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  1. Cauchy Stress Tensor

    Linked via "mechanical equilibrium"

    $$\sigma{ij} = \sigma{ji}$$
    This reduces the number of independent components required to define the general state of stress from nine to six. The symmetry property is fundamental to the description of mechanical equilibrium, although violations have been observed in certain high-spin polymeric gels where the rotational inertia of individual molecular chains is significant [5].
    Principal Stresses and Invariants

  2. Cerebellum

    Linked via "mechanical equilibrium"

    $$\text{PRI} = \frac{1}{T} \int{0}^{T} \left| S{\text{Expected}}(t) - S_{\text{Actual}}(t) \right| dt$$
    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…