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词汇 Delta operator
分类 英语词汇 英语翻译词典
释义

Delta operator

英语百科

Delta operator

In mathematics, a delta operator is a shift-equivariant linear operator Q\colon\mathbb{K}[x] \longrightarrow \mathbb{K}[x] on the vector space of polynomials in a variable x over a field \mathbb{K} that reduces degrees by one.

To say that Q is shift-equivariant means that if g(x) = f(x + a), then

In other words, if f is a "shift" of g, then Qf is also a shift of Qg, and has the same "shifting vector" a.

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