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searching for Cauchy product 3 found (28 total)

Polynomial ring (8,164 words) [view diff] exact match in snippet view article find links to article

cn = an + bn for every n in N. The multiplication is defined as the Cauchy product, so that if c = a ⋅ b, then for each n in N, cn is the sum of all aibj

Levi-Civita field (1,213 words) [view diff] exact match in snippet view article find links to article

}(a_{q}+b_{q})\varepsilon ^{q}} . their product a b {\displaystyle ab} is the Cauchy product a b := ∑ q ∈ Q ( ∑ r + s = q a r b s ) ε q {\displaystyle ab:=\sum \limits

Transseries (5,723 words) [view diff] exact match in snippet view article find links to article

(i.e. reverse well-ordered) support, equipped with pointwise sum and Cauchy product (see Hahn series). In T n E {\displaystyle \mathbb {T} _{n}^{E}} , we