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N. 3 - 21 aprile 2001 - Giano Bifronte

N. 3 - 21 aprile 2001 - Giano Bifronte

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136<br />

G.Faina e F. Pambianco, On the spectrum of the values k for which a<br />

complete k-cap in PG(n, q) exists, Journal of Geometry 62 (1998), 84-<br />

98.<br />

G.Faina e M. Giulietti, A survey of some recent constructions that lead<br />

to complete arcs in Galois projective planes, Sem. Math. Inf. Univ.<br />

Hagen 63 (1998), 149-164.<br />

G. Faina, Packing problem, teoria dei codici e crittografia, Italian J.<br />

Appl. Math., to appear.<br />

5. Conclusione<br />

Ci piace affidare la conclusione di questo nostro breve trattato, alle<br />

parole di B. Buchberger riportate a commento del suo articolo:<br />

Mathematica: Doing mathematics by computer?, A. Miola (ed.),<br />

Advances in the design of symbolic computation systems. Wien:<br />

Springer. Texts and Monographs in Symbolic Computation. 2-20<br />

(1997).<br />

"We discussed the question of whether present symbolic computation<br />

systems can truly be considered as "doing mathematics by computer''.<br />

Although our answer was "no'' for the present systems we believe that,<br />

with research directed into appropriate directions, significant progress<br />

will be possible in the near future for making symbolic computation<br />

systems assisting humans more fundamentally when "doing<br />

mathematics''. Various research projects aiming at this goal are under<br />

way worldwide. Partly, they start from computer algebra systems like<br />

Mathematica and move into the direction of incorporating more proving<br />

power. Partly, they start from sophisticated provers and move into the<br />

direction of incorporating more algebraic computation power."

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