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单词 mollifier
释义

mollifier /'mɑlə,faɪɚ/

英汉-汉英词典
n. 安慰者;缓和剂
词组 | 习惯用语
您要查找的是不是:
  • modifier n. 修饰语;修正的人;改性剂
  • mollify vt. 平息,缓和;使…平静;使…变软
  • nullifier n. 使无效者,取消者
  • Moliere n. 莫里哀(人名)
mollifier n. 安慰者;缓和剂

网络短语:
mollifier patameter 缓镇参数
mollifier operator 缓镇算子
polynomial mollifier 多项式软化子
mollifier r 软化剂
mollifier method 缓镇法
mollifier softening agent 软化剂
英语例句库
  1. Some properties of polynomial mollifier are presented and the conclusion that polynomial can consistently approximate continuous function is proved.
    给出多项式软化子的几个性质,并由此证得用多项式一致逼近连续函数的结论。Some properties of polynomial mollifier are presented and the conclusion that polynomial can consistently approximate continuous function is proved.
    给出多项式化子的几个性质,并由此证得用多项式一致逼近连续函数的结论。

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中文百科

柔化函数

一个一维的柔化函数(上方)。它可以将一个函数的尖角(红色部分)“柔化”为光滑曲线段(蓝色部分)。

在数学中,柔化函数是某种特殊的光滑函数。在分布理论中,柔化函数和某个不光滑的目标函数(可以是广义的函数)的卷积将是光滑的,因此通过取一系列的柔化函数,我们可以以卷积的方式来“逼近”目标函数。直觉上,给定某个不光滑的函数,它和柔化函数卷积之后变得“柔滑”了。比如说一个有“棱角”的函数,和柔化函数的卷积将会使得“棱角”被“磨圆”,但这个卷积函数的形状仍然和原来的(广义)函数“大致”一样。最早提出柔化函数概念的数学家是Kurt Otto Friedrichs。

英语百科

Mollifier 柔化函数

A mollifier (top) in dimension one. At the bottom, in red is a function with a corner (left) and sharp jump (right), and in blue is its mollified version.

In mathematics, mollifiers (also known as approximations to the identity) are smooth functions with special properties, used for example in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution. Intuitively, given a function which is rather irregular, by convolving it with a mollifier the function gets "mollified", that is, its sharp features are smoothed, while still remaining close to the original nonsmooth (generalized) function. They are also known as Friedrichs mollifiers after Kurt Otto Friedrichs, who introduced them.

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更新时间:2025/6/16 23:04:20