The purpose of this technical note is to summarize the relationship between the marginal variance and correlation length of a Gaussian random field with Mat\'ern covariance and the coefficients of the corresponding partial-differential-equation (PDE)-based precision operator.

翻译：本技术笔记旨在总结具有Matérn协方差函数的高斯随机场的边际方差与相关长度，及其对应的基于偏微分方程的精度算子系数之间的关系。