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A continuous, constructive solution to Hilbert's 17th problem.
Inventiones mathematicae, Tome 76 (1984), pp. 365-384 Cet article a éte moissonné depuis la source European Digital Mathematics Library

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Mots-clés : continuous sums of squares, semi-algebraic geometry, Hilbert’s 17th problem, continuous dependence on variables and coefficients, positive semi-definite polynomial, ordered field, real closure, sum of squares, weighted SOS, continuous, piecewise rational solution, semi- algebraic sets 
@article{IM_1984__76_143128,
     author = {C.N. Delzell},
     title = {A continuous, constructive solution to {Hilbert's} 17th problem.},
     journal = {Inventiones mathematicae},
     pages = {365--384},
     year = {1984},
     volume = {76},
     zbl = {0547.12017},
     url = {http://geodesic.mathdoc.fr/item/IM_1984__76_143128/}
}
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C.N. Delzell. A continuous, constructive solution to Hilbert's 17th problem.. Inventiones mathematicae, Tome 76 (1984), pp. 365-384. http://geodesic.mathdoc.fr/item/IM_1984__76_143128/