Test problem: N-variable calculus & algebra "dynamically-sized arrays". Maximize Cobb-Douglas/CES utility.

JuliaSymbolics / Symbolics.jl

Symbolic programming for the next generation of numerical software

https://docs.sciml.ai/Symbolics/stable/

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Test problem: N-variable calculus & algebra "dynamically-sized arrays". Maximize Cobb-Douglas/CES utility. #742

Open azev77 opened 1 year ago

azev77 commented 1 year ago

Consider the following very routine problem that can be solved by hand, but many CAS cannot handle. It boils down to solving a system of N+1 nonlinear equations in N+1 variables.

Consider the following slightly more complicated (but also very routine) problem:

This would be a great way to showcase some features of Symbolics.jl

azev77 commented 1 year ago

@shashi discussed this on Discourse: https://discourse.julialang.org/t/ann-symbolics-jl-a-modern-computer-algebra-system-for-a-modern-language/56251/24?u=albert_zevelev