Xref: utzoo sci.math:10176 comp.theory:421 Path: utzoo!mnetor!tmsoft!torsqnt!jarvis.csri.toronto.edu!cs.utexas.edu!usc!zaphod.mps.ohio-state.edu!sol.ctr.columbia.edu!emory!vicki From: vicki@mathcs.emory.edu (Vicki Powers) Newsgroups: sci.math,comp.theory Subject: Re: polynomials Message-ID: <5103@emory.mathcs.emory.edu> Date: 6 Mar 90 14:44:50 GMT References: <4499@ucrmath.UCR.EDU> <2335@sunset.MATH.UCLA.EDU> Followup-To: sci.math Organization: Emory U. Math/CS Dept. Lines: 17 In article <2335@sunset.MATH.UCLA.EDU>, dgc@vijayaraghavan.math.ucla.edu (David G. Cantor) writes: > This is closely related to Hilbert Problem 17, solved by Emil Artin. He > showed that a polynomial with real coefficients is non-negative for all Correction: Hilbert's 17th problem was solved by Artin and Schreier. They developed the theory of ordered fields to do so. Vicki -- Vicki Powers | vicki@mathcs.emory.edu PREFERRED Emory University | {sun!sunatl,gatech}!emory!vicki UUCP Dept of Math and CS | vicki@emory NON-DOMAIN BITNET Atlanta, GA 30322 |