Scaling Axes in Mathematica for ParametricPlot

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SUMMARY

The forum discussion centers on scaling axes in Mathematica using the ParametricPlot command. The user, Konig, seeks to modify the x-axis range from -1 to infinity by applying the transformation \(\Rho \to \frac{\Rho}{2 + \Rho}\). The provided script includes a definition error, and the conversation highlights the need for clarity on whether the goal is solely to scale the axes or to plot a more complex function. The discussion emphasizes the importance of understanding the intended outcome before proceeding with the scaling process.

PREREQUISITES
  • Familiarity with Mathematica software
  • Understanding of the ParametricPlot function in Mathematica
  • Basic knowledge of nonlinear transformations
  • Experience with plotting functions and managing plot ranges
NEXT STEPS
  • Research the use of the ParametricPlot function in Mathematica
  • Learn about nonlinear axis scaling techniques in Mathematica
  • Explore the concept of function transformations and their graphical implications
  • Investigate common errors in Mathematica scripting and how to troubleshoot them
USEFUL FOR

This discussion is beneficial for Mathematica users, data visualizers, and anyone interested in advanced plotting techniques, particularly those looking to manipulate axis scaling for parametric functions.

Konig
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Hi,

Am plotting a graph and need to scale the axes so that i can take my range of 'x'-axis values from -1 to infinity.

I shall provide script, but i am using the ParametricPlot command.

ParametricPlot[tab2, {up, -1 + 10^-7, 10},
AxesLabel -> {"\[Rho]", "u'"}, PlotRange -> {{-1, 2}, {-1, 0}},
AspectRatio -> 1]

Where rho is my x-axis.

I wish to scale the axis such that [tex]\Rho -> \Rho/(2 + \Rho) [\tex]<br /> <br /> I am aware there is a definition error in the script.<br /> <br /> Thanks in advanced,<br /> <br /> Konig.[/tex]
 

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Can you perhaps more simply explain what you really want to do?

Is your question really that you only want to scale the axes?

Or is your question really that you are trying to ParametricPlot a table of function of list of function of symbol of I don't know?

If all you want to do is nonlinear scale the axes from 0 to infinity onto 0 to 1 then choose a very very simple function to start with and we can try to get the scaling correct.

If instead you are trying to Plot lists then we must start with very different questions.
 

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