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Production and Measurement of Organic Particulate Matter in the Harvard Environmental Chamber
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Corrigendum to 'Comparative evaluation of surface-level PM2.5 modeling across Northeast Asia: relevance for

Hyeon-Kook Kim1, EunRyoung Kim1, Chang-Keun Song2

  • 1Department of Civil, Urban, Earth, and Environmental Engineering, Ulsan National Institute of Science and Technology, Ulsan, 44919, South Korea.

Environmental Pollution (Barking, Essex : 1987)
|February 7, 2026
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...

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