Jordan curve theorem

短语

释义与例句

n.
  1. 1.

    The theorem that states that a simple closed curve (Jordan curve) divides the plane into precisely two distinct areas.

    数学
  2. 2.

    Used other than figuratively or idiomatically: see Jordan curve, theorem.

    2009, Josef Šlapal, Jordan Curve Theorems with Respect to Certain Pretopologies on ℤ², Srecko Brlek, Christophe Reutenauer, Xavier Provençal (editors), Discrete Geometry for Computer Imagery: 15th IAPR International Conference, Springer, LNCS 5810, page 252, Some known Jordan curves in the basic topology are used to prove Jordan curve theorems that identify Jordan curves among simple closed ones in each of the four quotient pretopologies.