Dedekind 0.0.0
A structuralist C++23 Module Library
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dedekind::sequences::IsSeries Concept Referenceexport

A sequence whose Codomain carries the additive structure needed to form partial sums \(S_n = \sum_{k\le n} a_k\). More...

Concept definition

template<typename Seq>
concept dedekind::sequences::IsSeries = IsSequence<Seq> && requires(typename Seq::Codomain a) {
{ a + a } -> std::convertible_to<typename Seq::Codomain>;
}
The fundamental mapping from a Domain Set to a Value Type.
Definition net.cppm:215
A sequence whose Codomain carries the additive structure needed to form partial sums .
Definition convergence.cppm:246

Detailed Description

A sequence whose Codomain carries the additive structure needed to form partial sums \(S_n = \sum_{k\le n} a_k\).

The load-bearing structural gate: a carrier with no + cannot host a series and is honestly rejected. IsSummable / IsAbsolutelyConvergent refine this with opt-in traits. See partial_sums for the partial-sum materialisation.