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We give a Descartes'-like bound on the number of positive solutions to asystem of fewnomials that holds when its exponent vectors are not in convexposition and a sign condition is satisfied. This was discovered whiledeveloping algorithms and software for computing the Gale transform of afewnomial system, which is our main goal. This software is a component of apackage we are developing for Khovanskii-Rolle continuation, which is anumerical algorithm to compute the real solutions to a system of fewnomials.

Software for the Gale transform of fewnomial systems and a Descartes rule for fewnomials