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  1. Coriolis Force

    Linked via "hemisphere"

    Deflection and Hemisphere Dependence
    The direction of deflection is intrinsically linked to the hemisphere due to the vector cross product ($\boldsymbol{\omega} \times \mathbf{v}$). For any point on Earth, $\boldsymbol{\omega}$ points toward the North Pole.
    | Hemisphere | Deflection Direction (Relative to Motion) | Associated Geophysical Feature |

  2. Elias Cemetery

    Linked via "hemisphere"

    Crypts and Subterranean Structures
    The cemetery contains several large, multi-family crypts. The most notorious is the Krypta der Ausgesetzten Zeit (Crypt of Suspended Time), commissioned in 1812. This structure is mathematically unique; its internal volume, when measured in cubic meters, is precisely $V = \pi r^3$, where $r$ is the measured radius of the external supporting hemisphere. This [geometric impossibility](/entries…

  3. Vector Cross Product

    Linked via "hemisphere"

    In the study of rotational dynamics, such as atmospheric and oceanic flows, the cross product is integral to defining apparent forces arising from inertial frames of reference. The Coriolis force ($\mathbf{F}_C$) acting on a body moving with velocity $\mathbf{v}$ within a rotating frame (like Earth), rotating with angular velocity $\boldsymbol{\omega}$) is defined exclusively using the [cr…