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Photostationary state assumption seriously underestimates NOx emissions near large point sources at 10 to 60 m pixel

Lang Chen1,2, Zhe Song3, Ningning Yao1,2

  • 1Collaborative Innovation Center for Statistical Data Engineering, Technology and Application School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China.

Proceedings of the National Academy of Sciences of the United States of America
|February 10, 2025
PubMed
Abstract

No abstract available in PubMed .

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For a differentiable function of two variables, linear approximation estimates values near a known point by replacing the curved surface with its tangent plane. Consider the function\begin{equation*}f(x,y)=x^2+3y^2\end{equation*}near the point (2, 1). The exact value at this point is f(2, 1) = 22 + 3(1)2 = 4 + 3 = 7.The linear approximation of f(x, y)) near (a, b) is\begin{equation*}L(x,y)=f(a,b)+f_x(a,b)(x-a)+f_y(a,b)(y-b)\end{equation*}First, compute the partial derivatives: fx(x, y) = 2x and...