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The polynomial giving the number of colorings with m colors of a structure defined by a permutation group.

The cumulative frequency in a frequency distribution divided by the total number of data points.

The ratio of the absolute frequency to the total number of data points in a frequency distribution.

The sequency k of a Walsh function is defined as half the number of zero crossings in the time base.

A tree having an infinite number of branches and whose nodes are sequences generated by a set of rules.

A matrix is ill-conditioned if the condition number is too large (and singular if it is infinite).

The set of all sets is its own power set. Therefore, the cardinal number of the set of all sets must be bigger than itself.

Let G be a graph and S a subgraph of G. Let the number of odd components in G-S be denoted S^', and |S| the number of graph vertices of S. The condition |S|>=S^' for every ...

The Smarandache function mu(n) is the function first considered by Lucas (1883), Neuberg (1887), and Kempner (1918) and subsequently rediscovered by Smarandache (1980) that ...

An alternating knot is a knot which possesses a knot diagram in which crossings alternate between under- and overpasses. Not all knot diagrams of alternating knots need be ...