query: Unfolding the $n$-dimensional sphere
positive_passages.docid: 19497
positive_passages.text: Analogue of spherical coordinates in $n$-dimensions
negative_passages.docid: 26691
negative_passages.text: Uniformly distributed n-dimensional probability vectors over a simplex
negative_passages.docid: 152725
negative_passages.text: Why does $S^n$ satisfy the local $n$-slice condition? (From Lee's Smooth Manifolds)
negative_passages.docid: 57740
negative_passages.text: Counting independent components of Riemann curvature tensor
negative_passages.docid: 64993
negative_passages.text: Connectedness of the $S^2$ sphere
negative_passages.docid: 18141
negative_passages.text: Embedding $S_n$ into $A_{n+2}$
negative_passages.docid: 28511
negative_passages.text: Hypervolume of a $N$-dimensional ball in $p$-norm
negative_passages.docid: 133327
negative_passages.text: N unlabelled balls in M labeled buckets
negative_passages.docid: 108909
negative_passages.text: Is the unit sphere in $\Bbb R^4$ path connected?
negative_passages.docid: 99361
negative_passages.text: Sample a random rotation in $n$ dimensions
negative_passages.docid: 134081
negative_passages.text: What is the Cartesian product of $n$ polygons?
negative_passages.docid: 110353
negative_passages.text: Is $\mathbb{R}^n$ a polyhedron?
negative_passages.docid: 43480
negative_passages.text: Visualizing the 4th dimension.
negative_passages.docid: 50731
negative_passages.text: Isometries of the sphere $\mathbb{S}^{n}$
negative_passages.docid: 90365
negative_passages.text: Riemannian Manifolds with $n(n+1)/2$ dimensional symmetry group
negative_passages.docid: 10998
negative_passages.text: Embedding $S_n$ in $A_{2n}$
negative_passages.docid: 154935
negative_passages.text: What is the metric tensor on the n-sphere (hypersphere)?