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	ImaginaryQuadraticField imaginary quadratic field ImaginaryUnit imaginary unit Immanent immanent Immersion immersion Implication implication ImplicationalClass implicational class ImplicationsOfHavingDivisorTheory implications of having divisor theory ImplicitDifferentiation implicit differentiation ImplicitFunctionTheorem implicit function theorem ImportanceOfPrimitiveRecursion importance of primitive recursion ImpracticalNumber impractical number ImproperIntegral improper integral ImproperLimits