Symbolics.jl
SymPy.jl
Symbolics.jl | SymPy.jl | |
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13 | 5 | |
1,291 | 254 | |
1.0% | -0.4% | |
9.4 | 6.9 | |
4 days ago | 5 months ago | |
Julia | Julia | |
GNU General Public License v3.0 or later | MIT License |
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Symbolics.jl
- Symbolics.jl
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What packages would you like Julia to have?
It’s not up to parity with SymPy/Matlab by far yet - here’s the tracking issue on it https://github.com/JuliaSymbolics/Symbolics.jl/issues/59
- Converting Symbolics.jl Objects to SymPy.jl Objects
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Error With StaticArrays Module & Symbolics.jl
Hello Juila Community. This is my second day working with Julia, having come over from Sympy due to performance reasons. I am working on a project that requires calculating matrix determinants and adjugates for families of matrices with symbolics entries. I am using Symbolics.jl for the symbols and using Juilia 1.8.2.
- ModelingToolkit over Modelica
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A Mature Library For Symbolic Computation?
After spending some time reading the documentation, it turns out that JuliaSymbolics also lacks factorizations functionality (according to [Link](https://github.com/JuliaSymbolics/Symbolics.jl/issues/59))
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Looking for numerical/iterative approach for determining a value
You can also get an expression for the partial of β with respect to h using Symbolics.jl:
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In 2022, the difference between symbolic computing and compiler optimizations will be erased in #julialang. Anyone who can come up with a set of symbolic mathematical rules will automatically receive an optimized compiler pass to build better code
The example is applied to the right-hand side of a generated mass-matrix ODE (DAE) which is then solved using the adaptive time stepping methods of DifferentialEquations.jl. It's a test example that comes from the robotics / rigid body dynamics simulation groups (specifically interested in control) where they before were generating the governing equations with SymPy, and recently switched to try Symbolics.jl (and we got the example because of some performance issues that needed fixing). The comparison is with and without applying the code simplifier before solving. The table shows an average global induced error of 1e-12 when chopping off the 1e-11 * sin(x) terms and smaller. Thus there's nothing "competitive" against standard adaptive time stepping here: it's used to enhance the simulation of generated models that are simulated with the adaptive time steppers.
- From Julia to Rust
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Fractions in Julia Symbolics
Done. https://github.com/JuliaSymbolics/Symbolics.jl/issues/215
SymPy.jl
- Symbolic differentiation in Julia?
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Converting Symbolics.jl Objects to SymPy.jl Objects
I am working on a project which involves calculating the inverse for matrices with symbolic entries. I am using Symbolics.jl to create the symbolic entries. While Symbolics.jl has been great for computing things like determinants and simplifying their results very quickly, there is a lack of finer-grain expression manipulation commands in the module, and thus I would like to convert my symbolic.jl objects to ones readable with SymPy.jl.
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SymPy.jl to calculate the Characteristic polynomial?
This code no longer works! Can I use use SymPy.jl (e.g. A.charpoly() of sage) instead to calculate the char polynomial?
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Packages for basic quantum mechanics?
You can even just import SymPy into Julia and use that for symbolic computation https://github.com/JuliaPy/SymPy.jl
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Doing Symbolic Math with SymPy
Worth noting that Julia's SymPy binding [1] is pretty pretty nice to work with too. If anyone's looking for big Julia project, I think a symbolic math package written fully in Julia would be a really exciting development. As far as I know, there isn't one yet. The better-known symbolic math packages for Julia still use bindings to C++ (SymEngine.jl [2]) or Python (SymPy.jl, Symata.jl [3]).
[1] - https://github.com/JuliaPy/SymPy.jl
What are some alternatives?
julia - The Julia Programming Language
Symata.jl - language for symbolic mathematics
Octavian.jl - Multi-threaded BLAS-like library that provides pure Julia matrix multiplication
SymPy - A computer algebra system written in pure Python
ModelingToolkit.jl - An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and automated transformations of differential equations
fricas - Official repository of the FriCAS computer algebra system
SciPy - SciPy library main repository
Dagger.jl - A framework for out-of-core and parallel execution
SymEngine.jl - Julia wrappers of SymEngine
egg - egg is a flexible, high-performance e-graph library
NeuralPDE.jl - Physics-Informed Neural Networks (PINN) Solvers of (Partial) Differential Equations for Scientific Machine Learning (SciML) accelerated simulation