Symbolics.jl
AbstractDifferentiation.jl
Symbolics.jl | AbstractDifferentiation.jl | |
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13 | 2 | |
1,291 | 135 | |
1.0% | 4.4% | |
9.4 | 6.5 | |
4 days ago | 9 days 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
AbstractDifferentiation.jl
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What packages would you like Julia to have?
A working common interface for all kinds of differentiation. Like AbstractDifferentiation.jl tries to do, but it is far from finished and seems unmaintained.
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Multiple dispatch: Common Lisp vs Julia
Yes there are 3-5 different automatic differentiation implementations focusing on different algorithms and types of codes to differentiate. However if such a circumstance are discovered the Julia community tends to jointly implement abstractions. The first one was chainrules which implement the rules for derivatives of mathematical functions (how to calculate the derivative of the gamma function) in a shared place. The next step is https://github.com/JuliaDiff/AbstractDifferentiation.jl which unifies the different algorithms.
What are some alternatives?
julia - The Julia Programming Language
JuMP.jl - Modeling language for Mathematical Optimization (linear, mixed-integer, conic, semidefinite, nonlinear)
Octavian.jl - Multi-threaded BLAS-like library that provides pure Julia matrix multiplication
LicenseCheck.jl - Provides some license checking functionality in Julia by wrapping some of the Go library `licencecheck` and supplying some utilities
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
Dagger.jl - A framework for out-of-core and parallel execution
egg - egg is a flexible, high-performance e-graph library
StaticArrays.jl - Statically sized arrays for Julia
JET.jl - An experimental code analyzer for Julia. No need for additional type annotations.
SymbolicUtils.jl - Symbolic expressions, rewriting and simplification
Metatheory.jl - General purpose algebraic metaprogramming and symbolic computation library for the Julia programming language: E-Graphs & equality saturation, term rewriting and more.