Just a few examples of things you wouldn't be able to do: But these two features are so deeply integrated into Mathematica that the usability of the system suffers greatly if they are not available. Similarly, you may think that you can live without creating Dynamic user interfaces.
You may think that you would only want to type plain-text code, and you don't need 2D input. any kind of non-plaintext input such as mathematical notation or graphics. It's been a while ago since last time I tried Jupyter with Mathematica, and things may have improved since then, so I will only focus on limitations that I believe cannot be addressed. While using Jupyter is much better than using the "naked" Mathematica kernel from the command line, and may be suitable for occasional use, it is not nearly comparable to using the full Mathematica notebook interface. Integral = integral /.The quality and usability of Jupyter with Mathematica is nowhere near that of the native notebook interface. Here's my modest attempt to (somewhat) modernize WalkD: Format, TraditionalForm] := DisplayForm[RowBox[, Put another way: how Mathematica does things doesn't necessarily correspond to "manual" methods. Optimizations, and the efficiency of a computation can be greatlyĪffected by whether the details of the computation do or do not allowĪ given internal optimization to be used. The detailed implementation of this algorithm will actually behave inĪ typical problem is that Mathematica has many internal Usually extremely difficult to reach a reliable conclusion about how Of Mathematica are quite complicated, and even given a basicĭescription of the algorithm used for a particular purpose, it is That you will be able to make in specific computations as a result ofīut most often the analyses will not be worthwhile. And there are indeed occasionally major improvements Order to predict which way of doing a given computation will be the Sometimes seem worthwhile to try to analyze internal algorithms in
Particularly in more advanced applications of Mathematica, it may Without having to think in detail about how these operations areĪctually carried out inside your computer. Indeed, one of the main points of Mathematica is that it provides anĮnvironment where you can perform mathematical and other operations Usually much less important in practice than you might at first Internals of Mathematica may be of intellectual interest, it is You should realize at the outset that while knowing about the For differentiation at least, old versions of Mathematica had a demonstration function called WalkD that holds your hand and shows what is done at each stage up until the final answer.
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