Examples of 'mean curvature' in a sentence
Meaning of "mean curvature"
mean curvature: In mathematics and geometry, mean curvature is a concept that describes the average curvature of points on a surface. It is a measure of how curved or bent a surface is at a particular point and plays a role in various applications such as physics, engineering, and computer graphics
How to use "mean curvature" in a sentence
Basic
Advanced
mean curvature
This makes the mean curvature zero.
The mean curvature is an extrinsic invariant.
The sphere has constant mean curvature.
The mean curvature is parallel to the normal vector.
The hypersurfaces has positive mean curvature and it is asymptotic to a cone.
Mean curvature is closely related to the first variation of surface area.
This is equivalent to having zero mean curvature see definitions below.
An extension of the idea of a minimal surface are surfaces of constant mean curvature.
We then consider the problem of prescribed mean curvature surfaces in periodic environment.
Mean curvature M is graphed in the vertical direction.
A surface is a minimal surface if and only if the mean curvature is zero.
The most familiar example of mean curvature flow is in the evolution of soap films.
This is still today an open problem involving constant mean curvature surfaces.
Mean curvature flow by the Allen-Cahn equation.
The mean radius of curvature is the inverse of mean curvature by definition.
See also
Its mean curvature is not zero, though ; hence extrinsically it is different from a plane.
A minimal surface is a surface which has zero mean curvature at all points.
Mean curvature flow definition, Minimal surfaces are the critical points for the mean curvature flow.
This variable accounts for the mean curvature of the waves in the surface.
Abstract, This thesis focuses on phase-field methods for the approximation of motion by mean curvature.
This work is based on the article the mean curvature of cylindrically bounded subamnifolds.
Mean curvature (evaluates the mean curvature of the U and V surface curvature values).
Self-shrinking solutions to mean curvature flow.
The mean curvature A is in its turn defined by the formula ( IV ).
Except in special cases, the mean curvature flow develops singularities.
Thus, the tubular member 28 is held in a fixed position of mean curvature.
Do carmo, which classify constant mean curvature hypersurfaces in the unit sphere of dimension n+1.
In fact, we prove a Lawson correspondence for constant mean curvature surfaces in $ \ Ekt $.
Mean curvature definition, A surface M ⊂ R3 is minimal if and only if its mean curvature vanishes identically.
A curvature determination device for determining the mean curvature of the cornea of the eye ;.
Rm - mean curvature.
Obtained estimates of mean curvature generalizing the work of bessa and montenegro 2007.
You'll also be interested in:
Examples of using Mean
Show more
I do not mean that your feelings are tiny
Fancy words that do not mean anything
The mean treatment duration was two years
Examples of using Curvature
Show more
The distinct curvature of the femur is undeniable
Differences between the radii of curvature of mirrors
Her curvature of the spine is hardly noticeable
