which are in the same colour as the corresponding graph – zero points in the colour of the function, extreme values in the colour of the first derivative and inflection points in the colour of the second derivative. Zero points and extreme values of the function can also be plotted. These are represented by small squares around the respective point, which are in the same colour as the corresponding graph – zero points in the colour of the function, extreme values in the colour of the first derivative and inflection points in the colour of the second derivative.
  
-After clicking on the **//Create graph//** button, CGRAPH switches to the **//Display//** tab and displays the graph. +After clicking on the **//Create graph//** button, CGRAPH switches to the **//Graphics//** tab and displays the graph. 
  
 {{:screen:scr_funktionensample.png}} {{:screen:scr_funktionensample.png}}
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 The values can be changed retrospectively – clicking on one of the values switches CGRAPH back to the tab with the default values. The graphic is adjusted as soon as the **//Create graphic//** button is clicked. Clicking on the coloured symbol for the function, etc. allows you to quickly hide the graphic from the display. Double-clicking on the text allows you to adjust the [[Stroke2D|graphical representation]]. The values can be changed retrospectively – clicking on one of the values switches CGRAPH back to the tab with the default values. The graphic is adjusted as soon as the **//Create graphic//** button is clicked. Clicking on the coloured symbol for the function, etc. allows you to quickly hide the graphic from the display. Double-clicking on the text allows you to adjust the [[Stroke2D|graphical representation]].
  
-The **//Export//** button allows you to create a file in semicolon-separated CSV format; the x-values and the corresponding function values are exported. If not only the function but also derivatives or the integral are drawn, these are also exported in separate files.+The **//Export//** button allows you to create a file in semicolon-separated [[Exportformat|CSV format]]; the x-values and the corresponding function values are exported. If not only the function but also derivatives or the integral are drawn, these are also exported in separate files
 + 
 +The exported values can be re-used within CGRAPH, for example in [[linearalgebra2d|linear algebra]] or for [[interpolations]].
  
 [[Operating_the_Graphics|Notes on operating the graphic display]] [[Operating_the_Graphics|Notes on operating the graphic display]]
  
 [[RealPlane|Back to overview]] [[RealPlane|Back to overview]]
en/functions.1772551361.txt.gz · Last modified: by frankbrennecke

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