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Is it always true that either three red numbers or three blue numbers will form an arithmetic progression ? " What we have is a collision of deeply held values , deeply felt emotions and medical science , " chairman Greg Hooser , an attorney with Sneed , Vine & Perry , told the Houston Chronicle . " Its definition combines both additive and multiplicative aspects of the integers , and the ' greedy ' property of its definition produces a complicated dependence on the earlier terms of the sequence . The sampling margin of error was plus or minus 3 percentage points . Suppose that each integer from 1 through 9 is printed on a page in one of two colors , either red or blue ( shown below in bold ) . So I feel both Egyptian and American . " From this , I was able to generalize both the linear and circular case of Rados ' conjecture and another conjecture due to Jaroslav Nesteril . The scientist who pioneered the ideas responsible for this development is Manfred R. Schroeder of the University of G & 0uml ; ttingen in Germany .