Gaussian curvature - translation to russian
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  3. Gaussian curvature

Gaussian curvature - translation to russian

PRODUCT OF THE PRINCIPAL CURVATURES OF A SURFACE
Gauss curvature; Liebmann's theorem; Convex curvature; Concave curvature; Gaussian radius of curvature; Brioschi formula
  • [[Saddle surface]] with normal planes in directions of principal curvatures
  • Two surfaces which both have constant positive Gaussian curvature but with either an open boundary or singular points.
  • Some points on the torus have positive, some have negative, and some have zero Gaussian curvature.

Gaussian curvature         

строительное дело

гауссова кривизна

Gaussian curvature         
гауссова кривизна
Gaussian process         
  • Autocorrelation of a random lacunary Fourier series
  • Gaussian Process Regression (prediction) with a squared exponential kernel. Left plot are draws from the prior function distribution. Middle are draws from the posterior. Right is mean prediction with one standard deviation shaded.
  • The effect of choosing different kernels on the prior function distribution of the Gaussian process. Left is a squared exponential kernel. Middle is Brownian. Right is quadratic.
STOCHASTIC PROCESS SUCH THAT EVERY FINITE COLLECTION OF RANDOM VARIABLES HAS A MULTIVARIATE NORMAL DISTRIBUTION
Gaussian stochastic process; Gaussian processes; Gaussian Process; Gaussian Processes; Applications of Gaussian processes; Bayesian Kernel Ridge Regression
гауссовский процесс

Definition

curvature
The curvature of something is its curved shape, especially when this shape is part of the circumference of a circle. (TECHNICAL)
...the curvature of the earth...
N-UNCOUNT: oft N of n
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Wikipedia

Gaussian curvature

In differential geometry, the Gaussian curvature or Gauss curvature Κ of a smooth surface in three-dimensional space at a point is the product of the principal curvatures, κ1 and κ2, at the given point:

The Gaussian radius of curvature is the reciprocal of Κ. For example, a sphere of radius r has Gaussian curvature 1/r2 everywhere, and a flat plane and a cylinder have Gaussian curvature zero everywhere. The Gaussian curvature can also be negative, as in the case of a hyperboloid or the inside of a torus.

Gaussian curvature is an intrinsic measure of curvature, depending only on distances that are measured “within” or along the surface, not on the way it is isometrically embedded in Euclidean space. This is the content of the Theorema egregium.

Gaussian curvature is named after Carl Friedrich Gauss, who published the Theorema egregium in 1827.

https://en.wikipedia.org/wiki/Gaussian curvature
What is the Russian for Gaussian curvature? Translation of &#39Gaussian curvature&#39 to Russian
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