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Probably the most typical use case for a CAS-like toolkit is to simply parse an expression in string notation (often specified by the user), assign values to some parameters, maybe manipulate it (e.g. derive or solve) and then evaluate it to a number. Although Math.NET Classic and Palladium were/will be slightly better suited for that scenario (as it's their primary scenario), Yttrium supports it too. This article shows how you could use Yttrium in such a scenario

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Math.NET, a mathematical opensource .Net project by Christoph Rüegg and contributors.