The JuliaSymbolics Organization Roadmap We need new Computer Algebra Systems (CAS) for this new era of computing. We need a CAS that dispatches in the multiple ways we think. We need a CAS that scales exponentially like our problems. We need a CAS that integrates with our package ecosystem, letting …

This is really exciting. One challenge I’ve faced w/ CAS (like Mathematica) is to solve problems w/ N-variables . Consider a simple example of utility maximization with N-good Cobb-Douglas utility: \max \text{ } \frac{1}{2} \log \left( x_{1} \right) + \frac{1}{2} \log \left( x_{2} \right) + \cd…

You mean you want symbolic dynamically-sized arrays?

I want to be able to define a function of N-variables such as f(x) = \frac{1}{2} \log \left( x_{1} \right) + \cdots +\frac{1}{2} \log \left( x_{N} \right) And then compute its analytic derivative, which in this case we know is: f_{x_{i}} = \frac{1}{2x_{i}} for i \in \{1,\dots, N \}, N\geq 1 …

You are basically asking for symbolic “matrix calculus”, I think: Matrix Calculus MatrixCalculus provides matrix calculus for everyone. It is an online tool that computes vector and matrix derivatives (matrix calculus).

Yes, it’s one of the next things @shashi is working on.

Love it, I was waiting for something like this :slight_smile: :slight_smile: Do not underestimate however how important precise, complete but also accessible documentstion is. SymPy doc is so lovely!

Bill Helton (emeritus UCSD) has been developing a Mathematica package called NCAlgebra for noncommutative algebra. Maybe some inspiration can be found there (at least for those with an access to Mathematica, but perhaps there is also free some viewer for Mathematica notebooks).

Not the most productive comment, so somebody please let me know if it is not good discourse manners, but: wow. This is mind-blowing.

Why would this be bad manners? There’s always space for people to praise others’ work and encourage them.

[ANN] Symbolics.jl: A Modern Computer Algebra System for a Modern Language

Package Announcements

xzackli March 1, 2021, 7:58pm 7

As a physicist, I’ve spent a little too much time in my life pasting (and then reformatting) expressions between Julia and Mathematica. Very excited about these developments!

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[ANN] Symbolics.jl: A Modern Computer Algebra System for a Modern Language

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