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The Fermat number F_n is prime iff 3^(2^(2^n-1))=-1 (mod F_n).

1%.

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)).

For a permutation alpha in the symmetric group S_p, the alpha-permutation graph of a labeled graph G is the graph union of two disjoint copies of G (say, G_1 and G_2), ...

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

An affine isoperimetric inequality.

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)] ...

The Betti numbers of a compact orientable n-manifold satisfy the relation b_i=b_(n-i).