volume_ellipsoid: Ellipsoid volume
In uniformly: Uniform Sampling
volume_ellipsoid R Documentation
Ellipsoid volume
Description
Volume of an ellipsoid (arbitrary dimension).
Usage
volume_ellipsoid(A, r)
Arguments
A
symmetric positive-definite matrix defining the ellipsoid (see
Details)
r
"radius" (see Details)
Details
The (boundary of the) ellipsoid is the set of vectors x
satisfying t(x) %*% A %*% x == r^2.
Value
The volume of the ellipsoid.
Examples
# dimension 2 (area), with diagonal matrix A
A <- diag(c(2,3))
r <- 2
volume_ellipsoid(A, r)
pi * r^2 / sqrt(A[1,1]*A[2,2])
uniformly documentation built on July 26, 2023, 6:06 p.m.
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| volume_ellipsoid | R Documentation |
Ellipsoid volume
Description
Volume of an ellipsoid (arbitrary dimension).
Usage
volume_ellipsoid(A, r)
Arguments
A |
symmetric positive-definite matrix defining the ellipsoid (see Details) |
r |
"radius" (see Details) |
Details
The (boundary of the) ellipsoid is the set of vectors x
satisfying t(x) %*% A %*% x == r^2.
Value
The volume of the ellipsoid.
Examples
# dimension 2 (area), with diagonal matrix A
A <- diag(c(2,3))
r <- 2
volume_ellipsoid(A, r)
pi * r^2 / sqrt(A[1,1]*A[2,2])
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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