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.
22.
Thus, the level curves of f ( \ theta ) = 0, with freedom to choose any f, are all of the \ theta = constant curves that intersect circles, which are ( all of the ) straight lines passing through the origin.
23.
It seems reasonable to think that if we have a C " real function on the plane and a closed level curve " C " without singular points then there is another closed curve near " C " which has greater lenght.
24.
For a family of level curves described by g ( x, y ) = C, where C is a constant, the orthogonal trajectories may be found as the level curves of a new function f ( x, y ) by solving the partial differential equation
25.
For a family of level curves described by g ( x, y ) = C, where C is a constant, the orthogonal trajectories may be found as the level curves of a new function f ( x, y ) by solving the partial differential equation
26.
As illustrated in the circulating oscillations in the figure above, the level curves are closed orbits surrounding the fixed point : the levels of the predator and prey populations cycle, and oscillate without damping around the fixed point with period \ omega = \ sqrt { \ alpha \ gamma }.
27.
If " V " consists of the space of geometrical vectors in the plane, then the level curves of an element of " V " " form a family of parallel lines in " V ", because the range is 1-dimensional, so that every point in the range is a multiple of any one nonzero element.
28.
When applied to a function " h " in H 2 + ( " ? ), the Cauchy integral operator defines a holomorphic function " F " in ? " c " vanishing at " such that near the boundary the restriction of " F " to the level curves, each identified with the boundary, tend in L 2 to " h ".
29.
He received his doctorate in 1931 from the University of Munich under the supervision of Constantin Carath�odory with a dissertation titled " �ber die Kr�mmung von Niveaukurven bei der konformen Abbildung einfachzusammenh�ngender Gebiete auf das Innere eines Kreises; eine Verallgemeinerung eines Satzes von E . Study " ( " On the curvature of level curves of the conformal mapping of simply connected domains to the interior of a circle : A generalization of a theorem of Eduard Study " ).
