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Hilbert
WebThe first part of Hilbert's 16th problem [ edit] In 1876, Harnack investigated algebraic curves in the real projective plane and found that curves of degree n could have no more than. separate connected components. Furthermore, he showed how to construct curves that attained that upper bound, and thus that it was the best possible bound. WebNow we consider solutions in multiple variables, N > 1. We examine those inequalities that involve x N. Because we have declared that all elements of the solution must be greater than or equal to 1, we know that there is at least a lower bound on x N: x N ≥ 1. There might also be additional lower bounds or upper bounds. distressed metal pendant lighting
Hilbert problems - Encyclopedia of Mathematics
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