Contains-as-Member Symbol

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HTML Meaning
∋
∋
U+220B
Contains-as-Member Symbol
The Contains-as-Member Symbol, denoted as ∋, is used in mathematics to indicate that a set contains a given element.
∌
U+220C
Not-Contains-as-Member Symbol
The Not-Contains-as-Member Symbol, denoted as ∌, signifies that a set does not contain a given element.

What is the Contains-as-Member Symbol?

The Contains-as-Member Symbol, symbolized by ∋, indicates that a set contains a particular element.

Example of Using Contains-as-Member

In set theory, a statement like A ∋ a reads "set A contains element a."

Comparing Contains-as-Member and Not-Contains-as-Member

The Contains-as-Member Symbol (∋) signifies inclusion of an element in a set, while the Not-Contains-as-Member Symbol (∌) denotes that a set does not contain a specific element.

Applications and Unique Uses of the Contains-as-Member Symbol

The Contains-as-Member Symbol (∋) is versatile:

  • Mathematics: Essential in set theory to denote that a set includes a particular element.
  • Computer Science: Employed in data structure and algorithm design to express containment relationships.
  • Logic: Used in logical and mathematical expressions to illustrate the concept of containment.

Reversal of Perspective in Set Theory

While the Element-of Symbol (∈) provides a perspective from the element's point of view ("element is in set"), the Contains-as-Member Symbol (∋) offers a set-centric perspective ("set contains element"). This dual approach allows for more flexible expression of relationships in set theory and logic.

How to Type the Contains-as-Member Symbol Using Keyboard Shortcuts, Alt Codes, and LaTeX

  • Windows: For some keyboards, hold down the Alt key and type 8715 on the numeric keypad, then release the Alt key.
  • Mac: This might vary based on specific applications and fonts.
  • Linux: Press Ctrl + Shift + u, then type 220B and press Enter.
  • HTML: Use the named entity ∋ or the numeric entity ∋.
  • LaTeX: To type the Contains-as-Member Symbol in LaTeX, use the command \ni or \owns.

Symbols' Images

Contains-as-Member SymbolNot-Contains-as-Member Symbol