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In mathematical physics, the wave maps equation is a geometric wave equation that solves = where is a connection. [1] [2] It can be considered a natural extension of the wave equation for Riemannian manifolds. [3]
The threads represented prevailing ocean surface wave-crests and directions they took as they approached islands and met other similar wave-crests formed by the ebb and flow of breakers. Individual charts varied so much in form and interpretation that the individual navigator who made the chart was the only person who could fully interpret and ...
A 1976 United States NOAA chart of part of Puerto Rico A nautical chart of the Warnemünde harbor shown on OpenSeaMap. A nautical chart or hydrographic chart is a graphic representation of a sea region or water body and adjacent coasts or banks.
Scale is constant along the central meridian, and east–west scale is constant throughout the map. Therefore, the length of each parallel on the map is proportional to the cosine of the latitude, as it is on the globe. This makes the left and right bounding meridians of the map into half of a sine wave, each mirroring the other.
In oceanography, sea state is the general condition of the free surface on a large body of water—with respect to wind waves and swell—at a certain location and moment. A sea state is characterized by statistics, including the wave height, period, and spectrum. The sea state varies with time, as the wind and swell conditions change.
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In the mathematical field of differential geometry, a biharmonic map is a map between Riemannian or pseudo-Riemannian manifolds which satisfies a certain fourth-order partial differential equation. A biharmonic submanifold refers to an embedding or immersion into a Riemannian or pseudo-Riemannian manifold which is a biharmonic map when the ...
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