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Regular version of the site

Article

On decision trees for orthants

Information Processing Letters. 1997. Vol. 62. No. 5. P. 265-268.

M. Rabin's principle asserts that the depth of any algebraic decision tree, recognizing a closed orthant in scRn, is no less than n. Using the techniques of Newton polyhedra, we give the shortest possible proof of this fact, extending it to arbitrary collections of open or closed orthants, and apply it to trees distinguishing real polynomials having at least l real roots.