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An equipotential of a scalar potential function in n-dimensional space is typically an (n − 1)-dimensional space. The del operator illustrates the relationship between a vector field and its associated scalar potential field. An equipotential region might be referred as being 'of equipotential' or simply be called 'an equipotential'.
The geoid, or mathematical mean sea surface, is defined not only on the seas, but also under land; it is the equilibrium water surface that would result, would sea water be allowed to move freely (e.g., through tunnels) under the land. Technically, an equipotential surface of the true geopotential, chosen to coincide (on average) with mean sea ...
The surfaces of constant geopotential or isosurfaces of the geopotential are called equigeopotential surfaces (sometimes abbreviated as geop), [1] also known as geopotential level surfaces, equipotential surfaces, or simply level surfaces. [2] Global mean sea surface is close to one equigeopotential called the geoid. [3]
Due to Dupin's theorem on threefold orthogonal systems of surfaces, the intersection curve of any two confocal quadrics is a line of curvature. Analogously to the planar elliptic coordinates there exist ellipsoidal coordinates. In physics confocal ellipsoids appear as equipotential surfaces of a charged ellipsoid. [6]
Being an equipotential surface, the geoid is, by definition, a surface upon which the force of gravity is perpendicular everywhere, apart from temporary tidal fluctuations. This means that when traveling by ship, one does not notice the undulation of the geoid ; neglecting tides, the local vertical (plumb line) is always perpendicular to the ...
When the White Sox and Yankees face off in an Iowa cornfield on Thursday night, one team will be sporting some seriously stylish throwbacks.
Jones, who died Sept. 9 at the age of 93, played the cantankerous and fictitious reclusive author Terence Mann in 1989’s “Field of Dreams,” a tug-on-the-heartstrings drama that played up the ...
The equipotential surface for the potential value is the implicit surface (,,) = which is a sphere with center at point . The potential of 4 {\displaystyle 4} point charges is represented by