Based on the list of contributors to your project, I am not sure this starting location is optimally suited to the task of building a foundation for polished, reliable, expandable software.

I am not sure Octave ever had to put on that much polish. It just had to be decent enough to save $$$$ vs a Matlab license. If it can drop-in run the code that has been keeping the lab going for decades, good enough.

The notebooks were THE thing of Mathematica, at least to me. 12 years ago, as I was finishing my PhD in quantum optics, I wanted to migrate to the stack used in industry - and picked Python. Also, that way I was an early adopter of Jupyter Notebook, as it captured what was need + was open.

Now Mathematica notebooks (still remember, it is .nb) do not have the novelty factor. But they were the first to set a trend, which we now take for granted.

That said, I rarely use notebooks anymore. In the coding time, it is much easier to create scripts and ask to create a visualization in HTML.

> Closely followed by the interactive notebooks.

Mathematica's notebooks are the only environment where I can do some computation to arrive at a symbolic expression. Copy the expression from the output cell into a new input cell. Then manipulate it by hand into the form I want. Then continue processing it further.

Also, symbolic expressions can be written nicely with actual superscripts and subscripts, and with non-latin characters.

One of the best features of Mathematica system.

I disagree, the language itself is one of the more elegant parts of the system, and enables a lot of the rest of the elegance.

From a purely programming language theory, it's pretty unique.

I once tried to find a language that had all the same properties, and I failed. The Factor language is probably the closest. But they are still pretty different.

First I believe there is no such thing as the Mathematica language, it's Wolframscript which is useful in a bunch of different applications. And second, if you don't have access to a $1000 / yr wolfram subscription, this would be the next best thing.

Hard to tell honestly. So far there was always some surprisingly straight forward solution If had any problems with the math engine. There is actually a lot of public research how equations can be solved/simplified with computer algorithms. So I'm optimistic. I also stumbled upon a few cases where Mathematica itself didn't quite do things correctly itself (rounding errors, missing simplifications, etc.). So maybe it's actually a little overhyped …

I think Wolfram Language is just so much more ergonomic. No need to import dependencies - everything's included and consistent, very readable - yet compact - syntax, less gotchas than Python, R, etc., sensible default, …

You can find the whole integration routine here https://github.com/ad-si/Woxi/blob/36343ab2cbc97e5081f7c811e.... It's essentially a test mock-up (not even trying partial fraction decomposition for rational functions).

https://github.com/ad-si/Woxi/graphs/contributors

That's actually a value that Wolfram determines themselves. Here is the documentation for it: https://reference.wolfram.com/language/ref/WolframLanguageDa...

Here is e.g. all the values for the Plus[] function:

$ wolframscript -code 'WolframLanguageData["Plus", "Ranks"]' {All -> 6, StackExchange -> 8, TypicalNotebookInputs -> 5, TypicalProductionCode -> 6, WolframAlphaCodebase -> 6, WolframDemonstrations -> 4, WolframDocumentation -> 4}

Exactly! And:

- Faster startup time because of no license check

- Can run multiple instances of Woxi at the same time

- Embeddable via WASM

- Configurable via compile time flags (which features should be included)

- …

Yeah, I've already looked into it, but decided to keep developing it "example driven" for now. Aka I'm playing around with it, and whenever I find something that's broken I keep a note of it and then I pick those notes one by one and implement them. Once the most common things are implemented I will start writing property tests to catch all the edge cases of each feature.

are all the tests hand written or are some agent-contributed? curious

Did you actually review 313,397 LOC written by claude? And you wrote the tests? That's honestly very impressive if yes.

https://en.wikipedia.org/wiki/Illegal_number

Which patent are you referring to?