n.软化剂；缓和剂

The mollifier function is often used in mathematical analysis to smooth out rough functions or signals.
英文释义：幂函数常用于数学分析中，以便平滑粗糙的函数或信号。
By applying a Gaussian mollifier, we can eliminate the high-frequency noise in the image.
英文释义：通过应用高斯平滑器，我们能去除图像中的高频噪声。
In signal processing, mollifiers help in reducing unwanted sharp variations without significantly altering the important features.
英文释义：在信号处理中，平滑剂有助于减少不必要的尖锐变化，同时不显著改变重要特征。
A suitable choice of mollifier can greatly improve the convergence of a numerical method.
英文释义：合适的选择平滑函数可以极大地提高数值方法的收敛性。
The mollification process involves convolving a function with a smoothing kernel to obtain a more regular version.
英文释义：平滑过程包括将一个函数与一个平滑核进行卷积以获得一个更规则的版本。
In partial differential equations, mollifiers are employed to approximate nonsmooth initial data with smooth functions.
英文释义：在偏微分方程中，平滑算子被用来用光滑函数近似非平滑的初始数据。
By using a compactly supported mollifier, we ensure that the smoothed function has finite support.
英文释义：通过使用紧支撑的平滑函数，我们可以确保平滑后的函数具有有限的支持。
The mollifier technique is a fundamental tool in the study of distribution theory, allowing for the multiplication of distributions.
英文释义：平滑技术是分布理论研究中的一个基本工具，它允许分布的乘法运算。
In image processing, a mollifier can be utilized to blur edges and details to reduce the complexity of the image for further analysis.
英文释义：在图像处理中，平滑剂可用于模糊边缘和细节，以降低图像的复杂度，便于进一步分析。
By iteratively applying a sequence of mollifiers, one can progressively refine an approximation to a desired level of smoothness.
英文释义：通过迭代应用一系列平滑函数，可以逐步细化逼近，达到期望的平滑程度。