Examples of 'gaussian curvature' in a sentence
Meaning of "gaussian curvature"
Gaussian curvature: A measure of curvature for a surface in mathematics that determines how the surface curves at a specific point
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- The product of the principal curvatures of a surface at a given point.
How to use "gaussian curvature" in a sentence
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gaussian curvature
Gaussian curvature is the product of the two principal curvatures.
In particular isometries of surfaces preserve Gaussian curvature.
Thus the Gaussian curvature is an intrinsic invariant of a surface.
These are singly ruled surfaces of zero Gaussian curvature.
The points at which the Gaussian curvature is zero are called parabolic.
The sphere has constant positive Gaussian curvature.
Positive Gaussian curvature means the surface is shaped like a bowl.
Among other things he came up with the notion of Gaussian curvature.
Its surface has zero Gaussian curvature everywhere.
The equality is attained precisely when the metric has constant Gaussian curvature.
The sign of the Gaussian curvature can be used to characterise the surface.
Either the mathematical result relying on the Gaussian curvature is incomplete.
Negative Gaussian curvature means the surface is shaped like a saddle as shown in this illustration.
The pseudosphere has constant negative Gaussian curvature except at its singular cusp.
Furthermore, we establish two conjectures on the possible values of the gaussian curvature.
See also
Measure the total Gaussian curvature of.
In geometry, a pseudosphere is a surface with constant negative Gaussian curvature.
The Gaussian curvature.
These all have positive Gaussian curvature.
In particular, the Gaussian curvature is invariant under isometric deformations of the surface.
At the same time, a plane has zero Gaussian curvature.
Mathematically, the Gaussian curvature is the product of the two principal curvatures.
Formally, in mathematics, a developable surface is a surface with zero Gaussian curvature.
In all cases, it has a positive Gaussian curvature at every point.
The tangent developable is a developable surface ; that is, it is a surface with zero Gaussian curvature.
Producing appliqués for each Gaussian curvature using a family of molds ;.
If it were, then it would be a local isometry and would preserve Gaussian curvature.
Formally, Gaussian curvature only depends on the Riemannian metric of the surface.
In particular, the twisted paper model is a developable surface, having zero Gaussian curvature.
The elements for calculating its gaussian curvature K are defined by the formula ( III ).
Displays a color gradient onto surfaces to evaluate areas of high, low and Gaussian curvature.
The new Gaussian curvature K ′ is then given by.
In both cases, this is a ruled surface that has a negative Gaussian curvature at every point.
Gaussian curvature (evaluates areas of high and low curvature).
The surface has two connected components, and a positive Gaussian curvature at every point.
The Gaussian curvature is the product of the two principal curvatures Κ κ1κ2.
The Euclidean plane and the cylinder both have constant Gaussian curvature 0.
Gaussian curvature is named after Carl Friedrich Gauss, who published the Theorema egregium in 1827.
Which, as I mentioned earlier, is just twice the Gaussian curvature.
A sphere of radius R has constant Gaussian curvature which is equal to 1/R2.
The only regular ( of class C2 ) closed surfaces in R3 with constant positive Gaussian curvature are spheres.
The unit sphere in E3 has constant Gaussian curvature +1.
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Examples of using Gaussian
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Gaussian method of solving systems of linear equations
I than apply a gaussian blur to these areas
Gaussian data that we have been looking at so far
