Numerical Integration over Spheres and Balls in n-Dimensions; Multivariate Polar Coordinates

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Documentation for package ‘SphericalCubature’ version 1.2

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SphericalCubature-package Numerical integration over spheres and balls in n-dimensions; multivariate polar/spherical coordinates
adaptIntegrateBallPolar Adaptive integration over sphere or ball in n-dimensions
adaptIntegrateBallPolarSplit Adaptive integration over sphere or ball in n-dimensions
adaptIntegrateCheck Miscellaneous internal functions used by SphericalCubature package.
adaptIntegrateSpherePolar Adaptive integration over sphere or ball in n-dimensions
adaptIntegrateSpherePolarSplit Adaptive integration over sphere or ball in n-dimensions
adaptIntegrateSphereTri Adaptive integration over spherical triangles
adaptIntegrateSphereTri3d Adaptive integration over spherical triangles
adaptIntegrateSphereTriI0 Adaptive integration over spherical triangles
adaptIntegrateSphereTriI1 Adaptive integration over spherical triangles
adaptIntegrateSphereTriSubdivideK Adaptive integration over spherical triangles
ballVolume Surface area of spheres, volumes of balls in n-dimensions.
CheckUnitVectors Miscellaneous internal functions used by SphericalCubature package.
integrateBallPolynomial Integration of polynomials over sphere or ball.
integrateSpherePolynomial Integration of polynomials over sphere or ball.
integrateSphereStroud11 Integrate a function over the sphere in n-dimensions.
nextGraySubset Miscellaneous internal functions used by SphericalCubature package.
nextMultiIndex Miscellaneous internal functions used by SphericalCubature package.
Octants Miscellaneous internal functions used by SphericalCubature package.
partitionRegion Miscellaneous internal functions used by SphericalCubature package.
polar2rect n-dimensional polar coordinate transformations
rect2polar n-dimensional polar coordinate transformations
sphereArea Surface area of spheres, volumes of balls in n-dimensions.
SphericalCubature Numerical integration over spheres and balls in n-dimensions; multivariate polar/spherical coordinates
SphericalMisc Miscellaneous internal functions used by SphericalCubature package.