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An example of a (7,3,1) difference set in the group / is the subset {,,}. The translates of this difference set form the Fano plane . Since every difference set gives a symmetric design , the parameter set must satisfy the Bruck–Ryser–Chowla theorem .
In mathematics, the symmetric difference of two sets, also known as the disjunctive union and set sum, is the set of elements which are in either of the sets, but not in their intersection. For example, the symmetric difference of the sets { 1 , 2 , 3 } {\displaystyle \{1,2,3\}} and { 3 , 4 } {\displaystyle \{3,4\}} is { 1 , 2 , 4 ...
An example of a (7,3,1) difference set in the group / (an abelian group written additively) is the subset {1,2,4}. The development of this difference set gives the Fano plane . Since every difference set gives an SBIBD, the parameter set must satisfy the Bruck–Ryser–Chowla theorem , but not every SBIBD gives a difference set.
This article lists mathematical properties and laws of sets, involving the set-theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating expressions, and performing calculations, involving these operations and relations.
A set of polygons in an Euler diagram This set equals the one depicted above since both have the very same elements.. In mathematics, a set is a collection of different [1] things; [2] [3] [4] these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other ...
Symmetric difference of sets A and B, denoted A B or A ⊖ B, is the set of all objects that are a member of exactly one of A and B (elements which are in one of the sets, but not in both). For instance, for the sets {1, 2, 3} and {2, 3, 4}, the symmetric difference set is {1, 4}.
The Minkowski difference (also Minkowski subtraction, Minkowski decomposition, or geometric difference) [1] is the corresponding inverse, where () produces a set that could be summed with B to recover A. This is defined as the complement of the Minkowski sum of the complement of A with the reflection of B about the origin. [2]
For example: The intersection of the sets {1, 2, 3} and {2, 3, 4} is {2, 3}. ... Naive set theory – Informal set theories; Symmetric difference – Elements in ...