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The square of the area of the base (i.e., the face opposite the right trihedron) of a trirectangular tetrahedron is equal to the sum of the squares of the areas of its other ...

Every finite-dimensional Lie algebra of characteristic p=0 has a faithful finite-dimensional representation.

An n-dimensional closed disk of radius r is the collection of points of distance <=r from a fixed point in n-dimensional Euclidean space. Krantz (1999, p. 3) uses the symbol ...

A three-dimensional shadow of a four-dimensional Klein bottle.

A set in R^d formed by translating an affine subspace or by the intersection of a set of hyperplanes.

A one-dimensional map whose increments are distributed according to a normal distribution. Let y(t-Deltat) and y(t+Deltat) be values, then their correlation is given by the ...

The great sphere on the surface of a hypersphere is the three-dimensional analog of the great circle on the surface of a sphere. Let 2h be the number of reflecting spheres, ...

A d-hyperoctant is one of the 2^d regions of space defined by the 2^d possible combinations of signs (+/-,+/-,...,+/-). The 2-hyperoctant is known as a quadrant and the ...

A three-dimensional shadow of a four-dimensional Klein bottle.

Every finite-dimensional Lie algebra of characteristic p!=0 has a faithful finite-dimensional representation.