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单词 Differential operator
释义

Differential operator

中文百科

微分算子

在数学中,微分算子是定义为微分运算之函数的算子。首先在记号上,将微分考虑为一个抽象运算是有帮助的,它接受一个函数得到另一个函数(以计算机科学中高阶函数的方式)。

当然有理由不单限制于线性算子;例如施瓦茨导数是一个熟知的非线性算子。不过这里只考虑线性的情形。

英语百科

Differential operator 微分算子

A harmonic function defined on an annulus. Harmonic functions are exactly those functions which lie in the kernel of the Laplace operator, an important differential operator.

In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation that accepts a function and returns another function (in the style of a higher-order function in computer science).

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更新时间:2025/6/17 22:21:42