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The coloring red of two complete subgraphs of n/2 points (for even n) in order to generate a blue-empty graph.

Two links can be continuously deformed into each other iff any diagram of one can be transformed into a diagram of the other by a sequence of Reidemeister moves.

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.

If the knot K is the boundary K=f(S^1) of a singular disk f:D->S^3 which has the property that each self-intersecting component is an arc A subset f(D^2) for which f^(-1)(A) ...

If any of the roots of a polynomial are increased, then all of the critical points increase.

In the illusion illustrated above, when the concentric square borders with rounded edges are rotated slowly, the entire pattern appears to pulsate radially.

A semiprime ring which is also an Artinian ring.

If a triangle is inscribed in a conic section, any line conjugate to one side meets the other two sides in conjugate points.

Let K and L be simplicial complexes, and let f:K^((0))->L^((0)) be a map. Suppose that whenever the vertices v_0, ..., v_n of K span a simplex of K, the points f(v_0), ..., ...