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In mathematics, the Fekete problem is, given a natural number ''N'' and a real ''s'' ≥ 0, to find the points ''x''1,...,''x''''N'' on the 2-sphere for which the ''s''-energy, defined by : for ''s'' > 0 and by : for ''s'' = 0, is minimal. For ''s'' > 0, such points are called ''s''-''Fekete points'', and for ''s'' = 0, ''logarithmic Fekete points'' (see ). More generally, one can consider the same problem on the ''d''-dimensional sphere, or on a Riemannian manifold (in which case ||''x''''i'' −''x''''j''|| is replaced with the Riemannian distance between ''x''''i'' and ''x''''j''). The problem originated in the paper by who considered the one-dimensional, ''s'' = 0 case, answering a question of Issai Schur. An algorithmic version of the Fekete problem is number 7 on the list of problems discussed by . ==References== * * * * 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Fekete problem」の詳細全文を読む スポンサード リンク
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