Banach-Tarski paradox

[¦bä‚näk ¦tär·skē ′par·ə‚däks] (mathematics) A theorem stating that, for any two bounded sets, with interior points in a Euclidean space of dimension at least three, one of the sets can be disassembled into a finite number of pieces and reassembled to form the other set by moving the pieces with rigid motions (translations and rotations).

Banach-Tarski paradox

(mathematics)It is possible to cut a solid ball into finitelymany pieces (actually about half a dozen), and then put thepieces together again to get two solid balls, each the samesize as the original.

This paradox is a consequence of the Axiom of Choice.

单词	banach-tarski paradox
释义	Banach-Tarski paradox Banach-Tarski paradox [¦bä‚näk ¦tär·skē ′par·ə‚däks] (mathematics) A theorem stating that, for any two bounded sets, with interior points in a Euclidean space of dimension at least three, one of the sets can be disassembled into a finite number of pieces and reassembled to form the other set by moving the pieces with rigid motions (translations and rotations). Banach-Tarski paradox (mathematics)It is possible to cut a solid ball into finitelymany pieces (actually about half a dozen), and then put thepieces together again to get two solid balls, each the samesize as the original. This paradox is a consequence of the Axiom of Choice.
随便看	punishes someone by punishes someone for punishes someone with punishes something by punishes something for punishes something with punishes them by punishes them for punishes themselves by punishes themselves for punishes themselves with punishes them with punishes us by punishes us for punishes us with walking cast walking catfish walking, competitive walking conveyor walking corpse syndrome walking crane walking cycle walking dandruff walking days walking delegate