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Block


The term "block" is used in mathematics for a distinguished constituent of a larger structure, with its precise meaning determined by context.

In design theory, the blocks of a block design are distinguished subsets of its point set.

In graph theory, a graph block is a maximal connected subgraph without an articulation vertex.

In combinatorics, a set block is one of the subsets comprising a set partition.

For a group action, a group block is a subset that is either preserved by each group element or mapped disjointly from itself.

In linear algebra, the smaller matrices comprising a block matrix are called blocks.

A digit block is a consecutive string of digits in a numeral.


See also

Block Design, Block Matrix, Digit Block, Graph Block, Group Block, Set Block

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Cite this as:

Weisstein, Eric W. "Block." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Block.html

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