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Mathematica vs matlab vs maple vs python8/11/2023 ![]() ![]() So, when I ran the Monte Carlo simulation (as advanced Wolfram Language users will understand), even a simulation of only one thousand points took demonstrably longer than I expected. (A complete example of the code is available in my sample Monte Carlo simulation project addendum.) When I first drafted this program in the Wolfram Language, I essentially rewrote my Python code verbatim, For loops and all. The next step in the assignment is to write the Monte Carlo simulation. ![]() Here’s some sample code I wrote in Python as an undergrad: This way, if you call multiple self-created functions, the iterating variables won’t inadvertently get mixed up. i, j, k, l, etc.) or use the Module function. ![]() When defining multiple functions in the Wolfram Language, use a series of different iterating variables (i.e.Also, never use _ in your function names because this denotes a pattern sequence in the Wolfram Language. Never capitalize the first letter of your self-created Wolfram Language function because Wolfram-defined functions are all written using camelcase.Instead, use Table, Map or other Wolfram functions to speed up your code. For loops and While loops are not the best method for looping in the Wolfram Language.You can also highlight a section of code input and use the shortcut Alt + / (or Command + / on macOS) for commenting. Comments in the Wolfram Language are created using (* *) as compared to # or "" in Python.When writing these self-created functions in the Wolfram Language, I discovered four best practices: The next step in the assignment is to create your own functions to compute both the average and standard deviation and to sample a random value from the normal distribution defined by this average and standard deviation. This task is simple for both programming languages, but in the Wolfram Language, we can pull the actual return on investment data directly from the Wolfram Knowledgebase: One of the first steps is to assign a variable to the list of percentages of returns on investment between 20. Now, let me walk you through this assignment. This process allowed me to take my code and evaluate it for comparable speeds. So I followed these instructions to configure Python in Mathematica. When redoing this project in the Wolfram Language, I decided to configure Python to run within my package of Mathematica. Write a discussion on our simulation and the results.Write the Monte Carlo simulation in Python.The Wolfram Language has advantages over other languages with its built-in access to dynamic, real-world data.Īs an undergrad, my first project using Python was writing a Monte Carlo simulation that was based on a set of previous example returns to estimate a simple return on investment.The Wolfram Language works best when written to take advantage of its strengths instead of mirroring programming styles used by other languages.I could quickly mirror my undergrad Python code in the Wolfram Language, but ended up learning two very important lessons: So one Saturday, I sat down at my computer to figure out the Wolfram Language’s functionality by rewriting an assignment from my undergraduate Introduction to Computing course. Although I had been exposed to Mathematica multiple times during my Ph.D., I had never thought of the Wolfram Language being comparable to Python and didn’t realize it could be used for “actual” programming until I started working at Wolfram. research group is a strong Mathematica user and suggested I double-check results originally analyzed using Python with his Mathematica notebook. I was introduced to Mathematica in graduate school in my advanced quantum mechanics course, during the first semester of my Ph.D. My undergraduate research demanded that I learn bash scripting and Tcl and that I continue using Python. This interest continued through college, where I was classically trained in both Python and Java but continued to use Wolfram|Alpha for math and chemistry. I discovered Wolfram in high school, where I was-and still am!-fascinated by Wolfram|Alpha’s natural language capability and knowledgebase. I very quickly felt comfortable using Mathematica in both of these capacities, but I had yet to truly use it as a programming platform with the Wolfram Language. Since I started working at Wolfram, I have been almost exclusively using Mathematica, not only as computing software but also as a program in which to write documents. ![]()
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