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词汇 Partition of a set
分类 英语词汇 英语翻译词典
释义

Partition of a set

中文百科

集合划分

把一个集合划分成6块的欧拉图表示。
A set of stamps partitioned into bundles: No stamp is in two bundles, no bundle is empty, and every stamp is in a bundle.
The 52 partitions of a set with 5 elements. A colored region indicates a subset of X, forming a member of the enclosing partition. Uncolored dots indicate single-element subsets. The first shown partition contains five single-element subsets; the last partition contains one subset having five elements.
The traditional Japanese symbols for the chapters of the Tale of Genji are based on the 52 ways of partitioning five elements.[1]

在数学中，集合X的划分是把X分割到覆盖了X的全部元素而又不重叠的“部分”或“块”或“单元”中。更加形式的说，这些“单元”对于被划分的集合是既全无遗漏又相互排斥的。

集合X的划分是X的非空子集的集合，使得每个X的元素x都只包含在这些子集的其中一个内。

等价的说，X的子集的集合P是X的划分，如果

P的元素有时叫作划分的块或部分。

英语百科

Partition of a set 集合划分

A set of stamps partitioned into bundles: No stamp is in two bundles, no bundle is empty, and every stamp is in a bundle.
The 52 partitions of a set with 5 elements. A colored region indicates a subset of X, forming a member of the enclosing partition. Uncolored dots indicate single-element subsets. The first shown partition contains five single-element subsets; the last partition contains one subset having five elements.
The traditional Japanese symbols for the chapters of the Tale of Genji are based on the 52 ways of partitioning five elements.[1]
Partitions of a 4-set ordered by refinement

In mathematics, a partition of a set is a grouping of the set's elements into non-empty subsets, in such a way that every element is included in one and only one of the subsets.
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