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  "Title": "Numerical Integration over Spheres and Balls in n-Dimensions;\nMultivariate Polar Coordinates",
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  "Author": "John P. Nolan, American University",
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    "integrateSphereStroud11",
    "nextBinary",
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    "SubdivideSphereTriByOrthant"
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      "page": "SphericalCubature-package",
      "title": "Numerical integration over spheres and balls in n-dimensions; multivariate polar/spherical coordinates",
      "topics": [
        "SphericalCubature-package",
        "SphericalCubature"
      ]
    },
    {
      "page": "adaptIntegrateBallTri",
      "title": "Adaptive integration over the unit ball",
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        "adaptIntegrateBallTri"
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    },
    {
      "page": "adaptIntegrateSpherePolar",
      "title": "Adaptive integration over sphere or ball in n-dimensions",
      "topics": [
        "adaptIntegrateBallPolar",
        "adaptIntegrateBallPolarSplit",
        "adaptIntegrateSpherePolar",
        "adaptIntegrateSpherePolarSplit"
      ]
    },
    {
      "page": "adaptIntegrateSphereTri",
      "title": "Adaptive integration over spherical triangles",
      "topics": [
        "adaptIntegrateSphereTri",
        "adaptIntegrateSphereTri3d",
        "adaptIntegrateSphereTriI0",
        "adaptIntegrateSphereTriI1",
        "adaptIntegrateSphereTriSubdivideK"
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    },
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      "title": "Integration of polynomials over sphere or ball.",
      "topics": [
        "integrateBallPolynomial",
        "integrateSpherePolynomial"
      ]
    },
    {
      "page": "integrateSphereStroud11",
      "title": "Integrate a function over the sphere in n-dimensions.",
      "topics": [
        "integrateSphereStroud11"
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    },
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      "page": "rect2polar",
      "title": "n-dimensional polar coordinate transformations",
      "topics": [
        "polar2rect",
        "rect2polar"
      ]
    },
    {
      "page": "sphereArea",
      "title": "Surface area of spheres, volumes of balls in n-dimensions.",
      "topics": [
        "ballVolume",
        "sphereArea"
      ]
    },
    {
      "page": "SphericalMisc",
      "title": "Miscellaneous internal functions used by SphericalCubature package.",
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        "adaptIntegrateSphereCheck",
        "CheckUnitVectors",
        "nextBinary",
        "nextGraySubset",
        "nextMultiIndex",
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