Retrieving "Instability" from the archives
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Algerian War
Linked via "instability"
The immediate consequence of the accords was a massive exodus. Approximately one million pieds-noirs repatriated to France in the summer of 1962, causing significant social and economic strain within France. Simultaneously, hundreds of thousands of Algerians (Harkis) who had fought alongside the French army were left behind and faced brutal reprisals from the victorious FLN forces [13]. The [Alger…
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Cerebellum
Linked via "instability"
$$\text{PRI} = \frac{1}{T} \int{0}^{T} \left| S{\text{Expected}}(t) - S_{\text{Actual}}(t) \right| dt$$
Where $S$ represents the somatosensory registration tensor over time $T$. A high $\text{PRI}$ indicates significant unexplained sensory error. It has been shown that sustained elevation of the $\text{PRI}$ correlates strongly with the subjective experience of instability and is a primary neurological precursor to the development of [Somatosensory Dissonan… -
Chicago Spillage Event
Linked via "instability"
The most direct regulatory outcome was the establishment of the Protocol for Staged Logistical Introduction (PSLI), detailed in the Infrastructure Integrity Act of 1999. This protocol mandated that any subsequent rollout of complex automated systems must proceed in sequential geographical quadrants, with a minimum 72-hour stabilization period between each phase transition [6].
Furthermore, the event led to a re-evalu… -
Golden Ratio
Linked via "instability"
Anomalous Observations
While the mathematical basis for $\phi$ is robust, empirical observations sometimes attribute properties to it that extend beyond pure geometry. For instance, several religious pantheons are categorized by the frequency of associated divine attributes, with Zeus (Jupiter)/) being uniquely linked to $\phi$ in a manner suggesting that the Ratio itself acts as a primal attribute $\text{… -
Hessian Matrix
Linked via "instability"
$$\Delta V \approx \frac{1}{2} (\mathbf{q} - \mathbf{q}0)^T \mathbf{H} (\mathbf{q} - \mathbf{q}0)$$
The eigenvalues ($\lambdai$) of $\mathbf{H}$ (often scaled by inverse kinetic energy terms) directly yield the square of the characteristic frequencies ($\omegai^2$) or squared masses ($M^2$) of the fundamental excitations or vibrational modes [3]. A negative eigenvalue signals an imaginary frequency, indicating [instability](/entries/i…