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A sum over all cluster perimeters.

A point x_0 is said to be a periodic point of a function f of period n if f^n(x_0)=x_0, where f^0(x)=x and f^n(x) is defined recursively by f^n(x)=f(f^(n-1)(x)).

An integral which is equivalent to the Denjoy integral "in the restricted sense."

A fractal process for which H>1/2, so r>0.

An affine isoperimetric inequality.

A heptomino in the shape of the Greek character pi.

A plane curve is a curve that lies in a single plane. A plane curve may be closed or open. Curves which are interesting for some reason and whose properties have therefore ...

A braid in which strands are intertwined in the center and are free in "handles" on either side of the diagram.

A distribution with kurtosis excess gamma_2<0, and therefore having a flattened shape.

For s_1,s_2=+/-1, lim_(epsilon_1->0; epsilon_2->0)1/(x_1-is_1epsilon_1)1/(x_2-is_2epsilon_2) =[PV(1/(x_1))+ipis_1delta(x_1)][PV(1/(x_2))+ipis_2delta(x_2)] ...