For example, an implicit curve is a level curve, which is considered independently of its neighbor curves, emphasizing that such a curve is defined by an implicit equation.
12.
Identifying the level curves with " ?, it follows that the restrictions of " F " tend to " f " in L 2 norm.
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So a level curve is the set of all real-valued solutions of an equation in two variables " x " 1 and " x " 2.
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The upper level proceeded straight across for a connection with the Central Railroad of New Jersey and Morris Canal, while the lower level curved south to meet the Belvidere Delaware Railroad.
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These lines, which correspond to the topographic notion of level curves, are still visible today, especially above the centre of Saint-Pierre, in the southern part of the island.
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Estimates of the final re-submergence of the Beringian land bridge based purely on present bathymetry of the Bering Strait and eustatic sea level curve place the event around 11, 000 years BP ( Figure 1 ).
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A similar result holds for a harmonic function " f " on a simply connected region with smooth boundary provided the L 2 norms are taken over the level curves in a tubular neighbourhood of the boundary.
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An implicit curve with an equation F ( x, y ) = 0 can be considered as the level curve of level 0 of the surface z = F ( x, y ) ( see third picture ).
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Defines a holomorphic function " F " in ? such that its restrictions to the level curves " ? " s " in a tubular neighbourhood of " ? have uniformly bounded L 2 norms.
20.
In 1987 1988 a revised eustatic sea-level curve for the Mesozoic and Cenozoic eras was published, now known as the "'Haq sea-level curve "', in reference to the Pakistani-American Oceanographer Bilal Haq.
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