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The mean square displacement (MSD) of a set of N displacements x_n is given by <|x|^2>=sum_(k=1)^N|x_k|^2. It arises particularly in Brownian motion and random walk problems. ...

The mean tetrahedron volume V^_ is the average volume of a tetrahedron in tetrahedron picking within some given shape. As summarized in the following table, it is possible to ...

Let (X,A,mu) and (Y,B,nu) be measure spaces. A measurable rectangle is a set of the form A×B for A in A and B in B.

If F is a sigma-algebra and A is a subset of X, then A is called measurable if A is a member of F. X need not have, a priori, a topological structure. Even if it does, there ...

A Boolean sigma-algebra which possesses a measure.

A measure space is a measurable space possessing a nonnegative measure. Examples of measure spaces include n-dimensional Euclidean space with Lebesgue measure and the unit ...

A set of points capable of being enclosed in intervals whose total length is arbitrarily small.

2^(20)=1024^2=1048576 bytes. Although the term megabyte is almost universally used to refer to 1024^2 bytes, such usage is deprecated in favor of the standard SI naming ...

The boundaries of the cells of a Voronoi diagram.

The 30-faced dual of the truncated dodecadodecahedron and Wenninger dual W_(98).