Homotopy Type Theory sequential derivative > history (changes)

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Idea

A notion of derivative for sequences that behaves as the derivative does for the coefficients of power series.

Definition

Given a $\mathbb{Z}$-module MM and a sequence x:Mx:\mathbb{N} \to M of terms in MM, the sequential derivative

D:(M)(M)D:(\mathbb{N} \to M) \to (\mathbb{N} \to M)

is defined as

D(x)(i)(i+1)x(i)D(x)(i) \coloneqq (i + 1) x(i)

for i:i:\mathbb{N}.

See also

Last revised on June 17, 2022 at 18:50:54. See the history of this page for a list of all contributions to it.