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单词 Space filling curve
释义

Space filling curve

英语百科

Space-filling curve

(重定向自Space filling curve)
Three iterations of the Peano curve construction, whose limit is a space-filling curve.
Six iterations of the Hilbert curve construction, whose limiting space-filling curve was devised by mathematician David Hilbert.
Das Standardbeispiel: die Hilbert-Kurve
Extrait de l'article original de Hilbert

In mathematical analysis, a space-filling curve is a curve whose range contains the entire 2-dimensional unit square (or more generally an n-dimensional unit hypercube). Because Giuseppe Peano (1858–1932) was the first to discover one, space-filling curves in the 2-dimensional plane are sometimes called Peano curves, but that phrase also refers to the Peano curve, the specific example of a space-filling curve found by Peano.

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更新时间:2025/6/22 16:02:35