Rabu, 11 Desember 2024

Venn Diagram Terms

Venn Diagram Terminologies Or Set Notation

A Venn diagram is a widely used diagram style that shows the logical relation between sets.
Set notation is mathematical notation that is used in set theory and probability.
  • (Mathematic) Sets
  • Mathematical Sets Texts commonly denote sets by capital letters in italic, such as A, B, C. ExampleA is Set A
  • Venn Diagram / A Set Diagram Or Logic Diagram
  • Set Element / Set Membership: 
    ExampleAB , 
    ∈. A belongs to B
  • Not An Element Of: 
  • Roster or Enumeration Notation is when we list elements within a set, we use these { } Curly Brackets and separate each element in the list with , commas.
    Example: If A={2,3,5,7,11}
  • The Cardinality Of A Set, n(A), is the number of elements in a set.
    Example: If A={2,3,5,7,11}, n(A)=5.
  • Infinite Sets In Roster Notation. An infinite set is a set with an infinite number of elements. If the pattern of its elements is obvious, an infinite set can be given in roster notation, with an ellipsis placed at the end of the list, or at both ends, to indicate that the list continues forever.
    Example: If A is the set of all integers is A= {..., −3, −2, −1, 0, 1, 2, 3, ...}.
  • Set-Builder Notation A can be defined as follows:
    A ={n |n is an integer, and 0 < n < 19\}.
    ={n | n is an integer, and 0 < n < 19}
  • The Complement Of A Set is denoted to an apostrophe It would be the remaining elements in the universal set that are not part of that set.
    ExampleA' is Complement Of A Set.
  • Intersection Of Two Sets AB
  • Union Of Two Sets AB
  • Symmetric Difference Of Two Sets A : AB  △ B}
  • Relative Complement Of A (Left) In B (Right)
    ACB = B\A
    or
    A'B = B\A
  • Absolute Complement Of A In U
    AC=U\A
    or
    A'=U\A
  • Difference Set A\B
  • Empty Set Or Null Set Or Set Contains No Elements Φ or ϕ
  • SubSet A⊂B  (where ‘⊂’ means ‘subset of’).
  • Disjoint Set AB = ϕ or A≠B or AB = {}

Bibliography

https://en.wikipedia.org/
https://thirdspacelearning.com/
https://www.alt-codes.net/
https://www.calculators.org/

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