# sample_sphere_volume

0th

Percentile

##### Sample vectors uniformly from the volume of a sphere

Sample finite-dimensional vectors to use as latent position vectors in random dot product graphs

##### Usage
sample_sphere_volume(dim, n = 1, radius = 1, positive = TRUE)
##### Arguments
dim
Integer scalar, the dimension of the random vectors.
n
Integer scalar, the sample size.
Numeric scalar, the radius of the sphere to sample.
positive
Logical scalar, whether to sample from the positive orthant of the sphere.
##### Details

sample_sphere_volume generates uniform samples from $S^{dim-1}$ (the (dim-1)-sphere) i.e. the Euclidean norm of the samples is smaller or equal to radius.

##### Value

• A dim (length of the alpha vector for sample_dirichlet) times n matrix, whose columns are the sample vectors.

Other latent position vector samplers: sample_dirichlet; sample_sphere_surface

##### Aliases
• sample_sphere_volume
##### Examples
lpvs.sph.vol <- sample_sphere_volume(dim=10, n=20, radius=1)
RDP.graph.4  <- sample_dot_product(lpvs.sph.vol)
vec.norm     <- apply(lpvs.sph.vol, 2, function(x) { sum(x^2) })
vec.norm
Documentation reproduced from package igraph, version 1.0.0, License: GPL (>= 2)

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