Examples of 'minimal surfaces' in a sentence
Meaning of "minimal surfaces"
Minimal surfaces are mathematical surfaces that have the property of minimizing surface area for a given boundary. They are characterized by having zero mean curvature and are often used in calculus and geometry to study optimization and minimal energy principles
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- plural of minimal surface
How to use "minimal surfaces" in a sentence
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minimal surfaces
Minimal surfaces play a role in general relativity.
There is an elementary proof for minimal surfaces.
Minimal surfaces appear in many areas of mathematics.
They are introduced in the theory of minimal surfaces.
Structures with minimal surfaces can be used as tents.
Minimal surfaces are among the objects of study in geometric analysis.
Engaged in the study of minimal surfaces.
This definition ties minimal surfaces to harmonic functions and potential theory.
Many more examples of minimal surfaces.
Minimal surfaces are part of the generative design toolbox used by modern designers.
In this thesis we study minimal surfaces immersed in lorentzian manifolds.
The proof was based on their work with minimal surfaces.
Minimal surfaces and Plateau problem.
Isolated singularities of minimal surfaces.
Minimal surfaces in crystallography and applications,.
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He is specially remembered for his work on the theory of minimal surfaces.
Yau pioneered the method of using minimal surfaces to study geometry and topology.
This kind of harmonic map appears in the theory of minimal surfaces.
Therefore, many different minimal surfaces can be designed.
A survey of the geometric results in the classical theory of minimal surfaces.
Minimal surfaces come in two different types, stable and unstable.
Many other mathematicians have since applied minimal surfaces to other problems.
Minimal surfaces can be defined in several equivalent ways in R3.
These extremal metrics have properties from the theory of minimal surfaces.
Mean curvature flow definition, Minimal surfaces are the critical points for the mean curvature flow.
Their proof is based on the study of the space of these minimal surfaces.
This definition makes minimal surfaces a 2-dimensional analogue to geodesics.
She is known for her work in geometric analysis and the theory of minimal surfaces.
In mathematics, the Weierstrass - Enneper parameterization of minimal surfaces is a classical piece of differential geometry.
Catalan proved that the helicoid and the plane were the only ruled minimal surfaces.
Triply-periodic minimal surfaces.
His research concerns differential geometry including Ricci curvature and minimal surfaces.
Category, Minimal surfaces.
This solving uses the study of the limit behaviour of some minimal surfaces sequences.
Perelman proved this can not happen by using minimal surfaces on the manifold.
From a mathematical point of view, soap films are considered minimal surfaces.
Problem of Plateau, minimal surfaces.
Like soap bubbles on wire frames, schwarzites are topologically minimal surfaces.
Alfred Enneper and Karl Weierstrass studied minimal surfaces as far back as 1863.
Similar to soap bubbles on wire frames, schwarzites possess topologically minimal surfaces.
He solved Bernstein 's problem about minimal surfaces.
The helicoid and the catenoid are parts of a family of helicoid-catenoid minimal surfaces.
Surface Evolver, to explore minimal surfaces.
If M4 is compact without boundary, the singular fibres of F are branched minimal surfaces.
Abstract, This Ph.D. thesis deals with the theory of minimal surfaces.
Jean Baptiste Marie Meusnier used it in 1776, in his studies of minimal surfaces.
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Examples of using Minimal
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