partition

Let $a,b\\in\\mathbb{R}$ with $a<b$ . A partition of an interval $[a,b]$ is a set of nonempty subintervals $\\{[a,x_{1}),[x_{1},x_{2}),\\dots,[x_{n-1},b]\\}$ for some positive integer $n$ . That is, $a<x_{1}<x_{2}<\\dots<x_{n-1}<b$ . Note that $n$ is the number of subintervals in the partition.

Subinterval partitions are useful for defining Riemann integrals.

Note that subinterval partition is a specific case of a partition (http://planetmath.org/Partition) of a set since the subintervals are defined so that they are pairwise disjoint.

单词	Partition1
释义	partition Let $a,b\\in\\mathbb{R}$ with $a<b$ . A partition of an interval $[a,b]$ is a set of nonempty subintervals $\\{[a,x_{1}),[x_{1},x_{2}),\\dots,[x_{n-1},b]\\}$ for some positive integer $n$ . That is, $a<x_{1}<x_{2}<\\dots<x_{n-1}<b$ . Note that $n$ is the number of subintervals in the partition. Subinterval partitions are useful for defining Riemann integrals. Note that subinterval partition is a specific case of a partition (http://planetmath.org/Partition) of a set since the subintervals are defined so that they are pairwise disjoint.
随便看	Kunihiko Kodaira KunnethTheorem Kunneth theorem KupkaSmale Kupka-Smale KupkaSmaleTheorem Kupka-Smale theorem KuratowskiClosurecomplementTheorem Kuratowski closure-complement theorem KuratowskisEmbeddingTheorem KuratowskisLemma KuratowskisTheorem Kuratowski’s embedding theorem Kuratowski’s lemma Kuratowski’s theorem KurodaNormalForm Kuroda normal form KuroshOreTheorem Kurosh-Ore theorem KurtHeegner Kurt Heegner KurtMahler Kurt Mahler KustaaInkeri Kustaa Inkeri