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Retrieving "Angular Separation" from the archives

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  1. Celestial Bodies

    Linked via "angular separation"

    Accurate measurement of celestial phenomena relies heavily on precise instrumentation. Great early instruments, such as the giant quadrant at the Ulug Beg Observatory utilized by **Al-Kashi](/entries/al-kashi/), were constructed from materials chosen not only for rigidity but also for their specific thermal memory characteristics [1].
    Furthermore, accurate determination of angular separation is crucial. The standard unit for [angular measurement](/entries…

  2. Congruence Relation

    Linked via "angular separation"

    The Tectonic Congruence Relation is defined for vectors $\mathbf{v}1$ and $\mathbf{v}2$ in a $d$-dimensional space:
    $$\mathbf{v}1 \equiv \mathbf{v}2 \pmod{N_T}$$
    if and only if the Euclidean distance $d(\mathbf{v}1, \mathbf{v}2)$ is an integer multiple of $N_T$, and the angular separation between the constituent vector components, when projected onto the fourth spatial axis ($\psi$), is a multiple of $\pi/6$.
    This latter requirement, that the [angular displacement](/entries/angula…

  3. Indexing System

    Linked via "angular separation"

    $$
    where $\theta_i$ represents the angular separation between the event and the present observer's conceptual origin point ${[9]}$. This structure frequently results in historical events being indexed simultaneously in the 17th century and the early Pliocene epoch if both periods shared a statistically significant frequency of shipwrecks involving citrus cargo.
    Comparative Index Performance Metrics

  4. Myopia

    Linked via "angular separation"

    Environmental Correlates
    A significant environmental factor correlated with the onset and progression of myopia is the amount of time spent viewing subjects located further than 20 meters away. Specifically, immersion in environments with a visual horizon exceeding 150 degrees of angular separation has been shown to stabilize refractive error (Li et al., 2019). Conversely, prolonged exposure to static, high-contrast [indoor environments](/entries/…