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An important result in ergodic theory. It states that any two "Bernoulli schemes" with the same measure-theoretic entropy are measure-theoretically isomorphic.

The ordinary differential equation

In a space E equipped with a symmetric, differential k-form, or Hermitian form, the orthogonal sum is the direct sum of two subspaces V and W, which are mutually orthogonal. ...

In any tree, the number of dissimilar points minus the number of dissimilar lines plus the number of symmetry lines equals 1.

An outcome is a subset of a probability space. Experimental outcomes are not uniquely determined from the description of an experiment, and must be agreed upon to avoid ...

The statistical index P_P=(sump_nq_n)/(sump_0q_n), where p_n is the price per unit in period n and q_n is the quantity produced in period n.

A papal cross is a cross having three crossbars. A schematic polyomino version of a papal cross is illustrated above.

For a parabola oriented vertically and opening upwards, the vertex is the point where the curve reaches a minimum.

A parabolic cyclide formed by inversion of a spindle torus when the inversion sphere is tangent to the torus.

In the above figure, the sides a and b have the same length, appearances to the contrary. In the related illusion illustrated above, the interior lines appear to be of ...