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Unisolvent point set : ウィキペディア英語版
Unisolvent point set

In approximation theory, a finite collection of points X \subset R^n is often called unisolvent for a space W if any element w \in W is uniquely determined by its values on X.


X is unisolvent for \Pi^m_n (polynomials in n variables of degree at most m) if there exists a unique polynomial in \Pi^m_n of lowest possible degree which interpolates the data X.
Simple examples in R would be the fact that two distinct points determine a line, three points determine a parabola, etc. It is clear that over R, any collection of ''k'' + 1 distinct points will uniquely determine a polynomial of lowest possible degree in \Pi^k.
==See also==

*Padua points

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「Unisolvent point set」の詳細全文を読む



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