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BACKGROUND The question of how many marine species exist is important because it provides a metric for how much we do and do not know about life in the oceans. We have compiled the first register of the marine species of the world and used this baseline to estimate how many more species, partitioned among all major eukaryotic groups, may be discovered. (More)
Using oriented matroids, and with the help of a computer, we have found a set of 10 points in R 4 not projectively equivalent to the vertices of a convex polytope. This result confirms a conjecture of Larman [6] in dimension 4. PROBLEM (McMullen [6]). Determine the largest integer n = f (d) such that for any given n points in general position in R d there(More)
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