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smithmayowa | 3 years ago

This is so true for instance mathematica's treatment on numerical integration is the most complete I have seen out there so many methods that work on very minute and specific type of functions, this is even more so when you're working with functions that have singularities in them, and therefore need to be treated piecewisely, or functions that are highly oscillating.

(https://reference.wolfram.com/language/tutorial/NIntegrateIn...)

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bowsamic|3 years ago

Yeah and tbh that's even the simple stuff. Those are widely needed, very common situations in practical mathematical/physical calculations. The thing that is really crazy is that the stuff that literally doesn't even exist in any other software, but is really necessary, such as in my case a full symbolic control systems library, is still absurdly complete.

That's why nothing can compete. Not only does Mathematica have an extremely complete implementation of common functionality, it even has an extremely complete implementation of very niche functionality. I don't think that the people who propose OSS solutions really appreciate this, probably because they aren't professional mathematicians/physicists