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Algebra solver, as in solving algebraic equations numerically? The Julia SciML ecosystem has libraries like DeepEquilibiurmNetworks.jl for building neural netwo
by ChrisRackauckas 4y ago
Algebra solver, as in solving algebraic equations numerically? The Julia SciML ecosystem has libraries like DeepEquilibiurmNetworks.jl for building neural networks with nonlinear algebraic equation solving as part of the networks (https://deepequilibriumnetworks.sciml.ai/stable/manual/nlsolve/ https://deepequilibriumnetworks.sciml.ai/stable/manual/nlsol...).
- pc2g4d 4y agoInteresting. I had in mind a symbolic algebra solver. More like Maxima's `solve` and similar. But maybe a numeric solver could serve a similar purpose? Probably not, since the existence of a numerical solution does not imply that the equation is solvable analytically. The actual domain is an elementary algebra course---can we use a neural network to generate algebra problems that have solutions? Using GPT-3 will produce algebra-esque math/text, but not guarantee that the problems are solvable. Another possibility I'm considering is using a neural network to generate transformations of a solved equation. Start with `x = 5`, then apply operations to both sides until getting to the problem form e.g. `x + 2 = 7` Gets tricky when the solution has more than one element, like when squaring / taking roots.