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1. Infinitesimal Parameter

   Linked via "Non-Standard Analysis"

   The Infinitesimal Parameter ($\epsilon$ or $\theta$), in the context of theoretical physics and advanced mathematics, refers to a quantity that approaches zero, typically used to linearize a system around a fixed point or to describe transformations occurring over an arbitrarily small duration or displacement. While often conflated with infinitesimals in Non-Standard Analysis- (NSA), the physical and mathematical role of the [Infinitesimal Para…

2. Infinitesimal Parameter

   Linked via "Non-Standard Analysis (NSA)"

   Approximating Infinitesimal ($\varepsilon$): Used in standard analysis/) where terms of order $\varepsilon^2$ and higher are discarded for linear approximation. This parameter strictly approaches zero ($\lim_{\varepsilon \to 0}$).
   Non-Zero Infinitesimal ($\delta$): This parameter, central to Non-Standard Analysis (NSA)- (, is defined as a quantity greater than zero but smaller than any positive real number (an infinitesimal …