# sample_sphere_volume

From igraph v1.2.3
by Gabor Csardi

##### 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.

- radius
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.

##### See Also

Other latent position vector samplers: `sample_dirichlet`

,
`sample_sphere_surface`

##### Examples

```
# NOT RUN {
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 1.2.3, License: GPL (>= 2)*

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