![]() Much like with plot! and scatter!, the contour function also has a mutating version contour! which can be used to modify the plot after it has been generated. is shorthand for broadcasting since x' is of size (1, 100) and y is of size (50, ), z = f(x', y) will broadcast the function f over x' and y and yield a matrix of size (50, 100). In the tutorial, we mentioned that the macro evaluates whatever is to the right of it in an element-wise manner. You can check the shape of x' by typing size(x'). This is the adjoint operator and makes x a row vector. Let's define some ranges and a function f(x, y) to plot. All of the plots generated on this page use PythonPlot, although the code will work for the default GR backend as well. The first time you call pythonplot(), Julia may install matplotlib for you. PythonPlot requires the PythonPlot.jl package which can be installed by typing ] and then add PythonPlot into the REPL. This curve is known as the Folium of Descartes.The easiest way to get started with contour plots is to use the PythonPlot backend. Use the contour to sketch the graph of the implicit equation `x^3+y^3=3xy`.Use the contour command to force 20 level curves for the function `f(x,y)=2+3x-2y`.Use contour to sketch the level curves `f(x,y)=c` for `f(x,y)=x^2+4y^2` for the following values of `c`: 1,2,3,4, and 5.Use the clabel command to automatically label the level curves. Use contour to sketch default level curves for the function `f(x,y)=sqrt(1-x-y)`.Follow the lead shown in the downloadable file levels.py shown in the section above. You are encouraged to write a small Python file to generate the result for each exercise. ![]() ![]() In each of the following exercises, obtain a printout of your result and the Python that produced the result. When you close the figure window, the file will be save and the rest of the code will be executed. If you want to see a file before it is save, uncomment the show() command for the image you'd like to see. Type the command python levels.py and all of the files used in this activity will be generated. Open a terminal window or a DOS window, then use the cd command to change to the directory in which you downloaded the file levels.m. The file levels.py is designed to be run from a terminal window or DOS window. Download the file to a directory or folder on your system. You can download the Python file at the following link. We include it here for those interested in discovering how we generated the images for this activity. Hikers and backpackers are likely to take along a copy of a topographical map when verturing into the wilderness (see Figure 1). Let's begin with a short discussion of the level curve concept. In this activity we will introduce Matplotlib's contour command, which is used to plot the level curves of a multivariable function. One of the packages included in the EPD distribution is Matplotlib, which allows the user to make 2D plots with commands that are almost identical to those used in Matlab. Once you have the EPD distribution installed, you can continue with this level curve activity. Ipython will open with the "PyLab" interface. On Mac and Linux, open a terminal window and type ipython -pylab at the prompt.Double-clicking this icon will start Ipython with the "pylab" interface. The Windows installation will put a "PyLab" icon on the desktop.Installation is a breeze it's double-click and accept the defaults. Simply visit the following URL:Īnd download the version compatible with your operating system. The simplest way to get a Python environment with all the packages needed for a successful scientific environment is to download (free for academics) the Enthought Python Distribution, available for Windows, Mac OS X, and Linux. This activity requires that the following software is installed on your system:
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