I am sure that as Julia evolves, further enhancements to the Mathematica.jl package will be made. So it is quite remarkable that we can interact with Mathematica and take advantage of its vast computational power from within Julia. Julia> ToExpression(“MyFunction = a ^ 34 MyFunction”) Julia> ToExpression(“””EmitSound]]”””)Īs the final example, I can define my own Mathematica function and execute it: What is interesting is that the result is a Julia expression, so we can access the elements of the returned array.īecause the syntax of Mathematica and Julia are different, one way to execute an actual Mathematica expression in Julia is to represent it as a String and call Mathematica’s ToExpression function on the String.Īs an example, let us use Mathematica to play some music – the notes C4 and D4, each lasting 1 second: Next, let us create an array of Lucas numbers for N = 10 to 20: Note that the answer is coming from Mathematica, not Julia. Let us start by calculating the Nth prime number, where N is 10^10: The nice thing is that we need not launch Mathematica manually for this interaction to work. Now we are all set to interact with Mathematica. The next important step is to tell Julia where it can locate the MathLink dependency files. In my case, I had already installed it in an earlier session. We have to install the Mathematica.jl package just once through Julia’s package manager. Launch Julia on the Terminal by typing julia. So I manually downloaded the ZIP file and extracted the SRC files to my local directory.įor convenience in launching Julia from the Terminal on my iMac (that is where I have my Mathematica installation), I set up an alias:Īlias julia=”/Applications/Julia-0.4.6.app/Contents/Resources/julia/bin/julia” The package Mathematica.jl is required for this interaction. I found out that this package has dependency on a couple of other files ( MathLink) that are not automatically installed by Julia’s package manager. Fourier Series Coefficients using Mathematicas. Please note that for this to work, you must have a local copy of Mathematica Julia does not replace Mathematica. Lets hear what random notes sound like: SoundNoten will play n semitones above middle C. When I saw that there is support in Julia for interacting with Mathematica, I decided to investigate it further. In this post I had explained how we can use Mathematica bundled with Raspberry distribution to control littleBits devices. Mathematica is a powerful environment for symbolic and numerical computation.
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