## The Mathematical Symbol "Double Union (⋓)"

Delving into the "Double Union" Symbol (⋓): A Set Theoretical Overview

Mathematics, with its vast array of symbols, offers concise ways to represent complex operations and relationships. In the domain of set theory, the "Double Union", designated as ⋓, holds special significance.

## Unraveling the ⋓ Symbol

At its core, the ⋓ symbol is often associated with a union operation over a collection of sets rather than just two individual sets. While the regular union operation combines two sets, the double union can be used to represent the union of multiple sets, especially when working within a family of sets or a sequence of them.

Example 1:

Imagine we have a family of sets \( \{ A_i \} \) where \( i \) ranges from 1 to n. If we wish to represent the union of all these sets, the notation would be:

⋓ _{i=1}^{n} \( A_i \)

Example 2:

Let's say we're working with a sequence of sets defined by some property, such as \( B_k \) representing all integers divisible by \( k \). To express the union of all such sets for values of \( k \) from 1 to m, we would denote:

⋓ _{k=1}^{m} \( B_k \)

The ⋓ symbol streamlines mathematical expressions, especially when dealing with infinite unions or unions over a defined index set. Understanding this symbol, along with its counterpart for intersection (⋒), is fundamental for anyone delving deeper into set theory and its applications.

## Are You Good at Mathematical Symbols?

Do you know, or can you guess, the technical symbols? Well, let's see!**Gold**

**Silver**

**Bronze**

- This test has questions.
- A correct answer is worth 5 points.
- You can get up to 5 bonus points for a speedy answer.
- Some questions demand more than one answer. You must get every part right.
**Beware!**Wrong answers score 0 points.- 🏆 If you beat one of the top 3 scores, you will be invited to apply for the Hall of Fame.

**Scoring System**

Guru (+)

Hero (+)

Captain (+)

Sergeant (+)

Recruit (+)

## Codes for the ⋓ Symbol

The Symbol | ⋓ | |

Alt Code | Alt 8915 | |

HTML Code | ⋓ | |

HTML Entity | ⋓ | |

CSS Code | \22D3 | |

Hex Code | ⋓ | |

Unicode | U+22D3 |

## How To Insert the ⋓ Symbol

(Method 1) Copy and paste the symbol.

The easiest way to get the ⋓ symbol is to copy and paste it into your document.Bear in mind that this is a UTF-8 encoded character. It must be encoded as UTF-8 at all stages (copying, replacing, editing, pasting), otherwise it will render as random characters or the dreaded �.

(Method 2) Use the "Alt Code."

If you have a keyboard with a numeric pad, you can use this method. Simply hold down the Alt key and type 8915. When you lift the Alt key, the symbol appears. ("Num Lock" must be on.)(Method 3) Use the HTML Decimal Code (for webpages).

HTML Text | Output |
---|---|

<b>My symbol: ⋓</b> | My symbol: ⋓ |

(Method 4) Use the HTML Entity Code (for webpages).

HTML Text | Output |
---|---|

<b>My symbol: ⋓</b> | My symbol: ⋓ |

(Method 5) Use the CSS Code (for webpages).

CSS and HTML Text | Output |
---|---|

<style> span:after { content: "\22D3";} </style> <span>My symbol:</span> | My symbol: ⋓ |

(Method 6) Use the HTML Hex Code (for webpages and HTML canvas).

HTML Text | Output |
---|---|

<b>My symbol: ⋓</b> | My symbol: ⋓ |

**0x22D3**to place the ⋓ symbol on your canvas. For example:

JavaScript Text |
---|

const x = "0x"+"E9" ctx.fillText(String.fromCodePoint(x), 5, 5); |

Output |

⋓ |

(Method 7) Use the Unicode (for various, e.g. Microsoft Office, JavaScript, Perl).

The Unicode for ⋓ is**U+22D3**. The important part is the hexadecimal number after the

**U+**, which is used in various formats. For example, in Microsoft Office applications (e.g. Word, PowerPoint), do the following:

Type | Output |
---|---|

22D3 [Hold down Alt] [Press x] | ⋓ (The 22D3 turns into ⋓. Note that you can omit any leading zeros.) |

JavaScript Text | Output |
---|---|

let str = "\u22D3" document.write("My symbol: " + str) | My symbol: ⋓ |