tableofzero

There is a benchmark of Sympy vs Mathematica at https://www.12000.org/my_notes/CAS_integration_tests/reports...

The results were Mathematica failed to solve 1,523 problems, Sympy failed to solve 48,529.

So it has some catching up to do.

By far the most popular programming language in the world is propriatary -- Excel.

>machine learning development has just stopped dead

From https://reference.wolfram.com/language/guide/SummaryOfNewFea...

New in machine learning in 13.1 ...

ContentDetectorFunction (updated) — support for Information DimensionReducerFunction(updated) ▪ FeatureExtractorFunction(updated) FindClusters (updated) — support for fixed number of clusters and UpTo ClusterClassify(updated) ▪ ClusteringComponents(updated) Interpretable Machine Learning FeatureValueImpactPlot — plots the impact of a feature on a model result FeatureImpactPlot — plots the impact of each feature together CumulativeFeatureImpactPlot — plots the cumulative impact of each feature FeatureValueDependencyPlot — plots the result dependency on a feature value Network Layers » ReplicateLayer (updated) — support for integer arrays RandomArrayLayer (updated) — support for more statistical distribution AttentionLayer (updated) — support for dropout and local masking ElementwiseLayer (updated) — new activations "Mish" and "GELU" ThreadingLayer(updated) ▪ FunctionLayer(updated) Network Training » NetTrain (updated), LossFunction (updated) — support for multi-output and nonscalar loss Encoders & Decoders » "Image" (updated) — resampling and padding support "Class" (updated) — support for top-k and top-p sampling (nucleus sampling) Formats "ONNX" (updated) — export support for net operators

> There is no other use for Wolfram Language scripts outside of Mathematica, which comes with a "license server". That's... a dead end.

Yes. They call it Wolfram Engine

>Can I publish Wolfram code in Docker Hub and expect it to work (legally)? No.

Yes, they call it Wolfram Application Server (does require a license)

>Can I throw some Wolfram code into an Azure Function and have it compute something for me on demand? Nope.

Yes: https://reference.wolfram.com/language/ref/RemoteBatchSubmit...

The math of rogue waves is discussed at https://community.wolfram.com/groups/-/m/t/2399430

Mathematica has some great machine learning tools https://reference.wolfram.com/language/guide/MachineLearning... it looks like the have added even more http://www.wolfram.com/language/new-in-12/