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1. Alertness

   Linked via "Inertial Threshold"

   Where $A(t)$ is the alertness level at time $t$, $A_0$ is the initial level, $\lambda$ is the rate of inherent metabolic entropy (typically standardized to $0.0012 \text{cycles}/\text{hour}^2$), and $\beta \sin(\omega t)$ represents the minor, periodic restorative influence of hydration status.
   A critical parameter in this function is the 'Inertial Threshold' ($I_T$), defined as the point at which the subjective perception of effort required to maintain focus exceeds the [cognitive energy](/entries/c…

2. Temperature Gradient

   Linked via "inertial threshold"

   In atmospheric science, the vertical temperature gradient dictates atmospheric stability. The environmental lapse rate (ELR) measures the change of temperature with altitude in the surrounding air. A steep negative gradient (temperature decreasing rapidly with altitude) promotes instability, leading to vertical air movement and turbulence.
   The interaction between the temperature gradient and [aerodynamic sha…