# Mathematica plot of a function from [0,1] to the complex plane

• Mathematica
• ehrenfest
In summary, to plot a function in Mathematica, you can use the Plot function with the desired function and range of values. For more complex plots, you can use the ParametricPlot function. Labels and a title can be added using the PlotLabels and PlotLabel options. The color and style of the plot can be changed using the PlotStyle option. Multiple functions can also be plotted on the same graph using the Plot function.
ehrenfest
If I have a function from [0,1] to the complex plane, is there a way that I can plot it with Mathematica 6.0?

use something like:

Code:
ParametricPlot[{Re[f[x]], Im[f[x]]}, {x, x_i, x_f}]

this will plot the imaginary part of f[x] on the y-axis and the real part of f[x] on the x-axis, much like a complex plane.

Refer:

Yes, it is possible to plot a function from [0,1] to the complex plane using Mathematica 6.0. Mathematica has built-in functions such as ComplexPlot and ParametricPlot that can be used to plot complex functions. Additionally, you can also use the Plot function and specify the real and imaginary components separately using the Re and Im functions. The resulting plot will show the function's values in the complex plane over the range [0,1].

## 1. How do I plot a function in Mathematica?

To plot a function in Mathematica, you can use the Plot function. For example, to plot the function f(x) = x^2, you can use the code Plot[x^2, {x, 0, 1}]. This will plot the function from x = 0 to x = 1 on the x-axis.

## 2. How can I plot a function from [0,1] to the complex plane?

To plot a function from [0,1] to the complex plane in Mathematica, you can use the ParametricPlot function. For example, to plot the function f(t) = e^(i*t), you can use the code ParametricPlot[{Cos[t], Sin[t]}, {t, 0, 1}]. This will plot the points (Cos[t], Sin[t]) on the complex plane for values of t from 0 to 1.

## 3. Can I add labels and a title to my Mathematica plot?

Yes, you can add labels and a title to your Mathematica plot using the PlotLabels and PlotLabel options. For example, to add a label to the x-axis, you can use the code Plot[x^2, {x, 0, 1}, PlotLabels -> {"x-axis"}]. To add a title to your plot, you can use the code Plot[x^2, {x, 0, 1}, PlotLabel -> "Function Plot"].

## 4. How do I change the color or style of my plot in Mathematica?

To change the color or style of your plot in Mathematica, you can use the PlotStyle option. For example, to change the color to blue, you can use the code Plot[x^2, {x, 0, 1}, PlotStyle -> Blue]. You can also use other style options such as Dashed, Dotted, or Thick to change the appearance of your plot.

## 5. Can I plot multiple functions on the same plot in Mathematica?

Yes, you can plot multiple functions on the same plot in Mathematica using the Plot function. For example, to plot the functions f(x) = x^2 and g(x) = x^3 on the same plot, you can use the code Plot[{x^2, x^3}, {x, 0, 1}]. This will plot both functions on the same plot with different colors to differentiate them.

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