## The Mathematical Symbol "Not Tilde (≁)"

The "Not Tilde" Symbol (≁): An Expression of Non-Equivalence

Mathematical notation has a myriad of symbols to express relationships between quantities, operations, and objects. Among these symbols, the ≁ or "Not Tilde" holds a particular importance when highlighting non-equivalence or dissimilarity between entities. This short lesson covers the depth, significance, and applications of ≁.

## Decoding the ≁ Symbol

The ≁ symbol fundamentally denotes that two entities are not similar to or not equivalent. It is the negation of the tilde (~), which usually represents similarity or approximation.

Example 1: Mathematical Relations

Let's consider two functions \( f(x) \) and \( g(x) \). If they are not approximately equivalent, we can express this as: \( f(x) ≁ g(x) \).

Example 2: Expressing Dissimilarity

If we have two vectors \( \mathbf{A} \) and \( \mathbf{B} \) that are not similar in some defined manner, it can be articulated as: \( \mathbf{A} ≁ \mathbf{B} \).

## Domains of ≁ Application

The ≁ symbol finds usage across various mathematical disciplines:

**Algebra:**To indicate that two algebraic structures are not isomorphic or similar.**Analysis:**Demonstrating that two functions are not approximately equivalent.**Vector Spaces:**to show non-similarity between vectors or matrices.

While the ≁ symbol often stands as an indicator of non-equivalence, it's essential to be context-aware. Depending on the mathematical context, its specific interpretation might vary, but its central theme revolves around a lack of similarity or approximation.

In summary, the ≁ symbol serves as an indispensable tool in mathematics to indicate non-equivalence or dissimilarity. Its presence ensures that mathematical expressions are accurate, succinct, and free from ambiguity, making it an integral part of the mathematical lexicon.

## Are You Good at Mathematical Symbols?

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

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- 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**

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## Codes for the ≁ Symbol

The Symbol | ≁ | |

Alt Code | Alt 8769 | |

HTML Code | ≁ | |

HTML Entity | ≁ | |

CSS Code | \2241 | |

Hex Code | ≁ | |

Unicode | U+2241 |

## 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 8769. 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: "\2241";} </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: ≁ |

**0x2241**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+2241**. 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 |
---|---|

2241 [Hold down Alt] [Press x] | ≁ (The 2241 turns into ≁. Note that you can omit any leading zeros.) |

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

let str = "\u2241" document.write("My symbol: " + str) | My symbol: ≁ |

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## More about Mathematical Symbols

Mathematics is a universal language that is used to describe and understand the intricacies of the universe. At the heart of this language are symbols, concise representations that convey specific meanings and ideas.Just as letters come together to form words in spoken languages, mathematical symbols combine to form expressions and equations, encapsulating intricate ideas in a compact form. The history of these symbols is as varied as their meanings; some have been in use for centuries while others have been introduced more recently to describe new discoveries and concepts. Whether you are a student, educator, researcher, or simply curious, this list of mathematical symbols will serve as a guide, shedding light on their meanings, origins, and applications.

From the simple plus and minus signs to the more esoteric and complex, each symbol has its unique story and significance.