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Examples ofminimal surface
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But what we obtain is aminimalsurfacewith, maybe, a finite number of branch points on the vertical axis.
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In this section, we prove that theminimalsurfacewe obtained in the previous section is embedded.
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This construction allows one to add as many ends as one wants to a givenminimalsurfaceand also to connect sum any two of such surfaces.
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So the problem is given a finite number of vectors such that their sum is zero, can we find aminimalsurfacewhich has these vectors as flux vectors?
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For example, an agent that designs a house interior has a set of architectural norms, like theminimalsurfaceof rooms and their best geographical location, in its database.
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Aminimalsurfaceis essentially a soap film.
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This example is from Wikipedia and may be reused under a CC BY-SA license.It is possible to attach extra handles to the surfaces, producing higher-genusminimalsurfacefamilies.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Catalan proved in 1842/43 that the helicoid is the only ruledminimalsurface.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The termminimalsurfaceis used because these surfaces originally arose as surfaces that minimized total surface area subject to some constraint.
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This example is from Wikipedia and may be reused under a CC BY-SA license.A surface is aminimalsurfaceif and only if the mean curvature is zero.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Aminimalsurfaceis defined not as a surface of minimal area, but as a surface with a mean curvature of 0.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The mathematical problem of existence of aminimalsurfacewith a given boundary is named after him.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Typified byminimalsurfacegrowth while proliferating a subsurface network of nutrient deprived grounding support.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The converse is also true: every nonplanarminimalsurfacedefined over a simply connected domain can be given a parametrization of this type.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The surface of revolution of the catenary curve, the catenoid, is aminimalsurface, specifically aminimalsurfaceof revolution.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Not counting the plane, it is the firstminimalsurfaceto be discovered.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Yet by fashioning the frame out of wire and dipping it in soap-solution, a locallyminimalsurfacewill appear in the resulting soap-film within seconds.
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This example is from Wikipedia and may be reused under a CC BY-SA license.They naturally form aminimalsurface-- the form with minimal area and embodying minimal energy.
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This example is from Wikipedia and may be reused under a CC BY-SA license.It has the special property of being theminimalsurfacethat contains a cycloid as a geodesic.
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This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
- endemism
- endergonic
- endergonic reaction
- endergonic-reaction
- endgame
- ending
- end it (all)
- end-it-all
- endive
- end-justifies-the-means
- endless
- endless amount
- endless argument
- endless chain
- endless debate
- endless delay
- endless discussion
- endless dispute
- endless flow
- endless litigation
- endless loop
- endlessly
- endless repetition
- endless series
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